{[
[[[1, 25]], 1/13526054605946880000],
[[[2, 25]], 1/13526054605946880000],
[[[1, 1], [2, 24]], 121/13526054605946880000],
[[[1, 1], [4, 12]], 1/3774873600],
[[[1, 1], [8, 6]], 1/184320],
[[[1, 2], [2, 23]], 7/15028949562163200],
[[[1, 3], [2, 22]], 1031/75144747810816000],
[[[1, 4], [2, 21]], 38137/150289495621632000],
[[[1, 5], [2, 20]], 18673/6011579824865280],
[[[1, 5], [4, 10]], 1/13589544960],
[[[1, 6], [2, 19]], 87847231/3381513651486720000],
[[[1, 7], [2, 18]], 513259291/3381513651486720000],
[[[1, 8], [2, 17]], 21096683/33397665693696000],
[[[1, 9], [2, 16]], 192584873/100192997081088000],
[[[1, 9], [3, 8]], 43/201553920],
[[[1, 9], [4, 8]], 151/1739461754880],
[[[1, 9], [5, 4]], 1/480000],
[[[1, 10], [2, 15]], 56156153/12524124635136000],
[[[1, 11], [2, 14]], 21006097/2504824927027200],
[[[1, 11], [3, 7]], 101/1612431360],
[[[1, 12], [2, 13]], 13794077033/1127171217162240000],
[[[1, 13], [2, 12]], 13794077033/1127171217162240000],
[[[1, 13], [3, 6]], 1301/257989017600],
[[[1, 13], [4, 6]], 1/579820584960],
[[[1, 13], [5, 3]], 1/276480000],
[[[1, 14], [2, 11]], 21006097/2504824927027200],
[[[1, 15], [2, 10]], 56156153/12524124635136000],
[[[1, 15], [3, 5]], 43/51597803520],
[[[1, 16], [2, 9]], 192584873/100192997081088000],
[[[1, 17], [2, 8]], 21096683/33397665693696000],
[[[1, 17], [3, 4]], 1043/16511297126400],
[[[1, 17], [4, 4]], 1/69578470195200],
[[[1, 17], [5, 2]], 1/424673280000],
[[[1, 18], [2, 7]], 513259291/3381513651486720000],
[[[1, 19], [2, 6]], 87847231/3381513651486720000],
[[[1, 19], [3, 3]], 43/33022594252800],
[[[1, 20], [2, 5]], 18673/6011579824865280],
[[[1, 21], [2, 4]], 38137/150289495621632000],
[[[1, 21], [3, 2]], 61/5283615080448000],
[[[1, 21], [4, 2]], 1/18786186952704000],
[[[1, 21], [5, 1]], 1/1467670855680000],
[[[1, 22], [2, 3]], 1031/75144747810816000],
[[[1, 23], [2, 2]], 7/15028949562163200],
[[[1, 23], [3, 1]], 1/21134460321792000],
[[[1, 24], [2, 1]], 121/13526054605946880000],
[[[2, 1], [4, 12]], 1/3774873600],
[[[2, 1], [8, 6]], 1/184320],
[[[2, 5], [4, 10]], 1/13589544960],
[[[2, 9], [4, 8]], 151/1739461754880],
[[[2, 9], [6, 8]], 43/201553920],
[[[2, 9], [10, 4]], 1/480000],
[[[2, 11], [6, 7]], 101/1612431360],
[[[2, 13], [4, 6]], 1/579820584960],
[[[2, 13], [6, 6]], 1301/257989017600],
[[[2, 13], [10, 3]], 1/276480000],
[[[2, 15], [6, 5]], 43/51597803520],
[[[2, 17], [4, 4]], 1/69578470195200],
[[[2, 17], [6, 4]], 1043/16511297126400],
[[[2, 17], [10, 2]], 1/424673280000],
[[[2, 19], [6, 3]], 43/33022594252800],
[[[2, 21], [4, 2]], 1/18786186952704000],
[[[2, 21], [6, 2]], 61/5283615080448000],
[[[2, 21], [10, 1]], 1/1467670855680000],
[[[2, 23], [6, 1]], 1/21134460321792000],
[[[1, 1], [2, 2], [4, 11]], 1/62914560],
[[[1, 1], [2, 4], [4, 10]], 13/13589544960],
[[[1, 1], [2, 6], [4, 9]], 113/33973862400],
[[[1, 1], [2, 8], [4, 8]], 323/347892350976],
[[[1, 1], [2, 8], [6, 8]], 43/201553920],
[[[1, 1], [2, 8], [10, 4]], 1/480000],
[[[1, 1], [2, 10], [4, 7]], 1879/1087163596800],
[[[1, 1], [2, 10], [6, 7]], 707/1612431360],
[[[1, 1], [2, 12], [4, 6]], 37/579820584960],
[[[1, 1], [2, 12], [6, 6]], 18731/257989017600],
[[[1, 1], [2, 12], [10, 3]], 31/276480000],
[[[1, 1], [2, 14], [4, 5]], 7/289910292480],
[[[1, 1], [2, 14], [6, 5]], 871/51597803520],
[[[1, 1], [2, 16], [4, 4]], 13/13915694039040],
[[[1, 1], [2, 16], [6, 4]], 30503/16511297126400],
[[[1, 1], [2, 16], [10, 2]], 61/424673280000],
[[[1, 1], [2, 18], [4, 3]], 7/52183852646400],
[[[1, 1], [2, 18], [6, 3]], 2161/33022594252800],
[[[1, 1], [2, 20], [4, 2]], 31/6262062317568000],
[[[1, 1], [2, 20], [6, 2]], 4471/5283615080448000],
[[[1, 1], [2, 20], [8, 1]], 1/2348273369088000],
[[[1, 1], [2, 20], [10, 1]], 91/1467670855680000],
[[[1, 1], [2, 22], [4, 1]], 7/28179280429056000],
[[[1, 1], [2, 22], [6, 1]], 97/21134460321792000],
[[[1, 1], [4, 4], [8, 4]], 13/3145728],
[[[1, 1], [4, 4], [12, 4]], 1/6912],
[[[1, 1], [4, 4], [20, 2]], 1/1600],
[[[1, 1], [4, 6], [12, 3]], 1/18432],
[[[1, 1], [4, 8], [8, 2]], 13/188743680],
[[[1, 1], [4, 8], [12, 2]], 29/5898240],
[[[1, 1], [4, 8], [20, 1]], 13/14745600],
[[[1, 1], [4, 10], [12, 1]], 1/14155776],
[[[1, 1], [8, 2], [16, 2]], 5/4096],
[[[1, 1], [8, 2], [24, 2]], 1/288],
[[[1, 1], [8, 2], [40, 1]], 1/80],
[[[1, 1], [8, 4], [24, 1]], 1/1152],
[[[1, 1], [16, 1], [32, 1]], 1/128],
[[[1, 2], [2, 1], [4, 11]], 1/62914560],
[[[1, 2], [2, 3], [4, 10]], 797/2264924160],
[[[1, 2], [2, 5], [4, 9]], 491/11324620800],
[[[1, 2], [2, 7], [4, 8]], 7781/144955146240],
[[[1, 2], [2, 7], [8, 4]], 1/1048576],
[[[1, 2], [2, 9], [4, 7]], 841/40265318400],
[[[1, 2], [2, 9], [6, 7]], 101/179159040],
[[[1, 2], [2, 11], [4, 6]], 277883/21743271936000],
[[[1, 2], [2, 11], [6, 6]], 389/1146617856],
[[[1, 2], [2, 11], [10, 3]], 1/1228800],
[[[1, 2], [2, 13], [4, 5]], 263/289910292480],
[[[1, 2], [2, 13], [6, 5]], 41/318504960],
[[[1, 2], [2, 15], [4, 4]], 59/434865438720],
[[[1, 2], [2, 15], [6, 4]], 3989/183458856960],
[[[1, 2], [2, 15], [8, 2]], 1/1087163596800],
[[[1, 2], [2, 15], [10, 2]], 1/314572800],
[[[1, 2], [2, 17], [4, 3]], 17/1932735283200],
[[[1, 2], [2, 17], [6, 3]], 4573/3669177139200],
[[[1, 2], [2, 19], [3, 2]], 1/5283615080448000],
[[[1, 2], [2, 19], [4, 2]], 1573/3131031158784000],
[[[1, 2], [2, 19], [5, 1]], 1/1467670855680000],
[[[1, 2], [2, 19], [6, 2]], 323/13045963161600],
[[[1, 2], [2, 19], [8, 1]], 91/2348273369088000],
[[[1, 2], [2, 19], [10, 1]], 1/434865438720],
[[[1, 2], [2, 21], [3, 1]], 1/7044820107264000],
[[[1, 2], [2, 21], [4, 1]], 131/5635856085811200],
[[[1, 2], [2, 21], [6, 1]], 109/587068342272000],
[[[1, 3], [2, 2], [4, 10]], 797/2264924160],
[[[1, 3], [2, 4], [4, 9]], 7351/2038431744],
[[[1, 3], [2, 6], [4, 8]], 94913/144955146240],
[[[1, 3], [2, 6], [8, 4]], 5/1048576],
[[[1, 3], [2, 8], [4, 7]], 158597/407686348800],
[[[1, 3], [2, 8], [6, 7]], 101/537477120],
[[[1, 3], [2, 10], [4, 6]], 3378403/21743271936000],
[[[1, 3], [2, 10], [6, 6]], 3191/5733089280],
[[[1, 3], [2, 10], [8, 3]], 19/1132462080],
[[[1, 3], [2, 10], [10, 3]], 11/6144000],
[[[1, 3], [2, 12], [4, 5]], 99599/2174327193600],
[[[1, 3], [2, 12], [6, 5]], 1303/2866544640],
[[[1, 3], [2, 14], [4, 4]], 199/43486543872],
[[[1, 3], [2, 14], [6, 4]], 72503/550376570880],
[[[1, 3], [2, 14], [8, 2]], 61/1087163596800],
[[[1, 3], [2, 14], [10, 2]], 151/4718592000],
[[[1, 3], [2, 16], [4, 3]], 15449/39137889484800],
[[[1, 3], [2, 16], [6, 3]], 15017/1223059046400],
[[[1, 3], [2, 18], [3, 2]], 91/5283615080448000],
[[[1, 3], [2, 18], [4, 2]], 231023/9393093476352000],
[[[1, 3], [2, 18], [5, 1]], 91/1467670855680000],
[[[1, 3], [2, 18], [6, 2]], 44657/117413668454400],
[[[1, 3], [2, 18], [8, 1]], 1/695784701952],
[[[1, 3], [2, 18], [10, 1]], 491/10871635968000],
[[[1, 3], [2, 20], [3, 1]], 31/2348273369088000],
[[[1, 3], [2, 20], [4, 1]], 2527/2817928042905600],
[[[1, 3], [2, 20], [6, 1]], 3617/880602513408000],
[[[1, 3], [3, 1], [4, 10]], 1/424673280],
[[[1, 3], [4, 5], [8, 3]], 1/2097152],
[[[1, 3], [4, 9], [8, 1]], 1/566231040],
[[[1, 4], [2, 1], [4, 10]], 13/13589544960],
[[[1, 4], [2, 3], [4, 9]], 7351/2038431744],
[[[1, 4], [2, 5], [4, 8]], 15896233/869730877440],
[[[1, 4], [2, 5], [8, 4]], 43/3145728],
[[[1, 4], [2, 7], [4, 7]], 12589/3185049600],
[[[1, 4], [2, 9], [4, 6]], 7503851/5218385264640],
[[[1, 4], [2, 9], [6, 6]], 2311/5733089280],
[[[1, 4], [2, 9], [8, 3]], 89/226492416],
[[[1, 4], [2, 9], [10, 3]], 11/6144000],
[[[1, 4], [2, 11], [4, 5]], 356813/724775731200],
[[[1, 4], [2, 11], [6, 5]], 73/95551488],
[[[1, 4], [2, 13], [3, 4]], 1/5503765708800],
[[[1, 4], [2, 13], [4, 4]], 4916309/52183852646400],
[[[1, 4], [2, 13], [5, 2]], 1/424673280000],
[[[1, 4], [2, 13], [6, 4]], 5983/13589544960],
[[[1, 4], [2, 13], [8, 2]], 79/60397977600],
[[[1, 4], [2, 13], [10, 2]], 509/3145728000],
[[[1, 4], [2, 15], [3, 3]], 1/3669177139200],
[[[1, 4], [2, 15], [4, 3]], 371639/39137889484800],
[[[1, 4], [2, 15], [6, 3]], 51287/733835427840],
[[[1, 4], [2, 17], [3, 2]], 29/39137889484800],
[[[1, 4], [2, 17], [4, 2]], 715159/1252412463513600],
[[[1, 4], [2, 17], [5, 1]], 1/434865438720],
[[[1, 4], [2, 17], [6, 2]], 4213/1223059046400],
[[[1, 4], [2, 17], [8, 1]], 491/17394617548800],
[[[1, 4], [2, 17], [10, 1]], 13/25165824000],
[[[1, 4], [2, 19], [3, 1]], 667/1320903770112000],
[[[1, 4], [2, 19], [4, 1]], 262691/14089640214528000],
[[[1, 4], [2, 19], [6, 1]], 2879/52183852646400],
[[[1, 5], [2, 2], [4, 9]], 491/11324620800],
[[[1, 5], [2, 4], [4, 8]], 15896233/869730877440],
[[[1, 5], [2, 4], [8, 4]], 43/3145728],
[[[1, 5], [2, 6], [4, 7]], 25669663/543581798400],
[[[1, 5], [2, 8], [4, 6]], 17883413/1739461754880],
[[[1, 5], [2, 8], [6, 6]], 149/1146617856],
[[[1, 5], [2, 8], [8, 3]], 833/377487360],
[[[1, 5], [2, 8], [10, 3]], 1/1228800],
[[[1, 5], [2, 10], [4, 5]], 2745083/869730877440],
[[[1, 5], [2, 10], [6, 5]], 1/1492992],
[[[1, 5], [2, 12], [3, 4]], 61/5503765708800],
[[[1, 5], [2, 12], [4, 4]], 42631541/52183852646400],
[[[1, 5], [2, 12], [5, 2]], 61/424673280000],
[[[1, 5], [2, 12], [6, 4]], 33937/40768634880],
[[[1, 5], [2, 12], [8, 2]], 919/60397977600],
[[[1, 5], [2, 12], [10, 2]], 823/1887436800],
[[[1, 5], [2, 14], [3, 3]], 7/407686348800],
[[[1, 5], [2, 14], [4, 3]], 171787/1630745395200],
[[[1, 5], [2, 14], [6, 3]], 35353/146767085568],
[[[1, 5], [2, 16], [3, 2]], 751/39137889484800],
[[[1, 5], [2, 16], [4, 2]], 8716579/1252412463513600],
[[[1, 5], [2, 16], [5, 1]], 491/10871635968000],
[[[1, 5], [2, 16], [6, 2]], 47729/2446118092800],
[[[1, 5], [2, 16], [8, 1]], 13/40265318400],
[[[1, 5], [2, 16], [10, 1]], 41/11324620800],
[[[1, 5], [2, 18], [3, 1]], 54799/5283615080448000],
[[[1, 5], [2, 18], [4, 1]], 1933/8349416423424],
[[[1, 5], [2, 18], [6, 1]], 8281/17394617548800],
[[[1, 5], [3, 2], [4, 8]], 1/106168320],
[[[1, 5], [3, 4], [9, 2]], 1/7776],
[[[1, 5], [4, 2], [8, 4]], 1/1048576],
[[[1, 5], [4, 4], [12, 3]], 1/663552],
[[[1, 5], [4, 6], [8, 2]], 73/1509949440],
[[[1, 5], [4, 6], [12, 2]], 1/2359296],
[[[1, 5], [4, 6], [20, 1]], 1/5898240],
[[[1, 5], [4, 8], [12, 1]], 1/70778880],
[[[1, 5], [8, 3], [16, 1]], 1/131072],
[[[1, 6], [2, 1], [4, 9]], 113/33973862400],
[[[1, 6], [2, 3], [4, 8]], 94913/144955146240],
[[[1, 6], [2, 3], [8, 4]], 5/1048576],
[[[1, 6], [2, 5], [4, 7]], 25669663/543581798400],
[[[1, 6], [2, 7], [3, 6]], 101/257989017600],
[[[1, 6], [2, 7], [4, 6]], 7475696377/97844723712000],
[[[1, 6], [2, 7], [5, 3]], 1/276480000],
[[[1, 6], [2, 7], [6, 6]], 3131/257989017600],
[[[1, 6], [2, 7], [8, 3]], 199/41943040],
[[[1, 6], [2, 7], [10, 3]], 31/276480000],
[[[1, 6], [2, 9], [3, 5]], 1/5733089280],
[[[1, 6], [2, 9], [4, 5]], 4542473/289910292480],
[[[1, 6], [2, 9], [6, 5]], 2693/8599633920],
[[[1, 6], [2, 11], [3, 4]], 23/61152952320],
[[[1, 6], [2, 11], [4, 4]], 3394541/815372697600],
[[[1, 6], [2, 11], [5, 2]], 1/314572800],
[[[1, 6], [2, 11], [6, 4]], 1294273/1375941427200],
[[[1, 6], [2, 11], [8, 2]], 1537/14495514624],
[[[1, 6], [2, 11], [10, 2]], 74153/106168320000],
[[[1, 6], [2, 13], [3, 3]], 4777/11007531417600],
[[[1, 6], [2, 13], [4, 3]], 1384393/2174327193600],
[[[1, 6], [2, 13], [6, 3]], 17097421/33022594252800],
[[[1, 6], [2, 15], [3, 2]], 563/1834588569600],
[[[1, 6], [2, 15], [4, 2]], 38491387/782757789696000],
[[[1, 6], [2, 15], [5, 1]], 13/25165824000],
[[[1, 6], [2, 15], [6, 2]], 15748387/220150628352000],
[[[1, 6], [2, 15], [8, 1]], 41/18119393280],
[[[1, 6], [2, 15], [10, 1]], 983057/61152952320000],
[[[1, 6], [2, 17], [3, 1]], 19819/156551557939200],
[[[1, 6], [2, 17], [4, 1]], 76009/41747082117120],
[[[1, 6], [2, 17], [6, 1]], 2406227/880602513408000],
[[[1, 7], [2, 2], [4, 8]], 7781/144955146240],
[[[1, 7], [2, 2], [8, 4]], 1/1048576],
[[[1, 7], [2, 4], [4, 7]], 12589/3185049600],
[[[1, 7], [2, 6], [3, 6]], 3131/257989017600],
[[[1, 7], [2, 6], [4, 6]], 7475696377/97844723712000],
[[[1, 7], [2, 6], [5, 3]], 31/276480000],
[[[1, 7], [2, 6], [6, 6]], 101/257989017600],
[[[1, 7], [2, 6], [8, 3]], 199/41943040],
[[[1, 7], [2, 6], [10, 3]], 1/276480000],
[[[1, 7], [2, 8], [3, 5]], 11/1911029760],
[[[1, 7], [2, 8], [4, 5]], 221432287/3261490790400],
[[[1, 7], [2, 8], [6, 5]], 611/8599633920],
[[[1, 7], [2, 10], [3, 4]], 431/61152952320],
[[[1, 7], [2, 10], [4, 4]], 19927397/1304596316160],
[[[1, 7], [2, 10], [5, 2]], 151/4718592000],
[[[1, 7], [2, 10], [6, 4]], 896113/1375941427200],
[[[1, 7], [2, 10], [8, 2]], 1943/4831838208],
[[[1, 7], [2, 10], [10, 2]], 74153/106168320000],
[[[1, 7], [2, 12], [3, 3]], 62251/11007531417600],
[[[1, 7], [2, 12], [4, 3]], 32688343/13045963161600],
[[[1, 7], [2, 12], [6, 3]], 23827267/33022594252800],
[[[1, 7], [2, 14], [3, 2]], 7279/2446118092800],
[[[1, 7], [2, 14], [4, 2]], 172719611/782757789696000],
[[[1, 7], [2, 14], [5, 1]], 41/11324620800],
[[[1, 7], [2, 14], [6, 2]], 38432107/220150628352000],
[[[1, 7], [2, 14], [8, 1]], 991697/97844723712000],
[[[1, 7], [2, 14], [10, 1]], 2858717/61152952320000],
[[[1, 7], [2, 16], [3, 1]], 152267/156551557939200],
[[[1, 7], [2, 16], [4, 1]], 11105009/1174136684544000],
[[[1, 7], [2, 16], [6, 1]], 9421259/880602513408000],
[[[1, 7], [3, 1], [4, 8]], 1/1698693120],
[[[1, 7], [3, 3], [9, 2]], 1/31104],
[[[1, 7], [3, 6], [9, 1]], 1/31104],
[[[1, 7], [4, 3], [8, 3]], 91/1132462080],
[[[1, 7], [4, 7], [8, 1]], 53/18119393280],
[[[1, 8], [2, 1], [3, 8]], 43/201553920],
[[[1, 8], [2, 1], [4, 8]], 323/347892350976],
[[[1, 8], [2, 1], [5, 4]], 1/480000],
[[[1, 8], [2, 3], [3, 7]], 101/537477120],
[[[1, 8], [2, 3], [4, 7]], 158597/407686348800],
[[[1, 8], [2, 5], [3, 6]], 149/1146617856],
[[[1, 8], [2, 5], [4, 6]], 17883413/1739461754880],
[[[1, 8], [2, 5], [5, 3]], 1/1228800],
[[[1, 8], [2, 5], [8, 3]], 833/377487360],
[[[1, 8], [2, 7], [3, 5]], 611/8599633920],
[[[1, 8], [2, 7], [4, 5]], 221432287/3261490790400],
[[[1, 8], [2, 7], [6, 5]], 11/1911029760],
[[[1, 8], [2, 9], [3, 4]], 22997/366917713920],
[[[1, 8], [2, 9], [4, 4]], 4583602441/104367705292800],
[[[1, 8], [2, 9], [5, 2]], 2039/9437184000],
[[[1, 8], [2, 9], [6, 4]], 33091/122305904640],
[[[1, 8], [2, 9], [8, 2]], 233029/271790899200],
[[[1, 8], [2, 9], [10, 2]], 4627/9437184000],
[[[1, 8], [2, 11], [3, 3]], 1963/48922361856],
[[[1, 8], [2, 11], [4, 3]], 95675129/13045963161600],
[[[1, 8], [2, 11], [6, 3]], 90643/135895449600],
[[[1, 8], [2, 13], [3, 2]], 1317809/73383542784000],
[[[1, 8], [2, 13], [4, 2]], 2198576899/3131031158784000],
[[[1, 8], [2, 13], [5, 1]], 1000337/61152952320000],
[[[1, 8], [2, 13], [6, 2]], 5770159/19568944742400],
[[[1, 8], [2, 13], [8, 1]], 3057437/97844723712000],
[[[1, 8], [2, 13], [10, 1]], 506291/5435817984000],
[[[1, 8], [2, 15], [3, 1]], 1442147/293534171136000],
[[[1, 8], [2, 15], [4, 1]], 7985953/234827336908800],
[[[1, 8], [2, 15], [6, 1]], 11480803/391378894848000],
[[[1, 9], [2, 2], [3, 7]], 101/179159040],
[[[1, 9], [2, 2], [4, 7]], 841/40265318400],
[[[1, 9], [2, 4], [3, 6]], 2311/5733089280],
[[[1, 9], [2, 4], [4, 6]], 7503851/5218385264640],
[[[1, 9], [2, 4], [5, 3]], 11/6144000],
[[[1, 9], [2, 4], [8, 3]], 89/226492416],
[[[1, 9], [2, 6], [3, 5]], 2693/8599633920],
[[[1, 9], [2, 6], [4, 5]], 4542473/289910292480],
[[[1, 9], [2, 6], [6, 5]], 1/5733089280],
[[[1, 9], [2, 8], [3, 4]], 33091/122305904640],
[[[1, 9], [2, 8], [4, 4]], 4583602441/104367705292800],
[[[1, 9], [2, 8], [5, 2]], 4627/9437184000],
[[[1, 9], [2, 8], [6, 4]], 22997/366917713920],
[[[1, 9], [2, 8], [8, 2]], 233029/271790899200],
[[[1, 9], [2, 8], [10, 2]], 2039/9437184000],
[[[1, 9], [2, 10], [3, 3]], 39889/244611809280],
[[[1, 9], [2, 10], [4, 3]], 1264142321/78275778969600],
[[[1, 9], [2, 10], [6, 3]], 500609/1223059046400],
[[[1, 9], [2, 12], [3, 2]], 5141969/73383542784000],
[[[1, 9], [2, 12], [4, 2]], 602162767/347892350976000],
[[[1, 9], [2, 12], [5, 1]], 3221597/61152952320000],
[[[1, 9], [2, 12], [6, 2]], 20871407/58706834227200],
[[[1, 9], [2, 12], [8, 1]], 200593/2899102924800],
[[[1, 9], [2, 12], [10, 1]], 82033/603979776000],
[[[1, 9], [2, 14], [3, 1]], 1684717/97844723712000],
[[[1, 9], [2, 14], [4, 1]], 85732417/939309347635200],
[[[1, 9], [2, 14], [6, 1]], 69043193/1174136684544000],
[[[1, 9], [3, 2], [4, 6]], 1/905969664],
[[[1, 9], [3, 2], [5, 3]], 1/432000],
[[[1, 9], [3, 2], [9, 2]], 1/4976640],
[[[1, 9], [3, 4], [4, 4]], 1/169869312],
[[[1, 9], [3, 4], [5, 2]], 1/1036800],
[[[1, 9], [3, 5], [9, 1]], 1/124416],
[[[1, 9], [3, 6], [4, 2]], 101/1433272320],
[[[1, 9], [3, 6], [5, 1]], 101/111974400],
[[[1, 9], [4, 2], [5, 3]], 1/1536000],
[[[1, 9], [4, 4], [5, 2]], 1/13107200],
[[[1, 9], [4, 4], [8, 2]], 1/503316480],
[[[1, 9], [4, 4], [12, 2]], 1/169869312],
[[[1, 9], [4, 4], [20, 1]], 1/47185920],
[[[1, 9], [4, 6], [5, 1]], 1/251658240],
[[[1, 9], [4, 6], [12, 1]], 1/679477248],
[[[1, 10], [2, 1], [3, 7]], 707/1612431360],
[[[1, 10], [2, 1], [4, 7]], 1879/1087163596800],
[[[1, 10], [2, 3], [3, 6]], 3191/5733089280],
[[[1, 10], [2, 3], [4, 6]], 3378403/21743271936000],
[[[1, 10], [2, 3], [5, 3]], 11/6144000],
[[[1, 10], [2, 3], [8, 3]], 19/1132462080],
[[[1, 10], [2, 5], [3, 5]], 1/1492992],
[[[1, 10], [2, 5], [4, 5]], 2745083/869730877440],
[[[1, 10], [2, 7], [3, 4]], 896113/1375941427200],
[[[1, 10], [2, 7], [4, 4]], 19927397/1304596316160],
[[[1, 10], [2, 7], [5, 2]], 74153/106168320000],
[[[1, 10], [2, 7], [6, 4]], 431/61152952320],
[[[1, 10], [2, 7], [8, 2]], 1943/4831838208],
[[[1, 10], [2, 7], [10, 2]], 151/4718592000],
[[[1, 10], [2, 9], [3, 3]], 500609/1223059046400],
[[[1, 10], [2, 9], [4, 3]], 1264142321/78275778969600],
[[[1, 10], [2, 9], [6, 3]], 39889/244611809280],
[[[1, 10], [2, 11], [3, 2]], 1177913/6522981580800],
[[[1, 10], [2, 11], [4, 2]], 200241991/62620623175680],
[[[1, 10], [2, 11], [5, 1]], 126551/1087163596800],
[[[1, 10], [2, 11], [6, 2]], 5986081/19568944742400],
[[[1, 10], [2, 11], [8, 1]], 304723/2899102924800],
[[[1, 10], [2, 11], [10, 1]], 834041/5435817984000],
[[[1, 10], [2, 13], [3, 1]], 155359841/3522410053632000],
[[[1, 10], [2, 13], [4, 1]], 914879981/4696546738176000],
[[[1, 10], [2, 13], [6, 1]], 97717/1087163596800],
[[[1, 11], [2, 2], [3, 6]], 389/1146617856],
[[[1, 11], [2, 2], [4, 6]], 277883/21743271936000],
[[[1, 11], [2, 2], [5, 3]], 1/1228800],
[[[1, 11], [2, 4], [3, 5]], 73/95551488],
[[[1, 11], [2, 4], [4, 5]], 356813/724775731200],
[[[1, 11], [2, 6], [3, 4]], 1294273/1375941427200],
[[[1, 11], [2, 6], [4, 4]], 3394541/815372697600],
[[[1, 11], [2, 6], [5, 2]], 74153/106168320000],
[[[1, 11], [2, 6], [6, 4]], 23/61152952320],
[[[1, 11], [2, 6], [8, 2]], 1537/14495514624],
[[[1, 11], [2, 6], [10, 2]], 1/314572800],
[[[1, 11], [2, 8], [3, 3]], 90643/135895449600],
[[[1, 11], [2, 8], [4, 3]], 95675129/13045963161600],
[[[1, 11], [2, 8], [6, 3]], 1963/48922361856],
[[[1, 11], [2, 10], [3, 2]], 5986081/19568944742400],
[[[1, 11], [2, 10], [4, 2]], 200241991/62620623175680],
[[[1, 11], [2, 10], [5, 1]], 834041/5435817984000],
[[[1, 11], [2, 10], [6, 2]], 1177913/6522981580800],
[[[1, 11], [2, 10], [8, 1]], 304723/2899102924800],
[[[1, 11], [2, 10], [10, 1]], 126551/1087163596800],
[[[1, 11], [2, 12], [3, 1]], 287708813/3522410053632000],
[[[1, 11], [2, 12], [4, 1]], 3303199/10436770529280],
[[[1, 11], [2, 12], [6, 1]], 402169/3913788948480],
[[[1, 11], [3, 1], [4, 6]], 1/3623878656],
[[[1, 11], [3, 1], [5, 3]], 1/1728000],
[[[1, 11], [3, 3], [4, 4]], 1/339738624],
[[[1, 11], [3, 3], [5, 2]], 1/2073600],
[[[1, 11], [3, 4], [9, 1]], 1/19906560],
[[[1, 11], [3, 5], [4, 2]], 1/95551488],
[[[1, 11], [3, 5], [5, 1]], 1/7464960],
[[[1, 11], [4, 5], [8, 1]], 1/24159191040],
[[[1, 12], [2, 1], [3, 6]], 18731/257989017600],
[[[1, 12], [2, 1], [4, 6]], 37/579820584960],
[[[1, 12], [2, 1], [5, 3]], 31/276480000],
[[[1, 12], [2, 3], [3, 5]], 1303/2866544640],
[[[1, 12], [2, 3], [4, 5]], 99599/2174327193600],
[[[1, 12], [2, 5], [3, 4]], 33937/40768634880],
[[[1, 12], [2, 5], [4, 4]], 42631541/52183852646400],
[[[1, 12], [2, 5], [5, 2]], 823/1887436800],
[[[1, 12], [2, 5], [6, 4]], 61/5503765708800],
[[[1, 12], [2, 5], [8, 2]], 919/60397977600],
[[[1, 12], [2, 5], [10, 2]], 61/424673280000],
[[[1, 12], [2, 7], [3, 3]], 23827267/33022594252800],
[[[1, 12], [2, 7], [4, 3]], 32688343/13045963161600],
[[[1, 12], [2, 7], [6, 3]], 62251/11007531417600],
[[[1, 12], [2, 9], [3, 2]], 20871407/58706834227200],
[[[1, 12], [2, 9], [4, 2]], 602162767/347892350976000],
[[[1, 12], [2, 9], [5, 1]], 82033/603979776000],
[[[1, 12], [2, 9], [6, 2]], 5141969/73383542784000],
[[[1, 12], [2, 9], [8, 1]], 200593/2899102924800],
[[[1, 12], [2, 9], [10, 1]], 3221597/61152952320000],
[[[1, 12], [2, 11], [3, 1]], 402169/3913788948480],
[[[1, 12], [2, 11], [4, 1]], 3303199/10436770529280],
[[[1, 12], [2, 11], [6, 1]], 287708813/3522410053632000],
[[[1, 13], [2, 2], [3, 5]], 41/318504960],
[[[1, 13], [2, 2], [4, 5]], 263/289910292480],
[[[1, 13], [2, 4], [3, 4]], 5983/13589544960],
[[[1, 13], [2, 4], [4, 4]], 4916309/52183852646400],
[[[1, 13], [2, 4], [5, 2]], 509/3145728000],
[[[1, 13], [2, 4], [6, 4]], 1/5503765708800],
[[[1, 13], [2, 4], [8, 2]], 79/60397977600],
[[[1, 13], [2, 4], [10, 2]], 1/424673280000],
[[[1, 13], [2, 6], [3, 3]], 17097421/33022594252800],
[[[1, 13], [2, 6], [4, 3]], 1384393/2174327193600],
[[[1, 13], [2, 6], [6, 3]], 4777/11007531417600],
[[[1, 13], [2, 8], [3, 2]], 5770159/19568944742400],
[[[1, 13], [2, 8], [4, 2]], 2198576899/3131031158784000],
[[[1, 13], [2, 8], [5, 1]], 506291/5435817984000],
[[[1, 13], [2, 8], [6, 2]], 1317809/73383542784000],
[[[1, 13], [2, 8], [8, 1]], 3057437/97844723712000],
[[[1, 13], [2, 8], [10, 1]], 1000337/61152952320000],
[[[1, 13], [2, 10], [3, 1]], 97717/1087163596800],
[[[1, 13], [2, 10], [4, 1]], 914879981/4696546738176000],
[[[1, 13], [2, 10], [6, 1]], 155359841/3522410053632000],
[[[1, 13], [3, 2], [4, 4]], 7/18119393280],
[[[1, 13], [3, 2], [5, 2]], 7/110592000],
[[[1, 13], [3, 4], [4, 2]], 41/15288238080],
[[[1, 13], [3, 4], [5, 1]], 41/1194393600],
[[[1, 13], [4, 2], [5, 2]], 1/1179648000],
[[[1, 13], [4, 2], [8, 2]], 1/1087163596800],
[[[1, 13], [4, 4], [5, 1]], 1/15099494400],
[[[1, 14], [2, 1], [3, 5]], 871/51597803520],
[[[1, 14], [2, 1], [4, 5]], 7/289910292480],
[[[1, 14], [2, 3], [3, 4]], 72503/550376570880],
[[[1, 14], [2, 3], [4, 4]], 199/43486543872],
[[[1, 14], [2, 3], [5, 2]], 151/4718592000],
[[[1, 14], [2, 3], [8, 2]], 61/1087163596800],
[[[1, 14], [2, 5], [3, 3]], 35353/146767085568],
[[[1, 14], [2, 5], [4, 3]], 171787/1630745395200],
[[[1, 14], [2, 5], [6, 3]], 7/407686348800],
[[[1, 14], [2, 7], [3, 2]], 38432107/220150628352000],
[[[1, 14], [2, 7], [4, 2]], 172719611/782757789696000],
[[[1, 14], [2, 7], [5, 1]], 2858717/61152952320000],
[[[1, 14], [2, 7], [6, 2]], 7279/2446118092800],
[[[1, 14], [2, 7], [8, 1]], 991697/97844723712000],
[[[1, 14], [2, 7], [10, 1]], 41/11324620800],
[[[1, 14], [2, 9], [3, 1]], 69043193/1174136684544000],
[[[1, 14], [2, 9], [4, 1]], 85732417/939309347635200],
[[[1, 14], [2, 9], [6, 1]], 1684717/97844723712000],
[[[1, 15], [2, 2], [3, 4]], 3989/183458856960],
[[[1, 15], [2, 2], [4, 4]], 59/434865438720],
[[[1, 15], [2, 2], [5, 2]], 1/314572800],
[[[1, 15], [2, 2], [8, 2]], 1/1087163596800],
[[[1, 15], [2, 4], [3, 3]], 51287/733835427840],
[[[1, 15], [2, 4], [4, 3]], 371639/39137889484800],
[[[1, 15], [2, 4], [6, 3]], 1/3669177139200],
[[[1, 15], [2, 6], [3, 2]], 15748387/220150628352000],
[[[1, 15], [2, 6], [4, 2]], 38491387/782757789696000],
[[[1, 15], [2, 6], [5, 1]], 983057/61152952320000],
[[[1, 15], [2, 6], [6, 2]], 563/1834588569600],
[[[1, 15], [2, 6], [8, 1]], 41/18119393280],
[[[1, 15], [2, 6], [10, 1]], 13/25165824000],
[[[1, 15], [2, 8], [3, 1]], 11480803/391378894848000],
[[[1, 15], [2, 8], [4, 1]], 7985953/234827336908800],
[[[1, 15], [2, 8], [6, 1]], 1442147/293534171136000],
[[[1, 15], [3, 1], [4, 4]], 1/217432719360],
[[[1, 15], [3, 1], [5, 2]], 1/1327104000],
[[[1, 15], [3, 3], [4, 2]], 23/91729428480],
[[[1, 15], [3, 3], [5, 1]], 23/7166361600],
[[[1, 15], [4, 3], [8, 1]], 1/4348654387200],
[[[1, 16], [2, 1], [3, 4]], 30503/16511297126400],
[[[1, 16], [2, 1], [4, 4]], 13/13915694039040],
[[[1, 16], [2, 1], [5, 2]], 61/424673280000],
[[[1, 16], [2, 3], [3, 3]], 15017/1223059046400],
[[[1, 16], [2, 3], [4, 3]], 15449/39137889484800],
[[[1, 16], [2, 5], [3, 2]], 47729/2446118092800],
[[[1, 16], [2, 5], [4, 2]], 8716579/1252412463513600],
[[[1, 16], [2, 5], [5, 1]], 41/11324620800],
[[[1, 16], [2, 5], [6, 2]], 751/39137889484800],
[[[1, 16], [2, 5], [8, 1]], 13/40265318400],
[[[1, 16], [2, 5], [10, 1]], 491/10871635968000],
[[[1, 16], [2, 7], [3, 1]], 9421259/880602513408000],
[[[1, 16], [2, 7], [4, 1]], 11105009/1174136684544000],
[[[1, 16], [2, 7], [6, 1]], 152267/156551557939200],
[[[1, 17], [2, 2], [3, 3]], 4573/3669177139200],
[[[1, 17], [2, 2], [4, 3]], 17/1932735283200],
[[[1, 17], [2, 4], [3, 2]], 4213/1223059046400],
[[[1, 17], [2, 4], [4, 2]], 715159/1252412463513600],
[[[1, 17], [2, 4], [5, 1]], 13/25165824000],
[[[1, 17], [2, 4], [6, 2]], 29/39137889484800],
[[[1, 17], [2, 4], [8, 1]], 491/17394617548800],
[[[1, 17], [2, 4], [10, 1]], 1/434865438720],
[[[1, 17], [2, 6], [3, 1]], 2406227/880602513408000],
[[[1, 17], [2, 6], [4, 1]], 76009/41747082117120],
[[[1, 17], [2, 6], [6, 1]], 19819/156551557939200],
[[[1, 17], [3, 2], [4, 2]], 41/9784472371200],
[[[1, 17], [3, 2], [5, 1]], 41/764411904000],
[[[1, 17], [4, 2], [5, 1]], 1/2717908992000],
[[[1, 18], [2, 1], [3, 3]], 2161/33022594252800],
[[[1, 18], [2, 1], [4, 3]], 7/52183852646400],
[[[1, 18], [2, 3], [3, 2]], 44657/117413668454400],
[[[1, 18], [2, 3], [4, 2]], 231023/9393093476352000],
[[[1, 18], [2, 3], [5, 1]], 491/10871635968000],
[[[1, 18], [2, 3], [6, 2]], 91/5283615080448000],
[[[1, 18], [2, 3], [8, 1]], 1/695784701952],
[[[1, 18], [2, 3], [10, 1]], 91/1467670855680000],
[[[1, 18], [2, 5], [3, 1]], 8281/17394617548800],
[[[1, 18], [2, 5], [4, 1]], 1933/8349416423424],
[[[1, 18], [2, 5], [6, 1]], 54799/5283615080448000],
[[[1, 19], [2, 2], [3, 2]], 323/13045963161600],
[[[1, 19], [2, 2], [4, 2]], 1573/3131031158784000],
[[[1, 19], [2, 2], [5, 1]], 1/434865438720],
[[[1, 19], [2, 2], [6, 2]], 1/5283615080448000],
[[[1, 19], [2, 2], [8, 1]], 91/2348273369088000],
[[[1, 19], [2, 2], [10, 1]], 1/1467670855680000],
[[[1, 19], [2, 4], [3, 1]], 2879/52183852646400],
[[[1, 19], [2, 4], [4, 1]], 262691/14089640214528000],
[[[1, 19], [2, 4], [6, 1]], 667/1320903770112000],
[[[1, 19], [3, 1], [4, 2]], 1/39137889484800],
[[[1, 19], [3, 1], [5, 1]], 1/3057647616000],
[[[1, 19], [4, 1], [8, 1]], 1/2348273369088000],
[[[1, 20], [2, 1], [3, 2]], 4471/5283615080448000],
[[[1, 20], [2, 1], [4, 2]], 31/6262062317568000],
[[[1, 20], [2, 1], [5, 1]], 91/1467670855680000],
[[[1, 20], [2, 1], [8, 1]], 1/2348273369088000],
[[[1, 20], [2, 3], [3, 1]], 3617/880602513408000],
[[[1, 20], [2, 3], [4, 1]], 2527/2817928042905600],
[[[1, 20], [2, 3], [6, 1]], 31/2348273369088000],
[[[1, 21], [2, 2], [3, 1]], 109/587068342272000],
[[[1, 21], [2, 2], [4, 1]], 131/5635856085811200],
[[[1, 21], [2, 2], [6, 1]], 1/7044820107264000],
[[[1, 22], [2, 1], [3, 1]], 97/21134460321792000],
[[[1, 22], [2, 1], [4, 1]], 7/28179280429056000],
[[[2, 1], [4, 4], [8, 4]], 13/3145728],
[[[2, 1], [4, 4], [12, 4]], 1/6912],
[[[2, 1], [4, 4], [20, 2]], 1/1600],
[[[2, 1], [4, 6], [12, 3]], 1/18432],
[[[2, 1], [4, 8], [8, 2]], 13/188743680],
[[[2, 1], [4, 8], [12, 2]], 29/5898240],
[[[2, 1], [4, 8], [20, 1]], 13/14745600],
[[[2, 1], [4, 10], [12, 1]], 1/14155776],
[[[2, 1], [8, 2], [16, 2]], 5/4096],
[[[2, 1], [8, 2], [24, 2]], 1/288],
[[[2, 1], [8, 2], [40, 1]], 1/80],
[[[2, 1], [8, 4], [24, 1]], 1/1152],
[[[2, 1], [16, 1], [32, 1]], 1/128],
[[[2, 3], [4, 5], [8, 3]], 1/2097152],
[[[2, 3], [4, 9], [8, 1]], 1/566231040],
[[[2, 3], [4, 10], [6, 1]], 1/424673280],
[[[2, 5], [4, 2], [8, 4]], 1/1048576],
[[[2, 5], [4, 4], [12, 3]], 1/663552],
[[[2, 5], [4, 6], [8, 2]], 73/1509949440],
[[[2, 5], [4, 6], [12, 2]], 1/2359296],
[[[2, 5], [4, 6], [20, 1]], 1/5898240],
[[[2, 5], [4, 8], [6, 2]], 1/106168320],
[[[2, 5], [4, 8], [12, 1]], 1/70778880],
[[[2, 5], [6, 4], [18, 2]], 1/7776],
[[[2, 5], [8, 3], [16, 1]], 1/131072],
[[[2, 7], [4, 3], [8, 3]], 91/1132462080],
[[[2, 7], [4, 7], [8, 1]], 53/18119393280],
[[[2, 7], [4, 8], [6, 1]], 1/1698693120],
[[[2, 7], [6, 3], [18, 2]], 1/31104],
[[[2, 7], [6, 6], [18, 1]], 1/31104],
[[[2, 9], [4, 2], [6, 6]], 101/1433272320],
[[[2, 9], [4, 2], [10, 3]], 1/1536000],
[[[2, 9], [4, 4], [6, 4]], 1/169869312],
[[[2, 9], [4, 4], [8, 2]], 1/503316480],
[[[2, 9], [4, 4], [10, 2]], 1/13107200],
[[[2, 9], [4, 4], [12, 2]], 1/169869312],
[[[2, 9], [4, 4], [20, 1]], 1/47185920],
[[[2, 9], [4, 6], [6, 2]], 1/905969664],
[[[2, 9], [4, 6], [10, 1]], 1/251658240],
[[[2, 9], [4, 6], [12, 1]], 1/679477248],
[[[2, 9], [6, 2], [10, 3]], 1/432000],
[[[2, 9], [6, 2], [18, 2]], 1/4976640],
[[[2, 9], [6, 4], [10, 2]], 1/1036800],
[[[2, 9], [6, 5], [18, 1]], 1/124416],
[[[2, 9], [6, 6], [10, 1]], 101/111974400],
[[[2, 11], [4, 2], [6, 5]], 1/95551488],
[[[2, 11], [4, 4], [6, 3]], 1/339738624],
[[[2, 11], [4, 5], [8, 1]], 1/24159191040],
[[[2, 11], [4, 6], [6, 1]], 1/3623878656],
[[[2, 11], [6, 1], [10, 3]], 1/1728000],
[[[2, 11], [6, 3], [10, 2]], 1/2073600],
[[[2, 11], [6, 4], [18, 1]], 1/19906560],
[[[2, 11], [6, 5], [10, 1]], 1/7464960],
[[[2, 13], [4, 2], [6, 4]], 41/15288238080],
[[[2, 13], [4, 2], [8, 2]], 1/1087163596800],
[[[2, 13], [4, 2], [10, 2]], 1/1179648000],
[[[2, 13], [4, 4], [6, 2]], 7/18119393280],
[[[2, 13], [4, 4], [10, 1]], 1/15099494400],
[[[2, 13], [6, 2], [10, 2]], 7/110592000],
[[[2, 13], [6, 4], [10, 1]], 41/1194393600],
[[[2, 15], [4, 2], [6, 3]], 23/91729428480],
[[[2, 15], [4, 3], [8, 1]], 1/4348654387200],
[[[2, 15], [4, 4], [6, 1]], 1/217432719360],
[[[2, 15], [6, 1], [10, 2]], 1/1327104000],
[[[2, 15], [6, 3], [10, 1]], 23/7166361600],
[[[2, 17], [4, 2], [6, 2]], 41/9784472371200],
[[[2, 17], [4, 2], [10, 1]], 1/2717908992000],
[[[2, 17], [6, 2], [10, 1]], 41/764411904000],
[[[2, 19], [4, 1], [8, 1]], 1/2348273369088000],
[[[2, 19], [4, 2], [6, 1]], 1/39137889484800],
[[[2, 19], [6, 1], [10, 1]], 1/3057647616000],
[[[1, 1], [2, 2], [4, 1], [8, 5]], 1/6144],
[[[1, 1], [2, 2], [4, 3], [8, 4]], 13/786432],
[[[1, 1], [2, 2], [4, 5], [8, 3]], 233/6291456],
[[[1, 1], [2, 2], [4, 5], [12, 3]], 7/18432],
[[[1, 1], [2, 2], [4, 7], [8, 2]], 13/5898240],
[[[1, 1], [2, 2], [4, 7], [12, 2]], 47/589824],
[[[1, 1], [2, 2], [4, 7], [16, 1]], 13/23592960],
[[[1, 1], [2, 2], [4, 7], [20, 1]], 13/491520],
[[[1, 1], [2, 2], [4, 9], [5, 1]], 1/176947200],
[[[1, 1], [2, 2], [4, 9], [8, 1]], 37/113246208],
[[[1, 1], [2, 2], [4, 9], [10, 1]], 1/176947200],
[[[1, 1], [2, 2], [4, 9], [12, 1]], 31/11796480],
[[[1, 1], [2, 2], [4, 10], [6, 1]], 1/424673280],
[[[1, 1], [2, 4], [3, 1], [4, 9]], 1/2548039680],
[[[1, 1], [2, 4], [4, 2], [8, 4]], 5/1048576],
[[[1, 1], [2, 4], [4, 4], [8, 3]], 125/18874368],
[[[1, 1], [2, 4], [4, 4], [12, 3]], 13/663552],
[[[1, 1], [2, 4], [4, 6], [8, 2]], 553/301989888],
[[[1, 1], [2, 4], [4, 6], [12, 2]], 13/2359296],
[[[1, 1], [2, 4], [4, 6], [20, 1]], 13/5898240],
[[[1, 1], [2, 4], [4, 8], [6, 2]], 1/106168320],
[[[1, 1], [2, 4], [4, 8], [8, 1]], 1/12582912],
[[[1, 1], [2, 4], [4, 8], [12, 1]], 13/70778880],
[[[1, 1], [2, 4], [4, 9], [6, 1]], 91/849346560],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/7776],
[[[1, 1], [2, 4], [8, 3], [16, 1]], 5/131072],
[[[1, 1], [2, 6], [4, 1], [8, 4]], 1/524288],
[[[1, 1], [2, 6], [4, 3], [8, 3]], 6421/1132462080],
[[[1, 1], [2, 6], [4, 3], [12, 3]], 1/3317760],
[[[1, 1], [2, 6], [4, 5], [8, 2]], 547/754974720],
[[[1, 1], [2, 6], [4, 5], [12, 2]], 1/327680],
[[[1, 1], [2, 6], [4, 5], [16, 1]], 1/9437184],
[[[1, 1], [2, 6], [4, 5], [20, 1]], 19/7372800],
[[[1, 1], [2, 6], [4, 7], [5, 1]], 1/707788800],
[[[1, 1], [2, 6], [4, 7], [6, 2]], 31/106168320],
[[[1, 1], [2, 6], [4, 7], [8, 1]], 311/3623878656],
[[[1, 1], [2, 6], [4, 7], [10, 1]], 1/707788800],
[[[1, 1], [2, 6], [4, 7], [12, 1]], 227/707788800],
[[[1, 1], [2, 6], [4, 8], [6, 1]], 13/1698693120],
[[[1, 1], [2, 6], [6, 3], [18, 2]], 7/31104],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 1/31104],
[[[1, 1], [2, 8], [3, 1], [4, 7]], 143/81537269760],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 253/33592320],
[[[1, 1], [2, 8], [4, 1], [6, 7]], 101/268738560],
[[[1, 1], [2, 8], [4, 2], [6, 6]], 101/477757440],
[[[1, 1], [2, 8], [4, 2], [8, 3]], 67/377487360],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 1/512000],
[[[1, 1], [2, 8], [4, 3], [6, 5]], 1/15925248],
[[[1, 1], [2, 8], [4, 4], [6, 4]], 5/169869312],
[[[1, 1], [2, 8], [4, 4], [8, 2]], 71/167772160],
[[[1, 1], [2, 8], [4, 4], [10, 2]], 1/2621440],
[[[1, 1], [2, 8], [4, 4], [12, 2]], 25/169869312],
[[[1, 1], [2, 8], [4, 4], [20, 1]], 5/9437184],
[[[1, 1], [2, 8], [4, 5], [6, 3]], 1/56623104],
[[[1, 1], [2, 8], [4, 6], [6, 2]], 7/905969664],
[[[1, 1], [2, 8], [4, 6], [8, 1]], 4583/90596966400],
[[[1, 1], [2, 8], [4, 6], [10, 1]], 7/251658240],
[[[1, 1], [2, 8], [4, 6], [12, 1]], 25/679477248],
[[[1, 1], [2, 8], [4, 7], [6, 1]], 2681/135895449600],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 1/432000],
[[[1, 1], [2, 8], [6, 2], [18, 2]], 31/4976640],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 1/1036800],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 7/124416],
[[[1, 1], [2, 8], [6, 6], [8, 1]], 101/179159040],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 101/111974400],
[[[1, 1], [2, 8], [8, 1], [10, 3]], 1/192000],
[[[1, 1], [2, 8], [8, 2], [16, 1]], 1/7864320],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 31/17915904],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 827/2149908480],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 7/2304000],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 1/10616832],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 11/127401984],
[[[1, 1], [2, 10], [4, 3], [8, 2]], 7/1132462080],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 7/9830400],
[[[1, 1], [2, 10], [4, 3], [12, 2]], 1/424673280],
[[[1, 1], [2, 10], [4, 3], [16, 1]], 1/75497472],
[[[1, 1], [2, 10], [4, 3], [20, 1]], 1/117964800],
[[[1, 1], [2, 10], [4, 4], [6, 3]], 11/339738624],
[[[1, 1], [2, 10], [4, 5], [6, 2]], 1/50331648],
[[[1, 1], [2, 10], [4, 5], [8, 1]], 133/14495514624],
[[[1, 1], [2, 10], [4, 5], [10, 1]], 7/125829120],
[[[1, 1], [2, 10], [4, 5], [12, 1]], 1/106168320],
[[[1, 1], [2, 10], [4, 6], [6, 1]], 13/3623878656],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 7/1728000],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 7/2073600],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 31/19906560],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1/11943936],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 7/7464960],
[[[1, 1], [2, 12], [3, 1], [4, 5]], 1/36238786560],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 191/2866544640],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 181/2866544640],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 211/5096079360],
[[[1, 1], [2, 12], [4, 2], [8, 2]], 61/1087163596800],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 11/393216000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 161/5096079360],
[[[1, 1], [2, 12], [4, 4], [6, 2]], 25/3623878656],
[[[1, 1], [2, 12], [4, 4], [8, 1]], 31/72477573120],
[[[1, 1], [2, 12], [4, 4], [10, 1]], 7/3019898880],
[[[1, 1], [2, 12], [4, 5], [6, 1]], 47/12079595520],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 97/110592000],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 41/1911029760],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 551/1194393600],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 1/147456000],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 23/4299816960],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 953/68797071360],
[[[1, 1], [2, 14], [4, 1], [8, 2]], 1/543581798400],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 7/1769472000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 179/30576476160],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 149/40768634880],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 7/483183820800],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 7/11324620800],
[[[1, 1], [2, 14], [4, 4], [6, 1]], 41/217432719360],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 37/1327104000],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 23/11466178560],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 491/7166361600],
[[[1, 1], [2, 16], [3, 1], [4, 3]], 1/6522981580800],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 41/458647142400],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 6563/5503765708800],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 23/120795955200],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 17/13045963161600],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 7/301989888000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 281/6522981580800],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 41/1223059046400],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 1781/764411904000],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 1/339738624000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 1/1834588569600],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 289/14676708556800],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 91/2348273369088000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 7/4076863488000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 23/13045963161600],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 1/4892236185600],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 67/3057647616000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/3522410053632000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/880602513408000],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 421/3522410053632000],
[[[1, 1], [4, 2], [8, 3], [16, 1]], 1/16384],
[[[1, 1], [4, 4], [8, 2], [12, 2]], 1/18432],
[[[1, 1], [4, 4], [8, 2], [20, 1]], 1/10240],
[[[1, 1], [4, 4], [12, 2], [20, 1]], 1/1440],
[[[1, 1], [4, 6], [8, 1], [16, 1]], 13/23592960],
[[[1, 1], [4, 6], [8, 2], [12, 1]], 5/589824],
[[[1, 1], [4, 6], [12, 1], [20, 1]], 1/9216],
[[[1, 2], [2, 1], [3, 1], [4, 10]], 1/424673280],
[[[1, 2], [2, 1], [4, 1], [8, 5]], 1/6144],
[[[1, 2], [2, 1], [4, 3], [8, 4]], 13/786432],
[[[1, 2], [2, 1], [4, 5], [8, 3]], 233/6291456],
[[[1, 2], [2, 1], [4, 5], [12, 3]], 7/18432],
[[[1, 2], [2, 1], [4, 7], [8, 2]], 13/5898240],
[[[1, 2], [2, 1], [4, 7], [12, 2]], 47/589824],
[[[1, 2], [2, 1], [4, 7], [16, 1]], 13/23592960],
[[[1, 2], [2, 1], [4, 7], [20, 1]], 13/491520],
[[[1, 2], [2, 1], [4, 9], [5, 1]], 1/176947200],
[[[1, 2], [2, 1], [4, 9], [8, 1]], 37/113246208],
[[[1, 2], [2, 1], [4, 9], [10, 1]], 1/176947200],
[[[1, 2], [2, 1], [4, 9], [12, 1]], 31/11796480],
[[[1, 2], [2, 3], [3, 1], [4, 9]], 7/2548039680],
[[[1, 2], [2, 3], [4, 2], [8, 4]], 859/786432],
[[[1, 2], [2, 3], [4, 2], [16, 2]], 5/4096],
[[[1, 2], [2, 3], [4, 4], [8, 3]], 3455/18874368],
[[[1, 2], [2, 3], [4, 4], [12, 3]], 29/110592],
[[[1, 2], [2, 3], [4, 6], [5, 2]], 1/18432000],
[[[1, 2], [2, 3], [4, 6], [8, 2]], 81037/754974720],
[[[1, 2], [2, 3], [4, 6], [10, 2]], 1/18432000],
[[[1, 2], [2, 3], [4, 6], [12, 2]], 7/18432],
[[[1, 2], [2, 3], [4, 6], [16, 1]], 13/786432],
[[[1, 2], [2, 3], [4, 6], [20, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 8], [5, 1]], 1/3932160],
[[[1, 2], [2, 3], [4, 8], [8, 1]], 2021/188743680],
[[[1, 2], [2, 3], [4, 8], [10, 1]], 1/3932160],
[[[1, 2], [2, 3], [4, 8], [12, 1]], 61/1966080],
[[[1, 2], [2, 3], [4, 9], [6, 1]], 31/283115520],
[[[1, 2], [2, 3], [8, 3], [16, 1]], 9/65536],
[[[1, 2], [2, 5], [3, 1], [4, 8]], 31/1698693120],
[[[1, 2], [2, 5], [4, 1], [8, 4]], 5/524288],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 1091/25165824],
[[[1, 2], [2, 5], [4, 3], [12, 3]], 7/1105920],
[[[1, 2], [2, 5], [4, 5], [8, 2]], 23927/754974720],
[[[1, 2], [2, 5], [4, 5], [12, 2]], 119/2949120],
[[[1, 2], [2, 5], [4, 5], [16, 1]], 13/9437184],
[[[1, 2], [2, 5], [4, 5], [20, 1]], 83/2457600],
[[[1, 2], [2, 5], [4, 7], [5, 1]], 13/707788800],
[[[1, 2], [2, 5], [4, 7], [6, 2]], 11/35389440],
[[[1, 2], [2, 5], [4, 7], [8, 1]], 7397/3623878656],
[[[1, 2], [2, 5], [4, 7], [10, 1]], 13/707788800],
[[[1, 2], [2, 5], [4, 7], [12, 1]], 989/235929600],
[[[1, 2], [2, 5], [4, 8], [6, 1]], 229/141557760],
[[[1, 2], [2, 5], [6, 3], [18, 2]], 1/3456],
[[[1, 2], [2, 7], [3, 1], [4, 7]], 1097/81537269760],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 253/33592320],
[[[1, 2], [2, 7], [3, 2], [4, 6]], 1787/122305904640],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 7889/100776960],
[[[1, 2], [2, 7], [3, 2], [9, 2]], 1/4976640],
[[[1, 2], [2, 7], [3, 2], [10, 3]], 1/432000],
[[[1, 2], [2, 7], [4, 1], [6, 7]], 101/268738560],
[[[1, 2], [2, 7], [4, 2], [6, 6]], 181/477757440],
[[[1, 2], [2, 7], [4, 2], [8, 3]], 5389/377487360],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/512000],
[[[1, 2], [2, 7], [4, 3], [6, 5]], 1/5308416],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 13/84934656],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 4469/503316480],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 1/1310720],
[[[1, 2], [2, 7], [4, 4], [12, 2]], 247/70778880],
[[[1, 2], [2, 7], [4, 4], [16, 1]], 19/11796480],
[[[1, 2], [2, 7], [4, 4], [20, 1]], 9/1310720],
[[[1, 2], [2, 7], [4, 5], [6, 3]], 5/56623104],
[[[1, 2], [2, 7], [4, 6], [5, 1]], 2641/56623104000],
[[[1, 2], [2, 7], [4, 6], [6, 2]], 29327/13589544960],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 143129/90596966400],
[[[1, 2], [2, 7], [4, 6], [10, 1]], 7141/56623104000],
[[[1, 2], [2, 7], [4, 6], [12, 1]], 583/283115520],
[[[1, 2], [2, 7], [4, 7], [6, 1]], 11237/45298483200],
[[[1, 2], [2, 7], [5, 1], [6, 6]], 101/111974400],
[[[1, 2], [2, 7], [5, 1], [10, 3]], 1/120000],
[[[1, 2], [2, 7], [6, 2], [18, 2]], 5/110592],
[[[1, 2], [2, 7], [6, 4], [8, 2]], 1/2654208],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 1/13824],
[[[1, 2], [2, 7], [6, 6], [8, 1]], 101/179159040],
[[[1, 2], [2, 7], [8, 1], [10, 3]], 1/192000],
[[[1, 2], [2, 7], [8, 2], [10, 2]], 1/204800],
[[[1, 2], [2, 7], [8, 2], [16, 1]], 23/7864320],
[[[1, 2], [2, 9], [3, 1], [4, 6]], 21991/815372697600],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 6611/537477120],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/576000],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 1201/107495424],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 673/429981696],
[[[1, 2], [2, 9], [4, 1], [8, 3]], 43/377487360],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 1/92160],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 5/7962624],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 25/42467328],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 683/566231040],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 13/3276800],
[[[1, 2], [2, 9], [4, 3], [12, 2]], 11/141557760],
[[[1, 2], [2, 9], [4, 3], [16, 1]], 25/75497472],
[[[1, 2], [2, 9], [4, 3], [20, 1]], 11/39321600],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 107/339738624],
[[[1, 2], [2, 9], [4, 5], [6, 2]], 25/150994944],
[[[1, 2], [2, 9], [4, 5], [8, 1]], 35777/72477573120],
[[[1, 2], [2, 9], [4, 5], [10, 1]], 53/125829120],
[[[1, 2], [2, 9], [4, 5], [12, 1]], 17/70778880],
[[[1, 2], [2, 9], [4, 6], [6, 1]], 22913/135895449600],
[[[1, 2], [2, 9], [5, 1], [6, 5]], 1/7464960],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 1/192000],
[[[1, 2], [2, 9], [6, 3], [8, 2]], 1/5308416],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 1/230400],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 5/442368],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 7/11943936],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 1/829440],
[[[1, 2], [2, 11], [3, 1], [4, 5]], 7/7247757312],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 3121/2866544640],
[[[1, 2], [2, 11], [3, 2], [4, 4]], 1/6039797760],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 4241/17199267840],
[[[1, 2], [2, 11], [3, 2], [10, 2]], 1/331776000],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 1891/2866544640],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 329/637009920],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 1397/181193932800],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 281/147456000],
[[[1, 2], [2, 11], [4, 2], [12, 2]], 1/4246732800],
[[[1, 2], [2, 11], [4, 2], [16, 1]], 1/188743680],
[[[1, 2], [2, 11], [4, 2], [20, 1]], 1/1179648000],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 217/566231040],
[[[1, 2], [2, 11], [4, 4], [5, 1]], 1/15099494400],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 2921/18119393280],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 553/14495514624],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 19/67108864],
[[[1, 2], [2, 11], [4, 4], [12, 1]], 17/2123366400],
[[[1, 2], [2, 11], [4, 5], [6, 1]], 43/805306368],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 41/1194393600],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 1/92160000],
[[[1, 2], [2, 11], [6, 2], [8, 2]], 7/283115520],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 29/7372800],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 551/1911029760],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 53/26542080],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 31/147456000],
[[[1, 2], [2, 11], [8, 1], [16, 1]], 1/1887436800],
[[[1, 2], [2, 11], [8, 2], [10, 1]], 1/235929600],
[[[1, 2], [2, 13], [3, 1], [4, 4]], 59/217432719360],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 2087/17199267840],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 1/442368000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 77/25798901760],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 15749/68797071360],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 61/543581798400],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 47/353894400],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 4201/30576476160],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 929/13589544960],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 7073/4348654387200],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 83/3774873600],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 71/3397386240],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 23/7166361600],
[[[1, 2], [2, 13], [6, 1], [8, 2]], 1/3397386240],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 23/73728000],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 491/11466178560],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 73/132710400],
[[[1, 2], [2, 15], [3, 1], [4, 3]], 7/724775731200],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 6263/1375941427200],
[[[1, 2], [2, 15], [3, 2], [4, 2]], 1/1956894474240],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 59/2751882854400],
[[[1, 2], [2, 15], [3, 2], [10, 1]], 1/764411904000],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 159383/5503765708800],
[[[1, 2], [2, 15], [4, 2], [5, 1]], 1/2717908992000],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 38359/3261490790400],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 1079/13045963161600],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 5393/2717908992000],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 3901/2174327193600],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 41/764411904000],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 1/212336640000],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 1781/1223059046400],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 299/8493465600],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 61/339738624000],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 31/39137889484800],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 7/146767085568],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 1/1019215872000],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 1/11007531417600],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 13339/14676708556800],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 131/52183852646400],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 89/815372697600],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 967/6522981580800],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 1/3057647616000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 67/4892236185600],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 191/339738624000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 91/3522410053632000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 151/880602513408000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 29311/3522410053632000],
[[[1, 3], [2, 2], [3, 1], [4, 9]], 31/283115520],
[[[1, 3], [2, 2], [4, 2], [8, 4]], 859/786432],
[[[1, 3], [2, 2], [4, 2], [16, 2]], 5/4096],
[[[1, 3], [2, 2], [4, 4], [8, 3]], 3455/18874368],
[[[1, 3], [2, 2], [4, 4], [12, 3]], 29/110592],
[[[1, 3], [2, 2], [4, 6], [5, 2]], 1/18432000],
[[[1, 3], [2, 2], [4, 6], [8, 2]], 81037/754974720],
[[[1, 3], [2, 2], [4, 6], [10, 2]], 1/18432000],
[[[1, 3], [2, 2], [4, 6], [12, 2]], 7/18432],
[[[1, 3], [2, 2], [4, 6], [16, 1]], 13/786432],
[[[1, 3], [2, 2], [4, 6], [20, 1]], 1/5120],
[[[1, 3], [2, 2], [4, 8], [5, 1]], 1/3932160],
[[[1, 3], [2, 2], [4, 8], [8, 1]], 2021/188743680],
[[[1, 3], [2, 2], [4, 8], [10, 1]], 1/3932160],
[[[1, 3], [2, 2], [4, 8], [12, 1]], 61/1966080],
[[[1, 3], [2, 2], [4, 9], [6, 1]], 7/2548039680],
[[[1, 3], [2, 2], [8, 3], [16, 1]], 9/65536],
[[[1, 3], [2, 4], [3, 1], [4, 8]], 223/1698693120],
[[[1, 3], [2, 4], [3, 2], [4, 7]], 1/318504960],
[[[1, 3], [2, 4], [4, 1], [8, 4]], 7/196608],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 16655/8388608],
[[[1, 3], [2, 4], [4, 3], [12, 3]], 25/995328],
[[[1, 3], [2, 4], [4, 5], [5, 2]], 1/614400],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 129533/226492416],
[[[1, 3], [2, 4], [4, 5], [10, 2]], 1/614400],
[[[1, 3], [2, 4], [4, 5], [12, 2]], 149/294912],
[[[1, 3], [2, 4], [4, 5], [16, 1]], 1/8192],
[[[1, 3], [2, 4], [4, 5], [20, 1]], 161/442368],
[[[1, 3], [2, 4], [4, 7], [5, 1]], 443/117964800],
[[[1, 3], [2, 4], [4, 7], [6, 2]], 7/318504960],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 120721/1207959552],
[[[1, 3], [2, 4], [4, 7], [10, 1]], 443/117964800],
[[[1, 3], [2, 4], [4, 7], [12, 1]], 6289/42467328],
[[[1, 3], [2, 4], [4, 8], [6, 1]], 61/35389440],
[[[1, 3], [2, 4], [6, 3], [18, 2]], 1/10368],
[[[1, 3], [2, 6], [3, 1], [4, 7]], 43661/135895449600],
[[[1, 3], [2, 6], [3, 2], [4, 6]], 9461/122305904640],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 7889/100776960],
[[[1, 3], [2, 6], [3, 2], [9, 2]], 31/4976640],
[[[1, 3], [2, 6], [3, 2], [10, 3]], 1/432000],
[[[1, 3], [2, 6], [3, 3], [4, 5]], 11/169869312],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 701/2239488],
[[[1, 3], [2, 6], [4, 2], [6, 6]], 341/1433272320],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 31583/377487360],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 1/1536000],
[[[1, 3], [2, 6], [4, 3], [6, 5]], 17/47775744],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 29/84934656],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 180851/1509949440],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 1/1310720],
[[[1, 3], [2, 6], [4, 4], [12, 2]], 2707/70778880],
[[[1, 3], [2, 6], [4, 4], [16, 1]], 83/3932160],
[[[1, 3], [2, 6], [4, 4], [20, 1]], 199/3932160],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 19/84934656],
[[[1, 3], [2, 6], [4, 6], [5, 1]], 3679/6291456000],
[[[1, 3], [2, 6], [4, 6], [6, 2]], 7613/2717908992],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 6076817/271790899200],
[[[1, 3], [2, 6], [4, 6], [10, 1]], 4379/6291456000],
[[[1, 3], [2, 6], [4, 6], [12, 1]], 6883/283115520],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 799579/81537269760],
[[[1, 3], [2, 6], [5, 1], [6, 6]], 101/111974400],
[[[1, 3], [2, 6], [5, 1], [8, 3]], 1/163840],
[[[1, 3], [2, 6], [5, 1], [10, 3]], 1/120000],
[[[1, 3], [2, 6], [6, 2], [8, 3]], 1/1769472],
[[[1, 3], [2, 6], [6, 2], [18, 2]], 11/110592],
[[[1, 3], [2, 6], [6, 4], [8, 2]], 1/2654208],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 1/41472],
[[[1, 3], [2, 6], [8, 2], [10, 2]], 1/204800],
[[[1, 3], [2, 6], [8, 2], [16, 1]], 379/23592960],
[[[1, 3], [2, 6], [8, 3], [10, 1]], 1/122880],
[[[1, 3], [2, 8], [3, 1], [4, 6]], 65069/271790899200],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 2891/179159040],
[[[1, 3], [2, 8], [3, 1], [8, 3]], 1/2359296],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 1/192000],
[[[1, 3], [2, 8], [3, 2], [4, 5]], 653/4076863488],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 8965/107495424],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 163/8957952],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 721/429981696],
[[[1, 3], [2, 8], [4, 1], [8, 3]], 2437/377487360],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 1/92160],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 23/11943936],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 359/191102976],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 6053/283115520],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 41/4915200],
[[[1, 3], [2, 8], [4, 3], [12, 2]], 373/318504960],
[[[1, 3], [2, 8], [4, 3], [16, 1]], 9/2097152],
[[[1, 3], [2, 8], [4, 3], [20, 1]], 301/88473600],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 469/339738624],
[[[1, 3], [2, 8], [4, 5], [5, 1]], 641/1887436800],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 2453/452984832],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 115727/14495514624],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 3041/1887436800],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 5647/1274019840],
[[[1, 3], [2, 8], [4, 6], [6, 1]], 261739/135895449600],
[[[1, 3], [2, 8], [5, 1], [6, 5]], 7/7464960],
[[[1, 3], [2, 8], [6, 1], [8, 3]], 5/3538944],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1/576000],
[[[1, 3], [2, 8], [6, 3], [8, 2]], 7/5308416],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 1/691200],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 11/442368],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 1/1327104],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 1/2488320],
[[[1, 3], [2, 10], [3, 1], [4, 5]], 16229/108716359680],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 121/21233664],
[[[1, 3], [2, 10], [3, 2], [4, 4]], 299/54358179840],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 82511/17199267840],
[[[1, 3], [2, 10], [3, 2], [10, 2]], 31/331776000],
[[[1, 3], [2, 10], [3, 3], [4, 3]], 7/15288238080],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 1/5898240],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 1261/573308928],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 5593/1911029760],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 140717/181193932800],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 1627/147456000],
[[[1, 3], [2, 10], [4, 2], [12, 2]], 41/4246732800],
[[[1, 3], [2, 10], [4, 2], [16, 1]], 11/62914560],
[[[1, 3], [2, 10], [4, 2], [20, 1]], 41/1179648000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 8377/3822059520],
[[[1, 3], [2, 10], [4, 4], [5, 1]], 7/3019898880],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 22403/18119393280],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 287479/217432719360],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 6701/3019898880],
[[[1, 3], [2, 10], [4, 4], [12, 1]], 487/2123366400],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 23771/36238786560],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 551/1194393600],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 31/92160000],
[[[1, 3], [2, 10], [6, 2], [8, 2]], 97/283115520],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 137/22118400],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 53/42467328],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 241/79626240],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 1/655360],
[[[1, 3], [2, 10], [8, 1], [16, 1]], 41/1887436800],
[[[1, 3], [2, 10], [8, 2], [10, 1]], 31/235929600],
[[[1, 3], [2, 12], [3, 1], [4, 4]], 701/72477573120],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 1963/1911029760],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 11/147456000],
[[[1, 3], [2, 12], [3, 2], [4, 3]], 41/40768634880],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 3623/25798901760],
[[[1, 3], [2, 12], [3, 3], [6, 2]], 1/1433272320],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 8039/5733089280],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 437/90596966400],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 107/88473600],
[[[1, 3], [2, 12], [4, 1], [16, 1]], 1/1887436800],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 123833/91729428480],
[[[1, 3], [2, 12], [4, 3], [5, 1]], 7/11324620800],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 86989/122305904640],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 19153/289910292480],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 21571/33973862400],
[[[1, 3], [2, 12], [4, 3], [12, 1]], 1/471859200],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 15313/54358179840],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 491/7166361600],
[[[1, 3], [2, 12], [6, 1], [8, 2]], 37/3397386240],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 323/221184000],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 73/212336640],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 271/132710400],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 6233/6522981580800],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 3407/45864714240],
[[[1, 3], [2, 14], [3, 2], [4, 2]], 307/9784472371200],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 4319/2751882854400],
[[[1, 3], [2, 14], [3, 2], [8, 1]], 1/1223059046400],
[[[1, 3], [2, 14], [3, 2], [10, 1]], 61/764411904000],
[[[1, 3], [2, 14], [3, 3], [4, 1]], 1/1834588569600],
[[[1, 3], [2, 14], [3, 3], [6, 1]], 1/458647142400],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 30889/110075314176],
[[[1, 3], [2, 14], [4, 2], [5, 1]], 7/301989888000],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 76139/391378894848],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 37289/13045963161600],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 1951/33554432000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 1060819/19568944742400],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 1781/764411904000],
[[[1, 3], [2, 14], [5, 1], [8, 1]], 1/339738624000],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 61/212336640000],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 299/13589544960],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 6497/25480396800],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 1/251658240],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 79/1565515579392],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 589/407686348800],
[[[1, 3], [2, 16], [3, 1], [8, 1]], 1/1630745395200],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 7/113246208000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 13/14676708556800],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 17/2201506283520],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 7/4076863488000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 224153/14676708556800],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 5033/52183852646400],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 2111/815372697600],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 96179/19568944742400],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 67/3057647616000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 191/543581798400],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 7291/1019215872000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 103/78275778969600],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 167/19568944742400],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 53209/234827336908800],
[[[1, 3], [3, 1], [4, 4], [12, 3]], 1/20736],
[[[1, 3], [3, 1], [4, 6], [8, 2]], 1/2359296],
[[[1, 3], [3, 1], [4, 6], [12, 2]], 1/73728],
[[[1, 3], [3, 1], [4, 6], [20, 1]], 1/184320],
[[[1, 3], [3, 1], [4, 8], [12, 1]], 1/2211840],
[[[1, 3], [3, 2], [4, 3], [8, 3]], 1/1769472],
[[[1, 3], [4, 3], [5, 1], [8, 3]], 1/491520],
[[[1, 3], [4, 3], [8, 1], [12, 3]], 1/27648],
[[[1, 3], [4, 3], [8, 2], [16, 1]], 1/393216],
[[[1, 3], [4, 3], [8, 3], [12, 1]], 1/98304],
[[[1, 3], [4, 5], [8, 1], [12, 2]], 1/98304],
[[[1, 3], [4, 5], [8, 1], [20, 1]], 1/245760],
[[[1, 3], [4, 7], [8, 1], [12, 1]], 1/2949120],
[[[1, 4], [2, 1], [3, 1], [4, 9]], 91/849346560],
[[[1, 4], [2, 1], [3, 2], [4, 8]], 1/106168320],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/7776],
[[[1, 4], [2, 1], [4, 2], [8, 4]], 5/1048576],
[[[1, 4], [2, 1], [4, 4], [8, 3]], 125/18874368],
[[[1, 4], [2, 1], [4, 4], [12, 3]], 13/663552],
[[[1, 4], [2, 1], [4, 6], [8, 2]], 553/301989888],
[[[1, 4], [2, 1], [4, 6], [12, 2]], 13/2359296],
[[[1, 4], [2, 1], [4, 6], [20, 1]], 13/5898240],
[[[1, 4], [2, 1], [4, 8], [8, 1]], 1/12582912],
[[[1, 4], [2, 1], [4, 8], [12, 1]], 13/70778880],
[[[1, 4], [2, 1], [4, 9], [6, 1]], 1/2548039680],
[[[1, 4], [2, 1], [8, 3], [16, 1]], 5/131072],
[[[1, 4], [2, 3], [3, 1], [4, 8]], 61/35389440],
[[[1, 4], [2, 3], [3, 2], [4, 7]], 7/318504960],
[[[1, 4], [2, 3], [3, 3], [9, 2]], 1/10368],
[[[1, 4], [2, 3], [4, 1], [8, 4]], 7/196608],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 16655/8388608],
[[[1, 4], [2, 3], [4, 3], [12, 3]], 25/995328],
[[[1, 4], [2, 3], [4, 5], [5, 2]], 1/614400],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 129533/226492416],
[[[1, 4], [2, 3], [4, 5], [10, 2]], 1/614400],
[[[1, 4], [2, 3], [4, 5], [12, 2]], 149/294912],
[[[1, 4], [2, 3], [4, 5], [16, 1]], 1/8192],
[[[1, 4], [2, 3], [4, 5], [20, 1]], 161/442368],
[[[1, 4], [2, 3], [4, 7], [5, 1]], 443/117964800],
[[[1, 4], [2, 3], [4, 7], [6, 2]], 1/318504960],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 120721/1207959552],
[[[1, 4], [2, 3], [4, 7], [10, 1]], 443/117964800],
[[[1, 4], [2, 3], [4, 7], [12, 1]], 6289/42467328],
[[[1, 4], [2, 3], [4, 8], [6, 1]], 223/1698693120],
[[[1, 4], [2, 5], [3, 1], [4, 7]], 288011/135895449600],
[[[1, 4], [2, 5], [3, 2], [4, 6]], 3587/13589544960],
[[[1, 4], [2, 5], [3, 2], [9, 2]], 5/110592],
[[[1, 4], [2, 5], [3, 3], [4, 5]], 13/56623104],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 701/2239488],
[[[1, 4], [2, 5], [3, 4], [4, 4]], 83/509607936],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 3497/6718464],
[[[1, 4], [2, 5], [3, 4], [10, 2]], 1/1036800],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 43387/125829120],
[[[1, 4], [2, 5], [4, 3], [6, 5]], 11/47775744],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 419/39321600],
[[[1, 4], [2, 5], [4, 4], [6, 4]], 191/509607936],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 489637/226492416],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 431/39321600],
[[[1, 4], [2, 5], [4, 4], [12, 2]], 22111/84934656],
[[[1, 4], [2, 5], [4, 4], [16, 1]], 805/3538944],
[[[1, 4], [2, 5], [4, 4], [20, 1]], 6623/23592960],
[[[1, 4], [2, 5], [4, 5], [6, 3]], 1/3145728],
[[[1, 4], [2, 5], [4, 6], [5, 1]], 147031/6794772480],
[[[1, 4], [2, 5], [4, 6], [6, 2]], 34687/40768634880],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 94399279/271790899200],
[[[1, 4], [2, 5], [4, 6], [10, 1]], 147409/6794772480],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 99559/339738624],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 185705/16307453952],
[[[1, 4], [2, 5], [5, 1], [8, 3]], 3/163840],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 1/8000],
[[[1, 4], [2, 5], [5, 2], [6, 4]], 1/1036800],
[[[1, 4], [2, 5], [5, 2], [8, 2]], 1/102400],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 71/80000],
[[[1, 4], [2, 5], [5, 3], [10, 1]], 1/8000],
[[[1, 4], [2, 5], [6, 2], [8, 3]], 1/1769472],
[[[1, 4], [2, 5], [6, 2], [18, 2]], 11/110592],
[[[1, 4], [2, 5], [8, 2], [10, 2]], 1/102400],
[[[1, 4], [2, 5], [8, 2], [16, 1]], 271/7864320],
[[[1, 4], [2, 5], [8, 3], [10, 1]], 1/49152],
[[[1, 4], [2, 7], [3, 1], [4, 6]], 2982341/1223059046400],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 9077/1612431360],
[[[1, 4], [2, 7], [3, 1], [8, 3]], 1/262144],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 7/1728000],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 4079/4076863488],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 1387/11943936],
[[[1, 4], [2, 7], [3, 3], [4, 4]], 473/1019215872],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 6053/35831808],
[[[1, 4], [2, 7], [3, 3], [10, 2]], 1/691200],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 1489/107495424],
[[[1, 4], [2, 7], [3, 4], [9, 1]], 1/19906560],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 1067/2149908480],
[[[1, 4], [2, 7], [4, 1], [8, 3]], 13571/377487360],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 7/2304000],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 187/95551488],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 647/191102976],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 30911/188743680],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 41/4915200],
[[[1, 4], [2, 7], [4, 3], [12, 2]], 3373/318504960],
[[[1, 4], [2, 7], [4, 3], [16, 1]], 199/6291456],
[[[1, 4], [2, 7], [4, 3], [20, 1]], 1861/88473600],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 3053/1019215872],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 7891/1887436800],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 4703/452984832],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 536069/7247757312],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 11371/1887436800],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 51847/1274019840],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 2616079/101921587200],
[[[1, 4], [2, 7], [5, 1], [6, 5]], 1/829440],
[[[1, 4], [2, 7], [5, 2], [6, 3]], 1/2073600],
[[[1, 4], [2, 7], [6, 1], [8, 3]], 13/1769472],
[[[1, 4], [2, 7], [6, 3], [8, 2]], 1/589824],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 11/442368],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 1/3981312],
[[[1, 4], [2, 9], [3, 1], [4, 5]], 153823/108716359680],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 17815/1719926784],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 95797/163074539520],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 3799/127401984],
[[[1, 4], [2, 9], [3, 2], [8, 2]], 41/849346560],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 1/819200],
[[[1, 4], [2, 9], [3, 3], [4, 3]], 223/15288238080],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 9197/1433272320],
[[[1, 4], [2, 9], [3, 4], [4, 2]], 1/1698693120],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 1387/5733089280],
[[[1, 4], [2, 9], [3, 4], [10, 1]], 1/1194393600],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1651/573308928],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 1/1179648000],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 11203/1528823808],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 334391/24159191040],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 2867/117964800],
[[[1, 4], [2, 9], [4, 2], [12, 2]], 17/127401984],
[[[1, 4], [2, 9], [4, 2], [16, 1]], 301/141557760],
[[[1, 4], [2, 9], [4, 2], [20, 1]], 17/35389440],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 27163/3822059520],
[[[1, 4], [2, 9], [4, 4], [5, 1]], 11507/15099494400],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 264427/27179089920],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 73745/4831838208],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 58591/7549747200],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 1109/318504960],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 195769/36238786560],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 53/26542080],
[[[1, 4], [2, 9], [5, 1], [8, 2]], 13/235929600],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 19/6144000],
[[[1, 4], [2, 9], [5, 2], [6, 2]], 7/110592000],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 61/92160000],
[[[1, 4], [2, 9], [6, 2], [8, 2]], 37/18874368],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 31/7372800],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 241/127401984],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 17/8847360],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 11/3276800],
[[[1, 4], [2, 9], [8, 1], [16, 1]], 17/56623104],
[[[1, 4], [2, 9], [8, 2], [10, 1]], 79/78643200],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 58343/163074539520],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 34519/8599633920],
[[[1, 4], [2, 11], [3, 1], [8, 2]], 1/226492416],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 431/663552000],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 1399/40768634880],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 53/29859840],
[[[1, 4], [2, 11], [3, 3], [4, 2]], 43/30576476160],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 149/2866544640],
[[[1, 4], [2, 11], [3, 3], [10, 1]], 1/796262400],
[[[1, 4], [2, 11], [3, 4], [6, 1]], 1/17199267840],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 22901/5733089280],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 16157/90596966400],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 1933/442368000],
[[[1, 4], [2, 11], [4, 1], [16, 1]], 41/1887436800],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 92263/15288238080],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 83/3774873600],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 496099/122305904640],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 1962943/1449551462400],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 156301/33973862400],
[[[1, 4], [2, 11], [4, 3], [12, 1]], 103/1415577600],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 1306991/652298158080],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 73/132710400],
[[[1, 4], [2, 11], [5, 2], [6, 1]], 1/1327104000],
[[[1, 4], [2, 11], [6, 1], [8, 2]], 5/37748736],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 23/7372800],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 271/212336640],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 63197/2174327193600],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 234599/412782428160],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 17873/9784472371200],
[[[1, 4], [2, 13], [3, 2], [5, 1]], 1/764411904000],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 6421/152882380800],
[[[1, 4], [2, 13], [3, 2], [8, 1]], 61/1223059046400],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 19/8493465600],
[[[1, 4], [2, 13], [3, 3], [4, 1]], 61/1834588569600],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 101/458647142400],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 765797/550376570880],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 5393/2717908992000],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 2801017/1956894474240],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 152899/2609192632320],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 327593/543581798400],
[[[1, 4], [2, 13], [4, 2], [12, 1]], 1/5662310400],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 11992813/19568944742400],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 299/8493465600],
[[[1, 4], [2, 13], [5, 1], [8, 1]], 61/339738624000],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 17/2359296000],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 6497/40768634880],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 5549/5662310400],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 151/3774873600],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 29389/19568944742400],
[[[1, 4], [2, 15], [3, 1], [5, 1]], 1/1019215872000],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 44539/2201506283520],
[[[1, 4], [2, 15], [3, 1], [8, 1]], 7/181193932800],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 4417/3057647616000],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 823/14676708556800],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 119/407686348800],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 89/815372697600],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 1904963/14676708556800],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 12661/6522981580800],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 119857/4076863488000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 52891/782757789696],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 191/339738624000],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 7291/1630745395200],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 127/2516582400],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 1103/26091926323200],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 35497/176120502681600],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 742507/234827336908800],
[[[1, 5], [2, 2], [3, 1], [4, 8]], 229/141557760],
[[[1, 5], [2, 2], [3, 2], [4, 7]], 11/35389440],
[[[1, 5], [2, 2], [3, 3], [9, 2]], 1/3456],
[[[1, 5], [2, 2], [4, 1], [8, 4]], 5/524288],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 1091/25165824],
[[[1, 5], [2, 2], [4, 3], [12, 3]], 7/1105920],
[[[1, 5], [2, 2], [4, 5], [8, 2]], 23927/754974720],
[[[1, 5], [2, 2], [4, 5], [12, 2]], 119/2949120],
[[[1, 5], [2, 2], [4, 5], [16, 1]], 13/9437184],
[[[1, 5], [2, 2], [4, 5], [20, 1]], 83/2457600],
[[[1, 5], [2, 2], [4, 7], [5, 1]], 13/707788800],
[[[1, 5], [2, 2], [4, 7], [8, 1]], 7397/3623878656],
[[[1, 5], [2, 2], [4, 7], [10, 1]], 13/707788800],
[[[1, 5], [2, 2], [4, 7], [12, 1]], 989/235929600],
[[[1, 5], [2, 2], [4, 8], [6, 1]], 31/1698693120],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 185705/16307453952],
[[[1, 5], [2, 4], [3, 2], [4, 6]], 34687/40768634880],
[[[1, 5], [2, 4], [3, 2], [8, 3]], 1/1769472],
[[[1, 5], [2, 4], [3, 2], [9, 2]], 11/110592],
[[[1, 5], [2, 4], [3, 3], [4, 5]], 1/3145728],
[[[1, 5], [2, 4], [3, 4], [4, 4]], 191/509607936],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 3497/6718464],
[[[1, 5], [2, 4], [3, 4], [10, 2]], 1/1036800],
[[[1, 5], [2, 4], [3, 5], [4, 3]], 11/47775744],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 701/2239488],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 43387/125829120],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 431/39321600],
[[[1, 5], [2, 4], [4, 4], [6, 4]], 83/509607936],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 489637/226492416],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 419/39321600],
[[[1, 5], [2, 4], [4, 4], [12, 2]], 22111/84934656],
[[[1, 5], [2, 4], [4, 4], [16, 1]], 805/3538944],
[[[1, 5], [2, 4], [4, 4], [20, 1]], 6623/23592960],
[[[1, 5], [2, 4], [4, 5], [6, 3]], 13/56623104],
[[[1, 5], [2, 4], [4, 6], [5, 1]], 147409/6794772480],
[[[1, 5], [2, 4], [4, 6], [6, 2]], 3587/13589544960],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 94399279/271790899200],
[[[1, 5], [2, 4], [4, 6], [10, 1]], 147031/6794772480],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 99559/339738624],
[[[1, 5], [2, 4], [4, 7], [6, 1]], 288011/135895449600],
[[[1, 5], [2, 4], [5, 1], [8, 3]], 1/49152],
[[[1, 5], [2, 4], [5, 1], [10, 3]], 1/8000],
[[[1, 5], [2, 4], [5, 2], [6, 4]], 1/1036800],
[[[1, 5], [2, 4], [5, 2], [8, 2]], 1/102400],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 71/80000],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 1/8000],
[[[1, 5], [2, 4], [6, 2], [18, 2]], 5/110592],
[[[1, 5], [2, 4], [8, 2], [10, 2]], 1/102400],
[[[1, 5], [2, 4], [8, 2], [16, 1]], 271/7864320],
[[[1, 5], [2, 4], [8, 3], [10, 1]], 3/163840],
[[[1, 5], [2, 6], [3, 1], [4, 6]], 16108007/1223059046400],
[[[1, 5], [2, 6], [3, 1], [6, 6]], 101/1612431360],
[[[1, 5], [2, 6], [3, 1], [8, 3]], 25/2359296],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 1/1728000],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 4243/1358954496],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 545/11943936],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 2159/1019215872],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 3445/11943936],
[[[1, 5], [2, 6], [3, 3], [10, 2]], 1/230400],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 91/127401984],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 16291/107495424],
[[[1, 5], [2, 6], [3, 4], [9, 1]], 31/19906560],
[[[1, 5], [2, 6], [3, 5], [6, 2]], 31/17915904],
[[[1, 5], [2, 6], [4, 1], [8, 3]], 42397/377487360],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 55/95551488],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 167/9830400],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 347/127401984],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 984037/1132462080],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 199/9830400],
[[[1, 5], [2, 6], [4, 3], [12, 2]], 9307/212336640],
[[[1, 5], [2, 6], [4, 3], [16, 1]], 6623/37748736],
[[[1, 5], [2, 6], [4, 3], [20, 1]], 483/6553600],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 3623/1019215872],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 56687/1132462080],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 10049/1358954496],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 5317943/7247757312],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 57749/1132462080],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 30629/106168320],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 263117/7549747200],
[[[1, 5], [2, 6], [5, 1], [6, 5]], 1/2488320],
[[[1, 5], [2, 6], [5, 2], [6, 3]], 7/2073600],
[[[1, 5], [2, 6], [6, 1], [8, 3]], 31/2359296],
[[[1, 5], [2, 6], [6, 3], [8, 2]], 1/1769472],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 5/442368],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 1418603/163074539520],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 14647/1719926784],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 678559/163074539520],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 24427/382205952],
[[[1, 5], [2, 8], [3, 2], [8, 2]], 551/849346560],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 31/7372800],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 1207/1274019840],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 7931/159252480],
[[[1, 5], [2, 8], [3, 4], [4, 2]], 281/15288238080],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 27157/5733089280],
[[[1, 5], [2, 8], [3, 4], [8, 1]], 1/1911029760],
[[[1, 5], [2, 8], [3, 4], [10, 1]], 31/1194393600],
[[[1, 5], [2, 8], [3, 5], [4, 1]], 1/2866544640],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 31/2866544640],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 103/63700992],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 11/393216000],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 12643/1528823808],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 6055033/72477573120],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 2867/117964800],
[[[1, 5], [2, 8], [4, 2], [12, 2]], 31/42467328],
[[[1, 5], [2, 8], [4, 2], [16, 1]], 1861/141557760],
[[[1, 5], [2, 8], [4, 2], [20, 1]], 31/11796480],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 6529/509607936],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 134177/15099494400],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 610177/27179089920],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 11168707/108716359680],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 146309/7549747200],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 503/17694720],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 2108909/54358179840],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 241/79626240],
[[[1, 5], [2, 8], [5, 1], [8, 2]], 283/235929600],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 39/2048000],
[[[1, 5], [2, 8], [5, 2], [6, 2]], 97/110592000],
[[[1, 5], [2, 8], [5, 2], [8, 1]], 1/147456000],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 1291/92160000],
[[[1, 5], [2, 8], [6, 2], [8, 2]], 257/56623104],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 1/819200],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 17/14155776],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 13/26542080],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 11/3276800],
[[[1, 5], [2, 8], [8, 1], [16, 1]], 31/18874368],
[[[1, 5], [2, 8], [8, 2], [10, 1]], 83/26214400],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 25765/8153726976],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 64693/8599633920],
[[[1, 5], [2, 10], [3, 1], [8, 2]], 47/377487360],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 1433/663552000],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 102289/122305904640],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 4627/477757440],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 1441/30576476160],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 343/318504960],
[[[1, 5], [2, 10], [3, 3], [8, 1]], 1/1274019840],
[[[1, 5], [2, 10], [3, 3], [10, 1]], 11/265420800],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 19/22932357120],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 73/17199267840],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 7/1769472000],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 1471/254803968],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 11293/4026531840],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 31/3932160],
[[[1, 5], [2, 10], [4, 1], [16, 1]], 17/56623104],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 211249/15288238080],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 33811/33973862400],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 106789/6794772480],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 2166683/173946175488],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 87677/5662310400],
[[[1, 5], [2, 10], [4, 3], [12, 1]], 91/84934656],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 1320079/130459631616],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 271/132710400],
[[[1, 5], [2, 10], [5, 2], [6, 1]], 37/1327104000],
[[[1, 5], [2, 10], [6, 1], [8, 2]], 461/566231040],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 13/3686400],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 1/442368],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 1/294912],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 181603/434865438720],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 1892767/825564856320],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 17213/362387865600],
[[[1, 5], [2, 12], [3, 2], [5, 1]], 61/764411904000],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 72461/152882380800],
[[[1, 5], [2, 12], [3, 2], [8, 1]], 19/13589544960],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 97/2831155200],
[[[1, 5], [2, 12], [3, 3], [4, 1]], 17/12230590464],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 109/15288238080],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 156631/40768634880],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 1951/33554432000],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 10953319/1956894474240],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 2845711/4348654387200],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 1575863/543581798400],
[[[1, 5], [2, 12], [4, 2], [12, 1]], 41/5662310400],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 4522081/1304596316160],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 6497/25480396800],
[[[1, 5], [2, 12], [5, 1], [8, 1]], 1/251658240],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 233/2359296000],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 5549/9059696640],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 3947/1887436800],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 509/2516582400],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 492971/19568944742400],
[[[1, 5], [2, 14], [3, 1], [5, 1]], 7/113246208000],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 1673801/11007531417600],
[[[1, 5], [2, 14], [3, 1], [8, 1]], 4417/4892236185600],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 48931/3057647616000],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 7303/4892236185600],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 1403/244611809280],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 2111/815372697600],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 205537/326149079040],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 136633/6522981580800],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 121/671088640],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 9330313/19568944742400],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 7291/1019215872000],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 127/4026531840],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 14183/67947724800],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 23489/29353417113600],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 28477/11007531417600],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 83251/3261490790400],
[[[1, 5], [3, 1], [4, 3], [8, 3]], 19/7077888],
[[[1, 5], [3, 1], [4, 7], [8, 1]], 1/70778880],
[[[1, 5], [3, 2], [4, 2], [9, 2]], 1/27648],
[[[1, 5], [3, 2], [4, 4], [8, 2]], 1/524288],
[[[1, 5], [3, 2], [4, 4], [12, 2]], 43/2654208],
[[[1, 5], [3, 2], [4, 4], [20, 1]], 1/46080],
[[[1, 5], [3, 2], [4, 6], [12, 1]], 1/663552],
[[[1, 5], [3, 2], [5, 1], [9, 2]], 1/2160],
[[[1, 5], [3, 2], [5, 2], [15, 1]], 1/600],
[[[1, 5], [3, 4], [4, 2], [8, 2]], 1/2654208],
[[[1, 5], [3, 4], [4, 2], [12, 2]], 1/27648],
[[[1, 5], [3, 4], [5, 1], [15, 1]], 1/2160],
[[[1, 5], [4, 2], [5, 2], [8, 2]], 1/204800],
[[[1, 5], [4, 2], [8, 2], [12, 2]], 1/294912],
[[[1, 5], [4, 2], [8, 2], [20, 1]], 1/81920],
[[[1, 5], [4, 4], [5, 1], [8, 2]], 1/1310720],
[[[1, 5], [4, 4], [8, 1], [16, 1]], 1/9437184],
[[[1, 5], [4, 4], [8, 2], [12, 1]], 1/786432],
[[[1, 5], [4, 4], [12, 1], [20, 1]], 1/184320],
[[[1, 6], [2, 1], [3, 1], [4, 8]], 13/1698693120],
[[[1, 6], [2, 1], [3, 2], [4, 7]], 31/106168320],
[[[1, 6], [2, 1], [3, 3], [9, 2]], 7/31104],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 1/31104],
[[[1, 6], [2, 1], [4, 1], [8, 4]], 1/524288],
[[[1, 6], [2, 1], [4, 3], [8, 3]], 6421/1132462080],
[[[1, 6], [2, 1], [4, 3], [12, 3]], 1/3317760],
[[[1, 6], [2, 1], [4, 5], [8, 2]], 547/754974720],
[[[1, 6], [2, 1], [4, 5], [12, 2]], 1/327680],
[[[1, 6], [2, 1], [4, 5], [16, 1]], 1/9437184],
[[[1, 6], [2, 1], [4, 5], [20, 1]], 19/7372800],
[[[1, 6], [2, 1], [4, 7], [5, 1]], 1/707788800],
[[[1, 6], [2, 1], [4, 7], [8, 1]], 311/3623878656],
[[[1, 6], [2, 1], [4, 7], [10, 1]], 1/707788800],
[[[1, 6], [2, 1], [4, 7], [12, 1]], 227/707788800],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 799579/81537269760],
[[[1, 6], [2, 3], [3, 2], [4, 6]], 7613/2717908992],
[[[1, 6], [2, 3], [3, 2], [8, 3]], 1/1769472],
[[[1, 6], [2, 3], [3, 2], [9, 2]], 11/110592],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 19/84934656],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 29/84934656],
[[[1, 6], [2, 3], [3, 4], [8, 2]], 1/2654208],
[[[1, 6], [2, 3], [3, 5], [4, 3]], 17/47775744],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 701/2239488],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 1/41472],
[[[1, 6], [2, 3], [3, 6], [4, 2]], 341/1433272320],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 7889/100776960],
[[[1, 6], [2, 3], [3, 6], [10, 1]], 101/111974400],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 1/1536000],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 31583/377487360],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 1/1310720],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 180851/1509949440],
[[[1, 6], [2, 3], [4, 4], [12, 2]], 2707/70778880],
[[[1, 6], [2, 3], [4, 4], [16, 1]], 83/3932160],
[[[1, 6], [2, 3], [4, 4], [20, 1]], 199/3932160],
[[[1, 6], [2, 3], [4, 5], [6, 3]], 11/169869312],
[[[1, 6], [2, 3], [4, 6], [5, 1]], 4379/6291456000],
[[[1, 6], [2, 3], [4, 6], [6, 2]], 9461/122305904640],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 6076817/271790899200],
[[[1, 6], [2, 3], [4, 6], [10, 1]], 3679/6291456000],
[[[1, 6], [2, 3], [4, 6], [12, 1]], 6883/283115520],
[[[1, 6], [2, 3], [4, 7], [6, 1]], 43661/135895449600],
[[[1, 6], [2, 3], [5, 1], [8, 3]], 1/122880],
[[[1, 6], [2, 3], [5, 2], [8, 2]], 1/204800],
[[[1, 6], [2, 3], [5, 3], [6, 2]], 1/432000],
[[[1, 6], [2, 3], [5, 3], [10, 1]], 1/120000],
[[[1, 6], [2, 3], [6, 2], [18, 2]], 31/4976640],
[[[1, 6], [2, 3], [8, 2], [16, 1]], 379/23592960],
[[[1, 6], [2, 3], [8, 3], [10, 1]], 1/163840],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 263117/7549747200],
[[[1, 6], [2, 5], [3, 1], [8, 3]], 31/2359296],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 10049/1358954496],
[[[1, 6], [2, 5], [3, 2], [6, 5]], 31/17915904],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 3623/1019215872],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 16291/107495424],
[[[1, 6], [2, 5], [3, 3], [8, 2]], 1/1769472],
[[[1, 6], [2, 5], [3, 3], [10, 2]], 7/2073600],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 347/127401984],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 3445/11943936],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 5/442368],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 55/95551488],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 545/11943936],
[[[1, 6], [2, 5], [3, 5], [10, 1]], 1/2488320],
[[[1, 6], [2, 5], [3, 6], [6, 1]], 101/1612431360],
[[[1, 6], [2, 5], [4, 1], [8, 3]], 42397/377487360],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 199/9830400],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 91/127401984],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 984037/1132462080],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 167/9830400],
[[[1, 6], [2, 5], [4, 3], [12, 2]], 9307/212336640],
[[[1, 6], [2, 5], [4, 3], [16, 1]], 6623/37748736],
[[[1, 6], [2, 5], [4, 3], [20, 1]], 483/6553600],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 2159/1019215872],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 57749/1132462080],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 4243/1358954496],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 5317943/7247757312],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 56687/1132462080],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 30629/106168320],
[[[1, 6], [2, 5], [4, 6], [6, 1]], 16108007/1223059046400],
[[[1, 6], [2, 5], [5, 2], [6, 3]], 1/230400],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 1/1728000],
[[[1, 6], [2, 5], [6, 1], [8, 3]], 25/2359296],
[[[1, 6], [2, 5], [6, 4], [18, 1]], 31/19906560],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 5479289/163074539520],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 203/63700992],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 70235/5435817984],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 1/331776000],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 73105/1146617856],
[[[1, 6], [2, 7], [3, 2], [8, 2]], 19/6291456],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 137/22118400],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 6869/1274019840],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 125995/859963392],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 1571/1911029760],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 1/1194393600],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 11317/382205952],
[[[1, 6], [2, 7], [3, 4], [8, 1]], 31/1911029760],
[[[1, 6], [2, 7], [3, 4], [10, 1]], 13/26542080],
[[[1, 6], [2, 7], [3, 5], [4, 1]], 31/2866544640],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 347/955514880],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 67/191102976],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 1841/147456000],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 8017/1911029760],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 77896909/271790899200],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 3187/147456000],
[[[1, 6], [2, 7], [4, 2], [12, 2]], 38999/19110297600],
[[[1, 6], [2, 7], [4, 2], [16, 1]], 483/10485760],
[[[1, 6], [2, 7], [4, 2], [20, 1]], 36119/5308416000],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 2039/169869312],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 279193/4529848320],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 629053/27179089920],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 10880429/21743271936],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 1518959/22649241600],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 338017/2388787200],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 3270631/54358179840],
[[[1, 6], [2, 7], [5, 1], [6, 4]], 17/8847360],
[[[1, 6], [2, 7], [5, 1], [8, 2]], 49/9437184],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 1099/18432000],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 29/7372800],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 31/147456000],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 209/3686400],
[[[1, 6], [2, 7], [6, 2], [8, 2]], 301/56623104],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 31/331776000],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 13/42467328],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 31/1194393600],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 1/655360],
[[[1, 6], [2, 7], [8, 1], [16, 1]], 36119/8493465600],
[[[1, 6], [2, 7], [8, 2], [10, 1]], 299/47185920],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 2030645/130459631616],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 1/442368000],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 89/11943936],
[[[1, 6], [2, 9], [3, 1], [8, 2]], 341/339738624],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 13/3686400],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 725479/122305904640],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 19531/716636160],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 8057/10192158720],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 1/796262400],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 12263/1433272320],
[[[1, 6], [2, 9], [3, 3], [8, 1]], 11/424673280],
[[[1, 6], [2, 9], [3, 3], [10, 1]], 521/1194393600],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 631/22932357120],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 109/955514880],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 47/353894400],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 3437/764411904],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 172339/12079595520],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 31/3932160],
[[[1, 6], [2, 9], [4, 1], [16, 1]], 31/18874368],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 261883/15288238080],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 338461/33973862400],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 74297/2264924160],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 289473277/4348654387200],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 181531/5662310400],
[[[1, 6], [2, 9], [4, 3], [12, 1]], 707/84934656],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 111685/2717908992],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 1/276480],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 23/73728000],
[[[1, 6], [2, 9], [6, 1], [8, 2]], 361/141557760],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 1433/663552000],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 5/2359296],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 2063/1194393600],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 3854999/1304596316160],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 168313/30576476160],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 385223/652298158080],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 19/8493465600],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 107179/36691771392],
[[[1, 6], [2, 11], [3, 2], [8, 1]], 97/4529848320],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 13069/50960793600],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 623/20384317440],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 20197/137594142720],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 50903/8153726976],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 76117/108716359680],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 43956259/3261490790400],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 782801/173946175488],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 21145117/2717908992000],
[[[1, 6], [2, 11], [4, 2], [12, 1]], 11/94371840],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 16047791/1304596316160],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 5549/5662310400],
[[[1, 6], [2, 11], [5, 1], [8, 1]], 151/3774873600],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 11381/14155776000],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 3947/3019898880],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 169271/63700992000],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 823/1509949440],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 4536367/19568944742400],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 4417/3057647616000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 54643/81537269760],
[[[1, 6], [2, 13], [3, 1], [8, 1]], 48931/4892236185600],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 2141/22649241600],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 34711/1630745395200],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 228817/3669177139200],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 119857/4076863488000],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 1820977/978447237120],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 6775711/48922361856000],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 11681/18119393280],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 38483201/19568944742400],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 127/2516582400],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 14183/108716359680],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 1613807/3057647616000],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 255953/29353417113600],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 6001/305764761600],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 1247801/9784472371200],
[[[1, 7], [2, 2], [3, 1], [4, 7]], 11237/45298483200],
[[[1, 7], [2, 2], [3, 2], [4, 6]], 29327/13589544960],
[[[1, 7], [2, 2], [3, 2], [9, 2]], 5/110592],
[[[1, 7], [2, 2], [3, 3], [4, 5]], 5/56623104],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 13/84934656],
[[[1, 7], [2, 2], [3, 4], [8, 2]], 1/2654208],
[[[1, 7], [2, 2], [3, 5], [4, 3]], 1/5308416],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 6], [4, 2]], 181/477757440],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 7889/100776960],
[[[1, 7], [2, 2], [3, 6], [8, 1]], 101/179159040],
[[[1, 7], [2, 2], [3, 6], [10, 1]], 101/111974400],
[[[1, 7], [2, 2], [3, 7], [4, 1]], 101/268738560],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 253/33592320],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/512000],
[[[1, 7], [2, 2], [4, 2], [8, 3]], 5389/377487360],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 1/1310720],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 4469/503316480],
[[[1, 7], [2, 2], [4, 4], [12, 2]], 247/70778880],
[[[1, 7], [2, 2], [4, 4], [16, 1]], 19/11796480],
[[[1, 7], [2, 2], [4, 4], [20, 1]], 9/1310720],
[[[1, 7], [2, 2], [4, 6], [5, 1]], 7141/56623104000],
[[[1, 7], [2, 2], [4, 6], [6, 2]], 1787/122305904640],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 143129/90596966400],
[[[1, 7], [2, 2], [4, 6], [10, 1]], 2641/56623104000],
[[[1, 7], [2, 2], [4, 6], [12, 1]], 583/283115520],
[[[1, 7], [2, 2], [4, 7], [6, 1]], 1097/81537269760],
[[[1, 7], [2, 2], [5, 2], [8, 2]], 1/204800],
[[[1, 7], [2, 2], [5, 3], [6, 2]], 1/432000],
[[[1, 7], [2, 2], [5, 3], [8, 1]], 1/192000],
[[[1, 7], [2, 2], [5, 3], [10, 1]], 1/120000],
[[[1, 7], [2, 2], [6, 2], [18, 2]], 1/4976640],
[[[1, 7], [2, 2], [8, 2], [16, 1]], 23/7864320],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 2616079/101921587200],
[[[1, 7], [2, 4], [3, 1], [8, 3]], 13/1769472],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 4703/452984832],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 3053/1019215872],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 1489/107495424],
[[[1, 7], [2, 4], [3, 3], [8, 2]], 1/589824],
[[[1, 7], [2, 4], [3, 3], [10, 2]], 1/2073600],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 647/191102976],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 6053/35831808],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 11/442368],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 187/95551488],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 1387/11943936],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 1/3981312],
[[[1, 7], [2, 4], [3, 5], [10, 1]], 1/829440],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 1067/2149908480],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 9077/1612431360],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 7/2304000],
[[[1, 7], [2, 4], [4, 1], [8, 3]], 13571/377487360],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 41/4915200],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 30911/188743680],
[[[1, 7], [2, 4], [4, 3], [12, 2]], 3373/318504960],
[[[1, 7], [2, 4], [4, 3], [16, 1]], 199/6291456],
[[[1, 7], [2, 4], [4, 3], [20, 1]], 1861/88473600],
[[[1, 7], [2, 4], [4, 4], [6, 3]], 473/1019215872],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 11371/1887436800],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 4079/4076863488],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 536069/7247757312],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 7891/1887436800],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 51847/1274019840],
[[[1, 7], [2, 4], [4, 6], [6, 1]], 2982341/1223059046400],
[[[1, 7], [2, 4], [5, 2], [6, 3]], 1/691200],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 7/1728000],
[[[1, 7], [2, 4], [6, 1], [8, 3]], 1/262144],
[[[1, 7], [2, 4], [6, 4], [18, 1]], 1/19906560],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 3270631/54358179840],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 347/955514880],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 629053/27179089920],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 31/331776000],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 11317/382205952],
[[[1, 7], [2, 6], [3, 2], [8, 2]], 301/56623104],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 29/7372800],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 2039/169869312],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 125995/859963392],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 8017/1911029760],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 31/1194393600],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 73105/1146617856],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 13/42467328],
[[[1, 7], [2, 6], [3, 4], [10, 1]], 17/8847360],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 67/191102976],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 203/63700992],
[[[1, 7], [2, 6], [4, 1], [6, 5]], 31/2866544640],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 3187/147456000],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 1571/1911029760],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 77896909/271790899200],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 1841/147456000],
[[[1, 7], [2, 6], [4, 2], [12, 2]], 38999/19110297600],
[[[1, 7], [2, 6], [4, 2], [16, 1]], 483/10485760],
[[[1, 7], [2, 6], [4, 2], [20, 1]], 36119/5308416000],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 6869/1274019840],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 1518959/22649241600],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 70235/5435817984],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 10880429/21743271936],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 279193/4529848320],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 338017/2388787200],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 5479289/163074539520],
[[[1, 7], [2, 6], [5, 1], [6, 4]], 13/26542080],
[[[1, 7], [2, 6], [5, 1], [8, 2]], 299/47185920],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 209/3686400],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 137/22118400],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 1/655360],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 1099/18432000],
[[[1, 7], [2, 6], [6, 2], [8, 2]], 19/6291456],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 1/331776000],
[[[1, 7], [2, 6], [6, 4], [8, 1]], 31/1911029760],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 1/1194393600],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 31/147456000],
[[[1, 7], [2, 6], [8, 1], [16, 1]], 36119/8493465600],
[[[1, 7], [2, 6], [8, 2], [10, 1]], 49/9437184],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 6132245/130459631616],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 11/147456000],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 1907/477757440],
[[[1, 7], [2, 8], [3, 1], [8, 2]], 5311/1698693120],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 23/7372800],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 134377/6794772480],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 9653/238878720],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 134741/30576476160],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 11/265420800],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 41183/1433272320],
[[[1, 7], [2, 8], [3, 3], [8, 1]], 521/1911029760],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 2063/1194393600],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 2207/5733089280],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 3067/2866544640],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 251/88473600],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 10829/5733089280],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 4367269/135895449600],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 2653/442368000],
[[[1, 7], [2, 8], [4, 1], [16, 1]], 36119/8493465600],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 180257/15288238080],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 261749/5662310400],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 238799/6794772480],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 2988815497/13045963161600],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 327283/5662310400],
[[[1, 7], [2, 8], [4, 3], [12, 1]], 200617/6370099200],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 1820113/27179089920],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 1/294912],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 323/221184000],
[[[1, 7], [2, 8], [6, 1], [8, 2]], 43/10485760],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 431/663552000],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 2063/1911029760],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 521/1194393600],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 250923151/19568944742400],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 331291/38220595200],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 85667/24159191040],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 97/2831155200],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 43663/4076863488],
[[[1, 7], [2, 10], [3, 2], [8, 1]], 13069/81537269760],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 203/209715200],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 111983/366917713920],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 352781/275188285440],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 2859433/458647142400],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 100175/21743271936],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 68013557/3261490790400],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 253478629/13045963161600],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 37947491/2717908992000],
[[[1, 7], [2, 10], [4, 2], [12, 1]], 743/849346560],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 68262559/2174327193600],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 3947/1887436800],
[[[1, 7], [2, 10], [5, 1], [8, 1]], 1783/7549747200],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 367/104857600],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 169271/101921587200],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 131711/63700992000],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 77033/84934656000],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 932759/724775731200],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 48931/3057647616000],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 2394743/1223059046400],
[[[1, 7], [2, 12], [3, 1], [8, 1]], 6679/108716359680],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 21809/67947724800],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 169927/978447237120],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 103601/244611809280],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 17231/90596966400],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 52638853/14676708556800],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 16506923/24461180928000],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 5930759/4076863488000],
[[[1, 7], [2, 12], [4, 1], [12, 1]], 1/2123366400],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 105728359/19568944742400],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 14183/67947724800],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 1648367/4892236185600],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 2631809/3057647616000],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 1403527/24461180928000],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 1152319/12230590464000],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 7620659/18345885696000],
[[[1, 7], [3, 1], [4, 4], [8, 2]], 1/6291456],
[[[1, 7], [3, 1], [4, 4], [12, 2]], 1/2654208],
[[[1, 7], [3, 1], [4, 4], [20, 1]], 1/737280],
[[[1, 7], [3, 1], [4, 6], [12, 1]], 1/10616832],
[[[1, 7], [3, 2], [4, 5], [8, 1]], 1/37748736],
[[[1, 7], [3, 3], [4, 2], [8, 2]], 1/5308416],
[[[1, 7], [3, 3], [4, 2], [12, 2]], 1/110592],
[[[1, 7], [3, 3], [5, 1], [15, 1]], 1/8640],
[[[1, 7], [3, 4], [4, 2], [9, 1]], 1/110592],
[[[1, 7], [3, 4], [4, 3], [8, 1]], 1/10616832],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 1/8640],
[[[1, 7], [3, 6], [4, 1], [8, 1]], 101/179159040],
[[[1, 7], [4, 1], [5, 3], [8, 1]], 1/192000],
[[[1, 7], [4, 1], [8, 2], [16, 1]], 1/1572864],
[[[1, 7], [4, 3], [5, 2], [8, 1]], 1/819200],
[[[1, 7], [4, 3], [8, 1], [12, 2]], 1/3538944],
[[[1, 7], [4, 3], [8, 1], [20, 1]], 1/983040],
[[[1, 7], [4, 5], [5, 1], [8, 1]], 1/10485760],
[[[1, 7], [4, 5], [8, 1], [12, 1]], 1/14155776],
[[[1, 8], [2, 1], [3, 1], [4, 7]], 2681/135895449600],
[[[1, 8], [2, 1], [3, 2], [4, 6]], 7/905969664],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 1/432000],
[[[1, 8], [2, 1], [3, 2], [9, 2]], 31/4976640],
[[[1, 8], [2, 1], [3, 3], [4, 5]], 1/56623104],
[[[1, 8], [2, 1], [3, 4], [4, 4]], 5/169869312],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 1/1036800],
[[[1, 8], [2, 1], [3, 5], [4, 3]], 1/15925248],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 7/124416],
[[[1, 8], [2, 1], [3, 6], [4, 2]], 101/477757440],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 101/111974400],
[[[1, 8], [2, 1], [3, 6], [8, 1]], 101/179159040],
[[[1, 8], [2, 1], [3, 7], [4, 1]], 101/268738560],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 253/33592320],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 1/512000],
[[[1, 8], [2, 1], [4, 2], [8, 3]], 67/377487360],
[[[1, 8], [2, 1], [4, 4], [5, 2]], 1/2621440],
[[[1, 8], [2, 1], [4, 4], [8, 2]], 71/167772160],
[[[1, 8], [2, 1], [4, 4], [12, 2]], 25/169869312],
[[[1, 8], [2, 1], [4, 4], [20, 1]], 5/9437184],
[[[1, 8], [2, 1], [4, 6], [5, 1]], 7/251658240],
[[[1, 8], [2, 1], [4, 6], [8, 1]], 4583/90596966400],
[[[1, 8], [2, 1], [4, 6], [12, 1]], 25/679477248],
[[[1, 8], [2, 1], [4, 7], [6, 1]], 143/81537269760],
[[[1, 8], [2, 1], [5, 3], [8, 1]], 1/192000],
[[[1, 8], [2, 1], [8, 2], [16, 1]], 1/7864320],
[[[1, 8], [2, 3], [3, 1], [4, 6]], 261739/135895449600],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1/576000],
[[[1, 8], [2, 3], [3, 1], [8, 3]], 5/3538944],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 2453/452984832],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 469/339738624],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 1/691200],
[[[1, 8], [2, 3], [3, 3], [8, 2]], 7/5308416],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 359/191102976],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 163/8957952],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 11/442368],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 23/11943936],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 1/2488320],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 8965/107495424],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 1/1327104],
[[[1, 8], [2, 3], [3, 5], [10, 1]], 7/7464960],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 721/429981696],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 2891/179159040],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 1/92160],
[[[1, 8], [2, 3], [4, 1], [8, 3]], 2437/377487360],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 41/4915200],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 6053/283115520],
[[[1, 8], [2, 3], [4, 3], [12, 2]], 373/318504960],
[[[1, 8], [2, 3], [4, 3], [16, 1]], 9/2097152],
[[[1, 8], [2, 3], [4, 3], [20, 1]], 301/88473600],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 3041/1887436800],
[[[1, 8], [2, 3], [4, 5], [6, 2]], 653/4076863488],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 115727/14495514624],
[[[1, 8], [2, 3], [4, 5], [10, 1]], 641/1887436800],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 5647/1274019840],
[[[1, 8], [2, 3], [4, 6], [6, 1]], 65069/271790899200],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 1/192000],
[[[1, 8], [2, 3], [6, 1], [8, 3]], 1/2359296],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 2108909/54358179840],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 31/2866544640],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 610177/27179089920],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 1/819200],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 27157/5733089280],
[[[1, 8], [2, 5], [3, 2], [8, 2]], 257/56623104],
[[[1, 8], [2, 5], [3, 2], [10, 2]], 97/110592000],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 6529/509607936],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 7931/159252480],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 12643/1528823808],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 13/26542080],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 24427/382205952],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 17/14155776],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 241/79626240],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 103/63700992],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 14647/1719926784],
[[[1, 8], [2, 5], [4, 1], [6, 5]], 1/2866544640],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 2867/117964800],
[[[1, 8], [2, 5], [4, 2], [6, 4]], 281/15288238080],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 6055033/72477573120],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 11/393216000],
[[[1, 8], [2, 5], [4, 2], [12, 2]], 31/42467328],
[[[1, 8], [2, 5], [4, 2], [16, 1]], 1861/141557760],
[[[1, 8], [2, 5], [4, 2], [20, 1]], 31/11796480],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 1207/1274019840],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 146309/7549747200],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 678559/163074539520],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 11168707/108716359680],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 134177/15099494400],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 503/17694720],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 1418603/163074539520],
[[[1, 8], [2, 5], [5, 1], [6, 4]], 31/1194393600],
[[[1, 8], [2, 5], [5, 1], [8, 2]], 83/26214400],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 1291/92160000],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 31/7372800],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 11/3276800],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 39/2048000],
[[[1, 8], [2, 5], [6, 2], [8, 2]], 551/849346560],
[[[1, 8], [2, 5], [6, 4], [8, 1]], 1/1911029760],
[[[1, 8], [2, 5], [8, 1], [10, 2]], 1/147456000],
[[[1, 8], [2, 5], [8, 1], [16, 1]], 31/18874368],
[[[1, 8], [2, 5], [8, 2], [10, 1]], 283/235929600],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 1820113/27179089920],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 431/663552000],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 3067/2866544640],
[[[1, 8], [2, 7], [3, 1], [8, 2]], 43/10485760],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 323/221184000],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 238799/6794772480],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 41183/1433272320],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 180257/15288238080],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 521/1194393600],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 9653/238878720],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 2063/1911029760],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 1/294912],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 10829/5733089280],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 1907/477757440],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 2653/442368000],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 2207/5733089280],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 4367269/135895449600],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 251/88473600],
[[[1, 8], [2, 7], [4, 1], [16, 1]], 36119/8493465600],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 134741/30576476160],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 327283/5662310400],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 134377/6794772480],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 2988815497/13045963161600],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 261749/5662310400],
[[[1, 8], [2, 7], [4, 3], [12, 1]], 200617/6370099200],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 6132245/130459631616],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 2063/1194393600],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 23/7372800],
[[[1, 8], [2, 7], [6, 1], [8, 2]], 5311/1698693120],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 11/147456000],
[[[1, 8], [2, 7], [6, 3], [8, 1]], 521/1911029760],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 11/265420800],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 669982273/19568944742400],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 1001593/114661785600],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 7448267/652298158080],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 13069/50960793600],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 1894079/76441190400],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 203/335544320],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 131711/63700992000],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 106927/73383542784],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 150433/30576476160],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 1777753/458647142400],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 42576157/2717908992000],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 65694553/3261490790400],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 655693939/13045963161600],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 55000931/2717908992000],
[[[1, 8], [2, 9], [4, 2], [12, 1]], 70799/25480396800],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 1234257/26843545600],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 169271/63700992000],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 4883/7549747200],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 441103/53084160000],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 131711/101921587200],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 203/209715200],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 82793/84934656000],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 30937267/6522981580800],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 1387/13589544960],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 3026153/733835427840],
[[[1, 8], [2, 11], [3, 1], [8, 1]], 24113/108716359680],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 697547/1019215872000],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 274487/326149079040],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 6626999/3669177139200],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 25399/30198988800],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 69678343/14676708556800],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 60016181/26091926323200],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 1902433/815372697600],
[[[1, 8], [2, 11], [4, 1], [12, 1]], 7/707788800],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 53232773/4892236185600],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 1682927/3057647616000],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 2804609/4892236185600],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 108289/113246208000],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 3041881/12230590464000],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 11500357/36691771392000],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 69839141/73383542784000],
[[[1, 9], [2, 2], [3, 1], [4, 6]], 22913/135895449600],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 1/192000],
[[[1, 9], [2, 2], [3, 2], [4, 5]], 25/150994944],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 107/339738624],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 1/230400],
[[[1, 9], [2, 2], [3, 3], [8, 2]], 1/5308416],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 25/42467328],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 5/442368],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 5/7962624],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 1/829440],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 1201/107495424],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 7/11943936],
[[[1, 9], [2, 2], [3, 5], [10, 1]], 1/7464960],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 673/429981696],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 6611/537477120],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 1/92160],
[[[1, 9], [2, 2], [4, 1], [8, 3]], 43/377487360],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 13/3276800],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 683/566231040],
[[[1, 9], [2, 2], [4, 3], [12, 2]], 11/141557760],
[[[1, 9], [2, 2], [4, 3], [16, 1]], 25/75497472],
[[[1, 9], [2, 2], [4, 3], [20, 1]], 11/39321600],
[[[1, 9], [2, 2], [4, 5], [5, 1]], 53/125829120],
[[[1, 9], [2, 2], [4, 5], [8, 1]], 35777/72477573120],
[[[1, 9], [2, 2], [4, 5], [12, 1]], 17/70778880],
[[[1, 9], [2, 2], [4, 6], [6, 1]], 21991/815372697600],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/576000],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 195769/36238786560],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 264427/27179089920],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 31/7372800],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 1387/5733089280],
[[[1, 9], [2, 4], [3, 2], [8, 2]], 37/18874368],
[[[1, 9], [2, 4], [3, 2], [10, 2]], 7/110592000],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 27163/3822059520],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 9197/1433272320],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 11203/1528823808],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 17/8847360],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 3799/127401984],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 241/127401984],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 53/26542080],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1651/573308928],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 17815/1719926784],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 2867/117964800],
[[[1, 9], [2, 4], [4, 2], [6, 4]], 1/1698693120],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 334391/24159191040],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 1/1179648000],
[[[1, 9], [2, 4], [4, 2], [12, 2]], 17/127401984],
[[[1, 9], [2, 4], [4, 2], [16, 1]], 301/141557760],
[[[1, 9], [2, 4], [4, 2], [20, 1]], 17/35389440],
[[[1, 9], [2, 4], [4, 3], [6, 3]], 223/15288238080],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 58591/7549747200],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 95797/163074539520],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 73745/4831838208],
[[[1, 9], [2, 4], [4, 4], [10, 1]], 11507/15099494400],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 1109/318504960],
[[[1, 9], [2, 4], [4, 5], [6, 1]], 153823/108716359680],
[[[1, 9], [2, 4], [5, 1], [6, 4]], 1/1194393600],
[[[1, 9], [2, 4], [5, 1], [8, 2]], 79/78643200],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 61/92160000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 1/819200],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 11/3276800],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 19/6144000],
[[[1, 9], [2, 4], [6, 2], [8, 2]], 41/849346560],
[[[1, 9], [2, 4], [8, 1], [16, 1]], 17/56623104],
[[[1, 9], [2, 4], [8, 2], [10, 1]], 13/235929600],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 111685/2717908992],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 1433/663552000],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 109/955514880],
[[[1, 9], [2, 6], [3, 1], [8, 2]], 361/141557760],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 23/73728000],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 74297/2264924160],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 12263/1433272320],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 261883/15288238080],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 2063/1194393600],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 19531/716636160],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 5/2359296],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 1/276480],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 3437/764411904],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 89/11943936],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 31/3932160],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 631/22932357120],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 172339/12079595520],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 47/353894400],
[[[1, 9], [2, 6], [4, 1], [16, 1]], 31/18874368],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 8057/10192158720],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 181531/5662310400],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 725479/122305904640],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 289473277/4348654387200],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 338461/33973862400],
[[[1, 9], [2, 6], [4, 3], [12, 1]], 707/84934656],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 2030645/130459631616],
[[[1, 9], [2, 6], [5, 1], [6, 3]], 521/1194393600],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 13/3686400],
[[[1, 9], [2, 6], [6, 1], [8, 2]], 341/339738624],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 1/442368000],
[[[1, 9], [2, 6], [6, 3], [8, 1]], 11/424673280],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 1/796262400],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 1234257/26843545600],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 150433/30576476160],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 65694553/3261490790400],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 203/209715200],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 1894079/76441190400],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 131711/101921587200],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 169271/63700992000],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 1777753/458647142400],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 1001593/114661785600],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 106927/73383542784],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 55000931/2717908992000],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 7448267/652298158080],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 655693939/13045963161600],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 42576157/2717908992000],
[[[1, 9], [2, 8], [4, 2], [12, 1]], 70799/25480396800],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 669982273/19568944742400],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 131711/63700992000],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 82793/84934656000],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 441103/53084160000],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 203/335544320],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 13069/50960793600],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 4883/7549747200],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 14564113/1304596316160],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 25393/67947724800],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 2322823/407686348800],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 782027/1630745395200],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 335107/339738624000],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 12053627/4892236185600],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 3254113/733835427840],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 9219719/4076863488000],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 20955137/4892236185600],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 123266431/26091926323200],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 2408161/815372697600],
[[[1, 9], [2, 10], [4, 1], [12, 1]], 5/127401984],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 47391193/3261490790400],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 2839169/3057647616000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 353027/543581798400],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 758987/1019215872000],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 29805421/39137889484800],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 7518473/9784472371200],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 192662779/117413668454400],
[[[1, 9], [3, 1], [4, 5], [8, 1]], 1/150994944],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 1/1843200],
[[[1, 9], [3, 2], [4, 2], [8, 2]], 7/283115520],
[[[1, 9], [3, 2], [4, 2], [12, 2]], 1/17694720],
[[[1, 9], [3, 2], [4, 4], [5, 1]], 1/23592960],
[[[1, 9], [3, 2], [5, 1], [15, 1]], 1/1382400],
[[[1, 9], [3, 3], [4, 3], [8, 1]], 1/21233664],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/6635520],
[[[1, 9], [3, 5], [4, 1], [8, 1]], 1/11943936],
[[[1, 9], [4, 2], [5, 1], [8, 2]], 1/235929600],
[[[1, 9], [4, 2], [8, 1], [16, 1]], 1/75497472],
[[[1, 10], [2, 1], [3, 1], [4, 6]], 13/3623878656],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 7/1728000],
[[[1, 10], [2, 1], [3, 2], [4, 5]], 1/50331648],
[[[1, 10], [2, 1], [3, 3], [4, 4]], 11/339738624],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 7/2073600],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 11/127401984],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 31/19906560],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 1/10616832],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 7/7464960],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1/11943936],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 827/2149908480],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 31/17915904],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 7/2304000],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 7/9830400],
[[[1, 10], [2, 1], [4, 3], [8, 2]], 7/1132462080],
[[[1, 10], [2, 1], [4, 3], [12, 2]], 1/424673280],
[[[1, 10], [2, 1], [4, 3], [16, 1]], 1/75497472],
[[[1, 10], [2, 1], [4, 3], [20, 1]], 1/117964800],
[[[1, 10], [2, 1], [4, 5], [5, 1]], 7/125829120],
[[[1, 10], [2, 1], [4, 5], [8, 1]], 133/14495514624],
[[[1, 10], [2, 1], [4, 5], [12, 1]], 1/106168320],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 23771/36238786560],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 22403/18119393280],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 137/22118400],
[[[1, 10], [2, 3], [3, 2], [8, 2]], 97/283115520],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 8377/3822059520],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 1/5898240],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 5593/1911029760],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 241/79626240],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 82511/17199267840],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 53/42467328],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 551/1194393600],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 1261/573308928],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 121/21233664],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 1627/147456000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 140717/181193932800],
[[[1, 10], [2, 3], [4, 2], [12, 2]], 41/4246732800],
[[[1, 10], [2, 3], [4, 2], [16, 1]], 11/62914560],
[[[1, 10], [2, 3], [4, 2], [20, 1]], 41/1179648000],
[[[1, 10], [2, 3], [4, 3], [6, 3]], 7/15288238080],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 6701/3019898880],
[[[1, 10], [2, 3], [4, 4], [6, 2]], 299/54358179840],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 287479/217432719360],
[[[1, 10], [2, 3], [4, 4], [10, 1]], 7/3019898880],
[[[1, 10], [2, 3], [4, 4], [12, 1]], 487/2123366400],
[[[1, 10], [2, 3], [4, 5], [6, 1]], 16229/108716359680],
[[[1, 10], [2, 3], [5, 1], [8, 2]], 31/235929600],
[[[1, 10], [2, 3], [5, 2], [6, 2]], 31/331776000],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 1/655360],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 31/92160000],
[[[1, 10], [2, 3], [8, 1], [16, 1]], 41/1887436800],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 1320079/130459631616],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 13/3686400],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 73/17199267840],
[[[1, 10], [2, 5], [3, 1], [8, 2]], 461/566231040],
[[[1, 10], [2, 5], [3, 1], [10, 2]], 37/1327104000],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 106789/6794772480],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 343/318504960],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 211249/15288238080],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 1/294912],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 4627/477757440],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 1/442368],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 271/132710400],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 1471/254803968],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 64693/8599633920],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 31/3932160],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 19/22932357120],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 11293/4026531840],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 7/1769472000],
[[[1, 10], [2, 5], [4, 1], [16, 1]], 17/56623104],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 1441/30576476160],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 87677/5662310400],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 102289/122305904640],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 2166683/173946175488],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 33811/33973862400],
[[[1, 10], [2, 5], [4, 3], [12, 1]], 91/84934656],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 25765/8153726976],
[[[1, 10], [2, 5], [5, 1], [6, 3]], 11/265420800],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 1433/663552000],
[[[1, 10], [2, 5], [6, 1], [8, 2]], 47/377487360],
[[[1, 10], [2, 5], [6, 3], [8, 1]], 1/1274019840],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 68262559/2174327193600],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 352781/275188285440],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 68013557/3261490790400],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 131711/63700992000],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 43663/4076863488],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 169271/101921587200],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 3947/1887436800],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 2859433/458647142400],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 331291/38220595200],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 111983/366917713920],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 37947491/2717908992000],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 85667/24159191040],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 253478629/13045963161600],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 100175/21743271936],
[[[1, 10], [2, 7], [4, 2], [12, 1]], 743/849346560],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 250923151/19568944742400],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 203/209715200],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 77033/84934656000],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 367/104857600],
[[[1, 10], [2, 7], [6, 2], [8, 1]], 13069/81537269760],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 97/2831155200],
[[[1, 10], [2, 7], [8, 1], [10, 1]], 1783/7549747200],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 47391193/3261490790400],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 758987/1019215872000],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 3254113/733835427840],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 353027/543581798400],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 2839169/3057647616000],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 20955137/4892236185600],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 2322823/407686348800],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 2408161/815372697600],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 12053627/4892236185600],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 123266431/26091926323200],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 9219719/4076863488000],
[[[1, 10], [2, 9], [4, 1], [12, 1]], 5/127401984],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 14564113/1304596316160],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 335107/339738624000],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 782027/1630745395200],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 25393/67947724800],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 2299621/1449551462400],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 23397443/17612050268160],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 237623017/117413668454400],
[[[1, 11], [2, 2], [3, 1], [4, 5]], 43/805306368],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 2921/18119393280],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 29/7372800],
[[[1, 11], [2, 2], [3, 2], [8, 2]], 7/283115520],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 217/566231040],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 329/637009920],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 53/26542080],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 4241/17199267840],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 551/1911029760],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 41/1194393600],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 1891/2866544640],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 3121/2866544640],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 281/147456000],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 1397/181193932800],
[[[1, 11], [2, 2], [4, 2], [12, 2]], 1/4246732800],
[[[1, 11], [2, 2], [4, 2], [16, 1]], 1/188743680],
[[[1, 11], [2, 2], [4, 2], [20, 1]], 1/1179648000],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 19/67108864],
[[[1, 11], [2, 2], [4, 4], [6, 2]], 1/6039797760],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 553/14495514624],
[[[1, 11], [2, 2], [4, 4], [10, 1]], 1/15099494400],
[[[1, 11], [2, 2], [4, 4], [12, 1]], 17/2123366400],
[[[1, 11], [2, 2], [4, 5], [6, 1]], 7/7247757312],
[[[1, 11], [2, 2], [5, 1], [8, 2]], 1/235929600],
[[[1, 11], [2, 2], [5, 2], [6, 2]], 1/331776000],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 31/147456000],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 1/92160000],
[[[1, 11], [2, 2], [8, 1], [16, 1]], 1/1887436800],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 1306991/652298158080],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 23/7372800],
[[[1, 11], [2, 4], [3, 1], [6, 4]], 1/17199267840],
[[[1, 11], [2, 4], [3, 1], [8, 2]], 5/37748736],
[[[1, 11], [2, 4], [3, 1], [10, 2]], 1/1327104000],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 496099/122305904640],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 149/2866544640],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 92263/15288238080],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 1/276480],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 53/29859840],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 271/212336640],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 73/132710400],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 22901/5733089280],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 34519/8599633920],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 1933/442368000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 16157/90596966400],
[[[1, 11], [2, 4], [4, 1], [16, 1]], 41/1887436800],
[[[1, 11], [2, 4], [4, 2], [6, 3]], 43/30576476160],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 156301/33973862400],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 1399/40768634880],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 1962943/1449551462400],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 83/3774873600],
[[[1, 11], [2, 4], [4, 3], [12, 1]], 103/1415577600],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 58343/163074539520],
[[[1, 11], [2, 4], [5, 1], [6, 3]], 1/796262400],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 431/663552000],
[[[1, 11], [2, 4], [6, 1], [8, 2]], 1/226492416],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 16047791/1304596316160],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 20197/137594142720],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 43956259/3261490790400],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 169271/63700992000],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 107179/36691771392],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 3947/3019898880],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 5549/5662310400],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 50903/8153726976],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 168313/30576476160],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 623/20384317440],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 21145117/2717908992000],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 385223/652298158080],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 782801/173946175488],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 76117/108716359680],
[[[1, 11], [2, 6], [4, 2], [12, 1]], 11/94371840],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 3854999/1304596316160],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 13069/50960793600],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 823/1509949440],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 11381/14155776000],
[[[1, 11], [2, 6], [6, 2], [8, 1]], 97/4529848320],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 19/8493465600],
[[[1, 11], [2, 6], [8, 1], [10, 1]], 151/3774873600],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 53232773/4892236185600],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 108289/113246208000],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 6626999/3669177139200],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 2804609/4892236185600],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 1682927/3057647616000],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 69678343/14676708556800],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 3026153/733835427840],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 1902433/815372697600],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 274487/326149079040],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 60016181/26091926323200],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 25399/30198988800],
[[[1, 11], [2, 8], [4, 1], [12, 1]], 7/707788800],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 30937267/6522981580800],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 697547/1019215872000],
[[[1, 11], [2, 8], [6, 1], [8, 1]], 24113/108716359680],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 1387/13589544960],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 237623017/117413668454400],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 23397443/17612050268160],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 2299621/1449551462400],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 1/7372800],
[[[1, 11], [3, 1], [4, 2], [8, 2]], 1/3397386240],
[[[1, 11], [3, 1], [4, 4], [5, 1]], 1/94371840],
[[[1, 11], [3, 2], [4, 3], [8, 1]], 7/1132462080],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 1/13271040],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 41/1911029760],
[[[1, 11], [4, 1], [5, 2], [8, 1]], 1/147456000],
[[[1, 11], [4, 3], [5, 1], [8, 1]], 1/943718400],
[[[1, 12], [2, 1], [3, 1], [4, 5]], 47/12079595520],
[[[1, 12], [2, 1], [3, 2], [4, 4]], 25/3623878656],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 97/110592000],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 161/5096079360],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 211/5096079360],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 551/1194393600],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 41/1911029760],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 181/2866544640],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 191/2866544640],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 11/393216000],
[[[1, 12], [2, 1], [4, 2], [8, 2]], 61/1087163596800],
[[[1, 12], [2, 1], [4, 4], [5, 1]], 7/3019898880],
[[[1, 12], [2, 1], [4, 4], [8, 1]], 31/72477573120],
[[[1, 12], [2, 1], [4, 5], [6, 1]], 1/36238786560],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 1/147456000],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 15313/54358179840],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 323/221184000],
[[[1, 12], [2, 3], [3, 1], [8, 2]], 37/3397386240],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 86989/122305904640],
[[[1, 12], [2, 3], [3, 2], [6, 3]], 1/1433272320],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 123833/91729428480],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 271/132710400],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 3623/25798901760],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 73/212336640],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 491/7166361600],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 8039/5733089280],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 1963/1911029760],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 107/88473600],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 437/90596966400],
[[[1, 12], [2, 3], [4, 1], [16, 1]], 1/1887436800],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 21571/33973862400],
[[[1, 12], [2, 3], [4, 3], [6, 2]], 41/40768634880],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 19153/289910292480],
[[[1, 12], [2, 3], [4, 3], [10, 1]], 7/11324620800],
[[[1, 12], [2, 3], [4, 3], [12, 1]], 1/471859200],
[[[1, 12], [2, 3], [4, 4], [6, 1]], 701/72477573120],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 11/147456000],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 4522081/1304596316160],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 109/15288238080],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 10953319/1956894474240],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 3947/1887436800],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 72461/152882380800],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 5549/9059696640],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 6497/25480396800],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 156631/40768634880],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 1892767/825564856320],
[[[1, 12], [2, 5], [4, 1], [6, 3]], 17/12230590464],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 1575863/543581798400],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 17213/362387865600],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 2845711/4348654387200],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 1951/33554432000],
[[[1, 12], [2, 5], [4, 2], [12, 1]], 41/5662310400],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 181603/434865438720],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 97/2831155200],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 509/2516582400],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 233/2359296000],
[[[1, 12], [2, 5], [6, 2], [8, 1]], 19/13589544960],
[[[1, 12], [2, 5], [6, 2], [10, 1]], 61/764411904000],
[[[1, 12], [2, 5], [8, 1], [10, 1]], 1/251658240],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 105728359/19568944742400],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 2631809/3057647616000],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 103601/244611809280],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 1648367/4892236185600],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 14183/67947724800],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 52638853/14676708556800],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 2394743/1223059046400],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 5930759/4076863488000],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 169927/978447237120],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 16506923/24461180928000],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 17231/90596966400],
[[[1, 12], [2, 7], [4, 1], [12, 1]], 1/2123366400],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 932759/724775731200],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 21809/67947724800],
[[[1, 12], [2, 7], [6, 1], [8, 1]], 6679/108716359680],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 48931/3057647616000],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 192662779/117413668454400],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 7518473/9784472371200],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 29805421/39137889484800],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 71/3397386240],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 23/73728000],
[[[1, 13], [2, 2], [3, 1], [8, 2]], 1/3397386240],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 929/13589544960],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 4201/30576476160],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 73/132710400],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 77/25798901760],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 491/11466178560],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 23/7166361600],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 15749/68797071360],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 2087/17199267840],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 47/353894400],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 61/543581798400],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 83/3774873600],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 7073/4348654387200],
[[[1, 13], [2, 2], [4, 4], [6, 1]], 59/217432719360],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 1/442368000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 11992813/19568944742400],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 101/458647142400],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 2801017/1956894474240],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 5549/5662310400],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 6421/152882380800],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 6497/40768634880],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 299/8493465600],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 765797/550376570880],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 234599/412782428160],
[[[1, 13], [2, 4], [4, 1], [6, 3]], 61/1834588569600],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 327593/543581798400],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 17873/9784472371200],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 152899/2609192632320],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 5393/2717908992000],
[[[1, 13], [2, 4], [4, 2], [12, 1]], 1/5662310400],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 63197/2174327193600],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 19/8493465600],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 151/3774873600],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 17/2359296000],
[[[1, 13], [2, 4], [6, 2], [8, 1]], 61/1223059046400],
[[[1, 13], [2, 4], [6, 2], [10, 1]], 1/764411904000],
[[[1, 13], [2, 4], [8, 1], [10, 1]], 61/339738624000],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 38483201/19568944742400],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 1613807/3057647616000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 228817/3669177139200],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 14183/108716359680],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 127/2516582400],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 1820977/978447237120],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 54643/81537269760],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 11681/18119393280],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 34711/1630745395200],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 6775711/48922361856000],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 119857/4076863488000],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 4536367/19568944742400],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 2141/22649241600],
[[[1, 13], [2, 6], [6, 1], [8, 1]], 48931/4892236185600],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 4417/3057647616000],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 69839141/73383542784000],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 11500357/36691771392000],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 3041881/12230590464000],
[[[1, 13], [3, 1], [4, 3], [8, 1]], 1/13589544960],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 7/707788800],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 23/11466178560],
[[[1, 14], [2, 1], [3, 1], [4, 4]], 41/217432719360],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 37/1327104000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 149/40768634880],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 179/30576476160],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 491/7166361600],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 23/11466178560],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 953/68797071360],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 23/4299816960],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 7/1769472000],
[[[1, 14], [2, 1], [4, 1], [8, 2]], 1/543581798400],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 7/11324620800],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 7/483183820800],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 1060819/19568944742400],
[[[1, 14], [2, 3], [3, 1], [6, 3]], 1/458647142400],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 76139/391378894848],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 6497/25480396800],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 4319/2751882854400],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 299/13589544960],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 1781/764411904000],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 30889/110075314176],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 3407/45864714240],
[[[1, 14], [2, 3], [4, 1], [6, 3]], 1/1834588569600],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 1951/33554432000],
[[[1, 14], [2, 3], [4, 2], [6, 2]], 307/9784472371200],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 37289/13045963161600],
[[[1, 14], [2, 3], [4, 2], [10, 1]], 7/301989888000],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 6233/6522981580800],
[[[1, 14], [2, 3], [5, 1], [6, 2]], 61/764411904000],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 1/251658240],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 61/212336640000],
[[[1, 14], [2, 3], [6, 2], [8, 1]], 1/1223059046400],
[[[1, 14], [2, 3], [8, 1], [10, 1]], 1/339738624000],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 9330313/19568944742400],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 14183/67947724800],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 1403/244611809280],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 127/4026531840],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 7291/1019215872000],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 205537/326149079040],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 1673801/11007531417600],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 121/671088640],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 7303/4892236185600],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 136633/6522981580800],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 2111/815372697600],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 492971/19568944742400],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 48931/3057647616000],
[[[1, 14], [2, 5], [6, 1], [8, 1]], 4417/4892236185600],
[[[1, 14], [2, 5], [6, 1], [10, 1]], 7/113246208000],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 7620659/18345885696000],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 1152319/12230590464000],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 1403527/24461180928000],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 3901/2174327193600],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 38359/3261490790400],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 299/8493465600],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 59/2751882854400],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 1781/1223059046400],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 41/764411904000],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 159383/5503765708800],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 6263/1375941427200],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 5393/2717908992000],
[[[1, 15], [2, 2], [4, 2], [6, 2]], 1/1956894474240],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 1079/13045963161600],
[[[1, 15], [2, 2], [4, 2], [10, 1]], 1/2717908992000],
[[[1, 15], [2, 2], [4, 3], [6, 1]], 7/724775731200],
[[[1, 15], [2, 2], [5, 1], [6, 2]], 1/764411904000],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 61/339738624000],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 1/212336640000],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 52891/782757789696],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 127/2516582400],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 119/407686348800],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 7291/1630745395200],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 191/339738624000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 1904963/14676708556800],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 44539/2201506283520],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 119857/4076863488000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 823/14676708556800],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 12661/6522981580800],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 89/815372697600],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 29389/19568944742400],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 4417/3057647616000],
[[[1, 15], [2, 4], [6, 1], [8, 1]], 7/181193932800],
[[[1, 15], [2, 4], [6, 1], [10, 1]], 1/1019215872000],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 1247801/9784472371200],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 6001/305764761600],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 255953/29353417113600],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 1/8493465600],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 41/1223059046400],
[[[1, 15], [4, 1], [5, 1], [8, 1]], 1/339738624000],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 281/6522981580800],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 23/120795955200],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 1781/764411904000],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 41/1223059046400],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 6563/5503765708800],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 41/458647142400],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 7/301989888000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 17/13045963161600],
[[[1, 16], [2, 1], [4, 3], [6, 1]], 1/6522981580800],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 1/339738624000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 96179/19568944742400],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 7291/1019215872000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 17/2201506283520],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 191/543581798400],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 67/3057647616000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 224153/14676708556800],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 589/407686348800],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 2111/815372697600],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 13/14676708556800],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 5033/52183852646400],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 7/4076863488000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 79/1565515579392],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 7/113246208000],
[[[1, 16], [2, 3], [6, 1], [8, 1]], 1/1630745395200],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 83251/3261490790400],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 28477/11007531417600],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 23489/29353417113600],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 967/6522981580800],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 191/339738624000],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 1/11007531417600],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 67/4892236185600],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 1/3057647616000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 13339/14676708556800],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 7/146767085568],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 89/815372697600],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 131/52183852646400],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 31/39137889484800],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 1/1019215872000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 742507/234827336908800],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 35497/176120502681600],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 1103/26091926323200],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 1/4892236185600],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 23/13045963161600],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 67/3057647616000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 1/4892236185600],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 289/14676708556800],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 1/1834588569600],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 7/4076863488000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 91/2348273369088000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 53209/234827336908800],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 167/19568944742400],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 103/78275778969600],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 29311/3522410053632000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 151/880602513408000],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 91/3522410053632000],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 421/3522410053632000],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/880602513408000],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/3522410053632000],
[[[2, 1], [4, 2], [8, 3], [16, 1]], 1/16384],
[[[2, 1], [4, 4], [8, 2], [12, 2]], 1/18432],
[[[2, 1], [4, 4], [8, 2], [20, 1]], 1/10240],
[[[2, 1], [4, 4], [12, 2], [20, 1]], 1/1440],
[[[2, 1], [4, 6], [8, 1], [16, 1]], 13/23592960],
[[[2, 1], [4, 6], [8, 2], [12, 1]], 5/589824],
[[[2, 1], [4, 6], [12, 1], [20, 1]], 1/9216],
[[[2, 3], [4, 3], [6, 2], [8, 3]], 1/1769472],
[[[2, 3], [4, 3], [8, 1], [12, 3]], 1/27648],
[[[2, 3], [4, 3], [8, 2], [16, 1]], 1/393216],
[[[2, 3], [4, 3], [8, 3], [10, 1]], 1/491520],
[[[2, 3], [4, 3], [8, 3], [12, 1]], 1/98304],
[[[2, 3], [4, 4], [6, 1], [12, 3]], 1/20736],
[[[2, 3], [4, 5], [8, 1], [12, 2]], 1/98304],
[[[2, 3], [4, 5], [8, 1], [20, 1]], 1/245760],
[[[2, 3], [4, 6], [6, 1], [8, 2]], 1/2359296],
[[[2, 3], [4, 6], [6, 1], [12, 2]], 1/73728],
[[[2, 3], [4, 6], [6, 1], [20, 1]], 1/184320],
[[[2, 3], [4, 7], [8, 1], [12, 1]], 1/2949120],
[[[2, 3], [4, 8], [6, 1], [12, 1]], 1/2211840],
[[[2, 5], [4, 2], [6, 2], [18, 2]], 1/27648],
[[[2, 5], [4, 2], [6, 4], [8, 2]], 1/2654208],
[[[2, 5], [4, 2], [6, 4], [12, 2]], 1/27648],
[[[2, 5], [4, 2], [8, 2], [10, 2]], 1/204800],
[[[2, 5], [4, 2], [8, 2], [12, 2]], 1/294912],
[[[2, 5], [4, 2], [8, 2], [20, 1]], 1/81920],
[[[2, 5], [4, 3], [6, 1], [8, 3]], 19/7077888],
[[[2, 5], [4, 4], [6, 2], [8, 2]], 1/524288],
[[[2, 5], [4, 4], [6, 2], [12, 2]], 43/2654208],
[[[2, 5], [4, 4], [6, 2], [20, 1]], 1/46080],
[[[2, 5], [4, 4], [8, 1], [16, 1]], 1/9437184],
[[[2, 5], [4, 4], [8, 2], [10, 1]], 1/1310720],
[[[2, 5], [4, 4], [8, 2], [12, 1]], 1/786432],
[[[2, 5], [4, 4], [12, 1], [20, 1]], 1/184320],
[[[2, 5], [4, 6], [6, 2], [12, 1]], 1/663552],
[[[2, 5], [4, 7], [6, 1], [8, 1]], 1/70778880],
[[[2, 5], [6, 2], [10, 1], [18, 2]], 1/2160],
[[[2, 5], [6, 2], [10, 2], [30, 1]], 1/600],
[[[2, 5], [6, 4], [10, 1], [30, 1]], 1/2160],
[[[2, 7], [4, 1], [6, 6], [8, 1]], 101/179159040],
[[[2, 7], [4, 1], [8, 1], [10, 3]], 1/192000],
[[[2, 7], [4, 1], [8, 2], [16, 1]], 1/1572864],
[[[2, 7], [4, 2], [6, 3], [8, 2]], 1/5308416],
[[[2, 7], [4, 2], [6, 3], [12, 2]], 1/110592],
[[[2, 7], [4, 2], [6, 4], [18, 1]], 1/110592],
[[[2, 7], [4, 3], [6, 4], [8, 1]], 1/10616832],
[[[2, 7], [4, 3], [8, 1], [10, 2]], 1/819200],
[[[2, 7], [4, 3], [8, 1], [12, 2]], 1/3538944],
[[[2, 7], [4, 3], [8, 1], [20, 1]], 1/983040],
[[[2, 7], [4, 4], [6, 1], [8, 2]], 1/6291456],
[[[2, 7], [4, 4], [6, 1], [12, 2]], 1/2654208],
[[[2, 7], [4, 4], [6, 1], [20, 1]], 1/737280],
[[[2, 7], [4, 5], [6, 2], [8, 1]], 1/37748736],
[[[2, 7], [4, 5], [8, 1], [10, 1]], 1/10485760],
[[[2, 7], [4, 5], [8, 1], [12, 1]], 1/14155776],
[[[2, 7], [4, 6], [6, 1], [12, 1]], 1/10616832],
[[[2, 7], [6, 3], [10, 1], [30, 1]], 1/8640],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 1/8640],
[[[2, 9], [4, 1], [6, 5], [8, 1]], 1/11943936],
[[[2, 9], [4, 2], [6, 2], [8, 2]], 7/283115520],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 1/1843200],
[[[2, 9], [4, 2], [6, 2], [12, 2]], 1/17694720],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/6635520],
[[[2, 9], [4, 2], [8, 1], [16, 1]], 1/75497472],
[[[2, 9], [4, 2], [8, 2], [10, 1]], 1/235929600],
[[[2, 9], [4, 3], [6, 3], [8, 1]], 1/21233664],
[[[2, 9], [4, 4], [6, 2], [10, 1]], 1/23592960],
[[[2, 9], [4, 5], [6, 1], [8, 1]], 1/150994944],
[[[2, 9], [6, 2], [10, 1], [30, 1]], 1/1382400],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 41/1911029760],
[[[2, 11], [4, 1], [8, 1], [10, 2]], 1/147456000],
[[[2, 11], [4, 2], [6, 1], [8, 2]], 1/3397386240],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 1/7372800],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 1/13271040],
[[[2, 11], [4, 3], [6, 2], [8, 1]], 7/1132462080],
[[[2, 11], [4, 3], [8, 1], [10, 1]], 1/943718400],
[[[2, 11], [4, 4], [6, 1], [10, 1]], 1/94371840],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 23/11466178560],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 7/707788800],
[[[2, 13], [4, 3], [6, 1], [8, 1]], 1/13589544960],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 41/1223059046400],
[[[2, 15], [4, 1], [8, 1], [10, 1]], 1/339738624000],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 1/8493465600],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 1/4892236185600],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 1/1179648],
[[[1, 1], [2, 2], [3, 1], [4, 9], [6, 1]], 1/318504960],
[[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 5/2048],
[[[1, 1], [2, 2], [4, 1], [8, 1], [32, 1]], 1/128],
[[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 115/24576],
[[[1, 1], [2, 2], [4, 1], [8, 3], [24, 1]], 1/192],
[[[1, 1], [2, 2], [4, 3], [5, 1], [12, 3]], 1/8640],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 3]], 1/1769472],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 3]], 11/27648],
[[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 139/393216],
[[[1, 1], [2, 2], [4, 3], [8, 2], [20, 1]], 1/5120],
[[[1, 1], [2, 2], [4, 3], [8, 3], [10, 1]], 1/491520],
[[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 7/98304],
[[[1, 1], [2, 2], [4, 3], [10, 1], [12, 3]], 1/8640],
[[[1, 1], [2, 2], [4, 3], [12, 2], [16, 1]], 1/2304],
[[[1, 1], [2, 2], [4, 3], [16, 1], [20, 1]], 1/1280],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 1/1179648],
[[[1, 1], [2, 2], [4, 4], [6, 1], [12, 3]], 1/20736],
[[[1, 1], [2, 2], [4, 5], [5, 1], [8, 2]], 1/983040],
[[[1, 1], [2, 2], [4, 5], [5, 1], [12, 2]], 1/30720],
[[[1, 1], [2, 2], [4, 5], [5, 1], [20, 1]], 1/76800],
[[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 97/294912],
[[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 13/786432],
[[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 23/49152],
[[[1, 1], [2, 2], [4, 5], [8, 2], [10, 1]], 1/983040],
[[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 49/589824],
[[[1, 1], [2, 2], [4, 5], [10, 1], [12, 2]], 1/30720],
[[[1, 1], [2, 2], [4, 5], [10, 1], [20, 1]], 1/76800],
[[[1, 1], [2, 2], [4, 5], [12, 1], [16, 1]], 5/73728],
[[[1, 1], [2, 2], [4, 5], [12, 1], [20, 1]], 13/15360],
[[[1, 1], [2, 2], [4, 6], [6, 1], [8, 2]], 1/2359296],
[[[1, 1], [2, 2], [4, 6], [6, 1], [12, 2]], 1/73728],
[[[1, 1], [2, 2], [4, 6], [6, 1], [20, 1]], 1/184320],
[[[1, 1], [2, 2], [4, 7], [5, 1], [12, 1]], 1/921600],
[[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 161/3932160],
[[[1, 1], [2, 2], [4, 7], [10, 1], [12, 1]], 1/921600],
[[[1, 1], [2, 2], [4, 8], [6, 1], [12, 1]], 1/2211840],
[[[1, 1], [2, 4], [3, 1], [4, 3], [12, 3]], 1/124416],
[[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 11/28311552],
[[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/442368],
[[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 1/1105920],
[[[1, 1], [2, 4], [3, 1], [4, 7], [6, 2]], 1/39813120],
[[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/13271040],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/1296],
[[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 1/5184],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 1/163840],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/589824],
[[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 1/9216],
[[[1, 1], [2, 4], [4, 2], [6, 4], [8, 2]], 1/2654208],
[[[1, 1], [2, 4], [4, 2], [6, 4], [12, 2]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 1/204800],
[[[1, 1], [2, 4], [4, 2], [8, 2], [12, 2]], 7/98304],
[[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 5/131072],
[[[1, 1], [2, 4], [4, 2], [8, 2], [20, 1]], 1/16384],
[[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/81920],
[[[1, 1], [2, 4], [4, 2], [8, 3], [12, 1]], 1/49152],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 61/7077888],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 1/41472],
[[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 1/884736],
[[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 11/4718592],
[[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 97/2654208],
[[[1, 1], [2, 4], [4, 4], [6, 2], [20, 1]], 1/46080],
[[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 7/98304],
[[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 37/9437184],
[[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 1/16384],
[[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 3/1310720],
[[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 139/2359296],
[[[1, 1], [2, 4], [4, 4], [12, 1], [20, 1]], 13/184320],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 73/9437184],
[[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 5/49152],
[[[1, 1], [2, 4], [4, 5], [6, 1], [16, 1]], 1/294912],
[[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 31/368640],
[[[1, 1], [2, 4], [4, 6], [5, 1], [8, 1]], 1/29491200],
[[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 1/663552],
[[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 1/29491200],
[[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 1/131072],
[[[1, 1], [2, 4], [4, 7], [5, 1], [6, 1]], 1/22118400],
[[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 143/70778880],
[[[1, 1], [2, 4], [4, 7], [6, 1], [10, 1]], 1/22118400],
[[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 23/2211840],
[[[1, 1], [2, 4], [5, 1], [8, 2], [16, 1]], 1/20480],
[[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/3456],
[[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/2160],
[[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 1/600],
[[[1, 1], [2, 4], [6, 4], [10, 1], [30, 1]], 1/2160],
[[[1, 1], [2, 4], [8, 2], [10, 1], [16, 1]], 1/20480],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 1/2359296],
[[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 143/3397386240],
[[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 1/254803968],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 1/2592],
[[[1, 1], [2, 6], [3, 1], [8, 2], [16, 1]], 1/294912],
[[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 7/41472],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 1/1327104],
[[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 101/179159040],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 1/192000],
[[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 1/102400],
[[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 9/524288],
[[[1, 1], [2, 6], [4, 1], [8, 3], [12, 1]], 1/196608],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/147456],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 7/5308416],
[[[1, 1], [2, 6], [4, 2], [6, 3], [12, 2]], 7/110592],
[[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/36864],
[[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/1990656],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 1/3932160],
[[[1, 1], [2, 6], [4, 3], [5, 1], [12, 2]], 1/1105920],
[[[1, 1], [2, 6], [4, 3], [5, 1], [20, 1]], 1/307200],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 1/147456],
[[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 71/1327104],
[[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 3], [6, 2], [20, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 1/3538944],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 3/819200],
[[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 23/3538944],
[[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 19/11796480],
[[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 1/65536],
[[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 7/1310720],
[[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 71/11796480],
[[[1, 1], [2, 6], [4, 3], [10, 1], [12, 2]], 1/1105920],
[[[1, 1], [2, 6], [4, 3], [10, 1], [20, 1]], 1/307200],
[[[1, 1], [2, 6], [4, 3], [12, 1], [16, 1]], 1/294912],
[[[1, 1], [2, 6], [4, 3], [12, 1], [20, 1]], 1/921600],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 259/18874368],
[[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 13/2654208],
[[[1, 1], [2, 6], [4, 4], [6, 1], [20, 1]], 13/737280],
[[[1, 1], [2, 6], [4, 4], [6, 3], [8, 1]], 1/3538944],
[[[1, 1], [2, 6], [4, 5], [5, 1], [12, 1]], 1/4423680],
[[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 911/113246208],
[[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 7/663552],
[[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 1/2097152],
[[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 11/3538944],
[[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 1/4423680],
[[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 533/1132462080],
[[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 13/10616832],
[[[1, 1], [2, 6], [6, 1], [8, 2], [16, 1]], 1/98304],
[[[1, 1], [2, 6], [6, 3], [10, 1], [30, 1]], 7/8640],
[[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 101/268738560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 31/15925248],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 1/15925248],
[[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 11/566231040],
[[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/1228800],
[[[1, 1], [2, 8], [3, 1], [4, 3], [12, 2]], 1/15925248],
[[[1, 1], [2, 8], [3, 1], [4, 3], [20, 1]], 1/4423680],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/14155776],
[[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 1/56623104],
[[[1, 1], [2, 8], [3, 1], [4, 5], [10, 1]], 1/15728640],
[[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 1/63700992],
[[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 1/150994944],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/86400],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 31/1244160],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1/2654208],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 1/345600],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 7/165888],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 7/11943936],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/1244160],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 97/283115520],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/614400],
[[[1, 1], [2, 8], [4, 2], [6, 2], [12, 2]], 31/17694720],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 25/31850496],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/2211840],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 17/2457600],
[[[1, 1], [2, 8], [4, 2], [8, 1], [12, 2]], 1/17694720],
[[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 73/75497472],
[[[1, 1], [2, 8], [4, 2], [8, 1], [20, 1]], 1/4915200],
[[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 31/235929600],
[[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 1/2359296],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 121/188743680],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/1228800],
[[[1, 1], [2, 8], [4, 3], [6, 1], [12, 2]], 7/26542080],
[[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 1/1179648],
[[[1, 1], [2, 8], [4, 3], [6, 1], [20, 1]], 7/7372800],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/2359296],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/2211840],
[[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 13/37748736],
[[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 1/4718592],
[[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 31/31457280],
[[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 31/70778880],
[[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 257/452984832],
[[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/15728640],
[[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 67/106168320],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 8], [6, 2], [10, 1], [30, 1]], 31/1382400],
[[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/829440],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/17915904],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/7962624],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 1/31850496],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 1/56623104],
[[[1, 1], [2, 10], [3, 1], [4, 4], [8, 1]], 1/2264924160],
[[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 1/226492416],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 1/345600],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/3317760],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/622080],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 7/141557760],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1/307200],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 551/1911029760],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 11/9953280],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 31/147456000],
[[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/188743680],
[[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 1/117964800],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 37/3397386240],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1/819200],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 191/637009920],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 1/1474560],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 37/377487360],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/1966080],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 11/314572800],
[[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/113246208],
[[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 13/188743680],
[[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 11/94371840],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/921600],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 41/2866544640],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/221184000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 7/424673280],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 7/1698693120],
[[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/1415577600],
[[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/9059696640],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/55296000],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 7/33177600],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1/1698693120],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 47/73728000],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 491/11466178560],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 161/398131200],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 361/10192158720],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 37/235929600],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 17/2831155200],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 13/4529848320],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 47/471859200],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 7/88473600],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 23/17199267840],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/5096079360],
[[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 1/815372697600],
[[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 1/20384317440],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1/398131200],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 1781/1223059046400],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 149/3185049600],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 61/339738624000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 341/815372697600],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 13/2831155200],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 1/1061683200],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 41/1834588569600],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/509607936000],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/1630745395200],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/127401984000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 67/4892236185600],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 281/509607936000],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/7338354278400],
[[[1, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/2304],
[[[1, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/1280],
[[[1, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/1536],
[[[1, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 5/73728],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 1/1179648],
[[[1, 2], [2, 1], [3, 1], [4, 4], [12, 3]], 1/20736],
[[[1, 2], [2, 1], [3, 1], [4, 6], [8, 2]], 1/2359296],
[[[1, 2], [2, 1], [3, 1], [4, 6], [12, 2]], 1/73728],
[[[1, 2], [2, 1], [3, 1], [4, 6], [20, 1]], 1/184320],
[[[1, 2], [2, 1], [3, 1], [4, 8], [12, 1]], 1/2211840],
[[[1, 2], [2, 1], [3, 1], [4, 9], [6, 1]], 1/318504960],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 3]], 1/1769472],
[[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 5/2048],
[[[1, 2], [2, 1], [4, 1], [8, 1], [32, 1]], 1/128],
[[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 115/24576],
[[[1, 2], [2, 1], [4, 1], [8, 3], [24, 1]], 1/192],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 3]], 1/491520],
[[[1, 2], [2, 1], [4, 3], [5, 1], [12, 3]], 1/8640],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 3]], 11/27648],
[[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 139/393216],
[[[1, 2], [2, 1], [4, 3], [8, 2], [20, 1]], 1/5120],
[[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 7/98304],
[[[1, 2], [2, 1], [4, 3], [10, 1], [12, 3]], 1/8640],
[[[1, 2], [2, 1], [4, 3], [12, 2], [16, 1]], 1/2304],
[[[1, 2], [2, 1], [4, 3], [16, 1], [20, 1]], 1/1280],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 1/1179648],
[[[1, 2], [2, 1], [4, 5], [5, 1], [8, 2]], 1/983040],
[[[1, 2], [2, 1], [4, 5], [5, 1], [12, 2]], 1/30720],
[[[1, 2], [2, 1], [4, 5], [5, 1], [20, 1]], 1/76800],
[[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 97/294912],
[[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 13/786432],
[[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 23/49152],
[[[1, 2], [2, 1], [4, 5], [8, 2], [10, 1]], 1/983040],
[[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 49/589824],
[[[1, 2], [2, 1], [4, 5], [10, 1], [12, 2]], 1/30720],
[[[1, 2], [2, 1], [4, 5], [10, 1], [20, 1]], 1/76800],
[[[1, 2], [2, 1], [4, 5], [12, 1], [16, 1]], 5/73728],
[[[1, 2], [2, 1], [4, 5], [12, 1], [20, 1]], 13/15360],
[[[1, 2], [2, 1], [4, 7], [5, 1], [12, 1]], 1/921600],
[[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 161/3932160],
[[[1, 2], [2, 1], [4, 7], [10, 1], [12, 1]], 1/921600],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 13/2359296],
[[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 7/124416],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 41/28311552],
[[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 7/442368],
[[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 7/1105920],
[[[1, 2], [2, 3], [3, 1], [4, 7], [6, 2]], 1/39813120],
[[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 1/70778880],
[[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 7/13271040],
[[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 73/212336640],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/1296],
[[[1, 2], [2, 3], [3, 2], [4, 2], [9, 2]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 5/4718592],
[[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 1/98304],
[[[1, 2], [2, 3], [3, 2], [4, 6], [6, 2]], 25/95551488],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 1/7776],
[[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 1/7776],
[[[1, 2], [2, 3], [3, 2], [9, 2], [10, 1]], 1/2160],
[[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/5184],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 3/163840],
[[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/102400],
[[[1, 2], [2, 3], [4, 2], [5, 2], [12, 2]], 1/28800],
[[[1, 2], [2, 3], [4, 2], [5, 2], [20, 1]], 1/8000],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/589824],
[[[1, 2], [2, 3], [4, 2], [6, 2], [18, 2]], 1/9216],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 1/102400],
[[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 53/147456],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 1663/131072],
[[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 9/40960],
[[[1, 2], [2, 3], [4, 2], [8, 2], [24, 1]], 1/384],
[[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 1/40960],
[[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 7/49152],
[[[1, 2], [2, 3], [4, 2], [10, 2], [12, 2]], 1/28800],
[[[1, 2], [2, 3], [4, 2], [10, 2], [20, 1]], 1/8000],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 3/262144],
[[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1/13824],
[[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 1/884736],
[[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 1/18432],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 71/3932160],
[[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 7/30720],
[[[1, 2], [2, 3], [4, 4], [5, 1], [16, 1]], 1/122880],
[[[1, 2], [2, 3], [4, 4], [5, 1], [20, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 4], [5, 2], [12, 1]], 1/115200],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 7/4718592],
[[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 1/32768],
[[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 359/294912],
[[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 163/393216],
[[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 111/81920],
[[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 77/3932160],
[[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 637/1179648],
[[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 7/30720],
[[[1, 2], [2, 3], [4, 4], [10, 1], [16, 1]], 1/122880],
[[[1, 2], [2, 3], [4, 4], [10, 1], [20, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 4], [10, 2], [12, 1]], 1/115200],
[[[1, 2], [2, 3], [4, 4], [12, 1], [16, 1]], 13/24576],
[[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 7/10240],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 83/9437184],
[[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 17/147456],
[[[1, 2], [2, 3], [4, 5], [6, 1], [16, 1]], 1/294912],
[[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 11/122880],
[[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 143/29491200],
[[[1, 2], [2, 3], [4, 6], [5, 1], [10, 1]], 73/73728000],
[[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1/40960],
[[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 143/29491200],
[[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 131/294912],
[[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 1/40960],
[[[1, 2], [2, 3], [4, 7], [5, 1], [6, 1]], 1/22118400],
[[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 143/70778880],
[[[1, 2], [2, 3], [4, 7], [6, 1], [10, 1]], 1/22118400],
[[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 3], [5, 1], [6, 2], [18, 2]], 1/2160],
[[[1, 2], [2, 3], [5, 1], [8, 2], [16, 1]], 3/20480],
[[[1, 2], [2, 3], [5, 2], [8, 1], [16, 1]], 1/12800],
[[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 1/3456],
[[[1, 2], [2, 3], [8, 1], [10, 2], [16, 1]], 1/12800],
[[[1, 2], [2, 3], [8, 2], [10, 1], [16, 1]], 3/20480],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 1/262144],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 203/56623104],
[[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 43/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 4], [16, 1]], 1/1769472],
[[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 11/737280],
[[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 1/132710400],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 151/79626240],
[[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 1867/3397386240],
[[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 1/132710400],
[[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 19/10616832],
[[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 41/1274019840],
[[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 1/10368],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 1/2592],
[[[1, 2], [2, 5], [3, 1], [8, 2], [16, 1]], 1/32768],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 1/663552],
[[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 1/4194304],
[[[1, 2], [2, 5], [3, 2], [4, 6], [6, 1]], 1/238878720],
[[[1, 2], [2, 5], [3, 2], [6, 1], [9, 2]], 1/31104],
[[[1, 2], [2, 5], [3, 2], [6, 4], [9, 1]], 1/10368],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 5/3888],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 1/81920],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 1/589824],
[[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 25/41472],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 1/1327104],
[[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/102400],
[[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 55/524288],
[[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 3/163840],
[[[1, 2], [2, 5], [4, 1], [8, 3], [12, 1]], 7/196608],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 29/1179648],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 7/1769472],
[[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 1/12288],
[[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 1/36864],
[[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 1/1990656],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 25/786432],
[[[1, 2], [2, 5], [4, 3], [5, 1], [12, 2]], 13/1105920],
[[[1, 2], [2, 5], [4, 3], [5, 1], [20, 1]], 13/307200],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/65536],
[[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 83/442368],
[[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 1/73728],
[[[1, 2], [2, 5], [4, 3], [6, 2], [20, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 11/10616832],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 3/819200],
[[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 305/3538944],
[[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 233/3932160],
[[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 7/65536],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 193/3932160],
[[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 2191/11796480],
[[[1, 2], [2, 5], [4, 3], [10, 1], [12, 2]], 13/1105920],
[[[1, 2], [2, 5], [4, 3], [10, 1], [20, 1]], 13/307200],
[[[1, 2], [2, 5], [4, 3], [12, 1], [16, 1]], 13/294912],
[[[1, 2], [2, 5], [4, 3], [12, 1], [20, 1]], 7/307200],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 151/2359296],
[[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 25/221184],
[[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 31/589824],
[[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 3/20480],
[[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 1/1179648],
[[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 7/6291456],
[[[1, 2], [2, 5], [4, 5], [5, 1], [12, 1]], 13/4423680],
[[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 475/56623104],
[[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 1/73728],
[[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 31/15728640],
[[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 505/7077888],
[[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 13/4423680],
[[[1, 2], [2, 5], [4, 6], [5, 1], [6, 1]], 61/44236800],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 8437/226492416],
[[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 61/44236800],
[[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 55/884736],
[[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [6, 1], [8, 2], [16, 1]], 5/98304],
[[[1, 2], [2, 5], [6, 3], [10, 1], [30, 1]], 1/960],
[[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 2891/268738560],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 3]], 1/1179648],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 1/288000],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 295/47775744],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 5/5308416],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 149/62914560],
[[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 1/409600],
[[[1, 2], [2, 7], [3, 1], [4, 3], [12, 2]], 19/15925248],
[[[1, 2], [2, 7], [3, 1], [4, 3], [20, 1]], 19/4423680],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 215/42467328],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 11/56623104],
[[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 227/452984832],
[[[1, 2], [2, 7], [3, 1], [4, 5], [10, 1]], 1/3145728],
[[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 19/63700992],
[[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 23201/101921587200],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 1/86400],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 5/13824],
[[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 31/1990656],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 31/1244160],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 31/2985984],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1793/95551488],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 41/849346560],
[[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 1/368640],
[[[1, 2], [2, 7], [3, 2], [4, 2], [12, 2]], 107/477757440],
[[[1, 2], [2, 7], [3, 2], [4, 2], [20, 1]], 1/1658880],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1/1327104],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 31/84934656],
[[[1, 2], [2, 7], [3, 2], [4, 4], [10, 1]], 1/2621440],
[[[1, 2], [2, 7], [3, 2], [4, 4], [12, 1]], 1/23887872],
[[[1, 2], [2, 7], [3, 2], [4, 5], [6, 1]], 1/9437184],
[[[1, 2], [2, 7], [3, 2], [5, 1], [15, 1]], 1/1382400],
[[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1/294912],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 19/518400],
[[[1, 2], [2, 7], [3, 2], [6, 3], [9, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1201/7464960],
[[[1, 2], [2, 7], [3, 2], [8, 1], [16, 1]], 1/2654208],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 13/2359296],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/288000],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 7/2654208],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1/345600],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 25/165888],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 5/3981312],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/1244160],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/6635520],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 133/235929600],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 1/512000],
[[[1, 2], [2, 7], [4, 2], [5, 1], [12, 2]], 1/5529600],
[[[1, 2], [2, 7], [4, 2], [5, 1], [16, 1]], 1/491520],
[[[1, 2], [2, 7], [4, 2], [5, 1], [20, 1]], 1/1536000],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 185/18874368],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 7/1843200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 151/10616832],
[[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 1/73728],
[[[1, 2], [2, 7], [4, 2], [6, 2], [20, 1]], 1/184320],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 115/31850496],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 11/6635520],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 59/2457600],
[[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 31/17694720],
[[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 29/2097152],
[[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 23/4915200],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 739/78643200],
[[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 7/737280],
[[[1, 2], [2, 7], [4, 2], [10, 1], [12, 2]], 1/5529600],
[[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 1/491520],
[[[1, 2], [2, 7], [4, 2], [10, 1], [20, 1]], 1/1536000],
[[[1, 2], [2, 7], [4, 2], [12, 1], [16, 1]], 1/1474560],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 919/20971520],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/409600],
[[[1, 2], [2, 7], [4, 3], [6, 1], [12, 2]], 13/2949120],
[[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 13/1179648],
[[[1, 2], [2, 7], [4, 3], [6, 1], [20, 1]], 13/819200],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 31/10616832],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/737280],
[[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 1/23592960],
[[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 7/5898240],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 19/58982400],
[[[1, 2], [2, 7], [4, 4], [5, 1], [12, 1]], 31/22118400],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 3443/113246208],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/1310720],
[[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 37/2654208],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 125/18874368],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 937/70778880],
[[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 31/22118400],
[[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 4571/452984832],
[[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 1/3145728],
[[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 299/35389440],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 1/144000],
[[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/518400],
[[[1, 2], [2, 7], [5, 1], [8, 1], [16, 1]], 1/2457600],
[[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 2], [2, 7], [6, 2], [8, 1], [16, 1]], 1/294912],
[[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [6, 2], [10, 1], [30, 1]], 1/6144],
[[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/829440],
[[[1, 2], [2, 7], [8, 1], [10, 1], [16, 1]], 1/2457600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 727/71663616],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 155/95551488],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 49/1132462080],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 31/7372800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [12, 2]], 1/79626240],
[[[1, 2], [2, 9], [3, 1], [4, 2], [16, 1]], 1/7077888],
[[[1, 2], [2, 9], [3, 1], [4, 2], [20, 1]], 1/22118400],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/884736],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 79/113246208],
[[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 659/6794772480],
[[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 59/94371840],
[[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 31/318504960],
[[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 1/7077888],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 1/46080],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 31/3317760],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/995328],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 29/2488320],
[[[1, 2], [2, 9], [3, 1], [8, 1], [16, 1]], 1/35389440],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/1492992],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 41/47775744],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 1/5308416],
[[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1/679477248],
[[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 1/37748736],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1/2073600],
[[[1, 2], [2, 9], [3, 2], [6, 2], [9, 1]], 1/6635520],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/6635520],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 19/3732480],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 97/141557760],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 13/921600],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 247/127401984],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 53/9953280],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 71/9830400],
[[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 19/62914560],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 31/117964800],
[[[1, 2], [2, 9], [4, 1], [8, 2], [12, 1]], 1/11796480],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/13271040],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 59/62914560],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 13/1843200],
[[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 1/26542080],
[[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 7/11796480],
[[[1, 2], [2, 9], [4, 2], [6, 1], [20, 1]], 1/7372800],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 1901/637009920],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 7/1658880],
[[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/943718400],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 253/141557760],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 19/5898240],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 193/58982400],
[[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 293/566231040],
[[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 1/94371840],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 2741/1132462080],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 11/10485760],
[[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 73/106168320],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 1/576000],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 1/1036800],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 7/921600],
[[[1, 2], [2, 9], [6, 1], [8, 1], [16, 1]], 1/11796480],
[[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 1/1474560],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 7/1658880],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 2483/2866544640],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 31/221184000],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 1703/3822059520],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 131/566231040],
[[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 37/13589544960],
[[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 11/471859200],
[[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 157/3019898880],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 17/18432000],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 7/53084160],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 311/99532800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 7/79626240],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 7/318504960],
[[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 1/424673280],
[[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 1/849346560],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 13/199065600],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 37/1698693120],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 457/73728000],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 19/31850496],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 1631/398131200],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 7/707788800],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 3/131072000],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 5977/10192158720],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 13/5529600],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 569/2831155200],
[[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/283115520],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 3323/13589544960],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 551/471859200],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 7/55296000],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 97/88473600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 229/2149908480],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 893/30576476160],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 61/815372697600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 31/8493465600],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 1/339738624],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 1/637009920],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 19/159252480],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 1/955514880],
[[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 1/1223059046400],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 1/6115295232],
[[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 1/2388787200],
[[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 1/339738624000],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 2089/40768634880],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 2489/3185049600],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 101/11324620800],
[[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/8493465600],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 13481/815372697600],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 2477/8493465600],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 1/663552000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 37/1061683200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 3467/1834588569600],
[[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/543581798400],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 61/509607936000],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 1433/4892236185600],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/203843174400],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 101/127401984000],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/305764761600],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 227/326149079040],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 11141/509607936000],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 11/917294284800],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 3/262144],
[[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1/13824],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 83/9437184],
[[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 17/147456],
[[[1, 3], [2, 2], [3, 1], [4, 5], [16, 1]], 1/294912],
[[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 11/122880],
[[[1, 3], [2, 2], [3, 1], [4, 7], [5, 1]], 1/22118400],
[[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 143/70778880],
[[[1, 3], [2, 2], [3, 1], [4, 7], [10, 1]], 1/22118400],
[[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 73/212336640],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/589824],
[[[1, 3], [2, 2], [3, 2], [4, 2], [9, 2]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 7/4718592],
[[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 1/32768],
[[[1, 3], [2, 2], [3, 2], [4, 6], [6, 2]], 25/95551488],
[[[1, 3], [2, 2], [3, 2], [4, 7], [6, 1]], 1/39813120],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 1/7776],
[[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 1/7776],
[[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [9, 2], [10, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/5184],
[[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 1/884736],
[[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 1/18432],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/1296],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 1/40960],
[[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 1/102400],
[[[1, 3], [2, 2], [4, 2], [5, 2], [12, 2]], 1/28800],
[[[1, 3], [2, 2], [4, 2], [5, 2], [20, 1]], 1/8000],
[[[1, 3], [2, 2], [4, 2], [6, 2], [18, 2]], 1/27648],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/102400],
[[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 53/147456],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 1663/131072],
[[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 9/40960],
[[[1, 3], [2, 2], [4, 2], [8, 2], [24, 1]], 1/384],
[[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 3/163840],
[[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 7/49152],
[[[1, 3], [2, 2], [4, 2], [10, 2], [12, 2]], 1/28800],
[[[1, 3], [2, 2], [4, 2], [10, 2], [20, 1]], 1/8000],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 13/2359296],
[[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 7/124416],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 77/3932160],
[[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 7/30720],
[[[1, 3], [2, 2], [4, 4], [5, 1], [16, 1]], 1/122880],
[[[1, 3], [2, 2], [4, 4], [5, 1], [20, 1]], 1/5120],
[[[1, 3], [2, 2], [4, 4], [5, 2], [12, 1]], 1/115200],
[[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 5/4718592],
[[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 1/98304],
[[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 359/294912],
[[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 163/393216],
[[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 111/81920],
[[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 71/3932160],
[[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 637/1179648],
[[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 7/30720],
[[[1, 3], [2, 2], [4, 4], [10, 1], [16, 1]], 1/122880],
[[[1, 3], [2, 2], [4, 4], [10, 1], [20, 1]], 1/5120],
[[[1, 3], [2, 2], [4, 4], [10, 2], [12, 1]], 1/115200],
[[[1, 3], [2, 2], [4, 4], [12, 1], [16, 1]], 13/24576],
[[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 7/10240],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 41/28311552],
[[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 7/442368],
[[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 7/1105920],
[[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 143/29491200],
[[[1, 3], [2, 2], [4, 6], [5, 1], [10, 1]], 73/73728000],
[[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 1/40960],
[[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 143/29491200],
[[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 131/294912],
[[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1/40960],
[[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 1/70778880],
[[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 7/13271040],
[[[1, 3], [2, 2], [5, 1], [6, 2], [18, 2]], 1/2160],
[[[1, 3], [2, 2], [5, 1], [8, 2], [16, 1]], 3/20480],
[[[1, 3], [2, 2], [5, 2], [8, 1], [16, 1]], 1/12800],
[[[1, 3], [2, 2], [8, 1], [10, 2], [16, 1]], 1/12800],
[[[1, 3], [2, 2], [8, 2], [10, 1], [16, 1]], 3/20480],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 5/262144],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 1679/56623104],
[[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 307/2654208],
[[[1, 3], [2, 4], [3, 1], [4, 4], [16, 1]], 7/1769472],
[[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 83/737280],
[[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 7/132710400],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 17/8847360],
[[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 5411/1698693120],
[[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 7/132710400],
[[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 139/10616832],
[[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 1819/212336640],
[[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [8, 2], [16, 1]], 1/12288],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 7/41472],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 197/3981312],
[[[1, 3], [2, 4], [3, 2], [4, 3], [20, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 1/663552],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 149/15925248],
[[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 29/37748736],
[[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 1/1990656],
[[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 7/238878720],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 7/31104],
[[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 5/3888],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/497664],
[[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 7/10616832],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/1296],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/1296],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 3/81920],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 3], [2, 4], [4, 1], [5, 2], [16, 1]], 1/12800],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 1/589824],
[[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 25/41472],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 911/1572864],
[[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 7/163840],
[[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 1/8192],
[[[1, 3], [2, 4], [4, 1], [10, 2], [16, 1]], 1/12800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 79/2359296],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 5/1769472],
[[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 1/36864],
[[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 1/110592],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 93/655360],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 29/184320],
[[[1, 3], [2, 4], [4, 3], [5, 1], [16, 1]], 1/8192],
[[[1, 3], [2, 4], [4, 3], [5, 1], [20, 1]], 13/51200],
[[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 7/153600],
[[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 3], [5, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 23/1769472],
[[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 731/3981312],
[[[1, 3], [2, 4], [4, 3], [6, 2], [20, 1]], 7/138240],
[[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/1179648],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 23/491520],
[[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 271/393216],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 9965/1769472],
[[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 139/196608],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 101/655360],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 4111/3538944],
[[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 29/184320],
[[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 1/8192],
[[[1, 3], [2, 4], [4, 3], [10, 1], [20, 1]], 13/51200],
[[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 3], [12, 1], [16, 1]], 7/16384],
[[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 5/55296],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 361/4718592],
[[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 23/110592],
[[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 11/196608],
[[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 7/30720],
[[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 13/10616832],
[[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 547/6291456],
[[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 73/2457600],
[[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 101/737280],
[[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 17/18874368],
[[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 7/1990656],
[[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 275/3145728],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 6101/4718592],
[[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 101/737280],
[[[1, 3], [2, 4], [4, 6], [5, 1], [6, 1]], 7/4915200],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 67027/1698693120],
[[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 7/4915200],
[[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/8640],
[[[1, 3], [2, 4], [6, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 3], [2, 4], [6, 3], [10, 1], [30, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 31/2985984],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 1/131072],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 391/47775744],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 47/15925248],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 15727/566231040],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/409600],
[[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 427/26542080],
[[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 11/1179648],
[[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 89/2457600],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 5/786432],
[[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 41/141557760],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 275/10616832],
[[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 4225/452984832],
[[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 61/70778880],
[[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 1207/106168320],
[[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 58217/33973862400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 31/1244160],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 3]], 1/294912],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 7/13824],
[[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 31/1990656],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1387/17915904],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 4579/95551488],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 551/849346560],
[[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 7/1843200],
[[[1, 3], [2, 6], [3, 2], [4, 2], [12, 2]], 1877/477757440],
[[[1, 3], [2, 6], [3, 2], [4, 2], [20, 1]], 13/1658880],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 323/7962624],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 89/28311552],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 191/113246208],
[[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 29/23592960],
[[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 13/23887872],
[[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 511/509607936],
[[[1, 3], [2, 6], [3, 2], [5, 1], [15, 1]], 31/1382400],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 5/294912],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 19/518400],
[[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 7/41472],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 13/41472],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1201/11943936],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1201/7464960],
[[[1, 3], [2, 6], [3, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 3], [2, 6], [3, 2], [8, 1], [16, 1]], 13/2654208],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1489/17915904],
[[[1, 3], [2, 6], [3, 3], [4, 1], [10, 2]], 1/345600],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 179/7962624],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 67/23887872],
[[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 7/6635520],
[[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/1572864],
[[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/86400],
[[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 163/622080],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 1/1244160],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 55/2359296],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 25/165888],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/1327104],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 1/2211840],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 19123/235929600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 3/512000],
[[[1, 3], [2, 6], [4, 2], [5, 1], [12, 2]], 7/1843200],
[[[1, 3], [2, 6], [4, 2], [5, 1], [16, 1]], 13/491520],
[[[1, 3], [2, 6], [4, 2], [5, 1], [20, 1]], 7/512000],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 1589/56623104],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 1/368640],
[[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 377/10616832],
[[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 1/24576],
[[[1, 3], [2, 6], [4, 2], [6, 2], [20, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 155/31850496],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/737280],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 59/2457600],
[[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 883/53084160],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 619/6291456],
[[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 379/14745600],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 2903/26214400],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 671/5898240],
[[[1, 3], [2, 6], [4, 2], [10, 1], [12, 2]], 7/1843200],
[[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 13/491520],
[[[1, 3], [2, 6], [4, 2], [10, 1], [20, 1]], 7/512000],
[[[1, 3], [2, 6], [4, 2], [12, 1], [16, 1]], 7/491520],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 1/2211840],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 19379/113246208],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/409600],
[[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 701/15925248],
[[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 3/32768],
[[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 413/4423680],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 29/3538944],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 13/6635520],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/4718592],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 2173/94371840],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 7/2359296],
[[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 137/7372800],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 2839/56623104],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 17/11796480],
[[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 89/2654208],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 1577/47185920],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 34921/212336640],
[[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 137/7372800],
[[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 451/47185920],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 66305/452984832],
[[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 239/23592960],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 7325/63700992],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 1/144000],
[[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 1/829440],
[[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/518400],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 3/32000],
[[[1, 3], [2, 6], [5, 1], [8, 1], [16, 1]], 7/819200],
[[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 1/16384],
[[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 1/12800],
[[[1, 3], [2, 6], [6, 2], [8, 1], [16, 1]], 5/294912],
[[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 3], [2, 6], [6, 2], [10, 1], [30, 1]], 11/30720],
[[[1, 3], [2, 6], [8, 1], [10, 1], [16, 1]], 7/819200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 301/7962624],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 899/95551488],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1357/226492416],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 23/1474560],
[[[1, 3], [2, 8], [3, 1], [4, 2], [12, 2]], 1/2949120],
[[[1, 3], [2, 8], [3, 1], [4, 2], [16, 1]], 19/7077888],
[[[1, 3], [2, 8], [3, 1], [4, 2], [20, 1]], 1/819200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 331/15925248],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 773/113246208],
[[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 24419/6794772480],
[[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 37/10485760],
[[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 199/106168320],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1751/679477248],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1/622080],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1/884736],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 7/230400],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 5/73728],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 29/3981312],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 13/829440],
[[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 1/307200],
[[[1, 3], [2, 8], [3, 1], [8, 1], [16, 1]], 1/1310720],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 10271/143327232],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 41/424673280],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 13/2764800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [16, 1]], 1/2654208],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 667/47775744],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 751/106168320],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 2711/10192158720],
[[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 41/17694720],
[[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 1/3981312],
[[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 437/339738624],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/82944],
[[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 31/6635520],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 31/6635520],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 23/2985984],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 151/3732480],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 83/17915904],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 5/7962624],
[[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/637009920],
[[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 7/95551488],
[[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/663552],
[[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 1/622080],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 11/9953280],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 43/117964800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 19/1536000],
[[[1, 3], [2, 8], [4, 1], [5, 1], [16, 1]], 1/2457600],
[[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/307200],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 65/9437184],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 43/2764800],
[[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/294912],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 665/127401984],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 61/9953280],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 233/9830400],
[[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 143/28311552],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 229/39321600],
[[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 1/491520],
[[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 1/2457600],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1/1474560],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 21017/566231040],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 23/26542080],
[[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 13/1310720],
[[[1, 3], [2, 8], [4, 2], [6, 1], [20, 1]], 23/7372800],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 1381/127401984],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 13/1105920],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 1/1966080],
[[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 3137/943718400],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 59/14745600],
[[[1, 3], [2, 8], [4, 3], [5, 1], [12, 1]], 7/7372800],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 1145/28311552],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 79/8847360],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 1/147456],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 13/589824],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 311/28311552],
[[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 7/7372800],
[[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 11/94371840],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 2731/83886080],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 397/94371840],
[[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 223/21233664],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 7/576000],
[[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 1/1658880],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 7/1036800],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 1/102400],
[[[1, 3], [2, 8], [6, 1], [8, 1], [16, 1]], 23/11796480],
[[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 7/1474560],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 2513/318504960],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 1/35389440],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 43/14745600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [16, 1]], 1/35389440],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 277/47775744],
[[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1/1415577600],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 3223/849346560],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 161/503316480],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 667/353894400],
[[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 7/106168320],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 9943/9059696640],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 7/33177600],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 1/141557760],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 3/409600],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 311/159252480],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 11/737280],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 4943/1433272320],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 223/159252480],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 41/10192158720],
[[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 157/2123366400],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 421/1698693120],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 31/318504960],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 523/199065600],
[[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 1/265420800],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 43/477757440],
[[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 1/398131200],
[[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 1/254803968],
[[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/99532800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 161/398131200],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 37/62914560],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 829/44236800],
[[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 1/11796480],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 611/159252480],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 209/15925248],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 37/235929600],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 17/2831155200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 691/1179648000],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 1903/424673280],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 29/2211840],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 689/176947200],
[[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 1/6291456],
[[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 47/471859200],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 18983/4529848320],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 749/117964800],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 1/3932160],
[[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 7/88473600],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 97/55296000],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/4608000],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 29/5898240],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 193/119439360],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 25943/30576476160],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 1/201326592],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 209/1698693120],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 3863/20384317440],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 1/398131200],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 19/254803968],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 43/29491200],
[[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 1/353894400],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 109/1433272320],
[[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 61/1223059046400],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 13/3185049600],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 373/30576476160],
[[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 1/3822059520],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 11/477757440],
[[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 1/5733089280],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 149/3185049600],
[[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 61/339738624000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 29/1769472000],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 8803/13589544960],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 1279/265420800],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 2333/11324620800],
[[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 1/2831155200],
[[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 13/2831155200],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 29281/81537269760],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 9181/2831155200],
[[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 1/1061683200],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 37/663552000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 23/58982400],
[[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/509607936000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 3101/50960793600],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 37/326149079040],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 73/16986931200],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 65663/4892236185600],
[[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/127401984000],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 101/203843174400],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 97/4246732800],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 887/1834588569600],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 281/509607936000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 29573/1630745395200],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 14419/50960793600],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 433/815372697600],
[[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/294912],
[[[1, 3], [3, 1], [4, 4], [8, 2], [12, 1]], 1/73728],
[[[1, 3], [3, 1], [4, 4], [12, 1], [20, 1]], 1/5760],
[[[1, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/3456],
[[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/12288],
[[[1, 3], [4, 1], [8, 2], [12, 1], [16, 1]], 1/12288],
[[[1, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/7680],
[[[1, 3], [4, 3], [8, 1], [12, 1], [24, 1]], 1/12288],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 61/7077888],
[[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 1/41472],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 73/9437184],
[[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 5/49152],
[[[1, 4], [2, 1], [3, 1], [4, 5], [16, 1]], 1/294912],
[[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 31/368640],
[[[1, 4], [2, 1], [3, 1], [4, 7], [5, 1]], 1/22118400],
[[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 143/70778880],
[[[1, 4], [2, 1], [3, 1], [4, 7], [10, 1]], 1/22118400],
[[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 23/2211840],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/589824],
[[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 11/4718592],
[[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 97/2654208],
[[[1, 4], [2, 1], [3, 2], [4, 4], [20, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 1/663552],
[[[1, 4], [2, 1], [3, 2], [4, 7], [6, 1]], 1/39813120],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/2160],
[[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 1/600],
[[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/3456],
[[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 1/5184],
[[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 1/884736],
[[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/1296],
[[[1, 4], [2, 1], [3, 4], [4, 2], [8, 2]], 1/2654208],
[[[1, 4], [2, 1], [3, 4], [4, 2], [12, 2]], 1/27648],
[[[1, 4], [2, 1], [3, 4], [5, 1], [15, 1]], 1/2160],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/81920],
[[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 1/204800],
[[[1, 4], [2, 1], [4, 2], [8, 2], [12, 2]], 7/98304],
[[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 5/131072],
[[[1, 4], [2, 1], [4, 2], [8, 2], [20, 1]], 1/16384],
[[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 1/163840],
[[[1, 4], [2, 1], [4, 2], [8, 3], [12, 1]], 1/49152],
[[[1, 4], [2, 1], [4, 3], [6, 1], [12, 3]], 1/124416],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 3/1310720],
[[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 7/98304],
[[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 37/9437184],
[[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 1/16384],
[[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 139/2359296],
[[[1, 4], [2, 1], [4, 4], [12, 1], [20, 1]], 13/184320],
[[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 11/28311552],
[[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/442368],
[[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 1/1105920],
[[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 1/29491200],
[[[1, 4], [2, 1], [4, 6], [8, 1], [10, 1]], 1/29491200],
[[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 1/131072],
[[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/13271040],
[[[1, 4], [2, 1], [5, 1], [8, 2], [16, 1]], 1/20480],
[[[1, 4], [2, 1], [8, 2], [10, 1], [16, 1]], 1/20480],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 79/2359296],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 361/4718592],
[[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 23/110592],
[[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 11/196608],
[[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 7/30720],
[[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 7/4915200],
[[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 7/238878720],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 67027/1698693120],
[[[1, 4], [2, 3], [3, 1], [4, 6], [10, 1]], 7/4915200],
[[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 1819/212336640],
[[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 7/31104],
[[[1, 4], [2, 3], [3, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 1/589824],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 25/41472],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 23/1769472],
[[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 731/3981312],
[[[1, 4], [2, 3], [3, 2], [4, 3], [20, 1]], 7/138240],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 149/15925248],
[[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 17/18874368],
[[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 7/1990656],
[[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 17/8847360],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 1/3456],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 5/1769472],
[[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 1/36864],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/497664],
[[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 1/663552],
[[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 13/10616832],
[[[1, 4], [2, 3], [3, 3], [5, 1], [15, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/1296],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/1296],
[[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 1/110592],
[[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/1179648],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 5/3888],
[[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 7/163840],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [16, 1]], 1/12800],
[[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 7/41472],
[[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 911/1572864],
[[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 3/81920],
[[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 1/8192],
[[[1, 4], [2, 3], [4, 1], [10, 2], [16, 1]], 1/12800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 5/262144],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 101/655360],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 29/184320],
[[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 1/8192],
[[[1, 4], [2, 3], [4, 3], [5, 1], [20, 1]], 13/51200],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 23/491520],
[[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/76800],
[[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/221184],
[[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 197/3981312],
[[[1, 4], [2, 3], [4, 3], [6, 2], [20, 1]], 1/138240],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 7/153600],
[[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 271/393216],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 9965/1769472],
[[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 139/196608],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 93/655360],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 4111/3538944],
[[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 29/184320],
[[[1, 4], [2, 3], [4, 3], [10, 1], [16, 1]], 1/8192],
[[[1, 4], [2, 3], [4, 3], [10, 1], [20, 1]], 13/51200],
[[[1, 4], [2, 3], [4, 3], [10, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 3], [12, 1], [16, 1]], 7/16384],
[[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 5/55296],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 1679/56623104],
[[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 307/2654208],
[[[1, 4], [2, 3], [4, 4], [6, 1], [16, 1]], 7/1769472],
[[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 83/737280],
[[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 7/10616832],
[[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 275/3145728],
[[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 73/2457600],
[[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 101/737280],
[[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 29/37748736],
[[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 1/1990656],
[[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 547/6291456],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 6101/4718592],
[[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 101/737280],
[[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 7/132710400],
[[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 5411/1698693120],
[[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 7/132710400],
[[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 139/10616832],
[[[1, 4], [2, 3], [6, 1], [8, 2], [16, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 59/2359296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 7/1769472],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 61/15925248],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 70777/566231040],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/1228800],
[[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 2137/26542080],
[[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 83/1179648],
[[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 113/819200],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 205/63700992],
[[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 269/141557760],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 2429/84934656],
[[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 25627/452984832],
[[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 157/70778880],
[[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 7957/106168320],
[[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 4224679/61152952320],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 31/1244160],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 1/73728],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 25/124416],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1201/17915904],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 4595/95551488],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 503/56623104],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/614400],
[[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 77/3538944],
[[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 1/221184],
[[[1, 4], [2, 5], [3, 2], [4, 2], [20, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 397/7962624],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/2621440],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 16013/127401984],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 3185/339738624],
[[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 17/11796480],
[[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 7/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 1921/509607936],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1201/7464960],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/144000],
[[[1, 4], [2, 5], [3, 2], [5, 1], [15, 1]], 1/6144],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/28800],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 13/165888],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1201/11943936],
[[[1, 4], [2, 5], [3, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 4], [2, 5], [3, 2], [8, 1], [16, 1]], 1/49152],
[[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 3445/17915904],
[[[1, 4], [2, 5], [3, 3], [4, 1], [10, 2]], 1/345600],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 4747/23887872],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 307/23887872],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 19/7077888],
[[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 13/6635520],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 317/127401984],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/25920],
[[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 1/86400],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 17/41472],
[[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 199/995328],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 187/622080],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 163/1492992],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 67/3538944],
[[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/737280],
[[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 7/3981312],
[[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 1/124416],
[[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 1201/7464960],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 1/1244160],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 85/2359296],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/442368],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 7/165888],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 11/6635520],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 13577/47185920],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 103/512000],
[[[1, 4], [2, 5], [4, 2], [5, 1], [12, 2]], 5/331776],
[[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 13/81920],
[[[1, 4], [2, 5], [4, 2], [5, 1], [20, 1]], 1/18432],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/1843200],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 3/25600],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 101/512000],
[[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 1/38400],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 169/6291456],
[[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 1307/31850496],
[[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 7/221184],
[[[1, 4], [2, 5], [4, 2], [6, 2], [20, 1]], 13/276480],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 65/31850496],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 61/491520],
[[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 2813/53084160],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 23303/37748736],
[[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 271/4915200],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 14567/47185920],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 3751/7077888],
[[[1, 4], [2, 5], [4, 2], [10, 1], [12, 2]], 5/331776],
[[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 13/81920],
[[[1, 4], [2, 5], [4, 2], [10, 1], [20, 1]], 1/18432],
[[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 1/38400],
[[[1, 4], [2, 5], [4, 2], [12, 1], [16, 1]], 25/442368],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/737280],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 25765/113246208],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/1228800],
[[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 1679/15925248],
[[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 7/49152],
[[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 163/884736],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 59/7077888],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 7/6635520],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/1310720],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 28849/94371840],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 2143/9830400],
[[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1357/6635520],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 4717/169869312],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 29/23592960],
[[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 97/3981312],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 2941/9437184],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 282743/212336640],
[[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1357/6635520],
[[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 527/47185920],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 83617/452984832],
[[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 271/23592960],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 10895/63700992],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 1/368640],
[[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 1/829440],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/4000],
[[[1, 4], [2, 5], [5, 1], [8, 1], [16, 1]], 5/147456],
[[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 51/204800],
[[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/144000],
[[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 3/12800],
[[[1, 4], [2, 5], [6, 2], [8, 1], [16, 1]], 13/442368],
[[[1, 4], [2, 5], [6, 2], [10, 1], [30, 1]], 11/30720],
[[[1, 4], [2, 5], [8, 1], [10, 1], [16, 1]], 5/147456],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 935/23887872],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 271/11943936],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 97717/1698693120],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/57600],
[[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 637/238878720],
[[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 89/3932160],
[[[1, 4], [2, 7], [3, 1], [4, 2], [20, 1]], 637/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 455/10616832],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 593/283115520],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 9841/113246208],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 55729/1358954496],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 2567/283115520],
[[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 4325/191102976],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 12781/679477248],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 29/2488320],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 1/737280],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 13/576000],
[[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/57600],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 19/1769472],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1/82944],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 11/73728],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 13/1327104],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 43/7464960],
[[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 1/102400],
[[[1, 4], [2, 7], [3, 1], [8, 1], [16, 1]], 637/106168320],
[[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 1/294912],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 35969/143327232],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 551/424673280],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 43/2764800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [16, 1]], 13/2654208],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 2731/23887872],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 5311/106168320],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 7993/1274019840],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 169/17694720],
[[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 13/3981312],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 12067/1019215872],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 73/3732480],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 5/5308416],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 7/230400],
[[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 5/147456],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 5/147456],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 143/2985984],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 31/414720],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 4789/35831808],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 125/5308416],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 31/637009920],
[[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 43/13271040],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 53/11943936],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1/207360],
[[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 31/3317760],
[[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 29/1990656],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 13/414720],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/1492992],
[[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/1911029760],
[[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/10616832],
[[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 1/7464960],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 53/9953280],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 4033/117964800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 23/307200],
[[[1, 4], [2, 7], [4, 1], [5, 1], [16, 1]], 7/819200],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/147456000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 13/307200],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 557/28311552],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 13/2764800],
[[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 5/294912],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 641/127401984],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 19/9953280],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 233/9830400],
[[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 827/28311552],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 1999/39321600],
[[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 221/17694720],
[[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 7/819200],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 7/1658880],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/7372800],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 14899/94371840],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 23/1474560],
[[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 377/79626240],
[[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 413/7077888],
[[[1, 4], [2, 7], [4, 2], [6, 1], [20, 1]], 377/22118400],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 2275/127401984],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 151/13271040],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 19/5898240],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 3427/58982400],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 41/983040],
[[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 107/7372800],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 11761/113246208],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 119/8847360],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 11/442368],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 45127/471859200],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 3175/28311552],
[[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 107/7372800],
[[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 359/18874368],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 1604293/6794772480],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 2447/94371840],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 30767/318504960],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 7/1474560],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 13/192000],
[[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 7/1658880],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/115200],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 31/576000],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/307200],
[[[1, 4], [2, 7], [6, 1], [8, 1], [16, 1]], 377/35389440],
[[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 1/98304],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 1/552960],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 4721/191102976],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 247/94371840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 21/1638400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [16, 1]], 1/1310720],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 1919/47775744],
[[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 11/471859200],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 11713/424673280],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 101879/13589544960],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 4049/353894400],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 149/106168320],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 57847/5435817984],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 311/99532800],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 43/28311552],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 577/33177600],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 11/1179648],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 1513/59719680],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 44777/1433272320],
[[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/424673280],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 2977/127401984],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 7097/10192158720],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 209/66355200],
[[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 1/7962624],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 215/37748736],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 49/199065600],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 101/165888000],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 937/318504960],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 449/22118400],
[[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 31/265420800],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 275/95551488],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/424673280],
[[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 31/398131200],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 121/254803968],
[[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/159252480],
[[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 17/33177600],
[[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/238878720],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 1631/398131200],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 1271/113246208],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 1027/44236800],
[[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 23/11796480],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 1333/127401984],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 1339/79626240],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 13/5529600],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 5657/2831155200],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 3149/294912000],
[[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 1/7372800],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 12649/424673280],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 2201/70778880],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 1/884736],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 149/7077888],
[[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 37/13271040],
[[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 1/7372800],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 551/471859200],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 18241/452984832],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 6709/353894400],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 163/35389440],
[[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 97/88473600],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 49/3686400],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 47/9216000],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 137/17694720],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 701/70778880],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 31/8493465600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 17299/2038431744],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 6931/27179089920],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 15503/8493465600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 1/106168320],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 60607/20384317440],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 19/159252480],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 11/221184000],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 43/47185920],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 577/79626240],
[[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 11/117964800],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 4913/2866544640],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 161/40768634880],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 433/3185049600],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 3427/6115295232],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 1/2388787200],
[[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 11/764411904],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 11/22118400],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 19/1433272320],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 2489/3185049600],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 101/11324620800],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 193/353894400],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 98503/27179089920],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 3649/265420800],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 38821/22649241600],
[[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 41/2831155200],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 2477/8493465600],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 290317/81537269760],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 4069/283115520],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 1/35389440],
[[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 37/1061683200],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 7/9216000],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 323/176947200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 61/509607936000],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 46483/61152952320],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 17557/4892236185600],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 161/1887436800],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 1382837/4892236185600],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 101/127401984000],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 97/6794772480],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 9937/38220595200],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 33641/1834588569600],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 11141/509607936000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 67963/326149079040],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 86467/50960793600],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 29549/2446118092800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 29/1179648],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 151/2359296],
[[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 25/221184],
[[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 31/589824],
[[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 3/20480],
[[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 61/44236800],
[[[1, 5], [2, 2], [3, 1], [4, 6], [6, 2]], 1/238878720],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 8437/226492416],
[[[1, 5], [2, 2], [3, 1], [4, 6], [10, 1]], 61/44236800],
[[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 55/884736],
[[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 41/1274019840],
[[[1, 5], [2, 2], [3, 1], [6, 2], [18, 2]], 1/31104],
[[[1, 5], [2, 2], [3, 1], [8, 2], [16, 1]], 5/98304],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 1/589824],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 25/41472],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/65536],
[[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 83/442368],
[[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 1/73728],
[[[1, 5], [2, 2], [3, 2], [4, 3], [20, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 475/56623104],
[[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 1/73728],
[[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 151/79626240],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 1/10368],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 7/1769472],
[[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 1/12288],
[[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 1/663552],
[[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 1/1179648],
[[[1, 5], [2, 2], [3, 3], [5, 1], [15, 1]], 1/960],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 1/1327104],
[[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 11/10616832],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 5/3888],
[[[1, 5], [2, 2], [3, 4], [6, 2], [18, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 1/1990656],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 1/2592],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 3/163840],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/102400],
[[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 55/524288],
[[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 1/81920],
[[[1, 5], [2, 2], [4, 1], [8, 3], [12, 1]], 7/196608],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 1/262144],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 193/3932160],
[[[1, 5], [2, 2], [4, 3], [5, 1], [12, 2]], 13/1105920],
[[[1, 5], [2, 2], [4, 3], [5, 1], [20, 1]], 13/307200],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 3/819200],
[[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 305/3538944],
[[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 233/3932160],
[[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 7/65536],
[[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 25/786432],
[[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 2191/11796480],
[[[1, 5], [2, 2], [4, 3], [10, 1], [12, 2]], 13/1105920],
[[[1, 5], [2, 2], [4, 3], [10, 1], [20, 1]], 13/307200],
[[[1, 5], [2, 2], [4, 3], [12, 1], [16, 1]], 13/294912],
[[[1, 5], [2, 2], [4, 3], [12, 1], [20, 1]], 7/307200],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 203/56623104],
[[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 43/2654208],
[[[1, 5], [2, 2], [4, 4], [6, 1], [16, 1]], 1/1769472],
[[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 11/737280],
[[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 31/15728640],
[[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 13/4423680],
[[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 1/4194304],
[[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 7/6291456],
[[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 505/7077888],
[[[1, 5], [2, 2], [4, 5], [10, 1], [12, 1]], 13/4423680],
[[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 1/132710400],
[[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 1867/3397386240],
[[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 1/132710400],
[[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 19/10616832],
[[[1, 5], [2, 2], [6, 1], [8, 2], [16, 1]], 1/32768],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 85/2359296],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/1228800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 7/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 25765/113246208],
[[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 1679/15925248],
[[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 7/49152],
[[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 163/884736],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 317/127401984],
[[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 271/23592960],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 1921/509607936],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 83617/452984832],
[[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 527/47185920],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 10895/63700992],
[[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 4224679/61152952320],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 1/86400],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 1/73728],
[[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 1/124416],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 67/3538944],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 169/6291456],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/1843200],
[[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 1307/31850496],
[[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 7/221184],
[[[1, 5], [2, 4], [3, 2], [4, 2], [20, 1]], 13/276480],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 307/23887872],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 29/23592960],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 16013/127401984],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 4717/169869312],
[[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/1310720],
[[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 97/3981312],
[[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 2429/84934656],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 1201/7464960],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/144000],
[[[1, 5], [2, 4], [3, 2], [5, 1], [15, 1]], 11/30720],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 1/28800],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 13/165888],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 17/41472],
[[[1, 5], [2, 4], [3, 2], [8, 1], [16, 1]], 13/442368],
[[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 163/1492992],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/442368],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 4747/23887872],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 7/6635520],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 397/7962624],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 59/7077888],
[[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/737280],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 205/63700992],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 187/622080],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 1/221184],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 199/995328],
[[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 3445/17915904],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 7/165888],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 4595/95551488],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 65/31850496],
[[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 11/6635520],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 61/15925248],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 25/124416],
[[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1201/11943936],
[[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1201/7464960],
[[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 1/829440],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1201/17915904],
[[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 1/1244160],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 7/1769472],
[[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 31/1244160],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 3]], 1/345600],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 59/2359296],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/737280],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 14567/47185920],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 101/512000],
[[[1, 5], [2, 4], [4, 2], [5, 1], [12, 2]], 5/331776],
[[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 13/81920],
[[[1, 5], [2, 4], [4, 2], [5, 1], [20, 1]], 1/18432],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/614400],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 61/491520],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 103/512000],
[[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 1/38400],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 503/56623104],
[[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 77/3538944],
[[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 1/221184],
[[[1, 5], [2, 4], [4, 2], [6, 2], [20, 1]], 1/30720],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 3/25600],
[[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 2813/53084160],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 23303/37748736],
[[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 271/4915200],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 13577/47185920],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 3751/7077888],
[[[1, 5], [2, 4], [4, 2], [10, 1], [12, 2]], 5/331776],
[[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 13/81920],
[[[1, 5], [2, 4], [4, 2], [10, 1], [20, 1]], 1/18432],
[[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 1/38400],
[[[1, 5], [2, 4], [4, 2], [12, 1], [16, 1]], 25/442368],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 13/6635520],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/1228800],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 70777/566231040],
[[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 2137/26542080],
[[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 83/1179648],
[[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 113/819200],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 19/7077888],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 17/11796480],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 2941/9437184],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 2143/9830400],
[[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1357/6635520],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 3185/339738624],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/2621440],
[[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 7/1327104],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 28849/94371840],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 282743/212336640],
[[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1357/6635520],
[[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 157/70778880],
[[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 25627/452984832],
[[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 269/141557760],
[[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 7957/106168320],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 1/368640],
[[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 3/12800],
[[[1, 5], [2, 4], [5, 1], [8, 1], [16, 1]], 5/147456],
[[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 51/204800],
[[[1, 5], [2, 4], [5, 2], [6, 2], [8, 1]], 1/230400],
[[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/144000],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/4000],
[[[1, 5], [2, 4], [6, 2], [8, 1], [16, 1]], 1/49152],
[[[1, 5], [2, 4], [6, 2], [10, 1], [30, 1]], 1/6144],
[[[1, 5], [2, 4], [8, 1], [10, 1], [16, 1]], 5/147456],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 823/71663616],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 31/1492992],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 311743/1698693120],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 13/1843200],
[[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 1939/238878720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 113/1310720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [20, 1]], 1939/66355200],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 137/3538944],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 3911/283115520],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 40609/339738624],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1325687/6794772480],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1033/56623104],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 104467/955514880],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 423115/2038431744],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 13/829440],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 7/737280],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 79/576000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 7/57600],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 11/589824],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/2073600],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 11/73728],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 43/11943936],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/7464960],
[[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 7/921600],
[[[1, 5], [2, 6], [3, 1], [8, 1], [16, 1]], 1939/106168320],
[[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 23/1474560],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 11995/47775744],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 239/28311552],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 13/921600],
[[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 1/49152],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 41/221184],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 41/17694720],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 12181/31850496],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 14827/424673280],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 119/8847360],
[[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 5/331776],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 50305/1019215872],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 313/3732480],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 53/5308416],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 1/46080],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 11/147456],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 11/147456],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 53/663552],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 29/414720],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 7183/11943936],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 1705/15925248],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 47/14155776],
[[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 151/13271040],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 317/15925248],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 11/311040],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 5/73728],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 35/663552],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 13/138240],
[[[1, 5], [2, 6], [3, 3], [8, 1], [10, 1]], 1/552960],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 127/1769472],
[[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 31/1911029760],
[[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 19/9953280],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 581/95551488],
[[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 1/11943936],
[[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 43/7464960],
[[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/17915904],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 61/9953280],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 2813/23592960],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 11/38400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 5/147456],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/307200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 6751/147456000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 101/384000],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 65/3145728],
[[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 13/442368],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 191/127401984],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 173/3276800],
[[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 2533/31457280],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 3083/23592960],
[[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 1063/35389440],
[[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 5/147456],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 13/1105920],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 1/819200],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 35903/141557760],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 31/7372800],
[[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 257/26542080],
[[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 815/7077888],
[[[1, 5], [2, 6], [4, 2], [6, 1], [20, 1]], 257/7372800],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 551/42467328],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 43/13271040],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 79/8847360],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 33469/88473600],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 9139/22118400],
[[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 49/442368],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 31939/339738624],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 169/17694720],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 5/165888],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 22669/56623104],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 158359/283115520],
[[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 49/442368],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 65/2097152],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 493973/1358954496],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 649/18874368],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 18607/106168320],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 5/294912],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 31/192000],
[[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 1/184320],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1/345600],
[[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 1/921600],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 97/576000],
[[[1, 5], [2, 6], [6, 1], [8, 1], [16, 1]], 257/11796480],
[[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 7/491520],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/221184000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 18575/573308928],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 40391/1698693120],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 1027/44236800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 637/106168320],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 37217/382205952],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 163/39321600],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 121271/849346560],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 509959/8153726976],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 1387/47185920],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 4457/318504960],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 804197/13589544960],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 11/737280],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/55296000],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 161/15728640],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 577/33177600],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 1513/95551488],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 1117/59719680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 11725/95551488],
[[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 157/2123366400],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 2951/23592960],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 487/47185920],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1093/66355200],
[[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 13/7962624],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 17351/424673280],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 1279/199065600],
[[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 1/265420800],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 1331/165888000],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 2413/106168320],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 3437/66355200],
[[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 1/655360],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/398131200],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 599/17694720],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 19/254803968],
[[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 11/5308416],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 721/79626240],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/99532800],
[[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 17/53084160],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 13/2211840],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 251/955514880],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 209/15925248],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 47/73728000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 3107/62914560],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 21/1638400],
[[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 377/35389440],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1609/127401984],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 83/8847360],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 29/2211840],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 6857/176947200],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 21433/294912000],
[[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 7/2457600],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 3065/37748736],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 2377/70778880],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 5/884736],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 3937/52428800],
[[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 2561/106168320],
[[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 7/2457600],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 863/39321600],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 268765/1358954496],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 6629/141557760],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 3839/106168320],
[[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 29/5898240],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 437/11059200],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 53/1843200],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 31/5898240],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 93613/2866544640],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 209/1698693120],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 85391/2038431744],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 779339/163074539520],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 83497/8493465600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 1/3932160],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 41797/2038431744],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 43/29491200],
[[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/353894400],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 101/73728000],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 721/127401984],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 6521/398131200],
[[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 431/530841600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 13/3185049600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 1037/63700992],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 13297/40768634880],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 427/265420800],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 8623/1132462080],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 11/477757440],
[[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 73/106168320],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 101/26542080],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 313/477757440],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 1279/265420800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 5021/11324620800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 103/17694720],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 322819/27179089920],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 713/35389440],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 141433/22649241600],
[[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 17/84934656],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 9181/2831155200],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 82819/3623878656],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 15037/471859200],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 23/35389440],
[[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 23/58982400],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 167/27648000],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 23/5898240],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 73/16986931200],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 1721371/366917713920],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 390391/4892236185600],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 76439/101921587200],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 13059439/4892236185600],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 97/4246732800],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 10801/61152952320],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 107909/76441190400],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 21211/61152952320],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 14419/50960793600],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 80909/65229815808],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 60871/11324620800],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 204097/1467670855680],
[[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/49152],
[[[1, 5], [3, 1], [4, 3], [8, 1], [12, 2]], 1/110592],
[[[1, 5], [3, 1], [4, 3], [8, 1], [20, 1]], 1/30720],
[[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 1/442368],
[[[1, 5], [3, 2], [4, 2], [5, 1], [8, 2]], 1/368640],
[[[1, 5], [3, 2], [4, 2], [5, 1], [12, 2]], 1/7680],
[[[1, 5], [3, 2], [4, 2], [5, 1], [15, 1]], 1/7680],
[[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/147456],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 259/18874368],
[[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 13/2654208],
[[[1, 6], [2, 1], [3, 1], [4, 4], [20, 1]], 13/737280],
[[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 533/1132462080],
[[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 13/10616832],
[[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 1/254803968],
[[[1, 6], [2, 1], [3, 1], [8, 2], [16, 1]], 1/98304],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 7/41472],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 1/147456],
[[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 71/1327104],
[[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 3], [20, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 911/113246208],
[[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 7/663552],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 7/5308416],
[[[1, 6], [2, 1], [3, 3], [4, 2], [12, 2]], 7/110592],
[[[1, 6], [2, 1], [3, 3], [4, 4], [8, 1]], 1/3538944],
[[[1, 6], [2, 1], [3, 3], [5, 1], [15, 1]], 7/8640],
[[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 1/1327104],
[[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 1/3538944],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/1990656],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 101/179159040],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 1/102400],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 1/192000],
[[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 9/524288],
[[[1, 6], [2, 1], [4, 1], [8, 3], [12, 1]], 1/196608],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 1/2359296],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 7/1310720],
[[[1, 6], [2, 1], [4, 3], [5, 1], [12, 2]], 1/1105920],
[[[1, 6], [2, 1], [4, 3], [5, 1], [20, 1]], 1/307200],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 3/819200],
[[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 23/3538944],
[[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 19/11796480],
[[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 1/65536],
[[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 1/3932160],
[[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 71/11796480],
[[[1, 6], [2, 1], [4, 3], [10, 1], [12, 2]], 1/1105920],
[[[1, 6], [2, 1], [4, 3], [10, 1], [20, 1]], 1/307200],
[[[1, 6], [2, 1], [4, 3], [12, 1], [16, 1]], 1/294912],
[[[1, 6], [2, 1], [4, 3], [12, 1], [20, 1]], 1/921600],
[[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 1/2097152],
[[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 1/4423680],
[[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 11/3538944],
[[[1, 6], [2, 1], [4, 5], [10, 1], [12, 1]], 1/4423680],
[[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 143/3397386240],
[[[1, 6], [2, 1], [6, 1], [8, 2], [16, 1]], 1/294912],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 55/2359296],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/409600],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 19379/113246208],
[[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 701/15925248],
[[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 3/32768],
[[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 413/4423680],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/1572864],
[[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 239/23592960],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 511/509607936],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 66305/452984832],
[[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 451/47185920],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 7325/63700992],
[[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 58217/33973862400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/86400],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 3]], 1/294912],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 1/368640],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 1589/56623104],
[[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 377/10616832],
[[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 1/24576],
[[[1, 6], [2, 3], [3, 2], [4, 2], [20, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 67/23887872],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 17/11796480],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 89/28311552],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 2839/56623104],
[[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/4718592],
[[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 89/2654208],
[[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 275/10616832],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 1/368640],
[[[1, 6], [2, 3], [3, 2], [5, 1], [15, 1]], 11/30720],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 19/518400],
[[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 1/144000],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 5/294912],
[[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 2], [8, 1], [16, 1]], 5/294912],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/221184],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 179/7962624],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 13/6635520],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 323/7962624],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 29/3538944],
[[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 1/2211840],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 5/786432],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 163/622080],
[[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 1/221184],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 13/41472],
[[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 7/41472],
[[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 1/82944],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1489/17915904],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 25/165888],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/737280],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 4579/95551488],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 155/31850496],
[[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 1/2211840],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 47/15925248],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1201/7464960],
[[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/518400],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 7/13824],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1201/11943936],
[[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 1/829440],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1387/17915904],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/1327104],
[[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 1/1244160],
[[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 391/47775744],
[[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 31/1990656],
[[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 31/1244160],
[[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 31/2985984],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 3]], 1/345600],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 1/131072],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 2903/26214400],
[[[1, 6], [2, 3], [4, 2], [5, 1], [12, 2]], 7/1843200],
[[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 13/491520],
[[[1, 6], [2, 3], [4, 2], [5, 1], [20, 1]], 7/512000],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 7/1843200],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 59/2457600],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 3/512000],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 551/849346560],
[[[1, 6], [2, 3], [4, 2], [6, 2], [12, 2]], 1877/477757440],
[[[1, 6], [2, 3], [4, 2], [6, 2], [20, 1]], 13/1658880],
[[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 883/53084160],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 619/6291456],
[[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 379/14745600],
[[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 19123/235929600],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 671/5898240],
[[[1, 6], [2, 3], [4, 2], [10, 1], [12, 2]], 7/1843200],
[[[1, 6], [2, 3], [4, 2], [10, 1], [16, 1]], 13/491520],
[[[1, 6], [2, 3], [4, 2], [10, 1], [20, 1]], 7/512000],
[[[1, 6], [2, 3], [4, 2], [12, 1], [16, 1]], 7/491520],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 7/6635520],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/409600],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 15727/566231040],
[[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 427/26542080],
[[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 11/1179648],
[[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 89/2457600],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 29/23592960],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 1577/47185920],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 7/2359296],
[[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 137/7372800],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 191/113246208],
[[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 13/23887872],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 2173/94371840],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 34921/212336640],
[[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 137/7372800],
[[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 61/70778880],
[[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 4225/452984832],
[[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 41/141557760],
[[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 1207/106168320],
[[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 6], [2, 3], [5, 1], [8, 1], [16, 1]], 7/819200],
[[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 1/16384],
[[[1, 6], [2, 3], [5, 2], [6, 2], [8, 1]], 1/230400],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 3/32000],
[[[1, 6], [2, 3], [6, 2], [8, 1], [16, 1]], 13/2654208],
[[[1, 6], [2, 3], [6, 2], [10, 1], [30, 1]], 31/1382400],
[[[1, 6], [2, 3], [8, 1], [10, 1], [16, 1]], 7/819200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/17915904],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 31/7372800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 581/95551488],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 35903/141557760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 1/819200],
[[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 257/26542080],
[[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 815/7077888],
[[[1, 6], [2, 5], [3, 1], [4, 2], [20, 1]], 257/7372800],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 317/15925248],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 649/18874368],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 50305/1019215872],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 493973/1358954496],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 65/2097152],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 18607/106168320],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 423115/2038431744],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 43/7464960],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 7/491520],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 97/576000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 1/46080],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 31/192000],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 53/5308416],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 5/73728],
[[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 1/11943936],
[[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 1/921600],
[[[1, 6], [2, 5], [3, 1], [8, 1], [16, 1]], 257/11796480],
[[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 5/294912],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 127/1769472],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 65/3145728],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/307200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 13/442368],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 1705/15925248],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 169/17694720],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 12181/31850496],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 31939/339738624],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 79/8847360],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 5/165888],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 40609/339738624],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 13/138240],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/2073600],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 11/589824],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1/345600],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 11/147456],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 11/147456],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 35/663552],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 11/311040],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 7183/11943936],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 43/13271040],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 41/221184],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 551/42467328],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 13/1105920],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 137/3538944],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 29/414720],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1/345600],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 11/73728],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 53/663552],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 313/3732480],
[[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 11995/47775744],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 191/127401984],
[[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 61/9953280],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 31/1492992],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/7464960],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 43/11943936],
[[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 13/829440],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 823/71663616],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 19/9953280],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 3083/23592960],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 101/384000],
[[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 5/147456],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 13/921600],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 173/3276800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 11/38400],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 239/28311552],
[[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 1/49152],
[[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 31/1911029760],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 6751/147456000],
[[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 2533/31457280],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 2813/23592960],
[[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 1063/35389440],
[[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 5/147456],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 151/13271040],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 13/1843200],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 311743/1698693120],
[[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 1939/238878720],
[[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 113/1310720],
[[[1, 6], [2, 5], [4, 2], [6, 1], [20, 1]], 1939/66355200],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 47/14155776],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 119/8847360],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 22669/56623104],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 9139/22118400],
[[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 49/442368],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 14827/424673280],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 41/17694720],
[[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 5/331776],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 33469/88473600],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 158359/283115520],
[[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 49/442368],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1033/56623104],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1325687/6794772480],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 3911/283115520],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 104467/955514880],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 23/1474560],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 7/57600],
[[[1, 6], [2, 5], [5, 1], [6, 3], [8, 1]], 1/552960],
[[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 7/921600],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 79/576000],
[[[1, 6], [2, 5], [6, 1], [8, 1], [16, 1]], 1939/106168320],
[[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 7/737280],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 31/221184000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 10985/573308928],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 118073/1698693120],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 829/44236800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 1939/106168320],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 37585/382205952],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 9649/353894400],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 38821/169869312],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 4770553/20384317440],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 6661/141557760],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 18491/318504960],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 12788737/40768634880],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 1513/59719680],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 59/6144000],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 2633/84934656],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 59/3686400],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 1117/95551488],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 13/2211840],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 6373/31850496],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 209/66355200],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 2531/5308416],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 20369/424673280],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 2377/70778880],
[[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 1/147456],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 15413/106168320],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 119/2654208],
[[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 31/265420800],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 43/1228800],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 5771/106168320],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 193/2654208],
[[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 31/5898240],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 31/398131200],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 65131/477757440],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 749/477757440],
[[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 83/8847360],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 1177/26542080],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 17/33177600],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 13/3538944],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 1117/59719680],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 4477/955514880],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1339/79626240],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 457/73728000],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 49289/566231040],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 43/14745600],
[[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 257/11796480],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 3317/477757440],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 11/5308416],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 2201/70778880],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 32297/176947200],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 8269/23592960],
[[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 37/2211840],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 31825/339738624],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 1093/66355200],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 13/1327104],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 3841/18874368],
[[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 34079/424673280],
[[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 37/2211840],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 17029/353894400],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 462209/1358954496],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 7969/141557760],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 8197/106168320],
[[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 137/17694720],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 613/11059200],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 19/307200],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 1/655360],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 86099/1433272320],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 27983/8493465600],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 659629/5096079360],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 5623823/163074539520],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 117317/4246732800],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 757/318504960],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 63779/754974720],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 173/15925248],
[[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 11/117964800],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 113/10368000],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 10121/637009920],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 101/4423680],
[[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 1433/530841600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 433/3185049600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 3899/53084160],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 328013/81537269760],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 71/9830400],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 38941/849346560],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 113/66355200],
[[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 245/42467328],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 881/66355200],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 14323/1911029760],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 3649/265420800],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 174757/22649241600],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 13171/442368000],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 2460671/101921587200],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 1723/106168320],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 1420913/84934656000],
[[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 163/141557760],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 5701/283115520],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 4579633/54358179840],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 187903/4246732800],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 101/21233664],
[[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 323/176947200],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 103/4423680],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 13/2949120],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 161/1887436800],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 6295549/366917713920],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 340339/326149079040],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 327203/101921587200],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 2717333/195689447424],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 2333/7644119040],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 147653/122305904640],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 11491/2831155200],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 5557/1698693120],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 86467/50960793600],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 24719057/4892236185600],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 334601/33973862400],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 6562583/7338354278400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/288000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 13/2359296],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/409600],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 919/20971520],
[[[1, 7], [2, 2], [3, 1], [4, 3], [12, 2]], 13/2949120],
[[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 13/1179648],
[[[1, 7], [2, 2], [3, 1], [4, 3], [20, 1]], 13/819200],
[[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 1/3145728],
[[[1, 7], [2, 2], [3, 1], [4, 5], [6, 2]], 1/9437184],
[[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 4571/452984832],
[[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 299/35389440],
[[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 23201/101921587200],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 7/1843200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 185/18874368],
[[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 151/10616832],
[[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 1/73728],
[[[1, 7], [2, 2], [3, 2], [4, 2], [20, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/1310720],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 31/84934656],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 3443/113246208],
[[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 1/23592960],
[[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 37/2654208],
[[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 11/56623104],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/368640],
[[[1, 7], [2, 2], [3, 2], [5, 1], [15, 1]], 1/6144],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 19/518400],
[[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 1/230400],
[[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 1/144000],
[[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1/294912],
[[[1, 7], [2, 2], [3, 2], [8, 1], [16, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1/345600],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 7/2654208],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/737280],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1/1327104],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 31/10616832],
[[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 215/42467328],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 1/86400],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 3], [6, 2], [18, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 25/165888],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 11/6635520],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1793/95551488],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 115/31850496],
[[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/6635520],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 5/5308416],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1201/7464960],
[[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/829440],
[[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/518400],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 5/13824],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/1244160],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 31/2985984],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 5/3981312],
[[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 295/47775744],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 31/1244160],
[[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 31/1990656],
[[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 2891/268738560],
[[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 1/288000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 3]], 1/1179648],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 739/78643200],
[[[1, 7], [2, 2], [4, 2], [5, 1], [12, 2]], 1/5529600],
[[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 1/491520],
[[[1, 7], [2, 2], [4, 2], [5, 1], [20, 1]], 1/1536000],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 1/368640],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 59/2457600],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 1/512000],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 41/849346560],
[[[1, 7], [2, 2], [4, 2], [6, 2], [12, 2]], 107/477757440],
[[[1, 7], [2, 2], [4, 2], [6, 2], [20, 1]], 1/1658880],
[[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 31/17694720],
[[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 29/2097152],
[[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 23/4915200],
[[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 133/235929600],
[[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 7/737280],
[[[1, 7], [2, 2], [4, 2], [10, 1], [12, 2]], 1/5529600],
[[[1, 7], [2, 2], [4, 2], [10, 1], [16, 1]], 1/491520],
[[[1, 7], [2, 2], [4, 2], [10, 1], [20, 1]], 1/1536000],
[[[1, 7], [2, 2], [4, 2], [12, 1], [16, 1]], 1/1474560],
[[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 1/409600],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 149/62914560],
[[[1, 7], [2, 2], [4, 3], [6, 1], [12, 2]], 19/15925248],
[[[1, 7], [2, 2], [4, 3], [6, 1], [20, 1]], 19/4423680],
[[[1, 7], [2, 2], [4, 4], [5, 1], [6, 2]], 1/2621440],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 125/18874368],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 19/58982400],
[[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 31/22118400],
[[[1, 7], [2, 2], [4, 4], [6, 2], [12, 1]], 1/23887872],
[[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 7/5898240],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 937/70778880],
[[[1, 7], [2, 2], [4, 4], [10, 1], [12, 1]], 31/22118400],
[[[1, 7], [2, 2], [4, 5], [5, 1], [6, 1]], 1/3145728],
[[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 227/452984832],
[[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 19/63700992],
[[[1, 7], [2, 2], [5, 1], [8, 1], [16, 1]], 1/2457600],
[[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 7], [2, 2], [6, 2], [8, 1], [16, 1]], 1/2654208],
[[[1, 7], [2, 2], [6, 2], [10, 1], [30, 1]], 1/1382400],
[[[1, 7], [2, 2], [8, 1], [10, 1], [16, 1]], 1/2457600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 23/1474560],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/10616832],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 14899/94371840],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/7372800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 377/79626240],
[[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 413/7077888],
[[[1, 7], [2, 4], [3, 1], [4, 2], [20, 1]], 377/22118400],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 53/11943936],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 2447/94371840],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 12067/1019215872],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 1604293/6794772480],
[[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 359/18874368],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 30767/318504960],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 12781/679477248],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 1/7464960],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 1/98304],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 31/576000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 7/230400],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/307200],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 13/192000],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 5/5308416],
[[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 31/3317760],
[[[1, 7], [2, 4], [3, 1], [8, 1], [16, 1]], 377/35389440],
[[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 7/1474560],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 13/2764800],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/1492992],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 557/28311552],
[[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 5/294912],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 125/5308416],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 119/8847360],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 5311/106168320],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 11761/113246208],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 19/5898240],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 11/442368],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 9841/113246208],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 13/414720],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 19/1769472],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 5/147456],
[[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 5/147456],
[[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 29/1990656],
[[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1/207360],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 4789/35831808],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 151/13271040],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 2731/23887872],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 2275/127401984],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 7/1658880],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 455/10616832],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 31/414720],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 1/552960],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/115200],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 11/73728],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 143/2985984],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 73/3732480],
[[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 7/1658880],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 19/9953280],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 35969/143327232],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 641/127401984],
[[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 53/9953280],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 271/11943936],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 43/7464960],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 13/1327104],
[[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 29/2488320],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 935/23887872],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 1999/39321600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 13/307200],
[[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 7/819200],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 43/2764800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 233/9830400],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 23/307200],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 551/424673280],
[[[1, 7], [2, 4], [4, 1], [6, 2], [16, 1]], 13/2654208],
[[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/1911029760],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/147456000],
[[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 827/28311552],
[[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 4033/117964800],
[[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 221/17694720],
[[[1, 7], [2, 4], [4, 1], [10, 1], [16, 1]], 7/819200],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 43/13271040],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 97717/1698693120],
[[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 637/238878720],
[[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 89/3932160],
[[[1, 7], [2, 4], [4, 2], [6, 1], [20, 1]], 637/66355200],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 31/637009920],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 169/17694720],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 45127/471859200],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 41/983040],
[[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 107/7372800],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 7993/1274019840],
[[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 13/3981312],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 3427/58982400],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 3175/28311552],
[[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 107/7372800],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 2567/283115520],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 55729/1358954496],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 593/283115520],
[[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 4325/191102976],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 1/294912],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 1/102400],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 13/576000],
[[[1, 7], [2, 4], [6, 1], [8, 1], [16, 1]], 637/106168320],
[[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 43/14745600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 4477/955514880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 49289/566231040],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 457/73728000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 257/11796480],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 1177/26542080],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 7969/141557760],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 15413/106168320],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 462209/1358954496],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 17029/353894400],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 8197/106168320],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 12788737/40768634880],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 1117/59719680],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 59/3686400],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 2633/84934656],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 59/6144000],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 13/3538944],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 17/33177600],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 65131/477757440],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 1093/66355200],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 2531/5308416],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 31825/339738624],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 2201/70778880],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 13/1327104],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 38821/169869312],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 193/2654208],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 1/655360],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 613/11059200],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 5771/106168320],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 119/2654208],
[[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 137/17694720],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 11/5308416],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 6373/31850496],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 3317/477757440],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1339/79626240],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 37585/382205952],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 13/2211840],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 1117/95551488],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 1513/59719680],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 10985/573308928],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 83/8847360],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 829/44236800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 118073/1698693120],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 31/221184000],
[[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 1939/106168320],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 749/477757440],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 31/398131200],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 2377/70778880],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 3841/18874368],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 8269/23592960],
[[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 37/2211840],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 20369/424673280],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 209/66355200],
[[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 1/147456],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 32297/176947200],
[[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 34079/424673280],
[[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 37/2211840],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 6661/141557760],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 4770553/20384317440],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 9649/353894400],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 18491/318504960],
[[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 31/5898240],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 43/1228800],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 19/307200],
[[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 31/265420800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 29023/477757440],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 170857/8493465600],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 339253/1698693120],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 7492921/67947724800],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 207103/4246732800],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 2779/318504960],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 2743237/10192158720],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 10841/398131200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 431/530841600],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1391/41472000],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 479/21233664],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 169/7372800],
[[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 13/2949120],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 427/265420800],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 12967/63700992],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 51299/3019898880],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 1723/106168320],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 243391/1698693120],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 65/5308416],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 587/35389440],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 367/13271040],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 30379/955514880],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 713/35389440],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 653177/22649241600],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 1823/19660800],
[[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 1/5529600],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 2912711/101921587200],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 71/9830400],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 2850353/84934656000],
[[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 38279/12740198400],
[[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 1/5529600],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 21917/471859200],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 1094189/7549747200],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 172997/4246732800],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 1139/106168320],
[[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 23/5898240],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 103/2457600],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 1433/530841600],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 99479/101921587200],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 4257199/101921587200],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 2068697/326149079040],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 335591/42467328000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 1/79626240],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 2835691/60397977600],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 36097/15288238080],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 58601/13589544960],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 26717/3538944000],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 2026531/122305904640],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 23021/3774873600],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 68538539/4892236185600],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 499711/42467328000],
[[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 1/26542080],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 8886599/2446118092800],
[[[1, 7], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1474560],
[[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/1179648],
[[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/230400],
[[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 1/1474560],
[[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/829440],
[[[1, 7], [4, 1], [8, 1], [12, 1], [24, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/288000],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/1228800],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 121/188743680],
[[[1, 8], [2, 1], [3, 1], [4, 3], [12, 2]], 7/26542080],
[[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 1/1179648],
[[[1, 8], [2, 1], [3, 1], [4, 3], [20, 1]], 7/7372800],
[[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/15728640],
[[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 257/452984832],
[[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 67/106168320],
[[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 1/150994944],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/614400],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 97/283115520],
[[[1, 8], [2, 1], [3, 2], [4, 2], [12, 2]], 31/17694720],
[[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 1/4718592],
[[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 13/37748736],
[[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 1/56623104],
[[[1, 8], [2, 1], [3, 2], [5, 1], [15, 1]], 31/1382400],
[[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/230400],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 1/345600],
[[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1/2654208],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/2359296],
[[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/14155776],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/86400],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 7/165888],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 25/31850496],
[[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 1/15925248],
[[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/829440],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/20736],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/1244160],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 7/11943936],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 31/15925248],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 31/1244160],
[[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 101/268738560],
[[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/288000],
[[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 31/235929600],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 17/2457600],
[[[1, 8], [2, 1], [4, 2], [8, 1], [12, 2]], 1/17694720],
[[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 73/75497472],
[[[1, 8], [2, 1], [4, 2], [8, 1], [20, 1]], 1/4915200],
[[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 1/2359296],
[[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/1228800],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 11/566231040],
[[[1, 8], [2, 1], [4, 3], [6, 1], [12, 2]], 1/15925248],
[[[1, 8], [2, 1], [4, 3], [6, 1], [20, 1]], 1/4423680],
[[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 31/31457280],
[[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 31/70778880],
[[[1, 8], [2, 1], [4, 5], [5, 1], [6, 1]], 1/15728640],
[[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 1/63700992],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1/57600],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 21017/566231040],
[[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 23/26542080],
[[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 13/1310720],
[[[1, 8], [2, 3], [3, 1], [4, 2], [20, 1]], 23/7372800],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 7/95551488],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 397/94371840],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 437/339738624],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 2731/83886080],
[[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 11/94371840],
[[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 223/21233664],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1751/679477248],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 7/1474560],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/82944],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 1/102400],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 7/576000],
[[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 1/3317760],
[[[1, 8], [2, 3], [3, 1], [8, 1], [16, 1]], 23/11796480],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 43/2764800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 65/9437184],
[[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/294912],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 5/7962624],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 79/8847360],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 751/106168320],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 1145/28311552],
[[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 1/1966080],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 1/147456],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 773/113246208],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 1/622080],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 7/230400],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1/884736],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 31/6635520],
[[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 31/6635520],
[[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/663552],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 83/17915904],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 13/1105920],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 667/47775744],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 1381/127401984],
[[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1/1474560],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 331/15925248],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 151/3732480],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 7/1036800],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 5/73728],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 23/2985984],
[[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 61/9953280],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 10271/143327232],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 665/127401984],
[[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 11/9953280],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 899/95551488],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 13/829440],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 29/3981312],
[[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1/622080],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 301/7962624],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 229/39321600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/307200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 1/2457600],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 13/2764800],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 233/9830400],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 19/1536000],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 41/424673280],
[[[1, 8], [2, 3], [4, 1], [6, 2], [16, 1]], 1/2654208],
[[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 143/28311552],
[[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 43/117964800],
[[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 1/491520],
[[[1, 8], [2, 3], [4, 1], [10, 1], [16, 1]], 1/2457600],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 23/1474560],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1357/226492416],
[[[1, 8], [2, 3], [4, 2], [6, 1], [12, 2]], 1/2949120],
[[[1, 8], [2, 3], [4, 2], [6, 1], [16, 1]], 19/7077888],
[[[1, 8], [2, 3], [4, 2], [6, 1], [20, 1]], 1/819200],
[[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/637009920],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 41/17694720],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 13/589824],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 59/14745600],
[[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 7/7372800],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 2711/10192158720],
[[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 1/3981312],
[[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 3137/943718400],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 311/28311552],
[[[1, 8], [2, 3], [4, 3], [10, 1], [12, 1]], 7/7372800],
[[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 37/10485760],
[[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 24419/6794772480],
[[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 199/106168320],
[[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 1/307200],
[[[1, 8], [2, 3], [6, 1], [8, 1], [16, 1]], 1/1310720],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 21/1638400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 251/955514880],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 3107/62914560],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 47/73728000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 377/35389440],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 721/79626240],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 6629/141557760],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 17351/424673280],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 268765/1358954496],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 863/39321600],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 3839/106168320],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 804197/13589544960],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 13/2211840],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 577/33177600],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 161/15728640],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/55296000],
[[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 17/53084160],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/99532800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 599/17694720],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 2377/70778880],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 2951/23592960],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 3065/37748736],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 29/2211840],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 5/884736],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 121271/849346560],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 3437/66355200],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 31/5898240],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 437/11059200],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 2413/106168320],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 1279/199065600],
[[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 29/5898240],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 83/8847360],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 11725/95551488],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1609/127401984],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 209/15925248],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 37217/382205952],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 1117/59719680],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 1513/95551488],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 11/737280],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 18575/573308928],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 11/5308416],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 1027/44236800],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 40391/1698693120],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/221184000],
[[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 637/106168320],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 19/254803968],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/398131200],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1093/66355200],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 3937/52428800],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 21433/294912000],
[[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 7/2457600],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 487/47185920],
[[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 157/2123366400],
[[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 13/7962624],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 6857/176947200],
[[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 2561/106168320],
[[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 7/2457600],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 1387/47185920],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 509959/8153726976],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 163/39321600],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 4457/318504960],
[[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 1/655360],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 1331/165888000],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 53/1843200],
[[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 1/265420800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 30379/955514880],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 172997/4246732800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 243391/1698693120],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 1094189/7549747200],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 21917/471859200],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 1139/106168320],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 2743237/10192158720],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 367/13271040],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 1433/530841600],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 103/2457600],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 587/35389440],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 65/5308416],
[[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 23/5898240],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 71/9830400],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 12967/63700992],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 2912711/101921587200],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 713/35389440],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 339253/1698693120],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 169/7372800],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 479/21233664],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 10841/398131200],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 29023/477757440],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 1723/106168320],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 2850353/84934656000],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 1823/19660800],
[[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 1/5529600],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 51299/3019898880],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 427/265420800],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 653177/22649241600],
[[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 38279/12740198400],
[[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 1/5529600],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 207103/4246732800],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 7492921/67947724800],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 170857/8493465600],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 2779/318504960],
[[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 13/2949120],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1391/41472000],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 431/530841600],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 488483/101921587200],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 3081679/50960793600],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 28674931/1630745395200],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 536191/42467328000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 7/79626240],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 6744329/60397977600],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 66601/8493465600],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 15119/1887436800],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 110711/10616832000],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 9274223/203843174400],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 405257/33973862400],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 2415103/108716359680],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 414311/42467328000],
[[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 1/8847360],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 25162297/2446118092800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 13/1843200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 59/62914560],
[[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 1/26542080],
[[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 7/11796480],
[[[1, 9], [2, 2], [3, 1], [4, 2], [20, 1]], 1/7372800],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 11/10485760],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 1/37748736],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 2741/1132462080],
[[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 1/94371840],
[[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 73/106168320],
[[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 1/7077888],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 1/1474560],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1/2073600],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 7/921600],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 1/576000],
[[[1, 9], [2, 2], [3, 1], [8, 1], [16, 1]], 1/11796480],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 13/921600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 97/141557760],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 19/5898240],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 1/5308416],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 253/141557760],
[[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 79/113246208],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 1/46080],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/6635520],
[[[1, 9], [2, 2], [3, 2], [6, 2], [18, 1]], 1/6635520],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 7/1658880],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 41/47775744],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 1901/637009920],
[[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/13271040],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/884736],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 19/3732480],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 7/1658880],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 1/1036800],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 31/3317760],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 53/9953280],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/1492992],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 247/127401984],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 155/95551488],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 29/2488320],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/995328],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 727/71663616],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 31/117964800],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 71/9830400],
[[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 19/62914560],
[[[1, 9], [2, 2], [4, 1], [8, 2], [12, 1]], 1/11796480],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 31/7372800],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 49/1132462080],
[[[1, 9], [2, 2], [4, 2], [6, 1], [12, 2]], 1/79626240],
[[[1, 9], [2, 2], [4, 2], [6, 1], [16, 1]], 1/7077888],
[[[1, 9], [2, 2], [4, 2], [6, 1], [20, 1]], 1/22118400],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 193/58982400],
[[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1/679477248],
[[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/943718400],
[[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 293/566231040],
[[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 59/94371840],
[[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 659/6794772480],
[[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 31/318504960],
[[[1, 9], [2, 2], [6, 1], [8, 1], [16, 1]], 1/35389440],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 1027/44236800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/238878720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 1271/113246208],
[[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 23/11796480],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 121/254803968],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 6709/353894400],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 215/37748736],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 18241/452984832],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 551/471859200],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 163/35389440],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 57847/5435817984],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 17/33177600],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 577/33177600],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 43/28311552],
[[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/159252480],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 275/95551488],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 2201/70778880],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 2977/127401984],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 12649/424673280],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 13/5529600],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 1/884736],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 11713/424673280],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 449/22118400],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 137/17694720],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 49/3686400],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 937/318504960],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 49/199065600],
[[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 97/88473600],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 1339/79626240],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 44777/1433272320],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 1333/127401984],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 1631/398131200],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 1919/47775744],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 1513/59719680],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 11/1179648],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 311/99532800],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 4721/191102976],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 31/398131200],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 21/1638400],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 247/94371840],
[[[1, 9], [2, 4], [4, 1], [6, 1], [16, 1]], 1/1310720],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/424673280],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 209/66355200],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 149/7077888],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 3149/294912000],
[[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 1/7372800],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 7097/10192158720],
[[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/424673280],
[[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 1/7962624],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 5657/2831155200],
[[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 37/13271040],
[[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 1/7372800],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 4049/353894400],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 101879/13589544960],
[[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 11/471859200],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 149/106168320],
[[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 31/265420800],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 101/165888000],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 47/9216000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 14323/1911029760],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 187903/4246732800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 38941/849346560],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 4579633/54358179840],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 5701/283115520],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 101/21233664],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 63779/754974720],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 881/66355200],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 13/2949120],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 103/4423680],
[[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 245/42467328],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 113/66355200],
[[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 323/176947200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 1723/106168320],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 3899/53084160],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 2460671/101921587200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 3649/265420800],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 659629/5096079360],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 101/4423680],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 10121/637009920],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 173/15925248],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 86099/1433272320],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 71/9830400],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 1420913/84934656000],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 13171/442368000],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 328013/81537269760],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 433/3185049600],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 174757/22649241600],
[[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 163/141557760],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 117317/4246732800],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 5623823/163074539520],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 27983/8493465600],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 757/318504960],
[[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 1433/530841600],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 113/10368000],
[[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 11/117964800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 414311/42467328000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 9274223/203843174400],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 2415103/108716359680],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 405257/33973862400],
[[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 1/8847360],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 6744329/60397977600],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 110711/10616832000],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 15119/1887436800],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 66601/8493465600],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 3081679/50960793600],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 536191/42467328000],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 28674931/1630745395200],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 488483/101921587200],
[[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 7/79626240],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 49586201/2446118092800],
[[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 1/921600],
[[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 1/5898240],
[[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 1/1658880],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1/819200],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 37/3397386240],
[[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 11/94371840],
[[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 13/188743680],
[[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 1/226492416],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/921600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1/307200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 7/141557760],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/1966080],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 37/377487360],
[[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/56623104],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 1/345600],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 1/1474560],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 191/637009920],
[[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 1/31850496],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 1/1658880],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/3317760],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 11/9953280],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 551/1911029760],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/7962624],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/622080],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/17915904],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 1/117964800],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 31/147456000],
[[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/188743680],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 11/314572800],
[[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/113246208],
[[[1, 10], [2, 1], [4, 4], [6, 1], [8, 1]], 1/2264924160],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 829/44236800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 37/62914560],
[[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 1/11796480],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 1/254803968],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 749/117964800],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 421/1698693120],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 18983/4529848320],
[[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 47/471859200],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 1/3932160],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 9943/9059696640],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/99532800],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 3/409600],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 1/141557760],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 43/477757440],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 29/2211840],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 223/159252480],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 1903/424673280],
[[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 37/235929600],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 3223/849346560],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 523/199065600],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 29/5898240],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 97/55296000],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 31/318504960],
[[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 7/88473600],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 209/15925248],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 4943/1433272320],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 611/159252480],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 161/398131200],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 277/47775744],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 11/737280],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 311/159252480],
[[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 7/33177600],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 2513/318504960],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 1/398131200],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 43/14745600],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 1/35389440],
[[[1, 10], [2, 3], [4, 1], [6, 1], [16, 1]], 1/35389440],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 157/2123366400],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 689/176947200],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 691/1179648000],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 41/10192158720],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 17/2831155200],
[[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 1/6291456],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 667/353894400],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 161/503316480],
[[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1/1415577600],
[[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 7/106168320],
[[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 1/265420800],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/4608000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 313/477757440],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 15037/471859200],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 8623/1132462080],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 82819/3623878656],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 9181/2831155200],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 23/35389440],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 41797/2038431744],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 101/26542080],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 23/5898240],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 167/27648000],
[[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 73/106168320],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 11/477757440],
[[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 23/58982400],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 713/35389440],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 1037/63700992],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 322819/27179089920],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 1279/265420800],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 85391/2038431744],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 6521/398131200],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 721/127401984],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 43/29491200],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 93613/2866544640],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 427/265420800],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 141433/22649241600],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 103/17694720],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 13297/40768634880],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 13/3185049600],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 5021/11324620800],
[[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 17/84934656],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 83497/8493465600],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 779339/163074539520],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 209/1698693120],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 1/3932160],
[[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 431/530841600],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 101/73728000],
[[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/353894400],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 499711/42467328000],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 2026531/122305904640],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 68538539/4892236185600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 23021/3774873600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 1/26542080],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 2835691/60397977600],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 26717/3538944000],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 58601/13589544960],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 36097/15288238080],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 4257199/101921587200],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 335591/42467328000],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 2068697/326149079040],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 99479/101921587200],
[[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 1/79626240],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 49586201/2446118092800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 457/73728000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 37/1698693120],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 551/471859200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 1/849346560],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 3323/13589544960],
[[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 157/3019898880],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 17/18432000],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 13/5529600],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 7/318504960],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 5977/10192158720],
[[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 7/707788800],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 131/566231040],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 13/199065600],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 97/88473600],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 7/55296000],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 1631/398131200],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 7/79626240],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 19/31850496],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 1703/3822059520],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 311/99532800],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 7/53084160],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 2483/2866544640],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 31/221184000],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 1/424673280],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 569/2831155200],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 3/131072000],
[[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/283115520],
[[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 11/471859200],
[[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 37/13589544960],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 19/1433272320],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 4069/283115520],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 3427/6115295232],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 290317/81537269760],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 2477/8493465600],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 1/35389440],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 60607/20384317440],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 11/22118400],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 323/176947200],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 7/9216000],
[[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 11/764411904],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 1/2388787200],
[[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 37/1061683200],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 3649/265420800],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 4913/2866544640],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 98503/27179089920],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 2489/3185049600],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 17299/2038431744],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 577/79626240],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 43/47185920],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 19/159252480],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 701/70778880],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 433/3185049600],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 38821/22649241600],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 193/353894400],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 161/40768634880],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 101/11324620800],
[[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 41/2831155200],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 15503/8493465600],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 6931/27179089920],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 31/8493465600],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 1/106168320],
[[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 11/117964800],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 11/221184000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 334601/33973862400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 5557/1698693120],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 24719057/4892236185600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 86467/50960793600],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 2717333/195689447424],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 11491/2831155200],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 147653/122305904640],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 2333/7644119040],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 6295549/366917713920],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 327203/101921587200],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 340339/326149079040],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 161/1887436800],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 25162297/2446118092800],
[[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 7/88473600],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 47/73728000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1/1698693120],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 47/471859200],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 13/4529848320],
[[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/9059696640],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/55296000],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 37/235929600],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 361/10192158720],
[[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 7/1698693120],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 7/88473600],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 161/398131200],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 491/11466178560],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 7/424673280],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 7/33177600],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 41/2866544640],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/221184000],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 17/2831155200],
[[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/1415577600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 1/5733089280],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 9181/2831155200],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 373/30576476160],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 29281/81537269760],
[[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 13/2831155200],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 3863/20384317440],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 11/477757440],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 23/58982400],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 37/663552000],
[[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 1/3822059520],
[[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 1/1061683200],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 1279/265420800],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 109/1433272320],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 8803/13589544960],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 149/3185049600],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 25943/30576476160],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 43/29491200],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 19/254803968],
[[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 1/398131200],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 193/119439360],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 13/3185049600],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 2333/11324620800],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 29/1769472000],
[[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 61/1223059046400],
[[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 61/339738624000],
[[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 1/2831155200],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 209/1698693120],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 1/201326592],
[[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 1/353894400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 60871/11324620800],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 21211/61152952320],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 80909/65229815808],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 14419/50960793600],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 13059439/4892236185600],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 107909/76441190400],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 10801/61152952320],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 97/4246732800],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 1721371/366917713920],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 76439/101921587200],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 390391/4892236185600],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 73/16986931200],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 8886599/2446118092800],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 2477/8493465600],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 1/6115295232],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 13481/815372697600],
[[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/8493465600],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 1/339738624],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 1/2388787200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 37/1061683200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 1/663552000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 2489/3185049600],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 1/955514880],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 2089/40768634880],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 893/30576476160],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 19/159252480],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 1/637009920],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 229/2149908480],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 101/11324620800],
[[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 1/1223059046400],
[[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 1/339738624000],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 31/8493465600],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 61/815372697600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 86467/50960793600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 33641/1834588569600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 67963/326149079040],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 11141/509607936000],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 1382837/4892236185600],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 9937/38220595200],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 97/6794772480],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 101/127401984000],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 46483/61152952320],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 161/1887436800],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 17557/4892236185600],
[[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 61/509607936000],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 6562583/7338354278400],
[[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 1/1061683200],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 13/2831155200],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 341/815372697600],
[[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 1/20384317440],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 1/1061683200],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 149/3185049600],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 1781/1223059046400],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/5096079360],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1/398131200],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 23/17199267840],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 61/339738624000],
[[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 1/815372697600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 14419/50960793600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 887/1834588569600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 29573/1630745395200],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 281/509607936000],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 65663/4892236185600],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 97/4246732800],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 101/203843174400],
[[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/127401984000],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 3101/50960793600],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 73/16986931200],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 37/326149079040],
[[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/509607936000],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 204097/1467670855680],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 11141/509607936000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/305764761600],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 227/326149079040],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 1433/4892236185600],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 101/127401984000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/203843174400],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 3467/1834588569600],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 61/509607936000],
[[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/543581798400],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 29549/2446118092800],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 281/509607936000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 67/4892236185600],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/1630745395200],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/127401984000],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 41/1834588569600],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/509607936000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 433/815372697600],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 11/917294284800],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/7338354278400],
[[[2, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/2304],
[[[2, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/1280],
[[[2, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/1536],
[[[2, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 5/73728],
[[[2, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/3456],
[[[2, 3], [4, 1], [8, 2], [12, 1], [16, 1]], 1/12288],
[[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/12288],
[[[2, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/7680],
[[[2, 3], [4, 3], [8, 1], [12, 1], [24, 1]], 1/12288],
[[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/294912],
[[[2, 3], [4, 4], [6, 1], [8, 2], [12, 1]], 1/73728],
[[[2, 3], [4, 4], [6, 1], [12, 1], [20, 1]], 1/5760],
[[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/49152],
[[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/73728],
[[[2, 5], [4, 2], [6, 2], [8, 2], [10, 1]], 1/368640],
[[[2, 5], [4, 2], [6, 2], [10, 1], [12, 2]], 1/7680],
[[[2, 5], [4, 2], [6, 2], [10, 1], [30, 1]], 1/7680],
[[[2, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/294912],
[[[2, 5], [4, 3], [6, 1], [8, 1], [12, 2]], 1/110592],
[[[2, 5], [4, 3], [6, 1], [8, 1], [20, 1]], 1/30720],
[[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/230400],
[[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/829440],
[[[2, 7], [4, 1], [8, 1], [12, 1], [24, 1]], 1/2211840],
[[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1179648],
[[[2, 7], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1474560],
[[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 1/1474560],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 1/921600],
[[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 1/1658880],
[[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 1/5898240],
[[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 7/88473600],
[[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1061683200],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 13/294912],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 3]], 19/15552],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 2]], 1/1769472],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [12, 2]], 11/55296],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [20, 1]], 1/138240],
[[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 13/35389440],
[[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [12, 1]], 11/5308416],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 1/3456],
[[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1], [24, 1]], 1/192],
[[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [16, 1]], 7/12288],
[[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [24, 1]], 1/1536],
[[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/122880],
[[[1, 1], [2, 2], [4, 3], [5, 1], [8, 2], [12, 1]], 1/30720],
[[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [20, 1]], 1/2400],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/122880],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 13/24576],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 7/7680],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [24, 1]], 1/4096],
[[[1, 1], [2, 2], [4, 3], [8, 2], [10, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [20, 1]], 1/2400],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/294912],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [12, 1]], 1/73728],
[[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [20, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/5184],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 1/294912],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [12, 2]], 1/3456],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 5/884736],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 179/497664],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [20, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1769472],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 1/245760],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 1/442368],
[[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [20, 1]], 1/34560],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 7/2359296],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 1/49152],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [8, 1]], 1/442368],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 13/995328],
[[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [8, 1]], 1/53084160],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [16, 1]], 1/36864],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [24, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 1/1296],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [30, 1]], 1/360],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 1/16384],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [12, 2]], 1/46080],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [20, 1]], 1/12800],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [12, 2]], 1/7680],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [30, 1]], 1/2560],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [12, 2]], 1/46080],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [20, 1]], 1/12800],
[[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [16, 1]], 37/294912],
[[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [24, 1]], 7/18432],
[[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 2]], 1/122880],
[[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [12, 2]], 1/34560],
[[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [20, 1]], 1/9600],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 11/110592],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 31/589824],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [20, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 5/147456],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [20, 1]], 1/9600],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [16, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [20, 1]], 1/11520],
[[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 5], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 3]], 1/196608],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 31/1990656],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 7/41472],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 13/884736],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/18432],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [8, 1]], 1/1990656],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [12, 2]], 1/663552],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [20, 1]], 1/184320],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 7/7077888],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 23/1990656],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [20, 1]], 1/110592],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 1/98304],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 37/442368],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [8, 1]], 1/3538944],
[[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [12, 1]], 1/2654208],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 13/56623104],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 29/31850496],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [24, 1]], 1/13824],
[[[1, 1], [2, 6], [3, 1], [6, 2], [9, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1440],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [16, 1]], 1/491520],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 1/184320],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [30, 1]], 7/11520],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/829440],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/491520],
[[[1, 1], [2, 6], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1474560],
[[[1, 1], [2, 6], [4, 1], [8, 1], [12, 1], [24, 1]], 31/2211840],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [12, 2]], 1/221184],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 37/1179648],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [20, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 7/1474560],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/491520],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 13/884736],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/345600],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/995328],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/1244160],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 7/165888],
[[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/7077888],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 61/141557760],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/307200],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [12, 2]], 1/8847360],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 1/3981312],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/552960],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 1/1179648],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 1/2211840],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 1/442368],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [8, 1]], 1/14155776],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/3932160],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [24, 1]], 1/2211840],
[[[1, 1], [2, 8], [3, 1], [6, 1], [9, 1], [18, 1]], 1/829440],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 7/921600],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 7/11796480],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 7/1658880],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 7/1474560],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/655360],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1769472],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1382400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 7/53084160],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2488320],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 7/26542080],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 7/212336640],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/2211840],
[[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 1/176947200],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/94371840],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 1/8847360],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/28311552],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 97/88473600],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 19/19660800],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 1/637009920],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 7/132710400],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 1/2548039680],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/353894400],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 37/1061683200],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/203843174400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 1/1592524800],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 13/294912],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 3]], 19/15552],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/294912],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 2], [12, 1]], 1/73728],
[[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [20, 1]], 1/5760],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 2]], 1/1769472],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 11/55296],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [20, 1]], 1/138240],
[[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 13/35389440],
[[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 11/5308416],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 1/3456],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 1/12288],
[[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1], [24, 1]], 1/192],
[[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [16, 1]], 7/12288],
[[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [24, 1]], 1/1536],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/122880],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 2], [12, 1]], 1/30720],
[[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/122880],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 13/24576],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 7/7680],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [24, 1]], 1/4096],
[[[1, 2], [2, 1], [4, 3], [8, 2], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/5184],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/49152],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 5/49152],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [12, 2]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 11/884736],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 233/497664],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [20, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/110592],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 7/1769472],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [20, 1]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 1/245760],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 7/442368],
[[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [20, 1]], 7/34560],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 1655/7077888],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 2329/1327104],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [16, 1]], 1/221184],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 19/46080],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 1/442368],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 13/995328],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 1/442368],
[[[1, 2], [2, 3], [3, 1], [4, 6], [5, 1], [6, 1]], 1/16588800],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 91/6635520],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [10, 1]], 1/16588800],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 221/2654208],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [16, 1]], 1/12288],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [24, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 1/1296],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/360],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [15, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 203/1327104],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 2353/373248],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [20, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 2], [2, 3], [3, 2], [4, 2], [10, 1], [12, 2]], 1/7680],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 1/147456],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 1/9216],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [8, 1]], 1/331776],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 67/1492992],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/2160],
[[[1, 2], [2, 3], [3, 2], [5, 1], [10, 1], [15, 1]], 1/600],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [16, 1]], 5/20736],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [24, 1]], 1/576],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 1/216],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/2160],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/16384],
[[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [30, 1]], 1/1440],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 2]], 1/368640],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [12, 2]], 1/7680],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [12, 2]], 11/46080],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/8192],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [20, 1]], 3/12800],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 13/102400],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [12, 1]], 1/15360],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [12, 2]], 11/14400],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [20, 1]], 7/500],
[[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [30, 1]], 1/2560],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 11/46080],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/8192],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [20, 1]], 3/12800],
[[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 49/49152],
[[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [24, 1]], 25/18432],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 1/122880],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [12, 2]], 1/34560],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [20, 1]], 1/9600],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 11/110592],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 11/196608],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 7/147456],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [20, 1]], 1/9600],
[[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 3], [4, 4], [5, 1], [10, 1], [12, 1]], 29/230400],
[[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [4, 5], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [30, 1]], 1/600],
[[[1, 2], [2, 3], [5, 1], [8, 1], [10, 1], [16, 1]], 3/3200],
[[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 19/589824],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 7/20736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 31/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 7/41472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/737280],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [12, 2]], 1/207360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [20, 1]], 1/57600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 37/589824],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 305/995328],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [20, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/6144],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 13/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 7/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 17/663552],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 11/1179648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [20, 1]], 1/20480],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 17/1474560],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 1/221184],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [12, 2]], 1/207360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [20, 1]], 1/57600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [16, 1]], 1/55296],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 407/7077888],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 29/124416],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [20, 1]], 41/552960],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 37/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 79/442368],
[[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 1/829440],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 623/10616832],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 403/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 1/327680],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 19/1327104],
[[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 1/829440],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 67/18874368],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 281/31850496],
[[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [16, 1]], 1/92160],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [16, 1]], 1/55296],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [24, 1]], 7/13824],
[[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 7/5184],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2880],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 1/55296],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1201/11943936],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 5/3456],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 5/5308416],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 179/2985984],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [20, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [9, 1]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 5/165888],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 11/27648],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 29/5308416],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/8192],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/294912],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 11/5308416],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 13/5971968],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [15, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [16, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [8, 1]], 1/829440],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/64000],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 37/491520],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [12, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/24576],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 5/2304],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 37/491520],
[[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [16, 1]], 7/491520],
[[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [24, 1]], 5/49152],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 31/1474560],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [12, 2]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [20, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 13/221184],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 5/32768],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 17/491520],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 5/73728],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [20, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [16, 1]], 1/18432],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/1474560],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/153600],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 7/1474560],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 7/184320],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [12, 1]], 13/276480],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 121/2949120],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 61/221184],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 13/276480],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 1/110592],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 7/345600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 7/27648],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 31/3981312],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 13/1244160],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 49/165888],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/102400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 43/7077888],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [12, 1]], 1/442368],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 109/9437184],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 13/921600],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 511/79626240],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 5/884736],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [20, 1]], 11/2764800],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 149/7962624],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 13/1658880],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 19/73728],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 133/7077888],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/245760],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 13/442368],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 37/5898240],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 1/442368],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 5647/849346560],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 23/11796480],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 377/39813120],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [16, 1]], 11/4423680],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [24, 1]], 31/2211840],
[[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [18, 1]], 31/829440],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 1/442368],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 73/5971968],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/9216],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 7/1327104],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 23/3317760],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 11/663552],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 5/21233664],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 1/1658880],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/61440],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 79/3932160],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 7/737280],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 7/307200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [12, 1]], 1/737280],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 29/1474560],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/737280],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/5898240],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 29/2949120],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 37/1769472],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 7/70778880],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 7/345600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 13/5898240],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 17/1244160],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 217/26542080],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 523/212336640],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 31/4423680],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 7/4423680],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 31/176947200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/10616832],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 263/283115520],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/294912],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 25/28311552],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 103/318504960],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 1/414720],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1/1474560],
[[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 1/265420800],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 11/106168320],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 1/2654208],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2654208],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 7/88473600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 19/18432000],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 53/5898240],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/614400],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 547/58982400],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 7/17694720],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 137/1274019840],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 379/132710400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 1/117964800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 143/5096079360],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 241/353894400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/70778880],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/44236800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 1/3822059520],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/66355200],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1061683200],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 7/5898240],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 181/203843174400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 29/796262400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/16384],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 5/49152],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/81920],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [20, 1]], 1/9600],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 1/147456],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 11/110592],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 11/196608],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [20, 1]], 1/10240],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [10, 1]], 1/122880],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 7/147456],
[[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [12, 2]], 1/34560],
[[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [20, 1]], 1/9600],
[[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [16, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 1655/7077888],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 2329/1327104],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [16, 1]], 1/221184],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 19/46080],
[[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 1], [4, 5], [10, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 1], [4, 6], [5, 1], [6, 1]], 1/16588800],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 91/6635520],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [10, 1]], 1/16588800],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 221/2654208],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [15, 1]], 1/2560],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 203/1327104],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 2353/373248],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [20, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 1/368640],
[[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [12, 2]], 1/7680],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 11/884736],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 233/497664],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [20, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 1/331776],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 67/1492992],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 1/442368],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 13/995328],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [15, 1]], 1/960],
[[[1, 3], [2, 2], [3, 2], [5, 1], [10, 1], [15, 1]], 1/600],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [16, 1]], 5/20736],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [24, 1]], 1/576],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 1/216],
[[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [15, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/221184],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 1/360],
[[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [24, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/1296],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/49152],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 1/368640],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [12, 2]], 1/7680],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 11/46080],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/8192],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 3/12800],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 13/102400],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [12, 2]], 11/14400],
[[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [20, 1]], 7/500],
[[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 2], [6, 2], [10, 1], [30, 1]], 1/7680],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [12, 2]], 11/46080],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/8192],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [20, 1]], 3/12800],
[[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 49/49152],
[[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [24, 1]], 25/18432],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 1/245760],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/110592],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 7/1769472],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [20, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 7/442368],
[[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 7/34560],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 2], [4, 4], [5, 1], [10, 1], [12, 1]], 29/230400],
[[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 3], [2, 2], [5, 1], [6, 2], [10, 1], [30, 1]], 1/600],
[[[1, 3], [2, 2], [5, 1], [8, 1], [10, 1], [16, 1]], 3/3200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 7/737280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [12, 2]], 7/207360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [20, 1]], 7/57600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 149/1769472],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 233/331776],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [20, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/165888],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 5/41472],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 107/1179648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 7/294912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 5/110592],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [12, 2]], 7/207360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [20, 1]], 7/57600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [16, 1]], 7/55296],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 2729/3538944],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1247/663552],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 19/73728],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 23/30720],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 25/2654208],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 7/49152],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/983040],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 7/829440],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 695/10616832],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 143/663552],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1/327680],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 263/2654208],
[[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 7/829440],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 1/221184],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 6953/28311552],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 1/221184],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 859/1327104],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [16, 1]], 7/92160],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [24, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/576],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [16, 1]], 7/92160],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [15, 1]], 7/11520],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 95/663552],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 5/20736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1201/11943936],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 5/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 1/221184],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 197/5308416],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 1415/2985984],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [20, 1]], 7/103680],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 1/12288],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 1/12288],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 49/995328],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 29/27648],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 5357/15925248],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 2693/1990656],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 7/1474560],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 97/10616832],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 91/5971968],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [15, 1]], 7/8640],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [16, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [24, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [18, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 323/995328],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 227/62208],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 19/995328],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 5/884736],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 7/147456],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/1440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 1/184320],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 1/829440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/64000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 5/16384],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 13/51200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 3/3200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2400],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 7/221184],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 5/2304],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 5/16384],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 25/442368],
[[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [24, 1]], 11/49152],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 49/1474560],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [12, 2]], 1/23040],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [20, 1]], 1/6400],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 25/165888],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 5/24576],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 7/46080],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 19/491520],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 7/73728],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/23040],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [20, 1]], 1/6400],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/491520],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 29/51200],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 7/12288],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 73/76800],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/294912],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 7/12288],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 23/589824],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 121/2949120],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 919/2654208],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 1/1244160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/96000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/16384],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 25/27648],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 65/3981312],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 7/18432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/61440],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 209/3932160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 5/221184],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/552960],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 18769/141557760],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 13/921600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 1979/26542080],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 41/884736],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [20, 1]], 37/921600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 19/294912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 5/331776],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 199/221184],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 49/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 7/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 7/2764800],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 3641/21233664],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 73/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 119/331776],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 511/17694720],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 95/1769472],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/3932160],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 61627/849346560],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 3/655360],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 463/4423680],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/24000],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/43200],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [16, 1]], 37/1474560],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [24, 1]], 5/49152],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 5/18432],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 59/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 7/345600],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 1/165888],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 7/55296],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 7/55296],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 421/5971968],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 43/622080],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 53/55296],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 475/5308416],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 109/3317760],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 473/663552],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 41/4423680],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1397/63700992],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 23/2211840],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 139/3981312],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 7/103680],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 5/995328],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 19/622080],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 11/165888],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/3981312],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/110592],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 13/737280],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 11/96000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 7/1658880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/102400],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 773/7077888],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 1/24576],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 7/1474560],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 23/921600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 23/307200],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 5/147456],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 13/184320],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 107/4423680],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 5/147456],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 697/5898240],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 79/921600],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 139/983040],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 115/442368],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 1/2488320],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 221/23592960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 29/460800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 11/4423680],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 641/31850496],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 43/829440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 121/1769472],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/176947200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 3097/70778880],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 161/4423680],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 13/491520],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 7/786432],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 31/10616832],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 7/8847360],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 10903/424673280],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 89/4423680],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 371/21233664],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/172800],
[[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 1/36864],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 1/1105920],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 2881/318504960],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 17/368640],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 371/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 31/265420800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 1/3981312],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 91/23592960],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 223/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 19/2654208],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 1/1658880],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 41/159252480],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 1/2488320],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 101/79626240],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 97/88473600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 13/460800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 289/18432000],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [12, 1]], 1/3686400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 449/17694720],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 1/442368],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 1/3686400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 19/19660800],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 37/1843200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 1141/35389440],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 59/5898240],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 17/921600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 7/132710400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 13/55296000],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1169/424673280],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 373/14745600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 1/4423680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 19/70778880],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 1/53084160],
[[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/353894400],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 2741/1698693120],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 179/14745600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 11/23592960],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 1/27648000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 17/14745600],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 163/3822059520],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 149/132710400],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/13271040],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 37/1061683200],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 41/18432000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 847/88473600],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 1/17694720],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 1/1592524800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 3811/101921587200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 257/265420800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/707788800],
[[[1, 3], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/9216],
[[[1, 3], [3, 2], [4, 1], [5, 1], [8, 1], [15, 1]], 1/960],
[[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 1/3456],
[[[1, 3], [4, 1], [5, 1], [8, 1], [12, 1], [24, 1]], 1/960],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 1/16384],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 1/294912],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/81920],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [20, 1]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 11/110592],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 31/589824],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 1/10240],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 1/122880],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 5/147456],
[[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [12, 2]], 1/34560],
[[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [20, 1]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [16, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 7/2359296],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 1/49152],
[[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 1], [4, 5], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 1/53084160],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [16, 1]], 1/36864],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/5184],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/368640],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [12, 2]], 1/7680],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/2560],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 5/884736],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 179/497664],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [20, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 1/442368],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 13/995328],
[[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [15, 1]], 1/960],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [15, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/360],
[[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [24, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 1/1296],
[[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/46080],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [20, 1]], 1/12800],
[[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/46080],
[[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/12800],
[[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 37/294912],
[[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 7/18432],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 1/245760],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1769472],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/442368],
[[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/34560],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 19/491520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [20, 1]], 1/6400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 197/5308416],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1415/2985984],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [20, 1]], 7/103680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 25/165888],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 5/24576],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 7/46080],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 49/1474560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 7/73728],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [20, 1]], 1/6400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 2729/3538944],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1247/663552],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 19/73728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 23/30720],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 5/884736],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 7/147456],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 121/2949120],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 97/10616832],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 91/5971968],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 23/589824],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 919/2654208],
[[[1, 4], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 1/221184],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 6953/28311552],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/221184],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 859/1327104],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 7/165888],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [24, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 7/8640],
[[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 5/2304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 95/663552],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 5/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 7/221184],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 149/1769472],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 233/331776],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [20, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/12288],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/12288],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 19/995328],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/294912],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 5357/15925248],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 2693/1990656],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 695/10616832],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 143/663552],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 1/960],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [24, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 1/576],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/110592],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 323/995328],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 227/62208],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 49/995328],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 29/27648],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 25/2654208],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 7/49152],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1201/11943936],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 5/3456],
[[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/165888],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/184320],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 5/16384],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 13/51200],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 3/3200],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/230400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/64000],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2400],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/221184],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 7/11520],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 5/16384],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 25/442368],
[[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [24, 1]], 11/49152],
[[[1, 4], [2, 3], [4, 1], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 7/294912],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 7/207360],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [20, 1]], 7/57600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 5/41472],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 107/1179648],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 7/737280],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 5/110592],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 7/207360],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [20, 1]], 7/57600],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [16, 1]], 7/55296],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 7/1474560],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 29/51200],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 7/12288],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 73/76800],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 7/12288],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 1/327680],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 7/829440],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/983040],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 263/2654208],
[[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 7/829440],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [16, 1]], 7/92160],
[[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [16, 1]], 7/92160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 13/1244160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 7/368640],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/96000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 7/92160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 25/221184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 1/18432],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 25/27648],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 115/11943936],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 7/55296],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 7/921600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 659/3932160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 13/368640],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 31/442368],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 7/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 13/1658880],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 56777/84934656],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 3/102400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 13697/47775744],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 23/49152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [20, 1]], 167/829440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 175/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/110592],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 581/663552],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 19/737280],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 179/3538944],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 31/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 2701/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 71/2211840],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 23/41472],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 611/8847360],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 527/1769472],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 2117/35389440],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 25435/28311552],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 221/3538944],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 25583/11943936],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 13/72000],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/43200],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 167/1327104],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [24, 1]], 11/49152],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/36864],
[[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 11/18432],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 215/2654208],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/345600],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 7/165888],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 25/55296],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 25/55296],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 251/1990656],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 37/622080],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 29/18432],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 299/3317760],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/184320],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1511/1769472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 77/663552],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 445/124416],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 107/4423680],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 1/331776],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/368640],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 61/497664],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 5/442368],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1027/3981312],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 137/259200],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 23/207360],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 7/27648],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 145/1990656],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 5/124416],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 131/165888],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 161/7962624],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 5/331776],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 155/663552],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/11943936],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 31/737280],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 11/96000],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/110592],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/921600],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 1487/7077888],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/24576],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 37/442368],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 29/1474560],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 7/921600],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 503/307200],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 113/368640],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 113/153600],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 41/4423680],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 7/331776],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 113/368640],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 97/589824],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 29/307200],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 209/1179648],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 215/442368],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 17/1244160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 5497/70778880],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 29/460800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 37/1474560],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 5689/95551488],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 47/829440],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 311/1769472],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 271/4423680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 2911/176947200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 43/1843200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 9137/42467328],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 85/663552],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 557/2654208],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 611/11796480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1901/53084160],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1/81920],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 87583/424673280],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 467/8847360],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 3199/21233664],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/13824],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 7/184320],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 47/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/265420800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 3727/35389440],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 473/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 37/163840],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 131/17694720],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 13/3981312],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 53/13271040],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 11621/212336640],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 85/1327104],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 2963/39813120],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 11/1036800],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 5/331776],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 611/159252480],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 23/1244160],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1691/79626240],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 53/5898240],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 43/460800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 149/1228800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 7/1228800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 437/17694720],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 5/442368],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 7/1228800],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1889/19660800],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 37/230400],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 4867/35389440],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 929/10616832],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 89/921600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 379/132710400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1/117964800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 253/55296000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 2443/79626240],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 2023/26542080],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 23/4423680],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 1183/265420800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 1/1966080],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 769/353894400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 24283/849346560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 7679/132710400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 389/53084160],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/44236800],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 161/27648000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 3/327680],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/66355200],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 803/212336640],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 2107/132710400],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1/491520],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 7/5898240],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 521/18432000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 967/35389440],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 23/17694720],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 29/796262400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 286673/305764761600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 4439/530841600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 41/707788800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 19/589824],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 17/491520],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [20, 1]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/153600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 5/5308416],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 179/2985984],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [20, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 13/221184],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 5/32768],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 31/1474560],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 5/73728],
[[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [16, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [20, 1]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 407/7077888],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 29/124416],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [20, 1]], 41/552960],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 121/2949120],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/184320],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 13/276480],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 11/5308416],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 13/5971968],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 7/184320],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 61/221184],
[[[1, 5], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 13/276480],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 67/18874368],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 281/31850496],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [16, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [30, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 1], [8, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/184320],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 5/2304],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/24576],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 37/589824],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 305/995328],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [20, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 7/1474560],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 29/5308416],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/8192],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/1474560],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 623/10616832],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 403/1990656],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [18, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [16, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [24, 1]], 7/13824],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 7/5184],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 5/165888],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 11/27648],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 37/2654208],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 79/442368],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1440],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 7/20736],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1201/11943936],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 5/3456],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 1/829440],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 13/1990656],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 7/27648],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 31/1990656],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 7/41472],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 37/491520],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/30720],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 1/230400],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/64000],
[[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 37/491520],
[[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 7/491520],
[[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 5/49152],
[[[1, 5], [2, 2], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 17/1474560],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/207360],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [20, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 17/663552],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 11/1179648],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 1/20480],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/207360],
[[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [20, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [16, 1]], 1/55296],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/294912],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/153600],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/327680],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 1/829440],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 19/1327104],
[[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/829440],
[[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [16, 1]], 1/92160],
[[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/103680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/24576],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/10240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 11/96000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 215/2654208],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 7/165888],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/11943936],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/921600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 1487/7077888],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 31/737280],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 37/442368],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 5/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 3/102400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 56777/84934656],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 13697/47775744],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 23/49152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [20, 1]], 167/829440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 161/7962624],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 155/663552],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 5/442368],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 209/1179648],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 29/307200],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 61/497664],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/368640],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1027/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 97/589824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 215/442368],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 221/3538944],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 25435/28311552],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 2117/35389440],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 25583/11943936],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/7200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 13/72000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 167/1327104],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [24, 1]], 11/49152],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 11/18432],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 5/124416],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 25/221184],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 25/55296],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 25/55296],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 145/1990656],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 131/165888],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 77/663552],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 41/4423680],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 7/921600],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1511/1769472],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 299/3317760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 445/124416],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 29/1474560],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 7/331776],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 71/2211840],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 2701/10616832],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 19/737280],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 23/41472],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 23/207360],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 137/259200],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 37/622080],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 25/27648],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 251/1990656],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 29/18432],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/110592],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/110592],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 175/2654208],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 13/1658880],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 581/663552],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/43200],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 115/11943936],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 13/1244160],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 7/55296],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 13/368640],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 7/92160],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/184320],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 7/921600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/96000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 659/3932160],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 31/442368],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 7/92160],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 107/4423680],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/184320],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 503/307200],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 113/368640],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 113/153600],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/331776],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 113/368640],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 611/8847360],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 31/2764800],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 179/3538944],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 527/1769472],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 43/829440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 73/1382400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 52963/212336640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/13824],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 167/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 6373/95551488],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 23/1244160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1109/5308416],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 497/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 161/1310720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 53/368640],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 7/276480],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 15287/42467328],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 181/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1183/2654208],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 5827/35389440],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 8411/53084160],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 7/276480],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 191/1105920],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 328073/254803968],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 349/1769472],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 120407/127401984],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/36864],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 17/115200],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 7/51200],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 5/331776],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1/5760],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 31/265420800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 23/1382400],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 9775/21233664],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 43/165888],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1891/2654208],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 437/17694720],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 559/13271040],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 16783/70778880],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 329/3317760],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 13073/39813120],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1658880],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 19/207360],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 7/184320],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2488320],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 917/31850496],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 47/829440],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 67/589824],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 449/17694720],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 113/1382400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1039/1228800],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 5/221184],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 5/55296],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 131/17694720],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 13/663552],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 5/221184],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 7669/35389440],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 121/460800],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 173/786432],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 2159/10616832],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 79/460800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 2399/44236800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 467/70778880],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 31/737280],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 7403/63700992],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 379/2949120],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 457/13271040],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 6649/265420800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 637/159252480],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 481/14745600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 583/3145728],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 71197/530841600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 341/5898240],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 97/14745600],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 101/1843200],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 721/26542080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 1109/132710400],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 533/13271040],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 1801/26542080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 239/13271040],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 2527/88473600],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1447/11059200],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 371/7077888],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 377/53084160],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 389/265420800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1317077/122305904640],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 1631/53084160],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 31/35389440],
[[[1, 5], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 1/196608],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 7/1474560],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/153600],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 1/221184],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 37/1179648],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [20, 1]], 1/61440],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 7/7077888],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 23/1990656],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [20, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 1/983040],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 13/884736],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 13/56623104],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 29/31850496],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/184320],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 7/11520],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/230400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 13/884736],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [12, 2]], 1/55296],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/491520],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 1/3538944],
[[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [24, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/5184],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 1/98304],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 37/442368],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1440],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/829440],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 1/1990656],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 31/1990656],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 7/41472],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/491520],
[[[1, 6], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/491520],
[[[1, 6], [2, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1474560],
[[[1, 6], [2, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 31/2211840],
[[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/663552],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/184320],
[[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/983040],
[[[1, 6], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/2654208],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 7/345600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/102400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 11/96000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 59/2654208],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 1/165888],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 773/7077888],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 13/737280],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 1/24576],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/110592],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 13/921600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 18769/141557760],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1979/26542080],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 41/884736],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [20, 1]], 37/921600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/3981312],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 23/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 139/983040],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 79/921600],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1397/63700992],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 139/3981312],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 697/5898240],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 115/442368],
[[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 3/655360],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 61627/849346560],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/3932160],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 463/4423680],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 1/61440],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/24000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 37/1474560],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [24, 1]], 5/49152],
[[[1, 6], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 5/18432],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 19/622080],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/16384],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 7/55296],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 7/55296],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 5/995328],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 11/165888],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 109/3317760],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 107/4423680],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 23/921600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 475/5308416],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 473/663552],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 7/1474560],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 73/2211840],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 3641/21233664],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 49/2211840],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 119/331776],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 7/103680],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 43/622080],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 25/27648],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 421/5971968],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 53/55296],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 7/1658880],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 5/331776],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 19/294912],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 199/221184],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/43200],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 65/3981312],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 1/1244160],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 7/18432],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/61440],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/96000],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 209/3932160],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 5/221184],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 41/4423680],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 23/307200],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 5/147456],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 13/184320],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 5/147456],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 511/17694720],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 7/2764800],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 7/1105920],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 95/1769472],
[[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 47/829440],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/13824],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 52963/212336640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 73/1382400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 167/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 917/31850496],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2488320],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 67/589824],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 329/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 173/786432],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 121/460800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 16783/70778880],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 559/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 13073/39813120],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 7669/35389440],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 2159/10616832],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 349/1769472],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 328073/254803968],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 191/1105920],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 120407/127401984],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 7/184320],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 19/207360],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 79/460800],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1658880],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 43/165888],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 131/17694720],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 113/1382400],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 9775/21233664],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1891/2654208],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 449/17694720],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 13/663552],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 181/1327104],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 15287/42467328],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 497/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1183/2654208],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 5/331776],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 17/115200],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 23/1244160],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 6373/95551488],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 43/829440],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 1109/5308416],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 437/17694720],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 23/1382400],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1039/1228800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 5/221184],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 5/55296],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 31/265420800],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 1/73728],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 5/221184],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 5827/35389440],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 53/368640],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 7/276480],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 161/1310720],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 8411/53084160],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 7/276480],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 7/51200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 3943/26542080],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 12943/265420800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 67/409600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 13483/70778880],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 3529/26542080],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 337/4423680],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 917/11796480],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 1939/159252480],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 26381/132710400],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 125359/169869312],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 5437/21233664],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 74803/318504960],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 5/196608],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 841/3317760],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1009/26542080],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 8827/132710400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 29459/212336640],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 443/2949120],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 833/13271040],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 2983/35389440],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 2551/11059200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 20089/265420800],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 257/17694720],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 9023/530841600],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 758633/13589544960],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 4247/66355200],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 211/35389440],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 7/737280],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/57600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1/61440],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/442368],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 79/3932160],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/147456],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 13/921600],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 109/9437184],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 511/79626240],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 5/884736],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [20, 1]], 11/2764800],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/368640],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 29/2949120],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 5/21233664],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/5898240],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 37/1769472],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 23/11796480],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 5647/849346560],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 377/39813120],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [16, 1]], 11/4423680],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [24, 1]], 31/2211840],
[[[1, 7], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 31/829440],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 7/345600],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 23/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 29/1474560],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 7/307200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 7/1327104],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 11/663552],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/245760],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 133/7077888],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 13/442368],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/103680],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 7/27648],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 73/5971968],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/9216],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/1658880],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 13/1658880],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 149/7962624],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 19/73728],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 13/1244160],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 31/3981312],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 49/165888],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/102400],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 43/7077888],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/442368],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/737280],
[[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 7], [2, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/737280],
[[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 37/5898240],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 23/1244160],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 29/460800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 5497/70778880],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 37/1474560],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 611/159252480],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 1691/79626240],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 85/1327104],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 4867/35389440],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 37/230400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 11621/212336640],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 53/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 2963/39813120],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1889/19660800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 929/10616832],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 467/8847360],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 87583/424673280],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1/81920],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 3199/21233664],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 5/331776],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 11/1036800],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 89/921600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 473/3317760],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 437/17694720],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 43/460800],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 3727/35389440],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 47/3317760],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 37/163840],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 53/5898240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 5/442368],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 85/663552],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 9137/42467328],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 271/4423680],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 557/2654208],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 7/184320],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 47/829440],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 5689/95551488],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 17/1244160],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 311/1769472],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 131/17694720],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 149/1228800],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 7/1228800],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/265420800],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 13/3981312],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 7/1228800],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 611/11796480],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 43/1843200],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/276480],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 2911/176947200],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1901/53084160],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 443/2949120],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 20089/265420800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 2551/11059200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 29459/212336640],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 8827/132710400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 833/13271040],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 2983/35389440],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 257/17694720],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 5437/21233664],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 125359/169869312],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 26381/132710400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 74803/318504960],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1009/26542080],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 841/3317760],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 5/196608],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 3529/26542080],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 13483/70778880],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 3943/26542080],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 337/4423680],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 917/11796480],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 67/409600],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 12943/265420800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 1939/159252480],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 19183/265420800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 889481/5662310400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 101/1036800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 6271/353894400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/737280],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 7/921600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 7/11796480],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/307200],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 61/141557760],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2]], 1/8847360],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/655360],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/1769472],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/3932160],
[[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 1/14155776],
[[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [24, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/829440],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/345600],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 7/1474560],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/1179648],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/442368],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 7/1658880],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/552960],
[[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 1/3981312],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/1244160],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 7/165888],
[[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/7077888],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 1/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 29/460800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 221/23592960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 11/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 41/159252480],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 101/79626240],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 223/13271040],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1141/35389440],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 37/1843200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 91/23592960],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 19/2654208],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 19/19660800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 59/5898240],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 89/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 10903/424673280],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 7/8847360],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 371/21233664],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 1/1658880],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 17/921600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 17/368640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 449/17694720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 13/460800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 2881/318504960],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/1105920],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 371/13271040],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 97/88473600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 161/4423680],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 3097/70778880],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 13/491520],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 1/36864],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/172800],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 43/829440],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 641/31850496],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 1/2488320],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 121/1769472],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 31/265420800],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 289/18432000],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/3686400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3981312],
[[[1, 8], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 1/3686400],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 7/786432],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/176947200],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 31/10616832],
[[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 1801/26542080],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 371/7077888],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1447/11059200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 533/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 1109/132710400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 239/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 2527/88473600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 377/53084160],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 71197/530841600],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 583/3145728],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 481/14745600],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 341/5898240],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 721/26542080],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 101/1843200],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 97/14745600],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 379/2949120],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 7403/63700992],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 2399/44236800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 457/13271040],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 6649/265420800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 31/737280],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 467/70778880],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 637/159252480],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 101/1036800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 889481/5662310400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 19183/265420800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 6271/353894400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 7/345600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 7/70778880],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 1/2654208],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 547/58982400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/614400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 11/106168320],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2654208],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 7/17694720],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/294912],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 263/283115520],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 25/28311552],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/414720],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 53/5898240],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 103/318504960],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/1474560],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 7/88473600],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 31/4423680],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 523/212336640],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 7/4423680],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 17/1244160],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 13/5898240],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 217/26542080],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/265420800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 19/18432000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 31/176947200],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/10616832],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 2107/132710400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 967/35389440],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 521/18432000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 803/212336640],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/66355200],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 1/491520],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 7/5898240],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 23/17694720],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 7679/132710400],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 24283/849346560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 769/353894400],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 389/53084160],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 3/327680],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 161/27648000],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/44236800],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 2023/26542080],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 2443/79626240],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 379/132710400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 23/4423680],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1183/265420800],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 253/55296000],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/117964800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1966080],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 4247/66355200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 758633/13589544960],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 9023/530841600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 211/35389440],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1382400],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 19/19660800],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/8847360],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/94371840],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/28311552],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 97/88473600],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/2211840],
[[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 7/212336640],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2488320],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 7/53084160],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 7/26542080],
[[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/176947200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 149/132710400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 847/88473600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 41/18432000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 163/3822059520],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/13271040],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 37/1061683200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 1/17694720],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 179/14745600],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 2741/1698693120],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/353894400],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 11/23592960],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 17/14745600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/27648000],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 373/14745600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1169/424673280],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 7/132710400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1/4423680],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 19/70778880],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 13/55296000],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/53084160],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 1631/53084160],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1317077/122305904640],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 389/265420800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 31/35389440],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/66355200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 7/5898240],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 1/3822059520],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/1061683200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 241/353894400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 143/5096079360],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/70778880],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/44236800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 379/132710400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 137/1274019840],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/117964800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 4439/530841600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 286673/305764761600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 29/796262400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 41/707788800],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 37/1061683200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/353894400],
[[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/2548039680],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 7/132710400],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/637009920],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 257/265420800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 3811/101921587200],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 1/1592524800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/707788800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 29/796262400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 181/203843174400],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/1592524800],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/203843174400],
[[[2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960],
[[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/3456],
[[[2, 3], [4, 1], [8, 1], [10, 1], [12, 1], [24, 1]], 1/960],
[[[2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/9216],
[[[2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 25/55296],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/221184],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 5/27648],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/432],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 5/110592],
[[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/3456],
[[[1, 1], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1], [24, 1]], 1/960],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/9216],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/27648],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/5184],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/55296],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 19/82944],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/23040],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/12288],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/3840],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 7/18432],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 13/1327104],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/960],
[[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/360],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/18432],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 7/13824],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/884736],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/49152],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 7/11520],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3317760],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/3317760],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1105920],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/589824],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/44236800],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 25/55296],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/221184],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 5/27648],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/432],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 5/110592],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [15, 1]], 1/960],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 1/3456],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [12, 1], [24, 1]], 1/960],
[[[1, 2], [2, 1], [4, 1], [8, 1], [10, 1], [12, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/1440],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 7/55296],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 19/25920],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 301/165888],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 43/73728],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/4096],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/36864],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 185/55296],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/1536],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 103/103680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 5/3456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 7/18432],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 13/414720],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1631/1327104],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 13/414720],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/960],
[[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/360],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 161/82944],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/6144],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/1536],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 65/884736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 7/18432],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 53/442368],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 7/6912],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 7/20736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 7/20736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 7/18432],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 7/11520],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 19/276480],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 37/165888],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 13/737280],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/73728],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 19/414720],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/640],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 31/3317760],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 31/3317760],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/552960],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/36864],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/737280],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 17/552960],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 787/26542080],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1658880],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 91/44236800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2949120],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/1536],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 103/103680],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 301/165888],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 43/73728],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/4096],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 185/55296],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/1536],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 19/25920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 5/3456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 13/414720],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1631/1327104],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 13/414720],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/360],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 161/82944],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 7/55296],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 11/92160],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 7/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/4800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 9/16384],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 25/18432],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/46080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 97/221184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 25/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 7/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 13/276480],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 25/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 25/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 49/165888],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 301/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 13/27648],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 331/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 3661/442368],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 13/27648],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 43/414720],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 91/62208],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 11/5760],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/276480],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 23/165888],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/115200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/12800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/276480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/172800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5/73728],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5/73728],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 47/552960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 49/331776],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 77/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/153600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 13/184320],
[[[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], [8, 1], [12, 1]], 7477/26542080],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 13/184320],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 73/1658880],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 85/995328],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/115200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 13/44236800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 29/2764800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/921600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1537/44236800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 251/26542080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 7/13824],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/61440],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 19/82944],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/12288],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 13/1327104],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/960],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/360],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/5184],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/46080],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 7/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/4800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 9/16384],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 25/18432],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 11/92160],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 97/221184],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 25/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/276480],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 25/27648],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 25/27648],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23/165888],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 331/2211840],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 13/27648],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 301/2211840],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 3661/442368],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 13/27648],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 43/414720],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 11/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 91/62208],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 13/276480],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 49/165888],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/12800],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 53/552960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 17/172800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/34560],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 11/73728],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 11/73728],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 169/1658880],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 139/442368],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 227/460800],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 173/276480],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 281/737280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1063/589824],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 173/276480],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/38400],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/331776],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/34560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/61440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 61/248832],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 7/34560],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1783/44236800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 317/2764800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/307200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 18401/132710400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 607/8847360],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 65/884736],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 7/18432],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 53/442368],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 7/6912],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7/27648],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 13/737280],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/73728],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 19/414720],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/640],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 7/20736],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 7/20736],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 19/276480],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 37/165888],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/61440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/28800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 7/34560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 11/73728],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 11/73728],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/331776],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 61/248832],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/34560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 281/737280],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 227/460800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 173/276480],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 139/442368],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1063/589824],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 173/276480],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/38400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 169/1658880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 17/172800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 53/552960],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/34560],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1817/8847360],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 451/460800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 11/92160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7201/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 16157/79626240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 11/92160],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/884736],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/49152],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/245760],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 73/1658880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 13/115200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5/73728],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5/73728],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 85/995328],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[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], [10, 1]], 1/153600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 13/184320],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 77/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7477/26542080],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 13/184320],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 47/552960],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/172800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/276480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 49/331776],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7201/26542080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 451/460800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 11/92160],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1817/8847360],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 16157/79626240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 11/92160],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1658880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 31/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 31/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 17/552960],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/737280],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 787/26542080],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/552960],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/36864],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 18401/132710400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 317/2764800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/307200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1783/44236800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 607/8847360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/589824],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1537/44236800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 29/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/921600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 13/44236800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 251/26542080],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 91/44236800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2949120],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/44236800],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 23/3456],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 13/576],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 23/3456],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 13/576],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/19200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/69120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 59/21600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 31/69120],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/19200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 59/21600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 31/69120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680]
]}