{[
[[[1, 25]], 1/32038520944066560000],
[[[2, 25]], 1/32038520944066560000],
[[[1, 1], [2, 24]], 29/6407704188813312000],
[[[1, 2], [2, 23]], 1/3559835660451840],
[[[1, 3], [2, 22]], 97/9888432390144000],
[[[1, 4], [2, 21]], 342157/1601926047203328000],
[[[1, 5], [2, 20]], 24404609/8009630236016640000],
[[[1, 6], [2, 19]], 116993729/4004815118008320000],
[[[1, 7], [2, 18]], 763267697/4004815118008320000],
[[[1, 7], [3, 9]], 1/362797056],
[[[1, 8], [2, 17]], 1295584891/1525643854479360000],
[[[1, 9], [2, 16]], 1311507929/508547951493120000],
[[[1, 9], [3, 8]], 43/1934917632],
[[[1, 9], [5, 4]], 1/160000],
[[[1, 10], [2, 15]], 1614523/302707113984000],
[[[1, 11], [2, 14]], 49071559/6356849393664000],
[[[1, 11], [3, 7]], 23371/541776936960],
[[[1, 12], [2, 13]], 3354023/385263599616000],
[[[1, 13], [2, 12]], 3354023/385263599616000],
[[[1, 13], [3, 6]], 1957/90296156160],
[[[1, 13], [5, 3]], 311/11612160000],
[[[1, 13], [7, 2]], 1/1219276800],
[[[1, 14], [2, 11]], 49071559/6356849393664000],
[[[1, 15], [2, 10]], 1614523/302707113984000],
[[[1, 15], [3, 5]], 43237/17027275161600],
[[[1, 15], [11, 1]], 1/735746457600],
[[[1, 16], [2, 9]], 1311507929/508547951493120000],
[[[1, 17], [2, 8]], 1295584891/1525643854479360000],
[[[1, 17], [3, 4]], 72041/667469186334720],
[[[1, 17], [4, 4]], 1/141263319859200],
[[[1, 17], [5, 2]], 533/57224724480000],
[[[1, 18], [2, 7]], 763267697/4004815118008320000],
[[[1, 19], [2, 6]], 116993729/4004815118008320000],
[[[1, 19], [3, 3]], 219467/133493837266944000],
[[[1, 19], [7, 1]], 107/5562243219456000],
[[[1, 19], [9, 1]], 1/5562243219456000],
[[[1, 20], [2, 5]], 24404609/8009630236016640000],
[[[1, 21], [2, 4]], 342157/1601926047203328000],
[[[1, 21], [3, 2]], 1/94810963968000],
[[[1, 21], [4, 2]], 1/33373459316736000],
[[[1, 21], [5, 1]], 1/993257717760000],
[[[1, 22], [2, 3]], 97/9888432390144000],
[[[1, 23], [2, 2]], 1/3559835660451840],
[[[1, 23], [3, 1]], 1/33373459316736000],
[[[1, 24], [2, 1]], 29/6407704188813312000],
[[[2, 7], [6, 9]], 1/362797056],
[[[2, 9], [6, 8]], 43/1934917632],
[[[2, 9], [10, 4]], 1/160000],
[[[2, 11], [6, 7]], 23371/541776936960],
[[[2, 13], [6, 6]], 1957/90296156160],
[[[2, 13], [10, 3]], 311/11612160000],
[[[2, 13], [14, 2]], 1/1219276800],
[[[2, 15], [6, 5]], 43237/17027275161600],
[[[2, 15], [22, 1]], 1/735746457600],
[[[2, 17], [4, 4]], 1/141263319859200],
[[[2, 17], [6, 4]], 72041/667469186334720],
[[[2, 17], [10, 2]], 533/57224724480000],
[[[2, 19], [6, 3]], 219467/133493837266944000],
[[[2, 19], [14, 1]], 107/5562243219456000],
[[[2, 19], [18, 1]], 1/5562243219456000],
[[[2, 21], [4, 2]], 1/33373459316736000],
[[[2, 21], [6, 2]], 1/94810963968000],
[[[2, 21], [10, 1]], 1/993257717760000],
[[[2, 23], [6, 1]], 1/33373459316736000],
[[[1, 1], [2, 6], [6, 9]], 1/362797056],
[[[1, 1], [2, 8], [6, 8]], 175/1934917632],
[[[1, 1], [2, 8], [10, 4]], 1/32000],
[[[1, 1], [2, 10], [6, 7]], 34469/108355387392],
[[[1, 1], [2, 12], [6, 6]], 149/564350976],
[[[1, 1], [2, 12], [10, 3]], 1633/2322432000],
[[[1, 1], [2, 12], [14, 2]], 47/1219276800],
[[[1, 1], [2, 14], [4, 5]], 743/35315829964800],
[[[1, 1], [2, 14], [6, 5]], 3537047/59595463065600],
[[[1, 1], [2, 14], [22, 1]], 79/735746457600],
[[[1, 1], [2, 16], [4, 4]], 73/141263319859200],
[[[1, 1], [2, 16], [6, 4]], 13651699/3337345931673600],
[[[1, 1], [2, 16], [10, 2]], 19/32188907520],
[[[1, 1], [2, 18], [4, 3]], 18971/133493837266944000],
[[[1, 1], [2, 18], [6, 3]], 13114223/133493837266944000],
[[[1, 1], [2, 18], [14, 1]], 1927/1112448643891200],
[[[1, 1], [2, 18], [18, 1]], 109/5562243219456000],
[[[1, 1], [2, 20], [4, 2]], 109/33373459316736000],
[[[1, 1], [2, 20], [6, 2]], 7591/8343364829184000],
[[[1, 1], [2, 20], [8, 1]], 1/2781121609728000],
[[[1, 1], [2, 20], [10, 1]], 1/9656672256000],
[[[1, 1], [2, 22], [4, 1]], 1/4944216195072000],
[[[1, 1], [2, 22], [6, 1]], 23/6674691863347200],
[[[1, 2], [2, 7], [6, 8]], 23/322486272],
[[[1, 2], [2, 7], [10, 4]], 1/16000],
[[[1, 2], [2, 9], [6, 7]], 6367/8599633920],
[[[1, 2], [2, 11], [4, 6]], 53/11890851840],
[[[1, 2], [2, 11], [6, 6]], 10729/9029615616],
[[[1, 2], [2, 11], [10, 3]], 2239/387072000],
[[[1, 2], [2, 11], [14, 2]], 691/1219276800],
[[[1, 2], [2, 13], [4, 5]], 26021/35315829964800],
[[[1, 2], [2, 13], [6, 5]], 1779227/3611846246400],
[[[1, 2], [2, 13], [22, 1]], 767/245248819200],
[[[1, 2], [2, 15], [4, 4]], 841/4414478745600],
[[[1, 2], [2, 15], [6, 4]], 7278503/123605404876800],
[[[1, 2], [2, 15], [8, 2]], 1/980995276800],
[[[1, 2], [2, 15], [10, 2]], 352063/25751126016000],
[[[1, 2], [2, 17], [4, 3]], 1369733/133493837266944000],
[[[1, 2], [2, 17], [6, 3]], 50483707/22248972877824000],
[[[1, 2], [2, 17], [14, 1]], 56893/927040536576000],
[[[1, 2], [2, 17], [18, 1]], 89/103004504064000],
[[[1, 2], [2, 19], [3, 2]], 1/7151455567872000],
[[[1, 2], [2, 19], [4, 2]], 3473/5933059434086400],
[[[1, 2], [2, 19], [5, 1]], 1/1986515435520000],
[[[1, 2], [2, 19], [6, 2]], 174959/5562243219456000],
[[[1, 2], [2, 19], [8, 1]], 13/337105649664000],
[[[1, 2], [2, 19], [10, 1]], 4009/927040536576000],
[[[1, 2], [2, 21], [3, 1]], 1/12515047243776000],
[[[1, 2], [2, 21], [4, 1]], 89/4045267795968000],
[[[1, 2], [2, 21], [6, 1]], 611/3708162146304000],
[[[1, 3], [2, 6], [6, 8]], 5/967458816],
[[[1, 3], [2, 6], [10, 4]], 1/16000],
[[[1, 3], [2, 8], [4, 7]], 1/28311552],
[[[1, 3], [2, 8], [6, 7]], 43601/77396705280],
[[[1, 3], [2, 10], [4, 6]], 697/11890851840],
[[[1, 3], [2, 10], [6, 6]], 7781/3224862720],
[[[1, 3], [2, 10], [10, 3]], 23879/1161216000],
[[[1, 3], [2, 10], [14, 2]], 59/16257024],
[[[1, 3], [2, 12], [4, 5]], 1291/29727129600],
[[[1, 3], [2, 12], [6, 5]], 5304209/2708884684800],
[[[1, 3], [2, 12], [22, 1]], 1157/27249868800],
[[[1, 3], [2, 14], [4, 4]], 120413/17657914982400],
[[[1, 3], [2, 14], [6, 4]], 199289177/476763704524800],
[[[1, 3], [2, 14], [8, 2]], 23/326998425600],
[[[1, 3], [2, 14], [10, 2]], 79853/525533184000],
[[[1, 3], [2, 16], [4, 3]], 11429/18059231232000],
[[[1, 3], [2, 16], [6, 3]], 595410103/22248972877824000],
[[[1, 3], [2, 16], [14, 1]], 344803/309013512192000],
[[[1, 3], [2, 16], [18, 1]], 229/11444944896000],
[[[1, 3], [2, 18], [3, 2]], 103/7151455567872000],
[[[1, 3], [2, 18], [4, 2]], 118093/3296144130048000],
[[[1, 3], [2, 18], [5, 1]], 103/1986515435520000],
[[[1, 3], [2, 18], [6, 2]], 9551579/16686729658368000],
[[[1, 3], [2, 18], [8, 1]], 55747/33373459316736000],
[[[1, 3], [2, 18], [10, 1]], 7607/79460617420800],
[[[1, 3], [2, 20], [3, 1]], 109/12515047243776000],
[[[1, 3], [2, 20], [4, 1]], 131137/133493837266944000],
[[[1, 3], [2, 20], [6, 1]], 20483/4767637045248000],
[[[1, 4], [2, 5], [3, 8]], 1/5804752896],
[[[1, 4], [2, 5], [4, 8]], 1/28311552],
[[[1, 4], [2, 5], [5, 4]], 1/160000],
[[[1, 4], [2, 5], [6, 8]], 13/5804752896],
[[[1, 4], [2, 5], [10, 4]], 1/32000],
[[[1, 4], [2, 7], [3, 7]], 1/232190115840],
[[[1, 4], [2, 7], [4, 7]], 7/28311552],
[[[1, 4], [2, 7], [6, 7]], 6953/46438023168],
[[[1, 4], [2, 9], [4, 6]], 5461/7644119040],
[[[1, 4], [2, 9], [5, 3]], 1/184320000],
[[[1, 4], [2, 9], [6, 6]], 13045/5804752896],
[[[1, 4], [2, 9], [10, 3]], 22021/580608000],
[[[1, 4], [2, 9], [14, 2]], 59/5419008],
[[[1, 4], [2, 11], [4, 5]], 29977/53508833280],
[[[1, 4], [2, 11], [6, 5]], 13219229/3250661621760],
[[[1, 4], [2, 11], [11, 1]], 1/2335703040],
[[[1, 4], [2, 11], [22, 1]], 108733/367873228800],
[[[1, 4], [2, 13], [4, 4]], 5322799/35315829964800],
[[[1, 4], [2, 13], [6, 4]], 232423981/143029111357440],
[[[1, 4], [2, 13], [8, 2]], 79/45984153600],
[[[1, 4], [2, 13], [10, 2]], 13201007/14714929152000],
[[[1, 4], [2, 15], [3, 3]], 1/4966288588800],
[[[1, 4], [2, 15], [4, 3]], 2377997/132434362368000],
[[[1, 4], [2, 15], [6, 3]], 10210672873/57211644542976000],
[[[1, 4], [2, 15], [14, 1]], 7162081/618027024384000],
[[[1, 4], [2, 15], [18, 1]], 211433/794606174208000],
[[[1, 4], [2, 17], [3, 2]], 1531/2383818522624000],
[[[1, 4], [2, 17], [4, 2]], 2038259/2118949797888000],
[[[1, 4], [2, 17], [5, 1]], 1411/662171811840000],
[[[1, 4], [2, 17], [6, 2]], 60921169/10012037795020800],
[[[1, 4], [2, 17], [8, 1]], 1267369/33373459316736000],
[[[1, 4], [2, 17], [10, 1]], 2323/1872809164800],
[[[1, 4], [2, 19], [3, 1]], 38609/100120377950208000],
[[[1, 4], [2, 19], [4, 1]], 1047887/44497945755648000],
[[[1, 4], [2, 19], [6, 1]], 3386303/50060188975104000],
[[[1, 5], [2, 4], [3, 8]], 13/5804752896],
[[[1, 5], [2, 4], [4, 8]], 1/28311552],
[[[1, 5], [2, 4], [5, 4]], 1/32000],
[[[1, 5], [2, 4], [6, 8]], 1/5804752896],
[[[1, 5], [2, 4], [10, 4]], 1/160000],
[[[1, 5], [2, 6], [3, 7]], 991/232190115840],
[[[1, 5], [2, 6], [4, 7]], 1/1179648],
[[[1, 5], [2, 6], [6, 7]], 2603/46438023168],
[[[1, 5], [2, 8], [3, 6]], 19/38698352640],
[[[1, 5], [2, 8], [4, 6]], 29761/7644119040],
[[[1, 5], [2, 8], [5, 3]], 43/184320000],
[[[1, 5], [2, 8], [6, 6]], 16201/14511882240],
[[[1, 5], [2, 8], [10, 3]], 197/5120000],
[[[1, 5], [2, 8], [14, 2]], 401/27095040],
[[[1, 5], [2, 10], [3, 5]], 1/103195607040],
[[[1, 5], [2, 10], [4, 5]], 12461/3397386240],
[[[1, 5], [2, 10], [6, 5]], 264211/58047528960],
[[[1, 5], [2, 10], [11, 1]], 43/2335703040],
[[[1, 5], [2, 10], [22, 1]], 81551/73574645760],
[[[1, 5], [2, 12], [4, 4]], 55067051/35315829964800],
[[[1, 5], [2, 12], [5, 2]], 1/21233664000],
[[[1, 5], [2, 12], [6, 4]], 2585364359/715145556787200],
[[[1, 5], [2, 12], [8, 2]], 3463/183936614400],
[[[1, 5], [2, 12], [10, 2]], 1242511/418037760000],
[[[1, 5], [2, 14], [3, 3]], 67/4966288588800],
[[[1, 5], [2, 14], [4, 3]], 27151903/117719433216000],
[[[1, 5], [2, 14], [6, 3]], 8092636337/11442328908595200],
[[[1, 5], [2, 14], [14, 1]], 119159/1648072065024],
[[[1, 5], [2, 14], [18, 1]], 333937/158921234841600],
[[[1, 5], [2, 16], [3, 2]], 12899/794606174208000],
[[[1, 5], [2, 16], [4, 2]], 198418189/14832648585216000],
[[[1, 5], [2, 16], [5, 1]], 9979/220723937280000],
[[[1, 5], [2, 16], [6, 2]], 283920173/7151455567872000],
[[[1, 5], [2, 16], [8, 1]], 157859/317842469683200],
[[[1, 5], [2, 16], [10, 1]], 45683683/4635202682880000],
[[[1, 5], [2, 18], [3, 1]], 180883/20024075590041600],
[[[1, 5], [2, 18], [4, 1]], 74531003/222489728778240000],
[[[1, 5], [2, 18], [6, 1]], 33825749/50060188975104000],
[[[1, 5], [3, 4], [7, 2]], 1/762048],
[[[1, 5], [3, 4], [9, 2]], 1/69984],
[[[1, 5], [3, 5], [11, 1]], 1/2052864],
[[[1, 5], [3, 7], [7, 1]], 1/35271936],
[[[1, 5], [3, 7], [9, 1]], 1/5038848],
[[[1, 5], [3, 8], [4, 2]], 1/483729408],
[[[1, 5], [5, 2], [7, 2]], 1/9800],
[[[1, 6], [2, 1], [3, 9]], 1/362797056],
[[[1, 6], [2, 3], [3, 8]], 5/967458816],
[[[1, 6], [2, 3], [5, 4]], 1/16000],
[[[1, 6], [2, 5], [3, 7]], 2603/46438023168],
[[[1, 6], [2, 5], [4, 7]], 1/1179648],
[[[1, 6], [2, 5], [6, 7]], 991/232190115840],
[[[1, 6], [2, 7], [3, 6]], 949/29023764480],
[[[1, 6], [2, 7], [4, 6]], 6121/849346560],
[[[1, 6], [2, 7], [5, 3]], 51/10240000],
[[[1, 6], [2, 7], [6, 6]], 21377/58047528960],
[[[1, 6], [2, 7], [7, 2]], 1/1806336],
[[[1, 6], [2, 7], [10, 3]], 1913/92160000],
[[[1, 6], [2, 7], [14, 2]], 41/5419008],
[[[1, 6], [2, 9], [3, 5]], 427/51597803520],
[[[1, 6], [2, 9], [4, 5]], 205039/14269022208],
[[[1, 6], [2, 9], [6, 5]], 15937891/5417769369600],
[[[1, 6], [2, 9], [11, 1]], 593/2335703040],
[[[1, 6], [2, 9], [22, 1]], 120323/52553318400],
[[[1, 6], [2, 11], [3, 4]], 79/412782428160],
[[[1, 6], [2, 11], [4, 4]], 1439857/178362777600],
[[[1, 6], [2, 11], [5, 2]], 23/5308416000],
[[[1, 6], [2, 11], [6, 4]], 43650697/9287604633600],
[[[1, 6], [2, 11], [8, 2]], 9137/89181388800],
[[[1, 6], [2, 11], [10, 2]], 400081/69672960000],
[[[1, 6], [2, 13], [3, 3]], 4013/12842119987200],
[[[1, 6], [2, 13], [4, 3]], 1595307209/1059474898944000],
[[[1, 6], [2, 13], [6, 3]], 24375869219/14302911135744000],
[[[1, 6], [2, 13], [7, 1]], 1/11890851840],
[[[1, 6], [2, 13], [9, 1]], 1/76441190400],
[[[1, 6], [2, 13], [14, 1]], 1295981/4682022912000],
[[[1, 6], [2, 13], [18, 1]], 1973779/198651543552000],
[[[1, 6], [2, 15], [3, 2]], 19741/79460617420800],
[[[1, 6], [2, 15], [4, 2]], 1262573/12039487488000],
[[[1, 6], [2, 15], [5, 1]], 53/98099527680],
[[[1, 6], [2, 15], [6, 2]], 97158433/595954630656000],
[[[1, 6], [2, 15], [8, 1]], 256997/66217181184000],
[[[1, 6], [2, 15], [10, 1]], 739639/15049359360000],
[[[1, 6], [2, 17], [3, 1]], 586541/4767637045248000],
[[[1, 6], [2, 17], [4, 1]], 282835601/95352740904960000],
[[[1, 6], [2, 17], [6, 1]], 27478387/6257523621888000],
[[[1, 7], [2, 2], [3, 8]], 23/322486272],
[[[1, 7], [2, 2], [5, 4]], 1/16000],
[[[1, 7], [2, 4], [3, 7]], 6953/46438023168],
[[[1, 7], [2, 4], [4, 7]], 7/28311552],
[[[1, 7], [2, 4], [6, 7]], 1/232190115840],
[[[1, 7], [2, 6], [3, 6]], 21377/58047528960],
[[[1, 7], [2, 6], [4, 6]], 6121/849346560],
[[[1, 7], [2, 6], [5, 3]], 1913/92160000],
[[[1, 7], [2, 6], [6, 6]], 949/29023764480],
[[[1, 7], [2, 6], [7, 2]], 41/5419008],
[[[1, 7], [2, 6], [10, 3]], 51/10240000],
[[[1, 7], [2, 6], [14, 2]], 1/1806336],
[[[1, 7], [2, 8], [3, 5]], 5843/34398535680],
[[[1, 7], [2, 8], [4, 5]], 1243/42467328],
[[[1, 7], [2, 8], [6, 5]], 424169/386983526400],
[[[1, 7], [2, 8], [11, 1]], 15659/11678515200],
[[[1, 7], [2, 8], [22, 1]], 133601/52553318400],
[[[1, 7], [2, 10], [3, 4]], 9677/412782428160],
[[[1, 7], [2, 10], [4, 4]], 1527857/66886041600],
[[[1, 7], [2, 10], [5, 2]], 83/589824000],
[[[1, 7], [2, 10], [6, 4]], 237280861/65013232435200],
[[[1, 7], [2, 10], [8, 2]], 359/1189085184],
[[[1, 7], [2, 10], [10, 2]], 777253/119439360000],
[[[1, 7], [2, 12], [3, 3]], 5497/1426902220800],
[[[1, 7], [2, 12], [4, 3]], 778841/143327232000],
[[[1, 7], [2, 12], [6, 3]], 36037096703/14302911135744000],
[[[1, 7], [2, 12], [7, 1]], 131/35672555520],
[[[1, 7], [2, 12], [9, 1]], 37/76441190400],
[[[1, 7], [2, 12], [14, 1]], 9146051/14046068736000],
[[[1, 7], [2, 12], [18, 1]], 5594383/198651543552000],
[[[1, 7], [2, 14], [3, 2]], 3803/1655429529600],
[[[1, 7], [2, 14], [4, 2]], 9190543/18919194624000],
[[[1, 7], [2, 14], [5, 1]], 10459/2759049216000],
[[[1, 7], [2, 14], [6, 2]], 507460133/1191909261312000],
[[[1, 7], [2, 14], [8, 1]], 405973/22072393728000],
[[[1, 7], [2, 14], [10, 1]], 51461269/331085905920000],
[[[1, 7], [2, 16], [3, 1]], 1612477/1589212348416000],
[[[1, 7], [2, 16], [4, 1]], 133070303/7946061742080000],
[[[1, 7], [2, 16], [6, 1]], 33582203/1787863891968000],
[[[1, 7], [3, 3], [5, 3]], 1/10368000],
[[[1, 7], [3, 3], [7, 2]], 121/15240960],
[[[1, 7], [3, 3], [9, 2]], 1/124416],
[[[1, 7], [3, 4], [11, 1]], 97/32845824],
[[[1, 7], [3, 5], [4, 4]], 1/71663616],
[[[1, 7], [3, 5], [5, 2]], 1/6220800],
[[[1, 7], [3, 6], [7, 1]], 25/70543872],
[[[1, 7], [3, 6], [9, 1]], 121/80621568],
[[[1, 7], [3, 7], [4, 2]], 65/3869835264],
[[[1, 7], [3, 7], [5, 1]], 13/201553920],
[[[1, 7], [3, 7], [6, 2]], 1/40310784],
[[[1, 7], [3, 7], [12, 1]], 1/6718464],
[[[1, 7], [4, 4], [11, 1]], 1/3244032],
[[[1, 7], [5, 2], [11, 1]], 1/17600],
[[[1, 7], [5, 3], [7, 1]], 3/56000],
[[[1, 7], [5, 3], [9, 1]], 1/144000],
[[[1, 7], [7, 2], [9, 1]], 1/211680],
[[[1, 8], [2, 1], [3, 8]], 175/1934917632],
[[[1, 8], [2, 1], [5, 4]], 1/32000],
[[[1, 8], [2, 3], [3, 7]], 43601/77396705280],
[[[1, 8], [2, 3], [4, 7]], 1/28311552],
[[[1, 8], [2, 5], [3, 6]], 16201/14511882240],
[[[1, 8], [2, 5], [4, 6]], 29761/7644119040],
[[[1, 8], [2, 5], [5, 3]], 197/5120000],
[[[1, 8], [2, 5], [6, 6]], 19/38698352640],
[[[1, 8], [2, 5], [7, 2]], 401/27095040],
[[[1, 8], [2, 5], [10, 3]], 43/184320000],
[[[1, 8], [2, 7], [3, 5]], 424169/386983526400],
[[[1, 8], [2, 7], [4, 5]], 1243/42467328],
[[[1, 8], [2, 7], [6, 5]], 5843/34398535680],
[[[1, 8], [2, 7], [11, 1]], 133601/52553318400],
[[[1, 8], [2, 7], [22, 1]], 15659/11678515200],
[[[1, 8], [2, 9], [3, 4]], 718711/2063912140800],
[[[1, 8], [2, 9], [4, 4]], 11625617/305764761600],
[[[1, 8], [2, 9], [5, 2]], 2879/2211840000],
[[[1, 8], [2, 9], [6, 4]], 23521327/14447384985600],
[[[1, 8], [2, 9], [8, 2]], 7/13271040],
[[[1, 8], [2, 9], [10, 2]], 27720403/6688604160000],
[[[1, 8], [2, 11], [3, 3]], 361489/8255648563200],
[[[1, 8], [2, 11], [4, 3]], 1054577/89181388800],
[[[1, 8], [2, 11], [6, 3]], 3957696217/1733686198272000],
[[[1, 8], [2, 11], [7, 1]], 4723/89181388800],
[[[1, 8], [2, 11], [9, 1]], 203/38220595200],
[[[1, 8], [2, 11], [14, 1]], 7400761/8026324992000],
[[[1, 8], [2, 11], [18, 1]], 1147577/24078974976000],
[[[1, 8], [2, 13], [3, 2]], 63547/4815794995200],
[[[1, 8], [2, 13], [4, 2]], 139273957/100902371328000],
[[[1, 8], [2, 13], [5, 1]], 827/49545216000],
[[[1, 8], [2, 13], [6, 2]], 771013/1089994752000],
[[[1, 8], [2, 13], [8, 1]], 4067057/75676778496000],
[[[1, 8], [2, 13], [10, 1]], 22967737/73574645760000],
[[[1, 8], [2, 15], [3, 1]], 2050457/397303087104000],
[[[1, 8], [2, 15], [4, 1]], 14699437/240789749760000],
[[[1, 8], [2, 15], [6, 1]], 42118997/794606174208000],
[[[1, 9], [2, 2], [3, 7]], 6367/8599633920],
[[[1, 9], [2, 4], [3, 6]], 13045/5804752896],
[[[1, 9], [2, 4], [4, 6]], 5461/7644119040],
[[[1, 9], [2, 4], [5, 3]], 22021/580608000],
[[[1, 9], [2, 4], [7, 2]], 59/5419008],
[[[1, 9], [2, 4], [10, 3]], 1/184320000],
[[[1, 9], [2, 6], [3, 5]], 15937891/5417769369600],
[[[1, 9], [2, 6], [4, 5]], 205039/14269022208],
[[[1, 9], [2, 6], [6, 5]], 427/51597803520],
[[[1, 9], [2, 6], [11, 1]], 120323/52553318400],
[[[1, 9], [2, 6], [22, 1]], 593/2335703040],
[[[1, 9], [2, 8], [3, 4]], 23521327/14447384985600],
[[[1, 9], [2, 8], [4, 4]], 11625617/305764761600],
[[[1, 9], [2, 8], [5, 2]], 27720403/6688604160000],
[[[1, 9], [2, 8], [6, 4]], 718711/2063912140800],
[[[1, 9], [2, 8], [8, 2]], 7/13271040],
[[[1, 9], [2, 8], [10, 2]], 2879/2211840000],
[[[1, 9], [2, 10], [3, 3]], 951503/2751882854400],
[[[1, 9], [2, 10], [4, 3]], 967421/57330892800],
[[[1, 9], [2, 10], [6, 3]], 140969099/115579079884800],
[[[1, 9], [2, 10], [7, 1]], 263/849346560],
[[[1, 9], [2, 10], [9, 1]], 2717/114661785600],
[[[1, 9], [2, 10], [14, 1]], 79859/107017666560],
[[[1, 9], [2, 10], [18, 1]], 74539/1605264998400],
[[[1, 9], [2, 12], [3, 2]], 270241/4815794995200],
[[[1, 9], [2, 12], [4, 2]], 85254031/33634123776000],
[[[1, 9], [2, 12], [5, 1]], 73951/1337720832000],
[[[1, 9], [2, 12], [6, 2]], 7668937/10319560704000],
[[[1, 9], [2, 12], [8, 1]], 544723/5350883328000],
[[[1, 9], [2, 12], [10, 1]], 7928257/20065812480000],
[[[1, 9], [2, 14], [3, 1]], 313909/18919194624000],
[[[1, 9], [2, 14], [4, 1]], 51383653/353158299648000],
[[[1, 9], [2, 14], [6, 1]], 1015327/10319560704000],
[[[1, 9], [3, 2], [5, 3]], 19/1728000],
[[[1, 9], [3, 2], [7, 2]], 11/2540160],
[[[1, 9], [3, 2], [9, 2]], 47/104509440],
[[[1, 9], [3, 3], [11, 1]], 15121/9196830720],
[[[1, 9], [3, 4], [4, 4]], 17/573308928],
[[[1, 9], [3, 4], [5, 2]], 103/19906560],
[[[1, 9], [3, 5], [7, 1]], 65/53747712],
[[[1, 9], [3, 5], [9, 1]], 12647/7524679680],
[[[1, 9], [3, 6], [4, 2]], 503/9674588160],
[[[1, 9], [3, 6], [5, 1]], 479/806215680],
[[[1, 9], [3, 6], [6, 2]], 11/214990848],
[[[1, 9], [3, 6], [12, 1]], 11/35831808],
[[[1, 9], [4, 2], [5, 3]], 1/1024000],
[[[1, 9], [4, 2], [7, 2]], 1/2257920],
[[[1, 9], [4, 4], [5, 2]], 1/29491200],
[[[1, 9], [5, 1], [7, 2]], 31/7257600],
[[[1, 9], [7, 1], [11, 1]], 1/15966720],
[[[1, 9], [9, 1], [11, 1]], 1/127733760],
[[[1, 10], [2, 1], [3, 7]], 34469/108355387392],
[[[1, 10], [2, 3], [3, 6]], 7781/3224862720],
[[[1, 10], [2, 3], [4, 6]], 697/11890851840],
[[[1, 10], [2, 3], [5, 3]], 23879/1161216000],
[[[1, 10], [2, 3], [7, 2]], 59/16257024],
[[[1, 10], [2, 5], [3, 5]], 264211/58047528960],
[[[1, 10], [2, 5], [4, 5]], 12461/3397386240],
[[[1, 10], [2, 5], [6, 5]], 1/103195607040],
[[[1, 10], [2, 5], [11, 1]], 81551/73574645760],
[[[1, 10], [2, 5], [22, 1]], 43/2335703040],
[[[1, 10], [2, 7], [3, 4]], 237280861/65013232435200],
[[[1, 10], [2, 7], [4, 4]], 1527857/66886041600],
[[[1, 10], [2, 7], [5, 2]], 777253/119439360000],
[[[1, 10], [2, 7], [6, 4]], 9677/412782428160],
[[[1, 10], [2, 7], [8, 2]], 359/1189085184],
[[[1, 10], [2, 7], [10, 2]], 83/589824000],
[[[1, 10], [2, 9], [3, 3]], 140969099/115579079884800],
[[[1, 10], [2, 9], [4, 3]], 967421/57330892800],
[[[1, 10], [2, 9], [6, 3]], 951503/2751882854400],
[[[1, 10], [2, 9], [7, 1]], 79859/107017666560],
[[[1, 10], [2, 9], [9, 1]], 74539/1605264998400],
[[[1, 10], [2, 9], [14, 1]], 263/849346560],
[[[1, 10], [2, 9], [18, 1]], 2717/114661785600],
[[[1, 10], [2, 11], [3, 2]], 17459/85996339200],
[[[1, 10], [2, 11], [4, 2]], 23414117/7134511104000],
[[[1, 10], [2, 11], [5, 1]], 3313/20901888000],
[[[1, 10], [2, 11], [6, 2]], 50639/103195607040],
[[[1, 10], [2, 11], [8, 1]], 220481/1605264998400],
[[[1, 10], [2, 11], [10, 1]], 315589/1003290624000],
[[[1, 10], [2, 13], [3, 1]], 885083/24078974976000],
[[[1, 10], [2, 13], [4, 1]], 9242509/39239811072000],
[[[1, 10], [2, 13], [6, 1]], 4359869/36118462464000],
[[[1, 11], [2, 2], [3, 6]], 10729/9029615616],
[[[1, 11], [2, 2], [4, 6]], 53/11890851840],
[[[1, 11], [2, 2], [5, 3]], 2239/387072000],
[[[1, 11], [2, 2], [7, 2]], 691/1219276800],
[[[1, 11], [2, 4], [3, 5]], 13219229/3250661621760],
[[[1, 11], [2, 4], [4, 5]], 29977/53508833280],
[[[1, 11], [2, 4], [11, 1]], 108733/367873228800],
[[[1, 11], [2, 4], [22, 1]], 1/2335703040],
[[[1, 11], [2, 6], [3, 4]], 43650697/9287604633600],
[[[1, 11], [2, 6], [4, 4]], 1439857/178362777600],
[[[1, 11], [2, 6], [5, 2]], 400081/69672960000],
[[[1, 11], [2, 6], [6, 4]], 79/412782428160],
[[[1, 11], [2, 6], [8, 2]], 9137/89181388800],
[[[1, 11], [2, 6], [10, 2]], 23/5308416000],
[[[1, 11], [2, 8], [3, 3]], 3957696217/1733686198272000],
[[[1, 11], [2, 8], [4, 3]], 1054577/89181388800],
[[[1, 11], [2, 8], [6, 3]], 361489/8255648563200],
[[[1, 11], [2, 8], [7, 1]], 7400761/8026324992000],
[[[1, 11], [2, 8], [9, 1]], 1147577/24078974976000],
[[[1, 11], [2, 8], [14, 1]], 4723/89181388800],
[[[1, 11], [2, 8], [18, 1]], 203/38220595200],
[[[1, 11], [2, 10], [3, 2]], 50639/103195607040],
[[[1, 11], [2, 10], [4, 2]], 23414117/7134511104000],
[[[1, 11], [2, 10], [5, 1]], 315589/1003290624000],
[[[1, 11], [2, 10], [6, 2]], 17459/85996339200],
[[[1, 11], [2, 10], [8, 1]], 220481/1605264998400],
[[[1, 11], [2, 10], [10, 1]], 3313/20901888000],
[[[1, 11], [2, 12], [3, 1]], 322429/4815794995200],
[[[1, 11], [2, 12], [4, 1]], 9159823/32105299968000],
[[[1, 11], [2, 12], [6, 1]], 148591/1444738498560],
[[[1, 11], [3, 1], [5, 3]], 31/13824000],
[[[1, 11], [3, 1], [7, 2]], 13/60963840],
[[[1, 11], [3, 1], [9, 2]], 1/627056640],
[[[1, 11], [3, 2], [11, 1]], 41/418037760],
[[[1, 11], [3, 3], [4, 4]], 1/179159040],
[[[1, 11], [3, 3], [5, 2]], 2593/1032192000],
[[[1, 11], [3, 4], [7, 1]], 210263/316036546560],
[[[1, 11], [3, 4], [9, 1]], 19391/45148078080],
[[[1, 11], [3, 5], [4, 2]], 6131/108355387392],
[[[1, 11], [3, 5], [5, 1]], 55303/75246796800],
[[[1, 11], [3, 5], [6, 2]], 137/20065812480],
[[[1, 11], [3, 5], [12, 1]], 137/3344302080],
[[[1, 11], [4, 2], [11, 1]], 1/766402560],
[[[1, 11], [4, 4], [7, 1]], 1/247726080],
[[[1, 11], [5, 1], [11, 1]], 23/1277337600],
[[[1, 11], [5, 2], [7, 1]], 1217/1354752000],
[[[1, 11], [5, 2], [9, 1]], 11/387072000],
[[[1, 12], [2, 1], [3, 6]], 149/564350976],
[[[1, 12], [2, 1], [5, 3]], 1633/2322432000],
[[[1, 12], [2, 1], [7, 2]], 47/1219276800],
[[[1, 12], [2, 3], [3, 5]], 5304209/2708884684800],
[[[1, 12], [2, 3], [4, 5]], 1291/29727129600],
[[[1, 12], [2, 3], [11, 1]], 1157/27249868800],
[[[1, 12], [2, 5], [3, 4]], 2585364359/715145556787200],
[[[1, 12], [2, 5], [4, 4]], 55067051/35315829964800],
[[[1, 12], [2, 5], [5, 2]], 1242511/418037760000],
[[[1, 12], [2, 5], [8, 2]], 3463/183936614400],
[[[1, 12], [2, 5], [10, 2]], 1/21233664000],
[[[1, 12], [2, 7], [3, 3]], 36037096703/14302911135744000],
[[[1, 12], [2, 7], [4, 3]], 778841/143327232000],
[[[1, 12], [2, 7], [6, 3]], 5497/1426902220800],
[[[1, 12], [2, 7], [7, 1]], 9146051/14046068736000],
[[[1, 12], [2, 7], [9, 1]], 5594383/198651543552000],
[[[1, 12], [2, 7], [14, 1]], 131/35672555520],
[[[1, 12], [2, 7], [18, 1]], 37/76441190400],
[[[1, 12], [2, 9], [3, 2]], 7668937/10319560704000],
[[[1, 12], [2, 9], [4, 2]], 85254031/33634123776000],
[[[1, 12], [2, 9], [5, 1]], 7928257/20065812480000],
[[[1, 12], [2, 9], [6, 2]], 270241/4815794995200],
[[[1, 12], [2, 9], [8, 1]], 544723/5350883328000],
[[[1, 12], [2, 9], [10, 1]], 73951/1337720832000],
[[[1, 12], [2, 11], [3, 1]], 148591/1444738498560],
[[[1, 12], [2, 11], [4, 1]], 9159823/32105299968000],
[[[1, 12], [2, 11], [6, 1]], 322429/4815794995200],
[[[1, 13], [2, 2], [3, 5]], 1779227/3611846246400],
[[[1, 13], [2, 2], [4, 5]], 26021/35315829964800],
[[[1, 13], [2, 2], [11, 1]], 767/245248819200],
[[[1, 13], [2, 4], [3, 4]], 232423981/143029111357440],
[[[1, 13], [2, 4], [4, 4]], 5322799/35315829964800],
[[[1, 13], [2, 4], [5, 2]], 13201007/14714929152000],
[[[1, 13], [2, 4], [8, 2]], 79/45984153600],
[[[1, 13], [2, 6], [3, 3]], 24375869219/14302911135744000],
[[[1, 13], [2, 6], [4, 3]], 1595307209/1059474898944000],
[[[1, 13], [2, 6], [6, 3]], 4013/12842119987200],
[[[1, 13], [2, 6], [7, 1]], 1295981/4682022912000],
[[[1, 13], [2, 6], [9, 1]], 1973779/198651543552000],
[[[1, 13], [2, 6], [14, 1]], 1/11890851840],
[[[1, 13], [2, 6], [18, 1]], 1/76441190400],
[[[1, 13], [2, 8], [3, 2]], 771013/1089994752000],
[[[1, 13], [2, 8], [4, 2]], 139273957/100902371328000],
[[[1, 13], [2, 8], [5, 1]], 22967737/73574645760000],
[[[1, 13], [2, 8], [6, 2]], 63547/4815794995200],
[[[1, 13], [2, 8], [8, 1]], 4067057/75676778496000],
[[[1, 13], [2, 8], [10, 1]], 827/49545216000],
[[[1, 13], [2, 10], [3, 1]], 4359869/36118462464000],
[[[1, 13], [2, 10], [4, 1]], 9242509/39239811072000],
[[[1, 13], [2, 10], [6, 1]], 885083/24078974976000],
[[[1, 13], [3, 1], [11, 1]], 13/18393661440],
[[[1, 13], [3, 2], [4, 4]], 23/80263249920],
[[[1, 13], [3, 2], [5, 2]], 3037/13934592000],
[[[1, 13], [3, 3], [7, 1]], 4240387/69528040243200],
[[[1, 13], [3, 3], [9, 1]], 1019/45148078080],
[[[1, 13], [3, 4], [4, 2]], 7367/931179110400],
[[[1, 13], [3, 4], [5, 1]], 26543/180592312320],
[[[1, 13], [3, 4], [6, 2]], 13/45148078080],
[[[1, 13], [3, 4], [12, 1]], 13/7524679680],
[[[1, 13], [4, 2], [5, 2]], 1/248832000],
[[[1, 13], [4, 4], [5, 1]], 1/7431782400],
[[[1, 13], [7, 1], [9, 1]], 107/965667225600],
[[[1, 14], [2, 1], [3, 5]], 3537047/59595463065600],
[[[1, 14], [2, 1], [4, 5]], 743/35315829964800],
[[[1, 14], [2, 1], [11, 1]], 79/735746457600],
[[[1, 14], [2, 3], [3, 4]], 199289177/476763704524800],
[[[1, 14], [2, 3], [4, 4]], 120413/17657914982400],
[[[1, 14], [2, 3], [5, 2]], 79853/525533184000],
[[[1, 14], [2, 3], [8, 2]], 23/326998425600],
[[[1, 14], [2, 5], [3, 3]], 8092636337/11442328908595200],
[[[1, 14], [2, 5], [4, 3]], 27151903/117719433216000],
[[[1, 14], [2, 5], [6, 3]], 67/4966288588800],
[[[1, 14], [2, 5], [7, 1]], 119159/1648072065024],
[[[1, 14], [2, 5], [9, 1]], 333937/158921234841600],
[[[1, 14], [2, 7], [3, 2]], 507460133/1191909261312000],
[[[1, 14], [2, 7], [4, 2]], 9190543/18919194624000],
[[[1, 14], [2, 7], [5, 1]], 51461269/331085905920000],
[[[1, 14], [2, 7], [6, 2]], 3803/1655429529600],
[[[1, 14], [2, 7], [8, 1]], 405973/22072393728000],
[[[1, 14], [2, 7], [10, 1]], 10459/2759049216000],
[[[1, 14], [2, 9], [3, 1]], 1015327/10319560704000],
[[[1, 14], [2, 9], [4, 1]], 51383653/353158299648000],
[[[1, 14], [2, 9], [6, 1]], 313909/18919194624000],
[[[1, 15], [2, 2], [3, 4]], 7278503/123605404876800],
[[[1, 15], [2, 2], [4, 4]], 841/4414478745600],
[[[1, 15], [2, 2], [5, 2]], 352063/25751126016000],
[[[1, 15], [2, 2], [8, 2]], 1/980995276800],
[[[1, 15], [2, 4], [3, 3]], 10210672873/57211644542976000],
[[[1, 15], [2, 4], [4, 3]], 2377997/132434362368000],
[[[1, 15], [2, 4], [6, 3]], 1/4966288588800],
[[[1, 15], [2, 4], [7, 1]], 7162081/618027024384000],
[[[1, 15], [2, 4], [9, 1]], 211433/794606174208000],
[[[1, 15], [2, 6], [3, 2]], 97158433/595954630656000],
[[[1, 15], [2, 6], [4, 2]], 1262573/12039487488000],
[[[1, 15], [2, 6], [5, 1]], 739639/15049359360000],
[[[1, 15], [2, 6], [6, 2]], 19741/79460617420800],
[[[1, 15], [2, 6], [8, 1]], 256997/66217181184000],
[[[1, 15], [2, 6], [10, 1]], 53/98099527680],
[[[1, 15], [2, 8], [3, 1]], 42118997/794606174208000],
[[[1, 15], [2, 8], [4, 1]], 14699437/240789749760000],
[[[1, 15], [2, 8], [6, 1]], 2050457/397303087104000],
[[[1, 15], [3, 1], [4, 4]], 1/315319910400],
[[[1, 15], [3, 1], [5, 2]], 179/55738368000],
[[[1, 15], [3, 2], [7, 1]], 4853/2897001676800],
[[[1, 15], [3, 2], [9, 1]], 1153/6621718118400],
[[[1, 15], [3, 3], [4, 2]], 67981/190705481809920],
[[[1, 15], [3, 3], [5, 1]], 5759647/695280402432000],
[[[1, 15], [3, 3], [6, 2]], 7/1891919462400],
[[[1, 15], [3, 3], [12, 1]], 7/315319910400],
[[[1, 15], [4, 2], [7, 1]], 23/1287556300800],
[[[1, 15], [4, 2], [9, 1]], 1/13243436236800],
[[[1, 15], [4, 3], [8, 1]], 1/5885971660800],
[[[1, 15], [5, 1], [7, 1]], 997/3678732288000],
[[[1, 15], [5, 1], [9, 1]], 47/9656672256000],
[[[1, 16], [2, 1], [3, 4]], 13651699/3337345931673600],
[[[1, 16], [2, 1], [4, 4]], 73/141263319859200],
[[[1, 16], [2, 1], [5, 2]], 19/32188907520],
[[[1, 16], [2, 3], [3, 3]], 595410103/22248972877824000],
[[[1, 16], [2, 3], [4, 3]], 11429/18059231232000],
[[[1, 16], [2, 3], [7, 1]], 344803/309013512192000],
[[[1, 16], [2, 3], [9, 1]], 229/11444944896000],
[[[1, 16], [2, 5], [3, 2]], 283920173/7151455567872000],
[[[1, 16], [2, 5], [4, 2]], 198418189/14832648585216000],
[[[1, 16], [2, 5], [5, 1]], 45683683/4635202682880000],
[[[1, 16], [2, 5], [6, 2]], 12899/794606174208000],
[[[1, 16], [2, 5], [8, 1]], 157859/317842469683200],
[[[1, 16], [2, 5], [10, 1]], 9979/220723937280000],
[[[1, 16], [2, 7], [3, 1]], 33582203/1787863891968000],
[[[1, 16], [2, 7], [4, 1]], 133070303/7946061742080000],
[[[1, 16], [2, 7], [6, 1]], 1612477/1589212348416000],
[[[1, 17], [2, 2], [3, 3]], 50483707/22248972877824000],
[[[1, 17], [2, 2], [4, 3]], 1369733/133493837266944000],
[[[1, 17], [2, 2], [7, 1]], 56893/927040536576000],
[[[1, 17], [2, 2], [9, 1]], 89/103004504064000],
[[[1, 17], [2, 4], [3, 2]], 60921169/10012037795020800],
[[[1, 17], [2, 4], [4, 2]], 2038259/2118949797888000],
[[[1, 17], [2, 4], [5, 1]], 2323/1872809164800],
[[[1, 17], [2, 4], [6, 2]], 1531/2383818522624000],
[[[1, 17], [2, 4], [8, 1]], 1267369/33373459316736000],
[[[1, 17], [2, 4], [10, 1]], 1411/662171811840000],
[[[1, 17], [2, 6], [3, 1]], 27478387/6257523621888000],
[[[1, 17], [2, 6], [4, 1]], 282835601/95352740904960000],
[[[1, 17], [2, 6], [6, 1]], 586541/4767637045248000],
[[[1, 17], [3, 1], [7, 1]], 589/55622432194560],
[[[1, 17], [3, 1], [9, 1]], 113/278112160972800],
[[[1, 17], [3, 2], [4, 2]], 2251/476763704524800],
[[[1, 17], [3, 2], [5, 1]], 58967/463520268288000],
[[[1, 17], [3, 2], [6, 2]], 1/61802702438400],
[[[1, 17], [3, 2], [12, 1]], 1/10300450406400],
[[[1, 17], [4, 2], [5, 1]], 239/309013512192000],
[[[1, 18], [2, 1], [3, 3]], 13114223/133493837266944000],
[[[1, 18], [2, 1], [4, 3]], 18971/133493837266944000],
[[[1, 18], [2, 1], [7, 1]], 1927/1112448643891200],
[[[1, 18], [2, 1], [9, 1]], 109/5562243219456000],
[[[1, 18], [2, 3], [3, 2]], 9551579/16686729658368000],
[[[1, 18], [2, 3], [4, 2]], 118093/3296144130048000],
[[[1, 18], [2, 3], [5, 1]], 7607/79460617420800],
[[[1, 18], [2, 3], [6, 2]], 103/7151455567872000],
[[[1, 18], [2, 3], [8, 1]], 55747/33373459316736000],
[[[1, 18], [2, 3], [10, 1]], 103/1986515435520000],
[[[1, 18], [2, 5], [3, 1]], 33825749/50060188975104000],
[[[1, 18], [2, 5], [4, 1]], 74531003/222489728778240000],
[[[1, 18], [2, 5], [6, 1]], 180883/20024075590041600],
[[[1, 19], [2, 2], [3, 2]], 174959/5562243219456000],
[[[1, 19], [2, 2], [4, 2]], 3473/5933059434086400],
[[[1, 19], [2, 2], [5, 1]], 4009/927040536576000],
[[[1, 19], [2, 2], [6, 2]], 1/7151455567872000],
[[[1, 19], [2, 2], [8, 1]], 13/337105649664000],
[[[1, 19], [2, 2], [10, 1]], 1/1986515435520000],
[[[1, 19], [2, 4], [3, 1]], 3386303/50060188975104000],
[[[1, 19], [2, 4], [4, 1]], 1047887/44497945755648000],
[[[1, 19], [2, 4], [6, 1]], 38609/100120377950208000],
[[[1, 19], [3, 1], [4, 2]], 353/16686729658368000],
[[[1, 19], [3, 1], [5, 1]], 3547/5562243219456000],
[[[1, 19], [3, 1], [6, 2]], 1/44497945755648000],
[[[1, 19], [3, 1], [12, 1]], 1/7416324292608000],
[[[1, 19], [4, 1], [8, 1]], 1/3178424696832000],
[[[1, 20], [2, 1], [3, 2]], 7591/8343364829184000],
[[[1, 20], [2, 1], [4, 2]], 109/33373459316736000],
[[[1, 20], [2, 1], [5, 1]], 1/9656672256000],
[[[1, 20], [2, 1], [8, 1]], 1/2781121609728000],
[[[1, 20], [2, 3], [3, 1]], 20483/4767637045248000],
[[[1, 20], [2, 3], [4, 1]], 131137/133493837266944000],
[[[1, 20], [2, 3], [6, 1]], 109/12515047243776000],
[[[1, 21], [2, 2], [3, 1]], 611/3708162146304000],
[[[1, 21], [2, 2], [4, 1]], 89/4045267795968000],
[[[1, 21], [2, 2], [6, 1]], 1/12515047243776000],
[[[1, 22], [2, 1], [3, 1]], 23/6674691863347200],
[[[1, 22], [2, 1], [4, 1]], 1/4944216195072000],
[[[2, 5], [4, 2], [6, 8]], 1/483729408],
[[[2, 5], [6, 4], [14, 2]], 1/762048],
[[[2, 5], [6, 4], [18, 2]], 1/69984],
[[[2, 5], [6, 5], [22, 1]], 1/2052864],
[[[2, 5], [6, 7], [14, 1]], 1/35271936],
[[[2, 5], [6, 7], [18, 1]], 1/5038848],
[[[2, 5], [10, 2], [14, 2]], 1/9800],
[[[2, 7], [3, 2], [6, 7]], 1/40310784],
[[[2, 7], [4, 2], [6, 7]], 65/3869835264],
[[[2, 7], [4, 4], [6, 5]], 1/71663616],
[[[2, 7], [4, 4], [22, 1]], 1/3244032],
[[[2, 7], [6, 3], [10, 3]], 1/10368000],
[[[2, 7], [6, 3], [14, 2]], 121/15240960],
[[[2, 7], [6, 3], [18, 2]], 1/124416],
[[[2, 7], [6, 4], [22, 1]], 97/32845824],
[[[2, 7], [6, 5], [10, 2]], 1/6220800],
[[[2, 7], [6, 6], [14, 1]], 25/70543872],
[[[2, 7], [6, 6], [18, 1]], 121/80621568],
[[[2, 7], [6, 7], [10, 1]], 13/201553920],
[[[2, 7], [6, 7], [12, 1]], 1/6718464],
[[[2, 7], [10, 2], [22, 1]], 1/17600],
[[[2, 7], [10, 3], [14, 1]], 3/56000],
[[[2, 7], [10, 3], [18, 1]], 1/144000],
[[[2, 7], [14, 2], [18, 1]], 1/211680],
[[[2, 9], [3, 2], [6, 6]], 11/214990848],
[[[2, 9], [4, 2], [6, 6]], 503/9674588160],
[[[2, 9], [4, 2], [10, 3]], 1/1024000],
[[[2, 9], [4, 2], [14, 2]], 1/2257920],
[[[2, 9], [4, 4], [6, 4]], 17/573308928],
[[[2, 9], [4, 4], [10, 2]], 1/29491200],
[[[2, 9], [6, 2], [10, 3]], 19/1728000],
[[[2, 9], [6, 2], [14, 2]], 11/2540160],
[[[2, 9], [6, 2], [18, 2]], 47/104509440],
[[[2, 9], [6, 3], [22, 1]], 15121/9196830720],
[[[2, 9], [6, 4], [10, 2]], 103/19906560],
[[[2, 9], [6, 5], [14, 1]], 65/53747712],
[[[2, 9], [6, 5], [18, 1]], 12647/7524679680],
[[[2, 9], [6, 6], [10, 1]], 479/806215680],
[[[2, 9], [6, 6], [12, 1]], 11/35831808],
[[[2, 9], [10, 1], [14, 2]], 31/7257600],
[[[2, 9], [14, 1], [22, 1]], 1/15966720],
[[[2, 9], [18, 1], [22, 1]], 1/127733760],
[[[2, 11], [3, 2], [6, 5]], 137/20065812480],
[[[2, 11], [4, 2], [6, 5]], 6131/108355387392],
[[[2, 11], [4, 2], [22, 1]], 1/766402560],
[[[2, 11], [4, 4], [6, 3]], 1/179159040],
[[[2, 11], [4, 4], [14, 1]], 1/247726080],
[[[2, 11], [6, 1], [10, 3]], 31/13824000],
[[[2, 11], [6, 1], [14, 2]], 13/60963840],
[[[2, 11], [6, 1], [18, 2]], 1/627056640],
[[[2, 11], [6, 2], [22, 1]], 41/418037760],
[[[2, 11], [6, 3], [10, 2]], 2593/1032192000],
[[[2, 11], [6, 4], [14, 1]], 210263/316036546560],
[[[2, 11], [6, 4], [18, 1]], 19391/45148078080],
[[[2, 11], [6, 5], [10, 1]], 55303/75246796800],
[[[2, 11], [6, 5], [12, 1]], 137/3344302080],
[[[2, 11], [10, 1], [22, 1]], 23/1277337600],
[[[2, 11], [10, 2], [14, 1]], 1217/1354752000],
[[[2, 11], [10, 2], [18, 1]], 11/387072000],
[[[2, 13], [3, 2], [6, 4]], 13/45148078080],
[[[2, 13], [4, 2], [6, 4]], 7367/931179110400],
[[[2, 13], [4, 2], [10, 2]], 1/248832000],
[[[2, 13], [4, 4], [6, 2]], 23/80263249920],
[[[2, 13], [4, 4], [10, 1]], 1/7431782400],
[[[2, 13], [6, 1], [22, 1]], 13/18393661440],
[[[2, 13], [6, 2], [10, 2]], 3037/13934592000],
[[[2, 13], [6, 3], [14, 1]], 4240387/69528040243200],
[[[2, 13], [6, 3], [18, 1]], 1019/45148078080],
[[[2, 13], [6, 4], [10, 1]], 26543/180592312320],
[[[2, 13], [6, 4], [12, 1]], 13/7524679680],
[[[2, 13], [14, 1], [18, 1]], 107/965667225600],
[[[2, 15], [3, 2], [6, 3]], 7/1891919462400],
[[[2, 15], [4, 2], [6, 3]], 67981/190705481809920],
[[[2, 15], [4, 2], [14, 1]], 23/1287556300800],
[[[2, 15], [4, 2], [18, 1]], 1/13243436236800],
[[[2, 15], [4, 3], [8, 1]], 1/5885971660800],
[[[2, 15], [4, 4], [6, 1]], 1/315319910400],
[[[2, 15], [6, 1], [10, 2]], 179/55738368000],
[[[2, 15], [6, 2], [14, 1]], 4853/2897001676800],
[[[2, 15], [6, 2], [18, 1]], 1153/6621718118400],
[[[2, 15], [6, 3], [10, 1]], 5759647/695280402432000],
[[[2, 15], [6, 3], [12, 1]], 7/315319910400],
[[[2, 15], [10, 1], [14, 1]], 997/3678732288000],
[[[2, 15], [10, 1], [18, 1]], 47/9656672256000],
[[[2, 17], [3, 2], [6, 2]], 1/61802702438400],
[[[2, 17], [4, 2], [6, 2]], 2251/476763704524800],
[[[2, 17], [4, 2], [10, 1]], 239/309013512192000],
[[[2, 17], [6, 1], [14, 1]], 589/55622432194560],
[[[2, 17], [6, 1], [18, 1]], 113/278112160972800],
[[[2, 17], [6, 2], [10, 1]], 58967/463520268288000],
[[[2, 17], [6, 2], [12, 1]], 1/10300450406400],
[[[2, 19], [3, 2], [6, 1]], 1/44497945755648000],
[[[2, 19], [4, 1], [8, 1]], 1/3178424696832000],
[[[2, 19], [4, 2], [6, 1]], 353/16686729658368000],
[[[2, 19], [6, 1], [10, 1]], 3547/5562243219456000],
[[[2, 19], [6, 1], [12, 1]], 1/7416324292608000],
[[[1, 1], [2, 4], [4, 2], [6, 8]], 1/483729408],
[[[1, 1], [2, 4], [4, 3], [6, 7]], 1/1934917632],
[[[1, 1], [2, 4], [4, 5], [22, 1]], 1/1622016],
[[[1, 1], [2, 4], [6, 4], [14, 2]], 1/381024],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/69984],
[[[1, 1], [2, 4], [6, 5], [22, 1]], 1/2052864],
[[[1, 1], [2, 4], [6, 7], [14, 1]], 1/35271936],
[[[1, 1], [2, 4], [6, 7], [18, 1]], 1/5038848],
[[[1, 1], [2, 4], [10, 2], [14, 2]], 1/4900],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 1/15116544],
[[[1, 1], [2, 6], [3, 2], [6, 7]], 1/40310784],
[[[1, 1], [2, 6], [3, 3], [6, 6]], 1/1679616],
[[[1, 1], [2, 6], [4, 1], [6, 8]], 1/80621568],
[[[1, 1], [2, 6], [4, 2], [6, 7]], 263/3869835264],
[[[1, 1], [2, 6], [4, 3], [6, 6]], 31/967458816],
[[[1, 1], [2, 6], [4, 3], [10, 3]], 1/1536000],
[[[1, 1], [2, 6], [4, 3], [14, 2]], 1/75264],
[[[1, 1], [2, 6], [4, 4], [6, 5]], 1/71663616],
[[[1, 1], [2, 6], [4, 4], [22, 1]], 7/3244032],
[[[1, 1], [2, 6], [4, 5], [6, 4]], 1/286654464],
[[[1, 1], [2, 6], [4, 5], [10, 2]], 1/14745600],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 1/2592000],
[[[1, 1], [2, 6], [6, 3], [14, 2]], 611/15240960],
[[[1, 1], [2, 6], [6, 3], [18, 2]], 5/124416],
[[[1, 1], [2, 6], [6, 4], [22, 1]], 397/32845824],
[[[1, 1], [2, 6], [6, 5], [10, 2]], 1/2332800],
[[[1, 1], [2, 6], [6, 6], [14, 1]], 41/35271936],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 445/80621568],
[[[1, 1], [2, 6], [6, 7], [8, 1]], 1/322486272],
[[[1, 1], [2, 6], [6, 7], [10, 1]], 1/13436928],
[[[1, 1], [2, 6], [6, 7], [12, 1]], 1/6718464],
[[[1, 1], [2, 6], [10, 2], [22, 1]], 1/4400],
[[[1, 1], [2, 6], [10, 3], [14, 1]], 1/5600],
[[[1, 1], [2, 6], [10, 3], [18, 1]], 1/36000],
[[[1, 1], [2, 6], [14, 2], [18, 1]], 11/211680],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 611/967458816],
[[[1, 1], [2, 8], [3, 2], [6, 6]], 47/214990848],
[[[1, 1], [2, 8], [3, 3], [6, 5]], 83/107495424],
[[[1, 1], [2, 8], [4, 1], [6, 7]], 355/2579890176],
[[[1, 1], [2, 8], [4, 2], [6, 6]], 79/302330880],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 17/3072000],
[[[1, 1], [2, 8], [4, 2], [14, 2]], 11/2257920],
[[[1, 1], [2, 8], [4, 3], [6, 5]], 1981/6449725440],
[[[1, 1], [2, 8], [4, 3], [22, 1]], 1013/437944320],
[[[1, 1], [2, 8], [4, 4], [6, 4]], 71/573308928],
[[[1, 1], [2, 8], [4, 4], [8, 2]], 1/2359296],
[[[1, 1], [2, 8], [4, 4], [10, 2]], 1/3686400],
[[[1, 1], [2, 8], [4, 5], [6, 3]], 7/35831808],
[[[1, 1], [2, 8], [4, 5], [14, 1]], 1/7741440],
[[[1, 1], [2, 8], [5, 1], [10, 3]], 1/32000],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 73/1728000],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 47/1270080],
[[[1, 1], [2, 8], [6, 2], [18, 2]], 761/104509440],
[[[1, 1], [2, 8], [6, 3], [22, 1]], 121003/9196830720],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 2203/149299200],
[[[1, 1], [2, 8], [6, 5], [14, 1]], 1327/188116992],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 85601/7524679680],
[[[1, 1], [2, 8], [6, 6], [8, 1]], 5/20155392],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 13/5971968],
[[[1, 1], [2, 8], [6, 6], [12, 1]], 47/35831808],
[[[1, 1], [2, 8], [8, 1], [10, 3]], 3/256000],
[[[1, 1], [2, 8], [8, 1], [14, 2]], 1/188160],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 2629/50803200],
[[[1, 1], [2, 8], [14, 1], [22, 1]], 37/15966720],
[[[1, 1], [2, 8], [18, 1], [22, 1]], 43/127733760],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 92737/90296156160],
[[[1, 1], [2, 10], [3, 2], [6, 5]], 439/4013162496],
[[[1, 1], [2, 10], [3, 3], [6, 4]], 617/10032906240],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1037/2149908480],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 53/6144000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 11/8128512],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 12721/33861058560],
[[[1, 1], [2, 10], [4, 2], [22, 1]], 43/766402560],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 24797/38698352640],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 29843/27869184000],
[[[1, 1], [2, 10], [4, 4], [6, 3]], 49/716636160],
[[[1, 1], [2, 10], [4, 4], [14, 1]], 17/247726080],
[[[1, 1], [2, 10], [4, 5], [6, 2]], 41/955514880],
[[[1, 1], [2, 10], [4, 5], [8, 1]], 1/56623104],
[[[1, 1], [2, 10], [4, 5], [10, 1]], 53/1857945600],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 13/552960],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 121/30481920],
[[[1, 1], [2, 10], [6, 1], [18, 2]], 23/313528320],
[[[1, 1], [2, 10], [6, 2], [22, 1]], 4577/2299207680],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 65849/2985984000],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 209291/31603654656],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 60623/11287019520],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1091/2149908480],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 129151/25082265600],
[[[1, 1], [2, 10], [6, 5], [12, 1]], 439/668860416],
[[[1, 1], [2, 10], [8, 1], [22, 1]], 1/63866880],
[[[1, 1], [2, 10], [10, 1], [22, 1]], 157/212889600],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 5759/406425600],
[[[1, 1], [2, 10], [10, 2], [18, 1]], 29/41472000],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 92179/270888468480],
[[[1, 1], [2, 12], [3, 2], [6, 4]], 391/45148078080],
[[[1, 1], [2, 12], [3, 3], [6, 3]], 1/940584960],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 66221/180592312320],
[[[1, 1], [2, 12], [4, 1], [22, 1]], 13/2724986880],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 2029859/14898865766400],
[[[1, 1], [2, 12], [4, 2], [8, 2]], 1/1274019840],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 737/6967296000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 25626343/238381852262400],
[[[1, 1], [2, 12], [4, 3], [14, 1]], 7751/234101145600],
[[[1, 1], [2, 12], [4, 3], [18, 1]], 743/3310859059200],
[[[1, 1], [2, 12], [4, 4], [6, 2]], 67/10032906240],
[[[1, 1], [2, 12], [4, 4], [8, 1]], 1/1981808640],
[[[1, 1], [2, 12], [4, 4], [10, 1]], 1/265420800],
[[[1, 1], [2, 12], [4, 5], [6, 1]], 29/11466178560],
[[[1, 1], [2, 12], [5, 1], [10, 2]], 23/2322432000],
[[[1, 1], [2, 12], [6, 1], [22, 1]], 91/2627665920],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 168317/41803776000],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 87316303/69528040243200],
[[[1, 1], [2, 12], [6, 3], [18, 1]], 24779/45148078080],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 14969/180592312320],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 683129/300987187200],
[[[1, 1], [2, 12], [6, 4], [12, 1]], 391/7524679680],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 1/20736000],
[[[1, 1], [2, 12], [14, 1], [18, 1]], 5783/965667225600],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 2861581/119190926131200],
[[[1, 1], [2, 14], [3, 2], [6, 3]], 631/3310859059200],
[[[1, 1], [2, 14], [3, 3], [6, 2]], 41/13243436236800],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 789517/15892123484160],
[[[1, 1], [2, 14], [4, 1], [8, 2]], 1/490497638400],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 4373/222953472000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 2070517/190705481809920],
[[[1, 1], [2, 14], [4, 2], [14, 1]], 137/143061811200],
[[[1, 1], [2, 14], [4, 2], [18, 1]], 73/13243436236800],
[[[1, 1], [2, 14], [4, 3], [5, 1]], 1/3678732288000],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 10447/1986515435520],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 169/1961990553600],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 19147/11036196864000],
[[[1, 1], [2, 14], [4, 3], [12, 1]], 1/2207239372800],
[[[1, 1], [2, 14], [4, 4], [6, 1]], 19/137952460800],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 1961/16721510400],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 333217/5794003353600],
[[[1, 1], [2, 14], [6, 2], [18, 1]], 59959/6621718118400],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 325601/79460617420800],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 8857481/38626689024000],
[[[1, 1], [2, 14], [6, 3], [12, 1]], 631/551809843200],
[[[1, 1], [2, 14], [8, 1], [14, 1]], 23/107296358400],
[[[1, 1], [2, 14], [8, 1], [18, 1]], 1/1103619686400],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 72833/5150225203200],
[[[1, 1], [2, 14], [10, 1], [18, 1]], 19/59609088000],
[[[1, 1], [2, 16], [3, 1], [4, 3]], 1/8828957491200],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 1475/3178424696832],
[[[1, 1], [2, 16], [3, 2], [6, 2]], 79/61802702438400],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 1644953/741632429260800],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 239/3433483468800],
[[[1, 1], [2, 16], [4, 1], [18, 1]], 1/1144494489600],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 29149/119190926131200],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 19/11771943321600],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 3929/77253378048000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 27427/476763704524800],
[[[1, 1], [2, 16], [5, 1], [10, 1]], 1/1337720832000],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 89821/139056080486400],
[[[1, 1], [2, 16], [6, 1], [18, 1]], 4579/139056080486400],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 739/13243436236800],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 938603/154506756096000],
[[[1, 1], [2, 16], [6, 2], [12, 1]], 79/10300450406400],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 239/25751126016000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 1087/417168241459200],
[[[1, 1], [2, 18], [3, 1], [8, 1]], 1/2383818522624000],
[[[1, 1], [2, 18], [3, 2], [6, 1]], 109/44497945755648000],
[[[1, 1], [2, 18], [4, 1], [5, 1]], 1/1986515435520000],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 32687/1112448643891200],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 701/6356849393664000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 641/154506756096000],
[[[1, 1], [2, 18], [4, 1], [12, 1]], 1/1191909261312000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 2539/1516975423488000],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 281/1112448643891200],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 17533/370816214630400],
[[[1, 1], [2, 18], [6, 1], [12, 1]], 109/7416324292608000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/4171682414592000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 37/8343364829184000],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 151/1112448643891200],
[[[1, 2], [2, 3], [4, 3], [6, 7]], 1/1934917632],
[[[1, 2], [2, 3], [4, 5], [22, 1]], 1/1622016],
[[[1, 2], [2, 3], [6, 4], [14, 2]], 1/762048],
[[[1, 2], [2, 3], [10, 2], [14, 2]], 1/9800],
[[[1, 2], [2, 5], [3, 1], [6, 8]], 13/181398528],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 17/45349632],
[[[1, 2], [2, 5], [3, 3], [4, 6]], 1/382205952],
[[[1, 2], [2, 5], [3, 3], [6, 6]], 53/40310784],
[[[1, 2], [2, 5], [3, 3], [9, 2]], 1/1119744],
[[[1, 2], [2, 5], [3, 4], [6, 5]], 95/20155392],
[[[1, 2], [2, 5], [3, 4], [11, 1]], 1/32845824],
[[[1, 2], [2, 5], [3, 5], [6, 4]], 1/13436928],
[[[1, 2], [2, 5], [3, 6], [6, 3]], 1/6718464],
[[[1, 2], [2, 5], [3, 6], [9, 1]], 1/80621568],
[[[1, 2], [2, 5], [4, 1], [6, 8]], 1/80621568],
[[[1, 2], [2, 5], [4, 2], [6, 7]], 25/429981696],
[[[1, 2], [2, 5], [4, 3], [6, 6]], 35/483729408],
[[[1, 2], [2, 5], [4, 3], [10, 3]], 1/512000],
[[[1, 2], [2, 5], [4, 3], [14, 2]], 1/75264],
[[[1, 2], [2, 5], [4, 4], [6, 5]], 7/143327232],
[[[1, 2], [2, 5], [4, 4], [11, 1]], 1/1622016],
[[[1, 2], [2, 5], [4, 4], [22, 1]], 13/1081344],
[[[1, 2], [2, 5], [4, 5], [6, 4]], 1/286654464],
[[[1, 2], [2, 5], [4, 5], [8, 2]], 1/196608],
[[[1, 2], [2, 5], [4, 5], [10, 2]], 1/7372800],
[[[1, 2], [2, 5], [4, 6], [9, 1]], 1/5308416],
[[[1, 2], [2, 5], [4, 6], [14, 1]], 1/4128768],
[[[1, 2], [2, 5], [5, 1], [6, 7]], 1/100776960],
[[[1, 2], [2, 5], [6, 3], [10, 3]], 1/1728000],
[[[1, 2], [2, 5], [6, 3], [14, 2]], 173/3048192],
[[[1, 2], [2, 5], [6, 3], [18, 2]], 1/20736],
[[[1, 2], [2, 5], [6, 4], [22, 1]], 53/5474304],
[[[1, 2], [2, 5], [6, 5], [10, 2]], 7/18662400],
[[[1, 2], [2, 5], [6, 6], [14, 1]], 19/23514624],
[[[1, 2], [2, 5], [6, 6], [18, 1]], 19/4478976],
[[[1, 2], [2, 5], [6, 7], [8, 1]], 1/107495424],
[[[1, 2], [2, 5], [6, 7], [10, 1]], 1/67184640],
[[[1, 2], [2, 5], [8, 2], [11, 1]], 1/67584],
[[[1, 2], [2, 5], [8, 2], [22, 1]], 1/22528],
[[[1, 2], [2, 5], [10, 2], [22, 1]], 3/8800],
[[[1, 2], [2, 5], [10, 3], [14, 1]], 3/14000],
[[[1, 2], [2, 5], [10, 3], [18, 1]], 1/24000],
[[[1, 2], [2, 5], [14, 2], [18, 1]], 5/42336],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 6391/2902376448],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 36713/5804752896],
[[[1, 2], [2, 7], [3, 2], [9, 2]], 1/44789760],
[[[1, 2], [2, 7], [3, 2], [10, 3]], 1/288000],
[[[1, 2], [2, 7], [3, 3], [6, 5]], 1597/322486272],
[[[1, 2], [2, 7], [3, 3], [11, 1]], 1/1313832960],
[[[1, 2], [2, 7], [3, 4], [6, 4]], 1771/322486272],
[[[1, 2], [2, 7], [3, 5], [6, 3]], 1/53747712],
[[[1, 2], [2, 7], [3, 5], [9, 1]], 1/3224862720],
[[[1, 2], [2, 7], [3, 6], [6, 2]], 1/214990848],
[[[1, 2], [2, 7], [4, 1], [6, 7]], 413/859963392],
[[[1, 2], [2, 7], [4, 2], [6, 6]], 11/13436928],
[[[1, 2], [2, 7], [4, 2], [8, 3]], 1/98304],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/51200],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 23/451584],
[[[1, 2], [2, 7], [4, 3], [6, 5]], 3743/3224862720],
[[[1, 2], [2, 7], [4, 3], [22, 1]], 8321/437944320],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1307/2866544640],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 7/2359296],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 31/14745600],
[[[1, 2], [2, 7], [4, 5], [6, 3]], 29/71663616],
[[[1, 2], [2, 7], [4, 5], [14, 1]], 29/30965760],
[[[1, 2], [2, 7], [4, 6], [6, 2]], 7/21233664],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 5/14155776],
[[[1, 2], [2, 7], [4, 6], [10, 1]], 1/17694720],
[[[1, 2], [2, 7], [5, 1], [6, 6]], 1/12597120],
[[[1, 2], [2, 7], [5, 1], [10, 3]], 27/160000],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 1/16000],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 139/1270080],
[[[1, 2], [2, 7], [6, 2], [18, 2]], 161/4976640],
[[[1, 2], [2, 7], [6, 3], [22, 1]], 15143/437944320],
[[[1, 2], [2, 7], [6, 4], [8, 2]], 1/3981312],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 4939/298598400],
[[[1, 2], [2, 7], [6, 5], [14, 1]], 1567/125411328],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 2987/119439360],
[[[1, 2], [2, 7], [6, 6], [8, 1]], 5/13436928],
[[[1, 2], [2, 7], [6, 6], [10, 1]], 53/26873856],
[[[1, 2], [2, 7], [6, 6], [12, 1]], 7/5971968],
[[[1, 2], [2, 7], [8, 1], [10, 3]], 13/256000],
[[[1, 2], [2, 7], [8, 1], [14, 2]], 11/188160],
[[[1, 2], [2, 7], [8, 2], [10, 2]], 1/204800],
[[[1, 2], [2, 7], [9, 1], [11, 1]], 1/18247680],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 449/2822400],
[[[1, 2], [2, 7], [14, 1], [22, 1]], 17/887040],
[[[1, 2], [2, 7], [18, 1], [22, 1]], 23/6082560],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 5544163/812665405440],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/384000],
[[[1, 2], [2, 9], [3, 1], [14, 2]], 1/846720],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 2181257/270888468480],
[[[1, 2], [2, 9], [3, 2], [22, 1]], 1/164229120],
[[[1, 2], [2, 9], [3, 3], [4, 4]], 1/7644119040],
[[[1, 2], [2, 9], [3, 3], [6, 4]], 48487/36118462464],
[[[1, 2], [2, 9], [3, 4], [6, 3]], 1861/12039487488],
[[[1, 2], [2, 9], [3, 5], [6, 2]], 1/8599633920],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 8993/3224862720],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 383/6144000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 739/40642560],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 9263/3344302080],
[[[1, 2], [2, 9], [4, 2], [11, 1]], 1/32440320],
[[[1, 2], [2, 9], [4, 2], [22, 1]], 1411/291962880],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 802643/270888468480],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 239/106168320],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 120437/13934592000],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 210389/80263249920],
[[[1, 2], [2, 9], [4, 4], [9, 1]], 1/106168320],
[[[1, 2], [2, 9], [4, 4], [14, 1]], 2111/1114767360],
[[[1, 2], [2, 9], [4, 4], [18, 1]], 53/1114767360],
[[[1, 2], [2, 9], [4, 5], [6, 2]], 193/477757440],
[[[1, 2], [2, 9], [4, 5], [8, 1]], 19/56623104],
[[[1, 2], [2, 9], [4, 5], [10, 1]], 67/232243200],
[[[1, 2], [2, 9], [4, 6], [6, 1]], 1/13271040],
[[[1, 2], [2, 9], [5, 1], [6, 5]], 101/671846400],
[[[1, 2], [2, 9], [5, 1], [22, 1]], 1/45619200],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 373/4608000],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 1543/60963840],
[[[1, 2], [2, 9], [6, 1], [18, 2]], 17/17418240],
[[[1, 2], [2, 9], [6, 2], [22, 1]], 827/63866880],
[[[1, 2], [2, 9], [6, 3], [8, 2]], 1/1990656],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 2530559/41803776000],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 10447/438939648],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 59893/2508226560],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 143/59719680],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 44137/3583180800],
[[[1, 2], [2, 9], [6, 5], [12, 1]], 1261/477757440],
[[[1, 2], [2, 9], [8, 1], [22, 1]], 1/1548288],
[[[1, 2], [2, 9], [8, 2], [14, 1]], 1/1720320],
[[[1, 2], [2, 9], [10, 1], [22, 1]], 839/106444800],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 36173/508032000],
[[[1, 2], [2, 9], [10, 2], [18, 1]], 2999/580608000],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 872293/203166351360],
[[[1, 2], [2, 11], [3, 1], [22, 1]], 1/287400960],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 1164041/812665405440],
[[[1, 2], [2, 11], [3, 2], [10, 2]], 151/10450944000],
[[[1, 2], [2, 11], [3, 3], [6, 3]], 3347/90296156160],
[[[1, 2], [2, 11], [3, 4], [6, 2]], 1/22574039040],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 152459/45148078080],
[[[1, 2], [2, 11], [4, 1], [22, 1]], 157/743178240],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 447893/150493593600],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 71/1783627776],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 56251/11147673600],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 347509861/238381852262400],
[[[1, 2], [2, 11], [4, 3], [14, 1]], 149977/234101145600],
[[[1, 2], [2, 11], [4, 3], [18, 1]], 26021/3310859059200],
[[[1, 2], [2, 11], [4, 4], [5, 1]], 1/1238630400],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 8261/16052649984],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 1693/10701766656],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 3619/9555148800],
[[[1, 2], [2, 11], [4, 4], [12, 1]], 1/743178240],
[[[1, 2], [2, 11], [4, 5], [6, 1]], 3623/80263249920],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 121/1763596800],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 5429/11612160000],
[[[1, 2], [2, 11], [6, 1], [22, 1]], 823/1532805120],
[[[1, 2], [2, 11], [6, 2], [8, 2]], 1/26542080],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 75803/2985984000],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 94513/10534551552],
[[[1, 2], [2, 11], [6, 3], [18, 1]], 599/125411328],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 76337/60197437440],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 221761/18811699200],
[[[1, 2], [2, 11], [6, 4], [12, 1]], 7/13271040],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 2797/2322432000],
[[[1, 2], [2, 11], [8, 2], [10, 1]], 1/51609600],
[[[1, 2], [2, 11], [14, 1], [18, 1]], 79/731566080],
[[[1, 2], [2, 13], [3, 1], [4, 4]], 2971/8828957491200],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 106117489/178786389196800],
[[[1, 2], [2, 13], [3, 1], [8, 2]], 1/367873228800],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 1/93312000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 1911953/51081825484800],
[[[1, 2], [2, 13], [3, 2], [14, 1]], 1/12541132800],
[[[1, 2], [2, 13], [3, 2], [18, 1]], 1/1241572147200],
[[[1, 2], [2, 13], [3, 3], [6, 2]], 557/2837879193600],
[[[1, 2], [2, 13], [3, 4], [6, 1]], 1/9932577177600],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 8417209/8828957491200],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 169/163499212800],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 7361/12386304000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 25041959/52973744947200],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 15317/187280916480],
[[[1, 2], [2, 13], [4, 2], [18, 1]], 17/13377208320],
[[[1, 2], [2, 13], [4, 3], [5, 1]], 67/3678732288000],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 369421/2837879193600],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 12049/1961990553600],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 604651/11036196864000],
[[[1, 2], [2, 13], [4, 3], [12, 1]], 67/2207239372800],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 4253/160526499840],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 119681/24831442944000],
[[[1, 2], [2, 13], [5, 1], [14, 1]], 1/3483648000],
[[[1, 2], [2, 13], [5, 1], [18, 1]], 1/344881152000],
[[[1, 2], [2, 13], [6, 1], [8, 2]], 1/2229534720],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 250213/167215104000],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 1441829/1931334451200],
[[[1, 2], [2, 13], [6, 2], [18, 1]], 397/2477260800],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 439249/3783838924800],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 76297927/33108590592000],
[[[1, 2], [2, 13], [6, 3], [12, 1]], 1427/66886041600],
[[[1, 2], [2, 13], [8, 1], [14, 1]], 2389/214592716800],
[[[1, 2], [2, 13], [8, 1], [18, 1]], 23/367873228800],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 2136077/8583708672000],
[[[1, 2], [2, 13], [10, 1], [18, 1]], 3467/459841536000],
[[[1, 2], [2, 15], [3, 1], [4, 3]], 71/8828957491200],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 7475/371504185344],
[[[1, 2], [2, 15], [3, 1], [14, 1]], 23/482833612800],
[[[1, 2], [2, 15], [3, 1], [18, 1]], 1/4966288588800],
[[[1, 2], [2, 15], [3, 2], [4, 2]], 1/1891919462400],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 569231/3337345931673600],
[[[1, 2], [2, 15], [3, 2], [10, 1]], 1/295612416000],
[[[1, 2], [2, 15], [3, 3], [6, 1]], 1/39730308710400],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 158510057/2224897287782400],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 39881/10300450406400],
[[[1, 2], [2, 15], [4, 1], [18, 1]], 389/6180270243840],
[[[1, 2], [2, 15], [4, 2], [5, 1]], 19/7357464576000],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 749/35035545600],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 107/280284364800],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 8633/1471492915200],
[[[1, 2], [2, 15], [4, 2], [12, 1]], 17/4414478745600],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 1227487/476763704524800],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 149/2069286912000],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 331/4598415360000],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 224117/15450675609600],
[[[1, 2], [2, 15], [6, 1], [18, 1]], 15647/15450675609600],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 2047/735746457600],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 16634393/154506756096000],
[[[1, 2], [2, 15], [6, 2], [12, 1]], 479/2060090081280],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 1277/2145927168000],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 871/741632429260800],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 67391/357572778393600],
[[[1, 2], [2, 17], [3, 1], [8, 1]], 103/2383818522624000],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 239/115880067072000],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 3697/18203705081856000],
[[[1, 2], [2, 17], [4, 1], [5, 1]], 103/1986515435520000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 435551/278112160972800],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 143219/14832648585216000],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 87337/309013512192000],
[[[1, 2], [2, 17], [4, 1], [12, 1]], 103/1191909261312000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 842537/3708162146304000],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 17/49662885888000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 7241/370816214630400],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 1255913/927040536576000],
[[[1, 2], [2, 17], [6, 1], [12, 1]], 89/137339338752000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 13/505658474496000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 48347/100120377950208000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 457/42138206208000],
[[[1, 3], [2, 2], [3, 4], [7, 2]], 1/762048],
[[[1, 3], [2, 2], [3, 7], [4, 3]], 1/1934917632],
[[[1, 3], [2, 2], [4, 5], [11, 1]], 1/1622016],
[[[1, 3], [2, 2], [5, 2], [7, 2]], 1/9800],
[[[1, 3], [2, 4], [3, 1], [6, 8]], 1/181398528],
[[[1, 3], [2, 4], [3, 2], [6, 7]], 43/90699264],
[[[1, 3], [2, 4], [3, 3], [4, 6]], 1/382205952],
[[[1, 3], [2, 4], [3, 3], [5, 3]], 1/10368000],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 49/40310784],
[[[1, 3], [2, 4], [3, 3], [9, 2]], 13/1119744],
[[[1, 3], [2, 4], [3, 4], [4, 5]], 1/47775744],
[[[1, 3], [2, 4], [3, 4], [6, 5]], 203/20155392],
[[[1, 3], [2, 4], [3, 4], [11, 1]], 13/32845824],
[[[1, 3], [2, 4], [3, 5], [4, 4]], 1/143327232],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 73/13436928],
[[[1, 3], [2, 4], [3, 6], [6, 3]], 13/20155392],
[[[1, 3], [2, 4], [3, 6], [9, 1]], 13/80621568],
[[[1, 3], [2, 4], [3, 7], [6, 2]], 1/10077696],
[[[1, 3], [2, 4], [3, 7], [8, 1]], 1/967458816],
[[[1, 3], [2, 4], [4, 2], [6, 7]], 1/143327232],
[[[1, 3], [2, 4], [4, 3], [5, 3]], 1/1536000],
[[[1, 3], [2, 4], [4, 3], [6, 6]], 13/322486272],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 1/16384],
[[[1, 3], [2, 4], [4, 3], [10, 3]], 1/512000],
[[[1, 3], [2, 4], [4, 4], [6, 5]], 1/17915904],
[[[1, 3], [2, 4], [4, 4], [11, 1]], 7/1622016],
[[[1, 3], [2, 4], [4, 4], [22, 1]], 5/360448],
[[[1, 3], [2, 4], [4, 5], [6, 4]], 1/47775744],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 1/196608],
[[[1, 3], [2, 4], [4, 5], [10, 2]], 1/14745600],
[[[1, 3], [2, 4], [4, 6], [9, 1]], 1/5308416],
[[[1, 3], [2, 4], [4, 6], [14, 1]], 1/4128768],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 1/2359296],
[[[1, 3], [2, 4], [5, 1], [6, 7]], 1/100776960],
[[[1, 3], [2, 4], [5, 2], [11, 1]], 1/17600],
[[[1, 3], [2, 4], [5, 3], [7, 1]], 1/56000],
[[[1, 3], [2, 4], [5, 3], [9, 1]], 1/144000],
[[[1, 3], [2, 4], [6, 3], [10, 3]], 1/2592000],
[[[1, 3], [2, 4], [6, 3], [14, 2]], 25/1016064],
[[[1, 3], [2, 4], [6, 3], [18, 2]], 5/186624],
[[[1, 3], [2, 4], [6, 4], [22, 1]], 5/5474304],
[[[1, 3], [2, 4], [6, 5], [10, 2]], 1/9331200],
[[[1, 3], [2, 4], [6, 6], [18, 1]], 5/13436928],
[[[1, 3], [2, 4], [6, 7], [8, 1]], 7/967458816],
[[[1, 3], [2, 4], [6, 7], [10, 1]], 1/201553920],
[[[1, 3], [2, 4], [8, 2], [11, 1]], 7/67584],
[[[1, 3], [2, 4], [8, 2], [22, 1]], 3/22528],
[[[1, 3], [2, 4], [10, 2], [22, 1]], 1/4400],
[[[1, 3], [2, 4], [10, 3], [14, 1]], 3/28000],
[[[1, 3], [2, 4], [10, 3], [18, 1]], 1/36000],
[[[1, 3], [2, 4], [14, 2], [18, 1]], 1/14112],
[[[1, 3], [2, 6], [3, 1], [6, 7]], 1279/725594112],
[[[1, 3], [2, 6], [3, 2], [4, 6]], 1/21233664],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 93365/5804752896],
[[[1, 3], [2, 6], [3, 2], [9, 2]], 91/44789760],
[[[1, 3], [2, 6], [3, 2], [10, 3]], 1/96000],
[[[1, 3], [2, 6], [3, 3], [4, 5]], 5/127401984],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 5371/161243136],
[[[1, 3], [2, 6], [3, 3], [11, 1]], 751/1313832960],
[[[1, 3], [2, 6], [3, 4], [5, 2]], 1/298598400],
[[[1, 3], [2, 6], [3, 4], [6, 4]], 10999/322486272],
[[[1, 3], [2, 6], [3, 5], [6, 3]], 545/107495424],
[[[1, 3], [2, 6], [3, 5], [7, 1]], 1/125411328],
[[[1, 3], [2, 6], [3, 5], [9, 1]], 811/3224862720],
[[[1, 3], [2, 6], [3, 6], [6, 2]], 47/644972544],
[[[1, 3], [2, 6], [3, 7], [4, 1]], 1/38698352640],
[[[1, 3], [2, 6], [3, 7], [6, 1]], 1/322486272],
[[[1, 3], [2, 6], [4, 1], [6, 7]], 1345/3869835264],
[[[1, 3], [2, 6], [4, 2], [6, 6]], 17/17915904],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 7/98304],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 9/256000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 19/150528],
[[[1, 3], [2, 6], [4, 3], [6, 5]], 401/214990848],
[[[1, 3], [2, 6], [4, 3], [11, 1]], 409/48660480],
[[[1, 3], [2, 6], [4, 3], [22, 1]], 131/2211840],
[[[1, 3], [2, 6], [4, 4], [5, 2]], 1/14745600],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 3937/2866544640],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 125/2359296],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 41/7372800],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 43/127401984],
[[[1, 3], [2, 6], [4, 5], [7, 1]], 1/4128768],
[[[1, 3], [2, 6], [4, 5], [9, 1]], 5/1769472],
[[[1, 3], [2, 6], [4, 5], [14, 1]], 73/12386304],
[[[1, 3], [2, 6], [4, 5], [18, 1]], 1/5308416],
[[[1, 3], [2, 6], [4, 6], [5, 1]], 1/5898240],
[[[1, 3], [2, 6], [4, 6], [6, 2]], 1/2654208],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 41/14155776],
[[[1, 3], [2, 6], [4, 6], [10, 1]], 1/4423680],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 1/3538944],
[[[1, 3], [2, 6], [5, 1], [6, 6]], 1/3149280],
[[[1, 3], [2, 6], [5, 1], [10, 3]], 7/20000],
[[[1, 3], [2, 6], [5, 2], [8, 2]], 1/614400],
[[[1, 3], [2, 6], [5, 2], [10, 2]], 1/8000],
[[[1, 3], [2, 6], [5, 3], [8, 1]], 1/768000],
[[[1, 3], [2, 6], [5, 3], [10, 1]], 1/32000],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 19/432000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 11/84672],
[[[1, 3], [2, 6], [6, 2], [18, 2]], 881/14929920],
[[[1, 3], [2, 6], [6, 3], [22, 1]], 5147/145981440],
[[[1, 3], [2, 6], [6, 4], [8, 2]], 1/1327104],
[[[1, 3], [2, 6], [6, 4], [10, 2]], 719/74649600],
[[[1, 3], [2, 6], [6, 5], [14, 1]], 109/15676416],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 2489/119439360],
[[[1, 3], [2, 6], [6, 6], [8, 1]], 17/60466176],
[[[1, 3], [2, 6], [6, 6], [10, 1]], 223/403107840],
[[[1, 3], [2, 6], [6, 6], [12, 1]], 5/17915904],
[[[1, 3], [2, 6], [8, 1], [10, 3]], 1/12000],
[[[1, 3], [2, 6], [8, 1], [14, 2]], 5/37632],
[[[1, 3], [2, 6], [8, 2], [10, 2]], 1/51200],
[[[1, 3], [2, 6], [9, 1], [11, 1]], 31/18247680],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 1/5376],
[[[1, 3], [2, 6], [14, 1], [22, 1]], 1/19712],
[[[1, 3], [2, 6], [18, 1], [22, 1]], 3/225280],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 1677757/116095057920],
[[[1, 3], [2, 8], [3, 1], [9, 2]], 1/29859840],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 17/1152000],
[[[1, 3], [2, 8], [3, 1], [14, 2]], 11/846720],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 2501509/54177693696],
[[[1, 3], [2, 8], [3, 2], [11, 1]], 1/72990720],
[[[1, 3], [2, 8], [3, 2], [22, 1]], 37/164229120],
[[[1, 3], [2, 8], [3, 3], [4, 4]], 7/2548039680],
[[[1, 3], [2, 8], [3, 3], [5, 2]], 1/11943936000],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 671263/25798901760],
[[[1, 3], [2, 8], [3, 4], [4, 3]], 1/716636160],
[[[1, 3], [2, 8], [3, 4], [6, 3]], 190829/60197437440],
[[[1, 3], [2, 8], [3, 4], [7, 1]], 1/5016453120],
[[[1, 3], [2, 8], [3, 4], [9, 1]], 13/2149908480],
[[[1, 3], [2, 8], [3, 5], [4, 2]], 1/2866544640],
[[[1, 3], [2, 8], [3, 5], [6, 2]], 1327/8599633920],
[[[1, 3], [2, 8], [3, 6], [6, 1]], 1/12899450880],
[[[1, 3], [2, 8], [4, 1], [5, 3]], 1/30720000],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 19751/3869835264],
[[[1, 3], [2, 8], [4, 1], [8, 3]], 1/196608],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 331/2048000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 53/752640],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 157/15925248],
[[[1, 3], [2, 8], [4, 2], [11, 1]], 3/3604480],
[[[1, 3], [2, 8], [4, 2], [22, 1]], 157/3604480],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 12109/1504935936],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 2777/106168320],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 961109/27869184000],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 588361/80263249920],
[[[1, 3], [2, 8], [4, 4], [9, 1]], 7/35389440],
[[[1, 3], [2, 8], [4, 4], [14, 1]], 14531/1114767360],
[[[1, 3], [2, 8], [4, 4], [18, 1]], 697/1114767360],
[[[1, 3], [2, 8], [4, 5], [5, 1]], 1/5898240],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 155/31850496],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 479/79626240],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 71/29491200],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 1/1179648],
[[[1, 3], [2, 8], [4, 6], [6, 1]], 29/53084160],
[[[1, 3], [2, 8], [5, 1], [6, 5]], 179/167961600],
[[[1, 3], [2, 8], [5, 1], [11, 1]], 1/20275200],
[[[1, 3], [2, 8], [5, 1], [22, 1]], 37/45619200],
[[[1, 3], [2, 8], [5, 2], [7, 1]], 1/64512000],
[[[1, 3], [2, 8], [5, 2], [9, 1]], 1/165888000],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1861/13824000],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 17/241920],
[[[1, 3], [2, 8], [6, 1], [18, 2]], 5/995328],
[[[1, 3], [2, 8], [6, 2], [22, 1]], 269/7299072],
[[[1, 3], [2, 8], [6, 3], [8, 2]], 1/331776],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 824779/10450944000],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 94369/2508226560],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 809/16796160],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 20417/6449725440],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 135181/10749542400],
[[[1, 3], [2, 8], [6, 5], [12, 1]], 5201/1433272320],
[[[1, 3], [2, 8], [8, 1], [11, 1]], 1/6082560],
[[[1, 3], [2, 8], [8, 1], [22, 1]], 751/109486080],
[[[1, 3], [2, 8], [8, 2], [14, 1]], 13/1720320],
[[[1, 3], [2, 8], [10, 1], [22, 1]], 2863/91238400],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 6529/41472000],
[[[1, 3], [2, 8], [10, 2], [18, 1]], 2209/145152000],
[[[1, 3], [2, 10], [3, 1], [4, 5]], 211/2972712960],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 1091339/58047528960],
[[[1, 3], [2, 10], [3, 1], [22, 1]], 43/287400960],
[[[1, 3], [2, 10], [3, 2], [4, 4]], 1/424673280],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 549287/29023764480],
[[[1, 3], [2, 10], [3, 2], [10, 2]], 1789/5225472000],
[[[1, 3], [2, 10], [3, 3], [4, 3]], 1/4586471424],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 94081/90296156160],
[[[1, 3], [2, 10], [3, 4], [6, 2]], 143/18059231232],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 1044919/90296156160],
[[[1, 3], [2, 10], [4, 1], [11, 1]], 1/129761280],
[[[1, 3], [2, 10], [4, 1], [22, 1]], 2351/875888640],
[[[1, 3], [2, 10], [4, 2], [5, 2]], 1/294912000],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 28519/1672151040],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 7489/2972712960],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 12877/290304000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 6203599/515978035200],
[[[1, 3], [2, 10], [4, 3], [7, 1]], 1/82575360],
[[[1, 3], [2, 10], [4, 3], [9, 1]], 1/63700992],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 127429/16721510400],
[[[1, 3], [2, 10], [4, 3], [18, 1]], 15593/50164531200],
[[[1, 3], [2, 10], [4, 4], [5, 1]], 79/2477260800],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 6347/1254113280],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 29749/10701766656],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 132953/33443020800],
[[[1, 3], [2, 10], [4, 4], [12, 1]], 29/743178240],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 13499/13377208320],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 2717/3527193600],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 34681/5806080000],
[[[1, 3], [2, 10], [5, 2], [10, 1]], 13/331776000],
[[[1, 3], [2, 10], [6, 1], [22, 1]], 5503/1532805120],
[[[1, 3], [2, 10], [6, 2], [8, 2]], 1/1474560],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 1509247/20901888000],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 1313071/43893964800],
[[[1, 3], [2, 10], [6, 3], [18, 1]], 37157/1881169920],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 2943509/541776936960],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 1563787/56435097600],
[[[1, 3], [2, 10], [6, 4], [12, 1]], 257/119439360],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 15919/1741824000],
[[[1, 3], [2, 10], [8, 2], [10, 1]], 1/2150400],
[[[1, 3], [2, 10], [14, 1], [18, 1]], 263/304819200],
[[[1, 3], [2, 12], [3, 1], [4, 4]], 14011/1261279641600],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 1845924407/357572778393600],
[[[1, 3], [2, 12], [3, 1], [8, 2]], 67/367873228800],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 737/2612736000],
[[[1, 3], [2, 12], [3, 2], [4, 3]], 1/637009920],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 5568839/5108182548480],
[[[1, 3], [2, 12], [3, 2], [14, 1]], 47/12541132800],
[[[1, 3], [2, 12], [3, 2], [18, 1]], 67/1241572147200],
[[[1, 3], [2, 12], [3, 3], [6, 2]], 355847/39730308710400],
[[[1, 3], [2, 12], [3, 4], [6, 1]], 67/9932577177600],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 34009319/5417769369600],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 361/7431782400],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 1335713/222953472000],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 15297583/2522559283200],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 487643/312134860800],
[[[1, 3], [2, 12], [4, 2], [18, 1]], 79/1816657920],
[[[1, 3], [2, 12], [4, 3], [5, 1]], 221/55738368000],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 14747483/6621718118400],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 140017/367873228800],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 2622601/1839366144000],
[[[1, 3], [2, 12], [4, 3], [12, 1]], 11/2090188800],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 391199/802632499200],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 2791427/24831442944000],
[[[1, 3], [2, 12], [5, 1], [14, 1]], 47/3483648000],
[[[1, 3], [2, 12], [5, 1], [18, 1]], 67/344881152000],
[[[1, 3], [2, 12], [6, 1], [8, 2]], 13/743178240],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 184159/20901888000],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 414097/87787929600],
[[[1, 3], [2, 12], [6, 2], [18, 1]], 265439/200658124800],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 8507173/7449432883200],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 271316821/24831442944000],
[[[1, 3], [2, 12], [6, 3], [12, 1]], 9259/50164531200],
[[[1, 3], [2, 12], [8, 1], [14, 1]], 11233/58525286400],
[[[1, 3], [2, 12], [8, 1], [18, 1]], 79/51732172800],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 226763/111476736000],
[[[1, 3], [2, 12], [10, 1], [18, 1]], 28661/344881152000],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 1667/963158999040],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 230593801/715145556787200],
[[[1, 3], [2, 14], [3, 1], [14, 1]], 137/53648179200],
[[[1, 3], [2, 14], [3, 1], [18, 1]], 73/4966288588800],
[[[1, 3], [2, 14], [3, 2], [4, 2]], 481/13243436236800],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 5135687/476763704524800],
[[[1, 3], [2, 14], [3, 2], [8, 1]], 1/662171811840],
[[[1, 3], [2, 14], [3, 2], [10, 1]], 421/2069286912000],
[[[1, 3], [2, 14], [3, 3], [4, 1]], 1/1655429529600],
[[[1, 3], [2, 14], [3, 3], [6, 1]], 713/39730308710400],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 73991941/86684309913600],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 259351/3433483468800],
[[[1, 3], [2, 14], [4, 1], [18, 1]], 22423/13243436236800],
[[[1, 3], [2, 14], [4, 2], [5, 1]], 421/2452488192000],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 715007/1471492915200],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 81743/4414478745600],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 1298207/7357464576000],
[[[1, 3], [2, 14], [4, 2], [12, 1]], 1129/4414478745600],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 1261679/13243436236800],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 6767/2069286912000],
[[[1, 3], [2, 14], [5, 1], [8, 1]], 1/306561024000],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 1711/681246720000],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 357389/2207239372800],
[[[1, 3], [2, 14], [6, 1], [18, 1]], 4033/264868724736],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 284743/5675758387200],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 8835257/9459597312000],
[[[1, 3], [2, 14], [6, 2], [12, 1]], 2207/630639820800],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 152441/11036196864000],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 61477/741632429260800],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 12887321/2503009448755200],
[[[1, 3], [2, 16], [3, 1], [8, 1]], 23/10319560704000],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 3929/28970016768000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 1/1059474898944],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 3936983/200240755900416000],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 2941/662171811840000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 8764297/278112160972800],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 901783/2472108097536000],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 2232767/309013512192000],
[[[1, 3], [2, 16], [4, 1], [12, 1]], 1411/397303087104000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 1593859/176579149824000],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 1241/49662885888000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 1929119/3337345931673600],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 54753191/2781121609728000],
[[[1, 3], [2, 16], [6, 1], [12, 1]], 229/15259926528000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 593/397303087104000],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 298757/14302911135744000],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 5682601/16686729658368000],
[[[1, 3], [3, 2], [7, 1], [9, 2]], 1/6804],
[[[1, 3], [3, 3], [4, 2], [9, 2]], 1/93312],
[[[1, 3], [3, 3], [5, 1], [7, 2]], 1/635040],
[[[1, 3], [3, 3], [7, 1], [11, 1]], 1/199584],
[[[1, 3], [3, 4], [4, 2], [11, 1]], 1/2737152],
[[[1, 3], [3, 5], [7, 1], [9, 1]], 1/489888],
[[[1, 3], [3, 6], [4, 2], [9, 1]], 1/6718464],
[[[1, 3], [5, 1], [7, 2], [9, 1]], 1/8820],
[[[1, 3], [7, 1], [9, 1], [11, 1]], 1/2772],
[[[1, 4], [2, 1], [3, 4], [7, 2]], 1/381024],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/69984],
[[[1, 4], [2, 1], [3, 5], [11, 1]], 1/2052864],
[[[1, 4], [2, 1], [3, 7], [4, 3]], 1/1934917632],
[[[1, 4], [2, 1], [3, 7], [7, 1]], 1/35271936],
[[[1, 4], [2, 1], [3, 7], [9, 1]], 1/5038848],
[[[1, 4], [2, 1], [3, 8], [4, 2]], 1/483729408],
[[[1, 4], [2, 1], [4, 5], [11, 1]], 1/1622016],
[[[1, 4], [2, 1], [5, 2], [7, 2]], 1/4900],
[[[1, 4], [2, 3], [3, 2], [6, 7]], 1/10077696],
[[[1, 4], [2, 3], [3, 3], [5, 3]], 1/2592000],
[[[1, 4], [2, 3], [3, 3], [6, 6]], 13/20155392],
[[[1, 4], [2, 3], [3, 3], [7, 2]], 25/1016064],
[[[1, 4], [2, 3], [3, 3], [9, 2]], 5/186624],
[[[1, 4], [2, 3], [3, 4], [4, 5]], 1/47775744],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 73/13436928],
[[[1, 4], [2, 3], [3, 4], [11, 1]], 5/5474304],
[[[1, 4], [2, 3], [3, 5], [4, 4]], 1/17915904],
[[[1, 4], [2, 3], [3, 5], [5, 2]], 1/9331200],
[[[1, 4], [2, 3], [3, 5], [6, 4]], 203/20155392],
[[[1, 4], [2, 3], [3, 6], [4, 3]], 13/322486272],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 49/40310784],
[[[1, 4], [2, 3], [3, 6], [9, 1]], 5/13436928],
[[[1, 4], [2, 3], [3, 7], [4, 2]], 1/143327232],
[[[1, 4], [2, 3], [3, 7], [5, 1]], 1/201553920],
[[[1, 4], [2, 3], [3, 7], [6, 2]], 43/90699264],
[[[1, 4], [2, 3], [3, 7], [8, 1]], 7/967458816],
[[[1, 4], [2, 3], [3, 7], [10, 1]], 1/100776960],
[[[1, 4], [2, 3], [3, 8], [6, 1]], 1/181398528],
[[[1, 4], [2, 3], [4, 3], [5, 3]], 1/512000],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 1/16384],
[[[1, 4], [2, 3], [4, 3], [10, 3]], 1/1536000],
[[[1, 4], [2, 3], [4, 4], [6, 5]], 1/143327232],
[[[1, 4], [2, 3], [4, 4], [11, 1]], 5/360448],
[[[1, 4], [2, 3], [4, 4], [22, 1]], 7/1622016],
[[[1, 4], [2, 3], [4, 5], [5, 2]], 1/14745600],
[[[1, 4], [2, 3], [4, 5], [6, 4]], 1/47775744],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 1/196608],
[[[1, 4], [2, 3], [4, 6], [6, 3]], 1/382205952],
[[[1, 4], [2, 3], [4, 6], [7, 1]], 1/4128768],
[[[1, 4], [2, 3], [4, 6], [18, 1]], 1/5308416],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 1/2359296],
[[[1, 4], [2, 3], [5, 2], [11, 1]], 1/4400],
[[[1, 4], [2, 3], [5, 3], [7, 1]], 3/28000],
[[[1, 4], [2, 3], [5, 3], [9, 1]], 1/36000],
[[[1, 4], [2, 3], [6, 3], [10, 3]], 1/10368000],
[[[1, 4], [2, 3], [6, 3], [18, 2]], 13/1119744],
[[[1, 4], [2, 3], [6, 4], [22, 1]], 13/32845824],
[[[1, 4], [2, 3], [6, 6], [18, 1]], 13/80621568],
[[[1, 4], [2, 3], [6, 7], [8, 1]], 1/967458816],
[[[1, 4], [2, 3], [7, 2], [9, 1]], 1/14112],
[[[1, 4], [2, 3], [8, 2], [11, 1]], 3/22528],
[[[1, 4], [2, 3], [8, 2], [22, 1]], 7/67584],
[[[1, 4], [2, 3], [10, 2], [22, 1]], 1/17600],
[[[1, 4], [2, 3], [10, 3], [14, 1]], 1/56000],
[[[1, 4], [2, 3], [10, 3], [18, 1]], 1/144000],
[[[1, 4], [2, 5], [3, 1], [6, 7]], 167/725594112],
[[[1, 4], [2, 5], [3, 2], [4, 6]], 1/15925248],
[[[1, 4], [2, 5], [3, 2], [5, 3]], 1/576000],
[[[1, 4], [2, 5], [3, 2], [6, 6]], 23741/1934917632],
[[[1, 4], [2, 5], [3, 2], [9, 2]], 203/8957952],
[[[1, 4], [2, 5], [3, 2], [10, 3]], 1/96000],
[[[1, 4], [2, 5], [3, 3], [4, 5]], 55/127401984],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 4279/80621568],
[[[1, 4], [2, 5], [3, 3], [11, 1]], 1963/262766592],
[[[1, 4], [2, 5], [3, 3], [22, 1]], 1/114048],
[[[1, 4], [2, 5], [3, 4], [4, 4]], 103/286654464],
[[[1, 4], [2, 5], [3, 4], [5, 2]], 19/149299200],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 4907/53747712],
[[[1, 4], [2, 5], [3, 4], [8, 2]], 1/11943936],
[[[1, 4], [2, 5], [3, 5], [4, 3]], 41/429981696],
[[[1, 4], [2, 5], [3, 5], [6, 3]], 1039/35831808],
[[[1, 4], [2, 5], [3, 5], [7, 1]], 1/8957952],
[[[1, 4], [2, 5], [3, 5], [9, 1]], 2131/644972544],
[[[1, 4], [2, 5], [3, 6], [5, 1]], 1/268738560],
[[[1, 4], [2, 5], [3, 6], [6, 2]], 1555/644972544],
[[[1, 4], [2, 5], [3, 6], [8, 1]], 1/40310784],
[[[1, 4], [2, 5], [3, 6], [12, 1]], 1/107495424],
[[[1, 4], [2, 5], [3, 7], [4, 1]], 7/12899450880],
[[[1, 4], [2, 5], [3, 7], [6, 1]], 119/2902376448],
[[[1, 4], [2, 5], [4, 1], [6, 7]], 7/1289945088],
[[[1, 4], [2, 5], [4, 2], [5, 3]], 9/1024000],
[[[1, 4], [2, 5], [4, 2], [6, 6]], 73/214990848],
[[[1, 4], [2, 5], [4, 2], [7, 2]], 1/75264],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 1/8192],
[[[1, 4], [2, 5], [4, 2], [10, 3]], 89/3072000],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 1/10752],
[[[1, 4], [2, 5], [4, 3], [6, 5]], 119/107495424],
[[[1, 4], [2, 5], [4, 3], [11, 1]], 2989/48660480],
[[[1, 4], [2, 5], [4, 3], [22, 1]], 155/1622016],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 1/460800],
[[[1, 4], [2, 5], [4, 4], [6, 4]], 131/95551488],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 263/2359296],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 19/3276800],
[[[1, 4], [2, 5], [4, 5], [6, 3]], 199/382205952],
[[[1, 4], [2, 5], [4, 5], [7, 1]], 1/589824],
[[[1, 4], [2, 5], [4, 5], [9, 1]], 7/1769472],
[[[1, 4], [2, 5], [4, 5], [14, 1]], 3/458752],
[[[1, 4], [2, 5], [4, 5], [18, 1]], 7/5308416],
[[[1, 4], [2, 5], [4, 6], [5, 1]], 1/1474560],
[[[1, 4], [2, 5], [4, 6], [6, 2]], 1/15925248],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 23/2359296],
[[[1, 4], [2, 5], [4, 6], [10, 1]], 1/1474560],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 1/884736],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 1/3538944],
[[[1, 4], [2, 5], [5, 1], [6, 6]], 1/4199040],
[[[1, 4], [2, 5], [5, 1], [7, 2]], 1/1128960],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 7/20000],
[[[1, 4], [2, 5], [5, 2], [8, 2]], 1/76800],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 3/8000],
[[[1, 4], [2, 5], [5, 3], [6, 2]], 1/288000],
[[[1, 4], [2, 5], [5, 3], [8, 1]], 1/51200],
[[[1, 4], [2, 5], [5, 3], [10, 1]], 27/160000],
[[[1, 4], [2, 5], [6, 2], [10, 3]], 1/69120],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 1/18816],
[[[1, 4], [2, 5], [6, 2], [18, 2]], 485/8957952],
[[[1, 4], [2, 5], [6, 3], [11, 1]], 1/114048],
[[[1, 4], [2, 5], [6, 3], [22, 1]], 5017/262766592],
[[[1, 4], [2, 5], [6, 4], [8, 2]], 7/11943936],
[[[1, 4], [2, 5], [6, 4], [10, 2]], 167/59719680],
[[[1, 4], [2, 5], [6, 5], [14, 1]], 17/41803776],
[[[1, 4], [2, 5], [6, 5], [18, 1]], 5533/644972544],
[[[1, 4], [2, 5], [6, 6], [8, 1]], 11/60466176],
[[[1, 4], [2, 5], [6, 6], [10, 1]], 1/5971968],
[[[1, 4], [2, 5], [6, 6], [12, 1]], 13/107495424],
[[[1, 4], [2, 5], [7, 1], [11, 1]], 1/354816],
[[[1, 4], [2, 5], [8, 1], [10, 3]], 1/16000],
[[[1, 4], [2, 5], [8, 1], [14, 2]], 1/12544],
[[[1, 4], [2, 5], [8, 2], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [9, 1], [11, 1]], 43/3649536],
[[[1, 4], [2, 5], [10, 1], [14, 2]], 17/225792],
[[[1, 4], [2, 5], [14, 1], [22, 1]], 13/354816],
[[[1, 4], [2, 5], [18, 1], [22, 1]], 73/3649536],
[[[1, 4], [2, 7], [3, 1], [4, 6]], 1/2359296],
[[[1, 4], [2, 7], [3, 1], [5, 3]], 1/4608000],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 1301707/116095057920],
[[[1, 4], [2, 7], [3, 1], [9, 2]], 47/44789760],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 17/576000],
[[[1, 4], [2, 7], [3, 1], [14, 2]], 5/169344],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 1/1327104],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 547319/6449725440],
[[[1, 4], [2, 7], [3, 2], [11, 1]], 137/109486080],
[[[1, 4], [2, 7], [3, 2], [22, 1]], 37/9123840],
[[[1, 4], [2, 7], [3, 3], [4, 4]], 31/382205952],
[[[1, 4], [2, 7], [3, 3], [5, 2]], 47/746496000],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 3202051/25798901760],
[[[1, 4], [2, 7], [3, 3], [10, 2]], 1/1036800],
[[[1, 4], [2, 7], [3, 4], [4, 3]], 1/44789760],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 246439/8599633920],
[[[1, 4], [2, 7], [3, 4], [7, 1]], 391/2508226560],
[[[1, 4], [2, 7], [3, 4], [9, 1]], 77/89579520],
[[[1, 4], [2, 7], [3, 5], [4, 2]], 1/89579520],
[[[1, 4], [2, 7], [3, 5], [5, 1]], 31/10749542400],
[[[1, 4], [2, 7], [3, 5], [6, 2]], 10849/4299816960],
[[[1, 4], [2, 7], [3, 5], [8, 1]], 1/429981696],
[[[1, 4], [2, 7], [3, 5], [12, 1]], 1/4299816960],
[[[1, 4], [2, 7], [3, 6], [4, 1]], 19/6449725440],
[[[1, 4], [2, 7], [3, 6], [6, 1]], 911/12899450880],
[[[1, 4], [2, 7], [4, 1], [5, 3]], 43/30720000],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 973/322486272],
[[[1, 4], [2, 7], [4, 1], [8, 3]], 3/65536],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1219/6144000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 251/2257920],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 325/26873856],
[[[1, 4], [2, 7], [4, 2], [11, 1]], 217/19464192],
[[[1, 4], [2, 7], [4, 2], [22, 1]], 11699/97320960],
[[[1, 4], [2, 7], [4, 3], [5, 2]], 1129/442368000],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 33691/2149908480],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 5041/35389440],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 8699/110592000],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 254747/22932357120],
[[[1, 4], [2, 7], [4, 4], [7, 1]], 17/3870720],
[[[1, 4], [2, 7], [4, 4], [9, 1]], 31/5308416],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 319/9175040],
[[[1, 4], [2, 7], [4, 4], [18, 1]], 1339/318504960],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 23/5898240],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 71/7962624],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 24991/637009920],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 157/17694720],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 7/1179648],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 299/63700992],
[[[1, 4], [2, 7], [5, 1], [6, 5]], 13/5598720],
[[[1, 4], [2, 7], [5, 1], [11, 1]], 7/3379200],
[[[1, 4], [2, 7], [5, 1], [22, 1]], 17/2534400],
[[[1, 4], [2, 7], [5, 2], [7, 1]], 1/1536000],
[[[1, 4], [2, 7], [5, 2], [9, 1]], 1/5184000],
[[[1, 4], [2, 7], [5, 3], [6, 1]], 1/1152000],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 1657/13824000],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 115/1354752],
[[[1, 4], [2, 7], [6, 1], [18, 2]], 547/44789760],
[[[1, 4], [2, 7], [6, 2], [11, 1]], 1/405504],
[[[1, 4], [2, 7], [6, 2], [22, 1]], 5567/109486080],
[[[1, 4], [2, 7], [6, 3], [8, 2]], 17/2985984],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 40589/746496000],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 65587/2508226560],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 39719/806215680],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 1957/806215680],
[[[1, 4], [2, 7], [6, 5], [10, 1]], 4661/716636160],
[[[1, 4], [2, 7], [6, 5], [12, 1]], 2009/859963392],
[[[1, 4], [2, 7], [7, 1], [8, 2]], 1/344064],
[[[1, 4], [2, 7], [8, 1], [11, 1]], 47/12165120],
[[[1, 4], [2, 7], [8, 1], [22, 1]], 679/27371520],
[[[1, 4], [2, 7], [8, 2], [14, 1]], 71/2580480],
[[[1, 4], [2, 7], [10, 1], [11, 1]], 1/1013760],
[[[1, 4], [2, 7], [10, 1], [22, 1]], 53/921600],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 5477/32256000],
[[[1, 4], [2, 7], [10, 2], [18, 1]], 7/324000],
[[[1, 4], [2, 9], [3, 1], [4, 5]], 2339/2972712960],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 1225537/33861058560],
[[[1, 4], [2, 9], [3, 1], [11, 1]], 1/26542080],
[[[1, 4], [2, 9], [3, 1], [22, 1]], 115/65691648],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 121/318504960],
[[[1, 4], [2, 9], [3, 2], [5, 2]], 1/663552000],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 3674747/45148078080],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 26233/10450944000],
[[[1, 4], [2, 9], [3, 3], [4, 3]], 139/4586471424],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 884081/45148078080],
[[[1, 4], [2, 9], [3, 3], [7, 1]], 5/1337720832],
[[[1, 4], [2, 9], [3, 3], [9, 1]], 17/716636160],
[[[1, 4], [2, 9], [3, 3], [14, 1]], 1/8709120],
[[[1, 4], [2, 9], [3, 4], [4, 2]], 1/119439360],
[[[1, 4], [2, 9], [3, 4], [5, 1]], 1/14332723200],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 2801/5016453120],
[[[1, 4], [2, 9], [3, 5], [4, 1]], 1/8599633920],
[[[1, 4], [2, 9], [3, 5], [6, 1]], 37/12899450880],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1721/95551488],
[[[1, 4], [2, 9], [4, 1], [11, 1]], 107/389283840],
[[[1, 4], [2, 9], [4, 1], [22, 1]], 27851/2043740160],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 13/73728000],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 1249027/30098718720],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 92437/2972712960],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 460519/3096576000],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 9853777/240789749760],
[[[1, 4], [2, 9], [4, 3], [7, 1]], 3/9175040],
[[[1, 4], [2, 9], [4, 3], [9, 1]], 119/318504960],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 16517/371589120],
[[[1, 4], [2, 9], [4, 3], [18, 1]], 11857/3344302080],
[[[1, 4], [2, 9], [4, 4], [5, 1]], 977/796262400],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 936713/40131624960],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 398029/17836277760],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 214019/11147673600],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 493/238878720],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 13319/1911029760],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 4943/1567641600],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 175951/5806080000],
[[[1, 4], [2, 9], [5, 2], [8, 1]], 1/55296000],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 539/331776000],
[[[1, 4], [2, 9], [6, 1], [11, 1]], 1/12165120],
[[[1, 4], [2, 9], [6, 1], [22, 1]], 15461/1313832960],
[[[1, 4], [2, 9], [6, 2], [8, 2]], 277/79626240],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 75833/696729600],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 101551/2006581248],
[[[1, 4], [2, 9], [6, 3], [18, 1]], 15361/358318080],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 4989251/541776936960],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 335003/10032906240],
[[[1, 4], [2, 9], [6, 4], [12, 1]], 4189/1074954240],
[[[1, 4], [2, 9], [7, 1], [9, 1]], 1/92897280],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 28271/995328000],
[[[1, 4], [2, 9], [8, 2], [10, 1]], 73/22118400],
[[[1, 4], [2, 9], [14, 1], [18, 1]], 17/5160960],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 113917/267544166400],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 84231829/4063327027200],
[[[1, 4], [2, 11], [3, 1], [8, 2]], 47/11147673600],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 49657/20901888000],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 1/18350080],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 119600473/10835538739200],
[[[1, 4], [2, 11], [3, 2], [9, 1]], 1/5733089280],
[[[1, 4], [2, 11], [3, 2], [14, 1]], 1051/12541132800],
[[[1, 4], [2, 11], [3, 2], [18, 1]], 47/37623398400],
[[[1, 4], [2, 11], [3, 3], [4, 2]], 199/107017666560],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 631951/1805923123200],
[[[1, 4], [2, 11], [3, 3], [10, 1]], 1/261273600],
[[[1, 4], [2, 11], [3, 4], [6, 1]], 223/1203948748800],
[[[1, 4], [2, 11], [4, 1], [5, 2]], 1/1179648000],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 35179169/1805923123200],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 2063/2675441664],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 755453/27869184000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 47369383/1605264998400],
[[[1, 4], [2, 11], [4, 2], [7, 1]], 1/110100480],
[[[1, 4], [2, 11], [4, 2], [9, 1]], 1/212336640],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 132211/11147673600],
[[[1, 4], [2, 11], [4, 2], [18, 1]], 35989/66886041600],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 221/1592524800],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 10764329/601974374400],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 509071/89181388800],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 2277757/167215104000],
[[[1, 4], [2, 11], [4, 3], [12, 1]], 517/3344302080],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 420223/89181388800],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 674287/752467968000],
[[[1, 4], [2, 11], [5, 1], [7, 1]], 1/7431782400],
[[[1, 4], [2, 11], [5, 1], [14, 1]], 691/3483648000],
[[[1, 4], [2, 11], [5, 1], [18, 1]], 47/10450944000],
[[[1, 4], [2, 11], [6, 1], [8, 2]], 293/1337720832],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 2246417/83607552000],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 467237/29262643200],
[[[1, 4], [2, 11], [6, 2], [18, 1]], 5200093/902961561600],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 71755913/14898865766400],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 4550219/167215104000],
[[[1, 4], [2, 11], [6, 3], [12, 1]], 47287/60197437440],
[[[1, 4], [2, 11], [8, 1], [14, 1]], 87377/58525286400],
[[[1, 4], [2, 11], [8, 1], [18, 1]], 3463/206928691200],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 10036309/1170505728000],
[[[1, 4], [2, 11], [10, 1], [18, 1]], 3217/6967296000],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 3029321/52973744947200],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 1775108329/715145556787200],
[[[1, 4], [2, 13], [3, 1], [14, 1]], 8149/175575859200],
[[[1, 4], [2, 13], [3, 1], [18, 1]], 977/2483144294400],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 2801/1103619686400],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 9361951/39730308710400],
[[[1, 4], [2, 13], [3, 2], [8, 1]], 67/662171811840],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 521/98537472000],
[[[1, 4], [2, 13], [3, 3], [4, 1]], 67/1655429529600],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 19561/19865154355200],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 1567279963/317842469683200],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 7274209/10300450406400],
[[[1, 4], [2, 13], [4, 1], [18, 1]], 19423/882895749120],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 3151/459841536000],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 239146891/52973744947200],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 1077059/3210529996800],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 10049609/4904976384000],
[[[1, 4], [2, 13], [4, 2], [12, 1]], 1699/275904921600],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 384673/264868724736],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 35569/689762304000],
[[[1, 4], [2, 13], [5, 1], [8, 1]], 67/306561024000],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 334337/8174960640000],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 2808341/2809213747200],
[[[1, 4], [2, 13], [6, 1], [18, 1]], 4927949/39730308710400],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 384761/902961561600],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 9701387/2207239372800],
[[[1, 4], [2, 13], [6, 2], [12, 1]], 188117/6621718118400],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 415673/2759049216000],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 280613/105947489894400],
[[[1, 4], [2, 15], [3, 1], [5, 1]], 1/1379524608000],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 5310961/75848771174400],
[[[1, 4], [2, 15], [3, 1], [8, 1]], 18499/264868724736000],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 54191/16554295296000],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 1697/26486872473600],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 164041/192631799808000],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 43849/220723937280000],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 254263/802632499200],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 35413/5045118566400],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 9369757/103004504064000],
[[[1, 4], [2, 15], [4, 1], [12, 1]], 9979/132434362368000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 1428067/9631589990400],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 943/1379524608000],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 811123/95352740904960],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 14195023/88289574912000],
[[[1, 4], [2, 15], [6, 1], [12, 1]], 211433/1059474898944000],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 439517/8343364829184000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 85027/182037050818560],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 4380601/794606174208000],
[[[1, 5], [2, 2], [3, 3], [5, 3]], 1/1728000],
[[[1, 5], [2, 2], [3, 3], [6, 6]], 1/6718464],
[[[1, 5], [2, 2], [3, 3], [7, 2]], 173/3048192],
[[[1, 5], [2, 2], [3, 3], [9, 2]], 1/20736],
[[[1, 5], [2, 2], [3, 4], [4, 5]], 1/286654464],
[[[1, 5], [2, 2], [3, 4], [6, 5]], 1/13436928],
[[[1, 5], [2, 2], [3, 4], [11, 1]], 53/5474304],
[[[1, 5], [2, 2], [3, 5], [4, 4]], 7/143327232],
[[[1, 5], [2, 2], [3, 5], [5, 2]], 7/18662400],
[[[1, 5], [2, 2], [3, 5], [6, 4]], 95/20155392],
[[[1, 5], [2, 2], [3, 6], [4, 3]], 35/483729408],
[[[1, 5], [2, 2], [3, 6], [6, 3]], 53/40310784],
[[[1, 5], [2, 2], [3, 6], [7, 1]], 19/23514624],
[[[1, 5], [2, 2], [3, 6], [9, 1]], 19/4478976],
[[[1, 5], [2, 2], [3, 7], [4, 2]], 25/429981696],
[[[1, 5], [2, 2], [3, 7], [5, 1]], 1/67184640],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 17/45349632],
[[[1, 5], [2, 2], [3, 7], [8, 1]], 1/107495424],
[[[1, 5], [2, 2], [3, 7], [10, 1]], 1/100776960],
[[[1, 5], [2, 2], [3, 8], [4, 1]], 1/80621568],
[[[1, 5], [2, 2], [3, 8], [6, 1]], 13/181398528],
[[[1, 5], [2, 2], [4, 3], [5, 3]], 1/512000],
[[[1, 5], [2, 2], [4, 3], [7, 2]], 1/75264],
[[[1, 5], [2, 2], [4, 4], [11, 1]], 13/1081344],
[[[1, 5], [2, 2], [4, 4], [22, 1]], 1/1622016],
[[[1, 5], [2, 2], [4, 5], [5, 2]], 1/7372800],
[[[1, 5], [2, 2], [4, 5], [8, 2]], 1/196608],
[[[1, 5], [2, 2], [4, 6], [6, 3]], 1/382205952],
[[[1, 5], [2, 2], [4, 6], [7, 1]], 1/4128768],
[[[1, 5], [2, 2], [4, 6], [18, 1]], 1/5308416],
[[[1, 5], [2, 2], [5, 2], [11, 1]], 3/8800],
[[[1, 5], [2, 2], [5, 3], [7, 1]], 3/14000],
[[[1, 5], [2, 2], [5, 3], [9, 1]], 1/24000],
[[[1, 5], [2, 2], [6, 3], [18, 2]], 1/1119744],
[[[1, 5], [2, 2], [6, 4], [22, 1]], 1/32845824],
[[[1, 5], [2, 2], [6, 6], [18, 1]], 1/80621568],
[[[1, 5], [2, 2], [7, 2], [9, 1]], 5/42336],
[[[1, 5], [2, 2], [8, 2], [11, 1]], 1/22528],
[[[1, 5], [2, 2], [8, 2], [22, 1]], 1/67584],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 1/3538944],
[[[1, 5], [2, 4], [3, 1], [6, 7]], 119/2902376448],
[[[1, 5], [2, 4], [3, 2], [4, 6]], 1/15925248],
[[[1, 5], [2, 4], [3, 2], [5, 3]], 1/69120],
[[[1, 5], [2, 4], [3, 2], [6, 6]], 1555/644972544],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 1/18816],
[[[1, 5], [2, 4], [3, 2], [9, 2]], 485/8957952],
[[[1, 5], [2, 4], [3, 2], [10, 3]], 1/288000],
[[[1, 5], [2, 4], [3, 3], [4, 5]], 199/382205952],
[[[1, 5], [2, 4], [3, 3], [6, 5]], 1039/35831808],
[[[1, 5], [2, 4], [3, 3], [11, 1]], 5017/262766592],
[[[1, 5], [2, 4], [3, 3], [22, 1]], 1/114048],
[[[1, 5], [2, 4], [3, 4], [4, 4]], 131/95551488],
[[[1, 5], [2, 4], [3, 4], [5, 2]], 167/59719680],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 4907/53747712],
[[[1, 5], [2, 4], [3, 4], [8, 2]], 7/11943936],
[[[1, 5], [2, 4], [3, 5], [4, 3]], 119/107495424],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 4279/80621568],
[[[1, 5], [2, 4], [3, 5], [7, 1]], 17/41803776],
[[[1, 5], [2, 4], [3, 5], [9, 1]], 5533/644972544],
[[[1, 5], [2, 4], [3, 6], [4, 2]], 73/214990848],
[[[1, 5], [2, 4], [3, 6], [5, 1]], 1/5971968],
[[[1, 5], [2, 4], [3, 6], [6, 2]], 23741/1934917632],
[[[1, 5], [2, 4], [3, 6], [8, 1]], 11/60466176],
[[[1, 5], [2, 4], [3, 6], [10, 1]], 1/4199040],
[[[1, 5], [2, 4], [3, 6], [12, 1]], 13/107495424],
[[[1, 5], [2, 4], [3, 7], [4, 1]], 7/1289945088],
[[[1, 5], [2, 4], [3, 7], [6, 1]], 167/725594112],
[[[1, 5], [2, 4], [4, 1], [6, 7]], 7/12899450880],
[[[1, 5], [2, 4], [4, 2], [5, 3]], 89/3072000],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 1/10752],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 1/8192],
[[[1, 5], [2, 4], [4, 2], [10, 3]], 9/1024000],
[[[1, 5], [2, 4], [4, 2], [14, 2]], 1/75264],
[[[1, 5], [2, 4], [4, 3], [6, 5]], 41/429981696],
[[[1, 5], [2, 4], [4, 3], [11, 1]], 155/1622016],
[[[1, 5], [2, 4], [4, 3], [22, 1]], 2989/48660480],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 19/3276800],
[[[1, 5], [2, 4], [4, 4], [6, 4]], 103/286654464],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 263/2359296],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 1/460800],
[[[1, 5], [2, 4], [4, 5], [6, 3]], 55/127401984],
[[[1, 5], [2, 4], [4, 5], [7, 1]], 3/458752],
[[[1, 5], [2, 4], [4, 5], [9, 1]], 7/5308416],
[[[1, 5], [2, 4], [4, 5], [14, 1]], 1/589824],
[[[1, 5], [2, 4], [4, 5], [18, 1]], 7/1769472],
[[[1, 5], [2, 4], [4, 6], [5, 1]], 1/1474560],
[[[1, 5], [2, 4], [4, 6], [6, 2]], 1/15925248],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 23/2359296],
[[[1, 5], [2, 4], [4, 6], [10, 1]], 1/1474560],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 1/884736],
[[[1, 5], [2, 4], [5, 1], [7, 2]], 17/225792],
[[[1, 5], [2, 4], [5, 1], [10, 3]], 27/160000],
[[[1, 5], [2, 4], [5, 2], [8, 2]], 1/38400],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 3/8000],
[[[1, 5], [2, 4], [5, 3], [6, 2]], 1/96000],
[[[1, 5], [2, 4], [5, 3], [8, 1]], 1/16000],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 7/20000],
[[[1, 5], [2, 4], [6, 2], [10, 3]], 1/576000],
[[[1, 5], [2, 4], [6, 2], [18, 2]], 203/8957952],
[[[1, 5], [2, 4], [6, 3], [11, 1]], 1/114048],
[[[1, 5], [2, 4], [6, 3], [22, 1]], 1963/262766592],
[[[1, 5], [2, 4], [6, 4], [8, 2]], 1/11943936],
[[[1, 5], [2, 4], [6, 4], [10, 2]], 19/149299200],
[[[1, 5], [2, 4], [6, 5], [14, 1]], 1/8957952],
[[[1, 5], [2, 4], [6, 5], [18, 1]], 2131/644972544],
[[[1, 5], [2, 4], [6, 6], [8, 1]], 1/40310784],
[[[1, 5], [2, 4], [6, 6], [10, 1]], 1/268738560],
[[[1, 5], [2, 4], [6, 6], [12, 1]], 1/107495424],
[[[1, 5], [2, 4], [7, 1], [11, 1]], 13/354816],
[[[1, 5], [2, 4], [7, 2], [8, 1]], 1/12544],
[[[1, 5], [2, 4], [8, 1], [10, 3]], 1/51200],
[[[1, 5], [2, 4], [8, 2], [10, 2]], 1/76800],
[[[1, 5], [2, 4], [9, 1], [11, 1]], 73/3649536],
[[[1, 5], [2, 4], [10, 1], [14, 2]], 1/1128960],
[[[1, 5], [2, 4], [14, 1], [22, 1]], 1/354816],
[[[1, 5], [2, 4], [18, 1], [22, 1]], 43/3649536],
[[[1, 5], [2, 6], [3, 1], [4, 6]], 49/21233664],
[[[1, 5], [2, 6], [3, 1], [5, 3]], 17/1536000],
[[[1, 5], [2, 6], [3, 1], [6, 6]], 80081/23219011584],
[[[1, 5], [2, 6], [3, 1], [7, 2]], 1/1354752],
[[[1, 5], [2, 6], [3, 1], [9, 2]], 169/22394880],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 1/38400],
[[[1, 5], [2, 6], [3, 1], [14, 2]], 1/56448],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 11/3538944],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 33673/537477120],
[[[1, 5], [2, 6], [3, 2], [11, 1]], 49/3421440],
[[[1, 5], [2, 6], [3, 2], [22, 1]], 37/1824768],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 203/42467328],
[[[1, 5], [2, 6], [3, 3], [5, 2]], 5201/1990656000],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 984853/5159780352],
[[[1, 5], [2, 6], [3, 3], [8, 2]], 1/1990656],
[[[1, 5], [2, 6], [3, 3], [10, 2]], 1/518400],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 9197/4299816960],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 1007317/8599633920],
[[[1, 5], [2, 6], [3, 4], [7, 1]], 49/22394880],
[[[1, 5], [2, 6], [3, 4], [9, 1]], 2279/214990848],
[[[1, 5], [2, 6], [3, 5], [4, 2]], 203/1433272320],
[[[1, 5], [2, 6], [3, 5], [5, 1]], 1441/10749542400],
[[[1, 5], [2, 6], [3, 5], [6, 2]], 26347/1433272320],
[[[1, 5], [2, 6], [3, 5], [8, 1]], 19/107495424],
[[[1, 5], [2, 6], [3, 5], [10, 1]], 1/44789760],
[[[1, 5], [2, 6], [3, 5], [12, 1]], 271/4299816960],
[[[1, 5], [2, 6], [3, 6], [4, 1]], 443/9674588160],
[[[1, 5], [2, 6], [3, 6], [6, 1]], 7457/7739670528],
[[[1, 5], [2, 6], [4, 1], [5, 3]], 311/10240000],
[[[1, 5], [2, 6], [4, 1], [6, 6]], 1693/6449725440],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 1/129024],
[[[1, 5], [2, 6], [4, 1], [8, 3]], 35/294912],
[[[1, 5], [2, 6], [4, 1], [10, 3]], 3671/30720000],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 59/903168],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 2071/429981696],
[[[1, 5], [2, 6], [4, 2], [11, 1]], 577/8847360],
[[[1, 5], [2, 6], [4, 2], [22, 1]], 2653/19464192],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 8059/221184000],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 51877/4299816960],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 2411/7077888],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 37879/442368000],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 50627/4586471424],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 493/15482880],
[[[1, 5], [2, 6], [4, 4], [9, 1]], 91/5308416],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 12637/247726080],
[[[1, 5], [2, 6], [4, 4], [18, 1]], 107/7077888],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 23/2211840],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 431/63700992],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 2633/35389440],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 79/5898240],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 1/98304],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 389/63700992],
[[[1, 5], [2, 6], [5, 1], [6, 5]], 1/699840],
[[[1, 5], [2, 6], [5, 1], [11, 1]], 1/51200],
[[[1, 5], [2, 6], [5, 1], [22, 1]], 1/56320],
[[[1, 5], [2, 6], [5, 2], [6, 3]], 1/1036800],
[[[1, 5], [2, 6], [5, 2], [7, 1]], 71/4032000],
[[[1, 5], [2, 6], [5, 2], [9, 1]], 121/27648000],
[[[1, 5], [2, 6], [5, 3], [6, 1]], 11/1152000],
[[[1, 5], [2, 6], [6, 1], [10, 3]], 257/4608000],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 25/677376],
[[[1, 5], [2, 6], [6, 1], [18, 2]], 131/8957952],
[[[1, 5], [2, 6], [6, 2], [11, 1]], 23/1216512],
[[[1, 5], [2, 6], [6, 2], [22, 1]], 835/21897216],
[[[1, 5], [2, 6], [6, 3], [8, 2]], 11/2985984],
[[[1, 5], [2, 6], [6, 3], [10, 2]], 2269/119439360],
[[[1, 5], [2, 6], [6, 4], [14, 1]], 21071/2508226560],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 9605/322486272],
[[[1, 5], [2, 6], [6, 5], [8, 1]], 569/429981696],
[[[1, 5], [2, 6], [6, 5], [10, 1]], 469/238878720],
[[[1, 5], [2, 6], [6, 5], [12, 1]], 683/859963392],
[[[1, 5], [2, 6], [7, 1], [8, 2]], 23/1032192],
[[[1, 5], [2, 6], [8, 1], [11, 1]], 19/811008],
[[[1, 5], [2, 6], [8, 1], [22, 1]], 233/6082560],
[[[1, 5], [2, 6], [8, 2], [14, 1]], 103/2580480],
[[[1, 5], [2, 6], [10, 1], [11, 1]], 13/1013760],
[[[1, 5], [2, 6], [10, 1], [22, 1]], 103/2027520],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 563/6451200],
[[[1, 5], [2, 6], [10, 2], [18, 1]], 5/331776],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 1469/212336640],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 64045/1934917632],
[[[1, 5], [2, 8], [3, 1], [11, 1]], 7/6488064],
[[[1, 5], [2, 8], [3, 1], [22, 1]], 487/65691648],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 2123/424673280],
[[[1, 5], [2, 8], [3, 2], [5, 2]], 649/1990656000],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 79547/537477120],
[[[1, 5], [2, 8], [3, 2], [8, 2]], 1/5308416],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 101/13824000],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 361/424673280],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 4393399/45148078080],
[[[1, 5], [2, 8], [3, 3], [7, 1]], 8903/20065812480],
[[[1, 5], [2, 8], [3, 3], [9, 1]], 2659/2149908480],
[[[1, 5], [2, 8], [3, 3], [14, 1]], 11/8709120],
[[[1, 5], [2, 8], [3, 4], [4, 2]], 173/716636160],
[[[1, 5], [2, 8], [3, 4], [5, 1]], 89/1592524800],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 359/35831808],
[[[1, 5], [2, 8], [3, 4], [8, 1]], 383/8599633920],
[[[1, 5], [2, 8], [3, 4], [12, 1]], 1/44789760],
[[[1, 5], [2, 8], [3, 5], [4, 1]], 229/4299816960],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 277/806215680],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 266633/21499084800],
[[[1, 5], [2, 8], [4, 1], [11, 1]], 29/8847360],
[[[1, 5], [2, 8], [4, 1], [22, 1]], 94031/2919628800],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 3187/442368000],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 97601/2149908480],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 93923/637009920],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 51193/221184000],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 76685/1146617856],
[[[1, 5], [2, 8], [4, 3], [7, 1]], 937/123863040],
[[[1, 5], [2, 8], [4, 3], [9, 1]], 241/53084160],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 50093/464486400],
[[[1, 5], [2, 8], [4, 3], [18, 1]], 727/47775744],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 49673/3185049600],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 10111/191102976],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 131083/1274019840],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 6491/116121600],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 4003/238878720],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 7231/318504960],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 1229/223948800],
[[[1, 5], [2, 8], [5, 1], [8, 2]], 1/1474560],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 31453/414720000],
[[[1, 5], [2, 8], [5, 2], [6, 2]], 1/3686400],
[[[1, 5], [2, 8], [5, 2], [8, 1]], 109/110592000],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 107/6635520],
[[[1, 5], [2, 8], [6, 1], [11, 1]], 7/4055040],
[[[1, 5], [2, 8], [6, 1], [22, 1]], 26453/1313832960],
[[[1, 5], [2, 8], [6, 2], [8, 2]], 139/19906560],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 45593/497664000],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 148657/3344302080],
[[[1, 5], [2, 8], [6, 3], [18, 1]], 11159/214990848],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 502289/60197437440],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 1117847/50164531200],
[[[1, 5], [2, 8], [6, 4], [12, 1]], 3919/1074954240],
[[[1, 5], [2, 8], [7, 1], [9, 1]], 19/55738368],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 30091/696729600],
[[[1, 5], [2, 8], [8, 2], [10, 1]], 11/1209600],
[[[1, 5], [2, 8], [14, 1], [18, 1]], 883/139345920],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 27431/5945425920],
[[[1, 5], [2, 10], [3, 1], [5, 2]], 23/2654208000],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 137178053/3250661621760],
[[[1, 5], [2, 10], [3, 1], [8, 2]], 31/743178240],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 3611/418037760],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 40321/40131624960],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 3417181/72236924928],
[[[1, 5], [2, 10], [3, 2], [7, 1]], 1/79626240],
[[[1, 5], [2, 10], [3, 2], [9, 1]], 179/5733089280],
[[[1, 5], [2, 10], [3, 2], [14, 1]], 703/836075520],
[[[1, 5], [2, 10], [3, 2], [18, 1]], 31/2508226560],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 1363/11890851840],
[[[1, 5], [2, 10], [3, 3], [5, 1]], 37/28665446400],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 238577/48157949952],
[[[1, 5], [2, 10], [3, 3], [8, 1]], 1/22932357120],
[[[1, 5], [2, 10], [3, 3], [10, 1]], 11/130636800],
[[[1, 5], [2, 10], [3, 3], [12, 1]], 1/1911029760],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 19/7644119040],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 1475/24078974976],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 103/1769472000],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 112764697/3611846246400],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 30757/5350883328],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 3883997/61931520000],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 65902937/963158999040],
[[[1, 5], [2, 10], [4, 2], [7, 1]], 13/47185920],
[[[1, 5], [2, 10], [4, 2], [9, 1]], 29/212336640],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 217031/5202247680],
[[[1, 5], [2, 10], [4, 2], [18, 1]], 163/55050240],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 7817/3185049600],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 9356933/150493593600],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 1301701/35672555520],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 18974887/334430208000],
[[[1, 5], [2, 10], [4, 3], [12, 1]], 1093/637009920],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 3947341/160526499840],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 163231/50164531200],
[[[1, 5], [2, 10], [5, 1], [7, 1]], 23/1486356480],
[[[1, 5], [2, 10], [5, 1], [9, 1]], 1/398131200],
[[[1, 5], [2, 10], [5, 1], [14, 1]], 59/46448640],
[[[1, 5], [2, 10], [5, 1], [18, 1]], 31/696729600],
[[[1, 5], [2, 10], [5, 2], [6, 1]], 1/110592000],
[[[1, 5], [2, 10], [6, 1], [8, 2]], 1487/1337720832],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 1920983/41803776000],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 9409/313528320],
[[[1, 5], [2, 10], [6, 2], [18, 1]], 2533511/180592312320],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 5015453/515978035200],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 2860177/75246796800],
[[[1, 5], [2, 10], [6, 3], [12, 1]], 7367/4299816960],
[[[1, 5], [2, 10], [7, 1], [8, 1]], 1/30965760],
[[[1, 5], [2, 10], [8, 1], [9, 1]], 1/318504960],
[[[1, 5], [2, 10], [8, 1], [14, 1]], 47749/8360755200],
[[[1, 5], [2, 10], [8, 1], [18, 1]], 4411/50164531200],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 4586591/234101145600],
[[[1, 5], [2, 10], [10, 1], [18, 1]], 353/261273600],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 315713/401316249600],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 720992017/71514555678720],
[[[1, 5], [2, 12], [3, 1], [7, 1]], 1/8918138880],
[[[1, 5], [2, 12], [3, 1], [9, 1]], 1/3822059520],
[[[1, 5], [2, 12], [3, 1], [14, 1]], 13607/35115171840],
[[[1, 5], [2, 12], [3, 1], [18, 1]], 12359/2483144294400],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 129323/1961990553600],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 29894897/13243436236800],
[[[1, 5], [2, 12], [3, 2], [8, 1]], 47/20065812480],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 617/8957952000],
[[[1, 5], [2, 12], [3, 3], [4, 1]], 707/458647142400],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 2004053/79460617420800],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 12166422773/794606174208000],
[[[1, 5], [2, 12], [4, 1], [7, 1]], 1/594542592],
[[[1, 5], [2, 12], [4, 1], [9, 1]], 1/2123366400],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 8232103/2341011456000],
[[[1, 5], [2, 12], [4, 1], [18, 1]], 1655653/11036196864000],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 2087353/14714929152000],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 12223129/601974374400],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 3125503/1070176665600],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 627829/55738368000],
[[[1, 5], [2, 12], [4, 2], [12, 1]], 4751/68976230400],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 48266153/4815794995200],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 23413/62705664000],
[[[1, 5], [2, 12], [5, 1], [8, 1]], 47/9289728000],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 2326201/6688604160000],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 100411/28092137472],
[[[1, 5], [2, 12], [6, 1], [18, 1]], 5725121/9932577177600],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 12214417/6621718118400],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 565007/47775744000],
[[[1, 5], [2, 12], [6, 2], [12, 1]], 844187/6621718118400],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 309847/367873228800],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 4800539/105947489894400],
[[[1, 5], [2, 14], [3, 1], [5, 1]], 67/1379524608000],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 62292191/119190926131200],
[[[1, 5], [2, 14], [3, 1], [8, 1]], 4823/3783838924800],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 7831/206928691200],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 5713/3310859059200],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 6991931/423789959577600],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 31159/7357464576000],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 466515053/264868724736000],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 5260567/70631659929600],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 137982697/220723937280000],
[[[1, 5], [2, 14], [4, 1], [12, 1]], 53/58859716608],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 5163839/4237899595776],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 1783/197074944000],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 1806017/26486872473600],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 68406959/88289574912000],
[[[1, 5], [2, 14], [6, 1], [12, 1]], 333937/211894979788800],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 77681/72236924928000],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 297771653/50060188975104000],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 56777507/1112448643891200],
[[[1, 5], [3, 1], [4, 4], [11, 1]], 1/405504],
[[[1, 5], [3, 1], [7, 1], [9, 2]], 1/13608],
[[[1, 5], [3, 1], [7, 2], [9, 1]], 1/10584],
[[[1, 5], [3, 2], [4, 2], [9, 2]], 5/746496],
[[[1, 5], [3, 2], [5, 1], [7, 2]], 1/105840],
[[[1, 5], [3, 2], [5, 1], [9, 2]], 1/38880],
[[[1, 5], [3, 2], [6, 2], [7, 2]], 1/84672],
[[[1, 5], [3, 2], [7, 1], [11, 1]], 1/33264],
[[[1, 5], [3, 2], [7, 2], [12, 1]], 1/14112],
[[[1, 5], [3, 2], [9, 1], [11, 1]], 1/28512],
[[[1, 5], [3, 3], [4, 2], [11, 1]], 49/21897216],
[[[1, 5], [3, 3], [4, 4], [9, 1]], 1/995328],
[[[1, 5], [3, 3], [5, 1], [11, 1]], 1/1140480],
[[[1, 5], [3, 3], [5, 2], [7, 1]], 1/1209600],
[[[1, 5], [3, 3], [6, 2], [11, 1]], 1/228096],
[[[1, 5], [3, 3], [11, 1], [12, 1]], 1/38016],
[[[1, 5], [3, 4], [4, 2], [5, 2]], 1/24883200],
[[[1, 5], [3, 4], [7, 1], [9, 1]], 5/326592],
[[[1, 5], [3, 5], [4, 2], [7, 1]], 1/10450944],
[[[1, 5], [3, 5], [4, 2], [9, 1]], 61/53747712],
[[[1, 5], [3, 5], [5, 1], [7, 1]], 1/1306368],
[[[1, 5], [3, 5], [5, 1], [9, 1]], 1/2799360],
[[[1, 5], [3, 5], [6, 2], [7, 1]], 1/3919104],
[[[1, 5], [3, 5], [6, 2], [9, 1]], 1/559872],
[[[1, 5], [3, 5], [7, 1], [12, 1]], 1/653184],
[[[1, 5], [3, 5], [9, 1], [12, 1]], 1/93312],
[[[1, 5], [3, 6], [4, 2], [5, 1]], 1/22394880],
[[[1, 5], [3, 6], [4, 2], [6, 2]], 1/53747712],
[[[1, 5], [3, 6], [4, 2], [12, 1]], 1/8957952],
[[[1, 5], [3, 7], [4, 1], [8, 1]], 1/161243136],
[[[1, 5], [4, 2], [5, 1], [7, 2]], 1/94080],
[[[1, 5], [4, 2], [7, 1], [11, 1]], 1/29568],
[[[1, 5], [4, 2], [9, 1], [11, 1]], 1/304128],
[[[1, 5], [4, 3], [8, 1], [11, 1]], 1/135168],
[[[1, 5], [5, 1], [7, 1], [11, 1]], 1/3080],
[[[1, 5], [5, 1], [9, 1], [11, 1]], 1/15840],
[[[1, 5], [5, 2], [7, 1], [9, 1]], 1/16800],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 1/2592000],
[[[1, 6], [2, 1], [3, 3], [7, 2]], 611/15240960],
[[[1, 6], [2, 1], [3, 3], [9, 2]], 5/124416],
[[[1, 6], [2, 1], [3, 4], [4, 5]], 1/286654464],
[[[1, 6], [2, 1], [3, 4], [11, 1]], 397/32845824],
[[[1, 6], [2, 1], [3, 5], [4, 4]], 1/71663616],
[[[1, 6], [2, 1], [3, 5], [5, 2]], 1/2332800],
[[[1, 6], [2, 1], [3, 6], [4, 3]], 31/967458816],
[[[1, 6], [2, 1], [3, 6], [6, 3]], 1/1679616],
[[[1, 6], [2, 1], [3, 6], [7, 1]], 41/35271936],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 445/80621568],
[[[1, 6], [2, 1], [3, 7], [4, 2]], 263/3869835264],
[[[1, 6], [2, 1], [3, 7], [5, 1]], 1/13436928],
[[[1, 6], [2, 1], [3, 7], [6, 2]], 1/40310784],
[[[1, 6], [2, 1], [3, 7], [8, 1]], 1/322486272],
[[[1, 6], [2, 1], [3, 7], [12, 1]], 1/6718464],
[[[1, 6], [2, 1], [3, 8], [4, 1]], 1/80621568],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 1/15116544],
[[[1, 6], [2, 1], [4, 3], [5, 3]], 1/1536000],
[[[1, 6], [2, 1], [4, 3], [7, 2]], 1/75264],
[[[1, 6], [2, 1], [4, 4], [11, 1]], 7/3244032],
[[[1, 6], [2, 1], [4, 5], [5, 2]], 1/14745600],
[[[1, 6], [2, 1], [5, 2], [11, 1]], 1/4400],
[[[1, 6], [2, 1], [5, 3], [7, 1]], 1/5600],
[[[1, 6], [2, 1], [5, 3], [9, 1]], 1/36000],
[[[1, 6], [2, 1], [7, 2], [9, 1]], 11/211680],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 1/3538944],
[[[1, 6], [2, 3], [3, 1], [6, 7]], 1/322486272],
[[[1, 6], [2, 3], [3, 2], [4, 6]], 1/2654208],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 19/432000],
[[[1, 6], [2, 3], [3, 2], [6, 6]], 47/644972544],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 11/84672],
[[[1, 6], [2, 3], [3, 2], [9, 2]], 881/14929920],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 43/127401984],
[[[1, 6], [2, 3], [3, 3], [6, 5]], 545/107495424],
[[[1, 6], [2, 3], [3, 3], [11, 1]], 5147/145981440],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 3937/2866544640],
[[[1, 6], [2, 3], [3, 4], [5, 2]], 719/74649600],
[[[1, 6], [2, 3], [3, 4], [6, 4]], 10999/322486272],
[[[1, 6], [2, 3], [3, 4], [8, 2]], 1/1327104],
[[[1, 6], [2, 3], [3, 5], [4, 3]], 401/214990848],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 5371/161243136],
[[[1, 6], [2, 3], [3, 5], [7, 1]], 109/15676416],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 2489/119439360],
[[[1, 6], [2, 3], [3, 6], [4, 2]], 17/17915904],
[[[1, 6], [2, 3], [3, 6], [5, 1]], 223/403107840],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 93365/5804752896],
[[[1, 6], [2, 3], [3, 6], [8, 1]], 17/60466176],
[[[1, 6], [2, 3], [3, 6], [10, 1]], 1/3149280],
[[[1, 6], [2, 3], [3, 6], [12, 1]], 5/17915904],
[[[1, 6], [2, 3], [3, 7], [4, 1]], 1345/3869835264],
[[[1, 6], [2, 3], [3, 7], [6, 1]], 1279/725594112],
[[[1, 6], [2, 3], [4, 1], [6, 7]], 1/38698352640],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 9/256000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 19/150528],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 7/98304],
[[[1, 6], [2, 3], [4, 3], [11, 1]], 131/2211840],
[[[1, 6], [2, 3], [4, 3], [22, 1]], 409/48660480],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 41/7372800],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 125/2359296],
[[[1, 6], [2, 3], [4, 4], [10, 2]], 1/14745600],
[[[1, 6], [2, 3], [4, 5], [6, 3]], 5/127401984],
[[[1, 6], [2, 3], [4, 5], [7, 1]], 73/12386304],
[[[1, 6], [2, 3], [4, 5], [9, 1]], 1/5308416],
[[[1, 6], [2, 3], [4, 5], [14, 1]], 1/4128768],
[[[1, 6], [2, 3], [4, 5], [18, 1]], 5/1769472],
[[[1, 6], [2, 3], [4, 6], [5, 1]], 1/4423680],
[[[1, 6], [2, 3], [4, 6], [6, 2]], 1/21233664],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 41/14155776],
[[[1, 6], [2, 3], [4, 6], [10, 1]], 1/5898240],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 1/5376],
[[[1, 6], [2, 3], [5, 1], [10, 3]], 1/32000],
[[[1, 6], [2, 3], [5, 2], [8, 2]], 1/51200],
[[[1, 6], [2, 3], [5, 2], [10, 2]], 1/8000],
[[[1, 6], [2, 3], [5, 3], [6, 2]], 1/96000],
[[[1, 6], [2, 3], [5, 3], [8, 1]], 1/12000],
[[[1, 6], [2, 3], [5, 3], [10, 1]], 7/20000],
[[[1, 6], [2, 3], [6, 2], [18, 2]], 91/44789760],
[[[1, 6], [2, 3], [6, 3], [22, 1]], 751/1313832960],
[[[1, 6], [2, 3], [6, 4], [10, 2]], 1/298598400],
[[[1, 6], [2, 3], [6, 5], [14, 1]], 1/125411328],
[[[1, 6], [2, 3], [6, 5], [18, 1]], 811/3224862720],
[[[1, 6], [2, 3], [7, 1], [11, 1]], 1/19712],
[[[1, 6], [2, 3], [7, 2], [8, 1]], 5/37632],
[[[1, 6], [2, 3], [8, 1], [10, 3]], 1/768000],
[[[1, 6], [2, 3], [8, 2], [10, 2]], 1/614400],
[[[1, 6], [2, 3], [9, 1], [11, 1]], 3/225280],
[[[1, 6], [2, 3], [18, 1], [22, 1]], 31/18247680],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 389/63700992],
[[[1, 6], [2, 5], [3, 1], [5, 3]], 257/4608000],
[[[1, 6], [2, 5], [3, 1], [6, 6]], 7457/7739670528],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 25/677376],
[[[1, 6], [2, 5], [3, 1], [9, 2]], 131/8957952],
[[[1, 6], [2, 5], [3, 1], [10, 3]], 11/1152000],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 431/63700992],
[[[1, 6], [2, 5], [3, 2], [6, 5]], 26347/1433272320],
[[[1, 6], [2, 5], [3, 2], [11, 1]], 835/21897216],
[[[1, 6], [2, 5], [3, 2], [22, 1]], 23/1216512],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 50627/4586471424],
[[[1, 6], [2, 5], [3, 3], [5, 2]], 2269/119439360],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 1007317/8599633920],
[[[1, 6], [2, 5], [3, 3], [8, 2]], 11/2985984],
[[[1, 6], [2, 5], [3, 3], [10, 2]], 1/1036800],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 51877/4299816960],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 984853/5159780352],
[[[1, 6], [2, 5], [3, 4], [7, 1]], 21071/2508226560],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 9605/322486272],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 2071/429981696],
[[[1, 6], [2, 5], [3, 5], [5, 1]], 469/238878720],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 33673/537477120],
[[[1, 6], [2, 5], [3, 5], [8, 1]], 569/429981696],
[[[1, 6], [2, 5], [3, 5], [10, 1]], 1/699840],
[[[1, 6], [2, 5], [3, 5], [12, 1]], 683/859963392],
[[[1, 6], [2, 5], [3, 6], [4, 1]], 1693/6449725440],
[[[1, 6], [2, 5], [3, 6], [6, 1]], 80081/23219011584],
[[[1, 6], [2, 5], [4, 1], [5, 3]], 3671/30720000],
[[[1, 6], [2, 5], [4, 1], [6, 6]], 443/9674588160],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 59/903168],
[[[1, 6], [2, 5], [4, 1], [8, 3]], 35/294912],
[[[1, 6], [2, 5], [4, 1], [10, 3]], 311/10240000],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 1/129024],
[[[1, 6], [2, 5], [4, 2], [6, 5]], 203/1433272320],
[[[1, 6], [2, 5], [4, 2], [11, 1]], 2653/19464192],
[[[1, 6], [2, 5], [4, 2], [22, 1]], 577/8847360],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 37879/442368000],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 9197/4299816960],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 2411/7077888],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 8059/221184000],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 203/42467328],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 12637/247726080],
[[[1, 6], [2, 5], [4, 4], [9, 1]], 107/7077888],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 493/15482880],
[[[1, 6], [2, 5], [4, 4], [18, 1]], 91/5308416],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 79/5898240],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 11/3538944],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 2633/35389440],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 23/2211840],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 1/98304],
[[[1, 6], [2, 5], [4, 6], [6, 1]], 49/21233664],
[[[1, 6], [2, 5], [5, 1], [6, 5]], 1/44789760],
[[[1, 6], [2, 5], [5, 1], [11, 1]], 103/2027520],
[[[1, 6], [2, 5], [5, 1], [22, 1]], 13/1013760],
[[[1, 6], [2, 5], [5, 2], [6, 3]], 1/518400],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 563/6451200],
[[[1, 6], [2, 5], [5, 2], [9, 1]], 5/331776],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 1/38400],
[[[1, 6], [2, 5], [6, 1], [7, 2]], 1/56448],
[[[1, 6], [2, 5], [6, 1], [10, 3]], 17/1536000],
[[[1, 6], [2, 5], [6, 1], [14, 2]], 1/1354752],
[[[1, 6], [2, 5], [6, 1], [18, 2]], 169/22394880],
[[[1, 6], [2, 5], [6, 2], [11, 1]], 37/1824768],
[[[1, 6], [2, 5], [6, 2], [22, 1]], 49/3421440],
[[[1, 6], [2, 5], [6, 3], [8, 2]], 1/1990656],
[[[1, 6], [2, 5], [6, 3], [10, 2]], 5201/1990656000],
[[[1, 6], [2, 5], [6, 4], [14, 1]], 49/22394880],
[[[1, 6], [2, 5], [6, 4], [18, 1]], 2279/214990848],
[[[1, 6], [2, 5], [6, 5], [8, 1]], 19/107495424],
[[[1, 6], [2, 5], [6, 5], [10, 1]], 1441/10749542400],
[[[1, 6], [2, 5], [6, 5], [12, 1]], 271/4299816960],
[[[1, 6], [2, 5], [7, 1], [8, 2]], 103/2580480],
[[[1, 6], [2, 5], [8, 1], [11, 1]], 233/6082560],
[[[1, 6], [2, 5], [8, 1], [22, 1]], 19/811008],
[[[1, 6], [2, 5], [8, 2], [14, 1]], 23/1032192],
[[[1, 6], [2, 5], [10, 1], [11, 1]], 1/56320],
[[[1, 6], [2, 5], [10, 1], [22, 1]], 1/51200],
[[[1, 6], [2, 5], [10, 2], [14, 1]], 71/4032000],
[[[1, 6], [2, 5], [10, 2], [18, 1]], 121/27648000],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 5887/212336640],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 51499/3224862720],
[[[1, 6], [2, 7], [3, 1], [11, 1]], 1781/218972160],
[[[1, 6], [2, 7], [3, 1], [22, 1]], 251/18247680],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 2101/79626240],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 8437/995328000],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 27979/214990848],
[[[1, 6], [2, 7], [3, 2], [8, 2]], 5/2654208],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 287/33177600],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 158333/11466178560],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 41167/214990848],
[[[1, 6], [2, 7], [3, 3], [7, 1]], 70507/12541132800],
[[[1, 6], [2, 7], [3, 3], [9, 1]], 517/40310784],
[[[1, 6], [2, 7], [3, 3], [14, 1]], 5/1741824],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 62707/21499084800],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 6719/5374771200],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 2983/53747712],
[[[1, 6], [2, 7], [3, 4], [8, 1]], 6193/8599633920],
[[[1, 6], [2, 7], [3, 4], [10, 1]], 19/44789760],
[[[1, 6], [2, 7], [3, 4], [12, 1]], 407/1074954240],
[[[1, 6], [2, 7], [3, 5], [4, 1]], 667/859963392],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 653/143327232],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 59261/16124313600],
[[[1, 6], [2, 7], [4, 1], [11, 1]], 8291/486604800],
[[[1, 6], [2, 7], [4, 1], [22, 1]], 307301/8758886400],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 6779/110592000],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 27937/1343692800],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 188051/637009920],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 39019/221184000],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 853393/17199267840],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 2809/53084160],
[[[1, 6], [2, 7], [4, 3], [9, 1]], 179/10616832],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 107831/928972800],
[[[1, 6], [2, 7], [4, 3], [18, 1]], 1963/79626240],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 7687/132710400],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 35599/637009920],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 19193/84934656],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 44497/530841600],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 2207/53084160],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 2029/53084160],
[[[1, 6], [2, 7], [5, 1], [6, 4]], 31/8957952],
[[[1, 6], [2, 7], [5, 1], [8, 2]], 1/184320],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 293/3072000],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 7/1843200],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 77/6912000],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 217/3686400],
[[[1, 6], [2, 7], [6, 1], [11, 1]], 35/3649536],
[[[1, 6], [2, 7], [6, 1], [22, 1]], 4061/218972160],
[[[1, 6], [2, 7], [6, 2], [8, 2]], 31/5308416],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 41359/995328000],
[[[1, 6], [2, 7], [6, 3], [7, 1]], 1/580608],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 1843/87091200],
[[[1, 6], [2, 7], [6, 3], [18, 1]], 3643/100776960],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 34901/8599633920],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 43703/5374771200],
[[[1, 6], [2, 7], [6, 4], [12, 1]], 1913/1074954240],
[[[1, 6], [2, 7], [7, 1], [9, 1]], 457/174182400],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 3643/110592000],
[[[1, 6], [2, 7], [8, 2], [10, 1]], 9/819200],
[[[1, 6], [2, 7], [14, 1], [18, 1]], 59/9676800],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 30409/1274019840],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 547/1327104000],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 464249/10032906240],
[[[1, 6], [2, 9], [3, 1], [8, 2]], 17/53084160],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 320903/20901888000],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 166193/20065812480],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 355879831/3611846246400],
[[[1, 6], [2, 9], [3, 2], [7, 1]], 43/79626240],
[[[1, 6], [2, 9], [3, 2], [9, 1]], 4673/5733089280],
[[[1, 6], [2, 9], [3, 2], [14, 1]], 1031/278691840],
[[[1, 6], [2, 9], [3, 2], [18, 1]], 19/358318080],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 2083/1132462080],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 2509/14332723200],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 276823/10032906240],
[[[1, 6], [2, 9], [3, 3], [8, 1]], 1007/7644119040],
[[[1, 6], [2, 9], [3, 3], [10, 1]], 1153/2388787200],
[[[1, 6], [2, 9], [3, 3], [12, 1]], 1/29859840],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 14107/68797071360],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 28619/20639121408],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 6919/3538944000],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 281223091/10835538739200],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 21841/990904320],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 3132361/39813120000],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 3448201/42998169600],
[[[1, 6], [2, 9], [4, 2], [7, 1]], 233/58982400],
[[[1, 6], [2, 9], [4, 2], [9, 1]], 1747/1274019840],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 182411/2477260800],
[[[1, 6], [2, 9], [4, 2], [18, 1]], 503/66355200],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 438491/22295347200],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 1544851/14332723200],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 64404083/535088332800],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 4343081/37158912000],
[[[1, 6], [2, 9], [4, 3], [12, 1]], 38401/4459069440],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 2871403/44590694400],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 13361/2388787200],
[[[1, 6], [2, 9], [5, 1], [7, 1]], 733/1486356480],
[[[1, 6], [2, 9], [5, 1], [9, 1]], 19/199065600],
[[[1, 6], [2, 9], [5, 1], [14, 1]], 59/15482880],
[[[1, 6], [2, 9], [5, 1], [18, 1]], 19/99532800],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 31/55296000],
[[[1, 6], [2, 9], [6, 1], [8, 2]], 947/371589120],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 754333/16721510400],
[[[1, 6], [2, 9], [6, 2], [7, 1]], 1/2064384],
[[[1, 6], [2, 9], [6, 2], [9, 1]], 1/119439360],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 197791/6270566400],
[[[1, 6], [2, 9], [6, 2], [18, 1]], 17818373/902961561600],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 2546249/240789749760],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 46293983/1504935936000],
[[[1, 6], [2, 9], [6, 3], [12, 1]], 204551/100329062400],
[[[1, 6], [2, 9], [7, 1], [8, 1]], 29/37158912],
[[[1, 6], [2, 9], [7, 1], [10, 1]], 1/5160960],
[[[1, 6], [2, 9], [8, 1], [9, 1]], 13/318504960],
[[[1, 6], [2, 9], [8, 1], [14, 1]], 6277/557383680],
[[[1, 6], [2, 9], [8, 1], [18, 1]], 761/3344302080],
[[[1, 6], [2, 9], [9, 1], [10, 1]], 1/33177600],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 4071611/167215104000],
[[[1, 6], [2, 9], [10, 1], [18, 1]], 45323/20901888000],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 107789/20065812480],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 61456033/2708884684800],
[[[1, 6], [2, 11], [3, 1], [7, 1]], 11/891813888],
[[[1, 6], [2, 11], [3, 1], [9, 1]], 71/5733089280],
[[[1, 6], [2, 11], [3, 1], [14, 1]], 40913/25082265600],
[[[1, 6], [2, 11], [3, 1], [18, 1]], 151/4702924800],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 35233/44590694400],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 91/19110297600],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 16954709/1605264998400],
[[[1, 6], [2, 11], [3, 2], [8, 1]], 697/26754416640],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 5633/12541132800],
[[[1, 6], [2, 11], [3, 2], [12, 1]], 1/1274019840],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 129827/3210529996800],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 286787/802632499200],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 63646442093/2383818522624000],
[[[1, 6], [2, 11], [4, 1], [7, 1]], 37/594542592],
[[[1, 6], [2, 11], [4, 1], [9, 1]], 101/6370099200],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 465179/47775744000],
[[[1, 6], [2, 11], [4, 1], [18, 1]], 18233053/33108590592000],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 321569/222953472000],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 19564019/401316249600],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 1220887/89181388800],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 7229161/222953472000],
[[[1, 6], [2, 11], [4, 2], [12, 1]], 54239/133772083200],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 166644853/4815794995200],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 17159/12541132800],
[[[1, 6], [2, 11], [5, 1], [8, 1]], 449/7431782400],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 550729/334430208000],
[[[1, 6], [2, 11], [6, 1], [7, 1]], 1/61931520],
[[[1, 6], [2, 11], [6, 1], [9, 1]], 1/477757440],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 1055881/140460687360],
[[[1, 6], [2, 11], [6, 1], [18, 1]], 52567/33443020800],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 640777/150493593600],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 56619863/3009871872000],
[[[1, 6], [2, 11], [6, 2], [12, 1]], 193273/601974374400],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 210937/83607552000],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 24742997/58859716608000],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 3113/2675441664000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 2840454431/1271369878732800],
[[[1, 6], [2, 13], [3, 1], [8, 1]], 342103/26486872473600],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 634519/2759049216000],
[[[1, 6], [2, 13], [3, 1], [12, 1]], 1/101921587200],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 1244351/52973744947200],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 85200233/529737449472000],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 2029843/44144787456000],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 80846677/14189395968000],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 7647293/16817061888000],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 272213803/110361968640000],
[[[1, 6], [2, 13], [4, 1], [12, 1]], 82979/13243436236800],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 263339011/48157949952000],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 15929/250822656000],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 8159843/26486872473600],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 149786981/66217181184000],
[[[1, 6], [2, 13], [6, 1], [12, 1]], 1973779/264868724736000],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 414307/33108590592000],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 17887021/397303087104000],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 169109683/595954630656000],
[[[1, 7], [2, 2], [3, 2], [4, 6]], 7/21233664],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 1/16000],
[[[1, 7], [2, 2], [3, 2], [6, 6]], 1/214990848],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 139/1270080],
[[[1, 7], [2, 2], [3, 2], [9, 2]], 161/4976640],
[[[1, 7], [2, 2], [3, 3], [4, 5]], 29/71663616],
[[[1, 7], [2, 2], [3, 3], [6, 5]], 1/53747712],
[[[1, 7], [2, 2], [3, 3], [11, 1]], 15143/437944320],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1307/2866544640],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 4939/298598400],
[[[1, 7], [2, 2], [3, 4], [6, 4]], 1771/322486272],
[[[1, 7], [2, 2], [3, 4], [8, 2]], 1/3981312],
[[[1, 7], [2, 2], [3, 5], [4, 3]], 3743/3224862720],
[[[1, 7], [2, 2], [3, 5], [6, 3]], 1597/322486272],
[[[1, 7], [2, 2], [3, 5], [7, 1]], 1567/125411328],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 2987/119439360],
[[[1, 7], [2, 2], [3, 6], [4, 2]], 11/13436928],
[[[1, 7], [2, 2], [3, 6], [5, 1]], 53/26873856],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 36713/5804752896],
[[[1, 7], [2, 2], [3, 6], [8, 1]], 5/13436928],
[[[1, 7], [2, 2], [3, 6], [10, 1]], 1/12597120],
[[[1, 7], [2, 2], [3, 6], [12, 1]], 7/5971968],
[[[1, 7], [2, 2], [3, 7], [4, 1]], 413/859963392],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 6391/2902376448],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/51200],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 23/451584],
[[[1, 7], [2, 2], [4, 2], [8, 3]], 1/98304],
[[[1, 7], [2, 2], [4, 3], [11, 1]], 8321/437944320],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 31/14745600],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 7/2359296],
[[[1, 7], [2, 2], [4, 5], [7, 1]], 29/30965760],
[[[1, 7], [2, 2], [4, 6], [5, 1]], 1/17694720],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 5/14155776],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 449/2822400],
[[[1, 7], [2, 2], [5, 2], [8, 2]], 1/204800],
[[[1, 7], [2, 2], [5, 3], [6, 2]], 1/288000],
[[[1, 7], [2, 2], [5, 3], [8, 1]], 13/256000],
[[[1, 7], [2, 2], [5, 3], [10, 1]], 27/160000],
[[[1, 7], [2, 2], [6, 2], [18, 2]], 1/44789760],
[[[1, 7], [2, 2], [6, 3], [22, 1]], 1/1313832960],
[[[1, 7], [2, 2], [6, 5], [18, 1]], 1/3224862720],
[[[1, 7], [2, 2], [7, 1], [11, 1]], 17/887040],
[[[1, 7], [2, 2], [7, 2], [8, 1]], 11/188160],
[[[1, 7], [2, 2], [9, 1], [11, 1]], 23/6082560],
[[[1, 7], [2, 2], [18, 1], [22, 1]], 1/18247680],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 299/63700992],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 1657/13824000],
[[[1, 7], [2, 4], [3, 1], [6, 6]], 911/12899450880],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 115/1354752],
[[[1, 7], [2, 4], [3, 1], [9, 2]], 547/44789760],
[[[1, 7], [2, 4], [3, 1], [10, 3]], 1/1152000],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 71/7962624],
[[[1, 7], [2, 4], [3, 2], [6, 5]], 10849/4299816960],
[[[1, 7], [2, 4], [3, 2], [11, 1]], 5567/109486080],
[[[1, 7], [2, 4], [3, 2], [22, 1]], 1/405504],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 254747/22932357120],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 40589/746496000],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 246439/8599633920],
[[[1, 7], [2, 4], [3, 3], [8, 2]], 17/2985984],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 33691/2149908480],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 3202051/25798901760],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 65587/2508226560],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 39719/806215680],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 325/26873856],
[[[1, 7], [2, 4], [3, 5], [5, 1]], 4661/716636160],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 547319/6449725440],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 1957/806215680],
[[[1, 7], [2, 4], [3, 5], [10, 1]], 13/5598720],
[[[1, 7], [2, 4], [3, 5], [12, 1]], 2009/859963392],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 973/322486272],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 1301707/116095057920],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1219/6144000],
[[[1, 7], [2, 4], [4, 1], [6, 6]], 19/6449725440],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 251/2257920],
[[[1, 7], [2, 4], [4, 1], [8, 3]], 3/65536],
[[[1, 7], [2, 4], [4, 1], [10, 3]], 43/30720000],
[[[1, 7], [2, 4], [4, 2], [6, 5]], 1/89579520],
[[[1, 7], [2, 4], [4, 2], [11, 1]], 11699/97320960],
[[[1, 7], [2, 4], [4, 2], [22, 1]], 217/19464192],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 8699/110592000],
[[[1, 7], [2, 4], [4, 3], [6, 4]], 1/44789760],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 5041/35389440],
[[[1, 7], [2, 4], [4, 3], [10, 2]], 1129/442368000],
[[[1, 7], [2, 4], [4, 4], [6, 3]], 31/382205952],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 319/9175040],
[[[1, 7], [2, 4], [4, 4], [9, 1]], 1339/318504960],
[[[1, 7], [2, 4], [4, 4], [14, 1]], 17/3870720],
[[[1, 7], [2, 4], [4, 4], [18, 1]], 31/5308416],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 157/17694720],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 1/1327104],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 24991/637009920],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 23/5898240],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 7/1179648],
[[[1, 7], [2, 4], [4, 6], [6, 1]], 1/2359296],
[[[1, 7], [2, 4], [5, 1], [11, 1]], 53/921600],
[[[1, 7], [2, 4], [5, 1], [22, 1]], 1/1013760],
[[[1, 7], [2, 4], [5, 2], [6, 3]], 1/1036800],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 5477/32256000],
[[[1, 7], [2, 4], [5, 2], [9, 1]], 7/324000],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 17/576000],
[[[1, 7], [2, 4], [6, 1], [7, 2]], 5/169344],
[[[1, 7], [2, 4], [6, 1], [10, 3]], 1/4608000],
[[[1, 7], [2, 4], [6, 1], [18, 2]], 47/44789760],
[[[1, 7], [2, 4], [6, 2], [11, 1]], 37/9123840],
[[[1, 7], [2, 4], [6, 2], [22, 1]], 137/109486080],
[[[1, 7], [2, 4], [6, 3], [10, 2]], 47/746496000],
[[[1, 7], [2, 4], [6, 4], [14, 1]], 391/2508226560],
[[[1, 7], [2, 4], [6, 4], [18, 1]], 77/89579520],
[[[1, 7], [2, 4], [6, 5], [8, 1]], 1/429981696],
[[[1, 7], [2, 4], [6, 5], [10, 1]], 31/10749542400],
[[[1, 7], [2, 4], [6, 5], [12, 1]], 1/4299816960],
[[[1, 7], [2, 4], [7, 1], [8, 2]], 71/2580480],
[[[1, 7], [2, 4], [8, 1], [11, 1]], 679/27371520],
[[[1, 7], [2, 4], [8, 1], [22, 1]], 47/12165120],
[[[1, 7], [2, 4], [8, 2], [14, 1]], 1/344064],
[[[1, 7], [2, 4], [10, 1], [11, 1]], 17/2534400],
[[[1, 7], [2, 4], [10, 1], [22, 1]], 7/3379200],
[[[1, 7], [2, 4], [10, 2], [14, 1]], 1/1536000],
[[[1, 7], [2, 4], [10, 2], [18, 1]], 1/5184000],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 2029/53084160],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 653/143327232],
[[[1, 7], [2, 6], [3, 1], [11, 1]], 4061/218972160],
[[[1, 7], [2, 6], [3, 1], [22, 1]], 35/3649536],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 35599/637009920],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 41359/995328000],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 2983/53747712],
[[[1, 7], [2, 6], [3, 2], [8, 2]], 31/5308416],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 7/1843200],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 853393/17199267840],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 41167/214990848],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 1843/87091200],
[[[1, 7], [2, 6], [3, 3], [9, 1]], 3643/100776960],
[[[1, 7], [2, 6], [3, 3], [14, 1]], 1/580608],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 27937/1343692800],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 43703/5374771200],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 27979/214990848],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 34901/8599633920],
[[[1, 7], [2, 6], [3, 4], [10, 1]], 31/8957952],
[[[1, 7], [2, 6], [3, 4], [12, 1]], 1913/1074954240],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 59261/16124313600],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 51499/3224862720],
[[[1, 7], [2, 6], [4, 1], [6, 5]], 667/859963392],
[[[1, 7], [2, 6], [4, 1], [11, 1]], 307301/8758886400],
[[[1, 7], [2, 6], [4, 1], [22, 1]], 8291/486604800],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 39019/221184000],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 62707/21499084800],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 188051/637009920],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 6779/110592000],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 158333/11466178560],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 107831/928972800],
[[[1, 7], [2, 6], [4, 3], [9, 1]], 1963/79626240],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 2809/53084160],
[[[1, 7], [2, 6], [4, 3], [18, 1]], 179/10616832],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 44497/530841600],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 2101/79626240],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 19193/84934656],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 7687/132710400],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 2207/53084160],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 5887/212336640],
[[[1, 7], [2, 6], [5, 1], [6, 4]], 19/44789760],
[[[1, 7], [2, 6], [5, 1], [8, 2]], 9/819200],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 217/3686400],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 287/33177600],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 3643/110592000],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 293/3072000],
[[[1, 7], [2, 6], [6, 1], [11, 1]], 251/18247680],
[[[1, 7], [2, 6], [6, 1], [22, 1]], 1781/218972160],
[[[1, 7], [2, 6], [6, 2], [8, 2]], 5/2654208],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 8437/995328000],
[[[1, 7], [2, 6], [6, 3], [7, 1]], 5/1741824],
[[[1, 7], [2, 6], [6, 3], [14, 1]], 70507/12541132800],
[[[1, 7], [2, 6], [6, 3], [18, 1]], 517/40310784],
[[[1, 7], [2, 6], [6, 4], [8, 1]], 6193/8599633920],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 6719/5374771200],
[[[1, 7], [2, 6], [6, 4], [12, 1]], 407/1074954240],
[[[1, 7], [2, 6], [7, 1], [9, 1]], 59/9676800],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 77/6912000],
[[[1, 7], [2, 6], [8, 2], [10, 1]], 1/184320],
[[[1, 7], [2, 6], [14, 1], [18, 1]], 457/174182400],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 243563/3822059520],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 49121/7962624000],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 2503111/85996339200],
[[[1, 7], [2, 8], [3, 1], [8, 2]], 79/53084160],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 373/27648000],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 38357/955514880],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 4916441/42998169600],
[[[1, 7], [2, 8], [3, 2], [7, 1]], 5693/1045094400],
[[[1, 7], [2, 8], [3, 2], [9, 1]], 179219/28665446400],
[[[1, 7], [2, 8], [3, 2], [14, 1]], 67/10321920],
[[[1, 7], [2, 8], [3, 2], [18, 1]], 11/119439360],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 6099047/458647142400],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 143087/47775744000],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 4363361/57330892800],
[[[1, 7], [2, 8], [3, 3], [8, 1]], 2717/1719926784],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 463/265420800],
[[[1, 7], [2, 8], [3, 3], [12, 1]], 739/1911029760],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 228677/85996339200],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 1318739/128994508800],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 38039/2211840000],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 6799759/601974374400],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 347/7962624],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 29515229/557383680000],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 28442321/601974374400],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 13513/530841600],
[[[1, 7], [2, 8], [4, 2], [9, 1]], 11213/2123366400],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 204053/3185049600],
[[[1, 7], [2, 8], [4, 2], [18, 1]], 25519/2786918400],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 9539/132710400],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 90011/955514880],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 16408397/76441190400],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 42109/331776000],
[[[1, 7], [2, 8], [4, 3], [12, 1]], 1037/53084160],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 187093/2123366400],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 32033/7166361600],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 176003/37158912000],
[[[1, 7], [2, 8], [5, 1], [9, 1]], 1501/1990656000],
[[[1, 7], [2, 8], [5, 1], [14, 1]], 401/77414400],
[[[1, 7], [2, 8], [5, 1], [18, 1]], 11/33177600],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 1733/331776000],
[[[1, 7], [2, 8], [6, 1], [8, 2]], 151/53084160],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 24251/995328000],
[[[1, 7], [2, 8], [6, 2], [7, 1]], 25/6193152],
[[[1, 7], [2, 8], [6, 2], [9, 1]], 7/119439360],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 76891/4180377600],
[[[1, 7], [2, 8], [6, 2], [18, 1]], 2032937/128994508800],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 17453/2866544640],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 10490083/752467968000],
[[[1, 7], [2, 8], [6, 3], [12, 1]], 9319/7166361600],
[[[1, 7], [2, 8], [7, 1], [8, 1]], 691/132710400],
[[[1, 7], [2, 8], [7, 1], [10, 1]], 41/15482880],
[[[1, 7], [2, 8], [8, 1], [9, 1]], 7/39813120],
[[[1, 7], [2, 8], [8, 1], [14, 1]], 10517/928972800],
[[[1, 7], [2, 8], [8, 1], [18, 1]], 7/23887872],
[[[1, 7], [2, 8], [9, 1], [10, 1]], 7/33177600],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 2640497/167215104000],
[[[1, 7], [2, 8], [10, 1], [18, 1]], 19483/10450944000],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 6662393/321052999680],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 53721427/1805923123200],
[[[1, 7], [2, 10], [3, 1], [7, 1]], 257/891813888],
[[[1, 7], [2, 10], [3, 1], [9, 1]], 71/382205952],
[[[1, 7], [2, 10], [3, 1], [14, 1]], 6053/1672151040],
[[[1, 7], [2, 10], [3, 1], [18, 1]], 53/501645312],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 69919/13377208320],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 829/3822059520],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 130477409/4815794995200],
[[[1, 7], [2, 10], [3, 2], [8, 1]], 451/1911029760],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 223/154828800],
[[[1, 7], [2, 10], [3, 2], [12, 1]], 77/3822059520],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 92581/152882380800],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 448481/160526499840],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 1897347883/72236924928000],
[[[1, 7], [2, 10], [4, 1], [7, 1]], 4003/4954521600],
[[[1, 7], [2, 10], [4, 1], [9, 1]], 341/2123366400],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 1662943/111476736000],
[[[1, 7], [2, 10], [4, 1], [18, 1]], 1101803/1003290624000],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 1789163/222953472000],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 8740139/133772083200],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 6597079/178362777600],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 4982753/95551488000],
[[[1, 7], [2, 10], [4, 2], [12, 1]], 5341/3822059520],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 52884941/802632499200],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 1589/597196800],
[[[1, 7], [2, 10], [5, 1], [8, 1]], 121/265420800],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 15773/3483648000],
[[[1, 7], [2, 10], [6, 1], [7, 1]], 13/37158912],
[[[1, 7], [2, 10], [6, 1], [9, 1]], 13/477757440],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 925703/100329062400],
[[[1, 7], [2, 10], [6, 1], [18, 1]], 762427/300987187200],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 3302989/601974374400],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 53670389/3009871872000],
[[[1, 7], [2, 10], [6, 2], [12, 1]], 278143/601974374400],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 704077/167215104000],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 11676169/5350883328000],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 37/2378170368],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 265473121/47087773286400],
[[[1, 7], [2, 12], [3, 1], [8, 1]], 23809/321052999680],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 48221/62705664000],
[[[1, 7], [2, 12], [3, 1], [12, 1]], 37/101921587200],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 50311/267544166400],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 455132141/529737449472000],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 127681/445906944000],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 1453210817/132434362368000],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 97589221/58859716608000],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 1266927911/220723937280000],
[[[1, 7], [2, 12], [4, 1], [12, 1]], 6911/267544166400],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 682104877/48157949952000],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 25033/100329062400],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 3857719/4815794995200],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 4883927/1203948748800],
[[[1, 7], [2, 12], [6, 1], [12, 1]], 5594383/264868724736000],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 926713/11036196864000],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 781597/3783838924800],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 4596467/4729798656000],
[[[1, 7], [3, 1], [4, 2], [5, 3]], 1/384000],
[[[1, 7], [3, 1], [4, 2], [7, 2]], 1/112896],
[[[1, 7], [3, 1], [4, 2], [9, 2]], 1/1492992],
[[[1, 7], [3, 1], [4, 4], [5, 2]], 1/3686400],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 19/211680],
[[[1, 7], [3, 1], [5, 1], [9, 2]], 1/77760],
[[[1, 7], [3, 1], [5, 3], [6, 2]], 1/1152000],
[[[1, 7], [3, 1], [5, 3], [12, 1]], 1/192000],
[[[1, 7], [3, 1], [6, 2], [7, 2]], 1/1693440],
[[[1, 7], [3, 1], [7, 1], [11, 1]], 1/66528],
[[[1, 7], [3, 1], [7, 2], [12, 1]], 1/282240],
[[[1, 7], [3, 1], [9, 1], [11, 1]], 1/456192],
[[[1, 7], [3, 2], [4, 2], [11, 1]], 17/3649536],
[[[1, 7], [3, 2], [4, 4], [7, 1]], 1/1548288],
[[[1, 7], [3, 2], [4, 4], [9, 1]], 5/7962624],
[[[1, 7], [3, 2], [5, 1], [11, 1]], 7/190080],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 11/201600],
[[[1, 7], [3, 2], [5, 2], [9, 1]], 1/28800],
[[[1, 7], [3, 2], [6, 2], [11, 1]], 1/3649536],
[[[1, 7], [3, 2], [11, 1], [12, 1]], 1/608256],
[[[1, 7], [3, 3], [4, 2], [5, 2]], 25/7962624],
[[[1, 7], [3, 3], [4, 4], [5, 1]], 1/3317760],
[[[1, 7], [3, 3], [5, 2], [6, 2]], 1/691200],
[[[1, 7], [3, 3], [5, 2], [12, 1]], 1/115200],
[[[1, 7], [3, 3], [7, 1], [9, 1]], 25/979776],
[[[1, 7], [3, 4], [4, 2], [7, 1]], 109/139345920],
[[[1, 7], [3, 4], [4, 2], [9, 1]], 287/107495424],
[[[1, 7], [3, 4], [4, 3], [8, 1]], 1/23887872],
[[[1, 7], [3, 4], [5, 1], [7, 1]], 713/104509440],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 37/1866240],
[[[1, 7], [3, 4], [6, 2], [7, 1]], 13/7838208],
[[[1, 7], [3, 4], [6, 2], [9, 1]], 1/995328],
[[[1, 7], [3, 4], [7, 1], [12, 1]], 13/1306368],
[[[1, 7], [3, 4], [9, 1], [12, 1]], 1/165888],
[[[1, 7], [3, 5], [4, 2], [5, 1]], 5/11943936],
[[[1, 7], [3, 5], [4, 2], [6, 2]], 17/429981696],
[[[1, 7], [3, 5], [4, 2], [12, 1]], 17/71663616],
[[[1, 7], [3, 5], [5, 1], [6, 2]], 13/22394880],
[[[1, 7], [3, 5], [5, 1], [12, 1]], 13/3732480],
[[[1, 7], [3, 6], [4, 1], [8, 1]], 1/20155392],
[[[1, 7], [4, 1], [5, 3], [8, 1]], 1/128000],
[[[1, 7], [4, 2], [5, 1], [11, 1]], 1/112640],
[[[1, 7], [4, 2], [5, 2], [7, 1]], 1/153600],
[[[1, 7], [4, 2], [5, 2], [9, 1]], 1/2764800],
[[[1, 7], [4, 3], [5, 2], [8, 1]], 1/1228800],
[[[1, 7], [4, 4], [5, 1], [7, 1]], 1/10321920],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 73/1728000],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 47/1270080],
[[[1, 8], [2, 1], [3, 2], [9, 2]], 761/104509440],
[[[1, 8], [2, 1], [3, 3], [4, 5]], 7/35831808],
[[[1, 8], [2, 1], [3, 3], [11, 1]], 121003/9196830720],
[[[1, 8], [2, 1], [3, 4], [4, 4]], 71/573308928],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 2203/149299200],
[[[1, 8], [2, 1], [3, 5], [4, 3]], 1981/6449725440],
[[[1, 8], [2, 1], [3, 5], [6, 3]], 83/107495424],
[[[1, 8], [2, 1], [3, 5], [7, 1]], 1327/188116992],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 85601/7524679680],
[[[1, 8], [2, 1], [3, 6], [4, 2]], 79/302330880],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 13/5971968],
[[[1, 8], [2, 1], [3, 6], [6, 2]], 47/214990848],
[[[1, 8], [2, 1], [3, 6], [8, 1]], 5/20155392],
[[[1, 8], [2, 1], [3, 6], [12, 1]], 47/35831808],
[[[1, 8], [2, 1], [3, 7], [4, 1]], 355/2579890176],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 611/967458816],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 17/3072000],
[[[1, 8], [2, 1], [4, 2], [7, 2]], 11/2257920],
[[[1, 8], [2, 1], [4, 3], [11, 1]], 1013/437944320],
[[[1, 8], [2, 1], [4, 4], [5, 2]], 1/3686400],
[[[1, 8], [2, 1], [4, 4], [8, 2]], 1/2359296],
[[[1, 8], [2, 1], [4, 5], [7, 1]], 1/7741440],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 2629/50803200],
[[[1, 8], [2, 1], [5, 3], [8, 1]], 3/256000],
[[[1, 8], [2, 1], [5, 3], [10, 1]], 1/32000],
[[[1, 8], [2, 1], [7, 1], [11, 1]], 37/15966720],
[[[1, 8], [2, 1], [7, 2], [8, 1]], 1/188160],
[[[1, 8], [2, 1], [9, 1], [11, 1]], 43/127733760],
[[[1, 8], [2, 3], [3, 1], [4, 6]], 29/53084160],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1861/13824000],
[[[1, 8], [2, 3], [3, 1], [6, 6]], 1/12899450880],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 17/241920],
[[[1, 8], [2, 3], [3, 1], [9, 2]], 5/995328],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 155/31850496],
[[[1, 8], [2, 3], [3, 2], [6, 5]], 1327/8599633920],
[[[1, 8], [2, 3], [3, 2], [11, 1]], 269/7299072],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 588361/80263249920],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 824779/10450944000],
[[[1, 8], [2, 3], [3, 3], [6, 4]], 190829/60197437440],
[[[1, 8], [2, 3], [3, 3], [8, 2]], 1/331776],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 12109/1504935936],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 671263/25798901760],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 94369/2508226560],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 809/16796160],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 157/15925248],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 135181/10749542400],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 2501509/54177693696],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 20417/6449725440],
[[[1, 8], [2, 3], [3, 5], [10, 1]], 179/167961600],
[[[1, 8], [2, 3], [3, 5], [12, 1]], 5201/1433272320],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 19751/3869835264],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 1677757/116095057920],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 331/2048000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 53/752640],
[[[1, 8], [2, 3], [4, 1], [8, 3]], 1/196608],
[[[1, 8], [2, 3], [4, 1], [10, 3]], 1/30720000],
[[[1, 8], [2, 3], [4, 2], [6, 5]], 1/2866544640],
[[[1, 8], [2, 3], [4, 2], [11, 1]], 157/3604480],
[[[1, 8], [2, 3], [4, 2], [22, 1]], 3/3604480],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 961109/27869184000],
[[[1, 8], [2, 3], [4, 3], [6, 4]], 1/716636160],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 2777/106168320],
[[[1, 8], [2, 3], [4, 4], [6, 3]], 7/2548039680],
[[[1, 8], [2, 3], [4, 4], [7, 1]], 14531/1114767360],
[[[1, 8], [2, 3], [4, 4], [9, 1]], 697/1114767360],
[[[1, 8], [2, 3], [4, 4], [18, 1]], 7/35389440],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 71/29491200],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 479/79626240],
[[[1, 8], [2, 3], [4, 5], [10, 1]], 1/5898240],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 1/1179648],
[[[1, 8], [2, 3], [5, 1], [11, 1]], 2863/91238400],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 6529/41472000],
[[[1, 8], [2, 3], [5, 2], [9, 1]], 2209/145152000],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 17/1152000],
[[[1, 8], [2, 3], [6, 1], [7, 2]], 11/846720],
[[[1, 8], [2, 3], [6, 1], [18, 2]], 1/29859840],
[[[1, 8], [2, 3], [6, 2], [11, 1]], 37/164229120],
[[[1, 8], [2, 3], [6, 2], [22, 1]], 1/72990720],
[[[1, 8], [2, 3], [6, 3], [10, 2]], 1/11943936000],
[[[1, 8], [2, 3], [6, 4], [14, 1]], 1/5016453120],
[[[1, 8], [2, 3], [6, 4], [18, 1]], 13/2149908480],
[[[1, 8], [2, 3], [7, 1], [8, 2]], 13/1720320],
[[[1, 8], [2, 3], [8, 1], [11, 1]], 751/109486080],
[[[1, 8], [2, 3], [8, 1], [22, 1]], 1/6082560],
[[[1, 8], [2, 3], [10, 1], [11, 1]], 37/45619200],
[[[1, 8], [2, 3], [10, 1], [22, 1]], 1/20275200],
[[[1, 8], [2, 3], [10, 2], [14, 1]], 1/64512000],
[[[1, 8], [2, 3], [10, 2], [18, 1]], 1/165888000],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 7231/318504960],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 277/806215680],
[[[1, 8], [2, 5], [3, 1], [11, 1]], 26453/1313832960],
[[[1, 8], [2, 5], [3, 1], [22, 1]], 7/4055040],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 10111/191102976],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 45593/497664000],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 359/35831808],
[[[1, 8], [2, 5], [3, 2], [8, 2]], 139/19906560],
[[[1, 8], [2, 5], [3, 2], [10, 2]], 1/3686400],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 76685/1146617856],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 4393399/45148078080],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 148657/3344302080],
[[[1, 8], [2, 5], [3, 3], [9, 1]], 11159/214990848],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 97601/2149908480],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 1117847/50164531200],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 79547/537477120],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 502289/60197437440],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 1229/223948800],
[[[1, 8], [2, 5], [3, 4], [12, 1]], 3919/1074954240],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 266633/21499084800],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 64045/1934917632],
[[[1, 8], [2, 5], [4, 1], [6, 5]], 229/4299816960],
[[[1, 8], [2, 5], [4, 1], [11, 1]], 94031/2919628800],
[[[1, 8], [2, 5], [4, 1], [22, 1]], 29/8847360],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 51193/221184000],
[[[1, 8], [2, 5], [4, 2], [6, 4]], 173/716636160],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 93923/637009920],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 3187/442368000],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 361/424673280],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 50093/464486400],
[[[1, 8], [2, 5], [4, 3], [9, 1]], 727/47775744],
[[[1, 8], [2, 5], [4, 3], [14, 1]], 937/123863040],
[[[1, 8], [2, 5], [4, 3], [18, 1]], 241/53084160],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 6491/116121600],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 2123/424673280],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 131083/1274019840],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 49673/3185049600],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 4003/238878720],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 1469/212336640],
[[[1, 8], [2, 5], [5, 1], [8, 2]], 11/1209600],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 107/6635520],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 101/13824000],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 30091/696729600],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 31453/414720000],
[[[1, 8], [2, 5], [6, 1], [11, 1]], 487/65691648],
[[[1, 8], [2, 5], [6, 1], [22, 1]], 7/6488064],
[[[1, 8], [2, 5], [6, 2], [8, 2]], 1/5308416],
[[[1, 8], [2, 5], [6, 2], [10, 2]], 649/1990656000],
[[[1, 8], [2, 5], [6, 3], [7, 1]], 11/8709120],
[[[1, 8], [2, 5], [6, 3], [14, 1]], 8903/20065812480],
[[[1, 8], [2, 5], [6, 3], [18, 1]], 2659/2149908480],
[[[1, 8], [2, 5], [6, 4], [8, 1]], 383/8599633920],
[[[1, 8], [2, 5], [6, 4], [10, 1]], 89/1592524800],
[[[1, 8], [2, 5], [6, 4], [12, 1]], 1/44789760],
[[[1, 8], [2, 5], [7, 1], [9, 1]], 883/139345920],
[[[1, 8], [2, 5], [8, 1], [10, 2]], 109/110592000],
[[[1, 8], [2, 5], [8, 2], [10, 1]], 1/1474560],
[[[1, 8], [2, 5], [14, 1], [18, 1]], 19/55738368],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 187093/2123366400],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 24251/995328000],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 1318739/128994508800],
[[[1, 8], [2, 7], [3, 1], [8, 2]], 151/53084160],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 1733/331776000],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 90011/955514880],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 4363361/57330892800],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 76891/4180377600],
[[[1, 8], [2, 7], [3, 2], [9, 1]], 2032937/128994508800],
[[[1, 8], [2, 7], [3, 2], [14, 1]], 25/6193152],
[[[1, 8], [2, 7], [3, 2], [18, 1]], 7/119439360],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 28442321/601974374400],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 10490083/752467968000],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 4916441/42998169600],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 17453/2866544640],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 32033/7166361600],
[[[1, 8], [2, 7], [3, 3], [12, 1]], 9319/7166361600],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 6799759/601974374400],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 2503111/85996339200],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 29515229/557383680000],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 228677/85996339200],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 347/7962624],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 38039/2211840000],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 6099047/458647142400],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 204053/3185049600],
[[[1, 8], [2, 7], [4, 2], [9, 1]], 25519/2786918400],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 13513/530841600],
[[[1, 8], [2, 7], [4, 2], [18, 1]], 11213/2123366400],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 42109/331776000],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 38357/955514880],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 16408397/76441190400],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 9539/132710400],
[[[1, 8], [2, 7], [4, 3], [12, 1]], 1037/53084160],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 243563/3822059520],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 463/265420800],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 2640497/167215104000],
[[[1, 8], [2, 7], [5, 1], [9, 1]], 19483/10450944000],
[[[1, 8], [2, 7], [5, 1], [14, 1]], 41/15482880],
[[[1, 8], [2, 7], [5, 1], [18, 1]], 7/33177600],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 373/27648000],
[[[1, 8], [2, 7], [6, 1], [8, 2]], 79/53084160],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 49121/7962624000],
[[[1, 8], [2, 7], [6, 2], [7, 1]], 67/10321920],
[[[1, 8], [2, 7], [6, 2], [9, 1]], 11/119439360],
[[[1, 8], [2, 7], [6, 2], [14, 1]], 5693/1045094400],
[[[1, 8], [2, 7], [6, 2], [18, 1]], 179219/28665446400],
[[[1, 8], [2, 7], [6, 3], [8, 1]], 2717/1719926784],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 143087/47775744000],
[[[1, 8], [2, 7], [6, 3], [12, 1]], 739/1911029760],
[[[1, 8], [2, 7], [7, 1], [8, 1]], 10517/928972800],
[[[1, 8], [2, 7], [7, 1], [10, 1]], 401/77414400],
[[[1, 8], [2, 7], [8, 1], [9, 1]], 7/23887872],
[[[1, 8], [2, 7], [8, 1], [14, 1]], 691/132710400],
[[[1, 8], [2, 7], [8, 1], [18, 1]], 7/39813120],
[[[1, 8], [2, 7], [9, 1], [10, 1]], 11/33177600],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 176003/37158912000],
[[[1, 8], [2, 7], [10, 1], [18, 1]], 1501/1990656000],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 78526297/1605264998400],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 86438743/3611846246400],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 2353/1061683200],
[[[1, 8], [2, 9], [3, 1], [9, 1]], 30517/28665446400],
[[[1, 8], [2, 9], [3, 1], [14, 1]], 11513/2786918400],
[[[1, 8], [2, 9], [3, 1], [18, 1]], 119/716636160],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 409757/19110297600],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 27263/10616832000],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 25862167/601974374400],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 607/424673280],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 53/19906560],
[[[1, 8], [2, 9], [3, 2], [12, 1]], 2773/19110297600],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 15211/3397386240],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 145619/12740198400],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 70511467/4815794995200],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 70669/14863564800],
[[[1, 8], [2, 9], [4, 1], [9, 1]], 12439/19110297600],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 807301/66886041600],
[[[1, 8], [2, 9], [4, 1], [18, 1]], 15823/13377208320],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 975251/37158912000],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 15983141/321052999680],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 12747323/214035333120],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 21687193/445906944000],
[[[1, 8], [2, 9], [4, 2], [12, 1]], 37/13271040],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 8342249/114661785600],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 107/33177600],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 3491/1769472000],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 480431/63700992000],
[[[1, 8], [2, 9], [6, 1], [7, 1]], 283/132710400],
[[[1, 8], [2, 9], [6, 1], [9, 1]], 1/8847360],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 2557363/401316249600],
[[[1, 8], [2, 9], [6, 1], [18, 1]], 2791729/1203948748800],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 7009/1791590400],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 2149069/222953472000],
[[[1, 8], [2, 9], [6, 2], [12, 1]], 49373/133772083200],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 13813/3483648000],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 5226451/764411904000],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 1231/7644119040],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 101511091/11557907988480],
[[[1, 8], [2, 11], [3, 1], [8, 1]], 435451/1605264998400],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 731033/501645312000],
[[[1, 8], [2, 11], [3, 1], [12, 1]], 203/50960793600],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 20711/20065812480],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 539993497/192631799808000],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 1602919/1337720832000],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 152825189/12039487488000],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 61323719/16052649984000],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 160503607/20065812480000],
[[[1, 8], [2, 11], [4, 1], [12, 1]], 52951/802632499200],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 355158467/16052649984000],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 143/232243200],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 5962541/4815794995200],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 3965681/891813888000],
[[[1, 8], [2, 11], [6, 1], [12, 1]], 1147577/32105299968000],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 89105749/264868724736000],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 465726649/794606174208000],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 550877219/264868724736000],
[[[1, 9], [2, 2], [3, 1], [4, 6]], 1/13271040],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 373/4608000],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 1543/60963840],
[[[1, 9], [2, 2], [3, 1], [9, 2]], 17/17418240],
[[[1, 9], [2, 2], [3, 2], [4, 5]], 193/477757440],
[[[1, 9], [2, 2], [3, 2], [6, 5]], 1/8599633920],
[[[1, 9], [2, 2], [3, 2], [11, 1]], 827/63866880],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 210389/80263249920],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 2530559/41803776000],
[[[1, 9], [2, 2], [3, 3], [6, 4]], 1861/12039487488],
[[[1, 9], [2, 2], [3, 3], [8, 2]], 1/1990656],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 802643/270888468480],
[[[1, 9], [2, 2], [3, 4], [6, 3]], 48487/36118462464],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 10447/438939648],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 59893/2508226560],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 9263/3344302080],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 44137/3583180800],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 2181257/270888468480],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 143/59719680],
[[[1, 9], [2, 2], [3, 5], [10, 1]], 101/671846400],
[[[1, 9], [2, 2], [3, 5], [12, 1]], 1261/477757440],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 8993/3224862720],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 5544163/812665405440],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 383/6144000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 739/40642560],
[[[1, 9], [2, 2], [4, 2], [11, 1]], 1411/291962880],
[[[1, 9], [2, 2], [4, 2], [22, 1]], 1/32440320],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 120437/13934592000],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 239/106168320],
[[[1, 9], [2, 2], [4, 4], [6, 3]], 1/7644119040],
[[[1, 9], [2, 2], [4, 4], [7, 1]], 2111/1114767360],
[[[1, 9], [2, 2], [4, 4], [9, 1]], 53/1114767360],
[[[1, 9], [2, 2], [4, 4], [18, 1]], 1/106168320],
[[[1, 9], [2, 2], [4, 5], [5, 1]], 67/232243200],
[[[1, 9], [2, 2], [4, 5], [8, 1]], 19/56623104],
[[[1, 9], [2, 2], [5, 1], [11, 1]], 839/106444800],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 36173/508032000],
[[[1, 9], [2, 2], [5, 2], [9, 1]], 2999/580608000],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/384000],
[[[1, 9], [2, 2], [6, 1], [7, 2]], 1/846720],
[[[1, 9], [2, 2], [6, 2], [11, 1]], 1/164229120],
[[[1, 9], [2, 2], [7, 1], [8, 2]], 1/1720320],
[[[1, 9], [2, 2], [8, 1], [11, 1]], 1/1548288],
[[[1, 9], [2, 2], [10, 1], [11, 1]], 1/45619200],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 13319/1911029760],
[[[1, 9], [2, 4], [3, 1], [6, 5]], 37/12899450880],
[[[1, 9], [2, 4], [3, 1], [11, 1]], 15461/1313832960],
[[[1, 9], [2, 4], [3, 1], [22, 1]], 1/12165120],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 936713/40131624960],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 75833/696729600],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 2801/5016453120],
[[[1, 9], [2, 4], [3, 2], [8, 2]], 277/79626240],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 9853777/240789749760],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 884081/45148078080],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 101551/2006581248],
[[[1, 9], [2, 4], [3, 3], [9, 1]], 15361/358318080],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 1249027/30098718720],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 335003/10032906240],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 3674747/45148078080],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 4989251/541776936960],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 4943/1567641600],
[[[1, 9], [2, 4], [3, 4], [12, 1]], 4189/1074954240],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1721/95551488],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 1225537/33861058560],
[[[1, 9], [2, 4], [4, 1], [6, 5]], 1/8599633920],
[[[1, 9], [2, 4], [4, 1], [11, 1]], 27851/2043740160],
[[[1, 9], [2, 4], [4, 1], [22, 1]], 107/389283840],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 460519/3096576000],
[[[1, 9], [2, 4], [4, 2], [6, 4]], 1/119439360],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 92437/2972712960],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 13/73728000],
[[[1, 9], [2, 4], [4, 3], [6, 3]], 139/4586471424],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 16517/371589120],
[[[1, 9], [2, 4], [4, 3], [9, 1]], 11857/3344302080],
[[[1, 9], [2, 4], [4, 3], [14, 1]], 3/9175040],
[[[1, 9], [2, 4], [4, 3], [18, 1]], 119/318504960],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 214019/11147673600],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 121/318504960],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 398029/17836277760],
[[[1, 9], [2, 4], [4, 4], [10, 1]], 977/796262400],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 493/238878720],
[[[1, 9], [2, 4], [4, 5], [6, 1]], 2339/2972712960],
[[[1, 9], [2, 4], [5, 1], [8, 2]], 73/22118400],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 539/331776000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 26233/10450944000],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 28271/995328000],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 175951/5806080000],
[[[1, 9], [2, 4], [6, 1], [11, 1]], 115/65691648],
[[[1, 9], [2, 4], [6, 1], [22, 1]], 1/26542080],
[[[1, 9], [2, 4], [6, 2], [10, 2]], 1/663552000],
[[[1, 9], [2, 4], [6, 3], [7, 1]], 1/8709120],
[[[1, 9], [2, 4], [6, 3], [14, 1]], 5/1337720832],
[[[1, 9], [2, 4], [6, 3], [18, 1]], 17/716636160],
[[[1, 9], [2, 4], [6, 4], [10, 1]], 1/14332723200],
[[[1, 9], [2, 4], [7, 1], [9, 1]], 17/5160960],
[[[1, 9], [2, 4], [8, 1], [10, 2]], 1/55296000],
[[[1, 9], [2, 4], [14, 1], [18, 1]], 1/92897280],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 2871403/44590694400],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 754333/16721510400],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 28619/20639121408],
[[[1, 9], [2, 6], [3, 1], [8, 2]], 947/371589120],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 31/55296000],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 1544851/14332723200],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 276823/10032906240],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 197791/6270566400],
[[[1, 9], [2, 6], [3, 2], [9, 1]], 17818373/902961561600],
[[[1, 9], [2, 6], [3, 2], [14, 1]], 1/2064384],
[[[1, 9], [2, 6], [3, 2], [18, 1]], 1/119439360],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 3448201/42998169600],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 46293983/1504935936000],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 355879831/3611846246400],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 2546249/240789749760],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 13361/2388787200],
[[[1, 9], [2, 6], [3, 3], [12, 1]], 204551/100329062400],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 281223091/10835538739200],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 464249/10032906240],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 3132361/39813120000],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 14107/68797071360],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 21841/990904320],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 6919/3538944000],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 2083/1132462080],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 182411/2477260800],
[[[1, 9], [2, 6], [4, 2], [9, 1]], 503/66355200],
[[[1, 9], [2, 6], [4, 2], [14, 1]], 233/58982400],
[[[1, 9], [2, 6], [4, 2], [18, 1]], 1747/1274019840],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 4343081/37158912000],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 166193/20065812480],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 64404083/535088332800],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 438491/22295347200],
[[[1, 9], [2, 6], [4, 3], [12, 1]], 38401/4459069440],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 30409/1274019840],
[[[1, 9], [2, 6], [5, 1], [6, 3]], 1153/2388787200],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 4071611/167215104000],
[[[1, 9], [2, 6], [5, 1], [9, 1]], 45323/20901888000],
[[[1, 9], [2, 6], [5, 1], [14, 1]], 1/5160960],
[[[1, 9], [2, 6], [5, 1], [18, 1]], 1/33177600],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 320903/20901888000],
[[[1, 9], [2, 6], [6, 1], [8, 2]], 17/53084160],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 547/1327104000],
[[[1, 9], [2, 6], [6, 2], [7, 1]], 1031/278691840],
[[[1, 9], [2, 6], [6, 2], [9, 1]], 19/358318080],
[[[1, 9], [2, 6], [6, 2], [14, 1]], 43/79626240],
[[[1, 9], [2, 6], [6, 2], [18, 1]], 4673/5733089280],
[[[1, 9], [2, 6], [6, 3], [8, 1]], 1007/7644119040],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 2509/14332723200],
[[[1, 9], [2, 6], [6, 3], [12, 1]], 1/29859840],
[[[1, 9], [2, 6], [7, 1], [8, 1]], 6277/557383680],
[[[1, 9], [2, 6], [7, 1], [10, 1]], 59/15482880],
[[[1, 9], [2, 6], [8, 1], [9, 1]], 761/3344302080],
[[[1, 9], [2, 6], [8, 1], [14, 1]], 29/37158912],
[[[1, 9], [2, 6], [8, 1], [18, 1]], 13/318504960],
[[[1, 9], [2, 6], [9, 1], [10, 1]], 19/99532800],
[[[1, 9], [2, 6], [10, 1], [14, 1]], 733/1486356480],
[[[1, 9], [2, 6], [10, 1], [18, 1]], 19/199065600],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 8342249/114661785600],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 145619/12740198400],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 2557363/401316249600],
[[[1, 9], [2, 8], [3, 1], [9, 1]], 2791729/1203948748800],
[[[1, 9], [2, 8], [3, 1], [14, 1]], 283/132710400],
[[[1, 9], [2, 8], [3, 1], [18, 1]], 1/8847360],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 15983141/321052999680],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 2149069/222953472000],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 25862167/601974374400],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 7009/1791590400],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 107/33177600],
[[[1, 9], [2, 8], [3, 2], [12, 1]], 49373/133772083200],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 70511467/4815794995200],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 86438743/3611846246400],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 15211/3397386240],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 807301/66886041600],
[[[1, 9], [2, 8], [4, 1], [9, 1]], 15823/13377208320],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 70669/14863564800],
[[[1, 9], [2, 8], [4, 1], [18, 1]], 12439/19110297600],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 21687193/445906944000],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 409757/19110297600],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 12747323/214035333120],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 975251/37158912000],
[[[1, 9], [2, 8], [4, 2], [12, 1]], 37/13271040],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 78526297/1605264998400],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 53/19906560],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 13813/3483648000],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 480431/63700992000],
[[[1, 9], [2, 8], [6, 1], [7, 1]], 11513/2786918400],
[[[1, 9], [2, 8], [6, 1], [9, 1]], 119/716636160],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 2353/1061683200],
[[[1, 9], [2, 8], [6, 1], [18, 1]], 30517/28665446400],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 607/424673280],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 27263/10616832000],
[[[1, 9], [2, 8], [6, 2], [12, 1]], 2773/19110297600],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 3491/1769472000],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 15594151/1070176665600],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 21347/21233664000],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 518167043/57789539942400],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 907/1274019840],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 92339/55738368000],
[[[1, 9], [2, 10], [3, 1], [12, 1]], 2717/152882380800],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 75563/19110297600],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 47264941/7705271992320],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 401299/111476736000],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 43495759/4815794995200],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 248963/42807066624],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 1305313/191102976000],
[[[1, 9], [2, 10], [4, 1], [12, 1]], 529/4777574400],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 23424803/1070176665600],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 9511/7962624000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 109/91750400],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 23104273/8026324992000],
[[[1, 9], [2, 10], [6, 1], [12, 1]], 74539/2140353331200],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 2365703/2675441664000],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 857596963/794606174208000],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 9771367/3439853568000],
[[[1, 9], [3, 1], [4, 2], [11, 1]], 19/54743040],
[[[1, 9], [3, 1], [4, 4], [7, 1]], 1/8847360],
[[[1, 9], [3, 1], [4, 4], [9, 1]], 1/15925248],
[[[1, 9], [3, 1], [5, 1], [11, 1]], 7/1520640],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 1/35840],
[[[1, 9], [3, 1], [5, 2], [9, 1]], 19/1382400],
[[[1, 9], [3, 1], [6, 2], [11, 1]], 1/1021870080],
[[[1, 9], [3, 1], [11, 1], [12, 1]], 1/170311680],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 77/33177600],
[[[1, 9], [3, 2], [4, 4], [5, 1]], 1/8847360],
[[[1, 9], [3, 2], [5, 2], [6, 2]], 1/3686400],
[[[1, 9], [3, 2], [5, 2], [12, 1]], 1/614400],
[[[1, 9], [3, 2], [7, 1], [9, 1]], 347/78382080],
[[[1, 9], [3, 3], [4, 2], [7, 1]], 2729/1672151040],
[[[1, 9], [3, 3], [4, 2], [9, 1]], 103/89579520],
[[[1, 9], [3, 3], [4, 3], [8, 1]], 1/11943936],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 485921/29262643200],
[[[1, 9], [3, 3], [5, 1], [9, 1]], 1/87480],
[[[1, 9], [3, 3], [6, 2], [7, 1]], 1/5971968],
[[[1, 9], [3, 3], [6, 2], [9, 1]], 47/836075520],
[[[1, 9], [3, 3], [7, 1], [12, 1]], 1/995328],
[[[1, 9], [3, 3], [9, 1], [12, 1]], 47/139345920],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 7993/8360755200],
[[[1, 9], [3, 4], [4, 2], [6, 2]], 1/134369280],
[[[1, 9], [3, 4], [4, 2], [12, 1]], 1/22394880],
[[[1, 9], [3, 4], [5, 1], [6, 2]], 23/89579520],
[[[1, 9], [3, 4], [5, 1], [12, 1]], 23/14929920],
[[[1, 9], [3, 5], [4, 1], [8, 1]], 101/1074954240],
[[[1, 9], [4, 1], [8, 1], [11, 1]], 1/72990720],
[[[1, 9], [4, 2], [7, 1], [9, 1]], 1/23224320],
[[[1, 9], [4, 3], [7, 1], [8, 1]], 1/10321920],
[[[1, 9], [5, 1], [7, 1], [9, 1]], 401/406425600],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 13/552960],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 121/30481920],
[[[1, 10], [2, 1], [3, 1], [9, 2]], 23/313528320],
[[[1, 10], [2, 1], [3, 2], [4, 5]], 41/955514880],
[[[1, 10], [2, 1], [3, 2], [11, 1]], 4577/2299207680],
[[[1, 10], [2, 1], [3, 3], [4, 4]], 49/716636160],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 65849/2985984000],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 24797/38698352640],
[[[1, 10], [2, 1], [3, 4], [6, 3]], 617/10032906240],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 209291/31603654656],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 60623/11287019520],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 12721/33861058560],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 129151/25082265600],
[[[1, 10], [2, 1], [3, 5], [6, 2]], 439/4013162496],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1091/2149908480],
[[[1, 10], [2, 1], [3, 5], [12, 1]], 439/668860416],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1037/2149908480],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 92737/90296156160],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 53/6144000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 11/8128512],
[[[1, 10], [2, 1], [4, 2], [11, 1]], 43/766402560],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 29843/27869184000],
[[[1, 10], [2, 1], [4, 4], [7, 1]], 17/247726080],
[[[1, 10], [2, 1], [4, 5], [5, 1]], 53/1857945600],
[[[1, 10], [2, 1], [4, 5], [8, 1]], 1/56623104],
[[[1, 10], [2, 1], [5, 1], [11, 1]], 157/212889600],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 5759/406425600],
[[[1, 10], [2, 1], [5, 2], [9, 1]], 29/41472000],
[[[1, 10], [2, 1], [8, 1], [11, 1]], 1/63866880],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 13499/13377208320],
[[[1, 10], [2, 3], [3, 1], [11, 1]], 5503/1532805120],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 6347/1254113280],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 1509247/20901888000],
[[[1, 10], [2, 3], [3, 2], [6, 4]], 143/18059231232],
[[[1, 10], [2, 3], [3, 2], [8, 2]], 1/1474560],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 6203599/515978035200],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 94081/90296156160],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 1313071/43893964800],
[[[1, 10], [2, 3], [3, 3], [9, 1]], 37157/1881169920],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 28519/1672151040],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 1563787/56435097600],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 549287/29023764480],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 2943509/541776936960],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 2717/3527193600],
[[[1, 10], [2, 3], [3, 4], [12, 1]], 257/119439360],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 1044919/90296156160],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 1091339/58047528960],
[[[1, 10], [2, 3], [4, 1], [11, 1]], 2351/875888640],
[[[1, 10], [2, 3], [4, 1], [22, 1]], 1/129761280],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 12877/290304000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 7489/2972712960],
[[[1, 10], [2, 3], [4, 2], [10, 2]], 1/294912000],
[[[1, 10], [2, 3], [4, 3], [6, 3]], 1/4586471424],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 127429/16721510400],
[[[1, 10], [2, 3], [4, 3], [9, 1]], 15593/50164531200],
[[[1, 10], [2, 3], [4, 3], [14, 1]], 1/82575360],
[[[1, 10], [2, 3], [4, 3], [18, 1]], 1/63700992],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 132953/33443020800],
[[[1, 10], [2, 3], [4, 4], [6, 2]], 1/424673280],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 29749/10701766656],
[[[1, 10], [2, 3], [4, 4], [10, 1]], 79/2477260800],
[[[1, 10], [2, 3], [4, 4], [12, 1]], 29/743178240],
[[[1, 10], [2, 3], [4, 5], [6, 1]], 211/2972712960],
[[[1, 10], [2, 3], [5, 1], [8, 2]], 1/2150400],
[[[1, 10], [2, 3], [5, 1], [10, 2]], 13/331776000],
[[[1, 10], [2, 3], [5, 2], [6, 2]], 1789/5225472000],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 15919/1741824000],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 34681/5806080000],
[[[1, 10], [2, 3], [6, 1], [11, 1]], 43/287400960],
[[[1, 10], [2, 3], [7, 1], [9, 1]], 263/304819200],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 3947341/160526499840],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 1920983/41803776000],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 1475/24078974976],
[[[1, 10], [2, 5], [3, 1], [8, 2]], 1487/1337720832],
[[[1, 10], [2, 5], [3, 1], [10, 2]], 1/110592000],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 9356933/150493593600],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 238577/48157949952],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 9409/313528320],
[[[1, 10], [2, 5], [3, 2], [9, 1]], 2533511/180592312320],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 65902937/963158999040],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 2860177/75246796800],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 3417181/72236924928],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 5015453/515978035200],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 163231/50164531200],
[[[1, 10], [2, 5], [3, 3], [12, 1]], 7367/4299816960],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 112764697/3611846246400],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 137178053/3250661621760],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 3883997/61931520000],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 19/7644119040],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 30757/5350883328],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 103/1769472000],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 1363/11890851840],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 217031/5202247680],
[[[1, 10], [2, 5], [4, 2], [9, 1]], 163/55050240],
[[[1, 10], [2, 5], [4, 2], [14, 1]], 13/47185920],
[[[1, 10], [2, 5], [4, 2], [18, 1]], 29/212336640],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 18974887/334430208000],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 40321/40131624960],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 1301701/35672555520],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 7817/3185049600],
[[[1, 10], [2, 5], [4, 3], [12, 1]], 1093/637009920],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 27431/5945425920],
[[[1, 10], [2, 5], [5, 1], [6, 3]], 11/130636800],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 4586591/234101145600],
[[[1, 10], [2, 5], [5, 1], [9, 1]], 353/261273600],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 3611/418037760],
[[[1, 10], [2, 5], [6, 1], [8, 2]], 31/743178240],
[[[1, 10], [2, 5], [6, 1], [10, 2]], 23/2654208000],
[[[1, 10], [2, 5], [6, 2], [7, 1]], 703/836075520],
[[[1, 10], [2, 5], [6, 2], [9, 1]], 31/2508226560],
[[[1, 10], [2, 5], [6, 2], [14, 1]], 1/79626240],
[[[1, 10], [2, 5], [6, 2], [18, 1]], 179/5733089280],
[[[1, 10], [2, 5], [6, 3], [8, 1]], 1/22932357120],
[[[1, 10], [2, 5], [6, 3], [10, 1]], 37/28665446400],
[[[1, 10], [2, 5], [6, 3], [12, 1]], 1/1911029760],
[[[1, 10], [2, 5], [7, 1], [8, 1]], 47749/8360755200],
[[[1, 10], [2, 5], [7, 1], [10, 1]], 59/46448640],
[[[1, 10], [2, 5], [8, 1], [9, 1]], 4411/50164531200],
[[[1, 10], [2, 5], [8, 1], [14, 1]], 1/30965760],
[[[1, 10], [2, 5], [8, 1], [18, 1]], 1/318504960],
[[[1, 10], [2, 5], [9, 1], [10, 1]], 31/696729600],
[[[1, 10], [2, 5], [10, 1], [14, 1]], 23/1486356480],
[[[1, 10], [2, 5], [10, 1], [18, 1]], 1/398131200],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 52884941/802632499200],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 448481/160526499840],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 925703/100329062400],
[[[1, 10], [2, 7], [3, 1], [9, 1]], 762427/300987187200],
[[[1, 10], [2, 7], [3, 1], [14, 1]], 13/37158912],
[[[1, 10], [2, 7], [3, 1], [18, 1]], 13/477757440],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 8740139/133772083200],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 53670389/3009871872000],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 130477409/4815794995200],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 3302989/601974374400],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 1589/597196800],
[[[1, 10], [2, 7], [3, 2], [12, 1]], 278143/601974374400],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 1897347883/72236924928000],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 53721427/1805923123200],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 92581/152882380800],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 1662943/111476736000],
[[[1, 10], [2, 7], [4, 1], [9, 1]], 1101803/1003290624000],
[[[1, 10], [2, 7], [4, 1], [14, 1]], 4003/4954521600],
[[[1, 10], [2, 7], [4, 1], [18, 1]], 341/2123366400],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 4982753/95551488000],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 69919/13377208320],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 6597079/178362777600],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 1789163/222953472000],
[[[1, 10], [2, 7], [4, 2], [12, 1]], 5341/3822059520],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 6662393/321052999680],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 223/154828800],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 704077/167215104000],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 15773/3483648000],
[[[1, 10], [2, 7], [6, 1], [7, 1]], 6053/1672151040],
[[[1, 10], [2, 7], [6, 1], [9, 1]], 53/501645312],
[[[1, 10], [2, 7], [6, 1], [14, 1]], 257/891813888],
[[[1, 10], [2, 7], [6, 1], [18, 1]], 71/382205952],
[[[1, 10], [2, 7], [6, 2], [8, 1]], 451/1911029760],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 829/3822059520],
[[[1, 10], [2, 7], [6, 2], [12, 1]], 77/3822059520],
[[[1, 10], [2, 7], [8, 1], [10, 1]], 121/265420800],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 23424803/1070176665600],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 23104273/8026324992000],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 47264941/7705271992320],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 109/91750400],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 9511/7962624000],
[[[1, 10], [2, 9], [3, 1], [12, 1]], 74539/2140353331200],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 43495759/4815794995200],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 518167043/57789539942400],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 1305313/191102976000],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 75563/19110297600],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 248963/42807066624],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 401299/111476736000],
[[[1, 10], [2, 9], [4, 1], [12, 1]], 529/4777574400],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 15594151/1070176665600],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 92339/55738368000],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 907/1274019840],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 21347/21233664000],
[[[1, 10], [2, 9], [6, 1], [12, 1]], 2717/152882380800],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 1404583/802632499200],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 3791107/2675441664000],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 702143/267544166400],
[[[1, 11], [2, 2], [3, 1], [4, 5]], 3623/80263249920],
[[[1, 11], [2, 2], [3, 1], [11, 1]], 823/1532805120],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 8261/16052649984],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 75803/2985984000],
[[[1, 11], [2, 2], [3, 2], [6, 4]], 1/22574039040],
[[[1, 11], [2, 2], [3, 2], [8, 2]], 1/26542080],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 347509861/238381852262400],
[[[1, 11], [2, 2], [3, 3], [6, 3]], 3347/90296156160],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 94513/10534551552],
[[[1, 11], [2, 2], [3, 3], [9, 1]], 599/125411328],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 447893/150493593600],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 221761/18811699200],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 1164041/812665405440],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 76337/60197437440],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 121/1763596800],
[[[1, 11], [2, 2], [3, 4], [12, 1]], 7/13271040],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 152459/45148078080],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 872293/203166351360],
[[[1, 11], [2, 2], [4, 1], [11, 1]], 157/743178240],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 56251/11147673600],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 71/1783627776],
[[[1, 11], [2, 2], [4, 3], [7, 1]], 149977/234101145600],
[[[1, 11], [2, 2], [4, 3], [9, 1]], 26021/3310859059200],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 3619/9555148800],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 1693/10701766656],
[[[1, 11], [2, 2], [4, 4], [10, 1]], 1/1238630400],
[[[1, 11], [2, 2], [4, 4], [12, 1]], 1/743178240],
[[[1, 11], [2, 2], [5, 1], [8, 2]], 1/51609600],
[[[1, 11], [2, 2], [5, 2], [6, 2]], 151/10450944000],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 2797/2322432000],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 5429/11612160000],
[[[1, 11], [2, 2], [6, 1], [11, 1]], 1/287400960],
[[[1, 11], [2, 2], [7, 1], [9, 1]], 79/731566080],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 420223/89181388800],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 2246417/83607552000],
[[[1, 11], [2, 4], [3, 1], [6, 4]], 223/1203948748800],
[[[1, 11], [2, 4], [3, 1], [8, 2]], 293/1337720832],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 10764329/601974374400],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 631951/1805923123200],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 467237/29262643200],
[[[1, 11], [2, 4], [3, 2], [9, 1]], 5200093/902961561600],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 47369383/1605264998400],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 4550219/167215104000],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 119600473/10835538739200],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 71755913/14898865766400],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 674287/752467968000],
[[[1, 11], [2, 4], [3, 3], [12, 1]], 47287/60197437440],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 35179169/1805923123200],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 84231829/4063327027200],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 755453/27869184000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 2063/2675441664],
[[[1, 11], [2, 4], [4, 1], [10, 2]], 1/1179648000],
[[[1, 11], [2, 4], [4, 2], [6, 3]], 199/107017666560],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 132211/11147673600],
[[[1, 11], [2, 4], [4, 2], [9, 1]], 35989/66886041600],
[[[1, 11], [2, 4], [4, 2], [14, 1]], 1/110100480],
[[[1, 11], [2, 4], [4, 2], [18, 1]], 1/212336640],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 2277757/167215104000],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 1/18350080],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 509071/89181388800],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 221/1592524800],
[[[1, 11], [2, 4], [4, 3], [12, 1]], 517/3344302080],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 113917/267544166400],
[[[1, 11], [2, 4], [5, 1], [6, 3]], 1/261273600],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 10036309/1170505728000],
[[[1, 11], [2, 4], [5, 1], [9, 1]], 3217/6967296000],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 49657/20901888000],
[[[1, 11], [2, 4], [6, 1], [8, 2]], 47/11147673600],
[[[1, 11], [2, 4], [6, 2], [7, 1]], 1051/12541132800],
[[[1, 11], [2, 4], [6, 2], [9, 1]], 47/37623398400],
[[[1, 11], [2, 4], [6, 2], [18, 1]], 1/5733089280],
[[[1, 11], [2, 4], [7, 1], [8, 1]], 87377/58525286400],
[[[1, 11], [2, 4], [7, 1], [10, 1]], 691/3483648000],
[[[1, 11], [2, 4], [8, 1], [9, 1]], 3463/206928691200],
[[[1, 11], [2, 4], [9, 1], [10, 1]], 47/10450944000],
[[[1, 11], [2, 4], [10, 1], [14, 1]], 1/7431782400],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 166644853/4815794995200],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 286787/802632499200],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 1055881/140460687360],
[[[1, 11], [2, 6], [3, 1], [9, 1]], 52567/33443020800],
[[[1, 11], [2, 6], [3, 1], [14, 1]], 1/61931520],
[[[1, 11], [2, 6], [3, 1], [18, 1]], 1/477757440],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 19564019/401316249600],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 56619863/3009871872000],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 16954709/1605264998400],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 640777/150493593600],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 17159/12541132800],
[[[1, 11], [2, 6], [3, 2], [12, 1]], 193273/601974374400],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 63646442093/2383818522624000],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 61456033/2708884684800],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 129827/3210529996800],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 465179/47775744000],
[[[1, 11], [2, 6], [4, 1], [9, 1]], 18233053/33108590592000],
[[[1, 11], [2, 6], [4, 1], [14, 1]], 37/594542592],
[[[1, 11], [2, 6], [4, 1], [18, 1]], 101/6370099200],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 7229161/222953472000],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 35233/44590694400],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 1220887/89181388800],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 321569/222953472000],
[[[1, 11], [2, 6], [4, 2], [12, 1]], 54239/133772083200],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 107789/20065812480],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 5633/12541132800],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 210937/83607552000],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 550729/334430208000],
[[[1, 11], [2, 6], [6, 1], [7, 1]], 40913/25082265600],
[[[1, 11], [2, 6], [6, 1], [9, 1]], 151/4702924800],
[[[1, 11], [2, 6], [6, 1], [14, 1]], 11/891813888],
[[[1, 11], [2, 6], [6, 1], [18, 1]], 71/5733089280],
[[[1, 11], [2, 6], [6, 2], [8, 1]], 697/26754416640],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 91/19110297600],
[[[1, 11], [2, 6], [6, 2], [12, 1]], 1/1274019840],
[[[1, 11], [2, 6], [8, 1], [10, 1]], 449/7431782400],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 355158467/16052649984000],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 3965681/891813888000],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 539993497/192631799808000],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 5962541/4815794995200],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 143/232243200],
[[[1, 11], [2, 8], [3, 1], [12, 1]], 1147577/32105299968000],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 152825189/12039487488000],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 101511091/11557907988480],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 160503607/20065812480000],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 20711/20065812480],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 61323719/16052649984000],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 1602919/1337720832000],
[[[1, 11], [2, 8], [4, 1], [12, 1]], 52951/802632499200],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 5226451/764411904000],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 731033/501645312000],
[[[1, 11], [2, 8], [6, 1], [8, 1]], 435451/1605264998400],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 1231/7644119040],
[[[1, 11], [2, 8], [6, 1], [12, 1]], 203/50960793600],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 702143/267544166400],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 3791107/2675441664000],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 1404583/802632499200],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 557/1741824000],
[[[1, 11], [3, 1], [4, 4], [5, 1]], 13/1238630400],
[[[1, 11], [3, 1], [5, 2], [6, 2]], 11/3096576000],
[[[1, 11], [3, 1], [5, 2], [12, 1]], 11/516096000],
[[[1, 11], [3, 1], [7, 1], [9, 1]], 23/487710720],
[[[1, 11], [3, 2], [4, 2], [7, 1]], 151/836075520],
[[[1, 11], [3, 2], [4, 2], [9, 1]], 559/7524679680],
[[[1, 11], [3, 2], [4, 3], [8, 1]], 1/159252480],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 36203/14631321600],
[[[1, 11], [3, 2], [5, 1], [9, 1]], 53/48988800],
[[[1, 11], [3, 2], [6, 2], [7, 1]], 151/35115171840],
[[[1, 11], [3, 2], [6, 2], [9, 1]], 1/5016453120],
[[[1, 11], [3, 2], [7, 1], [12, 1]], 151/5852528640],
[[[1, 11], [3, 2], [9, 1], [12, 1]], 1/836075520],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 439/1433272320],
[[[1, 11], [3, 3], [4, 2], [6, 2]], 23/60197437440],
[[[1, 11], [3, 3], [4, 2], [12, 1]], 23/10032906240],
[[[1, 11], [3, 3], [5, 1], [6, 2]], 143/8360755200],
[[[1, 11], [3, 3], [5, 1], [12, 1]], 143/1393459200],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 121/2821754880],
[[[1, 11], [4, 1], [5, 2], [8, 1]], 151/4644864000],
[[[1, 11], [4, 2], [5, 1], [7, 1]], 641/4877107200],
[[[1, 11], [4, 2], [5, 1], [9, 1]], 1/696729600],
[[[1, 11], [4, 3], [5, 1], [8, 1]], 1/309657600],
[[[1, 12], [2, 1], [3, 1], [4, 5]], 29/11466178560],
[[[1, 12], [2, 1], [3, 1], [11, 1]], 91/2627665920],
[[[1, 12], [2, 1], [3, 2], [4, 4]], 67/10032906240],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 168317/41803776000],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 25626343/238381852262400],
[[[1, 12], [2, 1], [3, 3], [6, 3]], 1/940584960],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 87316303/69528040243200],
[[[1, 12], [2, 1], [3, 3], [9, 1]], 24779/45148078080],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 2029859/14898865766400],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 683129/300987187200],
[[[1, 12], [2, 1], [3, 4], [6, 2]], 391/45148078080],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 14969/180592312320],
[[[1, 12], [2, 1], [3, 4], [12, 1]], 391/7524679680],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 66221/180592312320],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 92179/270888468480],
[[[1, 12], [2, 1], [4, 1], [11, 1]], 13/2724986880],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 737/6967296000],
[[[1, 12], [2, 1], [4, 2], [8, 2]], 1/1274019840],
[[[1, 12], [2, 1], [4, 3], [7, 1]], 7751/234101145600],
[[[1, 12], [2, 1], [4, 3], [9, 1]], 743/3310859059200],
[[[1, 12], [2, 1], [4, 4], [5, 1]], 1/265420800],
[[[1, 12], [2, 1], [4, 4], [8, 1]], 1/1981808640],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 1/20736000],
[[[1, 12], [2, 1], [5, 2], [10, 1]], 23/2322432000],
[[[1, 12], [2, 1], [7, 1], [9, 1]], 5783/965667225600],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 391199/802632499200],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 184159/20901888000],
[[[1, 12], [2, 3], [3, 1], [6, 4]], 67/9932577177600],
[[[1, 12], [2, 3], [3, 1], [8, 2]], 13/743178240],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 14747483/6621718118400],
[[[1, 12], [2, 3], [3, 2], [6, 3]], 355847/39730308710400],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 414097/87787929600],
[[[1, 12], [2, 3], [3, 2], [9, 1]], 265439/200658124800],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 15297583/2522559283200],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 271316821/24831442944000],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 5568839/5108182548480],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 8507173/7449432883200],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 2791427/24831442944000],
[[[1, 12], [2, 3], [3, 3], [12, 1]], 9259/50164531200],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 34009319/5417769369600],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 1845924407/357572778393600],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 1335713/222953472000],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 361/7431782400],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 487643/312134860800],
[[[1, 12], [2, 3], [4, 2], [9, 1]], 79/1816657920],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 2622601/1839366144000],
[[[1, 12], [2, 3], [4, 3], [6, 2]], 1/637009920],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 140017/367873228800],
[[[1, 12], [2, 3], [4, 3], [10, 1]], 221/55738368000],
[[[1, 12], [2, 3], [4, 3], [12, 1]], 11/2090188800],
[[[1, 12], [2, 3], [4, 4], [6, 1]], 14011/1261279641600],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 226763/111476736000],
[[[1, 12], [2, 3], [5, 1], [9, 1]], 28661/344881152000],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 737/2612736000],
[[[1, 12], [2, 3], [6, 1], [8, 2]], 67/367873228800],
[[[1, 12], [2, 3], [6, 2], [7, 1]], 47/12541132800],
[[[1, 12], [2, 3], [6, 2], [9, 1]], 67/1241572147200],
[[[1, 12], [2, 3], [7, 1], [8, 1]], 11233/58525286400],
[[[1, 12], [2, 3], [7, 1], [10, 1]], 47/3483648000],
[[[1, 12], [2, 3], [8, 1], [9, 1]], 79/51732172800],
[[[1, 12], [2, 3], [9, 1], [10, 1]], 67/344881152000],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 48266153/4815794995200],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 2004053/79460617420800],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 100411/28092137472],
[[[1, 12], [2, 5], [3, 1], [9, 1]], 5725121/9932577177600],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 12223129/601974374400],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 565007/47775744000],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 29894897/13243436236800],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 12214417/6621718118400],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 23413/62705664000],
[[[1, 12], [2, 5], [3, 2], [12, 1]], 844187/6621718118400],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 12166422773/794606174208000],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 720992017/71514555678720],
[[[1, 12], [2, 5], [4, 1], [6, 3]], 707/458647142400],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 8232103/2341011456000],
[[[1, 12], [2, 5], [4, 1], [9, 1]], 1655653/11036196864000],
[[[1, 12], [2, 5], [4, 1], [14, 1]], 1/594542592],
[[[1, 12], [2, 5], [4, 1], [18, 1]], 1/2123366400],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 627829/55738368000],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 129323/1961990553600],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 3125503/1070176665600],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 2087353/14714929152000],
[[[1, 12], [2, 5], [4, 2], [12, 1]], 4751/68976230400],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 315713/401316249600],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 617/8957952000],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 309847/367873228800],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 2326201/6688604160000],
[[[1, 12], [2, 5], [6, 1], [7, 1]], 13607/35115171840],
[[[1, 12], [2, 5], [6, 1], [9, 1]], 12359/2483144294400],
[[[1, 12], [2, 5], [6, 1], [14, 1]], 1/8918138880],
[[[1, 12], [2, 5], [6, 1], [18, 1]], 1/3822059520],
[[[1, 12], [2, 5], [6, 2], [8, 1]], 47/20065812480],
[[[1, 12], [2, 5], [8, 1], [10, 1]], 47/9289728000],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 682104877/48157949952000],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 4883927/1203948748800],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 455132141/529737449472000],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 3857719/4815794995200],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 25033/100329062400],
[[[1, 12], [2, 7], [3, 1], [12, 1]], 5594383/264868724736000],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 1453210817/132434362368000],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 265473121/47087773286400],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 1266927911/220723937280000],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 50311/267544166400],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 97589221/58859716608000],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 127681/445906944000],
[[[1, 12], [2, 7], [4, 1], [12, 1]], 6911/267544166400],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 11676169/5350883328000],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 48221/62705664000],
[[[1, 12], [2, 7], [6, 1], [8, 1]], 23809/321052999680],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 37/2378170368],
[[[1, 12], [2, 7], [6, 1], [12, 1]], 37/101921587200],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 9771367/3439853568000],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 857596963/794606174208000],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 2365703/2675441664000],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 4253/160526499840],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 250213/167215104000],
[[[1, 13], [2, 2], [3, 1], [6, 4]], 1/9932577177600],
[[[1, 13], [2, 2], [3, 1], [8, 2]], 1/2229534720],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 369421/2837879193600],
[[[1, 13], [2, 2], [3, 2], [6, 3]], 557/2837879193600],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 1441829/1931334451200],
[[[1, 13], [2, 2], [3, 2], [9, 1]], 397/2477260800],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 25041959/52973744947200],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 76297927/33108590592000],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 1911953/51081825484800],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 439249/3783838924800],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 119681/24831442944000],
[[[1, 13], [2, 2], [3, 3], [12, 1]], 1427/66886041600],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 8417209/8828957491200],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 106117489/178786389196800],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 7361/12386304000],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 169/163499212800],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 15317/187280916480],
[[[1, 13], [2, 2], [4, 2], [9, 1]], 17/13377208320],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 604651/11036196864000],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 12049/1961990553600],
[[[1, 13], [2, 2], [4, 3], [10, 1]], 67/3678732288000],
[[[1, 13], [2, 2], [4, 3], [12, 1]], 67/2207239372800],
[[[1, 13], [2, 2], [4, 4], [6, 1]], 2971/8828957491200],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 2136077/8583708672000],
[[[1, 13], [2, 2], [5, 1], [9, 1]], 3467/459841536000],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 1/93312000],
[[[1, 13], [2, 2], [6, 1], [8, 2]], 1/367873228800],
[[[1, 13], [2, 2], [6, 2], [7, 1]], 1/12541132800],
[[[1, 13], [2, 2], [6, 2], [9, 1]], 1/1241572147200],
[[[1, 13], [2, 2], [7, 1], [8, 1]], 2389/214592716800],
[[[1, 13], [2, 2], [7, 1], [10, 1]], 1/3483648000],
[[[1, 13], [2, 2], [8, 1], [9, 1]], 23/367873228800],
[[[1, 13], [2, 2], [9, 1], [10, 1]], 1/344881152000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 384673/264868724736],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 19561/19865154355200],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 2808341/2809213747200],
[[[1, 13], [2, 4], [3, 1], [9, 1]], 4927949/39730308710400],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 239146891/52973744947200],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 9701387/2207239372800],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 9361951/39730308710400],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 384761/902961561600],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 35569/689762304000],
[[[1, 13], [2, 4], [3, 2], [12, 1]], 188117/6621718118400],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 1567279963/317842469683200],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 1775108329/715145556787200],
[[[1, 13], [2, 4], [4, 1], [6, 3]], 67/1655429529600],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 7274209/10300450406400],
[[[1, 13], [2, 4], [4, 1], [9, 1]], 19423/882895749120],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 10049609/4904976384000],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 2801/1103619686400],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 1077059/3210529996800],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 3151/459841536000],
[[[1, 13], [2, 4], [4, 2], [12, 1]], 1699/275904921600],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 3029321/52973744947200],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 521/98537472000],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 415673/2759049216000],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 334337/8174960640000],
[[[1, 13], [2, 4], [6, 1], [7, 1]], 8149/175575859200],
[[[1, 13], [2, 4], [6, 1], [9, 1]], 977/2483144294400],
[[[1, 13], [2, 4], [6, 2], [8, 1]], 67/662171811840],
[[[1, 13], [2, 4], [8, 1], [10, 1]], 67/306561024000],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 263339011/48157949952000],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 149786981/66217181184000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 85200233/529737449472000],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 8159843/26486872473600],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 15929/250822656000],
[[[1, 13], [2, 6], [3, 1], [12, 1]], 1973779/264868724736000],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 80846677/14189395968000],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 2840454431/1271369878732800],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 272213803/110361968640000],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 1244351/52973744947200],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 7647293/16817061888000],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 2029843/44144787456000],
[[[1, 13], [2, 6], [4, 1], [12, 1]], 82979/13243436236800],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 24742997/58859716608000],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 634519/2759049216000],
[[[1, 13], [2, 6], [6, 1], [8, 1]], 342103/26486872473600],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 3113/2675441664000],
[[[1, 13], [2, 6], [6, 1], [12, 1]], 1/101921587200],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 550877219/264868724736000],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 465726649/794606174208000],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 89105749/264868724736000],
[[[1, 13], [3, 1], [4, 2], [7, 1]], 17/3251404800],
[[[1, 13], [3, 1], [4, 2], [9, 1]], 31/103464345600],
[[[1, 13], [3, 1], [4, 3], [8, 1]], 1/13377208320],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 901/11705057280],
[[[1, 13], [3, 1], [5, 1], [9, 1]], 23/4180377600],
[[[1, 13], [3, 1], [6, 2], [7, 1]], 107/7725337804800],
[[[1, 13], [3, 1], [7, 1], [12, 1]], 107/1287556300800],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 43/2090188800],
[[[1, 13], [3, 2], [4, 2], [6, 2]], 1/236489932800],
[[[1, 13], [3, 2], [4, 2], [12, 1]], 1/39414988800],
[[[1, 13], [3, 2], [5, 1], [6, 2]], 23/100329062400],
[[[1, 13], [3, 2], [5, 1], [12, 1]], 23/16721510400],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 119681/39730308710400],
[[[1, 13], [4, 1], [7, 1], [8, 1]], 1/5573836800],
[[[1, 13], [4, 1], [8, 1], [9, 1]], 1/551809843200],
[[[1, 14], [2, 1], [3, 1], [4, 4]], 19/137952460800],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 1961/16721510400],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 10447/1986515435520],
[[[1, 14], [2, 1], [3, 2], [6, 3]], 41/13243436236800],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 333217/5794003353600],
[[[1, 14], [2, 1], [3, 2], [9, 1]], 59959/6621718118400],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 2070517/190705481809920],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 8857481/38626689024000],
[[[1, 14], [2, 1], [3, 3], [6, 2]], 631/3310859059200],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 325601/79460617420800],
[[[1, 14], [2, 1], [3, 3], [12, 1]], 631/551809843200],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 789517/15892123484160],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 2861581/119190926131200],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 4373/222953472000],
[[[1, 14], [2, 1], [4, 1], [8, 2]], 1/490497638400],
[[[1, 14], [2, 1], [4, 2], [7, 1]], 137/143061811200],
[[[1, 14], [2, 1], [4, 2], [9, 1]], 73/13243436236800],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 19147/11036196864000],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 169/1961990553600],
[[[1, 14], [2, 1], [4, 3], [10, 1]], 1/3678732288000],
[[[1, 14], [2, 1], [4, 3], [12, 1]], 1/2207239372800],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 72833/5150225203200],
[[[1, 14], [2, 1], [5, 1], [9, 1]], 19/59609088000],
[[[1, 14], [2, 1], [7, 1], [8, 1]], 23/107296358400],
[[[1, 14], [2, 1], [8, 1], [9, 1]], 1/1103619686400],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 1261679/13243436236800],
[[[1, 14], [2, 3], [3, 1], [6, 3]], 713/39730308710400],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 357389/2207239372800],
[[[1, 14], [2, 3], [3, 1], [9, 1]], 4033/264868724736],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 715007/1471492915200],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 8835257/9459597312000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 5135687/476763704524800],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 284743/5675758387200],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 6767/2069286912000],
[[[1, 14], [2, 3], [3, 2], [12, 1]], 2207/630639820800],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 73991941/86684309913600],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 230593801/715145556787200],
[[[1, 14], [2, 3], [4, 1], [6, 3]], 1/1655429529600],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 259351/3433483468800],
[[[1, 14], [2, 3], [4, 1], [9, 1]], 22423/13243436236800],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 1298207/7357464576000],
[[[1, 14], [2, 3], [4, 2], [6, 2]], 481/13243436236800],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 81743/4414478745600],
[[[1, 14], [2, 3], [4, 2], [10, 1]], 421/2452488192000],
[[[1, 14], [2, 3], [4, 2], [12, 1]], 1129/4414478745600],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 1667/963158999040],
[[[1, 14], [2, 3], [5, 1], [6, 2]], 421/2069286912000],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 152441/11036196864000],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 1711/681246720000],
[[[1, 14], [2, 3], [6, 1], [7, 1]], 137/53648179200],
[[[1, 14], [2, 3], [6, 1], [9, 1]], 73/4966288588800],
[[[1, 14], [2, 3], [6, 2], [8, 1]], 1/662171811840],
[[[1, 14], [2, 3], [8, 1], [10, 1]], 1/306561024000],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 5163839/4237899595776],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 68406959/88289574912000],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 6991931/423789959577600],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 1806017/26486872473600],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 1783/197074944000],
[[[1, 14], [2, 5], [3, 1], [12, 1]], 333937/211894979788800],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 466515053/264868724736000],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 62292191/119190926131200],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 137982697/220723937280000],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 5713/3310859059200],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 5260567/70631659929600],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 31159/7357464576000],
[[[1, 14], [2, 5], [4, 1], [12, 1]], 53/58859716608],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 4800539/105947489894400],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 7831/206928691200],
[[[1, 14], [2, 5], [6, 1], [8, 1]], 4823/3783838924800],
[[[1, 14], [2, 5], [6, 1], [10, 1]], 67/1379524608000],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 4596467/4729798656000],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 781597/3783838924800],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 926713/11036196864000],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 1227487/476763704524800],
[[[1, 15], [2, 2], [3, 1], [6, 3]], 1/39730308710400],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 224117/15450675609600],
[[[1, 15], [2, 2], [3, 1], [9, 1]], 15647/15450675609600],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 749/35035545600],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 16634393/154506756096000],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 569231/3337345931673600],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 2047/735746457600],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 149/2069286912000],
[[[1, 15], [2, 2], [3, 2], [12, 1]], 479/2060090081280],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 158510057/2224897287782400],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 7475/371504185344],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 39881/10300450406400],
[[[1, 15], [2, 2], [4, 1], [9, 1]], 389/6180270243840],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 8633/1471492915200],
[[[1, 15], [2, 2], [4, 2], [6, 2]], 1/1891919462400],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 107/280284364800],
[[[1, 15], [2, 2], [4, 2], [10, 1]], 19/7357464576000],
[[[1, 15], [2, 2], [4, 2], [12, 1]], 17/4414478745600],
[[[1, 15], [2, 2], [4, 3], [6, 1]], 71/8828957491200],
[[[1, 15], [2, 2], [5, 1], [6, 2]], 1/295612416000],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 1277/2145927168000],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 331/4598415360000],
[[[1, 15], [2, 2], [6, 1], [7, 1]], 23/482833612800],
[[[1, 15], [2, 2], [6, 1], [9, 1]], 1/4966288588800],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 1428067/9631589990400],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 14195023/88289574912000],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 164041/192631799808000],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 811123/95352740904960],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 943/1379524608000],
[[[1, 15], [2, 4], [3, 1], [12, 1]], 211433/1059474898944000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 254263/802632499200],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 5310961/75848771174400],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 9369757/103004504064000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 1697/26486872473600],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 35413/5045118566400],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 43849/220723937280000],
[[[1, 15], [2, 4], [4, 1], [12, 1]], 9979/132434362368000],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 280613/105947489894400],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 54191/16554295296000],
[[[1, 15], [2, 4], [6, 1], [8, 1]], 18499/264868724736000],
[[[1, 15], [2, 4], [6, 1], [10, 1]], 1/1379524608000],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 169109683/595954630656000],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 17887021/397303087104000],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 414307/33108590592000],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 37/131383296000],
[[[1, 15], [3, 1], [4, 2], [6, 2]], 1/105947489894400],
[[[1, 15], [3, 1], [4, 2], [12, 1]], 1/17657914982400],
[[[1, 15], [3, 1], [5, 1], [6, 2]], 47/77253378048000],
[[[1, 15], [3, 1], [5, 1], [12, 1]], 47/12875563008000],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 149/3310859059200],
[[[1, 15], [4, 1], [5, 1], [8, 1]], 1/131383296000],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 27427/476763704524800],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 89821/139056080486400],
[[[1, 16], [2, 1], [3, 1], [9, 1]], 4579/139056080486400],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 29149/119190926131200],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 938603/154506756096000],
[[[1, 16], [2, 1], [3, 2], [6, 2]], 79/61802702438400],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 739/13243436236800],
[[[1, 16], [2, 1], [3, 2], [12, 1]], 79/10300450406400],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 1644953/741632429260800],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 1475/3178424696832],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 239/3433483468800],
[[[1, 16], [2, 1], [4, 1], [9, 1]], 1/1144494489600],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 3929/77253378048000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 19/11771943321600],
[[[1, 16], [2, 1], [4, 3], [6, 1]], 1/8828957491200],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 239/25751126016000],
[[[1, 16], [2, 1], [5, 1], [10, 1]], 1/1337720832000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 1593859/176579149824000],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 54753191/2781121609728000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 3936983/200240755900416000],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 1929119/3337345931673600],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 1241/49662885888000],
[[[1, 16], [2, 3], [3, 1], [12, 1]], 229/15259926528000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 8764297/278112160972800],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 12887321/2503009448755200],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 2232767/309013512192000],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 1/1059474898944],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 901783/2472108097536000],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 2941/662171811840000],
[[[1, 16], [2, 3], [4, 1], [12, 1]], 1411/397303087104000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 61477/741632429260800],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 3929/28970016768000],
[[[1, 16], [2, 3], [6, 1], [8, 1]], 23/10319560704000],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 56777507/1112448643891200],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 297771653/50060188975104000],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 77681/72236924928000],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 842537/3708162146304000],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 1255913/927040536576000],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 3697/18203705081856000],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 7241/370816214630400],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 17/49662885888000],
[[[1, 17], [2, 2], [3, 1], [12, 1]], 89/137339338752000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 435551/278112160972800],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 67391/357572778393600],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 87337/309013512192000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 143219/14832648585216000],
[[[1, 17], [2, 2], [4, 1], [10, 1]], 103/1986515435520000],
[[[1, 17], [2, 2], [4, 1], [12, 1]], 103/1191909261312000],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 871/741632429260800],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 239/115880067072000],
[[[1, 17], [2, 2], [6, 1], [8, 1]], 103/2383818522624000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 4380601/794606174208000],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 85027/182037050818560],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 439517/8343364829184000],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 17/79460617420800],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 2539/1516975423488000],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 17533/370816214630400],
[[[1, 18], [2, 1], [3, 1], [6, 2]], 109/44497945755648000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 281/1112448643891200],
[[[1, 18], [2, 1], [3, 1], [12, 1]], 109/7416324292608000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 32687/1112448643891200],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 1087/417168241459200],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 641/154506756096000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 701/6356849393664000],
[[[1, 18], [2, 1], [4, 1], [10, 1]], 1/1986515435520000],
[[[1, 18], [2, 1], [4, 1], [12, 1]], 1/1191909261312000],
[[[1, 18], [2, 1], [6, 1], [8, 1]], 1/2383818522624000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 5682601/16686729658368000],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 298757/14302911135744000],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 593/397303087104000],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 457/42138206208000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 48347/100120377950208000],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 13/505658474496000],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 151/1112448643891200],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 37/8343364829184000],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/4171682414592000],
[[[2, 3], [4, 2], [6, 3], [18, 2]], 1/93312],
[[[2, 3], [4, 2], [6, 4], [22, 1]], 1/2737152],
[[[2, 3], [4, 2], [6, 6], [18, 1]], 1/6718464],
[[[2, 3], [6, 2], [14, 1], [18, 2]], 1/6804],
[[[2, 3], [6, 3], [10, 1], [14, 2]], 1/635040],
[[[2, 3], [6, 3], [14, 1], [22, 1]], 1/199584],
[[[2, 3], [6, 5], [14, 1], [18, 1]], 1/489888],
[[[2, 3], [10, 1], [14, 2], [18, 1]], 1/8820],
[[[2, 3], [14, 1], [18, 1], [22, 1]], 1/2772],
[[[2, 5], [3, 2], [4, 2], [6, 6]], 1/53747712],
[[[2, 5], [3, 2], [6, 2], [14, 2]], 1/84672],
[[[2, 5], [3, 2], [6, 3], [22, 1]], 1/228096],
[[[2, 5], [3, 2], [6, 5], [14, 1]], 1/3919104],
[[[2, 5], [3, 2], [6, 5], [18, 1]], 1/559872],
[[[2, 5], [4, 1], [6, 7], [8, 1]], 1/161243136],
[[[2, 5], [4, 2], [6, 2], [18, 2]], 5/746496],
[[[2, 5], [4, 2], [6, 3], [22, 1]], 49/21897216],
[[[2, 5], [4, 2], [6, 4], [10, 2]], 1/24883200],
[[[2, 5], [4, 2], [6, 5], [14, 1]], 1/10450944],
[[[2, 5], [4, 2], [6, 5], [18, 1]], 61/53747712],
[[[2, 5], [4, 2], [6, 6], [10, 1]], 1/22394880],
[[[2, 5], [4, 2], [6, 6], [12, 1]], 1/8957952],
[[[2, 5], [4, 2], [10, 1], [14, 2]], 1/94080],
[[[2, 5], [4, 2], [14, 1], [22, 1]], 1/29568],
[[[2, 5], [4, 2], [18, 1], [22, 1]], 1/304128],
[[[2, 5], [4, 3], [8, 1], [22, 1]], 1/135168],
[[[2, 5], [4, 4], [6, 1], [22, 1]], 1/405504],
[[[2, 5], [4, 4], [6, 3], [18, 1]], 1/995328],
[[[2, 5], [6, 1], [14, 1], [18, 2]], 1/13608],
[[[2, 5], [6, 1], [14, 2], [18, 1]], 1/10584],
[[[2, 5], [6, 2], [10, 1], [14, 2]], 1/105840],
[[[2, 5], [6, 2], [10, 1], [18, 2]], 1/38880],
[[[2, 5], [6, 2], [12, 1], [14, 2]], 1/14112],
[[[2, 5], [6, 2], [14, 1], [22, 1]], 1/33264],
[[[2, 5], [6, 2], [18, 1], [22, 1]], 1/28512],
[[[2, 5], [6, 3], [10, 1], [22, 1]], 1/1140480],
[[[2, 5], [6, 3], [10, 2], [14, 1]], 1/1209600],
[[[2, 5], [6, 3], [12, 1], [22, 1]], 1/38016],
[[[2, 5], [6, 4], [14, 1], [18, 1]], 5/326592],
[[[2, 5], [6, 5], [10, 1], [14, 1]], 1/1306368],
[[[2, 5], [6, 5], [10, 1], [18, 1]], 1/2799360],
[[[2, 5], [6, 5], [12, 1], [14, 1]], 1/653184],
[[[2, 5], [6, 5], [12, 1], [18, 1]], 1/93312],
[[[2, 5], [10, 1], [14, 1], [22, 1]], 1/3080],
[[[2, 5], [10, 1], [18, 1], [22, 1]], 1/15840],
[[[2, 5], [10, 2], [14, 1], [18, 1]], 1/16800],
[[[2, 7], [3, 2], [4, 2], [6, 5]], 17/429981696],
[[[2, 7], [3, 2], [6, 1], [10, 3]], 1/1152000],
[[[2, 7], [3, 2], [6, 1], [14, 2]], 1/1693440],
[[[2, 7], [3, 2], [6, 2], [22, 1]], 1/3649536],
[[[2, 7], [3, 2], [6, 3], [10, 2]], 1/691200],
[[[2, 7], [3, 2], [6, 4], [14, 1]], 13/7838208],
[[[2, 7], [3, 2], [6, 4], [18, 1]], 1/995328],
[[[2, 7], [3, 2], [6, 5], [10, 1]], 13/22394880],
[[[2, 7], [4, 1], [6, 6], [8, 1]], 1/20155392],
[[[2, 7], [4, 1], [8, 1], [10, 3]], 1/128000],
[[[2, 7], [4, 2], [6, 1], [10, 3]], 1/384000],
[[[2, 7], [4, 2], [6, 1], [14, 2]], 1/112896],
[[[2, 7], [4, 2], [6, 1], [18, 2]], 1/1492992],
[[[2, 7], [4, 2], [6, 2], [22, 1]], 17/3649536],
[[[2, 7], [4, 2], [6, 3], [10, 2]], 25/7962624],
[[[2, 7], [4, 2], [6, 4], [14, 1]], 109/139345920],
[[[2, 7], [4, 2], [6, 4], [18, 1]], 287/107495424],
[[[2, 7], [4, 2], [6, 5], [10, 1]], 5/11943936],
[[[2, 7], [4, 2], [6, 5], [12, 1]], 17/71663616],
[[[2, 7], [4, 2], [10, 1], [22, 1]], 1/112640],
[[[2, 7], [4, 2], [10, 2], [14, 1]], 1/153600],
[[[2, 7], [4, 2], [10, 2], [18, 1]], 1/2764800],
[[[2, 7], [4, 3], [6, 4], [8, 1]], 1/23887872],
[[[2, 7], [4, 3], [8, 1], [10, 2]], 1/1228800],
[[[2, 7], [4, 4], [6, 1], [10, 2]], 1/3686400],
[[[2, 7], [4, 4], [6, 2], [14, 1]], 1/1548288],
[[[2, 7], [4, 4], [6, 2], [18, 1]], 5/7962624],
[[[2, 7], [4, 4], [6, 3], [10, 1]], 1/3317760],
[[[2, 7], [4, 4], [10, 1], [14, 1]], 1/10321920],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 19/211680],
[[[2, 7], [6, 1], [10, 1], [18, 2]], 1/77760],
[[[2, 7], [6, 1], [10, 3], [12, 1]], 1/192000],
[[[2, 7], [6, 1], [12, 1], [14, 2]], 1/282240],
[[[2, 7], [6, 1], [14, 1], [22, 1]], 1/66528],
[[[2, 7], [6, 1], [18, 1], [22, 1]], 1/456192],
[[[2, 7], [6, 2], [10, 1], [22, 1]], 7/190080],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 11/201600],
[[[2, 7], [6, 2], [10, 2], [18, 1]], 1/28800],
[[[2, 7], [6, 2], [12, 1], [22, 1]], 1/608256],
[[[2, 7], [6, 3], [10, 2], [12, 1]], 1/115200],
[[[2, 7], [6, 3], [14, 1], [18, 1]], 25/979776],
[[[2, 7], [6, 4], [10, 1], [14, 1]], 713/104509440],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 37/1866240],
[[[2, 7], [6, 4], [12, 1], [14, 1]], 13/1306368],
[[[2, 7], [6, 4], [12, 1], [18, 1]], 1/165888],
[[[2, 7], [6, 5], [10, 1], [12, 1]], 13/3732480],
[[[2, 9], [3, 2], [4, 2], [6, 4]], 1/134369280],
[[[2, 9], [3, 2], [6, 1], [22, 1]], 1/1021870080],
[[[2, 9], [3, 2], [6, 2], [10, 2]], 1/3686400],
[[[2, 9], [3, 2], [6, 3], [14, 1]], 1/5971968],
[[[2, 9], [3, 2], [6, 3], [18, 1]], 47/836075520],
[[[2, 9], [3, 2], [6, 4], [10, 1]], 23/89579520],
[[[2, 9], [4, 1], [6, 5], [8, 1]], 101/1074954240],
[[[2, 9], [4, 1], [8, 1], [22, 1]], 1/72990720],
[[[2, 9], [4, 2], [6, 1], [22, 1]], 19/54743040],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 77/33177600],
[[[2, 9], [4, 2], [6, 3], [14, 1]], 2729/1672151040],
[[[2, 9], [4, 2], [6, 3], [18, 1]], 103/89579520],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 7993/8360755200],
[[[2, 9], [4, 2], [6, 4], [12, 1]], 1/22394880],
[[[2, 9], [4, 2], [14, 1], [18, 1]], 1/23224320],
[[[2, 9], [4, 3], [6, 3], [8, 1]], 1/11943936],
[[[2, 9], [4, 3], [8, 1], [14, 1]], 1/10321920],
[[[2, 9], [4, 4], [6, 1], [14, 1]], 1/8847360],
[[[2, 9], [4, 4], [6, 1], [18, 1]], 1/15925248],
[[[2, 9], [4, 4], [6, 2], [10, 1]], 1/8847360],
[[[2, 9], [6, 1], [10, 1], [22, 1]], 7/1520640],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 1/35840],
[[[2, 9], [6, 1], [10, 2], [18, 1]], 19/1382400],
[[[2, 9], [6, 1], [12, 1], [22, 1]], 1/170311680],
[[[2, 9], [6, 2], [10, 2], [12, 1]], 1/614400],
[[[2, 9], [6, 2], [14, 1], [18, 1]], 347/78382080],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 485921/29262643200],
[[[2, 9], [6, 3], [10, 1], [18, 1]], 1/87480],
[[[2, 9], [6, 3], [12, 1], [14, 1]], 1/995328],
[[[2, 9], [6, 3], [12, 1], [18, 1]], 47/139345920],
[[[2, 9], [6, 4], [10, 1], [12, 1]], 23/14929920],
[[[2, 9], [10, 1], [14, 1], [18, 1]], 401/406425600],
[[[2, 11], [3, 2], [4, 2], [6, 3]], 23/60197437440],
[[[2, 11], [3, 2], [6, 1], [10, 2]], 11/3096576000],
[[[2, 11], [3, 2], [6, 2], [14, 1]], 151/35115171840],
[[[2, 11], [3, 2], [6, 2], [18, 1]], 1/5016453120],
[[[2, 11], [3, 2], [6, 3], [10, 1]], 143/8360755200],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 121/2821754880],
[[[2, 11], [4, 1], [8, 1], [10, 2]], 151/4644864000],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 557/1741824000],
[[[2, 11], [4, 2], [6, 2], [14, 1]], 151/836075520],
[[[2, 11], [4, 2], [6, 2], [18, 1]], 559/7524679680],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 439/1433272320],
[[[2, 11], [4, 2], [6, 3], [12, 1]], 23/10032906240],
[[[2, 11], [4, 2], [10, 1], [14, 1]], 641/4877107200],
[[[2, 11], [4, 2], [10, 1], [18, 1]], 1/696729600],
[[[2, 11], [4, 3], [6, 2], [8, 1]], 1/159252480],
[[[2, 11], [4, 3], [8, 1], [10, 1]], 1/309657600],
[[[2, 11], [4, 4], [6, 1], [10, 1]], 13/1238630400],
[[[2, 11], [6, 1], [10, 2], [12, 1]], 11/516096000],
[[[2, 11], [6, 1], [14, 1], [18, 1]], 23/487710720],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 36203/14631321600],
[[[2, 11], [6, 2], [10, 1], [18, 1]], 53/48988800],
[[[2, 11], [6, 2], [12, 1], [14, 1]], 151/5852528640],
[[[2, 11], [6, 2], [12, 1], [18, 1]], 1/836075520],
[[[2, 11], [6, 3], [10, 1], [12, 1]], 143/1393459200],
[[[2, 13], [3, 2], [4, 2], [6, 2]], 1/236489932800],
[[[2, 13], [3, 2], [6, 1], [14, 1]], 107/7725337804800],
[[[2, 13], [3, 2], [6, 2], [10, 1]], 23/100329062400],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 119681/39730308710400],
[[[2, 13], [4, 1], [8, 1], [14, 1]], 1/5573836800],
[[[2, 13], [4, 1], [8, 1], [18, 1]], 1/551809843200],
[[[2, 13], [4, 2], [6, 1], [14, 1]], 17/3251404800],
[[[2, 13], [4, 2], [6, 1], [18, 1]], 31/103464345600],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 43/2090188800],
[[[2, 13], [4, 2], [6, 2], [12, 1]], 1/39414988800],
[[[2, 13], [4, 3], [6, 1], [8, 1]], 1/13377208320],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 901/11705057280],
[[[2, 13], [6, 1], [10, 1], [18, 1]], 23/4180377600],
[[[2, 13], [6, 1], [12, 1], [14, 1]], 107/1287556300800],
[[[2, 13], [6, 2], [10, 1], [12, 1]], 23/16721510400],
[[[2, 15], [3, 2], [4, 2], [6, 1]], 1/105947489894400],
[[[2, 15], [3, 2], [6, 1], [10, 1]], 47/77253378048000],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 149/3310859059200],
[[[2, 15], [4, 1], [8, 1], [10, 1]], 1/131383296000],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 37/131383296000],
[[[2, 15], [4, 2], [6, 1], [12, 1]], 1/17657914982400],
[[[2, 15], [6, 1], [10, 1], [12, 1]], 47/12875563008000],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 17/79460617420800],
[[[1, 1], [2, 2], [3, 2], [4, 3], [9, 2]], 1/373248],
[[[1, 1], [2, 2], [3, 3], [4, 3], [11, 1]], 1/10948608],
[[[1, 1], [2, 2], [3, 5], [4, 3], [9, 1]], 1/26873856],
[[[1, 1], [2, 2], [4, 2], [6, 3], [18, 2]], 1/93312],
[[[1, 1], [2, 2], [4, 2], [6, 4], [22, 1]], 1/2737152],
[[[1, 1], [2, 2], [4, 2], [6, 6], [18, 1]], 1/6718464],
[[[1, 1], [2, 2], [4, 3], [6, 2], [18, 2]], 1/373248],
[[[1, 1], [2, 2], [4, 3], [6, 3], [22, 1]], 1/10948608],
[[[1, 1], [2, 2], [4, 3], [6, 5], [18, 1]], 1/26873856],
[[[1, 1], [2, 2], [4, 3], [9, 1], [11, 1]], 1/152064],
[[[1, 1], [2, 2], [4, 3], [18, 1], [22, 1]], 1/152064],
[[[1, 1], [2, 2], [6, 2], [14, 1], [18, 2]], 1/6804],
[[[1, 1], [2, 2], [6, 3], [10, 1], [14, 2]], 1/635040],
[[[1, 1], [2, 2], [6, 3], [14, 1], [22, 1]], 1/199584],
[[[1, 1], [2, 2], [6, 5], [14, 1], [18, 1]], 1/489888],
[[[1, 1], [2, 2], [10, 1], [14, 2], [18, 1]], 1/8820],
[[[1, 1], [2, 2], [14, 1], [18, 1], [22, 1]], 1/2772],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 7]], 1/26873856],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/11664],
[[[1, 1], [2, 4], [3, 1], [6, 4], [22, 1]], 1/342144],
[[[1, 1], [2, 4], [3, 1], [6, 6], [14, 1]], 1/1959552],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 1/839808],
[[[1, 1], [2, 4], [3, 1], [6, 7], [8, 1]], 1/120932352],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 6]], 1/53747712],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 5]], 1/214990848],
[[[1, 1], [2, 4], [3, 2], [6, 2], [14, 2]], 1/42336],
[[[1, 1], [2, 4], [3, 2], [6, 3], [22, 1]], 1/228096],
[[[1, 1], [2, 4], [3, 2], [6, 5], [14, 1]], 1/3919104],
[[[1, 1], [2, 4], [3, 2], [6, 5], [18, 1]], 1/559872],
[[[1, 1], [2, 4], [3, 2], [8, 1], [9, 2]], 1/186624],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 5]], 1/2985984],
[[[1, 1], [2, 4], [3, 3], [4, 3], [6, 4]], 1/7962624],
[[[1, 1], [2, 4], [3, 3], [4, 5], [8, 1]], 1/31850496],
[[[1, 1], [2, 4], [3, 3], [6, 2], [22, 1]], 1/38016],
[[[1, 1], [2, 4], [3, 3], [6, 4], [14, 1]], 1/217728],
[[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 1/93312],
[[[1, 1], [2, 4], [3, 3], [6, 5], [8, 1]], 7/3359232],
[[[1, 1], [2, 4], [3, 3], [8, 1], [11, 1]], 1/5474304],
[[[1, 1], [2, 4], [3, 5], [4, 3], [6, 2]], 1/71663616],
[[[1, 1], [2, 4], [3, 5], [6, 3], [8, 1]], 1/4478976],
[[[1, 1], [2, 4], [3, 5], [8, 1], [9, 1]], 1/13436928],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 7]], 1/100776960],
[[[1, 1], [2, 4], [4, 1], [6, 3], [14, 2]], 1/508032],
[[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 1/15552],
[[[1, 1], [2, 4], [4, 1], [6, 4], [22, 1]], 1/456192],
[[[1, 1], [2, 4], [4, 1], [6, 5], [12, 2]], 1/1119744],
[[[1, 1], [2, 4], [4, 1], [6, 6], [18, 1]], 1/1119744],
[[[1, 1], [2, 4], [4, 1], [6, 7], [8, 1]], 1/161243136],
[[[1, 1], [2, 4], [4, 1], [6, 7], [12, 1]], 1/60466176],
[[[1, 1], [2, 4], [4, 1], [8, 2], [22, 1]], 1/11264],
[[[1, 1], [2, 4], [4, 1], [14, 2], [18, 1]], 1/7056],
[[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 23/746496],
[[[1, 1], [2, 4], [4, 2], [6, 3], [22, 1]], 199/21897216],
[[[1, 1], [2, 4], [4, 2], [6, 4], [8, 2]], 1/1990656],
[[[1, 1], [2, 4], [4, 2], [6, 4], [10, 2]], 1/12441600],
[[[1, 1], [2, 4], [4, 2], [6, 5], [14, 1]], 1/5225472],
[[[1, 1], [2, 4], [4, 2], [6, 5], [18, 1]], 223/53747712],
[[[1, 1], [2, 4], [4, 2], [6, 6], [10, 1]], 1/22394880],
[[[1, 1], [2, 4], [4, 2], [6, 6], [12, 1]], 1/8957952],
[[[1, 1], [2, 4], [4, 2], [10, 1], [14, 2]], 1/94080],
[[[1, 1], [2, 4], [4, 2], [14, 1], [22, 1]], 1/29568],
[[[1, 1], [2, 4], [4, 2], [18, 1], [22, 1]], 7/304128],
[[[1, 1], [2, 4], [4, 3], [5, 1], [22, 1]], 1/84480],
[[[1, 1], [2, 4], [4, 3], [6, 1], [18, 2]], 1/746496],
[[[1, 1], [2, 4], [4, 3], [6, 2], [22, 1]], 1/1824768],
[[[1, 1], [2, 4], [4, 3], [6, 3], [10, 2]], 1/99532800],
[[[1, 1], [2, 4], [4, 3], [6, 4], [14, 1]], 1/5971968],
[[[1, 1], [2, 4], [4, 3], [6, 4], [18, 1]], 5/17915904],
[[[1, 1], [2, 4], [4, 3], [6, 5], [8, 1]], 1/5971968],
[[[1, 1], [2, 4], [4, 3], [6, 5], [10, 1]], 7/89579520],
[[[1, 1], [2, 4], [4, 3], [6, 5], [12, 1]], 1/35831808],
[[[1, 1], [2, 4], [4, 3], [8, 1], [22, 1]], 1/135168],
[[[1, 1], [2, 4], [4, 3], [10, 1], [22, 1]], 1/168960],
[[[1, 1], [2, 4], [4, 3], [10, 2], [14, 1]], 1/537600],
[[[1, 1], [2, 4], [4, 3], [10, 2], [18, 1]], 1/1382400],
[[[1, 1], [2, 4], [4, 3], [12, 1], [22, 1]], 1/50688],
[[[1, 1], [2, 4], [4, 4], [6, 1], [22, 1]], 1/405504],
[[[1, 1], [2, 4], [4, 4], [6, 3], [18, 1]], 1/995328],
[[[1, 1], [2, 4], [4, 5], [6, 2], [18, 1]], 1/3981312],
[[[1, 1], [2, 4], [4, 5], [8, 1], [9, 1]], 1/442368],
[[[1, 1], [2, 4], [4, 5], [10, 1], [14, 1]], 1/5160960],
[[[1, 1], [2, 4], [6, 1], [14, 1], [18, 2]], 1/3402],
[[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/5292],
[[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/62208],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/26460],
[[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/12960],
[[[1, 1], [2, 4], [6, 2], [12, 1], [14, 2]], 1/7056],
[[[1, 1], [2, 4], [6, 2], [14, 1], [22, 1]], 1/8316],
[[[1, 1], [2, 4], [6, 2], [18, 1], [22, 1]], 1/28512],
[[[1, 1], [2, 4], [6, 3], [8, 1], [22, 1]], 1/1824768],
[[[1, 1], [2, 4], [6, 3], [10, 1], [22, 1]], 1/380160],
[[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/518400],
[[[1, 1], [2, 4], [6, 3], [12, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 4], [6, 4], [14, 1], [18, 1]], 1/18144],
[[[1, 1], [2, 4], [6, 5], [8, 1], [18, 1]], 1/4478976],
[[[1, 1], [2, 4], [6, 5], [10, 1], [14, 1]], 1/1306368],
[[[1, 1], [2, 4], [6, 5], [10, 1], [18, 1]], 1/933120],
[[[1, 1], [2, 4], [6, 5], [12, 1], [14, 1]], 1/653184],
[[[1, 1], [2, 4], [6, 5], [12, 1], [18, 1]], 1/93312],
[[[1, 1], [2, 4], [8, 1], [9, 1], [11, 1]], 1/76032],
[[[1, 1], [2, 4], [8, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 1], [2, 4], [8, 1], [14, 1], [22, 1]], 1/2464],
[[[1, 1], [2, 4], [8, 1], [18, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 4], [10, 1], [14, 1], [22, 1]], 1/1540],
[[[1, 1], [2, 4], [10, 1], [18, 1], [22, 1]], 1/5280],
[[[1, 1], [2, 4], [10, 2], [14, 1], [18, 1]], 1/7200],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 7]], 1/483729408],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 6]], 1/2654208],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 5]], 1/8957952],
[[[1, 1], [2, 6], [3, 1], [4, 3], [22, 1]], 1/202752],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 1/3981312],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/14112],
[[[1, 1], [2, 6], [3, 1], [6, 2], [18, 2]], 1/23328],
[[[1, 1], [2, 6], [3, 1], [6, 3], [22, 1]], 5/114048],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/1555200],
[[[1, 1], [2, 6], [3, 1], [6, 5], [14, 1]], 23/3919104],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 13/559872],
[[[1, 1], [2, 6], [3, 1], [6, 6], [8, 1]], 1/15116544],
[[[1, 1], [2, 6], [3, 1], [6, 6], [10, 1]], 7/11197440],
[[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 1/279936],
[[[1, 1], [2, 6], [3, 1], [8, 1], [10, 3]], 1/96000],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 6]], 1/8957952],
[[[1, 1], [2, 6], [3, 2], [4, 1], [9, 2]], 1/7464960],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 5]], 71/429981696],
[[[1, 1], [2, 6], [3, 2], [4, 3], [6, 4]], 7/26873856],
[[[1, 1], [2, 6], [3, 2], [6, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 6], [3, 2], [6, 1], [14, 2]], 11/1693440],
[[[1, 1], [2, 6], [3, 2], [6, 2], [22, 1]], 13/3649536],
[[[1, 1], [2, 6], [3, 2], [6, 3], [10, 2]], 1/259200],
[[[1, 1], [2, 6], [3, 2], [6, 4], [14, 1]], 17/3919104],
[[[1, 1], [2, 6], [3, 2], [6, 4], [18, 1]], 5/995328],
[[[1, 1], [2, 6], [3, 2], [6, 5], [8, 1]], 1/35831808],
[[[1, 1], [2, 6], [3, 2], [6, 5], [10, 1]], 1/1492992],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 5]], 7/13436928],
[[[1, 1], [2, 6], [3, 3], [4, 1], [11, 1]], 1/218972160],
[[[1, 1], [2, 6], [3, 3], [4, 2], [6, 4]], 1/2654208],
[[[1, 1], [2, 6], [3, 3], [4, 2], [8, 2]], 1/15925248],
[[[1, 1], [2, 6], [3, 3], [4, 3], [6, 3]], 1/3981312],
[[[1, 1], [2, 6], [3, 3], [6, 2], [10, 2]], 1/172800],
[[[1, 1], [2, 6], [3, 3], [6, 3], [14, 1]], 5/435456],
[[[1, 1], [2, 6], [3, 3], [6, 3], [18, 1]], 1/186624],
[[[1, 1], [2, 6], [3, 3], [6, 4], [8, 1]], 475/107495424],
[[[1, 1], [2, 6], [3, 3], [6, 4], [10, 1]], 7/1244160],
[[[1, 1], [2, 6], [3, 5], [4, 1], [6, 3]], 1/17915904],
[[[1, 1], [2, 6], [3, 5], [4, 1], [9, 1]], 1/537477120],
[[[1, 1], [2, 6], [3, 5], [6, 2], [8, 1]], 1/35831808],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 6]], 1/12597120],
[[[1, 1], [2, 6], [4, 1], [5, 1], [10, 3]], 1/80000],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 1/84672],
[[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 19/497664],
[[[1, 1], [2, 6], [4, 1], [6, 3], [22, 1]], 65/4866048],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 1/1990656],
[[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/2488320],
[[[1, 1], [2, 6], [4, 1], [6, 4], [12, 2]], 1/559872],
[[[1, 1], [2, 6], [4, 1], [6, 5], [14, 1]], 1/870912],
[[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 1/147456],
[[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 17/40310784],
[[[1, 1], [2, 6], [4, 1], [6, 6], [10, 1]], 1/2799360],
[[[1, 1], [2, 6], [4, 1], [6, 6], [12, 1]], 97/120932352],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 3/128000],
[[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 1/102400],
[[[1, 1], [2, 6], [4, 1], [9, 1], [11, 1]], 1/3041280],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/6272],
[[[1, 1], [2, 6], [4, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 1], [2, 6], [4, 1], [14, 1], [22, 1]], 1/9856],
[[[1, 1], [2, 6], [4, 1], [18, 1], [22, 1]], 1/67584],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/128000],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/56448],
[[[1, 1], [2, 6], [4, 2], [6, 1], [18, 2]], 5/746496],
[[[1, 1], [2, 6], [4, 2], [6, 2], [22, 1]], 25/1824768],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 49/15925248],
[[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 7/995328],
[[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 671/209018880],
[[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 17/1679616],
[[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/3981312],
[[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 29/19906560],
[[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 71/71663616],
[[[1, 1], [2, 6], [4, 2], [8, 1], [22, 1]], 1/33792],
[[[1, 1], [2, 6], [4, 2], [8, 2], [9, 1]], 1/221184],
[[[1, 1], [2, 6], [4, 2], [8, 2], [18, 1]], 1/221184],
[[[1, 1], [2, 6], [4, 2], [10, 1], [22, 1]], 7/168960],
[[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 11/537600],
[[[1, 1], [2, 6], [4, 2], [10, 2], [18, 1]], 1/345600],
[[[1, 1], [2, 6], [4, 3], [5, 1], [6, 4]], 1/14929920],
[[[1, 1], [2, 6], [4, 3], [5, 1], [10, 2]], 1/768000],
[[[1, 1], [2, 6], [4, 3], [6, 1], [22, 1]], 41/1824768],
[[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 17/3317760],
[[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 107/104509440],
[[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 305/26873856],
[[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 13/11943936],
[[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 49/89579520],
[[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 5/2985984],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/614400],
[[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 1/460800],
[[[1, 1], [2, 6], [4, 3], [14, 1], [18, 1]], 1/725760],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 1/294912],
[[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 1/1843200],
[[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/774144],
[[[1, 1], [2, 6], [4, 4], [6, 2], [18, 1]], 23/7962624],
[[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 1/3317760],
[[[1, 1], [2, 6], [4, 4], [8, 1], [14, 1]], 1/344064],
[[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/1474560],
[[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/884736],
[[[1, 1], [2, 6], [4, 5], [6, 1], [18, 1]], 1/7962624],
[[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1/884736],
[[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 7/13271040],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/2073600],
[[[1, 1], [2, 6], [5, 1], [6, 5], [10, 1]], 1/3732480],
[[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 1], [2, 6], [5, 1], [10, 2], [18, 1]], 1/28800],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/9408],
[[[1, 1], [2, 6], [6, 1], [8, 1], [18, 2]], 1/124416],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 61/211680],
[[[1, 1], [2, 6], [6, 1], [10, 1], [18, 2]], 1/12960],
[[[1, 1], [2, 6], [6, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 1], [2, 6], [6, 1], [12, 1], [14, 2]], 11/282240],
[[[1, 1], [2, 6], [6, 1], [14, 1], [22, 1]], 1/9504],
[[[1, 1], [2, 6], [6, 1], [18, 1], [22, 1]], 13/456192],
[[[1, 1], [2, 6], [6, 2], [8, 1], [22, 1]], 13/304128],
[[[1, 1], [2, 6], [6, 2], [10, 1], [22, 1]], 1/10560],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 19/151200],
[[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/8100],
[[[1, 1], [2, 6], [6, 2], [12, 1], [22, 1]], 13/608256],
[[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/16588800],
[[[1, 1], [2, 6], [6, 3], [10, 2], [12, 1]], 1/43200],
[[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 59/489888],
[[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 17/6967296],
[[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 53/2985984],
[[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 505/20901888],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 7/155520],
[[[1, 1], [2, 6], [6, 4], [12, 1], [14, 1]], 17/653184],
[[[1, 1], [2, 6], [6, 4], [12, 1], [18, 1]], 5/165888],
[[[1, 1], [2, 6], [6, 5], [8, 1], [10, 1]], 1/14929920],
[[[1, 1], [2, 6], [6, 5], [8, 1], [12, 1]], 1/5971968],
[[[1, 1], [2, 6], [6, 5], [10, 1], [12, 1]], 1/248832],
[[[1, 1], [2, 6], [8, 1], [10, 1], [22, 1]], 3/28160],
[[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/12800],
[[[1, 1], [2, 6], [8, 1], [10, 2], [18, 1]], 1/230400],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 5/30233088],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/128000],
[[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/282240],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 377/358318080],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 1/3981312],
[[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/1843200],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/3538944],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 3/64000],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/282240],
[[[1, 1], [2, 8], [3, 1], [6, 2], [22, 1]], 19/1824768],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 11/207360],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 47/2449440],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 65/3359232],
[[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 101/806215680],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1049/89579520],
[[[1, 1], [2, 8], [3, 1], [6, 5], [12, 1]], 83/17915904],
[[[1, 1], [2, 8], [3, 1], [8, 1], [22, 1]], 1/54743040],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 5]], 163/286654464],
[[[1, 1], [2, 8], [3, 2], [4, 2], [6, 4]], 49/537477120],
[[[1, 1], [2, 8], [3, 2], [4, 3], [6, 3]], 41/716636160],
[[[1, 1], [2, 8], [3, 2], [6, 1], [22, 1]], 43/1021870080],
[[[1, 1], [2, 8], [3, 2], [6, 2], [10, 2]], 43/16588800],
[[[1, 1], [2, 8], [3, 2], [6, 3], [14, 1]], 47/20901888],
[[[1, 1], [2, 8], [3, 2], [6, 3], [18, 1]], 761/836075520],
[[[1, 1], [2, 8], [3, 2], [6, 4], [8, 1]], 1/17915904],
[[[1, 1], [2, 8], [3, 2], [6, 4], [10, 1]], 19/9953280],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 4]], 4507/4299816960],
[[[1, 1], [2, 8], [3, 3], [4, 2], [6, 3]], 1/19906560],
[[[1, 1], [2, 8], [3, 3], [4, 3], [8, 1]], 1/637009920],
[[[1, 1], [2, 8], [3, 3], [6, 2], [14, 1]], 1/2177280],
[[[1, 1], [2, 8], [3, 3], [6, 3], [8, 1]], 23/44789760],
[[[1, 1], [2, 8], [3, 3], [6, 3], [10, 1]], 17/9953280],
[[[1, 1], [2, 8], [3, 5], [4, 1], [6, 2]], 1/1433272320],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 101/671846400],
[[[1, 1], [2, 8], [4, 1], [5, 1], [22, 1]], 1/45619200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/38400],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 11/338688],
[[[1, 1], [2, 8], [4, 1], [6, 1], [18, 2]], 1/331776],
[[[1, 1], [2, 8], [4, 1], [6, 2], [22, 1]], 43/2433024],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1/995328],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 10217/398131200],
[[[1, 1], [2, 8], [4, 1], [6, 3], [12, 2]], 1/7464960],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 2117/278691840],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1037/71663616],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 2201/1074954240],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 377/119439360],
[[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 23621/6449725440],
[[[1, 1], [2, 8], [4, 1], [8, 1], [22, 1]], 37/72990720],
[[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 1/860160],
[[[1, 1], [2, 8], [4, 1], [10, 1], [22, 1]], 7/225280],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 157/2150400],
[[[1, 1], [2, 8], [4, 1], [10, 2], [18, 1]], 41/5529600],
[[[1, 1], [2, 8], [4, 1], [12, 1], [22, 1]], 1/27371520],
[[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/204800],
[[[1, 1], [2, 8], [4, 2], [6, 1], [22, 1]], 23/4976640],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 5/2654208],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 427/33177600],
[[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 3763/557383680],
[[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 739/89579520],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 121/119439360],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 32941/8360755200],
[[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 49/89579520],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 1/102400],
[[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/245760],
[[[1, 1], [2, 8], [4, 2], [14, 1], [18, 1]], 17/23224320],
[[[1, 1], [2, 8], [4, 3], [5, 1], [6, 3]], 1/7464960],
[[[1, 1], [2, 8], [4, 3], [5, 1], [14, 1]], 1/6451200],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 107/16588800],
[[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 359/34836480],
[[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 1285/214990848],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 331/127401984],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 71453/12541132800],
[[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 203/358318080],
[[[1, 1], [2, 8], [4, 3], [8, 1], [9, 1]], 1/8847360],
[[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 31/10321920],
[[[1, 1], [2, 8], [4, 3], [8, 1], [18, 1]], 1/5308416],
[[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 10301/1393459200],
[[[1, 1], [2, 8], [4, 3], [10, 1], [18, 1]], 53/174182400],
[[[1, 1], [2, 8], [4, 3], [12, 1], [14, 1]], 1/3870720],
[[[1, 1], [2, 8], [4, 4], [5, 1], [10, 1]], 1/5898240],
[[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 31/30965760],
[[[1, 1], [2, 8], [4, 4], [6, 1], [18, 1]], 5/7962624],
[[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 1/1769472],
[[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 7/8847360],
[[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 1/1474560],
[[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 1/3538944],
[[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/3317760],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 7/345600],
[[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 97/59719680],
[[[1, 1], [2, 8], [6, 1], [8, 1], [22, 1]], 5/1216512],
[[[1, 1], [2, 8], [6, 1], [10, 1], [22, 1]], 13/253440],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 443/2419200],
[[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 211/2073600],
[[[1, 1], [2, 8], [6, 1], [12, 1], [22, 1]], 43/170311680],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 49/2764800],
[[[1, 1], [2, 8], [6, 2], [10, 2], [12, 1]], 43/2764800],
[[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 971/19595520],
[[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 2201/139345920],
[[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 97/8957952],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 2317499/29262643200],
[[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 97/1244160],
[[[1, 1], [2, 8], [6, 3], [12, 1], [14, 1]], 47/3483648],
[[[1, 1], [2, 8], [6, 3], [12, 1], [18, 1]], 761/139345920],
[[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 349/59719680],
[[[1, 1], [2, 8], [6, 4], [8, 1], [12, 1]], 1/2985984],
[[[1, 1], [2, 8], [6, 4], [10, 1], [12, 1]], 19/1658880],
[[[1, 1], [2, 8], [8, 1], [14, 1], [18, 1]], 1/1935360],
[[[1, 1], [2, 8], [10, 1], [14, 1], [18, 1]], 5819/406425600],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1091/3224862720],
[[[1, 1], [2, 10], [3, 1], [4, 1], [22, 1]], 1/95800320],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 6737/8599633920],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 13/179159040],
[[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 1/15482880],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 1/26542080],
[[[1, 1], [2, 10], [3, 1], [6, 1], [22, 1]], 13/306561024],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 263/16588800],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1613/313528320],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1237/470292480],
[[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 121/2116316160],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 253769/25082265600],
[[[1, 1], [2, 10], [3, 1], [6, 4], [12, 1]], 617/1672151040],
[[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 151/3483648000],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 4]], 11/119439360],
[[[1, 1], [2, 10], [3, 2], [4, 2], [6, 3]], 67/7524679680],
[[[1, 1], [2, 10], [3, 2], [4, 3], [6, 2]], 29/8599633920],
[[[1, 1], [2, 10], [3, 2], [6, 1], [10, 2]], 29/331776000],
[[[1, 1], [2, 10], [3, 2], [6, 2], [14, 1]], 1943/17557585920],
[[[1, 1], [2, 10], [3, 2], [6, 2], [18, 1]], 23/2508226560],
[[[1, 1], [2, 10], [3, 2], [6, 3], [8, 1]], 1/238878720],
[[[1, 1], [2, 10], [3, 2], [6, 3], [10, 1]], 911/2786918400],
[[[1, 1], [2, 10], [3, 3], [4, 1], [6, 3]], 11/716636160],
[[[1, 1], [2, 10], [3, 3], [4, 2], [6, 2]], 1/955514880],
[[[1, 1], [2, 10], [3, 3], [6, 2], [8, 1]], 1/7524679680],
[[[1, 1], [2, 10], [3, 3], [6, 2], [10, 1]], 89/2786918400],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 121/1763596800],
[[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 151/2903040000],
[[[1, 1], [2, 10], [4, 1], [6, 1], [22, 1]], 23/18247680],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 1/13271040],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1237/66355200],
[[[1, 1], [2, 10], [4, 1], [6, 2], [12, 2]], 1/627056640],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 389/48771072],
[[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 869/179159040],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 63397/45148078080],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 185/23887872],
[[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 22583/33861058560],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 9349/2322432000],
[[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 1/25804800],
[[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 151/1741824000],
[[[1, 1], [2, 10], [4, 1], [14, 1], [18, 1]], 1/4515840],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 31/159252480],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 3203/870912000],
[[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 533/209018880],
[[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 2347/1881169920],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 8849/13377208320],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 7459/2508226560],
[[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 67/1254113280],
[[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 73/185794560],
[[[1, 1], [2, 10], [4, 2], [8, 1], [18, 1]], 1/185794560],
[[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 4993/2438553600],
[[[1, 1], [2, 10], [4, 2], [10, 1], [18, 1]], 1/24883200],
[[[1, 1], [2, 10], [4, 3], [5, 1], [6, 2]], 1/99532800],
[[[1, 1], [2, 10], [4, 3], [5, 1], [10, 1]], 1/193536000],
[[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 433/334430208],
[[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 119/238878720],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 503/955514880],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 11659/5016453120],
[[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 53/1433272320],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 359/619315200],
[[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 1/116121600],
[[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 1/17694720],
[[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 181/1238630400],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 7/2764800],
[[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 15121/16721510400],
[[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/29030400],
[[[1, 1], [2, 10], [5, 1], [10, 1], [18, 1]], 1/232243200],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 41/11059200],
[[[1, 1], [2, 10], [6, 1], [10, 2], [12, 1]], 29/55296000],
[[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 1021/731566080],
[[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 23/11612160],
[[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 55/62705664],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 238453/7315660800],
[[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 16907/1045094400],
[[[1, 1], [2, 10], [6, 2], [12, 1], [14, 1]], 1943/2926264320],
[[[1, 1], [2, 10], [6, 2], [12, 1], [18, 1]], 23/418037760],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 12601/4180377600],
[[[1, 1], [2, 10], [6, 3], [8, 1], [12, 1]], 1/39813120],
[[[1, 1], [2, 10], [6, 3], [10, 1], [12, 1]], 911/464486400],
[[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 641/406425600],
[[[1, 1], [2, 10], [8, 1], [10, 1], [18, 1]], 1/58060800],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 14969/270888468480],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/31104000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 37/557383680],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 11/2508226560],
[[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/464486400],
[[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/1274019840],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 3613/13934592000],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 3421/17557585920],
[[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 43/2508226560],
[[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 119681/29797731532800],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 2869/2508226560],
[[[1, 1], [2, 12], [3, 1], [6, 3], [12, 1]], 1/156764160],
[[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/4180377600],
[[[1, 1], [2, 12], [3, 1], [8, 1], [18, 1]], 1/413857382400],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 3]], 17/4013162496],
[[[1, 1], [2, 12], [3, 2], [4, 2], [6, 2]], 19/103464345600],
[[[1, 1], [2, 12], [3, 2], [4, 3], [6, 1]], 743/26486872473600],
[[[1, 1], [2, 12], [3, 2], [6, 1], [14, 1]], 5783/7725337804800],
[[[1, 1], [2, 12], [3, 2], [6, 2], [8, 1]], 1/20065812480],
[[[1, 1], [2, 12], [3, 2], [6, 2], [10, 1]], 289/33443020800],
[[[1, 1], [2, 12], [3, 3], [4, 1], [6, 2]], 1/30098718720],
[[[1, 1], [2, 12], [3, 3], [6, 1], [8, 1]], 1/3310859059200],
[[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 119681/24831442944000],
[[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/3483648000],
[[[1, 1], [2, 12], [4, 1], [5, 1], [18, 1]], 1/344881152000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1/1114767360],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 1/497664],
[[[1, 1], [2, 12], [4, 1], [6, 1], [12, 2]], 1/275904921600],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 197/243855360],
[[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 1957/6688604160],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 16639669/79460617420800],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 12377/6270566400],
[[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 124589/3724716441600],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 67/5573836800],
[[[1, 1], [2, 12], [4, 1], [8, 1], [18, 1]], 629/1103619686400],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 38053/78033715200],
[[[1, 1], [2, 12], [4, 1], [10, 1], [18, 1]], 1/87091200],
[[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/2090188800],
[[[1, 1], [2, 12], [4, 1], [12, 1], [18, 1]], 1/206928691200],
[[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/1393459200],
[[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 3911/29262643200],
[[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 1417/103464345600],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 29/557383680],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 97/232243200],
[[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 19/17244057600],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 53/2786918400],
[[[1, 1], [2, 12], [4, 3], [5, 1], [6, 1]], 1/8360755200],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 311/13377208320],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 2609/14332723200],
[[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 541/1471492915200],
[[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 451/8360755200],
[[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 121/1950842880],
[[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/278691840],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 109673/58525286400],
[[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 107/464486400],
[[[1, 1], [2, 12], [6, 1], [12, 1], [14, 1]], 5783/1287556300800],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 989/4180377600],
[[[1, 1], [2, 12], [6, 2], [8, 1], [12, 1]], 1/3344302080],
[[[1, 1], [2, 12], [6, 2], [10, 1], [12, 1]], 289/5573836800],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 325601/119190926131200],
[[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 23/160944537600],
[[[1, 1], [2, 14], [3, 1], [4, 1], [18, 1]], 1/1655429529600],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 137/110361968640],
[[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 1/630639820800],
[[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 37/735746457600],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 557/772533780480],
[[[1, 1], [2, 14], [3, 1], [6, 1], [18, 1]], 41/1655429529600],
[[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 149/2483144294400],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 79/3583180800],
[[[1, 1], [2, 14], [3, 1], [6, 2], [12, 1]], 41/2207239372800],
[[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/98537472000],
[[[1, 1], [2, 14], [3, 2], [4, 1], [6, 2]], 1/22072393728],
[[[1, 1], [2, 14], [3, 2], [4, 2], [6, 1]], 73/105947489894400],
[[[1, 1], [2, 14], [3, 2], [6, 1], [8, 1]], 1/8828957491200],
[[[1, 1], [2, 14], [3, 2], [6, 1], [10, 1]], 19/476872704000],
[[[1, 1], [2, 14], [3, 3], [4, 1], [6, 1]], 1/13243436236800],
[[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 149/2069286912000],
[[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/82114560000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 3209/156067430400],
[[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 589/441447874560],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 105773/13243436236800],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 8213/66886041600],
[[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 139/354734899200],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 5479/3678732288000],
[[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/49268736000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 37/58859716608],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 9967/919683072000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 73/17657914982400],
[[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 13/33443020800],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 1/298598400],
[[[1, 1], [2, 14], [6, 1], [8, 1], [12, 1]], 1/1471492915200],
[[[1, 1], [2, 14], [6, 1], [10, 1], [12, 1]], 19/79478784000],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 739/19865154355200],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 239/38626689024000],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 29/7567677849600],
[[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 17/59595463065600],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 10861/154506756096000],
[[[1, 1], [2, 16], [3, 2], [4, 1], [6, 1]], 1/9155955916800],
[[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 17/49662885888000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 161/2837879193600],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 2251/1471492915200],
[[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 4091/3337345931673600],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 281/1668672965836800],
[[[1, 2], [2, 1], [3, 2], [4, 3], [9, 2]], 1/373248],
[[[1, 2], [2, 1], [3, 2], [7, 1], [9, 2]], 1/6804],
[[[1, 2], [2, 1], [3, 3], [4, 2], [9, 2]], 1/93312],
[[[1, 2], [2, 1], [3, 3], [4, 3], [11, 1]], 1/10948608],
[[[1, 2], [2, 1], [3, 3], [5, 1], [7, 2]], 1/635040],
[[[1, 2], [2, 1], [3, 3], [7, 1], [11, 1]], 1/199584],
[[[1, 2], [2, 1], [3, 4], [4, 2], [11, 1]], 1/2737152],
[[[1, 2], [2, 1], [3, 5], [4, 3], [9, 1]], 1/26873856],
[[[1, 2], [2, 1], [3, 5], [7, 1], [9, 1]], 1/489888],
[[[1, 2], [2, 1], [3, 6], [4, 2], [9, 1]], 1/6718464],
[[[1, 2], [2, 1], [4, 3], [6, 2], [18, 2]], 1/373248],
[[[1, 2], [2, 1], [4, 3], [6, 3], [22, 1]], 1/10948608],
[[[1, 2], [2, 1], [4, 3], [6, 5], [18, 1]], 1/26873856],
[[[1, 2], [2, 1], [4, 3], [9, 1], [11, 1]], 1/152064],
[[[1, 2], [2, 1], [4, 3], [18, 1], [22, 1]], 1/152064],
[[[1, 2], [2, 1], [5, 1], [7, 2], [9, 1]], 1/8820],
[[[1, 2], [2, 1], [7, 1], [9, 1], [11, 1]], 1/2772],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 7]], 1/26873856],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 6]], 1/107495424],
[[[1, 2], [2, 3], [3, 1], [4, 3], [9, 2]], 1/248832],
[[[1, 2], [2, 3], [3, 1], [4, 4], [22, 1]], 1/202752],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/8748],
[[[1, 2], [2, 3], [3, 1], [6, 4], [11, 1]], 1/228096],
[[[1, 2], [2, 3], [3, 1], [6, 4], [22, 1]], 1/256608],
[[[1, 2], [2, 3], [3, 1], [6, 6], [14, 1]], 1/1959552],
[[[1, 2], [2, 3], [3, 1], [6, 6], [18, 1]], 1/629856],
[[[1, 2], [2, 3], [3, 1], [6, 7], [8, 1]], 1/120932352],
[[[1, 2], [2, 3], [3, 1], [8, 2], [22, 1]], 1/8448],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 6]], 1/17915904],
[[[1, 2], [2, 3], [3, 2], [4, 2], [9, 2]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 5]], 1/214990848],
[[[1, 2], [2, 3], [3, 2], [4, 3], [11, 1]], 1/608256],
[[[1, 2], [2, 3], [3, 2], [5, 1], [9, 2]], 1/38880],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 1/69984],
[[[1, 2], [2, 3], [3, 2], [6, 2], [14, 2]], 1/84672],
[[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 1/69984],
[[[1, 2], [2, 3], [3, 2], [6, 3], [11, 1]], 1/114048],
[[[1, 2], [2, 3], [3, 2], [6, 3], [22, 1]], 1/2052864],
[[[1, 2], [2, 3], [3, 2], [6, 5], [14, 1]], 1/1306368],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1/5038848],
[[[1, 2], [2, 3], [3, 2], [6, 6], [8, 1]], 1/6718464],
[[[1, 2], [2, 3], [3, 2], [8, 1], [9, 2]], 7/186624],
[[[1, 2], [2, 3], [3, 2], [9, 2], [10, 1]], 1/19440],
[[[1, 2], [2, 3], [3, 2], [18, 1], [22, 1]], 1/28512],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 5]], 1/2985984],
[[[1, 2], [2, 3], [3, 3], [4, 2], [11, 1]], 1/811008],
[[[1, 2], [2, 3], [3, 3], [4, 3], [5, 2]], 1/99532800],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 4]], 5/23887872],
[[[1, 2], [2, 3], [3, 3], [4, 3], [8, 2]], 1/2654208],
[[[1, 2], [2, 3], [3, 3], [4, 4], [7, 1]], 1/27869184],
[[[1, 2], [2, 3], [3, 3], [4, 5], [8, 1]], 1/31850496],
[[[1, 2], [2, 3], [3, 3], [5, 1], [11, 1]], 1/1140480],
[[[1, 2], [2, 3], [3, 3], [5, 2], [7, 1]], 1/3628800],
[[[1, 2], [2, 3], [3, 3], [6, 1], [9, 2]], 1/34992],
[[[1, 2], [2, 3], [3, 3], [6, 2], [11, 1]], 1/2052864],
[[[1, 2], [2, 3], [3, 3], [6, 2], [22, 1]], 1/28512],
[[[1, 2], [2, 3], [3, 3], [6, 4], [7, 1]], 1/145152],
[[[1, 2], [2, 3], [3, 3], [6, 4], [9, 1]], 1/559872],
[[[1, 2], [2, 3], [3, 3], [6, 4], [14, 1]], 1/217728],
[[[1, 2], [2, 3], [3, 3], [6, 4], [18, 1]], 1/69984],
[[[1, 2], [2, 3], [3, 3], [6, 5], [8, 1]], 7/3359232],
[[[1, 2], [2, 3], [3, 3], [8, 1], [11, 1]], 7/5474304],
[[[1, 2], [2, 3], [3, 3], [10, 1], [11, 1]], 1/570240],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 4]], 1/995328],
[[[1, 2], [2, 3], [3, 4], [4, 3], [6, 3]], 1/11943936],
[[[1, 2], [2, 3], [3, 4], [4, 3], [7, 1]], 1/41803776],
[[[1, 2], [2, 3], [3, 4], [4, 3], [9, 1]], 13/17915904],
[[[1, 2], [2, 3], [3, 4], [4, 4], [5, 1]], 1/59719680],
[[[1, 2], [2, 3], [3, 4], [4, 4], [8, 1]], 1/5971968],
[[[1, 2], [2, 3], [3, 4], [6, 1], [11, 1]], 1/1026432],
[[[1, 2], [2, 3], [3, 4], [6, 1], [22, 1]], 1/228096],
[[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 1/279936],
[[[1, 2], [2, 3], [3, 4], [6, 3], [14, 1]], 1/145152],
[[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 1/559872],
[[[1, 2], [2, 3], [3, 4], [6, 4], [8, 1]], 1/373248],
[[[1, 2], [2, 3], [3, 5], [4, 2], [9, 1]], 1/1990656],
[[[1, 2], [2, 3], [3, 5], [4, 3], [6, 2]], 1/71663616],
[[[1, 2], [2, 3], [3, 5], [5, 1], [9, 1]], 1/2799360],
[[[1, 2], [2, 3], [3, 5], [6, 2], [7, 1]], 1/1306368],
[[[1, 2], [2, 3], [3, 5], [6, 2], [9, 1]], 1/5038848],
[[[1, 2], [2, 3], [3, 5], [6, 3], [8, 1]], 1/4478976],
[[[1, 2], [2, 3], [3, 5], [8, 1], [9, 1]], 7/13436928],
[[[1, 2], [2, 3], [3, 5], [9, 1], [10, 1]], 1/1399680],
[[[1, 2], [2, 3], [3, 6], [4, 2], [6, 2]], 1/17915904],
[[[1, 2], [2, 3], [3, 6], [4, 3], [6, 1]], 1/107495424],
[[[1, 2], [2, 3], [3, 6], [6, 1], [9, 1]], 1/2519424],
[[[1, 2], [2, 3], [3, 6], [6, 2], [8, 1]], 1/6718464],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 7]], 1/100776960],
[[[1, 2], [2, 3], [4, 1], [6, 3], [14, 2]], 1/508032],
[[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/15552],
[[[1, 2], [2, 3], [4, 1], [6, 4], [22, 1]], 1/456192],
[[[1, 2], [2, 3], [4, 1], [6, 5], [12, 2]], 1/1119744],
[[[1, 2], [2, 3], [4, 1], [6, 6], [18, 1]], 1/1119744],
[[[1, 2], [2, 3], [4, 1], [6, 7], [12, 1]], 1/60466176],
[[[1, 2], [2, 3], [4, 1], [8, 2], [22, 1]], 1/11264],
[[[1, 2], [2, 3], [4, 1], [14, 2], [18, 1]], 1/7056],
[[[1, 2], [2, 3], [4, 2], [6, 2], [18, 2]], 5/82944],
[[[1, 2], [2, 3], [4, 2], [6, 3], [22, 1]], 59/7299072],
[[[1, 2], [2, 3], [4, 2], [6, 4], [8, 2]], 1/1990656],
[[[1, 2], [2, 3], [4, 2], [6, 4], [10, 2]], 1/24883200],
[[[1, 2], [2, 3], [4, 2], [6, 5], [14, 1]], 1/10450944],
[[[1, 2], [2, 3], [4, 2], [6, 5], [18, 1]], 7/1990656],
[[[1, 2], [2, 3], [4, 2], [9, 1], [11, 1]], 1/11264],
[[[1, 2], [2, 3], [4, 2], [18, 1], [22, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 3], [5, 1], [11, 1]], 1/168960],
[[[1, 2], [2, 3], [4, 3], [5, 1], [22, 1]], 1/84480],
[[[1, 2], [2, 3], [4, 3], [5, 2], [7, 1]], 1/537600],
[[[1, 2], [2, 3], [4, 3], [5, 2], [9, 1]], 1/1382400],
[[[1, 2], [2, 3], [4, 3], [6, 1], [18, 2]], 1/186624],
[[[1, 2], [2, 3], [4, 3], [6, 2], [22, 1]], 1/456192],
[[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 1/2654208],
[[[1, 2], [2, 3], [4, 3], [6, 3], [10, 2]], 1/49766400],
[[[1, 2], [2, 3], [4, 3], [6, 4], [14, 1]], 1/5225472],
[[[1, 2], [2, 3], [4, 3], [6, 4], [18, 1]], 1/995328],
[[[1, 2], [2, 3], [4, 3], [6, 5], [8, 1]], 1/5971968],
[[[1, 2], [2, 3], [4, 3], [6, 5], [10, 1]], 7/89579520],
[[[1, 2], [2, 3], [4, 3], [6, 5], [12, 1]], 1/35831808],
[[[1, 2], [2, 3], [4, 3], [8, 1], [11, 1]], 1/135168],
[[[1, 2], [2, 3], [4, 3], [8, 1], [22, 1]], 1/135168],
[[[1, 2], [2, 3], [4, 3], [8, 2], [9, 1]], 1/36864],
[[[1, 2], [2, 3], [4, 3], [8, 2], [18, 1]], 1/36864],
[[[1, 2], [2, 3], [4, 3], [10, 1], [22, 1]], 1/84480],
[[[1, 2], [2, 3], [4, 3], [10, 2], [14, 1]], 1/268800],
[[[1, 2], [2, 3], [4, 3], [10, 2], [18, 1]], 1/691200],
[[[1, 2], [2, 3], [4, 3], [12, 1], [22, 1]], 1/50688],
[[[1, 2], [2, 3], [4, 4], [6, 1], [11, 1]], 1/202752],
[[[1, 2], [2, 3], [4, 4], [6, 3], [14, 1]], 1/27869184],
[[[1, 2], [2, 3], [4, 4], [6, 4], [8, 1]], 1/5971968],
[[[1, 2], [2, 3], [4, 4], [6, 4], [10, 1]], 1/59719680],
[[[1, 2], [2, 3], [4, 4], [7, 1], [9, 1]], 1/387072],
[[[1, 2], [2, 3], [4, 4], [14, 1], [18, 1]], 1/387072],
[[[1, 2], [2, 3], [4, 5], [6, 2], [18, 1]], 1/3981312],
[[[1, 2], [2, 3], [4, 5], [8, 1], [9, 1]], 1/442368],
[[[1, 2], [2, 3], [4, 5], [10, 1], [14, 1]], 1/5160960],
[[[1, 2], [2, 3], [5, 1], [6, 2], [18, 2]], 1/19440],
[[[1, 2], [2, 3], [5, 1], [6, 3], [22, 1]], 1/570240],
[[[1, 2], [2, 3], [5, 1], [6, 5], [18, 1]], 1/1399680],
[[[1, 2], [2, 3], [5, 1], [9, 1], [11, 1]], 1/15840],
[[[1, 2], [2, 3], [5, 1], [18, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 3], [5, 2], [7, 1], [9, 1]], 1/50400],
[[[1, 2], [2, 3], [6, 1], [8, 2], [11, 1]], 1/8448],
[[[1, 2], [2, 3], [6, 1], [14, 1], [18, 2]], 1/4536],
[[[1, 2], [2, 3], [6, 1], [14, 2], [18, 1]], 1/10584],
[[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 1/20736],
[[[1, 2], [2, 3], [6, 2], [9, 1], [11, 1]], 1/28512],
[[[1, 2], [2, 3], [6, 2], [10, 1], [14, 2]], 1/35280],
[[[1, 2], [2, 3], [6, 2], [10, 1], [18, 2]], 1/12960],
[[[1, 2], [2, 3], [6, 2], [12, 1], [14, 2]], 1/14112],
[[[1, 2], [2, 3], [6, 2], [14, 1], [22, 1]], 1/11088],
[[[1, 2], [2, 3], [6, 3], [8, 1], [22, 1]], 1/608256],
[[[1, 2], [2, 3], [6, 3], [10, 1], [22, 1]], 1/380160],
[[[1, 2], [2, 3], [6, 3], [10, 2], [14, 1]], 1/725760],
[[[1, 2], [2, 3], [6, 4], [14, 1], [18, 1]], 13/326592],
[[[1, 2], [2, 3], [6, 5], [8, 1], [18, 1]], 1/1492992],
[[[1, 2], [2, 3], [6, 5], [10, 1], [18, 1]], 1/933120],
[[[1, 2], [2, 3], [8, 1], [9, 1], [11, 1]], 7/76032],
[[[1, 2], [2, 3], [8, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 2], [2, 3], [8, 1], [14, 1], [22, 1]], 1/2464],
[[[1, 2], [2, 3], [8, 1], [18, 1], [22, 1]], 1/8448],
[[[1, 2], [2, 3], [9, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 2], [2, 3], [10, 1], [14, 1], [22, 1]], 1/3080],
[[[1, 2], [2, 3], [10, 1], [18, 1], [22, 1]], 1/5280],
[[[1, 2], [2, 3], [10, 2], [14, 1], [18, 1]], 1/10080],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 7]], 37/161243136],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 6]], 263/214990848],
[[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/9408],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 5]], 31/107495424],
[[[1, 2], [2, 5], [3, 1], [4, 3], [22, 1]], 5/202752],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 5/17915904],
[[[1, 2], [2, 5], [3, 1], [4, 4], [10, 2]], 1/1843200],
[[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 1/221184],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 1/15925248],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 1/42467328],
[[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 1/7077888],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 53/279936],
[[[1, 2], [2, 5], [3, 1], [6, 3], [11, 1]], 1/101376],
[[[1, 2], [2, 5], [3, 1], [6, 3], [22, 1]], 83/746496],
[[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 1/1492992],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/583200],
[[[1, 2], [2, 5], [3, 1], [6, 5], [14, 1]], 71/3919104],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 1069/20155392],
[[[1, 2], [2, 5], [3, 1], [6, 6], [8, 1]], 155/483729408],
[[[1, 2], [2, 5], [3, 1], [6, 6], [10, 1]], 31/33592320],
[[[1, 2], [2, 5], [3, 1], [6, 6], [12, 1]], 13/3359232],
[[[1, 2], [2, 5], [3, 1], [8, 1], [9, 2]], 1/124416],
[[[1, 2], [2, 5], [3, 1], [8, 1], [10, 3]], 1/32000],
[[[1, 2], [2, 5], [3, 1], [8, 2], [10, 2]], 1/76800],
[[[1, 2], [2, 5], [3, 1], [9, 1], [11, 1]], 1/456192],
[[[1, 2], [2, 5], [3, 1], [10, 1], [14, 2]], 1/35280],
[[[1, 2], [2, 5], [3, 1], [14, 1], [22, 1]], 1/11088],
[[[1, 2], [2, 5], [3, 1], [18, 1], [22, 1]], 1/114048],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 6]], 1/6718464],
[[[1, 2], [2, 5], [3, 2], [4, 1], [9, 2]], 7/2488320],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 5]], 91/35831808],
[[[1, 2], [2, 5], [3, 2], [4, 2], [22, 1]], 7/304128],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 4]], 137/53747712],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 7/3981312],
[[[1, 2], [2, 5], [3, 2], [4, 4], [9, 1]], 1/3981312],
[[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 1/1769472],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 5]], 1/11197440],
[[[1, 2], [2, 5], [3, 2], [6, 1], [9, 2]], 1/279936],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 1/192000],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 5/338688],
[[[1, 2], [2, 5], [3, 2], [6, 1], [18, 2]], 1/139968],
[[[1, 2], [2, 5], [3, 2], [6, 2], [11, 1]], 65/3649536],
[[[1, 2], [2, 5], [3, 2], [6, 2], [22, 1]], 925/5474304],
[[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 1/55296],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 1/291600],
[[[1, 2], [2, 5], [3, 2], [6, 4], [9, 1]], 1/186624],
[[[1, 2], [2, 5], [3, 2], [6, 4], [14, 1]], 137/3919104],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 1325/13436928],
[[[1, 2], [2, 5], [3, 2], [6, 5], [8, 1]], 169/107495424],
[[[1, 2], [2, 5], [3, 2], [6, 5], [10, 1]], 47/33592320],
[[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 17/839808],
[[[1, 2], [2, 5], [3, 2], [8, 1], [11, 1]], 1/304128],
[[[1, 2], [2, 5], [3, 2], [8, 2], [9, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [10, 1], [22, 1]], 1/31680],
[[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/100800],
[[[1, 2], [2, 5], [3, 2], [10, 2], [18, 1]], 1/259200],
[[[1, 2], [2, 5], [3, 2], [11, 1], [12, 1]], 1/608256],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 5]], 1/279936],
[[[1, 2], [2, 5], [3, 3], [4, 1], [11, 1]], 7/72990720],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 4]], 53/15925248],
[[[1, 2], [2, 5], [3, 3], [4, 2], [8, 2]], 7/15925248],
[[[1, 2], [2, 5], [3, 3], [4, 3], [6, 3]], 11/5971968],
[[[1, 2], [2, 5], [3, 3], [4, 4], [8, 1]], 7/15925248],
[[[1, 2], [2, 5], [3, 3], [4, 4], [10, 1]], 1/19906560],
[[[1, 2], [2, 5], [3, 3], [4, 4], [12, 1]], 1/11943936],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 4]], 1/829440],
[[[1, 2], [2, 5], [3, 3], [5, 1], [10, 2]], 1/1036800],
[[[1, 2], [2, 5], [3, 3], [5, 2], [8, 1]], 1/49766400],
[[[1, 2], [2, 5], [3, 3], [5, 2], [10, 1]], 1/2073600],
[[[1, 2], [2, 5], [3, 3], [6, 1], [11, 1]], 1/8211456],
[[[1, 2], [2, 5], [3, 3], [6, 1], [22, 1]], 1/912384],
[[[1, 2], [2, 5], [3, 3], [6, 2], [10, 2]], 1/64800],
[[[1, 2], [2, 5], [3, 3], [6, 3], [7, 1]], 1/72576],
[[[1, 2], [2, 5], [3, 3], [6, 3], [9, 1]], 11/746496],
[[[1, 2], [2, 5], [3, 3], [6, 3], [14, 1]], 5/145152],
[[[1, 2], [2, 5], [3, 3], [6, 3], [18, 1]], 53/2239488],
[[[1, 2], [2, 5], [3, 3], [6, 4], [8, 1]], 2035/107495424],
[[[1, 2], [2, 5], [3, 3], [6, 4], [10, 1]], 1/93312],
[[[1, 2], [2, 5], [3, 3], [6, 4], [12, 1]], 1/248832],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 4]], 1/1492992],
[[[1, 2], [2, 5], [3, 4], [4, 1], [8, 2]], 1/11943936],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 3]], 17/15925248],
[[[1, 2], [2, 5], [3, 4], [4, 3], [6, 2]], 5/11943936],
[[[1, 2], [2, 5], [3, 4], [4, 4], [6, 1]], 1/47775744],
[[[1, 2], [2, 5], [3, 4], [5, 1], [7, 1]], 1/104509440],
[[[1, 2], [2, 5], [3, 4], [6, 1], [10, 2]], 1/2073600],
[[[1, 2], [2, 5], [3, 4], [6, 2], [9, 1]], 65/8957952],
[[[1, 2], [2, 5], [3, 4], [6, 2], [14, 1]], 1/870912],
[[[1, 2], [2, 5], [3, 4], [6, 2], [18, 1]], 1/1119744],
[[[1, 2], [2, 5], [3, 4], [6, 3], [8, 1]], 49/5971968],
[[[1, 2], [2, 5], [3, 4], [6, 3], [10, 1]], 17/1492992],
[[[1, 2], [2, 5], [3, 4], [6, 3], [12, 1]], 1/124416],
[[[1, 2], [2, 5], [3, 4], [7, 1], [8, 1]], 1/20901888],
[[[1, 2], [2, 5], [3, 4], [8, 1], [9, 1]], 13/8957952],
[[[1, 2], [2, 5], [3, 4], [9, 1], [12, 1]], 1/1492992],
[[[1, 2], [2, 5], [3, 5], [4, 1], [6, 3]], 1/5971968],
[[[1, 2], [2, 5], [3, 5], [4, 1], [9, 1]], 7/179159040],
[[[1, 2], [2, 5], [3, 5], [4, 2], [6, 2]], 1/5308416],
[[[1, 2], [2, 5], [3, 5], [5, 1], [6, 2]], 1/7464960],
[[[1, 2], [2, 5], [3, 5], [6, 1], [9, 1]], 1/20155392],
[[[1, 2], [2, 5], [3, 5], [6, 2], [8, 1]], 7/35831808],
[[[1, 2], [2, 5], [3, 5], [6, 2], [10, 1]], 1/3732480],
[[[1, 2], [2, 5], [3, 6], [4, 1], [6, 2]], 1/26873856],
[[[1, 2], [2, 5], [3, 6], [6, 1], [8, 1]], 1/53747712],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 6]], 1/3149280],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 3/80000],
[[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 1/8000],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/21168],
[[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 29/165888],
[[[1, 2], [2, 5], [4, 1], [6, 3], [22, 1]], 791/14598144],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 1/1327104],
[[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/1036800],
[[[1, 2], [2, 5], [4, 1], [6, 4], [12, 2]], 1/139968],
[[[1, 2], [2, 5], [4, 1], [6, 5], [14, 1]], 11/5225472],
[[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 887/35831808],
[[[1, 2], [2, 5], [4, 1], [6, 6], [8, 1]], 5/13436928],
[[[1, 2], [2, 5], [4, 1], [6, 6], [10, 1]], 1/2799360],
[[[1, 2], [2, 5], [4, 1], [6, 6], [12, 1]], 145/120932352],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 3/128000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 1/6272],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 2], [2, 5], [4, 1], [9, 1], [11, 1]], 7/1013760],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 11/31360],
[[[1, 2], [2, 5], [4, 1], [10, 3], [12, 1]], 1/16000],
[[[1, 2], [2, 5], [4, 1], [14, 1], [22, 1]], 3/9856],
[[[1, 2], [2, 5], [4, 1], [18, 1], [22, 1]], 23/202752],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 5]], 1/7464960],
[[[1, 2], [2, 5], [4, 2], [5, 1], [22, 1]], 1/21120],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1/12288],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/128000],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/112896],
[[[1, 2], [2, 5], [4, 2], [6, 1], [18, 2]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [6, 2], [11, 1]], 1/50688],
[[[1, 2], [2, 5], [4, 2], [6, 2], [22, 1]], 19/608256],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 199/15925248],
[[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 119/24883200],
[[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 1/82944],
[[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 253/41803776],
[[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 1/46656],
[[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 1/663552],
[[[1, 2], [2, 5], [4, 2], [6, 5], [10, 1]], 97/59719680],
[[[1, 2], [2, 5], [4, 2], [6, 5], [12, 1]], 97/71663616],
[[[1, 2], [2, 5], [4, 2], [8, 1], [22, 1]], 7/67584],
[[[1, 2], [2, 5], [4, 2], [8, 2], [9, 1]], 7/221184],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/28672],
[[[1, 2], [2, 5], [4, 2], [8, 2], [18, 1]], 7/221184],
[[[1, 2], [2, 5], [4, 2], [10, 1], [11, 1]], 1/84480],
[[[1, 2], [2, 5], [4, 2], [10, 1], [22, 1]], 23/168960],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [4, 2], [10, 2], [18, 1]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [11, 1], [12, 1]], 1/50688],
[[[1, 2], [2, 5], [4, 2], [12, 1], [22, 1]], 1/16896],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 4]], 1/14929920],
[[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 3/512000],
[[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/102400],
[[[1, 2], [2, 5], [4, 3], [6, 1], [22, 1]], 71/1824768],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 19/442368],
[[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 173/16588800],
[[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 899/209018880],
[[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 563/26873856],
[[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 107/23887872],
[[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 193/89579520],
[[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 5/1492992],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 1/614400],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 3/40960],
[[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 1/230400],
[[[1, 2], [2, 5], [4, 3], [14, 1], [18, 1]], 29/2903040],
[[[1, 2], [2, 5], [4, 4], [5, 1], [7, 1]], 1/5160960],
[[[1, 2], [2, 5], [4, 4], [5, 1], [14, 1]], 1/215040],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 1/294912],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/737280],
[[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/1161216],
[[[1, 2], [2, 5], [4, 4], [6, 2], [18, 1]], 79/7962624],
[[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 49/47775744],
[[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 13/119439360],
[[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 7/2654208],
[[[1, 2], [2, 5], [4, 4], [8, 1], [9, 1]], 7/221184],
[[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 5/344064],
[[[1, 2], [2, 5], [4, 4], [8, 1], [18, 1]], 1/663552],
[[[1, 2], [2, 5], [4, 4], [9, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [4, 4], [9, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 1/163840],
[[[1, 2], [2, 5], [4, 4], [10, 1], [18, 1]], 1/1658880],
[[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/491520],
[[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 1/2949120],
[[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 1/774144],
[[[1, 2], [2, 5], [4, 5], [6, 1], [18, 1]], 1/1990656],
[[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 1/884736],
[[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 7/13271040],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 5/1769472],
[[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 1/8847360],
[[[1, 2], [2, 5], [5, 1], [6, 1], [18, 2]], 1/38880],
[[[1, 2], [2, 5], [5, 1], [6, 2], [22, 1]], 1/95040],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 11/5184000],
[[[1, 2], [2, 5], [5, 1], [6, 4], [14, 1]], 1/2177280],
[[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/186624],
[[[1, 2], [2, 5], [5, 1], [6, 5], [10, 1]], 7/9331200],
[[[1, 2], [2, 5], [5, 1], [6, 5], [12, 1]], 1/1866240],
[[[1, 2], [2, 5], [5, 1], [7, 1], [8, 2]], 1/215040],
[[[1, 2], [2, 5], [5, 1], [8, 1], [11, 1]], 1/84480],
[[[1, 2], [2, 5], [5, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 5], [5, 1], [10, 1], [22, 1]], 1/8800],
[[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/1750],
[[[1, 2], [2, 5], [5, 1], [10, 2], [18, 1]], 11/72000],
[[[1, 2], [2, 5], [5, 2], [7, 1], [8, 1]], 1/268800],
[[[1, 2], [2, 5], [5, 2], [8, 1], [9, 1]], 1/691200],
[[[1, 2], [2, 5], [5, 2], [9, 1], [10, 1]], 1/28800],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/4704],
[[[1, 2], [2, 5], [6, 1], [8, 1], [18, 2]], 1/20736],
[[[1, 2], [2, 5], [6, 1], [9, 1], [11, 1]], 1/114048],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 23/70560],
[[[1, 2], [2, 5], [6, 1], [10, 1], [18, 2]], 1/6480],
[[[1, 2], [2, 5], [6, 1], [10, 3], [12, 1]], 1/32000],
[[[1, 2], [2, 5], [6, 1], [12, 1], [14, 2]], 5/56448],
[[[1, 2], [2, 5], [6, 1], [14, 1], [22, 1]], 5/22176],
[[[1, 2], [2, 5], [6, 1], [18, 1], [22, 1]], 5/76032],
[[[1, 2], [2, 5], [6, 2], [8, 1], [22, 1]], 1/16896],
[[[1, 2], [2, 5], [6, 2], [8, 2], [18, 1]], 1/55296],
[[[1, 2], [2, 5], [6, 2], [10, 1], [22, 1]], 1/10560],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/10800],
[[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 43/259200],
[[[1, 2], [2, 5], [6, 2], [12, 1], [22, 1]], 5/101376],
[[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/4147200],
[[[1, 2], [2, 5], [6, 3], [10, 2], [12, 1]], 7/345600],
[[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 67/326592],
[[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 5/1741824],
[[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 19/746496],
[[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 65/3483648],
[[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 13/311040],
[[[1, 2], [2, 5], [6, 4], [12, 1], [14, 1]], 1/62208],
[[[1, 2], [2, 5], [6, 4], [12, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 5], [6, 5], [8, 1], [10, 1]], 1/4976640],
[[[1, 2], [2, 5], [6, 5], [8, 1], [12, 1]], 1/1990656],
[[[1, 2], [2, 5], [6, 5], [10, 1], [12, 1]], 1/1244160],
[[[1, 2], [2, 5], [8, 1], [10, 1], [22, 1]], 1/2816],
[[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 9/44800],
[[[1, 2], [2, 5], [8, 1], [10, 2], [18, 1]], 1/57600],
[[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 1/71680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 3659/1289945088],
[[[1, 2], [2, 7], [3, 1], [4, 1], [9, 2]], 1/4976640],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 13/384000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 11/282240],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 11/2211840],
[[[1, 2], [2, 7], [3, 1], [4, 2], [22, 1]], 49/2433024],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 11723/2149908480],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 7/1769472],
[[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 1/307200],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 413/143327232],
[[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 31/15482880],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 5/7962624],
[[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 1/21233664],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 101/576000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/15680],
[[[1, 2], [2, 7], [3, 1], [6, 1], [18, 2]], 1/559872],
[[[1, 2], [2, 7], [3, 1], [6, 2], [11, 1]], 107/48660480],
[[[1, 2], [2, 7], [3, 1], [6, 2], [22, 1]], 131/1368576],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 1/746496],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 2213/14929920],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 911/10450944],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1169/10077696],
[[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 2743/403107840],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 107/3317760],
[[[1, 2], [2, 7], [3, 1], [6, 5], [12, 1]], 1111/53747712],
[[[1, 2], [2, 7], [3, 1], [8, 1], [22, 1]], 37/54743040],
[[[1, 2], [2, 7], [3, 1], [8, 2], [14, 1]], 1/645120],
[[[1, 2], [2, 7], [3, 1], [10, 1], [22, 1]], 1/42240],
[[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/57600],
[[[1, 2], [2, 7], [3, 1], [10, 2], [18, 1]], 1/1036800],
[[[1, 2], [2, 7], [3, 1], [11, 1], [12, 1]], 1/24330240],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 4805/859963392],
[[[1, 2], [2, 7], [3, 2], [4, 1], [11, 1]], 1/12165120],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 2431/214990848],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 1/884736],
[[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 7/2764800],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1093/358318080],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 197/318504960],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 4]], 1/5598720],
[[[1, 2], [2, 7], [3, 2], [6, 1], [11, 1]], 1/1824768],
[[[1, 2], [2, 7], [3, 2], [6, 1], [22, 1]], 77/39813120],
[[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1/442368],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 12353/99532800],
[[[1, 2], [2, 7], [3, 2], [6, 3], [9, 1]], 1/746496],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 7057/89579520],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 192041/3224862720],
[[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 691/268738560],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 9263/134369280],
[[[1, 2], [2, 7], [3, 2], [6, 4], [12, 1]], 1787/107495424],
[[[1, 2], [2, 7], [3, 2], [14, 1], [18, 1]], 1/2177280],
[[[1, 2], [2, 7], [3, 3], [4, 1], [5, 2]], 1/1990656000],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 4]], 16619/1433272320],
[[[1, 2], [2, 7], [3, 3], [4, 1], [8, 2]], 1/31850496],
[[[1, 2], [2, 7], [3, 3], [4, 2], [6, 3]], 167/39813120],
[[[1, 2], [2, 7], [3, 3], [4, 2], [7, 1]], 1/557383680],
[[[1, 2], [2, 7], [3, 3], [4, 3], [6, 2]], 23/238878720],
[[[1, 2], [2, 7], [3, 3], [4, 3], [8, 1]], 73/1911029760],
[[[1, 2], [2, 7], [3, 3], [4, 4], [6, 1]], 1/95551488],
[[[1, 2], [2, 7], [3, 3], [5, 1], [6, 3]], 1/414720],
[[[1, 2], [2, 7], [3, 3], [5, 1], [7, 1]], 1/4180377600],
[[[1, 2], [2, 7], [3, 3], [6, 1], [10, 2]], 1/8294400],
[[[1, 2], [2, 7], [3, 3], [6, 2], [9, 1]], 49/39813120],
[[[1, 2], [2, 7], [3, 3], [6, 2], [14, 1]], 1/165888],
[[[1, 2], [2, 7], [3, 3], [6, 2], [18, 1]], 1/4478976],
[[[1, 2], [2, 7], [3, 3], [6, 3], [8, 1]], 511/89579520],
[[[1, 2], [2, 7], [3, 3], [6, 3], [10, 1]], 169/9953280],
[[[1, 2], [2, 7], [3, 3], [6, 3], [12, 1]], 1/995328],
[[[1, 2], [2, 7], [3, 3], [9, 1], [12, 1]], 1/59719680],
[[[1, 2], [2, 7], [3, 4], [4, 1], [6, 3]], 481/238878720],
[[[1, 2], [2, 7], [3, 4], [4, 1], [7, 1]], 1/836075520],
[[[1, 2], [2, 7], [3, 4], [4, 1], [9, 1]], 13/358318080],
[[[1, 2], [2, 7], [3, 4], [4, 2], [5, 1]], 1/1194393600],
[[[1, 2], [2, 7], [3, 4], [4, 2], [6, 2]], 1/11943936],
[[[1, 2], [2, 7], [3, 4], [4, 2], [8, 1]], 1/79626240],
[[[1, 2], [2, 7], [3, 4], [5, 1], [10, 1]], 1/59719680],
[[[1, 2], [2, 7], [3, 4], [6, 1], [9, 1]], 1/4478976],
[[[1, 2], [2, 7], [3, 4], [6, 1], [14, 1]], 1/17418240],
[[[1, 2], [2, 7], [3, 4], [6, 2], [8, 1]], 13/14929920],
[[[1, 2], [2, 7], [3, 4], [6, 2], [10, 1]], 1/7464960],
[[[1, 2], [2, 7], [3, 4], [6, 2], [12, 1]], 1/3981312],
[[[1, 2], [2, 7], [3, 5], [4, 1], [6, 2]], 7/477757440],
[[[1, 2], [2, 7], [3, 6], [4, 1], [6, 1]], 1/2149908480],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 179/167961600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [11, 1]], 1/3379200],
[[[1, 2], [2, 7], [4, 1], [5, 1], [22, 1]], 37/45619200],
[[[1, 2], [2, 7], [4, 1], [5, 2], [7, 1]], 1/10752000],
[[[1, 2], [2, 7], [4, 1], [5, 2], [9, 1]], 1/27648000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 17/192000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 25/169344],
[[[1, 2], [2, 7], [4, 1], [6, 1], [18, 2]], 1/31104],
[[[1, 2], [2, 7], [4, 1], [6, 2], [22, 1]], 1/11264],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 251/10616832],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1327/22118400],
[[[1, 2], [2, 7], [4, 1], [6, 3], [12, 2]], 1/466560],
[[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 1901/52254720],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 2455/35831808],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 295/35831808],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1357/119439360],
[[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 75041/6449725440],
[[[1, 2], [2, 7], [4, 1], [8, 1], [11, 1]], 13/8110080],
[[[1, 2], [2, 7], [4, 1], [8, 1], [22, 1]], 259/8110080],
[[[1, 2], [2, 7], [4, 1], [8, 2], [9, 1]], 1/442368],
[[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 31/860160],
[[[1, 2], [2, 7], [4, 1], [8, 2], [18, 1]], 1/442368],
[[[1, 2], [2, 7], [4, 1], [10, 1], [22, 1]], 23/112640],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 373/1075200],
[[[1, 2], [2, 7], [4, 1], [10, 2], [18, 1]], 1/20480],
[[[1, 2], [2, 7], [4, 1], [12, 1], [22, 1]], 37/27371520],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/921600],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1/245760],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 51/1024000],
[[[1, 2], [2, 7], [4, 2], [6, 1], [11, 1]], 1/368640],
[[[1, 2], [2, 7], [4, 2], [6, 1], [22, 1]], 193/3041280],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 7/331776],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 491/8294400],
[[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 1/829440],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 39157/1672151040],
[[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 7/116640],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 313/26542080],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 13559/1194393600],
[[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 1457/89579520],
[[[1, 2], [2, 7], [4, 2], [7, 1], [9, 1]], 1/7741440],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 41/614400],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/24576],
[[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 11/460800],
[[[1, 2], [2, 7], [4, 2], [14, 1], [18, 1]], 373/23224320],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 3]], 1/1866240],
[[[1, 2], [2, 7], [4, 3], [5, 1], [14, 1]], 11/6451200],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 59/1769472],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 221/8294400],
[[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 133/4976640],
[[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 36233/1074954240],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1393/127401984],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 22957/1567641600],
[[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 739/179159040],
[[[1, 2], [2, 7], [4, 3], [8, 1], [9, 1]], 73/26542080],
[[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 143/5160960],
[[[1, 2], [2, 7], [4, 3], [8, 1], [18, 1]], 19/5308416],
[[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 49577/1393459200],
[[[1, 2], [2, 7], [4, 3], [10, 1], [18, 1]], 67/21772800],
[[[1, 2], [2, 7], [4, 3], [12, 1], [14, 1]], 11/3870720],
[[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 1/1105920],
[[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 1/1474560],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 41/14745600],
[[[1, 2], [2, 7], [4, 4], [6, 1], [9, 1]], 1/1327104],
[[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 5/290304],
[[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 91/19906560],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 79/3981312],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 151/15925248],
[[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 7/3317760],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 1/98304],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 7/884736],
[[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 5/1769472],
[[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 19/13271040],
[[[1, 2], [2, 7], [5, 1], [6, 1], [22, 1]], 1/190080],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 151/1728000],
[[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 121/43545600],
[[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/174960],
[[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1531/149299200],
[[[1, 2], [2, 7], [5, 1], [6, 4], [12, 1]], 1/933120],
[[[1, 2], [2, 7], [5, 1], [7, 1], [9, 1]], 1/58060800],
[[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 3/51200],
[[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 2], [2, 7], [5, 1], [14, 1], [18, 1]], 1/604800],
[[[1, 2], [2, 7], [5, 2], [8, 1], [10, 1]], 1/153600],
[[[1, 2], [2, 7], [6, 1], [8, 1], [22, 1]], 19/405504],
[[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 1/86016],
[[[1, 2], [2, 7], [6, 1], [8, 2], [18, 1]], 1/110592],
[[[1, 2], [2, 7], [6, 1], [10, 1], [22, 1]], 83/506880],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1913/4838400],
[[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1099/4147200],
[[[1, 2], [2, 7], [6, 1], [12, 1], [22, 1]], 23/8110080],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 151/2764800],
[[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [6, 2], [10, 2], [12, 1]], 47/1105920],
[[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 167/967680],
[[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 899/19906560],
[[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 179/2985984],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 39611/278691840],
[[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 127/746496],
[[[1, 2], [2, 7], [6, 3], [12, 1], [14, 1]], 95/2322432],
[[[1, 2], [2, 7], [6, 3], [12, 1], [18, 1]], 161/6635520],
[[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 187/19906560],
[[[1, 2], [2, 7], [6, 4], [8, 1], [12, 1]], 1/497664],
[[[1, 2], [2, 7], [6, 4], [10, 1], [12, 1]], 49/2488320],
[[[1, 2], [2, 7], [8, 1], [14, 1], [18, 1]], 13/1935360],
[[[1, 2], [2, 7], [10, 1], [14, 1], [18, 1]], 47/774144],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7559/716636160],
[[[1, 2], [2, 9], [3, 1], [4, 1], [22, 1]], 1/2322432],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 37129/4299816960],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 193/22118400],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 26477/4299816960],
[[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 1/1032192],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 8681/7644119040],
[[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 1/3538944],
[[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 211/464486400],
[[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 1/141557760],
[[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 23/318504960],
[[[1, 2], [2, 9], [3, 1], [6, 1], [11, 1]], 1/72990720],
[[[1, 2], [2, 9], [3, 1], [6, 1], [22, 1]], 5821/2299207680],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 1/9953280],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 6749/49766400],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 113/1990656],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 8765/250822656],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1141753/135444234240],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 577793/8360755200],
[[[1, 2], [2, 9], [3, 1], [6, 4], [12, 1]], 90883/15049359360],
[[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 1789/1741824000],
[[[1, 2], [2, 9], [3, 1], [8, 2], [10, 1]], 1/19353600],
[[[1, 2], [2, 9], [3, 1], [14, 1], [18, 1]], 1/8709120],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 341/53747712],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 302129/60197437440],
[[[1, 2], [2, 9], [3, 2], [4, 2], [9, 1]], 1/79626240],
[[[1, 2], [2, 9], [3, 2], [4, 2], [14, 1]], 1/3317760],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 36887/60197437440],
[[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1/35389440],
[[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 53/8918138880],
[[[1, 2], [2, 9], [3, 2], [5, 1], [6, 3]], 1/74649600],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 24677/13934592000],
[[[1, 2], [2, 9], [3, 2], [6, 2], [9, 1]], 1/119439360],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1009/243855360],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 4465/4514807808],
[[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 659/1074954240],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 2703829/75246796800],
[[[1, 2], [2, 9], [3, 2], [6, 3], [12, 1]], 853/2006581248],
[[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 31/74649600],
[[[1, 2], [2, 9], [3, 2], [10, 1], [18, 1]], 1/65318400],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 3]], 17/19906560],
[[[1, 2], [2, 9], [3, 3], [4, 2], [6, 2]], 23/477757440],
[[[1, 2], [2, 9], [3, 3], [4, 2], [8, 1]], 1/955514880],
[[[1, 2], [2, 9], [3, 3], [5, 1], [10, 1]], 1/2388787200],
[[[1, 2], [2, 9], [3, 3], [6, 1], [9, 1]], 1/179159040],
[[[1, 2], [2, 9], [3, 3], [6, 1], [14, 1]], 1/69672960],
[[[1, 2], [2, 9], [3, 3], [6, 2], [8, 1]], 263/15049359360],
[[[1, 2], [2, 9], [3, 3], [6, 2], [10, 1]], 1859/2786918400],
[[[1, 2], [2, 9], [3, 3], [6, 2], [12, 1]], 1/159252480],
[[[1, 2], [2, 9], [3, 4], [4, 1], [6, 2]], 7/238878720],
[[[1, 2], [2, 9], [3, 4], [4, 2], [6, 1]], 1/955514880],
[[[1, 2], [2, 9], [3, 4], [6, 1], [10, 1]], 1/522547200],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 2717/3527193600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 106381/5806080000],
[[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 29/165888000],
[[[1, 2], [2, 9], [4, 1], [6, 1], [22, 1]], 31/1658880],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 49/8847360],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 2683/22118400],
[[[1, 2], [2, 9], [4, 1], [6, 2], [12, 2]], 37/627056640],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 64153/1170505728],
[[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 8191/179159040],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 151943/10032906240],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 7691/199065600],
[[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 277643/33861058560],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 14653/290304000],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 359/51609600],
[[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 1789/870912000],
[[[1, 2], [2, 9], [4, 1], [14, 1], [18, 1]], 347/81285120],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 8513/8360755200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [7, 1]], 1/103219200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 73/116121600],
[[[1, 2], [2, 9], [4, 2], [5, 1], [18, 1]], 1/116121600],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 107/31850496],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 163087/3483648000],
[[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 1/92897280],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 59/1492992],
[[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 2389/111476736],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 65657/4459069440],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 149911/4180377600],
[[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 2669/627056640],
[[[1, 2], [2, 9], [4, 2], [8, 1], [9, 1]], 1/13271040],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 299/26542080],
[[[1, 2], [2, 9], [4, 2], [8, 1], [18, 1]], 187/185794560],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 7151/185794560],
[[[1, 2], [2, 9], [4, 2], [10, 1], [18, 1]], 31/11612160],
[[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 11/13934592],
[[[1, 2], [2, 9], [4, 2], [12, 1], [18, 1]], 1/69672960],
[[[1, 2], [2, 9], [4, 3], [5, 1], [6, 2]], 1/6220800],
[[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/9830400],
[[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 38623/27869184000],
[[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 11447/836075520],
[[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 14461/2508226560],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 937/119439360],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 429383/25082265600],
[[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 6311/10032906240],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 1481/154828800],
[[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 11/58060800],
[[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 1/11059200],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 1921/477757440],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 2299/477757440],
[[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 277/1486356480],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 481/13824000],
[[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 11/7257600],
[[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 133/111974400],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 217211/20901888000],
[[[1, 2], [2, 9], [5, 1], [6, 3], [12, 1]], 1/12441600],
[[[1, 2], [2, 9], [5, 1], [9, 1], [10, 1]], 1/33177600],
[[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 407/145152000],
[[[1, 2], [2, 9], [5, 1], [10, 1], [18, 1]], 71/290304000],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 199/5529600],
[[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 2], [2, 9], [6, 1], [10, 2], [12, 1]], 2999/774144000],
[[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 473/36578304],
[[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 293/11612160],
[[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 2701/209018880],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 13679/101606400],
[[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 86453/1045094400],
[[[1, 2], [2, 9], [6, 2], [12, 1], [14, 1]], 29/5080320],
[[[1, 2], [2, 9], [6, 2], [12, 1], [18, 1]], 17/23224320],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 8017/348364800],
[[[1, 2], [2, 9], [6, 3], [8, 1], [12, 1]], 1/2211840],
[[[1, 2], [2, 9], [6, 3], [10, 1], [12, 1]], 737/66355200],
[[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 6151/270950400],
[[[1, 2], [2, 9], [8, 1], [10, 1], [18, 1]], 1/2419200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 188213/36118462464],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 1/955514880],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 2797/3483648000],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 226819/120394874880],
[[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 1117/3901685760],
[[[1, 2], [2, 11], [3, 1], [4, 2], [18, 1]], 1/557383680],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 9547/15049359360],
[[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 1/212336640],
[[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 13/232243200],
[[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 673/11466178560],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 1/836075520],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 269957/41803776000],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 2291/501645312],
[[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 3715/4514807808],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 25292147/29797731532800],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 17371/940584960],
[[[1, 2], [2, 11], [3, 1], [6, 3], [12, 1]], 1579/7524679680],
[[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 47/4180377600],
[[[1, 2], [2, 11], [3, 1], [8, 1], [18, 1]], 67/413857382400],
[[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 641/1828915200],
[[[1, 2], [2, 11], [3, 1], [10, 1], [18, 1]], 1/261273600],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 9127/15049359360],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 227/1857945600],
[[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 1/99532800],
[[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 358661/26486872473600],
[[[1, 2], [2, 11], [3, 2], [5, 1], [6, 2]], 1/6270566400],
[[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 601/17557585920],
[[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/627056640],
[[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 949/60197437440],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 65729/75246796800],
[[[1, 2], [2, 11], [3, 2], [6, 2], [12, 1]], 1/3762339840],
[[[1, 2], [2, 11], [3, 3], [4, 1], [6, 2]], 23/2866544640],
[[[1, 2], [2, 11], [3, 3], [4, 2], [6, 1]], 1/4459069440],
[[[1, 2], [2, 11], [3, 3], [6, 1], [8, 1]], 67/3310859059200],
[[[1, 2], [2, 11], [3, 3], [6, 1], [10, 1]], 1/2090188800],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 2791427/24831442944000],
[[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 47/3483648000],
[[[1, 2], [2, 11], [4, 1], [5, 1], [18, 1]], 67/344881152000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 41/148635648],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 4601/165888000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [12, 2]], 67/275904921600],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 38723/2926264320],
[[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 110111/20065812480],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 9382679/2407897497600],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 169339/7166361600],
[[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 12004367/14898865766400],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 61/90316800],
[[[1, 2], [2, 11], [4, 1], [8, 1], [18, 1]], 919/33443020800],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 706669/78033715200],
[[[1, 2], [2, 11], [4, 1], [10, 1], [18, 1]], 7/19906560],
[[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 47/2090188800],
[[[1, 2], [2, 11], [4, 1], [12, 1], [18, 1]], 67/206928691200],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 173/2090188800],
[[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 1/796262400],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 163/2064384000],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 517247/117050572800],
[[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 20029/16721510400],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 137/53084160],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 187553/16721510400],
[[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 25633/100329062400],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 12811/5573836800],
[[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/477757440],
[[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 11/261273600],
[[[1, 2], [2, 11], [4, 3], [5, 1], [6, 1]], 37/8360755200],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 9599/13377208320],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 281153/100329062400],
[[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 6509/490497638400],
[[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 13/174182400],
[[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/174182400],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 59081/41803776000],
[[[1, 2], [2, 11], [5, 1], [6, 2], [12, 1]], 1/1045094400],
[[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 1/116121600],
[[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 2881/1950842880],
[[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 131/836075520],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 80177/4877107200],
[[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 341/116121600],
[[[1, 2], [2, 11], [6, 1], [12, 1], [14, 1]], 79/975421440],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 6047/1393459200],
[[[1, 2], [2, 11], [6, 2], [8, 1], [12, 1]], 13/1114767360],
[[[1, 2], [2, 11], [6, 2], [10, 1], [12, 1]], 23/34836480],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 260947/620786073600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 2389/321889075200],
[[[1, 2], [2, 13], [3, 1], [4, 1], [18, 1]], 23/551809843200],
[[[1, 2], [2, 13], [3, 1], [4, 2], [5, 1]], 1/459841536000],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 15031/183936614400],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 3109/4414478745600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 61/4180377600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [12, 1]], 1/275904921600],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 289/29561241600],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 317/6437781504],
[[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 5659/2483144294400],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 43397/2483144294400],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 12287/16721510400],
[[[1, 2], [2, 13], [3, 1], [6, 2], [12, 1]], 557/472979865600],
[[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 421/689762304000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 39211/3310859059200],
[[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 1/551809843200],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 377/963158999040],
[[[1, 2], [2, 13], [3, 2], [5, 1], [6, 1]], 1/2759049216000],
[[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 1487/26486872473600],
[[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 69043/33108590592000],
[[[1, 2], [2, 13], [3, 2], [6, 1], [12, 1]], 1/1655429529600],
[[[1, 2], [2, 13], [3, 3], [4, 1], [6, 1]], 23/4414478745600],
[[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 6767/2069286912000],
[[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 1/306561024000],
[[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 123469/36787322880000],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 67691/117050572800],
[[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 4889/78829977600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 566633/2207239372800],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 183661/66886041600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 86927/4966288588800],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 24217/306561024000],
[[[1, 2], [2, 13], [4, 1], [8, 1], [12, 1]], 1/183936614400],
[[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 421/344881152000],
[[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/995328000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 541/5449973760],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 5346961/7357464576000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 1949/802632499200],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 1969/83607552000],
[[[1, 2], [2, 13], [5, 1], [6, 1], [12, 1]], 1/459841536000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 49/398131200],
[[[1, 2], [2, 13], [6, 1], [8, 1], [12, 1]], 23/490497638400],
[[[1, 2], [2, 13], [6, 1], [10, 1], [12, 1]], 3467/613122048000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 49/6569164800],
[[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/267544166400],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 1277/3218890752000],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 53/75676778496],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 7963/119190926131200],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 248081/51502252032000],
[[[1, 2], [2, 15], [3, 1], [6, 1], [12, 1]], 1/6621718118400],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 28571/741632429260800],
[[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 1241/49662885888000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 4273/1261279641600],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 22183/350355456000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 296537/3337345931673600],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 953/31784246968320],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 6]], 1/107495424],
[[[1, 3], [2, 2], [3, 1], [4, 3], [9, 2]], 1/186624],
[[[1, 3], [2, 2], [3, 1], [4, 4], [22, 1]], 1/202752],
[[[1, 3], [2, 2], [3, 1], [6, 3], [18, 2]], 1/34992],
[[[1, 3], [2, 2], [3, 1], [6, 4], [11, 1]], 1/228096],
[[[1, 3], [2, 2], [3, 1], [6, 4], [22, 1]], 1/1026432],
[[[1, 3], [2, 2], [3, 1], [6, 6], [18, 1]], 1/2519424],
[[[1, 3], [2, 2], [3, 1], [7, 1], [9, 2]], 1/4536],
[[[1, 3], [2, 2], [3, 1], [7, 2], [9, 1]], 1/10584],
[[[1, 3], [2, 2], [3, 1], [8, 2], [22, 1]], 1/8448],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 6]], 1/17915904],
[[[1, 3], [2, 2], [3, 2], [4, 2], [9, 2]], 5/82944],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 5]], 1/71663616],
[[[1, 3], [2, 2], [3, 2], [4, 3], [11, 1]], 1/456192],
[[[1, 3], [2, 2], [3, 2], [4, 5], [9, 1]], 1/3981312],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 2]], 1/35280],
[[[1, 3], [2, 2], [3, 2], [5, 1], [9, 2]], 1/12960],
[[[1, 3], [2, 2], [3, 2], [6, 2], [7, 2]], 1/84672],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 1/69984],
[[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 1/69984],
[[[1, 3], [2, 2], [3, 2], [6, 3], [11, 1]], 1/28512],
[[[1, 3], [2, 2], [3, 2], [6, 3], [22, 1]], 1/2052864],
[[[1, 3], [2, 2], [3, 2], [6, 5], [14, 1]], 1/1306368],
[[[1, 3], [2, 2], [3, 2], [6, 5], [18, 1]], 1/5038848],
[[[1, 3], [2, 2], [3, 2], [6, 6], [8, 1]], 1/6718464],
[[[1, 3], [2, 2], [3, 2], [7, 1], [11, 1]], 1/11088],
[[[1, 3], [2, 2], [3, 2], [7, 2], [12, 1]], 1/14112],
[[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 1/20736],
[[[1, 3], [2, 2], [3, 2], [9, 2], [10, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 2], [18, 1], [22, 1]], 1/28512],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 2]], 1/508032],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/15552],
[[[1, 3], [2, 2], [3, 3], [4, 2], [11, 1]], 59/7299072],
[[[1, 3], [2, 2], [3, 3], [4, 3], [5, 2]], 1/49766400],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 4]], 1/11943936],
[[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 1/2654208],
[[[1, 3], [2, 2], [3, 3], [4, 4], [7, 1]], 1/27869184],
[[[1, 3], [2, 2], [3, 3], [5, 1], [11, 1]], 1/380160],
[[[1, 3], [2, 2], [3, 3], [5, 2], [7, 1]], 1/725760],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/8748],
[[[1, 3], [2, 2], [3, 3], [6, 2], [11, 1]], 1/2052864],
[[[1, 3], [2, 2], [3, 3], [6, 2], [22, 1]], 1/114048],
[[[1, 3], [2, 2], [3, 3], [6, 4], [7, 1]], 1/145152],
[[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 1/559872],
[[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 1/279936],
[[[1, 3], [2, 2], [3, 3], [6, 5], [8, 1]], 1/4478976],
[[[1, 3], [2, 2], [3, 3], [8, 1], [11, 1]], 1/608256],
[[[1, 3], [2, 2], [3, 3], [10, 1], [11, 1]], 1/570240],
[[[1, 3], [2, 2], [3, 4], [4, 1], [11, 1]], 1/456192],
[[[1, 3], [2, 2], [3, 4], [4, 2], [5, 2]], 1/24883200],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 4]], 1/995328],
[[[1, 3], [2, 2], [3, 4], [4, 2], [8, 2]], 1/1990656],
[[[1, 3], [2, 2], [3, 4], [4, 3], [6, 3]], 5/23887872],
[[[1, 3], [2, 2], [3, 4], [4, 3], [7, 1]], 1/5225472],
[[[1, 3], [2, 2], [3, 4], [4, 3], [9, 1]], 1/995328],
[[[1, 3], [2, 2], [3, 4], [4, 4], [5, 1]], 1/59719680],
[[[1, 3], [2, 2], [3, 4], [4, 4], [8, 1]], 1/5971968],
[[[1, 3], [2, 2], [3, 4], [6, 1], [11, 1]], 1/256608],
[[[1, 3], [2, 2], [3, 4], [6, 1], [22, 1]], 1/228096],
[[[1, 3], [2, 2], [3, 4], [6, 3], [7, 1]], 1/217728],
[[[1, 3], [2, 2], [3, 4], [6, 3], [9, 1]], 1/69984],
[[[1, 3], [2, 2], [3, 4], [6, 3], [14, 1]], 1/145152],
[[[1, 3], [2, 2], [3, 4], [6, 3], [18, 1]], 1/559872],
[[[1, 3], [2, 2], [3, 4], [6, 4], [8, 1]], 1/373248],
[[[1, 3], [2, 2], [3, 4], [7, 1], [9, 1]], 13/326592],
[[[1, 3], [2, 2], [3, 5], [4, 1], [12, 2]], 1/1119744],
[[[1, 3], [2, 2], [3, 5], [4, 2], [6, 3]], 1/2985984],
[[[1, 3], [2, 2], [3, 5], [4, 2], [7, 1]], 1/10450944],
[[[1, 3], [2, 2], [3, 5], [4, 2], [9, 1]], 7/1990656],
[[[1, 3], [2, 2], [3, 5], [4, 3], [5, 1]], 7/89579520],
[[[1, 3], [2, 2], [3, 5], [4, 3], [6, 2]], 1/214990848],
[[[1, 3], [2, 2], [3, 5], [4, 3], [8, 1]], 1/5971968],
[[[1, 3], [2, 2], [3, 5], [4, 3], [12, 1]], 1/35831808],
[[[1, 3], [2, 2], [3, 5], [5, 1], [9, 1]], 1/933120],
[[[1, 3], [2, 2], [3, 5], [6, 2], [7, 1]], 1/1306368],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1/5038848],
[[[1, 3], [2, 2], [3, 5], [6, 3], [8, 1]], 7/3359232],
[[[1, 3], [2, 2], [3, 5], [8, 1], [9, 1]], 1/1492992],
[[[1, 3], [2, 2], [3, 5], [9, 1], [10, 1]], 1/1399680],
[[[1, 3], [2, 2], [3, 6], [4, 1], [9, 1]], 1/1119744],
[[[1, 3], [2, 2], [3, 6], [4, 2], [6, 2]], 1/17915904],
[[[1, 3], [2, 2], [3, 6], [4, 3], [6, 1]], 1/107495424],
[[[1, 3], [2, 2], [3, 6], [6, 1], [7, 1]], 1/1959552],
[[[1, 3], [2, 2], [3, 6], [6, 1], [9, 1]], 1/629856],
[[[1, 3], [2, 2], [3, 6], [6, 2], [8, 1]], 1/6718464],
[[[1, 3], [2, 2], [3, 7], [4, 1], [10, 1]], 1/100776960],
[[[1, 3], [2, 2], [3, 7], [4, 1], [12, 1]], 1/60466176],
[[[1, 3], [2, 2], [3, 7], [4, 2], [6, 1]], 1/26873856],
[[[1, 3], [2, 2], [3, 7], [6, 1], [8, 1]], 1/120932352],
[[[1, 3], [2, 2], [4, 1], [7, 2], [9, 1]], 1/7056],
[[[1, 3], [2, 2], [4, 1], [8, 2], [11, 1]], 1/11264],
[[[1, 3], [2, 2], [4, 2], [6, 2], [18, 2]], 1/27648],
[[[1, 3], [2, 2], [4, 2], [6, 3], [22, 1]], 1/811008],
[[[1, 3], [2, 2], [4, 2], [6, 5], [18, 1]], 1/1990656],
[[[1, 3], [2, 2], [4, 2], [9, 1], [11, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 2], [18, 1], [22, 1]], 1/11264],
[[[1, 3], [2, 2], [4, 3], [5, 1], [11, 1]], 1/84480],
[[[1, 3], [2, 2], [4, 3], [5, 2], [7, 1]], 1/268800],
[[[1, 3], [2, 2], [4, 3], [5, 2], [9, 1]], 1/691200],
[[[1, 3], [2, 2], [4, 3], [6, 1], [18, 2]], 1/248832],
[[[1, 3], [2, 2], [4, 3], [6, 2], [22, 1]], 1/608256],
[[[1, 3], [2, 2], [4, 3], [6, 3], [8, 2]], 1/2654208],
[[[1, 3], [2, 2], [4, 3], [6, 3], [10, 2]], 1/99532800],
[[[1, 3], [2, 2], [4, 3], [6, 4], [14, 1]], 1/41803776],
[[[1, 3], [2, 2], [4, 3], [6, 4], [18, 1]], 13/17915904],
[[[1, 3], [2, 2], [4, 3], [8, 1], [11, 1]], 1/135168],
[[[1, 3], [2, 2], [4, 3], [8, 1], [22, 1]], 1/135168],
[[[1, 3], [2, 2], [4, 3], [8, 2], [9, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 3], [8, 2], [18, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 3], [10, 1], [11, 1]], 1/84480],
[[[1, 3], [2, 2], [4, 3], [10, 1], [22, 1]], 1/168960],
[[[1, 3], [2, 2], [4, 3], [10, 2], [14, 1]], 1/537600],
[[[1, 3], [2, 2], [4, 3], [10, 2], [18, 1]], 1/1382400],
[[[1, 3], [2, 2], [4, 3], [11, 1], [12, 1]], 1/50688],
[[[1, 3], [2, 2], [4, 4], [6, 1], [11, 1]], 1/202752],
[[[1, 3], [2, 2], [4, 4], [6, 3], [14, 1]], 1/27869184],
[[[1, 3], [2, 2], [4, 4], [6, 4], [8, 1]], 1/5971968],
[[[1, 3], [2, 2], [4, 4], [6, 4], [10, 1]], 1/59719680],
[[[1, 3], [2, 2], [4, 4], [7, 1], [9, 1]], 1/387072],
[[[1, 3], [2, 2], [4, 4], [14, 1], [18, 1]], 1/387072],
[[[1, 3], [2, 2], [4, 5], [5, 1], [7, 1]], 1/5160960],
[[[1, 3], [2, 2], [4, 5], [6, 3], [8, 1]], 1/31850496],
[[[1, 3], [2, 2], [4, 5], [8, 1], [18, 1]], 1/442368],
[[[1, 3], [2, 2], [5, 1], [6, 2], [18, 2]], 1/19440],
[[[1, 3], [2, 2], [5, 1], [6, 3], [22, 1]], 1/570240],
[[[1, 3], [2, 2], [5, 1], [6, 5], [18, 1]], 1/1399680],
[[[1, 3], [2, 2], [5, 1], [7, 1], [11, 1]], 1/3080],
[[[1, 3], [2, 2], [5, 1], [7, 2], [8, 1]], 1/7840],
[[[1, 3], [2, 2], [5, 1], [9, 1], [11, 1]], 1/5280],
[[[1, 3], [2, 2], [5, 1], [18, 1], [22, 1]], 1/7920],
[[[1, 3], [2, 2], [5, 2], [7, 1], [9, 1]], 1/10080],
[[[1, 3], [2, 2], [6, 1], [8, 2], [11, 1]], 1/8448],
[[[1, 3], [2, 2], [6, 2], [8, 1], [18, 2]], 7/186624],
[[[1, 3], [2, 2], [6, 2], [9, 1], [11, 1]], 1/28512],
[[[1, 3], [2, 2], [6, 2], [10, 1], [18, 2]], 1/38880],
[[[1, 3], [2, 2], [6, 3], [8, 1], [22, 1]], 7/5474304],
[[[1, 3], [2, 2], [6, 3], [10, 1], [22, 1]], 1/1140480],
[[[1, 3], [2, 2], [6, 3], [10, 2], [14, 1]], 1/3628800],
[[[1, 3], [2, 2], [6, 5], [8, 1], [18, 1]], 7/13436928],
[[[1, 3], [2, 2], [6, 5], [10, 1], [18, 1]], 1/2799360],
[[[1, 3], [2, 2], [7, 1], [8, 1], [11, 1]], 1/2464],
[[[1, 3], [2, 2], [8, 1], [9, 1], [11, 1]], 1/8448],
[[[1, 3], [2, 2], [8, 1], [18, 1], [22, 1]], 7/76032],
[[[1, 3], [2, 2], [9, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 3], [2, 2], [10, 1], [18, 1], [22, 1]], 1/15840],
[[[1, 3], [2, 2], [10, 2], [14, 1], [18, 1]], 1/50400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 7]], 37/161243136],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 6]], 209/214990848],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 2]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/9408],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 5]], 25/53747712],
[[[1, 3], [2, 4], [3, 1], [4, 3], [11, 1]], 1/202752],
[[[1, 3], [2, 4], [3, 1], [4, 3], [22, 1]], 5/55296],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 2]], 1/921600],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 4]], 7/143327232],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 11/294912],
[[[1, 3], [2, 4], [3, 1], [4, 4], [10, 2]], 1/921600],
[[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 1/221184],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 1/15925248],
[[[1, 3], [2, 4], [3, 1], [4, 5], [9, 1]], 1/663552],
[[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 1/516096],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 1/42467328],
[[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 1/7077888],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 6]], 1/5598720],
[[[1, 3], [2, 4], [3, 1], [5, 1], [9, 2]], 1/25920],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 4]], 1/2073600],
[[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 1/1152000],
[[[1, 3], [2, 4], [3, 1], [5, 3], [12, 1]], 1/192000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [9, 2]], 1/46656],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 5/42336],
[[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 59/279936],
[[[1, 3], [2, 4], [3, 1], [6, 3], [11, 1]], 13/304128],
[[[1, 3], [2, 4], [3, 1], [6, 3], [22, 1]], 703/8211456],
[[[1, 3], [2, 4], [3, 1], [6, 4], [8, 2]], 1/1492992],
[[[1, 3], [2, 4], [3, 1], [6, 4], [10, 2]], 7/4665600],
[[[1, 3], [2, 4], [3, 1], [6, 5], [14, 1]], 7/559872],
[[[1, 3], [2, 4], [3, 1], [6, 5], [18, 1]], 763/20155392],
[[[1, 3], [2, 4], [3, 1], [6, 6], [8, 1]], 59/161243136],
[[[1, 3], [2, 4], [3, 1], [6, 6], [10, 1]], 13/33592320],
[[[1, 3], [2, 4], [3, 1], [6, 6], [12, 1]], 1/3359232],
[[[1, 3], [2, 4], [3, 1], [8, 1], [9, 2]], 11/186624],
[[[1, 3], [2, 4], [3, 1], [8, 1], [10, 3]], 1/32000],
[[[1, 3], [2, 4], [3, 1], [8, 2], [10, 2]], 1/38400],
[[[1, 3], [2, 4], [3, 1], [9, 1], [11, 1]], 13/456192],
[[[1, 3], [2, 4], [3, 1], [9, 2], [10, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 1], [10, 1], [14, 2]], 1/35280],
[[[1, 3], [2, 4], [3, 1], [14, 1], [22, 1]], 1/11088],
[[[1, 3], [2, 4], [3, 1], [18, 1], [22, 1]], 7/114048],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 6]], 1/2239488],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 7/248832],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 5]], 37/8957952],
[[[1, 3], [2, 4], [3, 2], [4, 2], [11, 1]], 1/45056],
[[[1, 3], [2, 4], [3, 2], [4, 2], [22, 1]], 19/304128],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/5529600],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 103/35831808],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/147456],
[[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 1/55296],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 5/1990656],
[[[1, 3], [2, 4], [3, 2], [4, 4], [7, 1]], 1/1548288],
[[[1, 3], [2, 4], [3, 2], [4, 4], [9, 1]], 1/442368],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/1769472],
[[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1/1327104],
[[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 1/884736],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 5]], 19/11197440],
[[[1, 3], [2, 4], [3, 2], [5, 1], [11, 1]], 1/63360],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 3]], 1/259200],
[[[1, 3], [2, 4], [3, 2], [5, 2], [7, 1]], 1/201600],
[[[1, 3], [2, 4], [3, 2], [5, 2], [9, 1]], 1/43200],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 2]], 1/42336],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 19/279936],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/288000],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/112896],
[[[1, 3], [2, 4], [3, 2], [6, 1], [18, 2]], 1/34992],
[[[1, 3], [2, 4], [3, 2], [6, 2], [11, 1]], 493/3649536],
[[[1, 3], [2, 4], [3, 2], [6, 2], [22, 1]], 1549/5474304],
[[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 5/165888],
[[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 1/933120],
[[[1, 3], [2, 4], [3, 2], [6, 4], [7, 1]], 1/870912],
[[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 1/124416],
[[[1, 3], [2, 4], [3, 2], [6, 4], [14, 1]], 31/559872],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 671/4478976],
[[[1, 3], [2, 4], [3, 2], [6, 5], [8, 1]], 11/2239488],
[[[1, 3], [2, 4], [3, 2], [6, 5], [10, 1]], 13/6718464],
[[[1, 3], [2, 4], [3, 2], [6, 5], [12, 1]], 43/1679616],
[[[1, 3], [2, 4], [3, 2], [8, 1], [11, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 2], [8, 1], [22, 1]], 5/76032],
[[[1, 3], [2, 4], [3, 2], [8, 2], [9, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 2], [10, 1], [11, 1]], 1/31680],
[[[1, 3], [2, 4], [3, 2], [10, 1], [22, 1]], 1/15840],
[[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/50400],
[[[1, 3], [2, 4], [3, 2], [10, 2], [18, 1]], 1/129600],
[[[1, 3], [2, 4], [3, 2], [11, 1], [12, 1]], 13/608256],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 5]], 65/17915904],
[[[1, 3], [2, 4], [3, 3], [4, 1], [11, 1]], 7/7299072],
[[[1, 3], [2, 4], [3, 3], [4, 1], [22, 1]], 1/38016],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 2]], 1/7372800],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 4]], 119/15925248],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 2]], 1/1327104],
[[[1, 3], [2, 4], [3, 3], [4, 2], [12, 2]], 1/82944],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 115/11943936],
[[[1, 3], [2, 4], [3, 3], [4, 3], [7, 1]], 5/4644864],
[[[1, 3], [2, 4], [3, 3], [4, 3], [9, 1]], 1/331776],
[[[1, 3], [2, 4], [3, 3], [4, 4], [5, 1]], 13/39813120],
[[[1, 3], [2, 4], [3, 3], [4, 4], [6, 2]], 1/1327104],
[[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 115/31850496],
[[[1, 3], [2, 4], [3, 3], [4, 4], [10, 1]], 1/19906560],
[[[1, 3], [2, 4], [3, 3], [4, 4], [12, 1]], 11/23887872],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 4]], 7/829440],
[[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 1/518400],
[[[1, 3], [2, 4], [3, 3], [5, 2], [6, 2]], 1/18662400],
[[[1, 3], [2, 4], [3, 3], [5, 2], [8, 1]], 1/6220800],
[[[1, 3], [2, 4], [3, 3], [5, 2], [10, 1]], 11/5184000],
[[[1, 3], [2, 4], [3, 3], [6, 1], [11, 1]], 151/8211456],
[[[1, 3], [2, 4], [3, 3], [6, 1], [22, 1]], 31/912384],
[[[1, 3], [2, 4], [3, 3], [6, 2], [8, 2]], 1/82944],
[[[1, 3], [2, 4], [3, 3], [6, 2], [10, 2]], 7/518400],
[[[1, 3], [2, 4], [3, 3], [6, 3], [7, 1]], 25/435456],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 155/2239488],
[[[1, 3], [2, 4], [3, 3], [6, 3], [14, 1]], 29/435456],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 163/2239488],
[[[1, 3], [2, 4], [3, 3], [6, 4], [8, 1]], 1063/35831808],
[[[1, 3], [2, 4], [3, 3], [6, 4], [10, 1]], 17/2799360],
[[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 23/746496],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 2]], 1/6220800],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 4]], 1/124416],
[[[1, 3], [2, 4], [3, 4], [4, 1], [8, 2]], 7/11943936],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 3]], 89/15925248],
[[[1, 3], [2, 4], [3, 4], [4, 2], [7, 1]], 1/3096576],
[[[1, 3], [2, 4], [3, 4], [4, 2], [9, 1]], 13/1327104],
[[[1, 3], [2, 4], [3, 4], [4, 3], [5, 1]], 7/29859840],
[[[1, 3], [2, 4], [3, 4], [4, 3], [6, 2]], 1/995328],
[[[1, 3], [2, 4], [3, 4], [4, 3], [8, 1]], 11/7962624],
[[[1, 3], [2, 4], [3, 4], [4, 3], [10, 1]], 1/4976640],
[[[1, 3], [2, 4], [3, 4], [4, 3], [12, 1]], 1/2985984],
[[[1, 3], [2, 4], [3, 4], [4, 4], [6, 1]], 1/23887872],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 3]], 11/11197440],
[[[1, 3], [2, 4], [3, 4], [5, 1], [7, 1]], 37/104509440],
[[[1, 3], [2, 4], [3, 4], [5, 1], [9, 1]], 13/1866240],
[[[1, 3], [2, 4], [3, 4], [5, 2], [6, 1]], 1/2332800],
[[[1, 3], [2, 4], [3, 4], [6, 1], [10, 2]], 1/1036800],
[[[1, 3], [2, 4], [3, 4], [6, 2], [7, 1]], 181/7838208],
[[[1, 3], [2, 4], [3, 4], [6, 2], [9, 1]], 1679/26873856],
[[[1, 3], [2, 4], [3, 4], [6, 2], [14, 1]], 1/435456],
[[[1, 3], [2, 4], [3, 4], [6, 2], [18, 1]], 1/279936],
[[[1, 3], [2, 4], [3, 4], [6, 3], [8, 1]], 31/1327104],
[[[1, 3], [2, 4], [3, 4], [6, 3], [10, 1]], 139/7464960],
[[[1, 3], [2, 4], [3, 4], [6, 3], [12, 1]], 13/373248],
[[[1, 3], [2, 4], [3, 4], [7, 1], [8, 1]], 1/2612736],
[[[1, 3], [2, 4], [3, 4], [7, 1], [10, 1]], 1/2177280],
[[[1, 3], [2, 4], [3, 4], [8, 1], [9, 1]], 1/93312],
[[[1, 3], [2, 4], [3, 4], [9, 1], [10, 1]], 13/933120],
[[[1, 3], [2, 4], [3, 4], [9, 1], [12, 1]], 13/1492992],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 3]], 37/53747712],
[[[1, 3], [2, 4], [3, 5], [4, 1], [9, 1]], 7/17915904],
[[[1, 3], [2, 4], [3, 5], [4, 2], [6, 2]], 91/47775744],
[[[1, 3], [2, 4], [3, 5], [4, 2], [10, 1]], 1/7464960],
[[[1, 3], [2, 4], [3, 5], [4, 2], [12, 1]], 1/4478976],
[[[1, 3], [2, 4], [3, 5], [4, 3], [6, 1]], 31/107495424],
[[[1, 3], [2, 4], [3, 5], [5, 1], [6, 2]], 17/22394880],
[[[1, 3], [2, 4], [3, 5], [5, 1], [8, 1]], 1/44789760],
[[[1, 3], [2, 4], [3, 5], [6, 1], [7, 1]], 1/3919104],
[[[1, 3], [2, 4], [3, 5], [6, 1], [9, 1]], 163/20155392],
[[[1, 3], [2, 4], [3, 5], [6, 2], [8, 1]], 95/26873856],
[[[1, 3], [2, 4], [3, 5], [6, 2], [10, 1]], 7/3732480],
[[[1, 3], [2, 4], [3, 5], [6, 2], [12, 1]], 1/186624],
[[[1, 3], [2, 4], [3, 5], [8, 1], [12, 1]], 1/17915904],
[[[1, 3], [2, 4], [3, 6], [4, 1], [6, 2]], 1/2239488],
[[[1, 3], [2, 4], [3, 6], [4, 2], [6, 1]], 1/7962624],
[[[1, 3], [2, 4], [3, 6], [5, 1], [6, 1]], 1/11197440],
[[[1, 3], [2, 4], [3, 6], [6, 1], [8, 1]], 7/53747712],
[[[1, 3], [2, 4], [3, 6], [6, 1], [10, 1]], 1/5598720],
[[[1, 3], [2, 4], [3, 7], [4, 1], [6, 1]], 1/483729408],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 6]], 1/4199040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 2]], 1/94080],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 3/80000],
[[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 3/8000],
[[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 1/80000],
[[[1, 3], [2, 4], [4, 1], [5, 3], [12, 1]], 1/48000],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/28224],
[[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 121/746496],
[[[1, 3], [2, 4], [4, 1], [6, 3], [11, 1]], 1/38016],
[[[1, 3], [2, 4], [4, 1], [6, 3], [22, 1]], 83/1990656],
[[[1, 3], [2, 4], [4, 1], [6, 4], [8, 2]], 1/1327104],
[[[1, 3], [2, 4], [4, 1], [6, 4], [10, 2]], 1/1382400],
[[[1, 3], [2, 4], [4, 1], [6, 4], [12, 2]], 1/186624],
[[[1, 3], [2, 4], [4, 1], [6, 5], [14, 1]], 5/5225472],
[[[1, 3], [2, 4], [4, 1], [6, 5], [18, 1]], 985/53747712],
[[[1, 3], [2, 4], [4, 1], [6, 6], [12, 1]], 1/2519424],
[[[1, 3], [2, 4], [4, 1], [7, 1], [11, 1]], 1/29568],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/128000],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/6272],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/102400],
[[[1, 3], [2, 4], [4, 1], [9, 1], [11, 1]], 7/101376],
[[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 19/94080],
[[[1, 3], [2, 4], [4, 1], [10, 3], [12, 1]], 1/16000],
[[[1, 3], [2, 4], [4, 1], [14, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 4], [4, 1], [18, 1], [22, 1]], 49/304128],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 5]], 1/3732480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [11, 1]], 9/112640],
[[[1, 3], [2, 4], [4, 2], [5, 1], [22, 1]], 1/8448],
[[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 9/358400],
[[[1, 3], [2, 4], [4, 2], [5, 2], [9, 1]], 1/102400],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 1/12288],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/384000],
[[[1, 3], [2, 4], [4, 2], [6, 1], [18, 2]], 7/82944],
[[[1, 3], [2, 4], [4, 2], [6, 2], [11, 1]], 1/16896],
[[[1, 3], [2, 4], [4, 2], [6, 2], [22, 1]], 1/22528],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 13/1327104],
[[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 17/16588800],
[[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 1/41472],
[[[1, 3], [2, 4], [4, 2], [6, 4], [14, 1]], 55/13934592],
[[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 71/2985984],
[[[1, 3], [2, 4], [4, 2], [6, 5], [8, 1]], 5/3981312],
[[[1, 3], [2, 4], [4, 2], [6, 5], [10, 1]], 7/11943936],
[[[1, 3], [2, 4], [4, 2], [6, 5], [12, 1]], 59/71663616],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/7168],
[[[1, 3], [2, 4], [4, 2], [8, 1], [11, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [8, 1], [22, 1]], 37/202752],
[[[1, 3], [2, 4], [4, 2], [8, 2], [9, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 5/28672],
[[[1, 3], [2, 4], [4, 2], [8, 2], [18, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 2], [10, 1], [11, 1]], 7/84480],
[[[1, 3], [2, 4], [4, 2], [10, 1], [22, 1]], 31/168960],
[[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 31/537600],
[[[1, 3], [2, 4], [4, 2], [10, 2], [18, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 2], [11, 1], [12, 1]], 7/50688],
[[[1, 3], [2, 4], [4, 2], [12, 1], [22, 1]], 1/5632],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 4]], 1/4976640],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/40960],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 9/512000],
[[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 1/1228800],
[[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 7/307200],
[[[1, 3], [2, 4], [4, 3], [6, 1], [11, 1]], 43/608256],
[[[1, 3], [2, 4], [4, 3], [6, 1], [22, 1]], 13/608256],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 11/221184],
[[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 91/16588800],
[[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 1/55296],
[[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 13/2985984],
[[[1, 3], [2, 4], [4, 3], [6, 3], [18, 1]], 113/8957952],
[[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 115/23887872],
[[[1, 3], [2, 4], [4, 3], [6, 4], [10, 1]], 11/5971968],
[[[1, 3], [2, 4], [4, 3], [6, 4], [12, 1]], 1/497664],
[[[1, 3], [2, 4], [4, 3], [7, 1], [9, 1]], 1/21504],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 1/614400],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/12288],
[[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 1/460800],
[[[1, 3], [2, 4], [4, 3], [14, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 19/5160960],
[[[1, 3], [2, 4], [4, 4], [5, 1], [9, 1]], 1/552960],
[[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 1/215040],
[[[1, 3], [2, 4], [4, 4], [5, 2], [6, 1]], 1/1843200],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 11/294912],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/460800],
[[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 1/1161216],
[[[1, 3], [2, 4], [4, 4], [6, 2], [18, 1]], 77/7962624],
[[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 401/95551488],
[[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 13/29859840],
[[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 1/331776],
[[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 1/344064],
[[[1, 3], [2, 4], [4, 4], [8, 1], [9, 1]], 19/442368],
[[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 5/344064],
[[[1, 3], [2, 4], [4, 4], [8, 1], [18, 1]], 17/1327104],
[[[1, 3], [2, 4], [4, 4], [9, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [4, 4], [9, 1], [12, 1]], 1/165888],
[[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 31/3440640],
[[[1, 3], [2, 4], [4, 4], [10, 1], [18, 1]], 1/414720],
[[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 1/129024],
[[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/122880],
[[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/983040],
[[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 1/516096],
[[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 1/6193152],
[[[1, 3], [2, 4], [4, 5], [6, 1], [18, 1]], 5/2654208],
[[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 1/5308416],
[[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 1/884736],
[[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 1/163840],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/73728],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 5/1769472],
[[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 1/8847360],
[[[1, 3], [2, 4], [5, 1], [6, 1], [18, 2]], 1/9720],
[[[1, 3], [2, 4], [5, 1], [6, 2], [11, 1]], 1/31680],
[[[1, 3], [2, 4], [5, 1], [6, 2], [22, 1]], 1/23760],
[[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 17/5184000],
[[[1, 3], [2, 4], [5, 1], [6, 4], [14, 1]], 1/1088640],
[[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/51840],
[[[1, 3], [2, 4], [5, 1], [6, 5], [10, 1]], 1/2073600],
[[[1, 3], [2, 4], [5, 1], [6, 5], [12, 1]], 1/1866240],
[[[1, 3], [2, 4], [5, 1], [7, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 4], [5, 1], [8, 1], [11, 1]], 7/42240],
[[[1, 3], [2, 4], [5, 1], [8, 1], [22, 1]], 1/7040],
[[[1, 3], [2, 4], [5, 1], [9, 1], [10, 2]], 1/7200],
[[[1, 3], [2, 4], [5, 1], [10, 1], [11, 1]], 1/8800],
[[[1, 3], [2, 4], [5, 1], [10, 1], [22, 1]], 1/4400],
[[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 17/28000],
[[[1, 3], [2, 4], [5, 1], [10, 2], [18, 1]], 17/72000],
[[[1, 3], [2, 4], [5, 2], [6, 1], [8, 2]], 1/76800],
[[[1, 3], [2, 4], [5, 2], [6, 2], [7, 1]], 1/100800],
[[[1, 3], [2, 4], [5, 2], [6, 2], [9, 1]], 1/259200],
[[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 1/1036800],
[[[1, 3], [2, 4], [5, 2], [7, 1], [8, 1]], 1/19200],
[[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 3/14000],
[[[1, 3], [2, 4], [5, 2], [8, 1], [9, 1]], 1/86400],
[[[1, 3], [2, 4], [5, 2], [9, 1], [10, 1]], 11/72000],
[[[1, 3], [2, 4], [5, 2], [10, 1], [18, 1]], 1/14400],
[[[1, 3], [2, 4], [5, 3], [6, 1], [8, 1]], 1/96000],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/9408],
[[[1, 3], [2, 4], [6, 1], [8, 1], [18, 2]], 17/186624],
[[[1, 3], [2, 4], [6, 1], [9, 1], [11, 1]], 7/114048],
[[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 3], [2, 4], [6, 1], [10, 1], [18, 2]], 1/7776],
[[[1, 3], [2, 4], [6, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 3], [2, 4], [6, 1], [12, 1], [14, 2]], 1/18816],
[[[1, 3], [2, 4], [6, 1], [14, 1], [22, 1]], 1/7392],
[[[1, 3], [2, 4], [6, 1], [18, 1], [22, 1]], 5/76032],
[[[1, 3], [2, 4], [6, 2], [8, 1], [11, 1]], 5/76032],
[[[1, 3], [2, 4], [6, 2], [8, 1], [22, 1]], 17/456192],
[[[1, 3], [2, 4], [6, 2], [8, 2], [18, 1]], 1/18432],
[[[1, 3], [2, 4], [6, 2], [10, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/37800],
[[[1, 3], [2, 4], [6, 2], [10, 2], [18, 1]], 13/129600],
[[[1, 3], [2, 4], [6, 2], [12, 1], [22, 1]], 5/101376],
[[[1, 3], [2, 4], [6, 3], [8, 1], [10, 2]], 1/3110400],
[[[1, 3], [2, 4], [6, 3], [10, 2], [12, 1]], 1/172800],
[[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[1, 3], [2, 4], [6, 4], [8, 1], [14, 1]], 1/1306368],
[[[1, 3], [2, 4], [6, 4], [8, 1], [18, 1]], 19/1119744],
[[[1, 3], [2, 4], [6, 4], [10, 1], [14, 1]], 29/17418240],
[[[1, 3], [2, 4], [6, 4], [10, 1], [18, 1]], 11/466560],
[[[1, 3], [2, 4], [6, 4], [12, 1], [18, 1]], 5/248832],
[[[1, 3], [2, 4], [6, 5], [8, 1], [10, 1]], 7/44789760],
[[[1, 3], [2, 4], [6, 5], [8, 1], [12, 1]], 7/17915904],
[[[1, 3], [2, 4], [6, 5], [10, 1], [12, 1]], 1/3732480],
[[[1, 3], [2, 4], [8, 1], [10, 1], [11, 1]], 1/7040],
[[[1, 3], [2, 4], [8, 1], [10, 1], [22, 1]], 17/42240],
[[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 23/134400],
[[[1, 3], [2, 4], [8, 1], [10, 2], [18, 1]], 1/43200],
[[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 3/71680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 10639/1289945088],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 1/73728],
[[[1, 3], [2, 6], [3, 1], [4, 1], [9, 2]], 1/233280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 11/192000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/8064],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 179/17915904],
[[[1, 3], [2, 6], [3, 1], [4, 2], [22, 1]], 325/2433024],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 3241/268738560],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 49/1769472],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 7/552960],
[[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 1/147456],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 37/4478976],
[[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 1/6193152],
[[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 23/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/8847360],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 701/127401984],
[[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 7/1769472],
[[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 1/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 5/2359296],
[[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 7/21233664],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/559872],
[[[1, 3], [2, 6], [3, 1], [5, 1], [11, 1]], 1/506880],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/921600],
[[[1, 3], [2, 6], [3, 1], [5, 2], [7, 1]], 1/1612800],
[[[1, 3], [2, 6], [3, 1], [5, 2], [9, 1]], 1/4147200],
[[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1/576000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [9, 2]], 1/186624],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 71/288000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/6720],
[[[1, 3], [2, 6], [3, 1], [6, 1], [18, 2]], 5/279936],
[[[1, 3], [2, 6], [3, 1], [6, 2], [11, 1]], 359/16220160],
[[[1, 3], [2, 6], [3, 1], [6, 2], [22, 1]], 1229/5474304],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 59/5971968],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 713/4665600],
[[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 5333/39191040],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 8261/40310784],
[[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 143/13436928],
[[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 427/14929920],
[[[1, 3], [2, 6], [3, 1], [6, 5], [12, 1]], 283/13436928],
[[[1, 3], [2, 6], [3, 1], [7, 1], [8, 2]], 1/258048],
[[[1, 3], [2, 6], [3, 1], [8, 1], [11, 1]], 1/135168],
[[[1, 3], [2, 6], [3, 1], [8, 1], [22, 1]], 7/276480],
[[[1, 3], [2, 6], [3, 1], [8, 2], [9, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 1], [8, 2], [14, 1]], 11/645120],
[[[1, 3], [2, 6], [3, 1], [10, 1], [22, 1]], 7/63360],
[[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 11/201600],
[[[1, 3], [2, 6], [3, 1], [10, 2], [18, 1]], 1/129600],
[[[1, 3], [2, 6], [3, 1], [11, 1], [12, 1]], 31/24330240],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 23005/859963392],
[[[1, 3], [2, 6], [3, 2], [4, 1], [11, 1]], 1/570240],
[[[1, 3], [2, 6], [3, 2], [4, 1], [22, 1]], 7/304128],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 4817/107495424],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 17/1327104],
[[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 13/1382400],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 1783/47775744],
[[[1, 3], [2, 6], [3, 2], [4, 3], [9, 1]], 409/119439360],
[[[1, 3], [2, 6], [3, 2], [4, 3], [14, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 2747/318504960],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 7/884736],
[[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/1105920],
[[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 1/663552],
[[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 17/42467328],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 41/4478976],
[[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 109/6635520],
[[[1, 3], [2, 6], [3, 2], [5, 2], [8, 1]], 1/2764800],
[[[1, 3], [2, 6], [3, 2], [5, 2], [10, 1]], 1/115200],
[[[1, 3], [2, 6], [3, 2], [5, 2], [12, 1]], 1/5529600],
[[[1, 3], [2, 6], [3, 2], [6, 1], [11, 1]], 5/456192],
[[[1, 3], [2, 6], [3, 2], [6, 1], [22, 1]], 31129/437944320],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 37/1327104],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 7933/24883200],
[[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/387072],
[[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 23/1492992],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 5963/22394880],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 933827/3224862720],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 2621/44789760],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 20513/134369280],
[[[1, 3], [2, 6], [3, 2], [6, 4], [12, 1]], 8039/107495424],
[[[1, 3], [2, 6], [3, 2], [7, 1], [9, 1]], 1/1741824],
[[[1, 3], [2, 6], [3, 2], [8, 1], [10, 2]], 1/138240],
[[[1, 3], [2, 6], [3, 2], [14, 1], [18, 1]], 11/2177280],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 2]], 11/995328000],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 6841/107495424],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 19/10616832],
[[[1, 3], [2, 6], [3, 3], [4, 1], [10, 2]], 1/345600],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 803/23887872],
[[[1, 3], [2, 6], [3, 3], [4, 2], [7, 1]], 1/26542080],
[[[1, 3], [2, 6], [3, 3], [4, 3], [5, 1]], 1/39813120],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 841/179159040],
[[[1, 3], [2, 6], [3, 3], [4, 3], [8, 1]], 221/382205952],
[[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 1/7962624],
[[[1, 3], [2, 6], [3, 3], [4, 3], [12, 1]], 1/7962624],
[[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 19/31850496],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 3]], 107/3317760],
[[[1, 3], [2, 6], [3, 3], [5, 1], [7, 1]], 751/4180377600],
[[[1, 3], [2, 6], [3, 3], [5, 1], [9, 1]], 1/1244160],
[[[1, 3], [2, 6], [3, 3], [5, 2], [6, 1]], 1/74649600],
[[[1, 3], [2, 6], [3, 3], [6, 1], [8, 2]], 1/663552],
[[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/64800],
[[[1, 3], [2, 6], [3, 3], [6, 2], [7, 1]], 65/13934592],
[[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 9011/358318080],
[[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 113/4354560],
[[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 25/2239488],
[[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 323/5971968],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 2143/14929920],
[[[1, 3], [2, 6], [3, 3], [6, 3], [12, 1]], 29/2985984],
[[[1, 3], [2, 6], [3, 3], [7, 1], [8, 1]], 25/27869184],
[[[1, 3], [2, 6], [3, 3], [7, 1], [12, 1]], 1/2322432],
[[[1, 3], [2, 6], [3, 3], [8, 1], [9, 1]], 5/995328],
[[[1, 3], [2, 6], [3, 3], [9, 1], [12, 1]], 91/59719680],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 3]], 31891/1433272320],
[[[1, 3], [2, 6], [3, 4], [4, 1], [7, 1]], 1/26127360],
[[[1, 3], [2, 6], [3, 4], [4, 1], [9, 1]], 139/179159040],
[[[1, 3], [2, 6], [3, 4], [4, 2], [5, 1]], 7/398131200],
[[[1, 3], [2, 6], [3, 4], [4, 2], [6, 2]], 161/23887872],
[[[1, 3], [2, 6], [3, 4], [4, 2], [8, 1]], 1/4976640],
[[[1, 3], [2, 6], [3, 4], [4, 3], [6, 1]], 17/47775744],
[[[1, 3], [2, 6], [3, 4], [5, 1], [6, 2]], 91/22394880],
[[[1, 3], [2, 6], [3, 4], [5, 1], [8, 1]], 1/59719680],
[[[1, 3], [2, 6], [3, 4], [5, 1], [10, 1]], 7/29859840],
[[[1, 3], [2, 6], [3, 4], [6, 1], [7, 1]], 1/31352832],
[[[1, 3], [2, 6], [3, 4], [6, 1], [9, 1]], 1/209952],
[[[1, 3], [2, 6], [3, 4], [6, 1], [14, 1]], 11/17418240],
[[[1, 3], [2, 6], [3, 4], [6, 2], [8, 1]], 683/89579520],
[[[1, 3], [2, 6], [3, 4], [6, 2], [10, 1]], 7/746496],
[[[1, 3], [2, 6], [3, 4], [6, 2], [12, 1]], 47/11943936],
[[[1, 3], [2, 6], [3, 5], [4, 1], [5, 1]], 11/1791590400],
[[[1, 3], [2, 6], [3, 5], [4, 1], [6, 2]], 5111/4299816960],
[[[1, 3], [2, 6], [3, 5], [4, 1], [8, 1]], 1/35831808],
[[[1, 3], [2, 6], [3, 5], [4, 1], [12, 1]], 1/716636160],
[[[1, 3], [2, 6], [3, 5], [4, 2], [6, 1]], 1/35831808],
[[[1, 3], [2, 6], [3, 5], [5, 1], [6, 1]], 1/89579520],
[[[1, 3], [2, 6], [3, 5], [6, 1], [8, 1]], 11/26873856],
[[[1, 3], [2, 6], [3, 5], [6, 1], [12, 1]], 1/5971968],
[[[1, 3], [2, 6], [3, 6], [4, 1], [6, 1]], 7/716636160],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 11/4478976],
[[[1, 3], [2, 6], [4, 1], [5, 1], [11, 1]], 7/563200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [22, 1]], 107/2534400],
[[[1, 3], [2, 6], [4, 1], [5, 2], [7, 1]], 1/256000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [9, 1]], 11/13824000],
[[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 1/384000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 1/24576],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 7/64000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 13/56448],
[[[1, 3], [2, 6], [4, 1], [6, 1], [18, 2]], 305/2985984],
[[[1, 3], [2, 6], [4, 1], [6, 2], [11, 1]], 5/304128],
[[[1, 3], [2, 6], [4, 1], [6, 2], [22, 1]], 1193/7299072],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 323/10616832],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 18407/398131200],
[[[1, 3], [2, 6], [4, 1], [6, 3], [12, 2]], 1/124416],
[[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 8027/167215104],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 8395/71663616],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 121/17915904],
[[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1579/179159040],
[[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 2275/214990848],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 1/172032],
[[[1, 3], [2, 6], [4, 1], [8, 1], [11, 1]], 193/8110080],
[[[1, 3], [2, 6], [4, 1], [8, 1], [22, 1]], 35/180224],
[[[1, 3], [2, 6], [4, 1], [8, 2], [9, 1]], 1/49152],
[[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 3/14336],
[[[1, 3], [2, 6], [4, 1], [8, 2], [18, 1]], 1/49152],
[[[1, 3], [2, 6], [4, 1], [10, 1], [11, 1]], 13/1013760],
[[[1, 3], [2, 6], [4, 1], [10, 1], [22, 1]], 93/225280],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 381/716800],
[[[1, 3], [2, 6], [4, 1], [10, 2], [18, 1]], 551/5529600],
[[[1, 3], [2, 6], [4, 1], [11, 1], [12, 1]], 1/608256],
[[[1, 3], [2, 6], [4, 1], [12, 1], [22, 1]], 17/1520640],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 361/74649600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 169/768000],
[[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/460800],
[[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/51200],
[[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 73/1024000],
[[[1, 3], [2, 6], [4, 2], [5, 2], [12, 1]], 1/460800],
[[[1, 3], [2, 6], [4, 2], [6, 1], [11, 1]], 37/1351680],
[[[1, 3], [2, 6], [4, 2], [6, 1], [22, 1]], 37/202752],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 53/294912],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 253/2764800],
[[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 11/829440],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 4637/79626240],
[[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 17/124416],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 1279/35831808],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 4943/238878720],
[[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 3007/89579520],
[[[1, 3], [2, 6], [4, 2], [7, 1], [9, 1]], 1/368640],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 143/921600],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 17/81920],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 13/115200],
[[[1, 3], [2, 6], [4, 2], [14, 1], [18, 1]], 779/7741440],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 13/7962624],
[[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 409/154828800],
[[[1, 3], [2, 6], [4, 3], [5, 1], [9, 1]], 1/552960],
[[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 29/1290240],
[[[1, 3], [2, 6], [4, 3], [5, 1], [18, 1]], 1/552960],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 281/1769472],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 103/2073600],
[[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 1/442368],
[[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/129024],
[[[1, 3], [2, 6], [4, 3], [6, 2], [9, 1]], 1/995328],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 139/4354560],
[[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1727/19906560],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 15251/382205952],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 10753/597196800],
[[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 683/23887872],
[[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/86016],
[[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/215040],
[[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 1/129024],
[[[1, 3], [2, 6], [4, 3], [8, 1], [9, 1]], 221/5308416],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 493/5160960],
[[[1, 3], [2, 6], [4, 3], [8, 1], [18, 1]], 49/1769472],
[[[1, 3], [2, 6], [4, 3], [9, 1], [10, 1]], 1/110592],
[[[1, 3], [2, 6], [4, 3], [9, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 7237/77414400],
[[[1, 3], [2, 6], [4, 3], [10, 1], [18, 1]], 17/921600],
[[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 23/774144],
[[[1, 3], [2, 6], [4, 3], [12, 1], [18, 1]], 1/331776],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/552960],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 49/1474560],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 89/4915200],
[[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 6], [4, 4], [6, 1], [9, 1]], 1/442368],
[[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 491/18579456],
[[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 637/39813120],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 799/15925248],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1289/79626240],
[[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 49/6635520],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 55/884736],
[[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 1/737280],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 215/5308416],
[[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 7/983040],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 49/7077888],
[[[1, 3], [2, 6], [5, 1], [6, 1], [11, 1]], 1/126720],
[[[1, 3], [2, 6], [5, 1], [6, 1], [22, 1]], 7/190080],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 119/864000],
[[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 611/43545600],
[[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 5/139968],
[[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 623/33177600],
[[[1, 3], [2, 6], [5, 1], [6, 4], [12, 1]], 1/233280],
[[[1, 3], [2, 6], [5, 1], [7, 1], [9, 1]], 31/58060800],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 89/256000],
[[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 11/122880],
[[[1, 3], [2, 6], [5, 1], [14, 1], [18, 1]], 11/604800],
[[[1, 3], [2, 6], [5, 2], [6, 1], [7, 1]], 1/403200],
[[[1, 3], [2, 6], [5, 2], [6, 1], [9, 1]], 1/1036800],
[[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 1/10240],
[[[1, 3], [2, 6], [6, 1], [8, 1], [11, 1]], 17/1216512],
[[[1, 3], [2, 6], [6, 1], [8, 1], [22, 1]], 223/1824768],
[[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 6], [6, 1], [8, 2], [18, 1]], 1/18432],
[[[1, 3], [2, 6], [6, 1], [10, 1], [22, 1]], 91/380160],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 463/1209600],
[[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 67/207360],
[[[1, 3], [2, 6], [6, 1], [12, 1], [22, 1]], 9/901120],
[[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 31/518400],
[[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 1/61440],
[[[1, 3], [2, 6], [6, 2], [10, 2], [12, 1]], 71/1382400],
[[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 107/435456],
[[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 8231/209018880],
[[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 1325/13436928],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 147857/1393459200],
[[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1033/5598720],
[[[1, 3], [2, 6], [6, 3], [12, 1], [14, 1]], 13/290304],
[[[1, 3], [2, 6], [6, 3], [12, 1], [18, 1]], 881/19906560],
[[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 647/89579520],
[[[1, 3], [2, 6], [6, 4], [8, 1], [12, 1]], 17/4478976],
[[[1, 3], [2, 6], [6, 4], [10, 1], [12, 1]], 103/7464960],
[[[1, 3], [2, 6], [7, 1], [8, 1], [9, 1]], 1/387072],
[[[1, 3], [2, 6], [8, 1], [14, 1], [18, 1]], 71/2903040],
[[[1, 3], [2, 6], [10, 1], [14, 1], [18, 1]], 1937/19353600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 23677/537477120],
[[[1, 3], [2, 8], [3, 1], [4, 1], [11, 1]], 1/3041280],
[[[1, 3], [2, 8], [3, 1], [4, 1], [22, 1]], 49/4561920],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 2]], 1/18432000],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 8407/179159040],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1513/159252480],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 643/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 95639/2149908480],
[[[1, 3], [2, 8], [3, 1], [4, 3], [9, 1]], 1/9953280],
[[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 319/18579456],
[[[1, 3], [2, 8], [3, 1], [4, 3], [18, 1]], 1/2654208],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 117821/7644119040],
[[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 29/7077888],
[[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 851/232243200],
[[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 7/47185920],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 37/15925248],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 601/223948800],
[[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 107/442368000],
[[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/921600],
[[[1, 3], [2, 8], [3, 1], [5, 2], [12, 1]], 1/221184000],
[[[1, 3], [2, 8], [3, 1], [6, 1], [11, 1]], 17/36495360],
[[[1, 3], [2, 8], [3, 1], [6, 1], [22, 1]], 30377/1149603840],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 61/9953280],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 17917/49766400],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 40253/209018880],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 559849/3762339840],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 303671/7524679680],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 3749171/25082265600],
[[[1, 3], [2, 8], [3, 1], [6, 4], [12, 1]], 54517/2149908480],
[[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 1/69672960],
[[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 31273/3483648000],
[[[1, 3], [2, 8], [3, 1], [8, 2], [10, 1]], 11/9676800],
[[[1, 3], [2, 8], [3, 1], [14, 1], [18, 1]], 17/8709120],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/110592000],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 167269/2149908480],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/1769472],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/184320],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 293287/4299816960],
[[[1, 3], [2, 8], [3, 2], [4, 2], [7, 1]], 1/30965760],
[[[1, 3], [2, 8], [3, 2], [4, 2], [9, 1]], 29/79626240],
[[[1, 3], [2, 8], [3, 2], [4, 2], [14, 1]], 89/23224320],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 103661/5016453120],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 107/53084160],
[[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 7/3317760],
[[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 1/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 12569/8918138880],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 2659/1194393600],
[[[1, 3], [2, 8], [3, 2], [5, 1], [7, 1]], 1/232243200],
[[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 1/49766400],
[[[1, 3], [2, 8], [3, 2], [5, 2], [6, 1]], 1/16588800],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 2]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 90907/3483648000],
[[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 107/185794560],
[[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 383/238878720],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 56179/836075520],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 18289/705438720],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 40999/1074954240],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 3475079/15049359360],
[[[1, 3], [2, 8], [3, 2], [6, 3], [12, 1]], 76547/10032906240],
[[[1, 3], [2, 8], [3, 2], [7, 1], [12, 1]], 1/92897280],
[[[1, 3], [2, 8], [3, 2], [8, 1], [9, 1]], 1/14929920],
[[[1, 3], [2, 8], [3, 2], [8, 1], [14, 1]], 1/1161216],
[[[1, 3], [2, 8], [3, 2], [9, 1], [12, 1]], 1/39813120],
[[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 2629/522547200],
[[[1, 3], [2, 8], [3, 2], [10, 1], [18, 1]], 11/32659200],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 16085/429981696],
[[[1, 3], [2, 8], [3, 3], [4, 1], [7, 1]], 19/836075520],
[[[1, 3], [2, 8], [3, 3], [4, 1], [9, 1]], 11/59719680],
[[[1, 3], [2, 8], [3, 3], [4, 1], [14, 1]], 1/2903040],
[[[1, 3], [2, 8], [3, 3], [4, 2], [5, 1]], 13/796262400],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 5687/955514880],
[[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 497/1911029760],
[[[1, 3], [2, 8], [3, 3], [4, 2], [12, 1]], 1/53084160],
[[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 19/286654464],
[[[1, 3], [2, 8], [3, 3], [5, 1], [6, 2]], 1/1843200],
[[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 47/149299200],
[[[1, 3], [2, 8], [3, 3], [6, 1], [7, 1]], 1/6967296],
[[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 19/35831808],
[[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 41/69672960],
[[[1, 3], [2, 8], [3, 3], [6, 1], [18, 1]], 1/11197440],
[[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 6571/2508226560],
[[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 71593/8360755200],
[[[1, 3], [2, 8], [3, 3], [6, 2], [12, 1]], 25/95551488],
[[[1, 3], [2, 8], [3, 4], [4, 1], [5, 1]], 1/1791590400],
[[[1, 3], [2, 8], [3, 4], [4, 1], [6, 2]], 83/119439360],
[[[1, 3], [2, 8], [3, 4], [4, 1], [8, 1]], 1/179159040],
[[[1, 3], [2, 8], [3, 4], [4, 2], [6, 1]], 11/477757440],
[[[1, 3], [2, 8], [3, 4], [5, 1], [6, 1]], 1/3583180800],
[[[1, 3], [2, 8], [3, 4], [6, 1], [8, 1]], 1/143327232],
[[[1, 3], [2, 8], [3, 4], [6, 1], [10, 1]], 11/261273600],
[[[1, 3], [2, 8], [3, 4], [6, 1], [12, 1]], 1/238878720],
[[[1, 3], [2, 8], [3, 5], [4, 1], [6, 1]], 37/2149908480],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 6539/1567641600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1/491520],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 922811/5806080000],
[[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 13/73728000],
[[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1237/165888000],
[[[1, 3], [2, 8], [4, 1], [6, 1], [11, 1]], 7/6082560],
[[[1, 3], [2, 8], [4, 1], [6, 1], [22, 1]], 191/2280960],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 7/147456],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 16973/66355200],
[[[1, 3], [2, 8], [4, 1], [6, 2], [12, 2]], 23/34836480],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 19729/139345920],
[[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 80231/537477120],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 59351/1433272320],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 128023/1791590400],
[[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 48841/1881169920],
[[[1, 3], [2, 8], [4, 1], [7, 1], [9, 1]], 1/11612160],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 7541/36864000],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 27/409600],
[[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 23713/1741824000],
[[[1, 3], [2, 8], [4, 1], [14, 1], [18, 1]], 79/2903040],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 6773/928972800],
[[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 13/34406400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [9, 1]], 1/11059200],
[[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 937/116121600],
[[[1, 3], [2, 8], [4, 2], [5, 1], [18, 1]], 29/116121600],
[[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 11/36864000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1031/17694720],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1783/9216000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 29/92897280],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 3617/23224320],
[[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 10061/79626240],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 3488399/40131624960],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 909469/8360755200],
[[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 179327/5016453120],
[[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 13/20643840],
[[[1, 3], [2, 8], [4, 2], [8, 1], [9, 1]], 13/5308416],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 17323/185794560],
[[[1, 3], [2, 8], [4, 2], [8, 1], [18, 1]], 839/61931520],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 22541/103219200],
[[[1, 3], [2, 8], [4, 2], [10, 1], [18, 1]], 577/23224320],
[[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 739/69672960],
[[[1, 3], [2, 8], [4, 2], [12, 1], [18, 1]], 29/69672960],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 11/2211840],
[[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 973/132710400],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 91427/3981312000],
[[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 11/10321920],
[[[1, 3], [2, 8], [4, 3], [6, 1], [9, 1]], 11/7962624],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 24655/334430208],
[[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 156077/5016453120],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 679/9953280],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 101977/1393459200],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 6889/557383680],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 5203/77414400],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 293/39813120],
[[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 17/1843200],
[[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 37/22118400],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 34829/955514880],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 58007/2388787200],
[[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 3161/1486356480],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 2083/13824000],
[[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 47/3628800],
[[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 1429/111974400],
[[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 1/622080],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 6953/172032000],
[[[1, 3], [2, 8], [5, 1], [6, 3], [12, 1]], 1/777600],
[[[1, 3], [2, 8], [5, 1], [7, 1], [8, 1]], 1/19353600],
[[[1, 3], [2, 8], [5, 1], [8, 1], [14, 1]], 1/537600],
[[[1, 3], [2, 8], [5, 1], [9, 1], [10, 1]], 1/1036800],
[[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 181/6048000],
[[[1, 3], [2, 8], [5, 1], [10, 1], [18, 1]], 673/193536000],
[[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 3509/33177600],
[[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 3], [2, 8], [6, 1], [10, 2], [12, 1]], 2209/193536000],
[[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 1657/34836480],
[[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 203/2488320],
[[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 15967/268738560],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 4163/16588800],
[[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 86729/447897600],
[[[1, 3], [2, 8], [6, 2], [12, 1], [14, 1]], 127/6635520],
[[[1, 3], [2, 8], [6, 2], [12, 1], [18, 1]], 5/1327104],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 85093/1791590400],
[[[1, 3], [2, 8], [6, 3], [8, 1], [12, 1]], 277/119439360],
[[[1, 3], [2, 8], [6, 3], [10, 1], [12, 1]], 4781/199065600],
[[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 33853/348364800],
[[[1, 3], [2, 8], [8, 1], [10, 1], [18, 1]], 73/24883200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 3979793/90296156160],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 71/1337720832],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 10391/1161216000],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 553693/17199267840],
[[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/123863040],
[[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/53084160],
[[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 2207/433520640],
[[[1, 3], [2, 10], [3, 1], [4, 2], [18, 1]], 31/557383680],
[[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1/82575360],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 5614897/481579499520],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 6337/4459069440],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 187/55738368],
[[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 67/2972712960],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 133171/80263249920],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 289/447897600],
[[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/663552000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 263/1672151040],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 970247/20901888000],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 64031/1755758592],
[[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 113503/11287019520],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 11368087/902961561600],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 455237/4702924800],
[[[1, 3], [2, 10], [3, 1], [6, 3], [12, 1]], 17299/7524679680],
[[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 253/597196800],
[[[1, 3], [2, 10], [3, 1], [8, 1], [18, 1]], 47/12541132800],
[[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 4993/914457600],
[[[1, 3], [2, 10], [3, 1], [10, 1], [18, 1]], 1/9331200],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 1272889/60197437440],
[[[1, 3], [2, 10], [3, 2], [4, 1], [9, 1]], 1/318504960],
[[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 127/418037760],
[[[1, 3], [2, 10], [3, 2], [4, 1], [18, 1]], 1/418037760],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 4453/668860416],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/41287680],
[[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 83/348364800],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 197033/401316249600],
[[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 463/25082265600],
[[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 13/1194393600],
[[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/278691840],
[[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/119439360],
[[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 32887/21946982400],
[[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 1/11757312],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 25307/20065812480],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 358979/18811699200],
[[[1, 3], [2, 10], [3, 2], [6, 2], [12, 1]], 5/188116992],
[[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 1/34836480],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 8737/10032906240],
[[[1, 3], [2, 10], [3, 3], [4, 1], [8, 1]], 1/7644119040],
[[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 1/87091200],
[[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 251/2675441664],
[[[1, 3], [2, 10], [3, 3], [6, 1], [8, 1]], 47/100329062400],
[[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 337/3135283200],
[[[1, 3], [2, 10], [3, 4], [4, 1], [6, 1]], 13/20065812480],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 1339657/752467968000],
[[[1, 3], [2, 10], [4, 1], [5, 1], [7, 1]], 1/412876800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 2341/3483648000],
[[[1, 3], [2, 10], [4, 1], [5, 1], [18, 1]], 137/10450944000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 3793/743178240],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 5407/41472000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [12, 2]], 47/8360755200],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 103723/1463132160],
[[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 544661/15049359360],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 139417/5016453120],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 665053/7166361600],
[[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 2916097/451480780800],
[[[1, 3], [2, 10], [4, 1], [8, 1], [9, 1]], 1/106168320],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 1591/162570240],
[[[1, 3], [2, 10], [4, 1], [8, 1], [18, 1]], 31/69672960],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 1132253/19508428800],
[[[1, 3], [2, 10], [4, 1], [10, 1], [18, 1]], 349/99532800],
[[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 691/2090188800],
[[[1, 3], [2, 10], [4, 1], [12, 1], [18, 1]], 47/6270566400],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 3079/2090188800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 733/5573836800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 220847/55738368000],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 12631/278691840],
[[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 12499/836075520],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 25679/836075520],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 1437967/16721510400],
[[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 2597/573308928],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 57419/1857945600],
[[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 71/668860416],
[[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 1193/1045094400],
[[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 1363/2786918400],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 169891/13377208320],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 439471/16721510400],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 20011/22295347200],
[[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 121/87091200],
[[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 59/261273600],
[[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 1/8294400],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 28241/2322432000],
[[[1, 3], [2, 10], [5, 1], [6, 2], [12, 1]], 37/1045094400],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1199/2322432000],
[[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 71441/5852528640],
[[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 1661/836075520],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 320473/4877107200],
[[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 53/3317760],
[[[1, 3], [2, 10], [6, 1], [12, 1], [14, 1]], 263/406425600],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 313391/12541132800],
[[[1, 3], [2, 10], [6, 2], [8, 1], [12, 1]], 293/2006581248],
[[[1, 3], [2, 10], [6, 2], [10, 1], [12, 1]], 7471/2090188800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 42862091/5675758387200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 113/522547200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [18, 1]], 223/137952460800],
[[[1, 3], [2, 12], [3, 1], [4, 2], [5, 1]], 67/459841536000],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 202297/68976230400],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 2567/66886041600],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 29/66355200],
[[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 67/275904921600],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 181487/413857382400],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 13/783820800],
[[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 1/522547200],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 504337/551809843200],
[[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 334727/4966288588800],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 52523/103464345600],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 46807/5573836800],
[[[1, 3], [2, 12], [3, 1], [6, 2], [12, 1]], 172807/6621718118400],
[[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 4967/229920768000],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 685003/1203948748800],
[[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 173/367873228800],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 1/78382080],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 849943/10594748989440],
[[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 67/2759049216000],
[[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 937/275904921600],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1123723/8277147648000],
[[[1, 3], [2, 12], [3, 2], [6, 1], [12, 1]], 67/1655429529600],
[[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 1549/3310859059200],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 12247/98537472000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 113/76640256000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 8271/50462720000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 2820157/468202291200],
[[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 6887/7431782400],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 189511/57330892800],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 1094099/50164531200],
[[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 453697/1655429529600],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 159221/111476736000],
[[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 67/183936614400],
[[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 2987/114960384000],
[[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 29/746496000],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 177997/80263249920],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 7344187/668860416000],
[[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 794483/8828957491200],
[[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 1/696729600],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 8381/18579456000],
[[[1, 3], [2, 12], [5, 1], [6, 1], [12, 1]], 67/459841536000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 5521/3583180800],
[[[1, 3], [2, 12], [6, 1], [8, 1], [12, 1]], 79/68976230400],
[[[1, 3], [2, 12], [6, 1], [10, 1], [12, 1]], 28661/459841536000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/344881152000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 14413/59122483200],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 797/1765791498240],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 76343/5518098432000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 1/827714764800],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 6659/157659955200],
[[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/17244057600],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 11339/3310859059200],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 17314681/154506756096000],
[[[1, 3], [2, 14], [3, 1], [6, 1], [12, 1]], 73/6621718118400],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 50027/21189497978880],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 541/344881152000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 699829/8828957491200],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 20796397/22072393728000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 127621/52973744947200],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 441361/278112160972800],
[[[1, 3], [3, 1], [4, 2], [6, 2], [12, 3]], 1/6912],
[[[1, 3], [3, 1], [4, 2], [6, 4], [12, 2]], 1/373248],
[[[1, 3], [3, 1], [4, 2], [9, 1], [11, 1]], 1/38016],
[[[1, 3], [3, 1], [4, 4], [6, 2], [12, 2]], 1/221184],
[[[1, 3], [3, 1], [4, 4], [6, 4], [12, 1]], 1/11943936],
[[[1, 3], [3, 1], [5, 1], [6, 2], [7, 2]], 1/70560],
[[[1, 3], [3, 1], [5, 1], [7, 2], [12, 1]], 1/11760],
[[[1, 3], [3, 1], [6, 2], [7, 1], [11, 1]], 1/22176],
[[[1, 3], [3, 1], [7, 1], [11, 1], [12, 1]], 1/3696],
[[[1, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/31104],
[[[1, 3], [3, 2], [4, 2], [6, 2], [11, 1]], 1/304128],
[[[1, 3], [3, 2], [4, 2], [11, 1], [12, 1]], 1/50688],
[[[1, 3], [3, 3], [4, 1], [8, 1], [11, 1]], 1/912384],
[[[1, 3], [3, 3], [4, 2], [6, 2], [12, 2]], 1/41472],
[[[1, 3], [3, 3], [4, 4], [6, 2], [12, 1]], 1/1327104],
[[[1, 3], [3, 3], [6, 2], [7, 1], [9, 1]], 1/54432],
[[[1, 3], [3, 3], [7, 1], [9, 1], [12, 1]], 1/9072],
[[[1, 3], [3, 4], [4, 2], [5, 1], [7, 1]], 1/8709120],
[[[1, 3], [3, 4], [4, 2], [6, 2], [9, 1]], 1/746496],
[[[1, 3], [3, 4], [4, 2], [9, 1], [12, 1]], 1/124416],
[[[1, 3], [3, 5], [4, 1], [8, 1], [9, 1]], 1/2239488],
[[[1, 3], [4, 1], [8, 1], [9, 1], [11, 1]], 1/12672],
[[[1, 4], [2, 1], [3, 1], [4, 3], [9, 2]], 1/746496],
[[[1, 4], [2, 1], [3, 1], [4, 4], [11, 1]], 1/405504],
[[[1, 4], [2, 1], [3, 1], [7, 1], [9, 2]], 1/3402],
[[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/5292],
[[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 23/746496],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 5]], 1/71663616],
[[[1, 4], [2, 1], [3, 2], [4, 3], [11, 1]], 1/1824768],
[[[1, 4], [2, 1], [3, 2], [4, 5], [9, 1]], 1/3981312],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/26460],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/12960],
[[[1, 4], [2, 1], [3, 2], [6, 2], [7, 2]], 1/42336],
[[[1, 4], [2, 1], [3, 2], [6, 3], [11, 1]], 1/38016],
[[[1, 4], [2, 1], [3, 2], [7, 1], [11, 1]], 1/8316],
[[[1, 4], [2, 1], [3, 2], [7, 2], [12, 1]], 1/7056],
[[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/62208],
[[[1, 4], [2, 1], [3, 2], [9, 1], [11, 1]], 1/28512],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 2]], 1/508032],
[[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 1/15552],
[[[1, 4], [2, 1], [3, 3], [4, 2], [11, 1]], 199/21897216],
[[[1, 4], [2, 1], [3, 3], [4, 3], [5, 2]], 1/99532800],
[[[1, 4], [2, 1], [3, 3], [4, 4], [9, 1]], 1/995328],
[[[1, 4], [2, 1], [3, 3], [5, 1], [11, 1]], 1/380160],
[[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/518400],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/11664],
[[[1, 4], [2, 1], [3, 3], [6, 2], [11, 1]], 1/228096],
[[[1, 4], [2, 1], [3, 3], [6, 5], [8, 1]], 1/4478976],
[[[1, 4], [2, 1], [3, 3], [8, 1], [11, 1]], 1/1824768],
[[[1, 4], [2, 1], [3, 3], [11, 1], [12, 1]], 1/38016],
[[[1, 4], [2, 1], [3, 4], [4, 1], [11, 1]], 1/456192],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 2]], 1/12441600],
[[[1, 4], [2, 1], [3, 4], [4, 2], [8, 2]], 1/1990656],
[[[1, 4], [2, 1], [3, 4], [4, 3], [6, 3]], 1/7962624],
[[[1, 4], [2, 1], [3, 4], [4, 3], [7, 1]], 1/5971968],
[[[1, 4], [2, 1], [3, 4], [4, 3], [9, 1]], 5/17915904],
[[[1, 4], [2, 1], [3, 4], [6, 1], [11, 1]], 1/342144],
[[[1, 4], [2, 1], [3, 4], [6, 3], [7, 1]], 1/217728],
[[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 1/93312],
[[[1, 4], [2, 1], [3, 4], [7, 1], [9, 1]], 1/18144],
[[[1, 4], [2, 1], [3, 5], [4, 1], [12, 2]], 1/1119744],
[[[1, 4], [2, 1], [3, 5], [4, 2], [6, 3]], 1/2985984],
[[[1, 4], [2, 1], [3, 5], [4, 2], [7, 1]], 1/5225472],
[[[1, 4], [2, 1], [3, 5], [4, 2], [9, 1]], 223/53747712],
[[[1, 4], [2, 1], [3, 5], [4, 3], [5, 1]], 7/89579520],
[[[1, 4], [2, 1], [3, 5], [4, 3], [6, 2]], 1/214990848],
[[[1, 4], [2, 1], [3, 5], [4, 3], [8, 1]], 1/5971968],
[[[1, 4], [2, 1], [3, 5], [4, 3], [12, 1]], 1/35831808],
[[[1, 4], [2, 1], [3, 5], [5, 1], [7, 1]], 1/1306368],
[[[1, 4], [2, 1], [3, 5], [5, 1], [9, 1]], 1/933120],
[[[1, 4], [2, 1], [3, 5], [6, 2], [7, 1]], 1/3919104],
[[[1, 4], [2, 1], [3, 5], [6, 2], [9, 1]], 1/559872],
[[[1, 4], [2, 1], [3, 5], [6, 3], [8, 1]], 7/3359232],
[[[1, 4], [2, 1], [3, 5], [7, 1], [12, 1]], 1/653184],
[[[1, 4], [2, 1], [3, 5], [8, 1], [9, 1]], 1/4478976],
[[[1, 4], [2, 1], [3, 5], [9, 1], [12, 1]], 1/93312],
[[[1, 4], [2, 1], [3, 6], [4, 1], [9, 1]], 1/1119744],
[[[1, 4], [2, 1], [3, 6], [4, 2], [5, 1]], 1/22394880],
[[[1, 4], [2, 1], [3, 6], [4, 2], [6, 2]], 1/53747712],
[[[1, 4], [2, 1], [3, 6], [4, 2], [12, 1]], 1/8957952],
[[[1, 4], [2, 1], [3, 6], [6, 1], [7, 1]], 1/1959552],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 1/839808],
[[[1, 4], [2, 1], [3, 7], [4, 1], [8, 1]], 1/161243136],
[[[1, 4], [2, 1], [3, 7], [4, 1], [10, 1]], 1/100776960],
[[[1, 4], [2, 1], [3, 7], [4, 1], [12, 1]], 1/60466176],
[[[1, 4], [2, 1], [3, 7], [4, 2], [6, 1]], 1/26873856],
[[[1, 4], [2, 1], [3, 7], [6, 1], [8, 1]], 1/120932352],
[[[1, 4], [2, 1], [4, 1], [7, 2], [9, 1]], 1/7056],
[[[1, 4], [2, 1], [4, 1], [8, 2], [11, 1]], 1/11264],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 2]], 1/94080],
[[[1, 4], [2, 1], [4, 2], [7, 1], [11, 1]], 1/29568],
[[[1, 4], [2, 1], [4, 2], [9, 1], [11, 1]], 7/304128],
[[[1, 4], [2, 1], [4, 3], [5, 1], [11, 1]], 1/168960],
[[[1, 4], [2, 1], [4, 3], [5, 2], [7, 1]], 1/537600],
[[[1, 4], [2, 1], [4, 3], [5, 2], [9, 1]], 1/1382400],
[[[1, 4], [2, 1], [4, 3], [8, 1], [11, 1]], 1/135168],
[[[1, 4], [2, 1], [4, 3], [10, 1], [11, 1]], 1/84480],
[[[1, 4], [2, 1], [4, 3], [11, 1], [12, 1]], 1/50688],
[[[1, 4], [2, 1], [4, 5], [5, 1], [7, 1]], 1/5160960],
[[[1, 4], [2, 1], [4, 5], [6, 3], [8, 1]], 1/31850496],
[[[1, 4], [2, 1], [4, 5], [8, 1], [18, 1]], 1/442368],
[[[1, 4], [2, 1], [5, 1], [7, 1], [11, 1]], 1/1540],
[[[1, 4], [2, 1], [5, 1], [7, 2], [8, 1]], 1/7840],
[[[1, 4], [2, 1], [5, 1], [9, 1], [11, 1]], 1/5280],
[[[1, 4], [2, 1], [5, 2], [7, 1], [9, 1]], 1/7200],
[[[1, 4], [2, 1], [6, 2], [8, 1], [18, 2]], 1/186624],
[[[1, 4], [2, 1], [6, 3], [8, 1], [22, 1]], 1/5474304],
[[[1, 4], [2, 1], [6, 5], [8, 1], [18, 1]], 1/13436928],
[[[1, 4], [2, 1], [7, 1], [8, 1], [11, 1]], 1/2464],
[[[1, 4], [2, 1], [8, 1], [9, 1], [11, 1]], 1/25344],
[[[1, 4], [2, 1], [8, 1], [18, 1], [22, 1]], 1/76032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 7]], 1/483729408],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/384000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 6]], 1/7962624],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 1/12288],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 2]], 7/82944],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 5]], 31/107495424],
[[[1, 4], [2, 3], [3, 1], [4, 3], [11, 1]], 13/608256],
[[[1, 4], [2, 3], [3, 1], [4, 3], [22, 1]], 43/608256],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/460800],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 4]], 1/23887872],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 11/294912],
[[[1, 4], [2, 3], [3, 1], [4, 4], [10, 2]], 1/1843200],
[[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 1/6193152],
[[[1, 4], [2, 3], [3, 1], [4, 5], [9, 1]], 5/2654208],
[[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 1/516096],
[[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 1/8847360],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 5/1769472],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 6]], 1/5598720],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/7840],
[[[1, 4], [2, 3], [3, 1], [5, 1], [9, 2]], 1/7776],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 4]], 1/1036800],
[[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/288000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [12, 1]], 1/48000],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/112896],
[[[1, 4], [2, 3], [3, 1], [6, 2], [9, 2]], 1/34992],
[[[1, 4], [2, 3], [3, 1], [6, 2], [14, 2]], 1/42336],
[[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 19/279936],
[[[1, 4], [2, 3], [3, 1], [6, 3], [11, 1]], 31/912384],
[[[1, 4], [2, 3], [3, 1], [6, 3], [22, 1]], 151/8211456],
[[[1, 4], [2, 3], [3, 1], [6, 4], [10, 2]], 1/2332800],
[[[1, 4], [2, 3], [3, 1], [6, 5], [14, 1]], 1/3919104],
[[[1, 4], [2, 3], [3, 1], [6, 5], [18, 1]], 163/20155392],
[[[1, 4], [2, 3], [3, 1], [6, 6], [8, 1]], 7/53747712],
[[[1, 4], [2, 3], [3, 1], [6, 6], [10, 1]], 1/11197440],
[[[1, 4], [2, 3], [3, 1], [7, 1], [11, 1]], 1/7392],
[[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/9408],
[[[1, 4], [2, 3], [3, 1], [7, 2], [12, 1]], 1/18816],
[[[1, 4], [2, 3], [3, 1], [8, 1], [9, 2]], 17/186624],
[[[1, 4], [2, 3], [3, 1], [8, 1], [10, 3]], 1/96000],
[[[1, 4], [2, 3], [3, 1], [8, 2], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [9, 1], [11, 1]], 5/76032],
[[[1, 4], [2, 3], [3, 1], [9, 2], [10, 1]], 1/9720],
[[[1, 4], [2, 3], [3, 1], [18, 1], [22, 1]], 7/114048],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 6]], 1/2239488],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 121/746496],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 5]], 91/47775744],
[[[1, 4], [2, 3], [3, 2], [4, 2], [11, 1]], 1/22528],
[[[1, 4], [2, 3], [3, 2], [4, 2], [22, 1]], 1/16896],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 91/16588800],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 4]], 1/995328],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 11/221184],
[[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 1/55296],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 3]], 1/1327104],
[[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 1/1161216],
[[[1, 4], [2, 3], [3, 2], [4, 4], [9, 1]], 77/7962624],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/1769472],
[[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 1/5308416],
[[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 1/884736],
[[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 1/42467328],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 5]], 7/3732480],
[[[1, 4], [2, 3], [3, 2], [5, 1], [11, 1]], 1/19008],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 3]], 7/518400],
[[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/37800],
[[[1, 4], [2, 3], [3, 2], [5, 2], [9, 1]], 13/129600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 5/42336],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 59/279936],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 1/1152000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [18, 2]], 1/46656],
[[[1, 4], [2, 3], [3, 2], [6, 2], [11, 1]], 1549/5474304],
[[[1, 4], [2, 3], [3, 2], [6, 2], [22, 1]], 493/3649536],
[[[1, 4], [2, 3], [3, 2], [6, 3], [8, 2]], 1/82944],
[[[1, 4], [2, 3], [3, 2], [6, 3], [10, 2]], 1/18662400],
[[[1, 4], [2, 3], [3, 2], [6, 4], [7, 1]], 1/435456],
[[[1, 4], [2, 3], [3, 2], [6, 4], [9, 1]], 1/279936],
[[[1, 4], [2, 3], [3, 2], [6, 4], [14, 1]], 181/7838208],
[[[1, 4], [2, 3], [3, 2], [6, 4], [18, 1]], 1679/26873856],
[[[1, 4], [2, 3], [3, 2], [6, 5], [8, 1]], 95/26873856],
[[[1, 4], [2, 3], [3, 2], [6, 5], [10, 1]], 17/22394880],
[[[1, 4], [2, 3], [3, 2], [6, 5], [12, 1]], 1/186624],
[[[1, 4], [2, 3], [3, 2], [8, 1], [11, 1]], 17/456192],
[[[1, 4], [2, 3], [3, 2], [8, 1], [22, 1]], 5/76032],
[[[1, 4], [2, 3], [3, 2], [8, 2], [9, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [10, 1], [11, 1]], 1/23760],
[[[1, 4], [2, 3], [3, 2], [10, 1], [22, 1]], 1/31680],
[[[1, 4], [2, 3], [3, 2], [10, 2], [14, 1]], 1/100800],
[[[1, 4], [2, 3], [3, 2], [10, 2], [18, 1]], 1/259200],
[[[1, 4], [2, 3], [3, 2], [11, 1], [12, 1]], 5/101376],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 5]], 37/53747712],
[[[1, 4], [2, 3], [3, 3], [4, 1], [11, 1]], 83/1990656],
[[[1, 4], [2, 3], [3, 3], [4, 1], [22, 1]], 1/38016],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 17/16588800],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 4]], 89/15925248],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 13/1327104],
[[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 1/41472],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 115/11943936],
[[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 13/2985984],
[[[1, 4], [2, 3], [3, 3], [4, 3], [9, 1]], 113/8957952],
[[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 13/29859840],
[[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 5/1990656],
[[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 401/95551488],
[[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 1/331776],
[[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 1/15925248],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 4]], 139/7464960],
[[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 1/1036800],
[[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 1/933120],
[[[1, 4], [2, 3], [3, 3], [5, 2], [8, 1]], 1/3110400],
[[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 17/5184000],
[[[1, 4], [2, 3], [3, 3], [5, 2], [12, 1]], 1/172800],
[[[1, 4], [2, 3], [3, 3], [6, 1], [11, 1]], 703/8211456],
[[[1, 4], [2, 3], [3, 3], [6, 1], [22, 1]], 13/304128],
[[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 5/165888],
[[[1, 4], [2, 3], [3, 3], [6, 2], [10, 2]], 1/259200],
[[[1, 4], [2, 3], [3, 3], [6, 3], [7, 1]], 29/435456],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 163/2239488],
[[[1, 4], [2, 3], [3, 3], [6, 3], [14, 1]], 25/435456],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 155/2239488],
[[[1, 4], [2, 3], [3, 3], [6, 4], [8, 1]], 31/1327104],
[[[1, 4], [2, 3], [3, 3], [6, 4], [10, 1]], 11/11197440],
[[[1, 4], [2, 3], [3, 3], [6, 4], [12, 1]], 13/373248],
[[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 2]], 1/1382400],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 4]], 1/124416],
[[[1, 4], [2, 3], [3, 4], [4, 1], [8, 2]], 1/1327104],
[[[1, 4], [2, 3], [3, 4], [4, 1], [12, 2]], 1/186624],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 3]], 119/15925248],
[[[1, 4], [2, 3], [3, 4], [4, 2], [7, 1]], 55/13934592],
[[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 71/2985984],
[[[1, 4], [2, 3], [3, 4], [4, 3], [5, 1]], 11/5971968],
[[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 103/35831808],
[[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 115/23887872],
[[[1, 4], [2, 3], [3, 4], [4, 3], [10, 1]], 1/4976640],
[[[1, 4], [2, 3], [3, 4], [4, 3], [12, 1]], 1/497664],
[[[1, 4], [2, 3], [3, 4], [4, 4], [6, 1]], 7/143327232],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 3]], 17/2799360],
[[[1, 4], [2, 3], [3, 4], [5, 1], [7, 1]], 29/17418240],
[[[1, 4], [2, 3], [3, 4], [5, 1], [9, 1]], 11/466560],
[[[1, 4], [2, 3], [3, 4], [5, 2], [6, 1]], 7/4665600],
[[[1, 4], [2, 3], [3, 4], [6, 1], [8, 2]], 1/1492992],
[[[1, 4], [2, 3], [3, 4], [6, 1], [10, 2]], 1/2073600],
[[[1, 4], [2, 3], [3, 4], [6, 2], [7, 1]], 31/559872],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 671/4478976],
[[[1, 4], [2, 3], [3, 4], [6, 2], [14, 1]], 1/870912],
[[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 1/124416],
[[[1, 4], [2, 3], [3, 4], [6, 3], [8, 1]], 1063/35831808],
[[[1, 4], [2, 3], [3, 4], [6, 3], [10, 1]], 7/829440],
[[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 23/746496],
[[[1, 4], [2, 3], [3, 4], [7, 1], [8, 1]], 1/1306368],
[[[1, 4], [2, 3], [3, 4], [7, 1], [10, 1]], 1/1088640],
[[[1, 4], [2, 3], [3, 4], [8, 1], [9, 1]], 19/1119744],
[[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 4], [9, 1], [12, 1]], 5/248832],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 3]], 65/17915904],
[[[1, 4], [2, 3], [3, 5], [4, 1], [7, 1]], 5/5225472],
[[[1, 4], [2, 3], [3, 5], [4, 1], [9, 1]], 985/53747712],
[[[1, 4], [2, 3], [3, 5], [4, 2], [5, 1]], 7/11943936],
[[[1, 4], [2, 3], [3, 5], [4, 2], [6, 2]], 37/8957952],
[[[1, 4], [2, 3], [3, 5], [4, 2], [8, 1]], 5/3981312],
[[[1, 4], [2, 3], [3, 5], [4, 2], [10, 1]], 1/3732480],
[[[1, 4], [2, 3], [3, 5], [4, 2], [12, 1]], 59/71663616],
[[[1, 4], [2, 3], [3, 5], [4, 3], [6, 1]], 25/53747712],
[[[1, 4], [2, 3], [3, 5], [5, 1], [6, 2]], 13/6718464],
[[[1, 4], [2, 3], [3, 5], [5, 1], [8, 1]], 7/44789760],
[[[1, 4], [2, 3], [3, 5], [5, 1], [10, 1]], 1/2073600],
[[[1, 4], [2, 3], [3, 5], [5, 1], [12, 1]], 1/3732480],
[[[1, 4], [2, 3], [3, 5], [6, 1], [7, 1]], 7/559872],
[[[1, 4], [2, 3], [3, 5], [6, 1], [9, 1]], 763/20155392],
[[[1, 4], [2, 3], [3, 5], [6, 2], [8, 1]], 11/2239488],
[[[1, 4], [2, 3], [3, 5], [6, 2], [10, 1]], 19/11197440],
[[[1, 4], [2, 3], [3, 5], [6, 2], [12, 1]], 43/1679616],
[[[1, 4], [2, 3], [3, 5], [8, 1], [12, 1]], 7/17915904],
[[[1, 4], [2, 3], [3, 5], [10, 1], [12, 1]], 1/1866240],
[[[1, 4], [2, 3], [3, 6], [4, 1], [6, 2]], 1/2239488],
[[[1, 4], [2, 3], [3, 6], [4, 1], [10, 1]], 1/4199040],
[[[1, 4], [2, 3], [3, 6], [4, 1], [12, 1]], 1/2519424],
[[[1, 4], [2, 3], [3, 6], [4, 2], [6, 1]], 209/214990848],
[[[1, 4], [2, 3], [3, 6], [5, 1], [6, 1]], 13/33592320],
[[[1, 4], [2, 3], [3, 6], [6, 1], [8, 1]], 59/161243136],
[[[1, 4], [2, 3], [3, 6], [6, 1], [10, 1]], 1/5598720],
[[[1, 4], [2, 3], [3, 6], [6, 1], [12, 1]], 1/3359232],
[[[1, 4], [2, 3], [3, 7], [4, 1], [6, 1]], 37/161243136],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 19/94080],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 1/80000],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/102400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 3/8000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/128000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 3/80000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [12, 1]], 1/16000],
[[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 7/248832],
[[[1, 4], [2, 3], [4, 1], [6, 3], [11, 1]], 1/38016],
[[[1, 4], [2, 3], [4, 1], [6, 3], [22, 1]], 7/7299072],
[[[1, 4], [2, 3], [4, 1], [6, 4], [8, 2]], 7/11943936],
[[[1, 4], [2, 3], [4, 1], [6, 4], [10, 2]], 1/6220800],
[[[1, 4], [2, 3], [4, 1], [6, 5], [18, 1]], 7/17915904],
[[[1, 4], [2, 3], [4, 1], [7, 1], [11, 1]], 1/4224],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/6272],
[[[1, 4], [2, 3], [4, 1], [9, 1], [11, 1]], 49/304128],
[[[1, 4], [2, 3], [4, 1], [10, 1], [14, 2]], 1/94080],
[[[1, 4], [2, 3], [4, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 4], [2, 3], [4, 1], [14, 1], [22, 1]], 1/29568],
[[[1, 4], [2, 3], [4, 1], [18, 1], [22, 1]], 7/101376],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 5]], 1/7464960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [11, 1]], 31/168960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [22, 1]], 7/84480],
[[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 31/537600],
[[[1, 4], [2, 3], [4, 2], [5, 2], [9, 1]], 1/46080],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/9408],
[[[1, 4], [2, 3], [4, 2], [6, 1], [18, 2]], 1/18432],
[[[1, 4], [2, 3], [4, 2], [6, 2], [11, 1]], 19/304128],
[[[1, 4], [2, 3], [4, 2], [6, 2], [22, 1]], 1/45056],
[[[1, 4], [2, 3], [4, 2], [6, 3], [8, 2]], 1/1327104],
[[[1, 4], [2, 3], [4, 2], [6, 3], [10, 2]], 1/7372800],
[[[1, 4], [2, 3], [4, 2], [6, 3], [12, 2]], 1/82944],
[[[1, 4], [2, 3], [4, 2], [6, 4], [14, 1]], 1/3096576],
[[[1, 4], [2, 3], [4, 2], [6, 4], [18, 1]], 13/1327104],
[[[1, 4], [2, 3], [4, 2], [6, 5], [12, 1]], 1/4478976],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 5/28672],
[[[1, 4], [2, 3], [4, 2], [8, 1], [11, 1]], 37/202752],
[[[1, 4], [2, 3], [4, 2], [8, 1], [22, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [8, 2], [9, 1]], 1/18432],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/7168],
[[[1, 4], [2, 3], [4, 2], [8, 2], [18, 1]], 1/18432],
[[[1, 4], [2, 3], [4, 2], [10, 1], [11, 1]], 1/8448],
[[[1, 4], [2, 3], [4, 2], [10, 1], [22, 1]], 9/112640],
[[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 9/358400],
[[[1, 4], [2, 3], [4, 2], [10, 2], [18, 1]], 1/102400],
[[[1, 4], [2, 3], [4, 2], [11, 1], [12, 1]], 1/5632],
[[[1, 4], [2, 3], [4, 2], [12, 1], [22, 1]], 7/50688],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 4]], 1/4976640],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 7/307200],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 1/614400],
[[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 9/512000],
[[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 1/460800],
[[[1, 4], [2, 3], [4, 3], [6, 1], [11, 1]], 5/55296],
[[[1, 4], [2, 3], [4, 3], [6, 1], [22, 1]], 1/202752],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/147456],
[[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/5529600],
[[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 1/55296],
[[[1, 4], [2, 3], [4, 3], [6, 3], [14, 1]], 5/4644864],
[[[1, 4], [2, 3], [4, 3], [6, 3], [18, 1]], 1/331776],
[[[1, 4], [2, 3], [4, 3], [6, 4], [8, 1]], 11/7962624],
[[[1, 4], [2, 3], [4, 3], [6, 4], [10, 1]], 7/29859840],
[[[1, 4], [2, 3], [4, 3], [6, 4], [12, 1]], 1/2985984],
[[[1, 4], [2, 3], [4, 3], [7, 1], [9, 1]], 1/18144],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 1/1228800],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/40960],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/12288],
[[[1, 4], [2, 3], [4, 3], [14, 1], [18, 1]], 1/21504],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 3]], 1/19906560],
[[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 31/3440640],
[[[1, 4], [2, 3], [4, 4], [5, 1], [9, 1]], 1/414720],
[[[1, 4], [2, 3], [4, 4], [5, 1], [18, 1]], 1/276480],
[[[1, 4], [2, 3], [4, 4], [5, 2], [6, 1]], 1/921600],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 11/294912],
[[[1, 4], [2, 3], [4, 4], [6, 1], [10, 2]], 1/921600],
[[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 1/221184],
[[[1, 4], [2, 3], [4, 4], [6, 2], [14, 1]], 1/1548288],
[[[1, 4], [2, 3], [4, 4], [6, 2], [18, 1]], 1/442368],
[[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 115/31850496],
[[[1, 4], [2, 3], [4, 4], [6, 3], [10, 1]], 13/39813120],
[[[1, 4], [2, 3], [4, 4], [6, 3], [12, 1]], 11/23887872],
[[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 5/344064],
[[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 1/215040],
[[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 1/129024],
[[[1, 4], [2, 3], [4, 4], [8, 1], [9, 1]], 17/1327104],
[[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 1/344064],
[[[1, 4], [2, 3], [4, 4], [8, 1], [18, 1]], 19/442368],
[[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 19/5160960],
[[[1, 4], [2, 3], [4, 4], [10, 1], [18, 1]], 1/552960],
[[[1, 4], [2, 3], [4, 4], [12, 1], [18, 1]], 1/165888],
[[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 1/163840],
[[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/983040],
[[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 1/516096],
[[[1, 4], [2, 3], [4, 5], [6, 1], [18, 1]], 1/663552],
[[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1/1327104],
[[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 1/884736],
[[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/122880],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/73728],
[[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 1/7077888],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 2]], 1/35280],
[[[1, 4], [2, 3], [5, 1], [6, 1], [18, 2]], 1/12960],
[[[1, 4], [2, 3], [5, 1], [6, 2], [11, 1]], 1/15840],
[[[1, 4], [2, 3], [5, 1], [6, 2], [22, 1]], 1/31680],
[[[1, 4], [2, 3], [5, 1], [6, 3], [10, 2]], 11/5184000],
[[[1, 4], [2, 3], [5, 1], [6, 4], [14, 1]], 1/2177280],
[[[1, 4], [2, 3], [5, 1], [6, 4], [18, 1]], 13/933120],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 3/71680],
[[[1, 4], [2, 3], [5, 1], [8, 1], [11, 1]], 17/42240],
[[[1, 4], [2, 3], [5, 1], [8, 1], [22, 1]], 1/7040],
[[[1, 4], [2, 3], [5, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 3], [5, 1], [10, 1], [11, 1]], 1/4400],
[[[1, 4], [2, 3], [5, 1], [10, 1], [22, 1]], 1/8800],
[[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 3/14000],
[[[1, 4], [2, 3], [5, 1], [10, 2], [18, 1]], 11/72000],
[[[1, 4], [2, 3], [5, 2], [6, 1], [8, 2]], 1/38400],
[[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/50400],
[[[1, 4], [2, 3], [5, 2], [6, 2], [9, 1]], 1/129600],
[[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 1/518400],
[[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 23/134400],
[[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 17/28000],
[[[1, 4], [2, 3], [5, 2], [8, 1], [9, 1]], 1/43200],
[[[1, 4], [2, 3], [5, 2], [9, 1], [10, 1]], 17/72000],
[[[1, 4], [2, 3], [5, 2], [10, 1], [18, 1]], 1/7200],
[[[1, 4], [2, 3], [5, 3], [6, 1], [8, 1]], 1/32000],
[[[1, 4], [2, 3], [6, 1], [7, 1], [11, 1]], 1/11088],
[[[1, 4], [2, 3], [6, 1], [8, 1], [18, 2]], 11/186624],
[[[1, 4], [2, 3], [6, 1], [9, 1], [11, 1]], 7/114048],
[[[1, 4], [2, 3], [6, 1], [10, 1], [18, 2]], 1/25920],
[[[1, 4], [2, 3], [6, 1], [10, 3], [12, 1]], 1/192000],
[[[1, 4], [2, 3], [6, 1], [18, 1], [22, 1]], 13/456192],
[[[1, 4], [2, 3], [6, 2], [8, 1], [11, 1]], 5/76032],
[[[1, 4], [2, 3], [6, 2], [8, 1], [22, 1]], 1/41472],
[[[1, 4], [2, 3], [6, 2], [8, 2], [18, 1]], 7/165888],
[[[1, 4], [2, 3], [6, 2], [10, 1], [22, 1]], 1/63360],
[[[1, 4], [2, 3], [6, 2], [10, 2], [14, 1]], 1/201600],
[[[1, 4], [2, 3], [6, 2], [10, 2], [18, 1]], 1/43200],
[[[1, 4], [2, 3], [6, 2], [12, 1], [22, 1]], 13/608256],
[[[1, 4], [2, 3], [6, 3], [8, 1], [10, 2]], 1/6220800],
[[[1, 4], [2, 3], [6, 4], [8, 1], [14, 1]], 1/2612736],
[[[1, 4], [2, 3], [6, 4], [8, 1], [18, 1]], 1/93312],
[[[1, 4], [2, 3], [6, 4], [10, 1], [14, 1]], 37/104509440],
[[[1, 4], [2, 3], [6, 4], [10, 1], [18, 1]], 13/1866240],
[[[1, 4], [2, 3], [6, 4], [12, 1], [18, 1]], 13/1492992],
[[[1, 4], [2, 3], [6, 5], [8, 1], [10, 1]], 1/44789760],
[[[1, 4], [2, 3], [6, 5], [8, 1], [12, 1]], 1/17915904],
[[[1, 4], [2, 3], [8, 1], [10, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 3], [8, 1], [10, 1], [22, 1]], 7/42240],
[[[1, 4], [2, 3], [8, 1], [10, 2], [14, 1]], 1/19200],
[[[1, 4], [2, 3], [8, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 4], [2, 3], [8, 2], [10, 1], [14, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 1/96000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 6]], 11201/1934917632],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/112896],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 7/73728],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 2]], 217/4976640],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 3/64000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 5/56448],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 19/1990656],
[[[1, 4], [2, 5], [3, 1], [4, 2], [11, 1]], 59/1216512],
[[[1, 4], [2, 5], [3, 1], [4, 2], [22, 1]], 271/1216512],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 29/1843200],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 749/71663616],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 11/55296],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 49/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 1/49152],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 755/95551488],
[[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 5/1548288],
[[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 77/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 139/3096576],
[[[1, 4], [2, 5], [3, 1], [4, 4], [18, 1]], 1/1327104],
[[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 19/8847360],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 325/42467328],
[[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 83/3538944],
[[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 1/552960],
[[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 7/2359296],
[[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 5/1769472],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1/174960],
[[[1, 4], [2, 5], [3, 1], [5, 1], [11, 1]], 13/253440],
[[[1, 4], [2, 5], [3, 1], [5, 1], [22, 1]], 1/31680],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/57600],
[[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [5, 2], [9, 1]], 91/2073600],
[[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 23/576000],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 4], [2, 5], [3, 1], [6, 1], [9, 2]], 11/279936],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/6400],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 5], [3, 1], [6, 1], [18, 2]], 7/139968],
[[[1, 4], [2, 5], [3, 1], [6, 2], [11, 1]], 2731/29196288],
[[[1, 4], [2, 5], [3, 1], [6, 2], [22, 1]], 13/62208],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 35/1990656],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 2731/37324800],
[[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/1161216],
[[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 383/5225472],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 253/1679616],
[[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 89/13436928],
[[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 1379/134369280],
[[[1, 4], [2, 5], [3, 1], [6, 5], [12, 1]], 95/13436928],
[[[1, 4], [2, 5], [3, 1], [7, 1], [8, 2]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [8, 1], [11, 1]], 85/1216512],
[[[1, 4], [2, 5], [3, 1], [8, 1], [22, 1]], 23/202752],
[[[1, 4], [2, 5], [3, 1], [8, 2], [9, 1]], 11/165888],
[[[1, 4], [2, 5], [3, 1], [8, 2], [14, 1]], 5/129024],
[[[1, 4], [2, 5], [3, 1], [10, 1], [11, 1]], 1/21120],
[[[1, 4], [2, 5], [3, 1], [10, 1], [22, 1]], 1/6336],
[[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 4], [2, 5], [3, 1], [10, 2], [18, 1]], 7/518400],
[[[1, 4], [2, 5], [3, 1], [11, 1], [12, 1]], 43/4866048],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 30905/859963392],
[[[1, 4], [2, 5], [3, 2], [4, 1], [11, 1]], 217/12165120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [22, 1]], 29/304128],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 1/409600],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 949/17915904],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 127/2654208],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 37/2764800],
[[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 1/55296],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 1441/23887872],
[[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 5/387072],
[[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 4169/119439360],
[[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 19/774144],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 5/2654208],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 157/5308416],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 73/2654208],
[[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1/829440],
[[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 115/7962624],
[[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 5/1572864],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 7/186624],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 1/552960],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/10800],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 203/1843200],
[[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 37/8294400],
[[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 71/1728000],
[[[1, 4], [2, 5], [3, 2], [5, 2], [12, 1]], 19/2764800],
[[[1, 4], [2, 5], [3, 2], [6, 1], [11, 1]], 439/5474304],
[[[1, 4], [2, 5], [3, 2], [6, 1], [22, 1]], 379/2654208],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 37/331776],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 28937/99532800],
[[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 29/559872],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 34271/125411328],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 79327/214990848],
[[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 593/6718464],
[[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 10247/89579520],
[[[1, 4], [2, 5], [3, 2], [6, 4], [12, 1]], 1483/17915904],
[[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 1/108864],
[[[1, 4], [2, 5], [3, 2], [8, 1], [10, 2]], 1/69120],
[[[1, 4], [2, 5], [3, 2], [14, 1], [18, 1]], 5/435456],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 2]], 719/221184000],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 54605/429981696],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 563/47775744],
[[[1, 4], [2, 5], [3, 3], [4, 1], [10, 2]], 1/172800],
[[[1, 4], [2, 5], [3, 3], [4, 1], [12, 2]], 1/497664],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1219/11943936],
[[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 247/37158912],
[[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 199/5971968],
[[[1, 4], [2, 5], [3, 3], [4, 2], [14, 1]], 1/96768],
[[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 277/59719680],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 4385/143327232],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 3365/127401984],
[[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 31/7962624],
[[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 23/1990656],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 5/1769472],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 467/3317760],
[[[1, 4], [2, 5], [3, 3], [5, 1], [7, 1]], 5563/836075520],
[[[1, 4], [2, 5], [3, 3], [5, 1], [9, 1]], 23/746496],
[[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 29/1866240],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 7/663552],
[[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 131/4147200],
[[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1847/20901888],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 11611/71663616],
[[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 85/1741824],
[[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 109/2239488],
[[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 211/995328],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 3571/14929920],
[[[1, 4], [2, 5], [3, 3], [6, 3], [12, 1]], 5/186624],
[[[1, 4], [2, 5], [3, 3], [7, 1], [8, 1]], 89/11943936],
[[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 5/580608],
[[[1, 4], [2, 5], [3, 3], [7, 1], [12, 1]], 1/165888],
[[[1, 4], [2, 5], [3, 3], [8, 1], [9, 1]], 397/8957952],
[[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 3], [9, 1], [12, 1]], 203/11943936],
[[[1, 4], [2, 5], [3, 3], [10, 1], [14, 1]], 1/362880],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 8995/95551488],
[[[1, 4], [2, 5], [3, 4], [4, 1], [7, 1]], 361/836075520],
[[[1, 4], [2, 5], [3, 4], [4, 1], [9, 1]], 7/884736],
[[[1, 4], [2, 5], [3, 4], [4, 2], [5, 1]], 31/79626240],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 311/11943936],
[[[1, 4], [2, 5], [3, 4], [4, 2], [8, 1]], 61/47775744],
[[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 43/14929920],
[[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 5/1119744],
[[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 283/71663616],
[[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 2963/89579520],
[[[1, 4], [2, 5], [3, 4], [5, 1], [8, 1]], 37/59719680],
[[[1, 4], [2, 5], [3, 4], [5, 1], [10, 1]], 263/298598400],
[[[1, 4], [2, 5], [3, 4], [5, 1], [12, 1]], 1/4976640],
[[[1, 4], [2, 5], [3, 4], [6, 1], [7, 1]], 41/7838208],
[[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 35/746496],
[[[1, 4], [2, 5], [3, 4], [6, 1], [14, 1]], 5/3483648],
[[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 233/5971968],
[[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 47/1244160],
[[[1, 4], [2, 5], [3, 4], [6, 2], [12, 1]], 169/5971968],
[[[1, 4], [2, 5], [3, 4], [8, 1], [12, 1]], 1/2985984],
[[[1, 4], [2, 5], [3, 5], [4, 1], [5, 1]], 271/1791590400],
[[[1, 4], [2, 5], [3, 5], [4, 1], [6, 2]], 66131/4299816960],
[[[1, 4], [2, 5], [3, 5], [4, 1], [8, 1]], 7/23887872],
[[[1, 4], [2, 5], [3, 5], [4, 1], [10, 1]], 7/44789760],
[[[1, 4], [2, 5], [3, 5], [4, 1], [12, 1]], 143/2149908480],
[[[1, 4], [2, 5], [3, 5], [4, 2], [6, 1]], 251/71663616],
[[[1, 4], [2, 5], [3, 5], [5, 1], [6, 1]], 119/53747712],
[[[1, 4], [2, 5], [3, 5], [6, 1], [8, 1]], 55/17915904],
[[[1, 4], [2, 5], [3, 5], [6, 1], [10, 1]], 11/2799360],
[[[1, 4], [2, 5], [3, 5], [6, 1], [12, 1]], 119/53747712],
[[[1, 4], [2, 5], [3, 6], [4, 1], [6, 1]], 143/644972544],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 19/11197440],
[[[1, 4], [2, 5], [4, 1], [5, 1], [11, 1]], 137/1126400],
[[[1, 4], [2, 5], [4, 1], [5, 1], [22, 1]], 7/56320],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 3]], 1/345600],
[[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 691/10752000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [9, 1]], 79/3072000],
[[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 7/384000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 1/8192],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 11/192000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/8064],
[[[1, 4], [2, 5], [4, 1], [6, 1], [18, 2]], 7/62208],
[[[1, 4], [2, 5], [4, 1], [6, 2], [11, 1]], 1/11264],
[[[1, 4], [2, 5], [4, 1], [6, 2], [22, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 851/47775744],
[[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 1507/99532800],
[[[1, 4], [2, 5], [4, 1], [6, 3], [12, 2]], 1/124416],
[[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 205/10450944],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1259/17915904],
[[[1, 4], [2, 5], [4, 1], [6, 5], [8, 1]], 53/71663616],
[[[1, 4], [2, 5], [4, 1], [6, 5], [10, 1]], 1/1327104],
[[[1, 4], [2, 5], [4, 1], [6, 5], [12, 1]], 575/214990848],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 19/172032],
[[[1, 4], [2, 5], [4, 1], [8, 1], [11, 1]], 235/1622016],
[[[1, 4], [2, 5], [4, 1], [8, 1], [22, 1]], 463/1622016],
[[[1, 4], [2, 5], [4, 1], [8, 2], [9, 1]], 35/663552],
[[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/3584],
[[[1, 4], [2, 5], [4, 1], [8, 2], [18, 1]], 35/663552],
[[[1, 4], [2, 5], [4, 1], [10, 1], [11, 1]], 97/1013760],
[[[1, 4], [2, 5], [4, 1], [10, 1], [22, 1]], 59/168960],
[[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 57/179200],
[[[1, 4], [2, 5], [4, 1], [10, 2], [18, 1]], 23/276480],
[[[1, 4], [2, 5], [4, 1], [11, 1], [12, 1]], 13/608256],
[[[1, 4], [2, 5], [4, 1], [12, 1], [22, 1]], 1/33792],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 11/1658880],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 17/81920],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 293/768000],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/115200],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 83/921600],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 853/3072000],
[[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 1/14400],
[[[1, 4], [2, 5], [4, 2], [6, 1], [11, 1]], 163/1216512],
[[[1, 4], [2, 5], [4, 2], [6, 1], [22, 1]], 19/110592],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 29/147456],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 167/3686400],
[[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 5/165888],
[[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 1/96768],
[[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 5189/111476736],
[[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 233/1990656],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 3727/143327232],
[[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 337/26542080],
[[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 133/5971968],
[[[1, 4], [2, 5], [4, 2], [7, 1], [9, 1]], 31/516096],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 311/1843200],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 13/40960],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 1/4608],
[[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 1/6400],
[[[1, 4], [2, 5], [4, 2], [14, 1], [18, 1]], 221/1548288],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 199/39813120],
[[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 9469/154828800],
[[[1, 4], [2, 5], [4, 3], [5, 1], [9, 1]], 5/165888],
[[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/20480],
[[[1, 4], [2, 5], [4, 3], [5, 1], [18, 1]], 7/552960],
[[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 43/5529600],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 133/442368],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 5/110592],
[[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 7/442368],
[[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 1/43008],
[[[1, 4], [2, 5], [4, 3], [6, 2], [9, 1]], 1/995328],
[[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 11/387072],
[[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 1081/11943936],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 7307/127401984],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1633/119439360],
[[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 871/23887872],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 283/2064384],
[[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 5], [4, 3], [8, 1], [9, 1]], 197/1769472],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 45/229376],
[[[1, 4], [2, 5], [4, 3], [8, 1], [18, 1]], 19/196608],
[[[1, 4], [2, 5], [4, 3], [9, 1], [10, 1]], 11/552960],
[[[1, 4], [2, 5], [4, 3], [9, 1], [12, 1]], 1/36864],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 71/573440],
[[[1, 4], [2, 5], [4, 3], [10, 1], [18, 1]], 73/1658880],
[[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 19/258048],
[[[1, 4], [2, 5], [4, 3], [12, 1], [18, 1]], 7/331776],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/829440],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 23/245760],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1099/29491200],
[[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 113/3096576],
[[[1, 4], [2, 5], [4, 4], [6, 1], [9, 1]], 1/442368],
[[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 163/12386304],
[[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 493/15925248],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 67/1327104],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 41/4423680],
[[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 145/7962624],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 13/122880],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 5/49152],
[[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1/368640],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 305/5308416],
[[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 71/8847360],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 55/7077888],
[[[1, 4], [2, 5], [5, 1], [6, 1], [11, 1]], 1/12672],
[[[1, 4], [2, 5], [5, 1], [6, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 89/864000],
[[[1, 4], [2, 5], [5, 1], [6, 3], [7, 1]], 1/362880],
[[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 173/8709120],
[[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 1/14580],
[[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 269/24883200],
[[[1, 4], [2, 5], [5, 1], [6, 4], [12, 1]], 1/311040],
[[[1, 4], [2, 5], [5, 1], [7, 1], [9, 1]], 187/11612160],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 29/48000],
[[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 7/30720],
[[[1, 4], [2, 5], [5, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 1/40320],
[[[1, 4], [2, 5], [5, 2], [6, 1], [9, 1]], 1/129600],
[[[1, 4], [2, 5], [5, 2], [6, 2], [8, 1]], 1/138240],
[[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 7/86400],
[[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 13/32000],
[[[1, 4], [2, 5], [6, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 4], [2, 5], [6, 1], [8, 1], [11, 1]], 125/1216512],
[[[1, 4], [2, 5], [6, 1], [8, 1], [22, 1]], 259/1824768],
[[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [6, 1], [8, 2], [18, 1]], 17/165888],
[[[1, 4], [2, 5], [6, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 4], [2, 5], [6, 1], [10, 1], [22, 1]], 29/168960],
[[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 31/179200],
[[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 787/4147200],
[[[1, 4], [2, 5], [6, 1], [12, 1], [22, 1]], 73/4866048],
[[[1, 4], [2, 5], [6, 2], [7, 1], [9, 1]], 1/145152],
[[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 7/259200],
[[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 7/552960],
[[[1, 4], [2, 5], [6, 2], [10, 2], [12, 1]], 163/5529600],
[[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 221/1741824],
[[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 3463/209018880],
[[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 1193/13436928],
[[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 5525/167215104],
[[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 23/207360],
[[[1, 4], [2, 5], [6, 3], [12, 1], [14, 1]], 17/774144],
[[[1, 4], [2, 5], [6, 3], [12, 1], [18, 1]], 485/11943936],
[[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 383/89579520],
[[[1, 4], [2, 5], [6, 4], [8, 1], [12, 1]], 11/4478976],
[[[1, 4], [2, 5], [6, 4], [10, 1], [12, 1]], 7/1658880],
[[[1, 4], [2, 5], [7, 1], [8, 1], [9, 1]], 23/1161216],
[[[1, 4], [2, 5], [7, 1], [9, 1], [10, 1]], 1/40320],
[[[1, 4], [2, 5], [8, 1], [14, 1], [18, 1]], 103/2903040],
[[[1, 4], [2, 5], [10, 1], [14, 1], [18, 1]], 793/11612160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 87977/1289945088],
[[[1, 4], [2, 7], [3, 1], [4, 1], [11, 1]], 1/152064],
[[[1, 4], [2, 7], [3, 1], [4, 1], [22, 1]], 3679/54743040],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 7/3072000],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 456527/4299816960],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 14689/159252480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 961/7372800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 1/884736],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 468923/4299816960],
[[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 409/185794560],
[[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 179/26542080],
[[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 9031/92897280],
[[[1, 4], [2, 7], [3, 1], [4, 3], [18, 1]], 1/294912],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 49/16588800],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 49817/637009920],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 5279/106168320],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1333/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 79/7077888],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 239/17694720],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 113/6998400],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 1/737280],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 119/1152000],
[[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 77/13824000],
[[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 7/3686400],
[[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 3/102400],
[[[1, 4], [2, 7], [3, 1], [5, 2], [12, 1]], 1/6912000],
[[[1, 4], [2, 7], [3, 1], [6, 1], [11, 1]], 157/18247680],
[[[1, 4], [2, 7], [3, 1], [6, 1], [22, 1]], 163/1990656],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 25/663552],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 7207/16588800],
[[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/516096],
[[[1, 4], [2, 7], [3, 1], [6, 3], [9, 1]], 1/746496],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 86053/313528320],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 425197/1612431360],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 119669/2149908480],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1549849/10749542400],
[[[1, 4], [2, 7], [3, 1], [6, 4], [12, 1]], 81547/2149908480],
[[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 31/34836480],
[[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 403/13824000],
[[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 1/153600],
[[[1, 4], [2, 7], [3, 1], [14, 1], [18, 1]], 23/2177280],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 199/331776000],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 249727/1074954240],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 1/73728],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 19/691200],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 49807/179159040],
[[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 1/1451520],
[[[1, 4], [2, 7], [3, 2], [4, 2], [9, 1]], 1277/238878720],
[[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 523/23224320],
[[[1, 4], [2, 7], [3, 2], [4, 2], [18, 1]], 1/1990656],
[[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 1/2211840],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 104147/716636160],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 463/19906560],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 101/6635520],
[[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 11/2211840],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 41371/2548039680],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 12991/398131200],
[[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 317/348364800],
[[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 337/149299200],
[[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 19/5529600],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 31/3317760],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 5083/62208000],
[[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 1277/92897280],
[[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 661/29859840],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 178681/836075520],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 1439/11943936],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 197027/1074954240],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1618481/3583180800],
[[[1, 4], [2, 7], [3, 2], [6, 3], [12, 1]], 17071/477757440],
[[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 1/387072],
[[[1, 4], [2, 7], [3, 2], [7, 1], [12, 1]], 31/46448640],
[[[1, 4], [2, 7], [3, 2], [8, 1], [9, 1]], 187/29859840],
[[[1, 4], [2, 7], [3, 2], [8, 1], [14, 1]], 11/1161216],
[[[1, 4], [2, 7], [3, 2], [9, 1], [10, 1]], 1/2488320],
[[[1, 4], [2, 7], [3, 2], [9, 1], [12, 1]], 47/59719680],
[[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 67/4147200],
[[[1, 4], [2, 7], [3, 2], [10, 1], [18, 1]], 1/518400],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 521911/2149908480],
[[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 101/139345920],
[[[1, 4], [2, 7], [3, 3], [4, 1], [9, 1]], 707/179159040],
[[[1, 4], [2, 7], [3, 3], [4, 1], [14, 1]], 11/2903040],
[[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 461/1194393600],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 50777/477757440],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 391/70778880],
[[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 199/79626240],
[[[1, 4], [2, 7], [3, 3], [4, 2], [12, 1]], 149/238878720],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 10591/716636160],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 7973/398131200],
[[[1, 4], [2, 7], [3, 3], [5, 1], [8, 1]], 37/119439360],
[[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 587/132710400],
[[[1, 4], [2, 7], [3, 3], [5, 1], [12, 1]], 31/199065600],
[[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 127/41803776],
[[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 1999/179159040],
[[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 131/17418240],
[[[1, 4], [2, 7], [3, 3], [6, 1], [18, 1]], 1/311040],
[[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 12649/358318080],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 31123/398131200],
[[[1, 4], [2, 7], [3, 3], [6, 2], [12, 1]], 3077/477757440],
[[[1, 4], [2, 7], [3, 3], [8, 1], [12, 1]], 1/7962624],
[[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 241/1791590400],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1501/79626240],
[[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 11/17694720],
[[[1, 4], [2, 7], [3, 4], [4, 1], [12, 1]], 1/7464960],
[[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 77/79626240],
[[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 1871/3583180800],
[[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 139/71663616],
[[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 23/74649600],
[[[1, 4], [2, 7], [3, 4], [6, 1], [12, 1]], 151/238878720],
[[[1, 4], [2, 7], [3, 5], [4, 1], [6, 1]], 89/268738560],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 2297/223948800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 11/245760],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 14933/30720000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/552960],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 583/36864000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 16391/165888000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [12, 1]], 1/5529600],
[[[1, 4], [2, 7], [4, 1], [6, 1], [11, 1]], 17/1013760],
[[[1, 4], [2, 7], [4, 1], [6, 1], [22, 1]], 101/608256],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1835/15925248],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 5371/22118400],
[[[1, 4], [2, 7], [4, 1], [6, 2], [12, 2]], 13/4976640],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 26429/167215104],
[[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 7811/35831808],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 3101/79626240],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 32173/597196800],
[[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 8173/268738560],
[[[1, 4], [2, 7], [4, 1], [7, 1], [9, 1]], 1/483840],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 2701/7372800],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 65/294912],
[[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 223/6912000],
[[[1, 4], [2, 7], [4, 1], [14, 1], [18, 1]], 151/2322432],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 23/1166400],
[[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 371/44236800],
[[[1, 4], [2, 7], [4, 2], [5, 1], [9, 1]], 77/16588800],
[[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 137/3225600],
[[[1, 4], [2, 7], [4, 2], [5, 1], [18, 1]], 1/259200],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 181/18432000],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1123/3538944],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 3281/11059200],
[[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 17/6635520],
[[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 4], [2, 7], [4, 2], [6, 2], [9, 1]], 1/663552],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 1289/5160960],
[[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 63259/238878720],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 981221/5733089280],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 3347/24883200],
[[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 29431/358318080],
[[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 37/2293760],
[[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 19/2580480],
[[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 1/221184],
[[[1, 4], [2, 7], [4, 2], [8, 1], [9, 1]], 23/983040],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 18881/61931520],
[[[1, 4], [2, 7], [4, 2], [8, 1], [18, 1]], 1607/26542080],
[[[1, 4], [2, 7], [4, 2], [9, 1], [10, 1]], 7/1105920],
[[[1, 4], [2, 7], [4, 2], [9, 1], [12, 1]], 1/663552],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 134123/309657600],
[[[1, 4], [2, 7], [4, 2], [10, 1], [18, 1]], 103/1382400],
[[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 53/1290240],
[[[1, 4], [2, 7], [4, 2], [12, 1], [18, 1]], 17/4976640],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 7/276480],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 1421/16588800],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 104153/796262400],
[[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 1/73728],
[[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 37/3440640],
[[[1, 4], [2, 7], [4, 3], [6, 1], [9, 1]], 59/7962624],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 283/1720320],
[[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 5861/59719680],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 1277/5308416],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 8831/66355200],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 4817/79626240],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 5779/22118400],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 3281/39813120],
[[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 31/552960],
[[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 79/6635520],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 15829/106168320],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 32813/530841600],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 28337/1274019840],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 4249/13824000],
[[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 1/1290240],
[[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 139/3628800],
[[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 11/230400],
[[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 1/155520],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 11881/165888000],
[[[1, 4], [2, 7], [5, 1], [6, 3], [12, 1]], 1/207360],
[[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 137/38707200],
[[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/537600],
[[[1, 4], [2, 7], [5, 1], [8, 1], [9, 1]], 1/1658880],
[[[1, 4], [2, 7], [5, 1], [8, 1], [14, 1]], 11/537600],
[[[1, 4], [2, 7], [5, 1], [9, 1], [10, 1]], 41/5529600],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 253/2688000],
[[[1, 4], [2, 7], [5, 1], [10, 1], [18, 1]], 113/6912000],
[[[1, 4], [2, 7], [5, 2], [6, 1], [8, 1]], 17/11059200],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 49/691200],
[[[1, 4], [2, 7], [6, 1], [7, 1], [9, 1]], 1/580608],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 233/1658880],
[[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 7/221184],
[[[1, 4], [2, 7], [6, 1], [10, 2], [12, 1]], 7/432000],
[[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 2687/34836480],
[[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 929/8709120],
[[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 1007/8398080],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 79979/348364800],
[[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 11851/49766400],
[[[1, 4], [2, 7], [6, 2], [12, 1], [14, 1]], 449/15482880],
[[[1, 4], [2, 7], [6, 2], [12, 1], [18, 1]], 547/59719680],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 72101/1567641600],
[[[1, 4], [2, 7], [6, 3], [8, 1], [12, 1]], 139/29859840],
[[[1, 4], [2, 7], [6, 3], [10, 1], [12, 1]], 37/1474560],
[[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 14773/87091200],
[[[1, 4], [2, 7], [8, 1], [10, 1], [18, 1]], 11/1360800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/13824000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 36338483/270888468480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 607/185794560],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 146257/3483648000],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 493075/3009871872],
[[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 11/30965760],
[[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 13/19906560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 6367/185794560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [18, 1]], 367/557383680],
[[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 533/1238630400],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 43252283/481579499520],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 273391/13377208320],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 20549/696729600],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 587/990904320],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 541349/26754416640],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 3413/447897600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 23/928972800],
[[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 7/199065600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 1/2419200],
[[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 47/663552000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 115/37158912],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 566507/4180377600],
[[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 107/247726080],
[[[1, 4], [2, 9], [3, 1], [6, 2], [9, 1]], 1/2985984],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 1065409/8778792960],
[[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 530779/11287019520],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 1099837/20065812480],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 2063441/9405849600],
[[[1, 4], [2, 9], [3, 1], [6, 3], [12, 1]], 25367/2508226560],
[[[1, 4], [2, 9], [3, 1], [7, 1], [8, 1]], 1/23224320],
[[[1, 4], [2, 9], [3, 1], [7, 1], [12, 1]], 1/123863040],
[[[1, 4], [2, 9], [3, 1], [8, 1], [9, 1]], 1/9953280],
[[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 275/55738368],
[[[1, 4], [2, 9], [3, 1], [8, 1], [18, 1]], 31/836075520],
[[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 27899/1045094400],
[[[1, 4], [2, 9], [3, 1], [10, 1], [18, 1]], 37/37324800],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 2342981/15049359360],
[[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/9289728],
[[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 307/955514880],
[[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 1819/418037760],
[[[1, 4], [2, 9], [3, 2], [4, 1], [18, 1]], 29/418037760],
[[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 29/265420800],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 310481/3344302080],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 4433/1672151040],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 979/232243200],
[[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 11/106168320],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 337217/26754416640],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 53581/33443020800],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 983/1194393600],
[[[1, 4], [2, 9], [3, 2], [5, 1], [12, 1]], 1/265420800],
[[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 13/55738368],
[[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 151/358318080],
[[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 32951/2006581248],
[[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 3013/1881169920],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1175819/60197437440],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 811157/7166361600],
[[[1, 4], [2, 9], [3, 2], [6, 2], [12, 1]], 61/83607552],
[[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 11/17418240],
[[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/95551488],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 1038677/60197437440],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 811/7644119040],
[[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 11/43545600],
[[[1, 4], [2, 9], [3, 3], [4, 1], [12, 1]], 1/159252480],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 6871/3344302080],
[[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 37/597196800],
[[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 2383/6688604160],
[[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 13151/6270566400],
[[[1, 4], [2, 9], [3, 3], [6, 1], [12, 1]], 1/13271040],
[[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1051/3344302080],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 502093/50164531200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 29/176947200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [9, 1]], 1/33177600],
[[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 197/25804800],
[[[1, 4], [2, 9], [4, 1], [5, 1], [18, 1]], 41/139345920],
[[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 7/55296000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 3367/95551488],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 139309/497664000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [12, 2]], 31/557383680],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 19/108864],
[[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 111763/1003290624],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 3113501/40131624960],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 2783663/16721510400],
[[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 633841/30098718720],
[[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 47/123863040],
[[[1, 4], [2, 9], [4, 1], [8, 1], [9, 1]], 43/106168320],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 4349/79626240],
[[[1, 4], [2, 9], [4, 1], [8, 1], [18, 1]], 1693/557383680],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 358261/2167603200],
[[[1, 4], [2, 9], [4, 1], [10, 1], [18, 1]], 5/344064],
[[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 59/27869184],
[[[1, 4], [2, 9], [4, 1], [12, 1], [18, 1]], 31/418037760],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 2441/209018880],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1/145152],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 5079/114688000],
[[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 61/61931520],
[[[1, 4], [2, 9], [4, 2], [6, 1], [9, 1]], 1/1769472],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 31019/185794560],
[[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 117031/1672151040],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 244099/1672151040],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 448739/1857945600],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 107731/4013162496],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 146117/928972800],
[[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 173/92897280],
[[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 3221/348364800],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 3097/398131200],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 213793/2229534720],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 80203/668860416],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 28495/2675441664],
[[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 1/38707200],
[[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 1543/174182400],
[[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 1249/522547200],
[[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 1/518400],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 110141/2322432000],
[[[1, 4], [2, 9], [5, 1], [6, 2], [12, 1]], 23/58060800],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 53699/6967296000],
[[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 35179/836075520],
[[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 25667/2508226560],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 559829/4180377600],
[[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 89849/2090188800],
[[[1, 4], [2, 9], [6, 1], [12, 1], [14, 1]], 17/6881280],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 743399/12541132800],
[[[1, 4], [2, 9], [6, 2], [8, 1], [12, 1]], 1487/2006581248],
[[[1, 4], [2, 9], [6, 2], [10, 1], [12, 1]], 2809/309657600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 725872033/14898865766400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/495452160],
[[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/212336640],
[[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 39559/14631321600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [18, 1]], 13291/413857382400],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 3617/222953472000],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 53641201/1605264998400],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 655/594542592],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 601/116121600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 487/38220595200],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 473191/61312204800],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 1/2239488],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 19849/167215104000],
[[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 1/371589120],
[[[1, 4], [2, 11], [3, 1], [6, 1], [9, 1]], 1/477757440],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 104357/14631321600],
[[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 2503/3135283200],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 1553/293932800],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 1601953/37623398400],
[[[1, 4], [2, 11], [3, 1], [6, 2], [12, 1]], 19769/75246796800],
[[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 7319/20901888000],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1663877/171992678400],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 9893/401316249600],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 2129/6270566400],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 3312607/1605264998400],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 19/10450944000],
[[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 40361/331085905920],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 1190033/501645312000],
[[[1, 4], [2, 11], [3, 2], [6, 1], [12, 1]], 503/200658124800],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 1123079/13243436236800],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 105703/62705664000],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 8609/111476736000],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 320099/123863040000],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 1543/52254720],
[[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 38771/6270566400],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 80501/4013162496],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 447731/5573836800],
[[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 58613/30098718720],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 93607/8360755200],
[[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 47/5573836800],
[[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 377/1492992000],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 5857/6967296000],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 797801/40131624960],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 3791/58982400],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 6779/5945425920],
[[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 37/696729600],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 473/124416000],
[[[1, 4], [2, 11], [5, 1], [6, 1], [12, 1]], 47/13934592000],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 42407/5016453120],
[[[1, 4], [2, 11], [6, 1], [8, 1], [12, 1]], 3463/275904921600],
[[[1, 4], [2, 11], [6, 1], [10, 1], [12, 1]], 3217/9289728000],
[[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 67/344881152000],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 61588159/19865154355200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 18967/1103619686400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 85027/344881152000],
[[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 67/827714764800],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 9682621/10594748989440],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 2323/689762304000],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 83501/1203948748800],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 15728827/13243436236800],
[[[1, 4], [2, 13], [3, 1], [6, 1], [12, 1]], 977/3310859059200],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 713347/9631589990400],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 937/21555072000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 240059/267544166400],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 637607/95551488000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 1672819/52973744947200],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 60358421/1668672965836800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/128000],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/112896],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 2]], 1/27648],
[[[1, 5], [2, 2], [3, 1], [4, 3], [11, 1]], 71/1824768],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/737280],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 4]], 1/47775744],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 1/294912],
[[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 1/774144],
[[[1, 5], [2, 2], [3, 1], [4, 5], [9, 1]], 1/1990656],
[[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 1/8847360],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 5/1769472],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 23/70560],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 2]], 1/6480],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 4]], 1/2073600],
[[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 1/192000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [12, 1]], 1/32000],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 5/338688],
[[[1, 5], [2, 2], [3, 1], [6, 2], [9, 2]], 1/139968],
[[[1, 5], [2, 2], [3, 1], [6, 2], [18, 2]], 1/279936],
[[[1, 5], [2, 2], [3, 1], [6, 3], [11, 1]], 1/912384],
[[[1, 5], [2, 2], [3, 1], [6, 3], [22, 1]], 1/8211456],
[[[1, 5], [2, 2], [3, 1], [6, 5], [18, 1]], 1/20155392],
[[[1, 5], [2, 2], [3, 1], [6, 6], [8, 1]], 1/53747712],
[[[1, 5], [2, 2], [3, 1], [7, 1], [11, 1]], 5/22176],
[[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/4704],
[[[1, 5], [2, 2], [3, 1], [7, 2], [12, 1]], 5/56448],
[[[1, 5], [2, 2], [3, 1], [8, 1], [9, 2]], 1/20736],
[[[1, 5], [2, 2], [3, 1], [9, 1], [11, 1]], 5/76032],
[[[1, 5], [2, 2], [3, 1], [9, 2], [10, 1]], 1/38880],
[[[1, 5], [2, 2], [3, 1], [18, 1], [22, 1]], 1/114048],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 6]], 1/26873856],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/21168],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 29/165888],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 5]], 1/5308416],
[[[1, 5], [2, 2], [3, 2], [4, 2], [11, 1]], 19/608256],
[[[1, 5], [2, 2], [3, 2], [4, 2], [22, 1]], 1/50688],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 173/16588800],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 4]], 5/11943936],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 19/442368],
[[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/1161216],
[[[1, 5], [2, 2], [3, 2], [4, 4], [9, 1]], 79/7962624],
[[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 7/13271040],
[[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 1/884736],
[[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 1/42467328],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 5]], 1/3732480],
[[[1, 5], [2, 2], [3, 2], [5, 1], [11, 1]], 1/10560],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 3]], 1/64800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 43/259200],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/6048],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 53/279936],
[[[1, 5], [2, 2], [3, 2], [6, 2], [11, 1]], 925/5474304],
[[[1, 5], [2, 2], [3, 2], [6, 2], [22, 1]], 65/3649536],
[[[1, 5], [2, 2], [3, 2], [6, 4], [7, 1]], 1/870912],
[[[1, 5], [2, 2], [3, 2], [6, 4], [9, 1]], 1/1119744],
[[[1, 5], [2, 2], [3, 2], [6, 4], [18, 1]], 65/8957952],
[[[1, 5], [2, 2], [3, 2], [6, 5], [8, 1]], 7/35831808],
[[[1, 5], [2, 2], [3, 2], [6, 5], [10, 1]], 1/7464960],
[[[1, 5], [2, 2], [3, 2], [8, 1], [11, 1]], 1/16896],
[[[1, 5], [2, 2], [3, 2], [8, 2], [9, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [10, 1], [11, 1]], 1/95040],
[[[1, 5], [2, 2], [3, 2], [11, 1], [12, 1]], 5/101376],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 5]], 1/5971968],
[[[1, 5], [2, 2], [3, 3], [4, 1], [11, 1]], 791/14598144],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 119/24883200],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 4]], 17/15925248],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 199/15925248],
[[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 1/82944],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 3]], 11/5971968],
[[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 899/209018880],
[[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 563/26873856],
[[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 13/119439360],
[[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 7/3981312],
[[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 49/47775744],
[[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 7/2654208],
[[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 1/15925248],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 4]], 17/1492992],
[[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 1/291600],
[[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/4147200],
[[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 11/5184000],
[[[1, 5], [2, 2], [3, 3], [5, 2], [12, 1]], 7/345600],
[[[1, 5], [2, 2], [3, 3], [6, 1], [11, 1]], 83/746496],
[[[1, 5], [2, 2], [3, 3], [6, 1], [22, 1]], 1/101376],
[[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 1/55296],
[[[1, 5], [2, 2], [3, 3], [6, 3], [7, 1]], 5/145152],
[[[1, 5], [2, 2], [3, 3], [6, 3], [9, 1]], 53/2239488],
[[[1, 5], [2, 2], [3, 3], [6, 3], [14, 1]], 1/72576],
[[[1, 5], [2, 2], [3, 3], [6, 3], [18, 1]], 11/746496],
[[[1, 5], [2, 2], [3, 3], [6, 4], [8, 1]], 49/5971968],
[[[1, 5], [2, 2], [3, 3], [6, 4], [12, 1]], 1/124416],
[[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 67/326592],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/1036800],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 4]], 1/1492992],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 1/1327104],
[[[1, 5], [2, 2], [3, 4], [4, 1], [12, 2]], 1/139968],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 3]], 53/15925248],
[[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 253/41803776],
[[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 1/46656],
[[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 193/89579520],
[[[1, 5], [2, 2], [3, 4], [4, 3], [6, 2]], 137/53747712],
[[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 107/23887872],
[[[1, 5], [2, 2], [3, 4], [4, 3], [10, 1]], 1/14929920],
[[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 5/1492992],
[[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 5/17915904],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 3]], 1/93312],
[[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 65/3483648],
[[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 13/311040],
[[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/583200],
[[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 1/1492992],
[[[1, 5], [2, 2], [3, 4], [6, 2], [7, 1]], 137/3919104],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 1325/13436928],
[[[1, 5], [2, 2], [3, 4], [6, 2], [18, 1]], 1/186624],
[[[1, 5], [2, 2], [3, 4], [6, 3], [8, 1]], 2035/107495424],
[[[1, 5], [2, 2], [3, 4], [6, 3], [10, 1]], 1/829440],
[[[1, 5], [2, 2], [3, 4], [6, 3], [12, 1]], 1/248832],
[[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 5/1741824],
[[[1, 5], [2, 2], [3, 4], [7, 1], [10, 1]], 1/2177280],
[[[1, 5], [2, 2], [3, 4], [7, 1], [12, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 19/746496],
[[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/186624],
[[[1, 5], [2, 2], [3, 4], [9, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 3]], 1/279936],
[[[1, 5], [2, 2], [3, 5], [4, 1], [7, 1]], 11/5225472],
[[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 887/35831808],
[[[1, 5], [2, 2], [3, 5], [4, 2], [5, 1]], 97/59719680],
[[[1, 5], [2, 2], [3, 5], [4, 2], [6, 2]], 91/35831808],
[[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 1/663552],
[[[1, 5], [2, 2], [3, 5], [4, 2], [10, 1]], 1/7464960],
[[[1, 5], [2, 2], [3, 5], [4, 2], [12, 1]], 97/71663616],
[[[1, 5], [2, 2], [3, 5], [4, 3], [6, 1]], 31/107495424],
[[[1, 5], [2, 2], [3, 5], [5, 1], [6, 2]], 47/33592320],
[[[1, 5], [2, 2], [3, 5], [5, 1], [8, 1]], 1/4976640],
[[[1, 5], [2, 2], [3, 5], [5, 1], [10, 1]], 7/9331200],
[[[1, 5], [2, 2], [3, 5], [5, 1], [12, 1]], 1/1244160],
[[[1, 5], [2, 2], [3, 5], [6, 1], [7, 1]], 71/3919104],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 1069/20155392],
[[[1, 5], [2, 2], [3, 5], [6, 2], [8, 1]], 169/107495424],
[[[1, 5], [2, 2], [3, 5], [6, 2], [10, 1]], 1/11197440],
[[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 17/839808],
[[[1, 5], [2, 2], [3, 5], [8, 1], [12, 1]], 1/1990656],
[[[1, 5], [2, 2], [3, 5], [10, 1], [12, 1]], 1/1866240],
[[[1, 5], [2, 2], [3, 6], [4, 1], [5, 1]], 1/2799360],
[[[1, 5], [2, 2], [3, 6], [4, 1], [6, 2]], 1/6718464],
[[[1, 5], [2, 2], [3, 6], [4, 1], [8, 1]], 5/13436928],
[[[1, 5], [2, 2], [3, 6], [4, 1], [10, 1]], 1/3149280],
[[[1, 5], [2, 2], [3, 6], [4, 1], [12, 1]], 145/120932352],
[[[1, 5], [2, 2], [3, 6], [4, 2], [6, 1]], 263/214990848],
[[[1, 5], [2, 2], [3, 6], [5, 1], [6, 1]], 31/33592320],
[[[1, 5], [2, 2], [3, 6], [6, 1], [8, 1]], 155/483729408],
[[[1, 5], [2, 2], [3, 6], [6, 1], [12, 1]], 13/3359232],
[[[1, 5], [2, 2], [3, 7], [4, 1], [6, 1]], 37/161243136],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 11/31360],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 1/8000],
[[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 3/128000],
[[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 3/80000],
[[[1, 5], [2, 2], [4, 1], [5, 3], [12, 1]], 1/16000],
[[[1, 5], [2, 2], [4, 1], [6, 2], [18, 2]], 7/2488320],
[[[1, 5], [2, 2], [4, 1], [6, 3], [22, 1]], 7/72990720],
[[[1, 5], [2, 2], [4, 1], [6, 4], [8, 2]], 1/11943936],
[[[1, 5], [2, 2], [4, 1], [6, 5], [18, 1]], 7/179159040],
[[[1, 5], [2, 2], [4, 1], [7, 1], [11, 1]], 3/9856],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 1/6272],
[[[1, 5], [2, 2], [4, 1], [9, 1], [11, 1]], 23/202752],
[[[1, 5], [2, 2], [4, 1], [18, 1], [22, 1]], 7/1013760],
[[[1, 5], [2, 2], [4, 2], [5, 1], [11, 1]], 23/168960],
[[[1, 5], [2, 2], [4, 2], [5, 1], [22, 1]], 1/84480],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/21504],
[[[1, 5], [2, 2], [4, 2], [5, 2], [9, 1]], 1/69120],
[[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/9408],
[[[1, 5], [2, 2], [4, 2], [6, 2], [11, 1]], 7/304128],
[[[1, 5], [2, 2], [4, 2], [6, 3], [8, 2]], 7/15925248],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/28672],
[[[1, 5], [2, 2], [4, 2], [8, 1], [11, 1]], 7/67584],
[[[1, 5], [2, 2], [4, 2], [8, 2], [9, 1]], 7/221184],
[[[1, 5], [2, 2], [4, 2], [8, 2], [18, 1]], 7/221184],
[[[1, 5], [2, 2], [4, 2], [10, 1], [11, 1]], 1/21120],
[[[1, 5], [2, 2], [4, 2], [11, 1], [12, 1]], 1/16896],
[[[1, 5], [2, 2], [4, 2], [12, 1], [22, 1]], 1/50688],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 3/40960],
[[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/102400],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 1/614400],
[[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 3/512000],
[[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 1/230400],
[[[1, 5], [2, 2], [4, 3], [6, 1], [11, 1]], 5/202752],
[[[1, 5], [2, 2], [4, 3], [7, 1], [9, 1]], 29/2903040],
[[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 1/12288],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 3]], 1/19906560],
[[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 1/163840],
[[[1, 5], [2, 2], [4, 4], [5, 1], [9, 1]], 1/1658880],
[[[1, 5], [2, 2], [4, 4], [5, 1], [18, 1]], 1/276480],
[[[1, 5], [2, 2], [4, 4], [5, 2], [6, 1]], 1/1843200],
[[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 1/221184],
[[[1, 5], [2, 2], [4, 4], [6, 2], [18, 1]], 1/3981312],
[[[1, 5], [2, 2], [4, 4], [6, 3], [8, 1]], 7/15925248],
[[[1, 5], [2, 2], [4, 4], [6, 3], [12, 1]], 1/11943936],
[[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 5/344064],
[[[1, 5], [2, 2], [4, 4], [7, 1], [10, 1]], 1/215040],
[[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 1/129024],
[[[1, 5], [2, 2], [4, 4], [8, 1], [9, 1]], 1/663552],
[[[1, 5], [2, 2], [4, 4], [8, 1], [18, 1]], 7/221184],
[[[1, 5], [2, 2], [4, 4], [10, 1], [14, 1]], 1/5160960],
[[[1, 5], [2, 2], [4, 4], [12, 1], [18, 1]], 1/165888],
[[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 1/2949120],
[[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 1/1769472],
[[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/491520],
[[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 1/7077888],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 2]], 1/35280],
[[[1, 5], [2, 2], [5, 1], [6, 2], [11, 1]], 1/31680],
[[[1, 5], [2, 2], [5, 1], [6, 3], [10, 2]], 1/2073600],
[[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 1/71680],
[[[1, 5], [2, 2], [5, 1], [8, 1], [11, 1]], 1/2816],
[[[1, 5], [2, 2], [5, 1], [10, 1], [11, 1]], 1/8800],
[[[1, 5], [2, 2], [5, 1], [10, 2], [18, 1]], 1/28800],
[[[1, 5], [2, 2], [5, 2], [6, 1], [8, 2]], 1/76800],
[[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/100800],
[[[1, 5], [2, 2], [5, 2], [6, 2], [9, 1]], 1/259200],
[[[1, 5], [2, 2], [5, 2], [6, 3], [10, 1]], 1/1036800],
[[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 9/44800],
[[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/1750],
[[[1, 5], [2, 2], [5, 2], [8, 1], [9, 1]], 1/57600],
[[[1, 5], [2, 2], [5, 2], [9, 1], [10, 1]], 11/72000],
[[[1, 5], [2, 2], [5, 2], [10, 1], [18, 1]], 1/14400],
[[[1, 5], [2, 2], [5, 3], [6, 1], [8, 1]], 1/32000],
[[[1, 5], [2, 2], [6, 1], [7, 1], [11, 1]], 1/11088],
[[[1, 5], [2, 2], [6, 1], [8, 1], [18, 2]], 1/124416],
[[[1, 5], [2, 2], [6, 1], [9, 1], [11, 1]], 1/114048],
[[[1, 5], [2, 2], [6, 1], [18, 1], [22, 1]], 1/456192],
[[[1, 5], [2, 2], [6, 2], [8, 1], [22, 1]], 1/304128],
[[[1, 5], [2, 2], [6, 2], [8, 2], [18, 1]], 1/165888],
[[[1, 5], [2, 2], [6, 2], [12, 1], [22, 1]], 1/608256],
[[[1, 5], [2, 2], [6, 3], [8, 1], [10, 2]], 1/49766400],
[[[1, 5], [2, 2], [6, 4], [8, 1], [14, 1]], 1/20901888],
[[[1, 5], [2, 2], [6, 4], [8, 1], [18, 1]], 13/8957952],
[[[1, 5], [2, 2], [6, 4], [10, 1], [14, 1]], 1/104509440],
[[[1, 5], [2, 2], [6, 4], [12, 1], [18, 1]], 1/1492992],
[[[1, 5], [2, 2], [8, 1], [10, 1], [22, 1]], 1/84480],
[[[1, 5], [2, 2], [8, 1], [10, 2], [14, 1]], 1/268800],
[[[1, 5], [2, 2], [8, 1], [10, 2], [18, 1]], 1/691200],
[[[1, 5], [2, 2], [8, 2], [10, 1], [14, 1]], 1/215040],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 11/192000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 6]], 143/644972544],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 1/8192],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 2]], 7/62208],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 7/384000],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 5]], 251/71663616],
[[[1, 5], [2, 4], [3, 1], [4, 2], [11, 1]], 19/110592],
[[[1, 5], [2, 4], [3, 1], [4, 2], [22, 1]], 163/1216512],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 5/110592],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 283/71663616],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 133/442368],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 43/5529600],
[[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 7/442368],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 5/1769472],
[[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 163/12386304],
[[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 493/15925248],
[[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 113/3096576],
[[[1, 5], [2, 4], [3, 1], [4, 4], [18, 1]], 1/442368],
[[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 71/8847360],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 5/1572864],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 305/5308416],
[[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1/368640],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 55/7077888],
[[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 5/1769472],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 5]], 11/2799360],
[[[1, 5], [2, 4], [3, 1], [5, 1], [11, 1]], 29/168960],
[[[1, 5], [2, 4], [3, 1], [5, 1], [22, 1]], 1/31680],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 131/4147200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 31/179200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 787/4147200],
[[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/6400],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/9408],
[[[1, 5], [2, 4], [3, 1], [6, 1], [9, 2]], 7/139968],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 23/576000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 5], [2, 4], [3, 1], [6, 1], [18, 2]], 11/279936],
[[[1, 5], [2, 4], [3, 1], [6, 2], [11, 1]], 379/2654208],
[[[1, 5], [2, 4], [3, 1], [6, 2], [22, 1]], 439/5474304],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 7/663552],
[[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 29/1866240],
[[[1, 5], [2, 4], [3, 1], [6, 4], [7, 1]], 5/3483648],
[[[1, 5], [2, 4], [3, 1], [6, 4], [14, 1]], 41/7838208],
[[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 35/746496],
[[[1, 5], [2, 4], [3, 1], [6, 5], [8, 1]], 55/17915904],
[[[1, 5], [2, 4], [3, 1], [6, 5], [10, 1]], 119/53747712],
[[[1, 5], [2, 4], [3, 1], [6, 5], [12, 1]], 119/53747712],
[[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 1/16128],
[[[1, 5], [2, 4], [3, 1], [8, 1], [11, 1]], 259/1824768],
[[[1, 5], [2, 4], [3, 1], [8, 1], [22, 1]], 125/1216512],
[[[1, 5], [2, 4], [3, 1], [8, 2], [9, 1]], 17/165888],
[[[1, 5], [2, 4], [3, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 5], [2, 4], [3, 1], [10, 1], [11, 1]], 1/12672],
[[[1, 5], [2, 4], [3, 1], [10, 1], [22, 1]], 1/12672],
[[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 1/40320],
[[[1, 5], [2, 4], [3, 1], [10, 2], [18, 1]], 1/129600],
[[[1, 5], [2, 4], [3, 1], [11, 1], [12, 1]], 73/4866048],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 5]], 66131/4299816960],
[[[1, 5], [2, 4], [3, 2], [4, 1], [11, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 2], [4, 1], [22, 1]], 1/11264],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 167/3686400],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 311/11943936],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 29/147456],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/115200],
[[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 5/165888],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 4385/143327232],
[[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 11/387072],
[[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 1081/11943936],
[[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 1/43008],
[[[1, 5], [2, 4], [3, 2], [4, 3], [18, 1]], 1/995328],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 41/4423680],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 157/5308416],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 67/1327104],
[[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/829440],
[[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 145/7962624],
[[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 325/42467328],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 47/1244160],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 7/552960],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 7/86400],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 28937/99532800],
[[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 7/259200],
[[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 89/864000],
[[[1, 5], [2, 4], [3, 2], [5, 2], [12, 1]], 163/5529600],
[[[1, 5], [2, 4], [3, 2], [6, 1], [11, 1]], 13/62208],
[[[1, 5], [2, 4], [3, 2], [6, 1], [22, 1]], 2731/29196288],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 37/331776],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 203/1843200],
[[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 85/1741824],
[[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 109/2239488],
[[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1847/20901888],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 11611/71663616],
[[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 233/5971968],
[[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 2963/89579520],
[[[1, 5], [2, 4], [3, 2], [6, 4], [12, 1]], 169/5971968],
[[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 221/1741824],
[[[1, 5], [2, 4], [3, 2], [8, 1], [10, 2]], 1/138240],
[[[1, 5], [2, 4], [3, 2], [14, 1], [18, 1]], 1/145152],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 1507/99532800],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 8995/95551488],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 851/47775744],
[[[1, 5], [2, 4], [3, 3], [4, 1], [10, 2]], 1/345600],
[[[1, 5], [2, 4], [3, 3], [4, 1], [12, 2]], 1/124416],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1219/11943936],
[[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 5189/111476736],
[[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 233/1990656],
[[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 1/96768],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1633/119439360],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 1441/23887872],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 7307/127401984],
[[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 199/39813120],
[[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 871/23887872],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 755/95551488],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 3571/14929920],
[[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 5525/167215104],
[[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 23/207360],
[[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 2731/37324800],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 35/1990656],
[[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 34271/125411328],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 79327/214990848],
[[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 29/559872],
[[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 211/995328],
[[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 467/3317760],
[[[1, 5], [2, 4], [3, 3], [6, 3], [12, 1]], 5/186624],
[[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 3463/209018880],
[[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 173/8709120],
[[[1, 5], [2, 4], [3, 3], [7, 1], [12, 1]], 17/774144],
[[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 1193/13436928],
[[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 1/14580],
[[[1, 5], [2, 4], [3, 3], [9, 1], [12, 1]], 485/11943936],
[[[1, 5], [2, 4], [3, 3], [10, 1], [14, 1]], 1/362880],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 54605/429981696],
[[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 205/10450944],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1259/17915904],
[[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 337/26542080],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 949/17915904],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 3727/143327232],
[[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 11/1658880],
[[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 133/5971968],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 749/71663616],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 10247/89579520],
[[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 383/89579520],
[[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 269/24883200],
[[[1, 5], [2, 4], [3, 4], [5, 1], [12, 1]], 7/1658880],
[[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 383/5225472],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 253/1679616],
[[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/1161216],
[[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 593/6718464],
[[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 7/186624],
[[[1, 5], [2, 4], [3, 4], [6, 2], [12, 1]], 1483/17915904],
[[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 1/1244160],
[[[1, 5], [2, 4], [3, 4], [8, 1], [12, 1]], 11/4478976],
[[[1, 5], [2, 4], [3, 4], [10, 1], [12, 1]], 1/311040],
[[[1, 5], [2, 4], [3, 5], [4, 1], [5, 1]], 1/1327104],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 30905/859963392],
[[[1, 5], [2, 4], [3, 5], [4, 1], [8, 1]], 53/71663616],
[[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 19/11197440],
[[[1, 5], [2, 4], [3, 5], [4, 1], [12, 1]], 575/214990848],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 19/1990656],
[[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 1379/134369280],
[[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 89/13436928],
[[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1/174960],
[[[1, 5], [2, 4], [3, 5], [6, 1], [12, 1]], 95/13436928],
[[[1, 5], [2, 4], [3, 6], [4, 1], [6, 1]], 11201/1934917632],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 5]], 7/44789760],
[[[1, 5], [2, 4], [4, 1], [5, 1], [11, 1]], 59/168960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [22, 1]], 97/1013760],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 3]], 1/172800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 57/179200],
[[[1, 5], [2, 4], [4, 1], [5, 2], [9, 1]], 23/276480],
[[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 3/64000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 5/56448],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 7/73728],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 1/96000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 5], [2, 4], [4, 1], [6, 1], [18, 2]], 217/4976640],
[[[1, 5], [2, 4], [4, 1], [6, 2], [11, 1]], 29/304128],
[[[1, 5], [2, 4], [4, 1], [6, 2], [22, 1]], 217/12165120],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 563/47775744],
[[[1, 5], [2, 4], [4, 1], [6, 3], [10, 2]], 719/221184000],
[[[1, 5], [2, 4], [4, 1], [6, 3], [12, 2]], 1/497664],
[[[1, 5], [2, 4], [4, 1], [6, 4], [14, 1]], 361/836075520],
[[[1, 5], [2, 4], [4, 1], [6, 4], [18, 1]], 7/884736],
[[[1, 5], [2, 4], [4, 1], [6, 5], [8, 1]], 7/23887872],
[[[1, 5], [2, 4], [4, 1], [6, 5], [10, 1]], 271/1791590400],
[[[1, 5], [2, 4], [4, 1], [6, 5], [12, 1]], 143/2149908480],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/3584],
[[[1, 5], [2, 4], [4, 1], [8, 1], [11, 1]], 463/1622016],
[[[1, 5], [2, 4], [4, 1], [8, 1], [22, 1]], 235/1622016],
[[[1, 5], [2, 4], [4, 1], [8, 2], [9, 1]], 35/663552],
[[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 19/172032],
[[[1, 5], [2, 4], [4, 1], [8, 2], [18, 1]], 35/663552],
[[[1, 5], [2, 4], [4, 1], [10, 1], [11, 1]], 7/56320],
[[[1, 5], [2, 4], [4, 1], [10, 1], [22, 1]], 137/1126400],
[[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 691/10752000],
[[[1, 5], [2, 4], [4, 1], [10, 2], [18, 1]], 79/3072000],
[[[1, 5], [2, 4], [4, 1], [11, 1], [12, 1]], 1/33792],
[[[1, 5], [2, 4], [4, 1], [12, 1], [22, 1]], 13/608256],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 43/14929920],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 13/40960],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 853/3072000],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 37/2764800],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 311/1843200],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 293/768000],
[[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 1/6400],
[[[1, 5], [2, 4], [4, 2], [6, 1], [11, 1]], 271/1216512],
[[[1, 5], [2, 4], [4, 2], [6, 1], [22, 1]], 59/1216512],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 127/2654208],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 1/409600],
[[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 5], [2, 4], [4, 2], [6, 3], [7, 1]], 1/96768],
[[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 247/37158912],
[[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 199/5971968],
[[[1, 5], [2, 4], [4, 2], [6, 4], [8, 1]], 61/47775744],
[[[1, 5], [2, 4], [4, 2], [6, 4], [10, 1]], 31/79626240],
[[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 5/1119744],
[[[1, 5], [2, 4], [4, 2], [7, 1], [9, 1]], 221/1548288],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 83/921600],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 17/81920],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 1/14400],
[[[1, 5], [2, 4], [4, 2], [14, 1], [18, 1]], 31/516096],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 31/7962624],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 71/573440],
[[[1, 5], [2, 4], [4, 3], [5, 1], [9, 1]], 73/1658880],
[[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1/30720],
[[[1, 5], [2, 4], [4, 3], [5, 1], [18, 1]], 11/552960],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 49/2764800],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 11/55296],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 29/1843200],
[[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 1/49152],
[[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 19/774144],
[[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 5/387072],
[[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 4169/119439360],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 3365/127401984],
[[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 277/59719680],
[[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 23/1990656],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 45/229376],
[[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/20480],
[[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 19/258048],
[[[1, 5], [2, 4], [4, 3], [8, 1], [9, 1]], 19/196608],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 283/2064384],
[[[1, 5], [2, 4], [4, 3], [8, 1], [18, 1]], 197/1769472],
[[[1, 5], [2, 4], [4, 3], [9, 1], [10, 1]], 7/552960],
[[[1, 5], [2, 4], [4, 3], [9, 1], [12, 1]], 7/331776],
[[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 9469/154828800],
[[[1, 5], [2, 4], [4, 3], [10, 1], [18, 1]], 5/165888],
[[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 1/18432],
[[[1, 5], [2, 4], [4, 3], [12, 1], [18, 1]], 1/36864],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1/829440],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 13/122880],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1099/29491200],
[[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 139/3096576],
[[[1, 5], [2, 4], [4, 4], [6, 1], [9, 1]], 1/1327104],
[[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 5/1548288],
[[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 77/3981312],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 73/2654208],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 5/2654208],
[[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 115/7962624],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 23/245760],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 5/49152],
[[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 1/552960],
[[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 83/3538944],
[[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 19/8847360],
[[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 7/2359296],
[[[1, 5], [2, 4], [5, 1], [6, 1], [11, 1]], 1/6336],
[[[1, 5], [2, 4], [5, 1], [6, 1], [22, 1]], 1/21120],
[[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 71/1728000],
[[[1, 5], [2, 4], [5, 1], [6, 3], [7, 1]], 1/362880],
[[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 5/580608],
[[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/25920],
[[[1, 5], [2, 4], [5, 1], [6, 4], [10, 1]], 263/298598400],
[[[1, 5], [2, 4], [5, 1], [7, 1], [9, 1]], 793/11612160],
[[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 13/32000],
[[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 7/30720],
[[[1, 5], [2, 4], [5, 1], [14, 1], [18, 1]], 1/40320],
[[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 5], [2, 4], [5, 2], [6, 1], [9, 1]], 7/518400],
[[[1, 5], [2, 4], [5, 2], [6, 2], [8, 1]], 1/69120],
[[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/10800],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 29/48000],
[[[1, 5], [2, 4], [6, 1], [7, 1], [8, 2]], 5/129024],
[[[1, 5], [2, 4], [6, 1], [8, 1], [11, 1]], 23/202752],
[[[1, 5], [2, 4], [6, 1], [8, 1], [22, 1]], 85/1216512],
[[[1, 5], [2, 4], [6, 1], [8, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [6, 1], [8, 2], [18, 1]], 11/165888],
[[[1, 5], [2, 4], [6, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 5], [2, 4], [6, 1], [10, 1], [22, 1]], 13/253440],
[[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [6, 1], [10, 2], [18, 1]], 91/2073600],
[[[1, 5], [2, 4], [6, 1], [12, 1], [22, 1]], 43/4866048],
[[[1, 5], [2, 4], [6, 2], [7, 1], [9, 1]], 5/435456],
[[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 37/8294400],
[[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 1/552960],
[[[1, 5], [2, 4], [6, 2], [10, 2], [12, 1]], 19/2764800],
[[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 1/108864],
[[[1, 5], [2, 4], [6, 3], [8, 1], [14, 1]], 89/11943936],
[[[1, 5], [2, 4], [6, 3], [8, 1], [18, 1]], 397/8957952],
[[[1, 5], [2, 4], [6, 3], [10, 1], [14, 1]], 5563/836075520],
[[[1, 5], [2, 4], [6, 3], [10, 1], [18, 1]], 23/746496],
[[[1, 5], [2, 4], [6, 3], [12, 1], [14, 1]], 1/165888],
[[[1, 5], [2, 4], [6, 3], [12, 1], [18, 1]], 203/11943936],
[[[1, 5], [2, 4], [6, 4], [8, 1], [10, 1]], 37/59719680],
[[[1, 5], [2, 4], [6, 4], [8, 1], [12, 1]], 1/2985984],
[[[1, 5], [2, 4], [6, 4], [10, 1], [12, 1]], 1/4976640],
[[[1, 5], [2, 4], [7, 1], [8, 1], [9, 1]], 103/2903040],
[[[1, 5], [2, 4], [7, 1], [9, 1], [10, 1]], 1/24192],
[[[1, 5], [2, 4], [8, 1], [14, 1], [18, 1]], 23/1161216],
[[[1, 5], [2, 4], [10, 1], [14, 1], [18, 1]], 187/11612160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 307/7962624],
[[[1, 5], [2, 6], [3, 1], [4, 1], [11, 1]], 943/18247680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [22, 1]], 11/92160],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 2293/55296000],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 444017/4299816960],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 16627/53084160],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 721/5529600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 5/884736],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 8771/71663616],
[[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 4279/92897280],
[[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 7913/119439360],
[[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 353/2322432],
[[[1, 5], [2, 6], [3, 1], [4, 3], [18, 1]], 37/3981312],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 2491/66355200],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 77573/637009920],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 11167/53084160],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 167/3317760],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 1025/21233664],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 977/21233664],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 487/14929920],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 1/81920],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 43/192000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 29803/663552000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 143/5529600],
[[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 239/1536000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [12, 1]], 121/36864000],
[[[1, 5], [2, 6], [3, 1], [6, 1], [11, 1]], 401/7299072],
[[[1, 5], [2, 6], [3, 1], [6, 1], [22, 1]], 11467/109486080],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 25/331776],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 12707/49766400],
[[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 167/13934592],
[[[1, 5], [2, 6], [3, 1], [6, 3], [9, 1]], 1/93312],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 51103/313528320],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 357187/1612431360],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 2291/59719680],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 150131/2149908480],
[[[1, 5], [2, 6], [3, 1], [6, 4], [12, 1]], 11225/429981696],
[[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 97/8709120],
[[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 407/11059200],
[[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 6], [3, 1], [14, 1], [18, 1]], 11/544320],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 7219/331776000],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 564463/2149908480],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 437/5308416],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 7/172800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [12, 2]], 1/663552],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 4745/10616832],
[[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 709/23224320],
[[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 15863/238878720],
[[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 149/2580480],
[[[1, 5], [2, 6], [3, 2], [4, 2], [18, 1]], 7/1990656],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 9649/398131200],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 31693/95551488],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 1033/7962624],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 139/3317760],
[[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 173/3538944],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 12353/169869312],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 10147/79626240],
[[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1877/87091200],
[[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 6529/149299200],
[[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 3211/49766400],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 35/663552],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 2143/22118400],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 43/483840],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 13291/119439360],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 12611/55738368],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 103/552960],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 19219/71663616],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 266087/716636160],
[[[1, 5], [2, 6], [3, 2], [6, 3], [12, 1]], 9203/159252480],
[[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 59/2322432],
[[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/53760],
[[[1, 5], [2, 6], [3, 2], [7, 1], [12, 1]], 41/5806080],
[[[1, 5], [2, 6], [3, 2], [8, 1], [9, 1]], 331/5971968],
[[[1, 5], [2, 6], [3, 2], [8, 1], [14, 1]], 25/1161216],
[[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 89/2488320],
[[[1, 5], [2, 6], [3, 2], [9, 1], [12, 1]], 169/29859840],
[[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 19/829440],
[[[1, 5], [2, 6], [3, 2], [10, 1], [18, 1]], 1/311040],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 377953/716636160],
[[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 34709/4180377600],
[[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 3751/107495424],
[[[1, 5], [2, 6], [3, 3], [4, 1], [14, 1]], 1/82944],
[[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1519/199065600],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 6619/19906560],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 22769/637009920],
[[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1687/79626240],
[[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 1223/59719680],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 95237/1433272320],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 481523/3583180800],
[[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 25/5971968],
[[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 13381/597196800],
[[[1, 5], [2, 6], [3, 3], [5, 1], [12, 1]], 601/199065600],
[[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 4061/125411328],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 9131/107495424],
[[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 37/2177280],
[[[1, 5], [2, 6], [3, 3], [6, 1], [18, 1]], 7/559872],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 193/1244160],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 7991/47775744],
[[[1, 5], [2, 6], [3, 3], [6, 2], [12, 1]], 1129/31850496],
[[[1, 5], [2, 6], [3, 3], [8, 1], [12, 1]], 5/3981312],
[[[1, 5], [2, 6], [3, 3], [10, 1], [12, 1]], 1/829440],
[[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 5693/1791590400],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 64483/537477120],
[[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 8753/1433272320],
[[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 139/44789760],
[[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 1421/537477120],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 17729/477757440],
[[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 11939/716636160],
[[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 7145/429981696],
[[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 29/1492992],
[[[1, 5], [2, 6], [3, 4], [6, 1], [12, 1]], 1217/143327232],
[[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1939/429981696],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 443/44789760],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 7/32768],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1337/2048000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 7/345600],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 1141/9216000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 817/2048000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 31/2764800],
[[[1, 5], [2, 6], [4, 1], [6, 1], [11, 1]], 95/1216512],
[[[1, 5], [2, 6], [4, 1], [6, 1], [22, 1]], 883/6082560],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1135/7962624],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 4087/36864000],
[[[1, 5], [2, 6], [4, 1], [6, 2], [12, 2]], 7/1990656],
[[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 5/580608],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 74101/1045094400],
[[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 25211/179159040],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 6023/358318080],
[[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 29293/1791590400],
[[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 7789/537477120],
[[[1, 5], [2, 6], [4, 1], [7, 1], [9, 1]], 1259/58060800],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 2333/7372800],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 49/147456],
[[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 7/221184],
[[[1, 5], [2, 6], [4, 1], [14, 1], [18, 1]], 1787/29030400],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1919/59719680],
[[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 33203/309657600],
[[[1, 5], [2, 6], [4, 2], [5, 1], [9, 1]], 103/2764800],
[[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 67/806400],
[[[1, 5], [2, 6], [4, 2], [5, 1], [18, 1]], 1/55296],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 6523/110592000],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 5231/10616832],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 257/1382400],
[[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 1/147456],
[[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 19/387072],
[[[1, 5], [2, 6], [4, 2], [6, 2], [9, 1]], 1/221184],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 187/1161216],
[[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 10517/47775744],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 246079/1911029760],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 527/7962624],
[[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 2525/35831808],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 221/1376256],
[[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 143/2580480],
[[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 59/1548288],
[[[1, 5], [2, 6], [4, 2], [8, 1], [9, 1]], 641/8847360],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 4553/12386304],
[[[1, 5], [2, 6], [4, 2], [8, 1], [18, 1]], 2639/26542080],
[[[1, 5], [2, 6], [4, 2], [9, 1], [10, 1]], 23/1105920],
[[[1, 5], [2, 6], [4, 2], [9, 1], [12, 1]], 5/663552],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 21709/61931520],
[[[1, 5], [2, 6], [4, 2], [10, 1], [18, 1]], 47/552960],
[[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 251/3870720],
[[[1, 5], [2, 6], [4, 2], [12, 1], [18, 1]], 1/110592],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 109/2211840],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 2257/7372800],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 8593/29491200],
[[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 125/1548288],
[[[1, 5], [2, 6], [4, 3], [6, 1], [9, 1]], 49/3981312],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 27319/185794560],
[[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 389/2949120],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 3059/10616832],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 39209/398131200],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 2953/31850496],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 3811/8847360],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 167/737280],
[[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 13/122880],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 581/13271040],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 373/1327104],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 8153/106168320],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 14665/254803968],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 1/184320],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 4373/13824000],
[[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 47/3870720],
[[[1, 5], [2, 6], [5, 1], [6, 2], [9, 1]], 1/622080],
[[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 11/241920],
[[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 89/1244160],
[[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 1/207360],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 8807/149299200],
[[[1, 5], [2, 6], [5, 1], [6, 3], [12, 1]], 1/207360],
[[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 107/2580480],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 31/645120],
[[[1, 5], [2, 6], [5, 1], [8, 1], [9, 1]], 1/207360],
[[[1, 5], [2, 6], [5, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 5], [2, 6], [5, 1], [9, 1], [10, 1]], 193/8294400],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 73/645120],
[[[1, 5], [2, 6], [5, 1], [10, 1], [18, 1]], 31/1036800],
[[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 19/1105920],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 341/1728000],
[[[1, 5], [2, 6], [6, 1], [7, 1], [9, 1]], 23/1741824],
[[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 3017/33177600],
[[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 7/221184],
[[[1, 5], [2, 6], [6, 1], [10, 2], [12, 1]], 5/442368],
[[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 199/3870720],
[[[1, 5], [2, 6], [6, 2], [7, 1], [8, 1]], 5/387072],
[[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 2479/34836480],
[[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 101/829440],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1033/9953280],
[[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1529/9953280],
[[[1, 5], [2, 6], [6, 2], [12, 1], [14, 1]], 991/46448640],
[[[1, 5], [2, 6], [6, 2], [12, 1], [18, 1]], 131/11943936],
[[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 13361/597196800],
[[[1, 5], [2, 6], [6, 3], [8, 1], [12, 1]], 31/7962624],
[[[1, 5], [2, 6], [6, 3], [10, 1], [12, 1]], 35/2654208],
[[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 1/35840],
[[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 1273/9676800],
[[[1, 5], [2, 6], [8, 1], [10, 1], [18, 1]], 1/102400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 53/18432000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 2820197/15049359360],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 1123/31850496],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 315463/3483648000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [12, 2]], 1/26542080],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 10271827/30098718720],
[[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 1063/185794560],
[[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 749/79626240],
[[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 58099/557383680],
[[[1, 5], [2, 8], [3, 1], [4, 2], [18, 1]], 409/111476736],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 89/9830400],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 7587071/26754416640],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 225847/1911029760],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 12931/132710400],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 889/70778880],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 266575/2675441664],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 28763/895795200],
[[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 397/309657600],
[[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 307/199065600],
[[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 11/2419200],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1783/331776000],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 479/26542080],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 333989/1741824000],
[[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 785/148635648],
[[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 29/5971968],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 7849/41803776],
[[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 81269/806215680],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 418343/4299816960],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 941237/3762339840],
[[[1, 5], [2, 8], [3, 1], [6, 3], [12, 1]], 7097/358318080],
[[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 233/92897280],
[[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/3870720],
[[[1, 5], [2, 8], [3, 1], [7, 1], [12, 1]], 19/74317824],
[[[1, 5], [2, 8], [3, 1], [8, 1], [9, 1]], 301/119439360],
[[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 281/13271040],
[[[1, 5], [2, 8], [3, 1], [8, 1], [18, 1]], 19/119439360],
[[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/1658880],
[[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 11287/209018880],
[[[1, 5], [2, 8], [3, 1], [10, 1], [18, 1]], 247/65318400],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 1530437/3583180800],
[[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 37/13934592],
[[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 1411/238878720],
[[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 17/860160],
[[[1, 5], [2, 8], [3, 2], [4, 1], [18, 1]], 17/29859840],
[[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 13/3538944],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 31987/79626240],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 7499/238878720],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 751/29030400],
[[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 91/35389440],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 195787/1911029760],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 129823/4777574400],
[[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 199/199065600],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 6521/597196800],
[[[1, 5], [2, 8], [3, 2], [5, 1], [12, 1]], 53/265420800],
[[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 641/139345920],
[[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 1439/179159040],
[[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 60371/1114767360],
[[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 479/44789760],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 990959/10032906240],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 1428391/5573836800],
[[[1, 5], [2, 8], [3, 2], [6, 2], [12, 1]], 37/6635520],
[[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 5], [2, 8], [3, 2], [8, 1], [12, 1]], 1/10616832],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 5549/7166361600],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 1266179/10032906240],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 40901/11466178560],
[[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 5407/2388787200],
[[[1, 5], [2, 8], [3, 3], [4, 1], [12, 1]], 523/1433272320],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 44173/1672151040],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1453/447897600],
[[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 10313/1433272320],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 13777/1045094400],
[[[1, 5], [2, 8], [3, 3], [6, 1], [12, 1]], 59/39813120],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 22829/4299816960],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 419/17694720],
[[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 1339/309657600],
[[[1, 5], [2, 8], [4, 1], [5, 1], [9, 1]], 5/3981312],
[[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 2203/77414400],
[[[1, 5], [2, 8], [4, 1], [5, 1], [18, 1]], 223/99532800],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 289/55296000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 10597/95551488],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 2131/6912000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [12, 2]], 19/79626240],
[[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 13/3096576],
[[[1, 5], [2, 8], [4, 1], [6, 2], [9, 1]], 1/3981312],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 145739/696729600],
[[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 1237943/7166361600],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 7756379/80263249920],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 5271449/35831808000],
[[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 220399/7166361600],
[[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 853/123863040],
[[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/344064],
[[[1, 5], [2, 8], [4, 1], [7, 1], [12, 1]], 1/3096576],
[[[1, 5], [2, 8], [4, 1], [8, 1], [9, 1]], 581/159252480],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 71033/557383680],
[[[1, 5], [2, 8], [4, 1], [8, 1], [18, 1]], 1187/123863040],
[[[1, 5], [2, 8], [4, 1], [9, 1], [10, 1]], 31/33177600],
[[[1, 5], [2, 8], [4, 1], [9, 1], [12, 1]], 1/19906560],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 2128487/9289728000],
[[[1, 5], [2, 8], [4, 1], [10, 1], [18, 1]], 13649/497664000],
[[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 59/9289728],
[[[1, 5], [2, 8], [4, 1], [12, 1], [18, 1]], 19/59719680],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 4279/99532800],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 647/8847360],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 597487/3096576000],
[[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 1/368640],
[[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 109/8847360],
[[[1, 5], [2, 8], [4, 2], [6, 1], [9, 1]], 25/5308416],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 12847/46448640],
[[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 8671/59719680],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 91/294912],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 81719/265420800],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 61813/955514880],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 50471/132710400],
[[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 619/39813120],
[[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 1691/58060800],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 5713/132710400],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 2257/7077888],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 31781/132710400],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 14479/318504960],
[[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 3/1433600],
[[[1, 5], [2, 8], [5, 1], [6, 1], [9, 1]], 1/2488320],
[[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 17/691200],
[[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 61/6220800],
[[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 47639/497664000],
[[[1, 5], [2, 8], [5, 1], [6, 2], [12, 1]], 13/8294400],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 40051/995328000],
[[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 17/6193152],
[[[1, 5], [2, 8], [6, 1], [8, 1], [9, 1]], 1/39813120],
[[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 11551/167215104],
[[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 12643/501645312],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 119713/836075520],
[[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 14281/232243200],
[[[1, 5], [2, 8], [6, 1], [12, 1], [14, 1]], 883/185794560],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 98513/1393459200],
[[[1, 5], [2, 8], [6, 2], [8, 1], [12, 1]], 1873/1114767360],
[[[1, 5], [2, 8], [6, 2], [10, 1], [12, 1]], 11147/928972800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 523005967/3611846246400],
[[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 19/123863040],
[[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 31/159252480],
[[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 62849/4180377600],
[[[1, 5], [2, 10], [3, 1], [4, 1], [18, 1]], 7681/25082265600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 9367/14863564800],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 16409123/107017666560],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 173/13762560],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 116443/4180377600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 935/3567255552],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 5631949/100329062400],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 884959/200658124800],
[[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/66355200],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 164069/83607552000],
[[[1, 5], [2, 10], [3, 1], [5, 1], [12, 1]], 1/530841600],
[[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 1/8709120],
[[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 29/238878720],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 4553327/175575859200],
[[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 64667/15049359360],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 770003/32105299968],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 1003699/9405849600],
[[[1, 5], [2, 10], [3, 1], [6, 2], [12, 1]], 77521/60197437440],
[[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 10253/4180377600],
[[[1, 5], [2, 10], [3, 1], [8, 1], [12, 1]], 1/424673280],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 169/3185049600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 718639/10749542400],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1133/1486356480],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 6221/2090188800],
[[[1, 5], [2, 10], [3, 2], [4, 1], [12, 1]], 1/53084160],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 320831/15288238080],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 121/464486400],
[[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 29921/14863564800],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 185081/12541132800],
[[[1, 5], [2, 10], [3, 2], [6, 1], [12, 1]], 419/6688604160],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 414611/200658124800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 112589/12541132800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 13/8257536],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 1278103/74317824000],
[[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 1/3870720],
[[[1, 5], [2, 10], [4, 1], [6, 1], [9, 1]], 11/159252480],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 17661083/234101145600],
[[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 697553/33443020800],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 796007/13377208320],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 77264153/501645312000],
[[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 254239/37623398400],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 1405351/33443020800],
[[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 31/371589120],
[[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 101/83607552],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 4901/597196800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 336109/3822059520],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 1962847/11147673600],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 203053/32105299968],
[[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 23/38707200],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 1364257/83607552000],
[[[1, 5], [2, 10], [5, 1], [6, 1], [12, 1]], 31/928972800],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 188647/8360755200],
[[[1, 5], [2, 10], [6, 1], [8, 1], [12, 1]], 4411/66886041600],
[[[1, 5], [2, 10], [6, 1], [10, 1], [12, 1]], 353/348364800],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 4973/668860416000],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 94616473/5045118566400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 794383/2942985830400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 5828929/2759049216000],
[[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 143/64210599936],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 455913683/52973744947200],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 71957/1051066368000],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 987487/1471492915200],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 209967253/33108590592000],
[[[1, 5], [2, 12], [3, 1], [6, 1], [12, 1]], 12359/3310859059200],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 295686199/264868724736000],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 18113/35831808000],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 133927/25082265600],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 25133179/1003290624000],
[[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 28918397/132434362368000],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 876769/2118949797888],
[[[1, 5], [3, 1], [4, 1], [8, 1], [9, 2]], 1/62208],
[[[1, 5], [3, 1], [4, 2], [5, 1], [11, 1]], 1/42240],
[[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/134400],
[[[1, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 1/345600],
[[[1, 5], [3, 1], [4, 2], [6, 2], [11, 1]], 1/2433024],
[[[1, 5], [3, 1], [4, 2], [11, 1], [12, 1]], 1/405504],
[[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/1290240],
[[[1, 5], [3, 1], [5, 1], [6, 2], [11, 1]], 1/126720],
[[[1, 5], [3, 1], [5, 1], [11, 1], [12, 1]], 1/21120],
[[[1, 5], [3, 1], [5, 2], [6, 2], [7, 1]], 1/134400],
[[[1, 5], [3, 1], [5, 2], [7, 1], [12, 1]], 1/22400],
[[[1, 5], [3, 2], [4, 1], [8, 1], [11, 1]], 1/152064],
[[[1, 5], [3, 2], [4, 2], [5, 2], [6, 2]], 1/2764800],
[[[1, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 1/460800],
[[[1, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 11/165888],
[[[1, 5], [3, 2], [4, 2], [6, 4], [12, 1]], 1/2985984],
[[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/48384],
[[[1, 5], [3, 2], [4, 3], [8, 1], [9, 1]], 1/331776],
[[[1, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1/663552],
[[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 17/90720],
[[[1, 5], [3, 2], [6, 2], [7, 1], [9, 1]], 1/108864],
[[[1, 5], [3, 2], [7, 1], [9, 1], [12, 1]], 1/18144],
[[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/8294400],
[[[1, 5], [3, 3], [4, 2], [5, 1], [7, 1]], 7/9953280],
[[[1, 5], [3, 3], [4, 2], [5, 1], [9, 1]], 1/77760],
[[[1, 5], [3, 3], [4, 2], [6, 2], [7, 1]], 1/1161216],
[[[1, 5], [3, 3], [4, 2], [6, 2], [9, 1]], 5/5971968],
[[[1, 5], [3, 3], [4, 2], [7, 1], [12, 1]], 1/193536],
[[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 5/995328],
[[[1, 5], [3, 3], [5, 1], [6, 2], [7, 1]], 1/145152],
[[[1, 5], [3, 3], [5, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 5], [3, 3], [5, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 5], [3, 3], [5, 1], [9, 1], [12, 1]], 1/51840],
[[[1, 5], [3, 4], [4, 1], [7, 1], [8, 1]], 1/3483648],
[[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 5/1492992],
[[[1, 5], [3, 4], [4, 2], [5, 1], [6, 2]], 1/2488320],
[[[1, 5], [3, 4], [4, 2], [5, 1], [12, 1]], 1/414720],
[[[1, 5], [3, 4], [4, 2], [6, 2], [12, 1]], 1/331776],
[[[1, 5], [3, 5], [4, 1], [5, 1], [8, 1]], 1/7464960],
[[[1, 5], [3, 5], [4, 1], [6, 2], [8, 1]], 1/17915904],
[[[1, 5], [3, 5], [4, 1], [8, 1], [12, 1]], 1/2985984],
[[[1, 5], [4, 1], [5, 1], [8, 1], [11, 1]], 1/14080],
[[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 5], [4, 1], [5, 2], [8, 1], [9, 1]], 1/115200],
[[[1, 5], [4, 2], [5, 1], [7, 1], [9, 1]], 1/967680],
[[[1, 5], [4, 3], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/128000],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/56448],
[[[1, 6], [2, 1], [3, 1], [4, 2], [9, 2]], 5/746496],
[[[1, 6], [2, 1], [3, 1], [4, 3], [11, 1]], 41/1824768],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 1/1843200],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/884736],
[[[1, 6], [2, 1], [3, 1], [4, 5], [9, 1]], 1/7962624],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 61/211680],
[[[1, 6], [2, 1], [3, 1], [5, 1], [9, 2]], 1/12960],
[[[1, 6], [2, 1], [3, 1], [5, 3], [6, 2]], 1/288000],
[[[1, 6], [2, 1], [3, 1], [5, 3], [12, 1]], 1/48000],
[[[1, 6], [2, 1], [3, 1], [6, 2], [7, 2]], 11/1693440],
[[[1, 6], [2, 1], [3, 1], [7, 1], [11, 1]], 1/9504],
[[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/9408],
[[[1, 6], [2, 1], [3, 1], [7, 2], [12, 1]], 11/282240],
[[[1, 6], [2, 1], [3, 1], [8, 1], [9, 2]], 1/124416],
[[[1, 6], [2, 1], [3, 1], [9, 1], [11, 1]], 13/456192],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 1/84672],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 19/497664],
[[[1, 6], [2, 1], [3, 2], [4, 2], [11, 1]], 25/1824768],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 17/3317760],
[[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/774144],
[[[1, 6], [2, 1], [3, 2], [4, 4], [9, 1]], 23/7962624],
[[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 7/13271040],
[[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1/884736],
[[[1, 6], [2, 1], [3, 2], [5, 1], [11, 1]], 1/10560],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 3]], 1/172800],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 19/151200],
[[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/8100],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/14112],
[[[1, 6], [2, 1], [3, 2], [6, 1], [9, 2]], 1/23328],
[[[1, 6], [2, 1], [3, 2], [6, 2], [11, 1]], 13/3649536],
[[[1, 6], [2, 1], [3, 2], [6, 5], [8, 1]], 1/35831808],
[[[1, 6], [2, 1], [3, 2], [8, 1], [11, 1]], 13/304128],
[[[1, 6], [2, 1], [3, 2], [11, 1], [12, 1]], 13/608256],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 5]], 1/17915904],
[[[1, 6], [2, 1], [3, 3], [4, 1], [11, 1]], 65/4866048],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 7/995328],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 49/15925248],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 3]], 1/3981312],
[[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 107/104509440],
[[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 305/26873856],
[[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 1/3317760],
[[[1, 6], [2, 1], [3, 3], [5, 2], [6, 2]], 1/259200],
[[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/16588800],
[[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/2073600],
[[[1, 6], [2, 1], [3, 3], [5, 2], [12, 1]], 1/43200],
[[[1, 6], [2, 1], [3, 3], [6, 1], [11, 1]], 5/114048],
[[[1, 6], [2, 1], [3, 3], [6, 3], [7, 1]], 5/435456],
[[[1, 6], [2, 1], [3, 3], [6, 3], [9, 1]], 1/186624],
[[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 59/489888],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/2488320],
[[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 1/1990656],
[[[1, 6], [2, 1], [3, 4], [4, 1], [12, 2]], 1/559872],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 3]], 1/2654208],
[[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 671/209018880],
[[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 17/1679616],
[[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 49/89579520],
[[[1, 6], [2, 1], [3, 4], [4, 3], [6, 2]], 7/26873856],
[[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 13/11943936],
[[[1, 6], [2, 1], [3, 4], [4, 3], [10, 1]], 1/14929920],
[[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 5/2985984],
[[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 1/3981312],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 3]], 7/1244160],
[[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 505/20901888],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 7/155520],
[[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/1555200],
[[[1, 6], [2, 1], [3, 4], [6, 2], [7, 1]], 17/3919104],
[[[1, 6], [2, 1], [3, 4], [6, 2], [9, 1]], 5/995328],
[[[1, 6], [2, 1], [3, 4], [6, 3], [8, 1]], 475/107495424],
[[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 17/6967296],
[[[1, 6], [2, 1], [3, 4], [7, 1], [12, 1]], 17/653184],
[[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 53/2985984],
[[[1, 6], [2, 1], [3, 4], [9, 1], [12, 1]], 5/165888],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 3]], 7/13436928],
[[[1, 6], [2, 1], [3, 5], [4, 1], [7, 1]], 1/870912],
[[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 1/147456],
[[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 29/19906560],
[[[1, 6], [2, 1], [3, 5], [4, 2], [6, 2]], 71/429981696],
[[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/3981312],
[[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 71/71663616],
[[[1, 6], [2, 1], [3, 5], [4, 3], [6, 1]], 1/8957952],
[[[1, 6], [2, 1], [3, 5], [5, 1], [6, 2]], 1/1492992],
[[[1, 6], [2, 1], [3, 5], [5, 1], [8, 1]], 1/14929920],
[[[1, 6], [2, 1], [3, 5], [5, 1], [10, 1]], 1/3732480],
[[[1, 6], [2, 1], [3, 5], [5, 1], [12, 1]], 1/248832],
[[[1, 6], [2, 1], [3, 5], [6, 1], [7, 1]], 23/3919104],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 13/559872],
[[[1, 6], [2, 1], [3, 5], [6, 2], [8, 1]], 1/35831808],
[[[1, 6], [2, 1], [3, 5], [8, 1], [12, 1]], 1/5971968],
[[[1, 6], [2, 1], [3, 6], [4, 1], [5, 1]], 1/2799360],
[[[1, 6], [2, 1], [3, 6], [4, 1], [6, 2]], 1/8957952],
[[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 17/40310784],
[[[1, 6], [2, 1], [3, 6], [4, 1], [10, 1]], 1/12597120],
[[[1, 6], [2, 1], [3, 6], [4, 1], [12, 1]], 97/120932352],
[[[1, 6], [2, 1], [3, 6], [4, 2], [6, 1]], 1/2654208],
[[[1, 6], [2, 1], [3, 6], [5, 1], [6, 1]], 7/11197440],
[[[1, 6], [2, 1], [3, 6], [6, 1], [8, 1]], 1/15116544],
[[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 1/279936],
[[[1, 6], [2, 1], [3, 7], [4, 1], [6, 1]], 1/483729408],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/6272],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 1/102400],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 3/128000],
[[[1, 6], [2, 1], [4, 1], [5, 3], [10, 1]], 1/80000],
[[[1, 6], [2, 1], [4, 1], [5, 3], [12, 1]], 1/48000],
[[[1, 6], [2, 1], [4, 1], [6, 2], [18, 2]], 1/7464960],
[[[1, 6], [2, 1], [4, 1], [6, 3], [22, 1]], 1/218972160],
[[[1, 6], [2, 1], [4, 1], [6, 5], [18, 1]], 1/537477120],
[[[1, 6], [2, 1], [4, 1], [7, 1], [11, 1]], 1/9856],
[[[1, 6], [2, 1], [4, 1], [9, 1], [11, 1]], 1/67584],
[[[1, 6], [2, 1], [4, 1], [18, 1], [22, 1]], 1/3041280],
[[[1, 6], [2, 1], [4, 2], [5, 1], [11, 1]], 7/168960],
[[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 11/537600],
[[[1, 6], [2, 1], [4, 2], [5, 2], [9, 1]], 1/345600],
[[[1, 6], [2, 1], [4, 2], [6, 3], [8, 2]], 1/15925248],
[[[1, 6], [2, 1], [4, 2], [8, 1], [11, 1]], 1/33792],
[[[1, 6], [2, 1], [4, 2], [8, 2], [9, 1]], 1/221184],
[[[1, 6], [2, 1], [4, 2], [8, 2], [18, 1]], 1/221184],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/614400],
[[[1, 6], [2, 1], [4, 3], [5, 2], [10, 1]], 1/768000],
[[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 1/460800],
[[[1, 6], [2, 1], [4, 3], [6, 1], [11, 1]], 1/202752],
[[[1, 6], [2, 1], [4, 3], [7, 1], [9, 1]], 1/725760],
[[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/1474560],
[[[1, 6], [2, 1], [4, 4], [7, 1], [8, 1]], 1/344064],
[[[1, 6], [2, 1], [5, 1], [8, 1], [11, 1]], 3/28160],
[[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/12800],
[[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/5600],
[[[1, 6], [2, 1], [5, 2], [8, 1], [9, 1]], 1/230400],
[[[1, 6], [2, 1], [5, 2], [9, 1], [10, 1]], 1/28800],
[[[1, 6], [2, 1], [5, 3], [6, 1], [8, 1]], 1/96000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 7/64000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 6]], 7/716636160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 13/56448],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 1/24576],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 2]], 305/2985984],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 1/384000],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 5]], 1/35831808],
[[[1, 6], [2, 3], [3, 1], [4, 2], [11, 1]], 37/202752],
[[[1, 6], [2, 3], [3, 1], [4, 2], [22, 1]], 37/1351680],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 103/2073600],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 4]], 17/47775744],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 281/1769472],
[[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 1/442368],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 19/31850496],
[[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 491/18579456],
[[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 637/39813120],
[[[1, 6], [2, 3], [3, 1], [4, 4], [18, 1]], 1/442368],
[[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 7/983040],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 17/42467328],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 215/5308416],
[[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 1/737280],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 49/7077888],
[[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 7/21233664],
[[[1, 6], [2, 3], [3, 1], [5, 1], [11, 1]], 91/380160],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/64800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 463/1209600],
[[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 67/207360],
[[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 71/288000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/6720],
[[[1, 6], [2, 3], [3, 1], [6, 1], [9, 2]], 5/279936],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1/576000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [18, 2]], 1/186624],
[[[1, 6], [2, 3], [3, 1], [6, 2], [11, 1]], 31129/437944320],
[[[1, 6], [2, 3], [3, 1], [6, 2], [22, 1]], 5/456192],
[[[1, 6], [2, 3], [3, 1], [6, 3], [8, 2]], 1/663552],
[[[1, 6], [2, 3], [3, 1], [6, 3], [10, 2]], 1/74649600],
[[[1, 6], [2, 3], [3, 1], [6, 4], [7, 1]], 11/17418240],
[[[1, 6], [2, 3], [3, 1], [6, 4], [14, 1]], 1/31352832],
[[[1, 6], [2, 3], [3, 1], [6, 4], [18, 1]], 1/209952],
[[[1, 6], [2, 3], [3, 1], [6, 5], [8, 1]], 11/26873856],
[[[1, 6], [2, 3], [3, 1], [6, 5], [10, 1]], 1/89579520],
[[[1, 6], [2, 3], [3, 1], [6, 5], [12, 1]], 1/5971968],
[[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 6], [2, 3], [3, 1], [8, 1], [11, 1]], 223/1824768],
[[[1, 6], [2, 3], [3, 1], [8, 1], [22, 1]], 17/1216512],
[[[1, 6], [2, 3], [3, 1], [8, 2], [9, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [10, 1], [11, 1]], 7/190080],
[[[1, 6], [2, 3], [3, 1], [10, 1], [22, 1]], 1/126720],
[[[1, 6], [2, 3], [3, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 6], [2, 3], [3, 1], [10, 2], [18, 1]], 1/1036800],
[[[1, 6], [2, 3], [3, 1], [11, 1], [12, 1]], 9/901120],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 5]], 5111/4299816960],
[[[1, 6], [2, 3], [3, 2], [4, 1], [11, 1]], 1193/7299072],
[[[1, 6], [2, 3], [3, 2], [4, 1], [22, 1]], 5/304128],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 253/2764800],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 4]], 161/23887872],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 53/294912],
[[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/460800],
[[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 11/829440],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 841/179159040],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 139/4354560],
[[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1727/19906560],
[[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/129024],
[[[1, 6], [2, 3], [3, 2], [4, 3], [18, 1]], 1/995328],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1289/79626240],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 2747/318504960],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 799/15925248],
[[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/552960],
[[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 49/6635520],
[[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 701/127401984],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 4]], 7/746496],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/43200],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 7933/24883200],
[[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 31/518400],
[[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 119/864000],
[[[1, 6], [2, 3], [3, 2], [5, 2], [12, 1]], 71/1382400],
[[[1, 6], [2, 3], [3, 2], [6, 1], [11, 1]], 1229/5474304],
[[[1, 6], [2, 3], [3, 2], [6, 1], [22, 1]], 359/16220160],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 37/1327104],
[[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 109/6635520],
[[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 113/4354560],
[[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 25/2239488],
[[[1, 6], [2, 3], [3, 2], [6, 3], [14, 1]], 65/13934592],
[[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 9011/358318080],
[[[1, 6], [2, 3], [3, 2], [6, 4], [8, 1]], 683/89579520],
[[[1, 6], [2, 3], [3, 2], [6, 4], [10, 1]], 91/22394880],
[[[1, 6], [2, 3], [3, 2], [6, 4], [12, 1]], 47/11943936],
[[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 107/435456],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 18407/398131200],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 4]], 31891/1433272320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 323/10616832],
[[[1, 6], [2, 3], [3, 3], [4, 1], [12, 2]], 1/124416],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 803/23887872],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 4637/79626240],
[[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 17/124416],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 10753/597196800],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 1783/47775744],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 15251/382205952],
[[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 13/7962624],
[[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 683/23887872],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 37/4478976],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 2143/14929920],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 147857/1393459200],
[[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1033/5598720],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 713/4665600],
[[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 59/5971968],
[[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/921600],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 5963/22394880],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 933827/3224862720],
[[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/387072],
[[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 23/1492992],
[[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 323/5971968],
[[[1, 6], [2, 3], [3, 3], [6, 3], [10, 1]], 107/3317760],
[[[1, 6], [2, 3], [3, 3], [6, 3], [12, 1]], 29/2985984],
[[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 8231/209018880],
[[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 611/43545600],
[[[1, 6], [2, 3], [3, 3], [7, 1], [12, 1]], 13/290304],
[[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 1325/13436928],
[[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 5/139968],
[[[1, 6], [2, 3], [3, 3], [9, 1], [12, 1]], 881/19906560],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 6841/107495424],
[[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 8027/167215104],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 8395/71663616],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 4943/238878720],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 4817/107495424],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 1279/35831808],
[[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 361/74649600],
[[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 3007/89579520],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 3241/268738560],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 20513/134369280],
[[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 647/89579520],
[[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 623/33177600],
[[[1, 6], [2, 3], [3, 4], [5, 1], [12, 1]], 103/7464960],
[[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 5333/39191040],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 8261/40310784],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 2621/44789760],
[[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 41/4478976],
[[[1, 6], [2, 3], [3, 4], [6, 2], [12, 1]], 8039/107495424],
[[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 1/1244160],
[[[1, 6], [2, 3], [3, 4], [8, 1], [12, 1]], 17/4478976],
[[[1, 6], [2, 3], [3, 4], [10, 1], [12, 1]], 1/233280],
[[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1579/179159040],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 23005/859963392],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 121/17915904],
[[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 11/4478976],
[[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 2275/214990848],
[[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 179/17915904],
[[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 427/14929920],
[[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 143/13436928],
[[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/559872],
[[[1, 6], [2, 3], [3, 5], [6, 1], [12, 1]], 283/13436928],
[[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 10639/1289945088],
[[[1, 6], [2, 3], [4, 1], [5, 1], [11, 1]], 93/225280],
[[[1, 6], [2, 3], [4, 1], [5, 1], [22, 1]], 13/1013760],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 3]], 1/345600],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 381/716800],
[[[1, 6], [2, 3], [4, 1], [5, 2], [9, 1]], 551/5529600],
[[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 11/192000],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/8064],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 1/73728],
[[[1, 6], [2, 3], [4, 1], [6, 1], [18, 2]], 1/233280],
[[[1, 6], [2, 3], [4, 1], [6, 2], [11, 1]], 7/304128],
[[[1, 6], [2, 3], [4, 1], [6, 2], [22, 1]], 1/570240],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 19/10616832],
[[[1, 6], [2, 3], [4, 1], [6, 3], [10, 2]], 11/995328000],
[[[1, 6], [2, 3], [4, 1], [6, 4], [14, 1]], 1/26127360],
[[[1, 6], [2, 3], [4, 1], [6, 4], [18, 1]], 139/179159040],
[[[1, 6], [2, 3], [4, 1], [6, 5], [8, 1]], 1/35831808],
[[[1, 6], [2, 3], [4, 1], [6, 5], [10, 1]], 11/1791590400],
[[[1, 6], [2, 3], [4, 1], [6, 5], [12, 1]], 1/716636160],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 3/14336],
[[[1, 6], [2, 3], [4, 1], [8, 1], [11, 1]], 35/180224],
[[[1, 6], [2, 3], [4, 1], [8, 1], [22, 1]], 193/8110080],
[[[1, 6], [2, 3], [4, 1], [8, 2], [9, 1]], 1/49152],
[[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 1/172032],
[[[1, 6], [2, 3], [4, 1], [8, 2], [18, 1]], 1/49152],
[[[1, 6], [2, 3], [4, 1], [10, 1], [11, 1]], 107/2534400],
[[[1, 6], [2, 3], [4, 1], [10, 1], [22, 1]], 7/563200],
[[[1, 6], [2, 3], [4, 1], [10, 2], [14, 1]], 1/256000],
[[[1, 6], [2, 3], [4, 1], [10, 2], [18, 1]], 11/13824000],
[[[1, 6], [2, 3], [4, 1], [11, 1], [12, 1]], 17/1520640],
[[[1, 6], [2, 3], [4, 1], [12, 1], [22, 1]], 1/608256],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 17/81920],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 73/1024000],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 13/1382400],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 143/921600],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 169/768000],
[[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 13/115200],
[[[1, 6], [2, 3], [4, 2], [6, 1], [11, 1]], 325/2433024],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 17/1327104],
[[[1, 6], [2, 3], [4, 2], [6, 3], [14, 1]], 1/26542080],
[[[1, 6], [2, 3], [4, 2], [6, 4], [8, 1]], 1/4976640],
[[[1, 6], [2, 3], [4, 2], [6, 4], [10, 1]], 7/398131200],
[[[1, 6], [2, 3], [4, 2], [7, 1], [9, 1]], 779/7741440],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/51200],
[[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [4, 2], [10, 2], [12, 1]], 1/460800],
[[[1, 6], [2, 3], [4, 2], [14, 1], [18, 1]], 1/368640],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 1/7962624],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 7237/77414400],
[[[1, 6], [2, 3], [4, 3], [5, 1], [9, 1]], 17/921600],
[[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/215040],
[[[1, 6], [2, 3], [4, 3], [5, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 7/552960],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 49/1769472],
[[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 1/147456],
[[[1, 6], [2, 3], [4, 3], [6, 2], [7, 1]], 1/110592],
[[[1, 6], [2, 3], [4, 3], [6, 2], [18, 1]], 409/119439360],
[[[1, 6], [2, 3], [4, 3], [6, 3], [8, 1]], 221/382205952],
[[[1, 6], [2, 3], [4, 3], [6, 3], [10, 1]], 1/39813120],
[[[1, 6], [2, 3], [4, 3], [6, 3], [12, 1]], 1/7962624],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 493/5160960],
[[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 29/1290240],
[[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 23/774144],
[[[1, 6], [2, 3], [4, 3], [8, 1], [9, 1]], 49/1769472],
[[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/86016],
[[[1, 6], [2, 3], [4, 3], [8, 1], [18, 1]], 221/5308416],
[[[1, 6], [2, 3], [4, 3], [9, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 3], [4, 3], [9, 1], [12, 1]], 1/331776],
[[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 409/154828800],
[[[1, 6], [2, 3], [4, 3], [10, 1], [18, 1]], 1/552960],
[[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 3], [4, 3], [12, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/1105920],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 1/18432],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 89/4915200],
[[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 23/2211840],
[[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 1/6193152],
[[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1/2654208],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 7/884736],
[[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 1/663552],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 49/1474560],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 55/884736],
[[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 1/2211840],
[[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 7/1769472],
[[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/8847360],
[[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 5/2359296],
[[[1, 6], [2, 3], [5, 1], [6, 1], [11, 1]], 7/63360],
[[[1, 6], [2, 3], [5, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 6], [2, 3], [5, 1], [6, 4], [10, 1]], 7/29859840],
[[[1, 6], [2, 3], [5, 1], [7, 1], [9, 1]], 1937/19353600],
[[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 1/10240],
[[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 11/122880],
[[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 11/201600],
[[[1, 6], [2, 3], [5, 2], [6, 1], [9, 1]], 1/129600],
[[[1, 6], [2, 3], [5, 2], [6, 2], [8, 1]], 1/138240],
[[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/28800],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 89/256000],
[[[1, 6], [2, 3], [6, 1], [7, 1], [8, 2]], 11/645120],
[[[1, 6], [2, 3], [6, 1], [8, 1], [11, 1]], 7/276480],
[[[1, 6], [2, 3], [6, 1], [8, 1], [22, 1]], 1/135168],
[[[1, 6], [2, 3], [6, 1], [8, 2], [14, 1]], 1/258048],
[[[1, 6], [2, 3], [6, 1], [8, 2], [18, 1]], 1/110592],
[[[1, 6], [2, 3], [6, 1], [10, 1], [22, 1]], 1/506880],
[[[1, 6], [2, 3], [6, 1], [10, 2], [14, 1]], 1/1612800],
[[[1, 6], [2, 3], [6, 1], [10, 2], [18, 1]], 1/4147200],
[[[1, 6], [2, 3], [6, 1], [12, 1], [22, 1]], 31/24330240],
[[[1, 6], [2, 3], [6, 2], [7, 1], [9, 1]], 11/2177280],
[[[1, 6], [2, 3], [6, 2], [8, 1], [10, 2]], 1/2764800],
[[[1, 6], [2, 3], [6, 2], [10, 2], [12, 1]], 1/5529600],
[[[1, 6], [2, 3], [6, 2], [14, 1], [18, 1]], 1/1741824],
[[[1, 6], [2, 3], [6, 3], [8, 1], [14, 1]], 25/27869184],
[[[1, 6], [2, 3], [6, 3], [8, 1], [18, 1]], 5/995328],
[[[1, 6], [2, 3], [6, 3], [10, 1], [14, 1]], 751/4180377600],
[[[1, 6], [2, 3], [6, 3], [10, 1], [18, 1]], 1/1244160],
[[[1, 6], [2, 3], [6, 3], [12, 1], [14, 1]], 1/2322432],
[[[1, 6], [2, 3], [6, 3], [12, 1], [18, 1]], 91/59719680],
[[[1, 6], [2, 3], [6, 4], [8, 1], [10, 1]], 1/59719680],
[[[1, 6], [2, 3], [7, 1], [8, 1], [9, 1]], 71/2903040],
[[[1, 6], [2, 3], [7, 1], [9, 1], [10, 1]], 11/604800],
[[[1, 6], [2, 3], [8, 1], [14, 1], [18, 1]], 1/387072],
[[[1, 6], [2, 3], [10, 1], [14, 1], [18, 1]], 31/58060800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1939/429981696],
[[[1, 6], [2, 5], [3, 1], [4, 1], [11, 1]], 883/6082560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [22, 1]], 95/1216512],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 257/1382400],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 17729/477757440],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 5231/10616832],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 6523/110592000],
[[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 1/147456],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 95237/1433272320],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 27319/185794560],
[[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 389/2949120],
[[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 125/1548288],
[[[1, 6], [2, 5], [3, 1], [4, 3], [18, 1]], 49/3981312],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 8153/106168320],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 12353/169869312],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 373/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 581/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 14665/254803968],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 977/21233664],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 29/1492992],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 7/221184],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 341/1728000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 2143/22118400],
[[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 3017/33177600],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 4373/13824000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [12, 1]], 5/442368],
[[[1, 6], [2, 5], [3, 1], [6, 1], [11, 1]], 11467/109486080],
[[[1, 6], [2, 5], [3, 1], [6, 1], [22, 1]], 401/7299072],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 35/663552],
[[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 3211/49766400],
[[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 37/2177280],
[[[1, 6], [2, 5], [3, 1], [6, 3], [9, 1]], 7/559872],
[[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 4061/125411328],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 9131/107495424],
[[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 7145/429981696],
[[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 11939/716636160],
[[[1, 6], [2, 5], [3, 1], [6, 4], [12, 1]], 1217/143327232],
[[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 199/3870720],
[[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 19/1105920],
[[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 6], [2, 5], [3, 1], [14, 1], [18, 1]], 23/1741824],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 4087/36864000],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 64483/537477120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1135/7962624],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 7/345600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [12, 2]], 7/1990656],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 6619/19906560],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 187/1161216],
[[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 10517/47775744],
[[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 19/387072],
[[[1, 6], [2, 5], [3, 2], [4, 2], [18, 1]], 1/221184],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 39209/398131200],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 31693/95551488],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 3059/10616832],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 109/2211840],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 2953/31850496],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 77573/637009920],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 7991/47775744],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1033/9953280],
[[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1529/9953280],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 12707/49766400],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 25/331776],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 29803/663552000],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 12611/55738368],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 103/552960],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 43/483840],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 13291/119439360],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 193/1244160],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 481523/3583180800],
[[[1, 6], [2, 5], [3, 2], [6, 3], [12, 1]], 1129/31850496],
[[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 2479/34836480],
[[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 11/241920],
[[[1, 6], [2, 5], [3, 2], [7, 1], [12, 1]], 991/46448640],
[[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 101/829440],
[[[1, 6], [2, 5], [3, 2], [8, 1], [14, 1]], 5/387072],
[[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 89/1244160],
[[[1, 6], [2, 5], [3, 2], [9, 1], [12, 1]], 131/11943936],
[[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 47/3870720],
[[[1, 6], [2, 5], [3, 2], [10, 1], [18, 1]], 1/622080],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 377953/716636160],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 74101/1045094400],
[[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 25211/179159040],
[[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 5/580608],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 527/7962624],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 4745/10616832],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 246079/1911029760],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1919/59719680],
[[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 2525/35831808],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 8771/71663616],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 266087/716636160],
[[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 13361/597196800],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 8807/149299200],
[[[1, 6], [2, 5], [3, 3], [5, 1], [12, 1]], 35/2654208],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 51103/313528320],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 357187/1612431360],
[[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 167/13934592],
[[[1, 6], [2, 5], [3, 3], [6, 1], [18, 1]], 1/93312],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 19219/71663616],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 10147/79626240],
[[[1, 6], [2, 5], [3, 3], [6, 2], [12, 1]], 9203/159252480],
[[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 6], [2, 5], [3, 3], [8, 1], [12, 1]], 31/7962624],
[[[1, 6], [2, 5], [3, 3], [10, 1], [12, 1]], 1/207360],
[[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 29293/1791590400],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 564463/2149908480],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 6023/358318080],
[[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 443/44789760],
[[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 7789/537477120],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 444017/4299816960],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 150131/2149908480],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 2291/59719680],
[[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 487/14929920],
[[[1, 6], [2, 5], [3, 4], [6, 1], [12, 1]], 11225/429981696],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 307/7962624],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 139/44789760],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 49/147456],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 817/2048000],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 7/172800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 2333/7372800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1337/2048000],
[[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 7/221184],
[[[1, 6], [2, 5], [4, 1], [6, 1], [11, 1]], 11/92160],
[[[1, 6], [2, 5], [4, 1], [6, 1], [22, 1]], 943/18247680],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 437/5308416],
[[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 7219/331776000],
[[[1, 6], [2, 5], [4, 1], [6, 2], [12, 2]], 1/663552],
[[[1, 6], [2, 5], [4, 1], [6, 3], [7, 1]], 1/82944],
[[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 34709/4180377600],
[[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 3751/107495424],
[[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 8753/1433272320],
[[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 5693/1791590400],
[[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 1421/537477120],
[[[1, 6], [2, 5], [4, 1], [7, 1], [9, 1]], 1787/29030400],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 1141/9216000],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 7/32768],
[[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 31/2764800],
[[[1, 6], [2, 5], [4, 1], [14, 1], [18, 1]], 1259/58060800],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1687/79626240],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 21709/61931520],
[[[1, 6], [2, 5], [4, 2], [5, 1], [9, 1]], 47/552960],
[[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 143/2580480],
[[[1, 6], [2, 5], [4, 2], [5, 1], [18, 1]], 23/1105920],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 721/5529600],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 16627/53084160],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 2293/55296000],
[[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 5/884736],
[[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 149/2580480],
[[[1, 6], [2, 5], [4, 2], [6, 2], [9, 1]], 7/1990656],
[[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 709/23224320],
[[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 15863/238878720],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 22769/637009920],
[[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1519/199065600],
[[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 1223/59719680],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 4553/12386304],
[[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 67/806400],
[[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 251/3870720],
[[[1, 6], [2, 5], [4, 2], [8, 1], [9, 1]], 2639/26542080],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 221/1376256],
[[[1, 6], [2, 5], [4, 2], [8, 1], [18, 1]], 641/8847360],
[[[1, 6], [2, 5], [4, 2], [9, 1], [10, 1]], 1/55296],
[[[1, 6], [2, 5], [4, 2], [9, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 33203/309657600],
[[[1, 6], [2, 5], [4, 2], [10, 1], [18, 1]], 103/2764800],
[[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 59/1548288],
[[[1, 6], [2, 5], [4, 2], [12, 1], [18, 1]], 5/663552],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 139/3317760],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 3811/8847360],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 8593/29491200],
[[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 13/122880],
[[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 353/2322432],
[[[1, 6], [2, 5], [4, 3], [6, 1], [9, 1]], 37/3981312],
[[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 4279/92897280],
[[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 7913/119439360],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 1033/7962624],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 9649/398131200],
[[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 173/3538944],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 2257/7372800],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 167/737280],
[[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 167/3317760],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 11167/53084160],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 2491/66355200],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 1025/21233664],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 239/1536000],
[[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 19/829440],
[[[1, 6], [2, 5], [5, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/53760],
[[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 89/2488320],
[[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 13381/597196800],
[[[1, 6], [2, 5], [5, 1], [6, 3], [12, 1]], 1/829440],
[[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 1273/9676800],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 73/645120],
[[[1, 6], [2, 5], [5, 1], [8, 1], [9, 1]], 1/102400],
[[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 1/35840],
[[[1, 6], [2, 5], [5, 1], [9, 1], [10, 1]], 31/1036800],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 31/645120],
[[[1, 6], [2, 5], [5, 1], [10, 1], [18, 1]], 193/8294400],
[[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 407/11059200],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 43/192000],
[[[1, 6], [2, 5], [6, 1], [7, 1], [9, 1]], 11/544320],
[[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 143/5529600],
[[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 6], [2, 5], [6, 1], [10, 2], [12, 1]], 121/36864000],
[[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 97/8709120],
[[[1, 6], [2, 5], [6, 2], [7, 1], [8, 1]], 25/1161216],
[[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 59/2322432],
[[[1, 6], [2, 5], [6, 2], [8, 1], [18, 1]], 331/5971968],
[[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1877/87091200],
[[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 6529/149299200],
[[[1, 6], [2, 5], [6, 2], [12, 1], [14, 1]], 41/5806080],
[[[1, 6], [2, 5], [6, 2], [12, 1], [18, 1]], 169/29859840],
[[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 25/5971968],
[[[1, 6], [2, 5], [6, 3], [8, 1], [12, 1]], 5/3981312],
[[[1, 6], [2, 5], [6, 3], [10, 1], [12, 1]], 601/199065600],
[[[1, 6], [2, 5], [7, 1], [8, 1], [10, 1]], 1/21504],
[[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 107/2580480],
[[[1, 6], [2, 5], [8, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 917/20736000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 2660579/21499084800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 421/3317760],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 5093/55296000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [12, 2]], 7/26542080],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 35057/106168320],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 1853/30965760],
[[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 35359/597196800],
[[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 120643/928972800],
[[[1, 6], [2, 7], [3, 1], [4, 2], [18, 1]], 809/79626240],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 22231/265420800],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 1577639/3822059520],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 106471/318504960],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 1343/8847360],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 2417/42467328],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 134861/637009920],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 1817/29859840],
[[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 13103/696729600],
[[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 2353/149299200],
[[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 1/96768],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 113/2457600],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 1121/26542080],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 68243/497664000],
[[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 14099/464486400],
[[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 11/497664],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 14093/104509440],
[[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 3167/29859840],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 78307/859963392],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 1037/6998400],
[[[1, 6], [2, 7], [3, 1], [6, 3], [12, 1]], 2263/119439360],
[[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 2029/92897280],
[[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 5/387072],
[[[1, 6], [2, 7], [3, 1], [7, 1], [12, 1]], 457/232243200],
[[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 643/39813120],
[[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 3337/92897280],
[[[1, 6], [2, 7], [3, 1], [8, 1], [18, 1]], 11/39813120],
[[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 23/2488320],
[[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 2897/58060800],
[[[1, 6], [2, 7], [3, 1], [10, 1], [18, 1]], 71/12441600],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 11784313/21499084800],
[[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 4513/174182400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 54311/1194393600],
[[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 179/4644864],
[[[1, 6], [2, 7], [3, 2], [4, 1], [18, 1]], 1/663552],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 11179/265420800],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 151697/199065600],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 2807/19906560],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 1223/16588800],
[[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 44803/1592524800],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 190019/637009920],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 28123/199065600],
[[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 2399/199065600],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 9871/199065600],
[[[1, 6], [2, 7], [3, 2], [5, 1], [12, 1]], 127/49766400],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1135/27869184],
[[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 605/11943936],
[[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 5009/77414400],
[[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 799/29859840],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 61609/286654464],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 41353/149299200],
[[[1, 6], [2, 7], [3, 2], [6, 2], [12, 1]], 307/19906560],
[[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 13/1658880],
[[[1, 6], [2, 7], [3, 2], [8, 1], [12, 1]], 25/31850496],
[[[1, 6], [2, 7], [3, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 497719/35831808000],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 1311331/3583180800],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 24611/955514880],
[[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 11359/796262400],
[[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 2759/477757440],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 140299/955514880],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 4601/111974400],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 62593/1433272320],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 4669/99532800],
[[[1, 6], [2, 7], [3, 3], [6, 1], [12, 1]], 341/39813120],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 786409/21499084800],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 197693/7166361600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 66887/1548288000],
[[[1, 6], [2, 7], [4, 1], [5, 1], [9, 1]], 4999/497664000],
[[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 3413/77414400],
[[[1, 6], [2, 7], [4, 1], [5, 1], [18, 1]], 191/33177600],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 2237/55296000],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 2327/13271040],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 28939/165888000],
[[[1, 6], [2, 7], [4, 1], [6, 1], [12, 2]], 11/26542080],
[[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 251/9289728],
[[[1, 6], [2, 7], [4, 1], [6, 2], [9, 1]], 5/3981312],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 11593/99532800],
[[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 2842757/21499084800],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 83387/1274019840],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 16282711/250822656000],
[[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 447157/21499084800],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1973/38707200],
[[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 79/3096576],
[[[1, 6], [2, 7], [4, 1], [7, 1], [12, 1]], 41/9289728],
[[[1, 6], [2, 7], [4, 1], [8, 1], [9, 1]], 449/39813120],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 233/1843200],
[[[1, 6], [2, 7], [4, 1], [8, 1], [18, 1]], 2387/159252480],
[[[1, 6], [2, 7], [4, 1], [9, 1], [10, 1]], 157/33177600],
[[[1, 6], [2, 7], [4, 1], [9, 1], [12, 1]], 7/19906560],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 4245917/27869184000],
[[[1, 6], [2, 7], [4, 1], [10, 1], [18, 1]], 86671/3483648000],
[[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 401/46448640],
[[[1, 6], [2, 7], [4, 1], [12, 1], [18, 1]], 11/19906560],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 187/2211840],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 3067/11059200],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 10933/27648000],
[[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 71/3317760],
[[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 6857/103219200],
[[[1, 6], [2, 7], [4, 2], [6, 1], [9, 1]], 179/15925248],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 397/1935360],
[[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 41627/298598400],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 377/1244160],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 143399/796262400],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 107953/1592524800],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 1279/2764800],
[[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 1181/26542080],
[[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 329/8294400],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 343/2949120],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 29947/63700992],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 21733/99532800],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 317/3932160],
[[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 227/11612160],
[[[1, 6], [2, 7], [5, 1], [6, 1], [9, 1]], 1/311040],
[[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 23/774144],
[[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 1/61440],
[[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 17/1658880],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 2453/24883200],
[[[1, 6], [2, 7], [5, 1], [6, 2], [12, 1]], 7/3317760],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 17557/199065600],
[[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 409/18579456],
[[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 6], [2, 7], [6, 1], [8, 1], [9, 1]], 7/39813120],
[[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 5311/92897280],
[[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 3647/119439360],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 54263/696729600],
[[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 6871/149299200],
[[[1, 6], [2, 7], [6, 1], [12, 1], [14, 1]], 59/12902400],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 959/22118400],
[[[1, 6], [2, 7], [6, 2], [8, 1], [12, 1]], 281/159252480],
[[[1, 6], [2, 7], [6, 2], [10, 1], [12, 1]], 821/99532800],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 38326549/171992678400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 571/212336640],
[[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 551/212336640],
[[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 31229/836075520],
[[[1, 6], [2, 9], [3, 1], [4, 1], [18, 1]], 2351/1672151040],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 5477/530841600],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 1086057697/3210529996800],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 1777313/26754416640],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 18779/248832000],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 5203/1698693120],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 4208753/22295347200],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 45961/2229534720],
[[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 37/44236800],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 285067/23887872000],
[[[1, 6], [2, 9], [3, 1], [5, 1], [12, 1]], 19/265420800],
[[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 13121/5573836800],
[[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 869/477757440],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 58781/1254113280],
[[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 86971/7524679680],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 26146681/481579499520],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 7203283/50164531200],
[[[1, 6], [2, 9], [3, 1], [6, 2], [12, 1]], 59/18579456],
[[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 10729/1393459200],
[[[1, 6], [2, 9], [3, 1], [8, 1], [12, 1]], 13/424673280],
[[[1, 6], [2, 9], [3, 1], [10, 1], [12, 1]], 1/44236800],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 6353/3185049600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 63741859/300987187200],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 6845/764411904],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 179/15482880],
[[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 13/29859840],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 140345/1337720832],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 14791/2388787200],
[[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 1125323/80263249920],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 20843689/501645312000],
[[[1, 6], [2, 9], [3, 2], [6, 1], [12, 1]], 1147/1911029760],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 217057/11466178560],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 13871/597196800],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 587/42467328],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 2127971/37158912000],
[[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 1/8294400],
[[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 383/92897280],
[[[1, 6], [2, 9], [4, 1], [6, 1], [9, 1]], 119/159252480],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 850039/8360755200],
[[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 34253/928972800],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 9300569/100329062400],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 80039329/501645312000],
[[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 49187/4180377600],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 1151621/13934592000],
[[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 11/26542080],
[[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 397/139345920],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 2137/58060800],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 1310891/6370099200],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 146651/589824000],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 10541/619315200],
[[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 228031/5971968000],
[[[1, 6], [2, 9], [5, 1], [6, 1], [12, 1]], 19/132710400],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 38119/1194393600],
[[[1, 6], [2, 9], [6, 1], [8, 1], [12, 1]], 761/4459069440],
[[[1, 6], [2, 9], [6, 1], [10, 1], [12, 1]], 45323/27869184000],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 2749/14863564800],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 16319867/275188285440],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 349997/160526499840],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 558623/62705664000],
[[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 16283/535088332800],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 21211/530841600],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 459187/668860416000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 22217509/6621718118400],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 18106787/1003290624000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [12, 1]], 5147/200658124800],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 2181890413/264868724736000],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 285307/100329062400],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 13984337/802632499200],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 52851671/1003290624000],
[[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 108524359/132434362368000],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 135158839/52973744947200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 17/192000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 6]], 1/2149908480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 25/169344],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 2]], 1/31104],
[[[1, 7], [2, 2], [3, 1], [4, 2], [11, 1]], 193/3041280],
[[[1, 7], [2, 2], [3, 1], [4, 2], [22, 1]], 1/368640],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 221/8294400],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 59/1769472],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 3]], 1/95551488],
[[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 5/290304],
[[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 91/19906560],
[[[1, 7], [2, 2], [3, 1], [4, 4], [18, 1]], 1/1327104],
[[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 19/13271040],
[[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 5/1769472],
[[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 1/21233664],
[[[1, 7], [2, 2], [3, 1], [5, 1], [11, 1]], 83/506880],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 3]], 1/8294400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1913/4838400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1099/4147200],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 101/576000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/15680],
[[[1, 7], [2, 2], [3, 1], [6, 1], [9, 2]], 1/559872],
[[[1, 7], [2, 2], [3, 1], [6, 2], [11, 1]], 77/39813120],
[[[1, 7], [2, 2], [3, 1], [6, 2], [22, 1]], 1/1824768],
[[[1, 7], [2, 2], [3, 1], [6, 4], [7, 1]], 1/17418240],
[[[1, 7], [2, 2], [3, 1], [6, 4], [18, 1]], 1/4478976],
[[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 1/86016],
[[[1, 7], [2, 2], [3, 1], [8, 1], [11, 1]], 19/405504],
[[[1, 7], [2, 2], [3, 1], [8, 2], [9, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 1], [10, 1], [11, 1]], 1/190080],
[[[1, 7], [2, 2], [3, 1], [11, 1], [12, 1]], 23/8110080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 5]], 7/477757440],
[[[1, 7], [2, 2], [3, 2], [4, 1], [11, 1]], 1/11264],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 491/8294400],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 4]], 1/11943936],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 7/331776],
[[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 1/829440],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 3]], 23/238878720],
[[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 133/4976640],
[[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 36233/1074954240],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 151/15925248],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 197/318504960],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 79/3981312],
[[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 1/1105920],
[[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 7/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 5/7962624],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 4]], 1/7464960],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/184320],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 12353/99532800],
[[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 151/2764800],
[[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 151/1728000],
[[[1, 7], [2, 2], [3, 2], [5, 2], [12, 1]], 47/1105920],
[[[1, 7], [2, 2], [3, 2], [6, 1], [11, 1]], 131/1368576],
[[[1, 7], [2, 2], [3, 2], [6, 1], [22, 1]], 107/48660480],
[[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1/442368],
[[[1, 7], [2, 2], [3, 2], [6, 3], [7, 1]], 1/165888],
[[[1, 7], [2, 2], [3, 2], [6, 3], [9, 1]], 1/4478976],
[[[1, 7], [2, 2], [3, 2], [6, 3], [18, 1]], 49/39813120],
[[[1, 7], [2, 2], [3, 2], [6, 4], [8, 1]], 13/14929920],
[[[1, 7], [2, 2], [3, 2], [6, 4], [12, 1]], 1/3981312],
[[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 167/967680],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1327/22118400],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 4]], 481/238878720],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 251/10616832],
[[[1, 7], [2, 2], [3, 3], [4, 1], [12, 2]], 1/466560],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 3]], 167/39813120],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 39157/1672151040],
[[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 7/116640],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 22957/1567641600],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1093/358318080],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1393/127401984],
[[[1, 7], [2, 2], [3, 3], [4, 3], [10, 1]], 1/1866240],
[[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 739/179159040],
[[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 413/143327232],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 3]], 169/9953280],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 39611/278691840],
[[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 127/746496],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 2213/14929920],
[[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 1/746496],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 7057/89579520],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 192041/3224862720],
[[[1, 7], [2, 2], [3, 3], [6, 2], [18, 1]], 1/746496],
[[[1, 7], [2, 2], [3, 3], [6, 3], [8, 1]], 511/89579520],
[[[1, 7], [2, 2], [3, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 7], [2, 2], [3, 3], [6, 3], [12, 1]], 1/995328],
[[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 899/19906560],
[[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 121/43545600],
[[[1, 7], [2, 2], [3, 3], [7, 1], [12, 1]], 95/2322432],
[[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 179/2985984],
[[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/174960],
[[[1, 7], [2, 2], [3, 3], [9, 1], [12, 1]], 161/6635520],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 3]], 16619/1433272320],
[[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 1901/52254720],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 2455/35831808],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 13559/1194393600],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 2431/214990848],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 313/26542080],
[[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/921600],
[[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 1457/89579520],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 11723/2149908480],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 9263/134369280],
[[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 187/19906560],
[[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1531/149299200],
[[[1, 7], [2, 2], [3, 4], [5, 1], [12, 1]], 49/2488320],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 911/10450944],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1169/10077696],
[[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 691/268738560],
[[[1, 7], [2, 2], [3, 4], [6, 2], [10, 1]], 1/5598720],
[[[1, 7], [2, 2], [3, 4], [6, 2], [12, 1]], 1787/107495424],
[[[1, 7], [2, 2], [3, 4], [8, 1], [12, 1]], 1/497664],
[[[1, 7], [2, 2], [3, 4], [10, 1], [12, 1]], 1/933120],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1357/119439360],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 4805/859963392],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 295/35831808],
[[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 179/167961600],
[[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 75041/6449725440],
[[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 11/2211840],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 107/3317760],
[[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 2743/403107840],
[[[1, 7], [2, 2], [3, 5], [6, 1], [12, 1]], 1111/53747712],
[[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 3659/1289945088],
[[[1, 7], [2, 2], [4, 1], [5, 1], [11, 1]], 23/112640],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 373/1075200],
[[[1, 7], [2, 2], [4, 1], [5, 2], [9, 1]], 1/20480],
[[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 13/384000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 11/282240],
[[[1, 7], [2, 2], [4, 1], [6, 1], [18, 2]], 1/4976640],
[[[1, 7], [2, 2], [4, 1], [6, 2], [22, 1]], 1/12165120],
[[[1, 7], [2, 2], [4, 1], [6, 3], [8, 2]], 1/31850496],
[[[1, 7], [2, 2], [4, 1], [6, 3], [10, 2]], 1/1990656000],
[[[1, 7], [2, 2], [4, 1], [6, 4], [14, 1]], 1/836075520],
[[[1, 7], [2, 2], [4, 1], [6, 4], [18, 1]], 13/358318080],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 31/860160],
[[[1, 7], [2, 2], [4, 1], [8, 1], [11, 1]], 259/8110080],
[[[1, 7], [2, 2], [4, 1], [8, 1], [22, 1]], 13/8110080],
[[[1, 7], [2, 2], [4, 1], [8, 2], [9, 1]], 1/442368],
[[[1, 7], [2, 2], [4, 1], [8, 2], [18, 1]], 1/442368],
[[[1, 7], [2, 2], [4, 1], [10, 1], [11, 1]], 37/45619200],
[[[1, 7], [2, 2], [4, 1], [10, 1], [22, 1]], 1/3379200],
[[[1, 7], [2, 2], [4, 1], [10, 2], [14, 1]], 1/10752000],
[[[1, 7], [2, 2], [4, 1], [10, 2], [18, 1]], 1/27648000],
[[[1, 7], [2, 2], [4, 1], [11, 1], [12, 1]], 37/27371520],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/24576],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 7/2764800],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 41/614400],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 51/1024000],
[[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 11/460800],
[[[1, 7], [2, 2], [4, 2], [6, 1], [11, 1]], 49/2433024],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 1/884736],
[[[1, 7], [2, 2], [4, 2], [6, 3], [14, 1]], 1/557383680],
[[[1, 7], [2, 2], [4, 2], [6, 4], [8, 1]], 1/79626240],
[[[1, 7], [2, 2], [4, 2], [6, 4], [10, 1]], 1/1194393600],
[[[1, 7], [2, 2], [4, 2], [7, 1], [9, 1]], 373/23224320],
[[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1/245760],
[[[1, 7], [2, 2], [4, 2], [14, 1], [18, 1]], 1/7741440],
[[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 49577/1393459200],
[[[1, 7], [2, 2], [4, 3], [5, 1], [9, 1]], 67/21772800],
[[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 1/307200],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 7/1769472],
[[[1, 7], [2, 2], [4, 3], [6, 3], [8, 1]], 73/1911029760],
[[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 143/5160960],
[[[1, 7], [2, 2], [4, 3], [7, 1], [10, 1]], 11/6451200],
[[[1, 7], [2, 2], [4, 3], [7, 1], [12, 1]], 11/3870720],
[[[1, 7], [2, 2], [4, 3], [8, 1], [9, 1]], 19/5308416],
[[[1, 7], [2, 2], [4, 3], [8, 1], [18, 1]], 73/26542080],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 1/98304],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 41/14745600],
[[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 1/552960],
[[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 31/15482880],
[[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 1/1474560],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 7/884736],
[[[1, 7], [2, 2], [5, 1], [6, 1], [11, 1]], 1/42240],
[[[1, 7], [2, 2], [5, 1], [6, 4], [10, 1]], 1/59719680],
[[[1, 7], [2, 2], [5, 1], [7, 1], [9, 1]], 47/774144],
[[[1, 7], [2, 2], [5, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/57600],
[[[1, 7], [2, 2], [5, 2], [6, 1], [9, 1]], 1/1036800],
[[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 3/51200],
[[[1, 7], [2, 2], [6, 1], [7, 1], [8, 2]], 1/645120],
[[[1, 7], [2, 2], [6, 1], [8, 1], [11, 1]], 37/54743040],
[[[1, 7], [2, 2], [6, 1], [12, 1], [22, 1]], 1/24330240],
[[[1, 7], [2, 2], [6, 2], [7, 1], [9, 1]], 1/2177280],
[[[1, 7], [2, 2], [6, 3], [10, 1], [14, 1]], 1/4180377600],
[[[1, 7], [2, 2], [6, 3], [12, 1], [18, 1]], 1/59719680],
[[[1, 7], [2, 2], [7, 1], [8, 1], [9, 1]], 13/1935360],
[[[1, 7], [2, 2], [7, 1], [9, 1], [10, 1]], 1/604800],
[[[1, 7], [2, 2], [10, 1], [14, 1], [18, 1]], 1/58060800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 5]], 89/268738560],
[[[1, 7], [2, 4], [3, 1], [4, 1], [11, 1]], 101/608256],
[[[1, 7], [2, 4], [3, 1], [4, 1], [22, 1]], 17/1013760],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 3281/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 77/79626240],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1123/3538944],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 181/18432000],
[[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 17/6635520],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 10591/716636160],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 283/1720320],
[[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 5861/59719680],
[[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 37/3440640],
[[[1, 7], [2, 4], [3, 1], [4, 3], [18, 1]], 59/7962624],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 32813/530841600],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 41371/2548039680],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 15829/106168320],
[[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 79/6635520],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 28337/1274019840],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 239/17694720],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 23/74649600],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 7/221184],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 49/691200],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 5083/62208000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 233/1658880],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 4249/13824000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [12, 1]], 7/432000],
[[[1, 7], [2, 4], [3, 1], [6, 1], [11, 1]], 163/1990656],
[[[1, 7], [2, 4], [3, 1], [6, 1], [22, 1]], 157/18247680],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 31/3317760],
[[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 19/5529600],
[[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 131/17418240],
[[[1, 7], [2, 4], [3, 1], [6, 3], [9, 1]], 1/311040],
[[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 127/41803776],
[[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 1999/179159040],
[[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 139/71663616],
[[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 1871/3583180800],
[[[1, 7], [2, 4], [3, 1], [6, 4], [12, 1]], 151/238878720],
[[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 2687/34836480],
[[[1, 7], [2, 4], [3, 1], [8, 1], [10, 2]], 17/11059200],
[[[1, 7], [2, 4], [3, 1], [14, 1], [18, 1]], 1/580608],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 5371/22118400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1501/79626240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1835/15925248],
[[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/552960],
[[[1, 7], [2, 4], [3, 2], [4, 1], [12, 2]], 13/4976640],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 50777/477757440],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 1289/5160960],
[[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 63259/238878720],
[[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/96768],
[[[1, 7], [2, 4], [3, 2], [4, 2], [18, 1]], 1/663552],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 8831/66355200],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 104147/716636160],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 1277/5308416],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 7/276480],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 4817/79626240],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 49817/637009920],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 31123/398131200],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 79979/348364800],
[[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 11851/49766400],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 7207/16588800],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 25/663552],
[[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 77/13824000],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 178681/836075520],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 1439/11943936],
[[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 1277/92897280],
[[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 661/29859840],
[[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 12649/358318080],
[[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 7973/398131200],
[[[1, 7], [2, 4], [3, 2], [6, 3], [12, 1]], 3077/477757440],
[[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 929/8709120],
[[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 139/3628800],
[[[1, 7], [2, 4], [3, 2], [7, 1], [12, 1]], 449/15482880],
[[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 1007/8398080],
[[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 11/230400],
[[[1, 7], [2, 4], [3, 2], [9, 1], [12, 1]], 547/59719680],
[[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 1/1290240],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 521911/2149908480],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 26429/167215104],
[[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 7811/35831808],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 3347/24883200],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 49807/179159040],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 981221/5733089280],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 23/1166400],
[[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 29431/358318080],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 468923/4299816960],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1618481/3583180800],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 72101/1567641600],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 11881/165888000],
[[[1, 7], [2, 4], [3, 3], [5, 1], [12, 1]], 37/1474560],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 86053/313528320],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 425197/1612431360],
[[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/516096],
[[[1, 7], [2, 4], [3, 3], [6, 1], [18, 1]], 1/746496],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 197027/1074954240],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 12991/398131200],
[[[1, 7], [2, 4], [3, 3], [6, 2], [12, 1]], 17071/477757440],
[[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 1/155520],
[[[1, 7], [2, 4], [3, 3], [8, 1], [12, 1]], 139/29859840],
[[[1, 7], [2, 4], [3, 3], [10, 1], [12, 1]], 1/207360],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 32173/597196800],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 249727/1074954240],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 3101/79626240],
[[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 2297/223948800],
[[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 8173/268738560],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 456527/4299816960],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1549849/10749542400],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 119669/2149908480],
[[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 113/6998400],
[[[1, 7], [2, 4], [3, 4], [6, 1], [12, 1]], 81547/2149908480],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 87977/1289945088],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 65/294912],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 16391/165888000],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 19/691200],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 2701/7372800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 14933/30720000],
[[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 223/6912000],
[[[1, 7], [2, 4], [4, 1], [6, 1], [11, 1]], 3679/54743040],
[[[1, 7], [2, 4], [4, 1], [6, 1], [22, 1]], 1/152064],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 1/73728],
[[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 199/331776000],
[[[1, 7], [2, 4], [4, 1], [6, 3], [7, 1]], 11/2903040],
[[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 101/139345920],
[[[1, 7], [2, 4], [4, 1], [6, 3], [18, 1]], 707/179159040],
[[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 11/17694720],
[[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 241/1791590400],
[[[1, 7], [2, 4], [4, 1], [6, 4], [12, 1]], 1/7464960],
[[[1, 7], [2, 4], [4, 1], [7, 1], [9, 1]], 151/2322432],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 583/36864000],
[[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 11/245760],
[[[1, 7], [2, 4], [4, 1], [10, 2], [12, 1]], 1/5529600],
[[[1, 7], [2, 4], [4, 1], [14, 1], [18, 1]], 1/483840],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 199/79626240],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 134123/309657600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [9, 1]], 103/1382400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 19/2580480],
[[[1, 7], [2, 4], [4, 2], [5, 1], [18, 1]], 7/1105920],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 961/7372800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 14689/159252480],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 7/3072000],
[[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 1/884736],
[[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 523/23224320],
[[[1, 7], [2, 4], [4, 2], [6, 2], [9, 1]], 1/1990656],
[[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 1/1451520],
[[[1, 7], [2, 4], [4, 2], [6, 2], [18, 1]], 1277/238878720],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 391/70778880],
[[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 461/1194393600],
[[[1, 7], [2, 4], [4, 2], [6, 3], [12, 1]], 149/238878720],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 18881/61931520],
[[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 137/3225600],
[[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 53/1290240],
[[[1, 7], [2, 4], [4, 2], [8, 1], [9, 1]], 1607/26542080],
[[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 37/2293760],
[[[1, 7], [2, 4], [4, 2], [8, 1], [18, 1]], 23/983040],
[[[1, 7], [2, 4], [4, 2], [9, 1], [10, 1]], 1/259200],
[[[1, 7], [2, 4], [4, 2], [9, 1], [12, 1]], 17/4976640],
[[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 371/44236800],
[[[1, 7], [2, 4], [4, 2], [10, 1], [18, 1]], 77/16588800],
[[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 1/221184],
[[[1, 7], [2, 4], [4, 2], [12, 1], [18, 1]], 1/663552],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 101/6635520],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 5779/22118400],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 104153/796262400],
[[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 31/552960],
[[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 9031/92897280],
[[[1, 7], [2, 4], [4, 3], [6, 1], [9, 1]], 1/294912],
[[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 409/185794560],
[[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 179/26542080],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 463/19906560],
[[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 1/2211840],
[[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 11/2211840],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 1421/16588800],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 3281/39813120],
[[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 1/73728],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1333/66355200],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 5279/106168320],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 49/16588800],
[[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 79/7077888],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 1/153600],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 3/102400],
[[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 67/4147200],
[[[1, 7], [2, 4], [5, 1], [6, 2], [9, 1]], 1/518400],
[[[1, 7], [2, 4], [5, 1], [6, 2], [18, 1]], 1/2488320],
[[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 587/132710400],
[[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 14773/87091200],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 253/2688000],
[[[1, 7], [2, 4], [5, 1], [8, 1], [9, 1]], 11/1360800],
[[[1, 7], [2, 4], [5, 1], [9, 1], [10, 1]], 113/6912000],
[[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/537600],
[[[1, 7], [2, 4], [5, 1], [10, 1], [18, 1]], 41/5529600],
[[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 403/13824000],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 119/1152000],
[[[1, 7], [2, 4], [6, 1], [7, 1], [9, 1]], 23/2177280],
[[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 7/3686400],
[[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 7], [2, 4], [6, 1], [10, 2], [12, 1]], 1/6912000],
[[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 31/34836480],
[[[1, 7], [2, 4], [6, 2], [7, 1], [8, 1]], 11/1161216],
[[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 1/387072],
[[[1, 7], [2, 4], [6, 2], [8, 1], [18, 1]], 187/29859840],
[[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 317/348364800],
[[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 337/149299200],
[[[1, 7], [2, 4], [6, 2], [12, 1], [14, 1]], 31/46448640],
[[[1, 7], [2, 4], [6, 2], [12, 1], [18, 1]], 47/59719680],
[[[1, 7], [2, 4], [6, 3], [8, 1], [10, 1]], 37/119439360],
[[[1, 7], [2, 4], [6, 3], [8, 1], [12, 1]], 1/7962624],
[[[1, 7], [2, 4], [6, 3], [10, 1], [12, 1]], 31/199065600],
[[[1, 7], [2, 4], [7, 1], [8, 1], [10, 1]], 11/537600],
[[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 137/38707200],
[[[1, 7], [2, 4], [8, 1], [10, 1], [18, 1]], 1/1658880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 28939/165888000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 786409/21499084800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 2327/13271040],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 2237/55296000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [12, 2]], 11/26542080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 140299/955514880],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 397/1935360],
[[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 41627/298598400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 6857/103219200],
[[[1, 7], [2, 6], [3, 1], [4, 2], [18, 1]], 179/15925248],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 21733/99532800],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 190019/637009920],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 29947/63700992],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 343/2949120],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 317/3932160],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 134861/637009920],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 4669/99532800],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 54263/696729600],
[[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 6871/149299200],
[[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/161280],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 68243/497664000],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 1121/26542080],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 113/2457600],
[[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 5009/77414400],
[[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 799/29859840],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1135/27869184],
[[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 605/11943936],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 62593/1433272320],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 4601/111974400],
[[[1, 7], [2, 6], [3, 1], [6, 3], [12, 1]], 341/39813120],
[[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 5311/92897280],
[[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 23/774144],
[[[1, 7], [2, 6], [3, 1], [7, 1], [12, 1]], 59/12902400],
[[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 3647/119439360],
[[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 409/18579456],
[[[1, 7], [2, 6], [3, 1], [8, 1], [18, 1]], 7/39813120],
[[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 1/61440],
[[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 227/11612160],
[[[1, 7], [2, 6], [3, 1], [10, 1], [18, 1]], 1/311040],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 1311331/3583180800],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 11593/99532800],
[[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 2842757/21499084800],
[[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 251/9289728],
[[[1, 7], [2, 6], [3, 2], [4, 1], [18, 1]], 5/3981312],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 143399/796262400],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 151697/199065600],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 377/1244160],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 187/2211840],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 107953/1592524800],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 1577639/3822059520],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 41353/149299200],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 959/22118400],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 2453/24883200],
[[[1, 7], [2, 6], [3, 2], [5, 1], [12, 1]], 821/99532800],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 14093/104509440],
[[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 3167/29859840],
[[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 14099/464486400],
[[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 11/497664],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 61609/286654464],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 28123/199065600],
[[[1, 7], [2, 6], [3, 2], [6, 2], [12, 1]], 307/19906560],
[[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 17/1658880],
[[[1, 7], [2, 6], [3, 2], [8, 1], [12, 1]], 281/159252480],
[[[1, 7], [2, 6], [3, 2], [10, 1], [12, 1]], 7/3317760],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 16282711/250822656000],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 11784313/21499084800],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 83387/1274019840],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 197693/7166361600],
[[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 447157/21499084800],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 35057/106168320],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 1037/6998400],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 78307/859963392],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 1817/29859840],
[[[1, 7], [2, 6], [3, 3], [6, 1], [12, 1]], 2263/119439360],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 2660579/21499084800],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 11359/796262400],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 4245917/27869184000],
[[[1, 7], [2, 6], [4, 1], [5, 1], [9, 1]], 86671/3483648000],
[[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 79/3096576],
[[[1, 7], [2, 6], [4, 1], [5, 1], [18, 1]], 157/33177600],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 5093/55296000],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 421/3317760],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 917/20736000],
[[[1, 7], [2, 6], [4, 1], [6, 1], [12, 2]], 7/26542080],
[[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 179/4644864],
[[[1, 7], [2, 6], [4, 1], [6, 2], [9, 1]], 1/663552],
[[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 4513/174182400],
[[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 54311/1194393600],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 24611/955514880],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 497719/35831808000],
[[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 2759/477757440],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 233/1843200],
[[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 3413/77414400],
[[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 401/46448640],
[[[1, 7], [2, 6], [4, 1], [8, 1], [9, 1]], 2387/159252480],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1973/38707200],
[[[1, 7], [2, 6], [4, 1], [8, 1], [18, 1]], 449/39813120],
[[[1, 7], [2, 6], [4, 1], [9, 1], [10, 1]], 191/33177600],
[[[1, 7], [2, 6], [4, 1], [9, 1], [12, 1]], 11/19906560],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 66887/1548288000],
[[[1, 7], [2, 6], [4, 1], [10, 1], [18, 1]], 4999/497664000],
[[[1, 7], [2, 6], [4, 1], [12, 1], [14, 1]], 41/9289728],
[[[1, 7], [2, 6], [4, 1], [12, 1], [18, 1]], 7/19906560],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 1223/16588800],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 1279/2764800],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 10933/27648000],
[[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 329/8294400],
[[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 120643/928972800],
[[[1, 7], [2, 6], [4, 2], [6, 1], [9, 1]], 809/79626240],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 1853/30965760],
[[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 35359/597196800],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 2807/19906560],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 11179/265420800],
[[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 44803/1592524800],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 3067/11059200],
[[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 1181/26542080],
[[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 71/3317760],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 1343/8847360],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 106471/318504960],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 22231/265420800],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 2417/42467328],
[[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 2897/58060800],
[[[1, 7], [2, 6], [5, 1], [6, 1], [9, 1]], 71/12441600],
[[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 5/387072],
[[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 23/2488320],
[[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 13/1658880],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 9871/199065600],
[[[1, 7], [2, 6], [5, 1], [6, 2], [12, 1]], 1/1105920],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 17557/199065600],
[[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 3337/92897280],
[[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 1/96768],
[[[1, 7], [2, 6], [6, 1], [8, 1], [9, 1]], 11/39813120],
[[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 2029/92897280],
[[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 643/39813120],
[[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 13103/696729600],
[[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 2353/149299200],
[[[1, 7], [2, 6], [6, 1], [12, 1], [14, 1]], 457/232243200],
[[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 2399/199065600],
[[[1, 7], [2, 6], [6, 2], [8, 1], [12, 1]], 25/31850496],
[[[1, 7], [2, 6], [6, 2], [10, 1], [12, 1]], 127/49766400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 15948389/85996339200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 7367/348364800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 4379/298598400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 1109/25804800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [18, 1]], 13/4423680],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 59959/884736000],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 6815117/16986931200],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 847873/4777574400],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 129679/1161216000],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 118759/8493465600],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 791147/2388787200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 795341/15925248000],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 3239/398131200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 10099/298598400],
[[[1, 7], [2, 8], [3, 1], [5, 1], [12, 1]], 1501/2654208000],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 11723/696729600],
[[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 691/74649600],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 16637/398131200],
[[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 55723/3583180800],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 456863/6688604160],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 1779383/16721510400],
[[[1, 7], [2, 8], [3, 1], [6, 2], [12, 1]], 6271/1592524800],
[[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 29/2457600],
[[[1, 7], [2, 8], [3, 1], [8, 1], [12, 1]], 7/53084160],
[[[1, 7], [2, 8], [3, 1], [10, 1], [12, 1]], 7/44236800],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 278659/11943936000],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 2037461/5733089280],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 39653/955514880],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 1877/66355200],
[[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 1027/265420800],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 2595151/9555148800],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 96911/2388787200],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 14437/318504960],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 1737341/27869184000],
[[[1, 7], [2, 8], [3, 2], [6, 1], [12, 1]], 1873/796262400],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 3559451/42998169600],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 467/13271040],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 69527/1327104000],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 1673197/15925248000],
[[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 47/33177600],
[[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 1279/58060800],
[[[1, 7], [2, 8], [4, 1], [6, 1], [9, 1]], 11/4423680],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 329177/4777574400],
[[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 3370169/100329062400],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 265891/3185049600],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 7362589/83607552000],
[[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 11317/1114767360],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 1682071/18579456000],
[[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 1/983040],
[[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 7/2211840],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 3679/41472000],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 164447/637009920],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 8821067/47775744000],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 85159/3715891200],
[[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 577/66355200],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 116987/2388787200],
[[[1, 7], [2, 8], [5, 1], [6, 1], [12, 1]], 11/44236800],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 629/26542080],
[[[1, 7], [2, 8], [6, 1], [8, 1], [12, 1]], 7/31850496],
[[[1, 7], [2, 8], [6, 1], [10, 1], [12, 1]], 19483/13934592000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 197/78643200],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 145208789/1375941427200],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 538441/53508833280],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 156439/7962624000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 17927/76441190400],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 2649/26214400],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 2668889/668860416000],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 536641/57330892800],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 5776649/200658124800],
[[[1, 7], [2, 10], [3, 1], [6, 1], [12, 1]], 1333/13377208320],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 86913881/2675441664000],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 8563/928972800],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 2955653/89181388800],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 63439279/1003290624000],
[[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 2239403/1337720832000],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 1177826579/132434362368000],
[[[1, 7], [3, 1], [4, 1], [8, 1], [11, 1]], 1/304128],
[[[1, 7], [3, 1], [4, 2], [5, 2], [6, 2]], 1/22118400],
[[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 1/3686400],
[[[1, 7], [3, 1], [4, 2], [6, 2], [12, 2]], 1/4423680],
[[[1, 7], [3, 1], [4, 2], [6, 4], [12, 1]], 1/238878720],
[[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 47/5806080],
[[[1, 7], [3, 1], [4, 3], [7, 1], [8, 1]], 1/516096],
[[[1, 7], [3, 1], [4, 3], [8, 1], [9, 1]], 1/663552],
[[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 137/1451520],
[[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 13/1382400],
[[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 137/11612160],
[[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/103680],
[[[1, 7], [3, 2], [4, 2], [6, 2], [7, 1]], 1/6635520],
[[[1, 7], [3, 2], [4, 2], [6, 2], [9, 1]], 1/11943936],
[[[1, 7], [3, 2], [4, 2], [7, 1], [12, 1]], 1/1105920],
[[[1, 7], [3, 2], [4, 2], [9, 1], [12, 1]], 1/1990656],
[[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 1/1105920],
[[[1, 7], [3, 2], [5, 1], [6, 2], [7, 1]], 41/11612160],
[[[1, 7], [3, 2], [5, 1], [6, 2], [9, 1]], 1/622080],
[[[1, 7], [3, 2], [5, 1], [7, 1], [12, 1]], 41/1935360],
[[[1, 7], [3, 2], [5, 1], [9, 1], [12, 1]], 1/103680],
[[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 121/69672960],
[[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/279936],
[[[1, 7], [3, 3], [4, 2], [5, 1], [6, 2]], 1/6635520],
[[[1, 7], [3, 3], [4, 2], [5, 1], [12, 1]], 1/1105920],
[[[1, 7], [3, 3], [4, 2], [6, 2], [12, 1]], 161/26542080],
[[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 37/29859840],
[[[1, 7], [3, 4], [4, 1], [6, 2], [8, 1]], 1/8957952],
[[[1, 7], [3, 4], [4, 1], [8, 1], [12, 1]], 1/1492992],
[[[1, 7], [4, 1], [7, 1], [8, 1], [9, 1]], 1/967680],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/38400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 11/338688],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 2]], 1/331776],
[[[1, 8], [2, 1], [3, 1], [4, 2], [11, 1]], 23/4976640],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 107/16588800],
[[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 31/30965760],
[[[1, 8], [2, 1], [3, 1], [4, 4], [9, 1]], 5/7962624],
[[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 1/3538944],
[[[1, 8], [2, 1], [3, 1], [5, 1], [11, 1]], 13/253440],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 443/2419200],
[[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 211/2073600],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 3/64000],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/282240],
[[[1, 8], [2, 1], [3, 1], [6, 2], [11, 1]], 43/1021870080],
[[[1, 8], [2, 1], [3, 1], [8, 1], [11, 1]], 5/1216512],
[[[1, 8], [2, 1], [3, 1], [11, 1], [12, 1]], 43/170311680],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 5]], 1/1433272320],
[[[1, 8], [2, 1], [3, 2], [4, 1], [11, 1]], 43/2433024],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 427/33177600],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 5/2654208],
[[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 359/34836480],
[[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 1285/214990848],
[[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 7/8847360],
[[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 1/1769472],
[[[1, 8], [2, 1], [3, 2], [5, 2], [6, 2]], 43/16588800],
[[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 49/2764800],
[[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 7/345600],
[[[1, 8], [2, 1], [3, 2], [5, 2], [12, 1]], 43/2764800],
[[[1, 8], [2, 1], [3, 2], [6, 1], [11, 1]], 19/1824768],
[[[1, 8], [2, 1], [3, 2], [6, 3], [7, 1]], 1/2177280],
[[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 971/19595520],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 10217/398131200],
[[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1/995328],
[[[1, 8], [2, 1], [3, 3], [4, 1], [12, 2]], 1/7464960],
[[[1, 8], [2, 1], [3, 3], [4, 2], [6, 3]], 1/19906560],
[[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 3763/557383680],
[[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 739/89579520],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 71453/12541132800],
[[[1, 8], [2, 1], [3, 3], [4, 3], [6, 2]], 41/716636160],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 331/127401984],
[[[1, 8], [2, 1], [3, 3], [4, 3], [10, 1]], 1/7464960],
[[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 203/358318080],
[[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/3538944],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 3]], 17/9953280],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 2317499/29262643200],
[[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 97/1244160],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 11/207360],
[[[1, 8], [2, 1], [3, 3], [6, 2], [7, 1]], 47/20901888],
[[[1, 8], [2, 1], [3, 3], [6, 2], [9, 1]], 761/836075520],
[[[1, 8], [2, 1], [3, 3], [6, 3], [8, 1]], 23/44789760],
[[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 2201/139345920],
[[[1, 8], [2, 1], [3, 3], [7, 1], [12, 1]], 47/3483648],
[[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 97/8957952],
[[[1, 8], [2, 1], [3, 3], [9, 1], [12, 1]], 761/139345920],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 3]], 4507/4299816960],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 2117/278691840],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1037/71663616],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 32941/8360755200],
[[[1, 8], [2, 1], [3, 4], [4, 2], [6, 2]], 49/537477120],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 121/119439360],
[[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 49/89579520],
[[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 1/3981312],
[[[1, 8], [2, 1], [3, 4], [5, 1], [6, 2]], 19/9953280],
[[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 349/59719680],
[[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 97/59719680],
[[[1, 8], [2, 1], [3, 4], [5, 1], [12, 1]], 19/1658880],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 47/2449440],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 65/3359232],
[[[1, 8], [2, 1], [3, 4], [6, 2], [8, 1]], 1/17915904],
[[[1, 8], [2, 1], [3, 4], [8, 1], [12, 1]], 1/2985984],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 377/119439360],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 2]], 163/286654464],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 2201/1074954240],
[[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 101/671846400],
[[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 23621/6449725440],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 377/358318080],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1049/89579520],
[[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 101/806215680],
[[[1, 8], [2, 1], [3, 5], [6, 1], [12, 1]], 83/17915904],
[[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 5/30233088],
[[[1, 8], [2, 1], [4, 1], [5, 1], [11, 1]], 7/225280],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 157/2150400],
[[[1, 8], [2, 1], [4, 1], [5, 2], [9, 1]], 41/5529600],
[[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/128000],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/282240],
[[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 1/860160],
[[[1, 8], [2, 1], [4, 1], [8, 1], [11, 1]], 37/72990720],
[[[1, 8], [2, 1], [4, 1], [10, 1], [11, 1]], 1/45619200],
[[[1, 8], [2, 1], [4, 1], [11, 1], [12, 1]], 1/27371520],
[[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/245760],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 1/102400],
[[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/204800],
[[[1, 8], [2, 1], [4, 2], [7, 1], [9, 1]], 17/23224320],
[[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 10301/1393459200],
[[[1, 8], [2, 1], [4, 3], [5, 1], [9, 1]], 53/174182400],
[[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/1843200],
[[[1, 8], [2, 1], [4, 3], [6, 3], [8, 1]], 1/637009920],
[[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 31/10321920],
[[[1, 8], [2, 1], [4, 3], [7, 1], [10, 1]], 1/6451200],
[[[1, 8], [2, 1], [4, 3], [7, 1], [12, 1]], 1/3870720],
[[[1, 8], [2, 1], [4, 3], [8, 1], [9, 1]], 1/5308416],
[[[1, 8], [2, 1], [4, 3], [8, 1], [18, 1]], 1/8847360],
[[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 1/1474560],
[[[1, 8], [2, 1], [4, 4], [5, 1], [10, 1]], 1/5898240],
[[[1, 8], [2, 1], [5, 1], [7, 1], [9, 1]], 5819/406425600],
[[[1, 8], [2, 1], [6, 1], [8, 1], [11, 1]], 1/54743040],
[[[1, 8], [2, 1], [7, 1], [8, 1], [9, 1]], 1/1935360],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 5]], 37/2149908480],
[[[1, 8], [2, 3], [3, 1], [4, 1], [11, 1]], 191/2280960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [22, 1]], 7/6082560],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1783/9216000],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 4]], 11/477757440],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1031/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 11/36864000],
[[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 29/92897280],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 19/286654464],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 24655/334430208],
[[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 156077/5016453120],
[[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 11/10321920],
[[[1, 8], [2, 3], [3, 1], [4, 3], [18, 1]], 11/7962624],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 58007/2388787200],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 12569/8918138880],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 34829/955514880],
[[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 37/22118400],
[[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 3161/1486356480],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 37/15925248],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 4]], 11/261273600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 1/81920],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 1/138240],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 90907/3483648000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 3509/33177600],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 2083/13824000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [12, 1]], 2209/193536000],
[[[1, 8], [2, 3], [3, 1], [6, 1], [11, 1]], 30377/1149603840],
[[[1, 8], [2, 3], [3, 1], [6, 1], [22, 1]], 17/36495360],
[[[1, 8], [2, 3], [3, 1], [6, 2], [8, 2]], 1/3317760],
[[[1, 8], [2, 3], [3, 1], [6, 2], [10, 2]], 1/16588800],
[[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 41/69672960],
[[[1, 8], [2, 3], [3, 1], [6, 3], [9, 1]], 1/11197440],
[[[1, 8], [2, 3], [3, 1], [6, 3], [14, 1]], 1/6967296],
[[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 19/35831808],
[[[1, 8], [2, 3], [3, 1], [6, 4], [8, 1]], 1/143327232],
[[[1, 8], [2, 3], [3, 1], [6, 4], [10, 1]], 1/3583180800],
[[[1, 8], [2, 3], [3, 1], [6, 4], [12, 1]], 1/238878720],
[[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 1657/34836480],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 16973/66355200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 4]], 83/119439360],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 7/147456],
[[[1, 8], [2, 3], [3, 2], [4, 1], [12, 2]], 23/34836480],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 5687/955514880],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 3617/23224320],
[[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 10061/79626240],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 101977/1393459200],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 103661/5016453120],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 679/9953280],
[[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 11/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 6889/557383680],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 117821/7644119040],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 71593/8360755200],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 4163/16588800],
[[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 86729/447897600],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 17917/49766400],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 61/9953280],
[[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 107/442368000],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 56179/836075520],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 18289/705438720],
[[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 107/185794560],
[[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 383/238878720],
[[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 6571/2508226560],
[[[1, 8], [2, 3], [3, 2], [6, 3], [10, 1]], 1/1843200],
[[[1, 8], [2, 3], [3, 2], [6, 3], [12, 1]], 25/95551488],
[[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 203/2488320],
[[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 47/3628800],
[[[1, 8], [2, 3], [3, 2], [7, 1], [12, 1]], 127/6635520],
[[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 15967/268738560],
[[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 1429/111974400],
[[[1, 8], [2, 3], [3, 2], [9, 1], [12, 1]], 5/1327104],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 16085/429981696],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 19729/139345920],
[[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 80231/537477120],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 909469/8360755200],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 293287/4299816960],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 3488399/40131624960],
[[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 6773/928972800],
[[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 179327/5016453120],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 95639/2149908480],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 3475079/15049359360],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 85093/1791590400],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 6953/172032000],
[[[1, 8], [2, 3], [3, 3], [5, 1], [12, 1]], 4781/199065600],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 40253/209018880],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 559849/3762339840],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 40999/1074954240],
[[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 2659/1194393600],
[[[1, 8], [2, 3], [3, 3], [6, 2], [12, 1]], 76547/10032906240],
[[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 1/622080],
[[[1, 8], [2, 3], [3, 3], [8, 1], [12, 1]], 277/119439360],
[[[1, 8], [2, 3], [3, 3], [10, 1], [12, 1]], 1/777600],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 128023/1791590400],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 167269/2149908480],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 59351/1433272320],
[[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 6539/1567641600],
[[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 48841/1881169920],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 8407/179159040],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 3749171/25082265600],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 303671/7524679680],
[[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 601/223948800],
[[[1, 8], [2, 3], [3, 4], [6, 1], [12, 1]], 54517/2149908480],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 23677/537477120],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 27/409600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1237/165888000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/184320],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 7541/36864000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 922811/5806080000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 23713/1741824000],
[[[1, 8], [2, 3], [4, 1], [6, 1], [11, 1]], 49/4561920],
[[[1, 8], [2, 3], [4, 1], [6, 1], [22, 1]], 1/3041280],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/1769472],
[[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/110592000],
[[[1, 8], [2, 3], [4, 1], [6, 3], [7, 1]], 1/2903040],
[[[1, 8], [2, 3], [4, 1], [6, 3], [14, 1]], 19/836075520],
[[[1, 8], [2, 3], [4, 1], [6, 3], [18, 1]], 11/59719680],
[[[1, 8], [2, 3], [4, 1], [6, 4], [8, 1]], 1/179159040],
[[[1, 8], [2, 3], [4, 1], [6, 4], [10, 1]], 1/1791590400],
[[[1, 8], [2, 3], [4, 1], [7, 1], [9, 1]], 79/2903040],
[[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 13/73728000],
[[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1/491520],
[[[1, 8], [2, 3], [4, 1], [14, 1], [18, 1]], 1/11612160],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 22541/103219200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [9, 1]], 577/23224320],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 643/11059200],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1513/159252480],
[[[1, 8], [2, 3], [4, 2], [6, 1], [10, 2]], 1/18432000],
[[[1, 8], [2, 3], [4, 2], [6, 2], [7, 1]], 89/23224320],
[[[1, 8], [2, 3], [4, 2], [6, 2], [14, 1]], 1/30965760],
[[[1, 8], [2, 3], [4, 2], [6, 2], [18, 1]], 29/79626240],
[[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 497/1911029760],
[[[1, 8], [2, 3], [4, 2], [6, 3], [10, 1]], 13/796262400],
[[[1, 8], [2, 3], [4, 2], [6, 3], [12, 1]], 1/53084160],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 17323/185794560],
[[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 937/116121600],
[[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 739/69672960],
[[[1, 8], [2, 3], [4, 2], [8, 1], [9, 1]], 839/61931520],
[[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 13/20643840],
[[[1, 8], [2, 3], [4, 2], [8, 1], [18, 1]], 13/5308416],
[[[1, 8], [2, 3], [4, 2], [9, 1], [10, 1]], 29/116121600],
[[[1, 8], [2, 3], [4, 2], [9, 1], [12, 1]], 29/69672960],
[[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 13/34406400],
[[[1, 8], [2, 3], [4, 2], [10, 1], [18, 1]], 1/11059200],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 7/3317760],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 5203/77414400],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 91427/3981312000],
[[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 17/1843200],
[[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 319/18579456],
[[[1, 8], [2, 3], [4, 3], [6, 1], [9, 1]], 1/2654208],
[[[1, 8], [2, 3], [4, 3], [6, 1], [18, 1]], 1/9953280],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 107/53084160],
[[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 1/13271040],
[[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 973/132710400],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 293/39813120],
[[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 851/232243200],
[[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 29/7077888],
[[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 7/47185920],
[[[1, 8], [2, 3], [5, 1], [6, 1], [8, 2]], 11/9676800],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/921600],
[[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 2629/522547200],
[[[1, 8], [2, 3], [5, 1], [6, 2], [9, 1]], 11/32659200],
[[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 47/149299200],
[[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 33853/348364800],
[[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 181/6048000],
[[[1, 8], [2, 3], [5, 1], [8, 1], [9, 1]], 73/24883200],
[[[1, 8], [2, 3], [5, 1], [9, 1], [10, 1]], 673/193536000],
[[[1, 8], [2, 3], [5, 1], [10, 1], [18, 1]], 1/1036800],
[[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 31273/3483648000],
[[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 1/76800],
[[[1, 8], [2, 3], [6, 1], [7, 1], [9, 1]], 17/8709120],
[[[1, 8], [2, 3], [6, 1], [10, 2], [12, 1]], 1/221184000],
[[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 1/69672960],
[[[1, 8], [2, 3], [6, 2], [7, 1], [8, 1]], 1/1161216],
[[[1, 8], [2, 3], [6, 2], [8, 1], [18, 1]], 1/14929920],
[[[1, 8], [2, 3], [6, 2], [10, 1], [14, 1]], 1/232243200],
[[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 1/49766400],
[[[1, 8], [2, 3], [6, 2], [12, 1], [14, 1]], 1/92897280],
[[[1, 8], [2, 3], [6, 2], [12, 1], [18, 1]], 1/39813120],
[[[1, 8], [2, 3], [7, 1], [8, 1], [10, 1]], 1/537600],
[[[1, 8], [2, 3], [8, 1], [10, 1], [14, 1]], 1/19353600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 2131/6912000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 22829/4299816960],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 10597/95551488],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 289/55296000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [12, 2]], 19/79626240],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 44173/1672151040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 12847/46448640],
[[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 8671/59719680],
[[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 109/8847360],
[[[1, 8], [2, 5], [3, 1], [4, 2], [18, 1]], 25/5308416],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 31781/132710400],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 195787/1911029760],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 2257/7077888],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 5713/132710400],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 14479/318504960],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 266575/2675441664],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 13777/1045094400],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 119713/836075520],
[[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 14281/232243200],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 333989/1741824000],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 479/26542080],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1783/331776000],
[[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 60371/1114767360],
[[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 479/44789760],
[[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 641/139345920],
[[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 1439/179159040],
[[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 10313/1433272320],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1453/447897600],
[[[1, 8], [2, 5], [3, 1], [6, 3], [12, 1]], 59/39813120],
[[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 11551/167215104],
[[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 17/691200],
[[[1, 8], [2, 5], [3, 1], [7, 1], [12, 1]], 883/185794560],
[[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 12643/501645312],
[[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 17/6193152],
[[[1, 8], [2, 5], [3, 1], [8, 1], [18, 1]], 1/39813120],
[[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 61/6220800],
[[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 3/1433600],
[[[1, 8], [2, 5], [3, 1], [10, 1], [18, 1]], 1/2488320],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 1266179/10032906240],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 145739/696729600],
[[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 1237943/7166361600],
[[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 13/3096576],
[[[1, 8], [2, 5], [3, 2], [4, 1], [18, 1]], 1/3981312],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 81719/265420800],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 31987/79626240],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 91/294912],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 4279/99532800],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 61813/955514880],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 7587071/26754416640],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 1428391/5573836800],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 98513/1393459200],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 47639/497664000],
[[[1, 8], [2, 5], [3, 2], [5, 1], [12, 1]], 11147/928972800],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 7849/41803776],
[[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 81269/806215680],
[[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 785/148635648],
[[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 29/5971968],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 990959/10032906240],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 129823/4777574400],
[[[1, 8], [2, 5], [3, 2], [6, 2], [12, 1]], 37/6635520],
[[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 8], [2, 5], [3, 2], [8, 1], [12, 1]], 1873/1114767360],
[[[1, 8], [2, 5], [3, 2], [10, 1], [12, 1]], 13/8294400],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 5271449/35831808000],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 1530437/3583180800],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 7756379/80263249920],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 419/17694720],
[[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 220399/7166361600],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 10271827/30098718720],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 941237/3762339840],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 418343/4299816960],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 28763/895795200],
[[[1, 8], [2, 5], [3, 3], [6, 1], [12, 1]], 7097/358318080],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 2820197/15049359360],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 5407/2388787200],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 2128487/9289728000],
[[[1, 8], [2, 5], [4, 1], [5, 1], [9, 1]], 13649/497664000],
[[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/344064],
[[[1, 8], [2, 5], [4, 1], [5, 1], [18, 1]], 31/33177600],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 315463/3483648000],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 1123/31850496],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 53/18432000],
[[[1, 8], [2, 5], [4, 1], [6, 1], [12, 2]], 1/26542080],
[[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 17/860160],
[[[1, 8], [2, 5], [4, 1], [6, 2], [9, 1]], 17/29859840],
[[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 37/13934592],
[[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 1411/238878720],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 40901/11466178560],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 5549/7166361600],
[[[1, 8], [2, 5], [4, 1], [6, 3], [12, 1]], 523/1433272320],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 71033/557383680],
[[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 2203/77414400],
[[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 59/9289728],
[[[1, 8], [2, 5], [4, 1], [8, 1], [9, 1]], 1187/123863040],
[[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 853/123863040],
[[[1, 8], [2, 5], [4, 1], [8, 1], [18, 1]], 581/159252480],
[[[1, 8], [2, 5], [4, 1], [9, 1], [10, 1]], 223/99532800],
[[[1, 8], [2, 5], [4, 1], [9, 1], [12, 1]], 19/59719680],
[[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 1339/309657600],
[[[1, 8], [2, 5], [4, 1], [10, 1], [18, 1]], 5/3981312],
[[[1, 8], [2, 5], [4, 1], [12, 1], [14, 1]], 1/3096576],
[[[1, 8], [2, 5], [4, 1], [12, 1], [18, 1]], 1/19906560],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 751/29030400],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 50471/132710400],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 597487/3096576000],
[[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 1691/58060800],
[[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 58099/557383680],
[[[1, 8], [2, 5], [4, 2], [6, 1], [9, 1]], 409/111476736],
[[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 1063/185794560],
[[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 749/79626240],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 7499/238878720],
[[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 13/3538944],
[[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 91/35389440],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 647/8847360],
[[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 619/39813120],
[[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 1/368640],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 12931/132710400],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 225847/1911029760],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 89/9830400],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 889/70778880],
[[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 11287/209018880],
[[[1, 8], [2, 5], [5, 1], [6, 1], [9, 1]], 247/65318400],
[[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/3870720],
[[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/1658880],
[[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 6521/597196800],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 40051/995328000],
[[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 281/13271040],
[[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 11/2419200],
[[[1, 8], [2, 5], [6, 1], [8, 1], [9, 1]], 19/119439360],
[[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 233/92897280],
[[[1, 8], [2, 5], [6, 1], [8, 1], [18, 1]], 301/119439360],
[[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 397/309657600],
[[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 307/199065600],
[[[1, 8], [2, 5], [6, 1], [12, 1], [14, 1]], 19/74317824],
[[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 199/199065600],
[[[1, 8], [2, 5], [6, 2], [8, 1], [12, 1]], 1/10616832],
[[[1, 8], [2, 5], [6, 2], [10, 1], [12, 1]], 53/265420800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 3559451/42998169600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 329177/4777574400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 3370169/100329062400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 1279/58060800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [18, 1]], 11/4423680],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 8821067/47775744000],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 2595151/9555148800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 164447/637009920],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 3679/41472000],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 85159/3715891200],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 791147/2388787200],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 1737341/27869184000],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 629/26542080],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 116987/2388787200],
[[[1, 8], [2, 7], [3, 1], [5, 1], [12, 1]], 19483/13934592000],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 16637/398131200],
[[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 55723/3583180800],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 11723/696729600],
[[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 691/74649600],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 14437/318504960],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 96911/2388787200],
[[[1, 8], [2, 7], [3, 1], [6, 2], [12, 1]], 1873/796262400],
[[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 577/66355200],
[[[1, 8], [2, 7], [3, 1], [8, 1], [12, 1]], 7/31850496],
[[[1, 8], [2, 7], [3, 1], [10, 1], [12, 1]], 11/44236800],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 7362589/83607552000],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 2037461/5733089280],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 265891/3185049600],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 467/13271040],
[[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 11317/1114767360],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 6815117/16986931200],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 1779383/16721510400],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 456863/6688604160],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 795341/15925248000],
[[[1, 8], [2, 7], [3, 2], [6, 1], [12, 1]], 6271/1592524800],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 15948389/85996339200],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 1877/66355200],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 1682071/18579456000],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 1673197/15925248000],
[[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 7/2211840],
[[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 1109/25804800],
[[[1, 8], [2, 7], [4, 1], [6, 1], [9, 1]], 13/4423680],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 7367/348364800],
[[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 4379/298598400],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 39653/955514880],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 278659/11943936000],
[[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 1027/265420800],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 69527/1327104000],
[[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 1/983040],
[[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 47/33177600],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 129679/1161216000],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 847873/4777574400],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 59959/884736000],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 118759/8493465600],
[[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 29/2457600],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 10099/298598400],
[[[1, 8], [2, 7], [5, 1], [6, 1], [12, 1]], 7/44236800],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 3239/398131200],
[[[1, 8], [2, 7], [6, 1], [8, 1], [12, 1]], 7/53084160],
[[[1, 8], [2, 7], [6, 1], [10, 1], [12, 1]], 1501/2654208000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 496597/31850496000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 155457071/1375941427200],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 255217/9555148800],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 67931/2654208000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 76117/76441190400],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 82951163/535088332800],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 9274423/668860416000],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 784297/50164531200],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 26586911/1003290624000],
[[[1, 8], [2, 9], [3, 1], [6, 1], [12, 1]], 5/23887872],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 5821397/76441190400],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 157769/7962624000],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 31151357/802632499200],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 6173869/143327232000],
[[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 98093/53508833280],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 620785757/33108590592000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [11, 1]], 31/1658880],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 163087/3483648000],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 4]], 1/955514880],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 107/31850496],
[[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 1/92897280],
[[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 11447/836075520],
[[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 14461/2508226560],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 2299/477757440],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 53/8918138880],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 1921/477757440],
[[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 1/11059200],
[[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 277/1486356480],
[[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 23/318504960],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 4]], 1/522547200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 1/737280],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 24677/13934592000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 199/5529600],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 481/13824000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [12, 1]], 2999/774144000],
[[[1, 9], [2, 2], [3, 1], [6, 1], [11, 1]], 5821/2299207680],
[[[1, 9], [2, 2], [3, 1], [6, 1], [22, 1]], 1/72990720],
[[[1, 9], [2, 2], [3, 1], [6, 3], [7, 1]], 1/69672960],
[[[1, 9], [2, 2], [3, 1], [6, 3], [18, 1]], 1/179159040],
[[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 473/36578304],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 2683/22118400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 4]], 7/238878720],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 49/8847360],
[[[1, 9], [2, 2], [3, 2], [4, 1], [12, 2]], 37/627056640],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 3]], 23/477757440],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 59/1492992],
[[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 2389/111476736],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 429383/25082265600],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 36887/60197437440],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 937/119439360],
[[[1, 9], [2, 2], [3, 2], [4, 3], [10, 1]], 1/6220800],
[[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 6311/10032906240],
[[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 8681/7644119040],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 3]], 1859/2786918400],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 13679/101606400],
[[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 86453/1045094400],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 6749/49766400],
[[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 1/9953280],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1009/243855360],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 4465/4514807808],
[[[1, 9], [2, 2], [3, 2], [6, 2], [18, 1]], 1/119439360],
[[[1, 9], [2, 2], [3, 2], [6, 3], [8, 1]], 263/15049359360],
[[[1, 9], [2, 2], [3, 2], [6, 3], [12, 1]], 1/159252480],
[[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 293/11612160],
[[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 11/7257600],
[[[1, 9], [2, 2], [3, 2], [7, 1], [12, 1]], 29/5080320],
[[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 2701/209018880],
[[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 133/111974400],
[[[1, 9], [2, 2], [3, 2], [9, 1], [12, 1]], 17/23224320],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 3]], 17/19906560],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 64153/1170505728],
[[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 8191/179159040],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 149911/4180377600],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 302129/60197437440],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 65657/4459069440],
[[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 8513/8360755200],
[[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 2669/627056640],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 26477/4299816960],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 2703829/75246796800],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 8017/348364800],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 217211/20901888000],
[[[1, 9], [2, 2], [3, 3], [5, 1], [12, 1]], 737/66355200],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 113/1990656],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 8765/250822656],
[[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 659/1074954240],
[[[1, 9], [2, 2], [3, 3], [6, 2], [10, 1]], 1/74649600],
[[[1, 9], [2, 2], [3, 3], [6, 2], [12, 1]], 853/2006581248],
[[[1, 9], [2, 2], [3, 3], [8, 1], [12, 1]], 1/2211840],
[[[1, 9], [2, 2], [3, 3], [10, 1], [12, 1]], 1/12441600],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 7691/199065600],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 341/53747712],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 151943/10032906240],
[[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 2717/3527193600],
[[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 277643/33861058560],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 37129/4299816960],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 577793/8360755200],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1141753/135444234240],
[[[1, 9], [2, 2], [3, 4], [6, 1], [12, 1]], 90883/15049359360],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7559/716636160],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 359/51609600],
[[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 29/165888000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 14653/290304000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 106381/5806080000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 1789/870912000],
[[[1, 9], [2, 2], [4, 1], [6, 1], [11, 1]], 1/2322432],
[[[1, 9], [2, 2], [4, 1], [7, 1], [9, 1]], 347/81285120],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 7151/185794560],
[[[1, 9], [2, 2], [4, 2], [5, 1], [9, 1]], 31/11612160],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 193/22118400],
[[[1, 9], [2, 2], [4, 2], [6, 2], [7, 1]], 1/3317760],
[[[1, 9], [2, 2], [4, 2], [6, 2], [18, 1]], 1/79626240],
[[[1, 9], [2, 2], [4, 2], [6, 3], [8, 1]], 1/955514880],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 299/26542080],
[[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 73/116121600],
[[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 11/13934592],
[[[1, 9], [2, 2], [4, 2], [8, 1], [9, 1]], 187/185794560],
[[[1, 9], [2, 2], [4, 2], [8, 1], [18, 1]], 1/13271040],
[[[1, 9], [2, 2], [4, 2], [9, 1], [10, 1]], 1/116121600],
[[[1, 9], [2, 2], [4, 2], [9, 1], [12, 1]], 1/69672960],
[[[1, 9], [2, 2], [4, 2], [10, 1], [14, 1]], 1/103219200],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 1481/154828800],
[[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 38623/27869184000],
[[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 11/58060800],
[[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 1/1032192],
[[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1/35389440],
[[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/9830400],
[[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 211/464486400],
[[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 1/3538944],
[[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 1/141557760],
[[[1, 9], [2, 2], [5, 1], [6, 1], [8, 2]], 1/19353600],
[[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 31/74649600],
[[[1, 9], [2, 2], [5, 1], [6, 2], [9, 1]], 1/65318400],
[[[1, 9], [2, 2], [5, 1], [6, 3], [10, 1]], 1/2388787200],
[[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 6151/270950400],
[[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 407/145152000],
[[[1, 9], [2, 2], [5, 1], [8, 1], [9, 1]], 1/2419200],
[[[1, 9], [2, 2], [5, 1], [9, 1], [10, 1]], 71/290304000],
[[[1, 9], [2, 2], [5, 1], [10, 1], [18, 1]], 1/33177600],
[[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 1789/1741824000],
[[[1, 9], [2, 2], [6, 1], [7, 1], [9, 1]], 1/8709120],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 139309/497664000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1051/3344302080],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 3367/95551488],
[[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 7/55296000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [12, 2]], 31/557383680],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 6871/3344302080],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 31019/185794560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 117031/1672151040],
[[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 61/61931520],
[[[1, 9], [2, 4], [3, 1], [4, 2], [18, 1]], 1/1769472],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 80203/668860416],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 337217/26754416640],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 213793/2229534720],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 3097/398131200],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 28495/2675441664],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 541349/26754416640],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 13151/6270566400],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 559829/4180377600],
[[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 89849/2090188800],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 566507/4180377600],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 115/37158912],
[[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 47/663552000],
[[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 32951/2006581248],
[[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 3013/1881169920],
[[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 13/55738368],
[[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 151/358318080],
[[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 2383/6688604160],
[[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 37/597196800],
[[[1, 9], [2, 4], [3, 1], [6, 3], [12, 1]], 1/13271040],
[[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 35179/836075520],
[[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 1543/174182400],
[[[1, 9], [2, 4], [3, 1], [7, 1], [12, 1]], 17/6881280],
[[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 25667/2508226560],
[[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 1249/522547200],
[[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 1/38707200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 1038677/60197437440],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 19/108864],
[[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 111763/1003290624],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 448739/1857945600],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 310481/3344302080],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 244099/1672151040],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 2441/209018880],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 107731/4013162496],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 43252283/481579499520],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 811157/7166361600],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 743399/12541132800],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 110141/2322432000],
[[[1, 9], [2, 4], [3, 2], [5, 1], [12, 1]], 2809/309657600],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 1065409/8778792960],
[[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 530779/11287019520],
[[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 107/247726080],
[[[1, 9], [2, 4], [3, 2], [6, 1], [18, 1]], 1/2985984],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1175819/60197437440],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 53581/33443020800],
[[[1, 9], [2, 4], [3, 2], [6, 2], [12, 1]], 61/83607552],
[[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 1/518400],
[[[1, 9], [2, 4], [3, 2], [8, 1], [12, 1]], 1487/2006581248],
[[[1, 9], [2, 4], [3, 2], [10, 1], [12, 1]], 23/58060800],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 2783663/16721510400],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 2342981/15049359360],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 3113501/40131624960],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 502093/50164531200],
[[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 633841/30098718720],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 493075/3009871872],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 2063441/9405849600],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 1099837/20065812480],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 3413/447897600],
[[[1, 9], [2, 4], [3, 3], [6, 1], [12, 1]], 25367/2508226560],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 36338483/270888468480],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 11/43545600],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 358261/2167603200],
[[[1, 9], [2, 4], [4, 1], [5, 1], [9, 1]], 5/344064],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 146257/3483648000],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 607/185794560],
[[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/13824000],
[[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 1819/418037760],
[[[1, 9], [2, 4], [4, 1], [6, 2], [9, 1]], 29/418037760],
[[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/9289728],
[[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 307/955514880],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 811/7644119040],
[[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/95551488],
[[[1, 9], [2, 4], [4, 1], [6, 3], [12, 1]], 1/159252480],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 4349/79626240],
[[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 197/25804800],
[[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 59/27869184],
[[[1, 9], [2, 4], [4, 1], [8, 1], [9, 1]], 1693/557383680],
[[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 47/123863040],
[[[1, 9], [2, 4], [4, 1], [8, 1], [18, 1]], 43/106168320],
[[[1, 9], [2, 4], [4, 1], [9, 1], [10, 1]], 41/139345920],
[[[1, 9], [2, 4], [4, 1], [9, 1], [12, 1]], 31/418037760],
[[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 29/176947200],
[[[1, 9], [2, 4], [4, 1], [10, 1], [18, 1]], 1/33177600],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 979/232243200],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 146117/928972800],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 5079/114688000],
[[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 3221/348364800],
[[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 6367/185794560],
[[[1, 9], [2, 4], [4, 2], [6, 1], [9, 1]], 367/557383680],
[[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 11/30965760],
[[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 13/19906560],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 4433/1672151040],
[[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 29/265420800],
[[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 11/106168320],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1/145152],
[[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 173/92897280],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 20549/696729600],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 273391/13377208320],
[[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 533/1238630400],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 587/990904320],
[[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 27899/1045094400],
[[[1, 9], [2, 4], [5, 1], [6, 1], [9, 1]], 37/37324800],
[[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 11/17418240],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 983/1194393600],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 53699/6967296000],
[[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 275/55738368],
[[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 1/2419200],
[[[1, 9], [2, 4], [6, 1], [8, 1], [9, 1]], 31/836075520],
[[[1, 9], [2, 4], [6, 1], [8, 1], [14, 1]], 1/23224320],
[[[1, 9], [2, 4], [6, 1], [8, 1], [18, 1]], 1/9953280],
[[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 23/928972800],
[[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 7/199065600],
[[[1, 9], [2, 4], [6, 1], [12, 1], [14, 1]], 1/123863040],
[[[1, 9], [2, 4], [6, 2], [10, 1], [12, 1]], 1/265420800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 217057/11466178560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 850039/8360755200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 34253/928972800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 383/92897280],
[[[1, 9], [2, 6], [3, 1], [4, 1], [18, 1]], 119/159252480],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 146651/589824000],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 140345/1337720832],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 1310891/6370099200],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 2137/58060800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 10541/619315200],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 4208753/22295347200],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 20843689/501645312000],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 38119/1194393600],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 228031/5971968000],
[[[1, 9], [2, 6], [3, 1], [5, 1], [12, 1]], 45323/27869184000],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 58781/1254113280],
[[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 86971/7524679680],
[[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 13121/5573836800],
[[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 869/477757440],
[[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 1125323/80263249920],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 14791/2388787200],
[[[1, 9], [2, 6], [3, 1], [6, 2], [12, 1]], 1147/1911029760],
[[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1/331776],
[[[1, 9], [2, 6], [3, 1], [8, 1], [12, 1]], 761/4459069440],
[[[1, 9], [2, 6], [3, 1], [10, 1], [12, 1]], 19/132710400],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 80039329/501645312000],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 63741859/300987187200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 9300569/100329062400],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 13871/597196800],
[[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 49187/4180377600],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 1086057697/3210529996800],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 7203283/50164531200],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 26146681/481579499520],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 45961/2229534720],
[[[1, 9], [2, 6], [3, 2], [6, 1], [12, 1]], 59/18579456],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 38326549/171992678400],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 179/15482880],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 1151621/13934592000],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 2127971/37158912000],
[[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 397/139345920],
[[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 31229/836075520],
[[[1, 9], [2, 6], [4, 1], [6, 1], [9, 1]], 2351/1672151040],
[[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 571/212336640],
[[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 551/212336640],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 6845/764411904],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 6353/3185049600],
[[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 13/29859840],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 587/42467328],
[[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 11/26542080],
[[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 1/8294400],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 18779/248832000],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 1777313/26754416640],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 5477/530841600],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 5203/1698693120],
[[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 10729/1393459200],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 285067/23887872000],
[[[1, 9], [2, 6], [5, 1], [6, 1], [12, 1]], 1/44236800],
[[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 37/44236800],
[[[1, 9], [2, 6], [6, 1], [8, 1], [12, 1]], 13/424673280],
[[[1, 9], [2, 6], [6, 1], [10, 1], [12, 1]], 19/265420800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 6173869/143327232000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 5821397/76441190400],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 31151357/802632499200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 157769/7962624000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 98093/53508833280],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 82951163/535088332800],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 26586911/1003290624000],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 784297/50164531200],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 9274423/668860416000],
[[[1, 9], [2, 8], [3, 1], [6, 1], [12, 1]], 5/23887872],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 155457071/1375941427200],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 67931/2654208000],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 255217/9555148800],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 496597/31850496000],
[[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 76117/76441190400],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 30287033/1146617856000],
[[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 7/2764800],
[[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 47/12441600],
[[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 223/116121600],
[[[1, 9], [3, 1], [4, 2], [6, 2], [7, 1]], 1/185794560],
[[[1, 9], [3, 1], [4, 2], [7, 1], [12, 1]], 1/30965760],
[[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 1/4423680],
[[[1, 9], [3, 1], [5, 1], [6, 2], [7, 1]], 401/3251404800],
[[[1, 9], [3, 1], [5, 1], [7, 1], [12, 1]], 401/541900800],
[[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 11/11612160],
[[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 133/179159040],
[[[1, 9], [3, 2], [4, 2], [5, 1], [6, 2]], 13/928972800],
[[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 13/154828800],
[[[1, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 1/13271040],
[[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 2941/2090188800],
[[[1, 9], [3, 3], [4, 1], [6, 2], [8, 1]], 1/119439360],
[[[1, 9], [3, 3], [4, 1], [8, 1], [12, 1]], 1/19906560],
[[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 31/33177600],
[[[1, 9], [4, 1], [5, 1], [8, 1], [9, 1]], 1/29030400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [11, 1]], 23/18247680],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 3203/870912000],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 31/159252480],
[[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 433/334430208],
[[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 119/238878720],
[[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 181/1238630400],
[[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 1/17694720],
[[[1, 10], [2, 1], [3, 1], [5, 2], [6, 2]], 29/331776000],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 41/11059200],
[[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 7/2764800],
[[[1, 10], [2, 1], [3, 1], [5, 2], [12, 1]], 29/55296000],
[[[1, 10], [2, 1], [3, 1], [6, 1], [11, 1]], 13/306561024],
[[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 1021/731566080],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1237/66355200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 1/13271040],
[[[1, 10], [2, 1], [3, 2], [4, 1], [12, 2]], 1/627056640],
[[[1, 10], [2, 1], [3, 2], [4, 2], [6, 3]], 1/955514880],
[[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 533/209018880],
[[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 2347/1881169920],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 11659/5016453120],
[[[1, 10], [2, 1], [3, 2], [4, 3], [6, 2]], 29/8599633920],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 503/955514880],
[[[1, 10], [2, 1], [3, 2], [4, 3], [10, 1]], 1/99532800],
[[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 53/1433272320],
[[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/26542080],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 3]], 89/2786918400],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 238453/7315660800],
[[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 16907/1045094400],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 263/16588800],
[[[1, 10], [2, 1], [3, 2], [6, 2], [7, 1]], 1943/17557585920],
[[[1, 10], [2, 1], [3, 2], [6, 2], [9, 1]], 23/2508226560],
[[[1, 10], [2, 1], [3, 2], [6, 3], [8, 1]], 1/7524679680],
[[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 23/11612160],
[[[1, 10], [2, 1], [3, 2], [7, 1], [12, 1]], 1943/2926264320],
[[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 55/62705664],
[[[1, 10], [2, 1], [3, 2], [9, 1], [12, 1]], 23/418037760],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 3]], 11/716636160],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 389/48771072],
[[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 869/179159040],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 7459/2508226560],
[[[1, 10], [2, 1], [3, 3], [4, 2], [6, 2]], 67/7524679680],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 8849/13377208320],
[[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 67/1254113280],
[[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 13/179159040],
[[[1, 10], [2, 1], [3, 3], [5, 1], [6, 2]], 911/2786918400],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 12601/4180377600],
[[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 15121/16721510400],
[[[1, 10], [2, 1], [3, 3], [5, 1], [12, 1]], 911/464486400],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1613/313528320],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1237/470292480],
[[[1, 10], [2, 1], [3, 3], [6, 2], [8, 1]], 1/238878720],
[[[1, 10], [2, 1], [3, 3], [8, 1], [12, 1]], 1/39813120],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 185/23887872],
[[[1, 10], [2, 1], [3, 4], [4, 1], [6, 2]], 11/119439360],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 63397/45148078080],
[[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 121/1763596800],
[[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 22583/33861058560],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 6737/8599633920],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 253769/25082265600],
[[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 121/2116316160],
[[[1, 10], [2, 1], [3, 4], [6, 1], [12, 1]], 617/1672151040],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1091/3224862720],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 1/25804800],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 9349/2322432000],
[[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 151/2903040000],
[[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 151/1741824000],
[[[1, 10], [2, 1], [4, 1], [6, 1], [11, 1]], 1/95800320],
[[[1, 10], [2, 1], [4, 1], [7, 1], [9, 1]], 1/4515840],
[[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 4993/2438553600],
[[[1, 10], [2, 1], [4, 2], [5, 1], [9, 1]], 1/24883200],
[[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 73/185794560],
[[[1, 10], [2, 1], [4, 2], [8, 1], [9, 1]], 1/185794560],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 359/619315200],
[[[1, 10], [2, 1], [4, 3], [5, 1], [10, 1]], 1/193536000],
[[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 1/116121600],
[[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 1/15482880],
[[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 641/406425600],
[[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/29030400],
[[[1, 10], [2, 1], [5, 1], [8, 1], [9, 1]], 1/58060800],
[[[1, 10], [2, 1], [5, 1], [9, 1], [10, 1]], 1/232243200],
[[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 151/3483648000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 5407/41472000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 4]], 13/20065812480],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 3793/743178240],
[[[1, 10], [2, 3], [3, 1], [4, 1], [12, 2]], 47/8360755200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 251/2675441664],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 12631/278691840],
[[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 12499/836075520],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 439471/16721510400],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 197033/401316249600],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 169891/13377208320],
[[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 1363/2786918400],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 20011/22295347200],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 133171/80263249920],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 337/3135283200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 320473/4877107200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 53/3317760],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 970247/20901888000],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 263/1672151040],
[[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/663552000],
[[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 32887/21946982400],
[[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 1/11757312],
[[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/278691840],
[[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/119439360],
[[[1, 10], [2, 3], [3, 1], [6, 3], [8, 1]], 47/100329062400],
[[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 71441/5852528640],
[[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 121/87091200],
[[[1, 10], [2, 3], [3, 1], [7, 1], [12, 1]], 263/406425600],
[[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 1661/836075520],
[[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 59/261273600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 8737/10032906240],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 103723/1463132160],
[[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 544661/15049359360],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 1437967/16721510400],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 4453/668860416],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 25679/836075520],
[[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 3079/2090188800],
[[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 2597/573308928],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 5614897/481579499520],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 358979/18811699200],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 313391/12541132800],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 28241/2322432000],
[[[1, 10], [2, 3], [3, 2], [5, 1], [12, 1]], 7471/2090188800],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 64031/1755758592],
[[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 113503/11287019520],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 25307/20065812480],
[[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 463/25082265600],
[[[1, 10], [2, 3], [3, 2], [6, 2], [12, 1]], 5/188116992],
[[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 1/8294400],
[[[1, 10], [2, 3], [3, 2], [8, 1], [12, 1]], 293/2006581248],
[[[1, 10], [2, 3], [3, 2], [10, 1], [12, 1]], 37/1045094400],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 665053/7166361600],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 1272889/60197437440],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 139417/5016453120],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 1339657/752467968000],
[[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 2916097/451480780800],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 553693/17199267840],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 455237/4702924800],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 11368087/902961561600],
[[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 289/447897600],
[[[1, 10], [2, 3], [3, 3], [6, 1], [12, 1]], 17299/7524679680],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 3979793/90296156160],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 1/87091200],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 1132253/19508428800],
[[[1, 10], [2, 3], [4, 1], [5, 1], [9, 1]], 349/99532800],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 10391/1161216000],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 71/1337720832],
[[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 127/418037760],
[[[1, 10], [2, 3], [4, 1], [6, 2], [9, 1]], 1/418037760],
[[[1, 10], [2, 3], [4, 1], [6, 2], [18, 1]], 1/318504960],
[[[1, 10], [2, 3], [4, 1], [6, 3], [8, 1]], 1/7644119040],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 1591/162570240],
[[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 2341/3483648000],
[[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 691/2090188800],
[[[1, 10], [2, 3], [4, 1], [8, 1], [9, 1]], 31/69672960],
[[[1, 10], [2, 3], [4, 1], [8, 1], [18, 1]], 1/106168320],
[[[1, 10], [2, 3], [4, 1], [9, 1], [10, 1]], 137/10450944000],
[[[1, 10], [2, 3], [4, 1], [9, 1], [12, 1]], 47/6270566400],
[[[1, 10], [2, 3], [4, 1], [10, 1], [14, 1]], 1/412876800],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 83/348364800],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 57419/1857945600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 220847/55738368000],
[[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 1193/1045094400],
[[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 2207/433520640],
[[[1, 10], [2, 3], [4, 2], [6, 1], [9, 1]], 31/557383680],
[[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/123863040],
[[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/53084160],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/41287680],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 733/5573836800],
[[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 71/668860416],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 187/55738368],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 6337/4459069440],
[[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1/82575360],
[[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 67/2972712960],
[[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 4993/914457600],
[[[1, 10], [2, 3], [5, 1], [6, 1], [9, 1]], 1/9331200],
[[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 1/34836480],
[[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 13/1194393600],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1199/2322432000],
[[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 253/597196800],
[[[1, 10], [2, 3], [6, 1], [8, 1], [9, 1]], 47/12541132800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 414611/200658124800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 17661083/234101145600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 697553/33443020800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 1/3870720],
[[[1, 10], [2, 5], [3, 1], [4, 1], [18, 1]], 11/159252480],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 1962847/11147673600],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 320831/15288238080],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 336109/3822059520],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 4901/597196800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 203053/32105299968],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 5631949/100329062400],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 185081/12541132800],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 188647/8360755200],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 1364257/83607552000],
[[[1, 10], [2, 5], [3, 1], [5, 1], [12, 1]], 353/348364800],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 4553327/175575859200],
[[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 64667/15049359360],
[[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 1/8709120],
[[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 29/238878720],
[[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 29921/14863564800],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 121/464486400],
[[[1, 10], [2, 5], [3, 1], [6, 2], [12, 1]], 419/6688604160],
[[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 23/38707200],
[[[1, 10], [2, 5], [3, 1], [8, 1], [12, 1]], 4411/66886041600],
[[[1, 10], [2, 5], [3, 1], [10, 1], [12, 1]], 31/928972800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 77264153/501645312000],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 718639/10749542400],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 796007/13377208320],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 112589/12541132800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 254239/37623398400],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 16409123/107017666560],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 1003699/9405849600],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 770003/32105299968],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 884959/200658124800],
[[[1, 10], [2, 5], [3, 2], [6, 1], [12, 1]], 77521/60197437440],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 523005967/3611846246400],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 6221/2090188800],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 1405351/33443020800],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 1278103/74317824000],
[[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 101/83607552],
[[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 62849/4180377600],
[[[1, 10], [2, 5], [4, 1], [6, 1], [9, 1]], 7681/25082265600],
[[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 19/123863040],
[[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 31/159252480],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1133/1486356480],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 169/3185049600],
[[[1, 10], [2, 5], [4, 1], [6, 2], [12, 1]], 1/53084160],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 13/8257536],
[[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 31/371589120],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 116443/4180377600],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 173/13762560],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 9367/14863564800],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 935/3567255552],
[[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 10253/4180377600],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 164069/83607552000],
[[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/66355200],
[[[1, 10], [2, 5], [6, 1], [8, 1], [12, 1]], 1/424673280],
[[[1, 10], [2, 5], [6, 1], [10, 1], [12, 1]], 1/530841600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 63439279/1003290624000],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 86913881/2675441664000],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 2955653/89181388800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 8563/928972800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 2239403/1337720832000],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 2649/26214400],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 5776649/200658124800],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 536641/57330892800],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 2668889/668860416000],
[[[1, 10], [2, 7], [3, 1], [6, 1], [12, 1]], 1333/13377208320],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 145208789/1375941427200],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 156439/7962624000],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 538441/53508833280],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 197/78643200],
[[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 17927/76441190400],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 30287033/1146617856000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 4601/165888000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 41/148635648],
[[[1, 11], [2, 2], [3, 1], [4, 1], [12, 2]], 67/275904921600],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 3]], 1/4459069440],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 517247/117050572800],
[[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 20029/16721510400],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 281153/100329062400],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 358661/26486872473600],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 9599/13377208320],
[[[1, 11], [2, 2], [3, 1], [4, 3], [10, 1]], 37/8360755200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 6509/490497638400],
[[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 673/11466178560],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 3]], 1/2090188800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 80177/4877107200],
[[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 341/116121600],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 269957/41803776000],
[[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 1/836075520],
[[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 601/17557585920],
[[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/627056640],
[[[1, 11], [2, 2], [3, 1], [6, 3], [8, 1]], 67/3310859059200],
[[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 2881/1950842880],
[[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 13/174182400],
[[[1, 11], [2, 2], [3, 1], [7, 1], [12, 1]], 79/975421440],
[[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 131/836075520],
[[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/174182400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 3]], 23/2866544640],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 38723/2926264320],
[[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 110111/20065812480],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 187553/16721510400],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 227/1857945600],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 137/53084160],
[[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 173/2090188800],
[[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 25633/100329062400],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 9547/15049359360],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 65729/75246796800],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 6047/1393459200],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 59081/41803776000],
[[[1, 11], [2, 2], [3, 2], [5, 1], [12, 1]], 23/34836480],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 2291/501645312],
[[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 3715/4514807808],
[[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 949/60197437440],
[[[1, 11], [2, 2], [3, 2], [6, 2], [10, 1]], 1/6270566400],
[[[1, 11], [2, 2], [3, 2], [6, 2], [12, 1]], 1/3762339840],
[[[1, 11], [2, 2], [3, 2], [8, 1], [12, 1]], 13/1114767360],
[[[1, 11], [2, 2], [3, 2], [10, 1], [12, 1]], 1/1045094400],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 169339/7166361600],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 9127/15049359360],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 9382679/2407897497600],
[[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 2791427/24831442944000],
[[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 12004367/14898865766400],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 226819/120394874880],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 17371/940584960],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 25292147/29797731532800],
[[[1, 11], [2, 2], [3, 3], [6, 1], [12, 1]], 1579/7524679680],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 188213/36118462464],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 706669/78033715200],
[[[1, 11], [2, 2], [4, 1], [5, 1], [9, 1]], 7/19906560],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 2797/3483648000],
[[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 1/955514880],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 61/90316800],
[[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 47/3483648000],
[[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 47/2090188800],
[[[1, 11], [2, 2], [4, 1], [8, 1], [9, 1]], 919/33443020800],
[[[1, 11], [2, 2], [4, 1], [9, 1], [10, 1]], 67/344881152000],
[[[1, 11], [2, 2], [4, 1], [9, 1], [12, 1]], 67/206928691200],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 1/99532800],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 12811/5573836800],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 163/2064384000],
[[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 11/261273600],
[[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 1117/3901685760],
[[[1, 11], [2, 2], [4, 2], [6, 1], [9, 1]], 1/557383680],
[[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 1/796262400],
[[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/477757440],
[[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 13/232243200],
[[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 1/212336640],
[[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 641/1828915200],
[[[1, 11], [2, 2], [5, 1], [6, 1], [9, 1]], 1/261273600],
[[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 1/116121600],
[[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 47/4180377600],
[[[1, 11], [2, 2], [6, 1], [8, 1], [9, 1]], 67/413857382400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 1123079/13243436236800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 1543/52254720],
[[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 38771/6270566400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 3791/58982400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 3312607/1605264998400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 797801/40131624960],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 5857/6967296000],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 6779/5945425920],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 473191/61312204800],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 1190033/501645312000],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 42407/5016453120],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 473/124416000],
[[[1, 11], [2, 4], [3, 1], [5, 1], [12, 1]], 3217/9289728000],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 104357/14631321600],
[[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 2503/3135283200],
[[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 1/371589120],
[[[1, 11], [2, 4], [3, 1], [6, 1], [18, 1]], 1/477757440],
[[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 40361/331085905920],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 19/10450944000],
[[[1, 11], [2, 4], [3, 1], [6, 2], [12, 1]], 503/200658124800],
[[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 37/696729600],
[[[1, 11], [2, 4], [3, 1], [8, 1], [12, 1]], 3463/275904921600],
[[[1, 11], [2, 4], [3, 1], [10, 1], [12, 1]], 47/13934592000],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 447731/5573836800],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1663877/171992678400],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 80501/4013162496],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 105703/62705664000],
[[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 58613/30098718720],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 53641201/1605264998400],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 1601953/37623398400],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 1553/293932800],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 1/2239488],
[[[1, 11], [2, 4], [3, 2], [6, 1], [12, 1]], 19769/75246796800],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 725872033/14898865766400],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 2129/6270566400],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 93607/8360755200],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 320099/123863040000],
[[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 377/1492992000],
[[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 39559/14631321600],
[[[1, 11], [2, 4], [4, 1], [6, 1], [9, 1]], 13291/413857382400],
[[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/495452160],
[[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/212336640],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 9893/401316249600],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 8609/111476736000],
[[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 47/5573836800],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 601/116121600],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 655/594542592],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 3617/222953472000],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 487/38220595200],
[[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 7319/20901888000],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 19849/167215104000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 52851671/1003290624000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 2181890413/264868724736000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 13984337/802632499200],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 285307/100329062400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 108524359/132434362368000],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 21211/530841600],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 18106787/1003290624000],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 22217509/6621718118400],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 459187/668860416000],
[[[1, 11], [2, 6], [3, 1], [6, 1], [12, 1]], 5147/200658124800],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 16319867/275188285440],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 558623/62705664000],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 349997/160526499840],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 2749/14863564800],
[[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 16283/535088332800],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 620785757/33108590592000],
[[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 13/278691840],
[[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/278691840],
[[[1, 11], [3, 1], [4, 2], [5, 1], [6, 2]], 1/5573836800],
[[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 1/928972800],
[[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 691/4180377600],
[[[1, 11], [3, 2], [4, 1], [6, 2], [8, 1]], 1/10032906240],
[[[1, 11], [3, 2], [4, 1], [8, 1], [12, 1]], 1/1672151040],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 1/497664],
[[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1/1114767360],
[[[1, 12], [2, 1], [3, 1], [4, 1], [12, 2]], 1/275904921600],
[[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 3911/29262643200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 1417/103464345600],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 2609/14332723200],
[[[1, 12], [2, 1], [3, 1], [4, 3], [6, 2]], 743/26486872473600],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 311/13377208320],
[[[1, 12], [2, 1], [3, 1], [4, 3], [10, 1]], 1/8360755200],
[[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 541/1471492915200],
[[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/1274019840],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 109673/58525286400],
[[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 107/464486400],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 3613/13934592000],
[[[1, 12], [2, 1], [3, 1], [6, 2], [7, 1]], 5783/7725337804800],
[[[1, 12], [2, 1], [3, 1], [6, 3], [8, 1]], 1/3310859059200],
[[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 121/1950842880],
[[[1, 12], [2, 1], [3, 1], [7, 1], [12, 1]], 5783/1287556300800],
[[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/278691840],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 3]], 1/30098718720],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 197/243855360],
[[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 1957/6688604160],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 97/232243200],
[[[1, 12], [2, 1], [3, 2], [4, 2], [6, 2]], 19/103464345600],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 29/557383680],
[[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 19/17244057600],
[[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 11/2508226560],
[[[1, 12], [2, 1], [3, 2], [5, 1], [6, 2]], 289/33443020800],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 989/4180377600],
[[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 451/8360755200],
[[[1, 12], [2, 1], [3, 2], [5, 1], [12, 1]], 289/5573836800],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 3421/17557585920],
[[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 43/2508226560],
[[[1, 12], [2, 1], [3, 2], [6, 2], [8, 1]], 1/20065812480],
[[[1, 12], [2, 1], [3, 2], [8, 1], [12, 1]], 1/3344302080],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 12377/6270566400],
[[[1, 12], [2, 1], [3, 3], [4, 1], [6, 2]], 17/4013162496],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 16639669/79460617420800],
[[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 119681/24831442944000],
[[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 124589/3724716441600],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 37/557383680],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 2869/2508226560],
[[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 119681/29797731532800],
[[[1, 12], [2, 1], [3, 3], [6, 1], [12, 1]], 1/156764160],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 14969/270888468480],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 38053/78033715200],
[[[1, 12], [2, 1], [4, 1], [5, 1], [9, 1]], 1/87091200],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/31104000],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 67/5573836800],
[[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/3483648000],
[[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/2090188800],
[[[1, 12], [2, 1], [4, 1], [8, 1], [9, 1]], 629/1103619686400],
[[[1, 12], [2, 1], [4, 1], [9, 1], [10, 1]], 1/344881152000],
[[[1, 12], [2, 1], [4, 1], [9, 1], [12, 1]], 1/206928691200],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 53/2786918400],
[[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/1393459200],
[[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/464486400],
[[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/4180377600],
[[[1, 12], [2, 1], [6, 1], [8, 1], [9, 1]], 1/413857382400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 1549/3310859059200],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 2820157/468202291200],
[[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 6887/7431782400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 7344187/668860416000],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 849943/10594748989440],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 177997/80263249920],
[[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 29/746496000],
[[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 794483/8828957491200],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 181487/413857382400],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1123723/8277147648000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 5521/3583180800],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 8381/18579456000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [12, 1]], 28661/459841536000],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 504337/551809843200],
[[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 334727/4966288588800],
[[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 937/275904921600],
[[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 67/2759049216000],
[[[1, 12], [2, 3], [3, 1], [6, 2], [12, 1]], 67/1655429529600],
[[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 1/696729600],
[[[1, 12], [2, 3], [3, 1], [8, 1], [12, 1]], 79/68976230400],
[[[1, 12], [2, 3], [3, 1], [10, 1], [12, 1]], 67/459841536000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 1094099/50164531200],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 685003/1203948748800],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 189511/57330892800],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 12247/98537472000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 453697/1655429529600],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 202297/68976230400],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 46807/5573836800],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 52523/103464345600],
[[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 13/783820800],
[[[1, 12], [2, 3], [3, 2], [6, 1], [12, 1]], 172807/6621718118400],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 42862091/5675758387200],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 1/78382080],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 159221/111476736000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 8271/50462720000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 2987/114960384000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 113/522547200],
[[[1, 12], [2, 3], [4, 1], [6, 1], [9, 1]], 223/137952460800],
[[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 173/367873228800],
[[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 113/76640256000],
[[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 67/183936614400],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 29/66355200],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 2567/66886041600],
[[[1, 12], [2, 3], [4, 2], [6, 1], [10, 1]], 67/459841536000],
[[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 67/275904921600],
[[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 4967/229920768000],
[[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 1/522547200],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 25133179/1003290624000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 295686199/264868724736000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 133927/25082265600],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 18113/35831808000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 28918397/132434362368000],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 455913683/52973744947200],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 209967253/33108590592000],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 987487/1471492915200],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 71957/1051066368000],
[[[1, 12], [2, 5], [3, 1], [6, 1], [12, 1]], 12359/3310859059200],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 94616473/5045118566400],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 5828929/2759049216000],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 794383/2942985830400],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 4973/668860416000],
[[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 143/64210599936],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 1177826579/132434362368000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 3]], 23/4414478745600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 67691/117050572800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 4889/78829977600],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 5346961/7357464576000],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 377/963158999040],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 541/5449973760],
[[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/995328000],
[[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 1949/802632499200],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 289/29561241600],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 69043/33108590592000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 49/398131200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 1969/83607552000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [12, 1]], 3467/613122048000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 317/6437781504],
[[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 5659/2483144294400],
[[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 1487/26486872473600],
[[[1, 13], [2, 2], [3, 1], [6, 2], [10, 1]], 1/2759049216000],
[[[1, 13], [2, 2], [3, 1], [6, 2], [12, 1]], 1/1655429529600],
[[[1, 13], [2, 2], [3, 1], [8, 1], [12, 1]], 23/490497638400],
[[[1, 13], [2, 2], [3, 1], [10, 1], [12, 1]], 1/459841536000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 183661/66886041600],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 39211/3310859059200],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 566633/2207239372800],
[[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 6767/2069286912000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 86927/4966288588800],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 15031/183936614400],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 12287/16721510400],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 43397/2483144294400],
[[[1, 13], [2, 2], [3, 2], [6, 1], [12, 1]], 557/472979865600],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 260947/620786073600],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 24217/306561024000],
[[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 123469/36787322880000],
[[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 421/344881152000],
[[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 2389/321889075200],
[[[1, 13], [2, 2], [4, 1], [6, 1], [9, 1]], 23/551809843200],
[[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 1/551809843200],
[[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 1/306561024000],
[[[1, 13], [2, 2], [4, 1], [8, 1], [12, 1]], 1/183936614400],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 61/4180377600],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 3109/4414478745600],
[[[1, 13], [2, 2], [4, 2], [6, 1], [10, 1]], 1/459841536000],
[[[1, 13], [2, 2], [4, 2], [6, 1], [12, 1]], 1/275904921600],
[[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 421/689762304000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 637607/95551488000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 713347/9631589990400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 240059/267544166400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 937/21555072000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 1672819/52973744947200],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 9682621/10594748989440],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 15728827/13243436236800],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 83501/1203948748800],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 2323/689762304000],
[[[1, 13], [2, 4], [3, 1], [6, 1], [12, 1]], 977/3310859059200],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 61588159/19865154355200],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 85027/344881152000],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 18967/1103619686400],
[[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 67/344881152000],
[[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 67/827714764800],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 135158839/52973744947200],
[[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 43/16721510400],
[[[1, 13], [3, 1], [4, 1], [6, 2], [8, 1]], 1/4414478745600],
[[[1, 13], [3, 1], [4, 1], [8, 1], [12, 1]], 1/735746457600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 3]], 1/13243436236800],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 3209/156067430400],
[[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 589/441447874560],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 9967/919683072000],
[[[1, 14], [2, 1], [3, 1], [4, 2], [6, 2]], 73/105947489894400],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 37/58859716608],
[[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 73/17657914982400],
[[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 37/735746457600],
[[[1, 14], [2, 1], [3, 1], [5, 1], [6, 2]], 19/476872704000],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 1/298598400],
[[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 13/33443020800],
[[[1, 14], [2, 1], [3, 1], [5, 1], [12, 1]], 19/79478784000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 557/772533780480],
[[[1, 14], [2, 1], [3, 1], [6, 1], [9, 1]], 41/1655429529600],
[[[1, 14], [2, 1], [3, 1], [6, 2], [8, 1]], 1/8828957491200],
[[[1, 14], [2, 1], [3, 1], [8, 1], [12, 1]], 1/1471492915200],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 8213/66886041600],
[[[1, 14], [2, 1], [3, 2], [4, 1], [6, 2]], 1/22072393728],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 105773/13243436236800],
[[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 149/2069286912000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 139/354734899200],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 137/110361968640],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 79/3583180800],
[[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 149/2483144294400],
[[[1, 14], [2, 1], [3, 2], [6, 1], [12, 1]], 41/2207239372800],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 325601/119190926131200],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 5479/3678732288000],
[[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/82114560000],
[[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/49268736000],
[[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 23/160944537600],
[[[1, 14], [2, 1], [4, 1], [6, 1], [9, 1]], 1/1655429529600],
[[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 1/630639820800],
[[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/98537472000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 20796397/22072393728000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 50027/21189497978880],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 699829/8828957491200],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 541/344881152000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 127621/52973744947200],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 6659/157659955200],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 17314681/154506756096000],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 11339/3310859059200],
[[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/17244057600],
[[[1, 14], [2, 3], [3, 1], [6, 1], [12, 1]], 73/6621718118400],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 14413/59122483200],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 76343/5518098432000],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 797/1765791498240],
[[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/344881152000],
[[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 1/827714764800],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 876769/2118949797888],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 22183/350355456000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 28571/741632429260800],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 4273/1261279641600],
[[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 1241/49662885888000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 296537/3337345931673600],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 53/75676778496],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 248081/51502252032000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 7963/119190926131200],
[[[1, 15], [2, 2], [3, 1], [6, 1], [12, 1]], 1/6621718118400],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 49/6569164800],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 1277/3218890752000],
[[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/267544166400],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 60358421/1668672965836800],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 2251/1471492915200],
[[[1, 16], [2, 1], [3, 1], [4, 1], [6, 2]], 1/9155955916800],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 161/2837879193600],
[[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 17/49662885888000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 4091/3337345931673600],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 29/7567677849600],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 10861/154506756096000],
[[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 17/59595463065600],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 739/19865154355200],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 239/38626689024000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 441361/278112160972800],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 953/31784246968320],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 281/1668672965836800],
[[[2, 3], [3, 2], [4, 2], [6, 1], [12, 3]], 1/6912],
[[[2, 3], [3, 2], [4, 2], [6, 2], [22, 1]], 1/304128],
[[[2, 3], [3, 2], [4, 2], [6, 3], [12, 2]], 1/41472],
[[[2, 3], [3, 2], [4, 2], [6, 4], [18, 1]], 1/746496],
[[[2, 3], [3, 2], [4, 4], [6, 1], [12, 2]], 1/221184],
[[[2, 3], [3, 2], [4, 4], [6, 3], [12, 1]], 1/1327104],
[[[2, 3], [3, 2], [6, 1], [10, 1], [14, 2]], 1/70560],
[[[2, 3], [3, 2], [6, 1], [14, 1], [22, 1]], 1/22176],
[[[2, 3], [3, 2], [6, 3], [14, 1], [18, 1]], 1/54432],
[[[2, 3], [3, 4], [4, 2], [6, 1], [12, 2]], 1/373248],
[[[2, 3], [3, 4], [4, 4], [6, 1], [12, 1]], 1/11943936],
[[[2, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/31104],
[[[2, 3], [4, 1], [6, 3], [8, 1], [22, 1]], 1/912384],
[[[2, 3], [4, 1], [6, 5], [8, 1], [18, 1]], 1/2239488],
[[[2, 3], [4, 1], [8, 1], [18, 1], [22, 1]], 1/12672],
[[[2, 3], [4, 2], [6, 1], [18, 1], [22, 1]], 1/38016],
[[[2, 3], [4, 2], [6, 2], [12, 1], [22, 1]], 1/50688],
[[[2, 3], [4, 2], [6, 4], [10, 1], [14, 1]], 1/8709120],
[[[2, 3], [4, 2], [6, 4], [12, 1], [18, 1]], 1/124416],
[[[2, 3], [6, 1], [10, 1], [12, 1], [14, 2]], 1/11760],
[[[2, 3], [6, 1], [12, 1], [14, 1], [22, 1]], 1/3696],
[[[2, 3], [6, 3], [12, 1], [14, 1], [18, 1]], 1/9072],
[[[2, 5], [3, 2], [4, 1], [6, 5], [8, 1]], 1/17915904],
[[[2, 5], [3, 2], [4, 2], [6, 1], [22, 1]], 1/2433024],
[[[2, 5], [3, 2], [4, 2], [6, 2], [10, 2]], 1/2764800],
[[[2, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 11/165888],
[[[2, 5], [3, 2], [4, 2], [6, 3], [14, 1]], 1/1161216],
[[[2, 5], [3, 2], [4, 2], [6, 3], [18, 1]], 5/5971968],
[[[2, 5], [3, 2], [4, 2], [6, 4], [10, 1]], 1/2488320],
[[[2, 5], [3, 2], [4, 2], [6, 4], [12, 1]], 1/331776],
[[[2, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1/663552],
[[[2, 5], [3, 2], [6, 1], [10, 1], [22, 1]], 1/126720],
[[[2, 5], [3, 2], [6, 1], [10, 2], [14, 1]], 1/134400],
[[[2, 5], [3, 2], [6, 2], [14, 1], [18, 1]], 1/108864],
[[[2, 5], [3, 2], [6, 3], [10, 1], [14, 1]], 1/145152],
[[[2, 5], [3, 2], [6, 3], [10, 1], [18, 1]], 1/311040],
[[[2, 5], [3, 4], [4, 2], [6, 2], [12, 1]], 1/2985984],
[[[2, 5], [4, 1], [6, 1], [8, 1], [18, 2]], 1/62208],
[[[2, 5], [4, 1], [6, 2], [8, 1], [22, 1]], 1/152064],
[[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/8294400],
[[[2, 5], [4, 1], [6, 4], [8, 1], [14, 1]], 1/3483648],
[[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 5/1492992],
[[[2, 5], [4, 1], [6, 5], [8, 1], [10, 1]], 1/7464960],
[[[2, 5], [4, 1], [6, 5], [8, 1], [12, 1]], 1/2985984],
[[[2, 5], [4, 1], [8, 1], [10, 1], [22, 1]], 1/14080],
[[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[2, 5], [4, 1], [8, 1], [10, 2], [18, 1]], 1/115200],
[[[2, 5], [4, 2], [6, 1], [10, 1], [22, 1]], 1/42240],
[[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/134400],
[[[2, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 1/345600],
[[[2, 5], [4, 2], [6, 1], [12, 1], [22, 1]], 1/405504],
[[[2, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 1/460800],
[[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/48384],
[[[2, 5], [4, 2], [6, 3], [10, 1], [14, 1]], 7/9953280],
[[[2, 5], [4, 2], [6, 3], [10, 1], [18, 1]], 1/77760],
[[[2, 5], [4, 2], [6, 3], [12, 1], [14, 1]], 1/193536],
[[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 5/995328],
[[[2, 5], [4, 2], [6, 4], [10, 1], [12, 1]], 1/414720],
[[[2, 5], [4, 2], [10, 1], [14, 1], [18, 1]], 1/967680],
[[[2, 5], [4, 3], [6, 2], [8, 1], [18, 1]], 1/331776],
[[[2, 5], [4, 3], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/1290240],
[[[2, 5], [6, 1], [10, 1], [12, 1], [22, 1]], 1/21120],
[[[2, 5], [6, 1], [10, 2], [12, 1], [14, 1]], 1/22400],
[[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 17/90720],
[[[2, 5], [6, 2], [12, 1], [14, 1], [18, 1]], 1/18144],
[[[2, 5], [6, 3], [10, 1], [12, 1], [14, 1]], 1/24192],
[[[2, 5], [6, 3], [10, 1], [12, 1], [18, 1]], 1/51840],
[[[2, 7], [3, 2], [4, 1], [6, 4], [8, 1]], 1/8957952],
[[[2, 7], [3, 2], [4, 2], [6, 1], [10, 2]], 1/22118400],
[[[2, 7], [3, 2], [4, 2], [6, 1], [12, 2]], 1/4423680],
[[[2, 7], [3, 2], [4, 2], [6, 2], [14, 1]], 1/6635520],
[[[2, 7], [3, 2], [4, 2], [6, 2], [18, 1]], 1/11943936],
[[[2, 7], [3, 2], [4, 2], [6, 3], [10, 1]], 1/6635520],
[[[2, 7], [3, 2], [4, 2], [6, 3], [12, 1]], 161/26542080],
[[[2, 7], [3, 2], [6, 2], [10, 1], [14, 1]], 41/11612160],
[[[2, 7], [3, 2], [6, 2], [10, 1], [18, 1]], 1/622080],
[[[2, 7], [3, 4], [4, 2], [6, 1], [12, 1]], 1/238878720],
[[[2, 7], [4, 1], [6, 1], [8, 1], [22, 1]], 1/304128],
[[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 13/1382400],
[[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 121/69672960],
[[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/279936],
[[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 37/29859840],
[[[2, 7], [4, 1], [6, 4], [8, 1], [12, 1]], 1/1492992],
[[[2, 7], [4, 1], [8, 1], [14, 1], [18, 1]], 1/967680],
[[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 1/3686400],
[[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 47/5806080],
[[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 137/11612160],
[[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[2, 7], [4, 2], [6, 2], [12, 1], [14, 1]], 1/1105920],
[[[2, 7], [4, 2], [6, 2], [12, 1], [18, 1]], 1/1990656],
[[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 1/1105920],
[[[2, 7], [4, 3], [6, 1], [8, 1], [14, 1]], 1/516096],
[[[2, 7], [4, 3], [6, 1], [8, 1], [18, 1]], 1/663552],
[[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 1/1105920],
[[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 137/1451520],
[[[2, 7], [6, 2], [10, 1], [12, 1], [14, 1]], 41/1935360],
[[[2, 7], [6, 2], [10, 1], [12, 1], [18, 1]], 1/103680],
[[[2, 9], [3, 2], [4, 1], [6, 3], [8, 1]], 1/119439360],
[[[2, 9], [3, 2], [4, 2], [6, 1], [14, 1]], 1/185794560],
[[[2, 9], [3, 2], [4, 2], [6, 2], [10, 1]], 13/928972800],
[[[2, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 1/13271040],
[[[2, 9], [3, 2], [6, 1], [10, 1], [14, 1]], 401/3251404800],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 7/2764800],
[[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 11/11612160],
[[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 133/179159040],
[[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 2941/2090188800],
[[[2, 9], [4, 1], [6, 3], [8, 1], [12, 1]], 1/19906560],
[[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 31/33177600],
[[[2, 9], [4, 1], [8, 1], [10, 1], [18, 1]], 1/29030400],
[[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 47/12441600],
[[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 223/116121600],
[[[2, 9], [4, 2], [6, 1], [12, 1], [14, 1]], 1/30965760],
[[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 13/154828800],
[[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 1/4423680],
[[[2, 9], [6, 1], [10, 1], [12, 1], [14, 1]], 401/541900800],
[[[2, 11], [3, 2], [4, 1], [6, 2], [8, 1]], 1/10032906240],
[[[2, 11], [3, 2], [4, 2], [6, 1], [10, 1]], 1/5573836800],
[[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 13/278691840],
[[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/278691840],
[[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 691/4180377600],
[[[2, 11], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1672151040],
[[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 1/928972800],
[[[2, 13], [3, 2], [4, 1], [6, 1], [8, 1]], 1/4414478745600],
[[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 43/16721510400],
[[[2, 13], [4, 1], [6, 1], [8, 1], [12, 1]], 1/735746457600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [11, 1], [12, 2]], 1/6336],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [11, 1]], 1/1216512],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 3], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 5], [12, 1]], 1/2985984],
[[[1, 1], [2, 2], [3, 1], [4, 3], [11, 1], [12, 1]], 1/202752],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [18, 2]], 1/23328],
[[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [11, 1]], 1/76032],
[[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [22, 1]], 1/684288],
[[[1, 1], [2, 2], [3, 1], [6, 5], [8, 1], [18, 1]], 1/1679616],
[[[1, 1], [2, 2], [3, 1], [8, 1], [18, 1], [22, 1]], 1/9504],
[[[1, 1], [2, 2], [3, 2], [4, 1], [9, 2], [10, 1]], 1/19440],
[[[1, 1], [2, 2], [3, 2], [4, 1], [9, 2], [12, 1]], 1/11664],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 3]], 1/6912],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [22, 1]], 1/304128],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [12, 2]], 1/41472],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 4], [18, 1]], 1/746496],
[[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [22, 1]], 1/1216512],
[[[1, 1], [2, 2], [3, 2], [4, 3], [6, 3], [18, 1]], 1/2985984],
[[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [12, 2]], 1/221184],
[[[1, 1], [2, 2], [3, 2], [4, 4], [6, 3], [12, 1]], 1/1327104],
[[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [9, 2]], 1/23328],
[[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [14, 2]], 1/70560],
[[[1, 1], [2, 2], [3, 2], [6, 1], [14, 1], [22, 1]], 1/22176],
[[[1, 1], [2, 2], [3, 2], [6, 3], [14, 1], [18, 1]], 1/54432],
[[[1, 1], [2, 2], [3, 3], [4, 1], [9, 1], [12, 2]], 1/15552],
[[[1, 1], [2, 2], [3, 3], [4, 1], [10, 1], [11, 1]], 1/570240],
[[[1, 1], [2, 2], [3, 3], [4, 1], [11, 1], [12, 1]], 1/342144],
[[[1, 1], [2, 2], [3, 3], [4, 3], [5, 1], [7, 1]], 1/34836480],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 2], [9, 1]], 1/2985984],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 3], [12, 1]], 1/165888],
[[[1, 1], [2, 2], [3, 3], [4, 3], [9, 1], [12, 1]], 1/497664],
[[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [11, 1]], 1/684288],
[[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [22, 1]], 1/76032],
[[[1, 1], [2, 2], [3, 3], [6, 3], [8, 1], [9, 1]], 1/186624],
[[[1, 1], [2, 2], [3, 3], [6, 3], [8, 1], [18, 1]], 1/186624],
[[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [12, 2]], 1/373248],
[[[1, 1], [2, 2], [3, 4], [4, 4], [6, 1], [12, 1]], 1/11943936],
[[[1, 1], [2, 2], [3, 5], [4, 1], [9, 1], [10, 1]], 1/1399680],
[[[1, 1], [2, 2], [3, 5], [4, 1], [9, 1], [12, 1]], 1/839808],
[[[1, 1], [2, 2], [3, 5], [4, 3], [6, 1], [12, 1]], 1/2985984],
[[[1, 1], [2, 2], [3, 5], [6, 1], [8, 1], [9, 1]], 1/1679616],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [18, 2]], 1/19440],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 3], [22, 1]], 1/570240],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 5], [18, 1]], 1/1399680],
[[[1, 1], [2, 2], [4, 1], [5, 1], [18, 1], [22, 1]], 1/7920],
[[[1, 1], [2, 2], [4, 1], [6, 1], [12, 2], [22, 1]], 1/6336],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 1/31104],
[[[1, 1], [2, 2], [4, 1], [6, 2], [12, 1], [18, 2]], 1/11664],
[[[1, 1], [2, 2], [4, 1], [6, 3], [8, 1], [22, 1]], 1/912384],
[[[1, 1], [2, 2], [4, 1], [6, 3], [12, 1], [22, 1]], 1/342144],
[[[1, 1], [2, 2], [4, 1], [6, 3], [12, 2], [18, 1]], 1/15552],
[[[1, 1], [2, 2], [4, 1], [6, 5], [8, 1], [18, 1]], 1/2239488],
[[[1, 1], [2, 2], [4, 1], [6, 5], [12, 1], [18, 1]], 1/839808],
[[[1, 1], [2, 2], [4, 1], [8, 1], [18, 1], [22, 1]], 1/12672],
[[[1, 1], [2, 2], [4, 1], [9, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 1], [2, 2], [4, 1], [9, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 1], [2, 2], [4, 1], [12, 1], [18, 1], [22, 1]], 1/4752],
[[[1, 1], [2, 2], [4, 2], [6, 1], [18, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 2], [4, 2], [6, 2], [12, 1], [22, 1]], 1/50688],
[[[1, 1], [2, 2], [4, 2], [6, 4], [10, 1], [14, 1]], 1/8709120],
[[[1, 1], [2, 2], [4, 2], [6, 4], [12, 1], [18, 1]], 1/124416],
[[[1, 1], [2, 2], [4, 3], [5, 1], [7, 1], [9, 1]], 1/483840],
[[[1, 1], [2, 2], [4, 3], [6, 1], [12, 1], [22, 1]], 1/202752],
[[[1, 1], [2, 2], [4, 3], [6, 3], [10, 1], [14, 1]], 1/34836480],
[[[1, 1], [2, 2], [4, 3], [6, 3], [12, 1], [18, 1]], 1/497664],
[[[1, 1], [2, 2], [4, 3], [10, 1], [14, 1], [18, 1]], 1/483840],
[[[1, 1], [2, 2], [6, 1], [8, 1], [9, 1], [11, 1]], 1/9504],
[[[1, 1], [2, 2], [6, 1], [10, 1], [12, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 2], [6, 1], [12, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 1], [2, 2], [6, 3], [12, 1], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/93312],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [11, 1]], 1/304128],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [22, 1]], 1/2737152],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [12, 2]], 1/41472],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [18, 1]], 1/6718464],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [8, 1]], 1/8957952],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 1/2239488],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 4], [3, 1], [4, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 1], [2, 4], [3, 1], [4, 1], [18, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [22, 1]], 1/50688],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [18, 1]], 1/93312],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 5], [10, 1]], 1/7464960],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 5], [12, 1]], 1/497664],
[[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [22, 1]], 7/101376],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [11, 1]], 1/608256],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [22, 1]], 1/50688],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 65/442368],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [18, 1]], 1/124416],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 4], [12, 1]], 49/23887872],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [8, 1]], 1/3538944],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/147456],
[[[1, 1], [2, 4], [3, 1], [4, 5], [8, 1], [12, 1]], 1/589824],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [18, 2]], 1/46656],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 4], [3, 1], [6, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 1], [2, 4], [3, 1], [6, 1], [18, 1], [22, 1]], 1/4752],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [11, 1]], 17/608256],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [22, 1]], 1/114048],
[[[1, 1], [2, 4], [3, 1], [6, 2], [12, 1], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [10, 2]], 1/6220800],
[[[1, 1], [2, 4], [3, 1], [6, 3], [14, 1], [18, 1]], 1/6804],
[[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [14, 1]], 1/2612736],
[[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [18, 1]], 5/1119744],
[[[1, 1], [2, 4], [3, 1], [6, 4], [10, 1], [14, 1]], 1/362880],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 4], [3, 1], [6, 5], [8, 1], [10, 1]], 1/5598720],
[[[1, 1], [2, 4], [3, 1], [6, 5], [8, 1], [12, 1]], 1/2239488],
[[[1, 1], [2, 4], [3, 1], [8, 1], [10, 1], [22, 1]], 1/10560],
[[[1, 1], [2, 4], [3, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 4], [3, 1], [8, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 1], [2, 4], [3, 1], [8, 1], [11, 1], [12, 1]], 1/101376],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 5]], 1/11197440],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [9, 2]], 1/93312],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [22, 1]], 1/50688],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [12, 2]], 1/41472],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [18, 1]], 1/124416],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [8, 1]], 1/17915904],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [12, 1]], 7/1679616],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [22, 1]], 7/2433024],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [10, 2]], 1/1382400],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [12, 2]], 41/165888],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [14, 1]], 1/580608],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [18, 1]], 23/5971968],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 4], [10, 1]], 1/2488320],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 4], [12, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [10, 2]], 1/11059200],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [12, 2]], 1/16384],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [9, 1]], 1/995328],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [14, 1]], 1/663552],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [18, 1]], 1/5971968],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [8, 1]], 1/663552],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [10, 1]], 7/9953280],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [12, 1]], 1/98304],
[[[1, 1], [2, 4], [3, 2], [4, 4], [6, 2], [12, 1]], 1/165888],
[[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [22, 1]], 1/202752],
[[[1, 1], [2, 4], [3, 2], [6, 1], [10, 1], [22, 1]], 1/42240],
[[[1, 1], [2, 4], [3, 2], [6, 1], [10, 2], [14, 1]], 1/57600],
[[[1, 1], [2, 4], [3, 2], [6, 2], [14, 1], [18, 1]], 1/27216],
[[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [9, 1]], 1/62208],
[[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [18, 1]], 1/497664],
[[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [14, 1]], 1/145152],
[[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [10, 2]], 1/1036800],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [11, 1]], 1/2737152],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [22, 1]], 1/304128],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [12, 2]], 1/13824],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [9, 1]], 1/746496],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [18, 1]], 1/746496],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [8, 1]], 1/995328],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [10, 1]], 1/414720],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [12, 1]], 1/62208],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [8, 2]], 1/1990656],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [12, 2]], 1/20736],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 3], [10, 1]], 1/829440],
[[[1, 1], [2, 4], [3, 3], [4, 3], [5, 1], [10, 1]], 1/19906560],
[[[1, 1], [2, 4], [3, 3], [4, 3], [6, 1], [9, 1]], 1/1492992],
[[[1, 1], [2, 4], [3, 3], [4, 3], [6, 2], [12, 1]], 19/2654208],
[[[1, 1], [2, 4], [3, 3], [4, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 1], [2, 4], [3, 3], [4, 3], [8, 1], [12, 1]], 1/995328],
[[[1, 1], [2, 4], [3, 3], [4, 4], [6, 1], [12, 1]], 1/663552],
[[[1, 1], [2, 4], [3, 3], [5, 1], [7, 1], [8, 1]], 1/17418240],
[[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [10, 2]], 1/691200],
[[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [9, 1]], 17/1492992],
[[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [14, 1]], 1/290304],
[[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [18, 1]], 1/373248],
[[[1, 1], [2, 4], [3, 3], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 4], [3, 3], [6, 3], [8, 1], [10, 1]], 1/622080],
[[[1, 1], [2, 4], [3, 3], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 1], [2, 4], [3, 3], [8, 1], [9, 1], [12, 1]], 1/248832],
[[[1, 1], [2, 4], [3, 4], [4, 1], [6, 3], [12, 1]], 1/2239488],
[[[1, 1], [2, 4], [3, 4], [4, 2], [6, 2], [12, 1]], 1/995328],
[[[1, 1], [2, 4], [3, 4], [4, 3], [6, 1], [12, 1]], 1/884736],
[[[1, 1], [2, 4], [3, 5], [4, 1], [6, 1], [9, 1]], 1/6718464],
[[[1, 1], [2, 4], [3, 5], [4, 1], [6, 2], [10, 1]], 1/3732480],
[[[1, 1], [2, 4], [3, 5], [4, 1], [6, 2], [12, 1]], 1/746496],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [18, 2]], 1/38880],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [22, 1]], 1/95040],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [10, 2]], 1/5184000],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 4], [14, 1]], 1/2177280],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 4], [18, 1]], 1/186624],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 5], [10, 1]], 1/4665600],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 5], [12, 1]], 1/1866240],
[[[1, 1], [2, 4], [4, 1], [5, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 1], [2, 4], [4, 1], [5, 1], [10, 1], [22, 1]], 1/8800],
[[[1, 1], [2, 4], [4, 1], [5, 1], [10, 2], [14, 1]], 1/28000],
[[[1, 1], [2, 4], [4, 1], [5, 1], [10, 2], [18, 1]], 1/72000],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [18, 2]], 1/15552],
[[[1, 1], [2, 4], [4, 1], [6, 1], [9, 1], [11, 1]], 1/38016],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [12, 2]], 1/57600],
[[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 2]], 1/9408],
[[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [18, 2]], 1/23328],
[[[1, 1], [2, 4], [4, 1], [6, 1], [18, 1], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [18, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 1], [6, 2], [12, 1], [22, 1]], 31/228096],
[[[1, 1], [2, 4], [4, 1], [6, 2], [12, 2], [14, 1]], 1/24192],
[[[1, 1], [2, 4], [4, 1], [6, 2], [12, 2], [18, 1]], 1/31104],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/4147200],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [12, 2]], 1/51840],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 2], [12, 1]], 1/3110400],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 5/1741824],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [14, 1]], 1/622080],
[[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [14, 1]], 1/1306368],
[[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [18, 1]], 1/17496],
[[[1, 1], [2, 4], [4, 1], [6, 5], [8, 1], [10, 1]], 1/7464960],
[[[1, 1], [2, 4], [4, 1], [6, 5], [8, 1], [12, 1]], 1/2985984],
[[[1, 1], [2, 4], [4, 1], [6, 5], [10, 1], [12, 1]], 1/2799360],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [18, 1]], 1/57600],
[[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [14, 1]], 1/35840],
[[[1, 1], [2, 4], [4, 1], [10, 1], [12, 1], [22, 1]], 1/5280],
[[[1, 1], [2, 4], [4, 1], [10, 2], [12, 1], [14, 1]], 1/16800],
[[[1, 1], [2, 4], [4, 1], [10, 2], [12, 1], [18, 1]], 1/43200],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 4], [10, 1]], 1/4976640],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [22, 1]], 1/33792],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [9, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [22, 1]], 1/21120],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 1/172800],
[[[1, 1], [2, 4], [4, 2], [6, 1], [12, 1], [22, 1]], 7/405504],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 1/230400],
[[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/36288],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [14, 1]], 1/2322432],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [18, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [14, 1]], 199/69672960],
[[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [18, 1]], 7/311040],
[[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 23/995328],
[[[1, 1], [2, 4], [4, 2], [6, 4], [8, 1], [10, 1]], 1/4976640],
[[[1, 1], [2, 4], [4, 2], [6, 4], [10, 1], [12, 1]], 1/414720],
[[[1, 1], [2, 4], [4, 2], [8, 1], [14, 1], [18, 1]], 1/32256],
[[[1, 1], [2, 4], [4, 2], [10, 1], [14, 1], [18, 1]], 1/138240],
[[[1, 1], [2, 4], [4, 3], [5, 1], [6, 2], [18, 1]], 1/207360],
[[[1, 1], [2, 4], [4, 3], [5, 1], [9, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 4], [4, 3], [5, 1], [10, 1], [14, 1]], 1/268800],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 2], [12, 1]], 1/1843200],
[[[1, 1], [2, 4], [4, 3], [6, 1], [14, 1], [18, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [18, 1]], 5/331776],
[[[1, 1], [2, 4], [4, 3], [6, 2], [10, 1], [14, 1]], 1/5806080],
[[[1, 1], [2, 4], [4, 3], [6, 2], [10, 1], [18, 1]], 1/124416],
[[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [14, 1]], 1/110592],
[[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [18, 1]], 1/110592],
[[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 4], [4, 3], [6, 3], [10, 1], [12, 1]], 7/1658880],
[[[1, 1], [2, 4], [4, 3], [8, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 4], [4, 3], [8, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/1290240],
[[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [14, 1]], 1/362880],
[[[1, 1], [2, 4], [5, 1], [7, 1], [8, 1], [9, 1]], 1/241920],
[[[1, 1], [2, 4], [5, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 1], [2, 4], [6, 1], [8, 1], [12, 1], [22, 1]], 1/33792],
[[[1, 1], [2, 4], [6, 1], [10, 1], [12, 1], [22, 1]], 1/7040],
[[[1, 1], [2, 4], [6, 1], [10, 2], [12, 1], [14, 1]], 1/9600],
[[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 29/90720],
[[[1, 1], [2, 4], [6, 2], [12, 1], [14, 1], [18, 1]], 1/4536],
[[[1, 1], [2, 4], [6, 3], [8, 1], [10, 1], [14, 1]], 1/5806080],
[[[1, 1], [2, 4], [6, 3], [8, 1], [12, 1], [18, 1]], 1/82944],
[[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 4], [8, 1], [10, 1], [14, 1], [18, 1]], 1/80640],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/14112],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [18, 2]], 1/186624],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [11, 1]], 161/24330240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [22, 1]], 13/456192],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/24883200],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [12, 2]], 1/663552],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 17/10450944],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 53/4478976],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 5/4478976],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [10, 1]], 1/22394880],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 101/35831808],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 1], [22, 1]], 1/14080],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/19200],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [18, 1]], 1/345600],
[[[1, 1], [2, 6], [3, 1], [4, 1], [11, 1], [12, 1]], 1/4055040],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [22, 1]], 1/45056],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 17/1769472],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/92160],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 5/580608],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/62208],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [8, 1]], 7/17915904],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 337/59719680],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/442368],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 2]], 7/921600],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 2], [12, 1]], 1/294912],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 1/193536],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [18, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 5/2654208],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 89/3981312],
[[[1, 1], [2, 6], [3, 1], [4, 3], [10, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1105920],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 1/1769472],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/1179648],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [11, 1]], 1/304128],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [22, 1]], 1/228096],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [22, 1]], 1/4224],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/4480],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 2]], 13/1036800],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 2], [12, 1]], 1/28800],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/6804],
[[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 121/52254720],
[[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [18, 1]], 1/209952],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 11/120960],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 11/77760],
[[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [14, 1]], 5/72576],
[[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [18, 1]], 1/31104],
[[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [10, 1]], 37/22394880],
[[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [12, 1]], 1/1119744],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 1], [12, 1]], 7/207360],
[[[1, 1], [2, 6], [3, 1], [8, 1], [14, 1], [18, 1]], 1/725760],
[[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 4]], 1/5598720],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [22, 1]], 1/540672],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 2]], 1/276480],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [12, 2]], 1/165888],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [9, 1]], 1/248832],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [14, 1]], 1/96768],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [18, 1]], 19/3981312],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [8, 1]], 11/4478976],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [12, 1]], 251/26873856],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [8, 2]], 1/1769472],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [10, 2]], 1/2764800],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [12, 2]], 7/1474560],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [14, 1]], 31/23224320],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [18, 1]], 5/5971968],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [8, 1]], 1/1327104],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [10, 1]], 7/6635520],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [12, 1]], 109/2949120],
[[[1, 1], [2, 6], [3, 2], [4, 3], [6, 1], [14, 1]], 1/5806080],
[[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [8, 1]], 1/2654208],
[[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [10, 1]], 1/2488320],
[[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [12, 1]], 1/49152],
[[[1, 1], [2, 6], [3, 2], [5, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 6], [3, 2], [5, 1], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [10, 2]], 1/1843200],
[[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [9, 1]], 1/497664],
[[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [14, 1]], 1/774144],
[[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [18, 1]], 1/995328],
[[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [14, 1]], 221/11612160],
[[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 6], [3, 2], [6, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 1], [2, 6], [3, 3], [4, 1], [5, 1], [7, 1]], 1/696729600],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [10, 2]], 1/2764800],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [12, 2]], 1/663552],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [9, 1]], 161/59719680],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [14, 1]], 1/1161216],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [18, 1]], 1/1492992],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [10, 1]], 13/2488320],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [12, 1]], 55/1990656],
[[[1, 1], [2, 6], [3, 3], [4, 1], [9, 1], [12, 1]], 1/9953280],
[[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [10, 1]], 1/6635520],
[[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [12, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 3], [4, 3], [6, 1], [8, 1]], 1/7962624],
[[[1, 1], [2, 6], [3, 3], [5, 1], [8, 1], [10, 1]], 1/9953280],
[[[1, 1], [2, 6], [3, 3], [6, 1], [8, 1], [9, 1]], 1/746496],
[[[1, 1], [2, 6], [3, 3], [6, 1], [8, 1], [14, 1]], 1/5806080],
[[[1, 1], [2, 6], [3, 3], [6, 2], [8, 1], [10, 1]], 1/2488320],
[[[1, 1], [2, 6], [3, 3], [6, 2], [8, 1], [12, 1]], 1/663552],
[[[1, 1], [2, 6], [3, 4], [4, 1], [6, 2], [12, 1]], 1/8957952],
[[[1, 1], [2, 6], [3, 4], [4, 2], [6, 1], [12, 1]], 7/79626240],
[[[1, 1], [2, 6], [3, 5], [4, 1], [6, 1], [12, 1]], 1/35831808],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [22, 1]], 1/190080],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 13/864000],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 121/43545600],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [18, 1]], 1/174960],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [10, 1]], 37/18662400],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [12, 1]], 1/933120],
[[[1, 1], [2, 6], [4, 1], [5, 1], [7, 1], [9, 1]], 1/9676800],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 1], [2, 6], [4, 1], [5, 1], [14, 1], [18, 1]], 1/604800],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [22, 1]], 7/304128],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [18, 1]], 1/55296],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/9600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 1/34560],
[[[1, 1], [2, 6], [4, 1], [6, 1], [12, 1], [22, 1]], 145/7299072],
[[[1, 1], [2, 6], [4, 1], [6, 1], [12, 2], [14, 1]], 1/483840],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 29/1382400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [12, 2]], 1/207360],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 97/2073600],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/8064],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1591/69672960],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 43/1119744],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 293/27869184],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 13/155520],
[[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1741/26127360],
[[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 2051/53747712],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 139/29859840],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [12, 1]], 11/746496],
[[[1, 1], [2, 6], [4, 1], [6, 4], [10, 1], [12, 1]], 253/11197440],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 1], [18, 1]], 31/967680],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 1], [18, 1]], 121/1935360],
[[[1, 1], [2, 6], [4, 1], [12, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 49/39813120],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [18, 1]], 1/552960],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1/61440],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/294912],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 1/460800],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 37/967680],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 157/5806080],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 41/829440],
[[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 31/3870720],
[[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 5/995328],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 49/9953280],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [12, 1]], 1/221184],
[[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 7/1105920],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [18, 1]], 1/414720],
[[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [10, 1]], 1/691200],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [9, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 5/258048],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/41472],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 11/2488320],
[[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [18, 1]], 1/248832],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 13/1105920],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/442368],
[[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 1/207360],
[[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [10, 1]], 1/737280],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 1/737280],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 2], [12, 1]], 1/38400],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [18, 1]], 1/51840],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 6], [5, 1], [8, 1], [9, 1], [10, 1]], 1/138240],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 2], [12, 1]], 1/307200],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/10752],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 701/1451520],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 61/967680],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [6, 2], [8, 1], [12, 1], [14, 1]], 1/129024],
[[[1, 1], [2, 6], [6, 2], [8, 1], [12, 1], [18, 1]], 1/165888],
[[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [14, 1]], 221/1935360],
[[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 6], [6, 3], [8, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [11, 1]], 1/12165120],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [22, 1]], 5/1824768],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 49/4147200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [12, 2]], 1/185794560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 2201/209018880],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 97/13436928],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 601/358318080],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 349/89579520],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 643/371589120],
[[[1, 1], [2, 8], [3, 1], [4, 1], [14, 1], [18, 1]], 1/2903040],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 1/884736],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 7/1228800],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 221/23224320],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 49/9953280],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 7/8957952],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 83/9953280],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3317760],
[[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [14, 1]], 1/1105920],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [18, 1]], 1/995328],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 643/212336640],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 1/829440],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 67/23887872],
[[[1, 1], [2, 8], [3, 1], [4, 3], [8, 1], [12, 1]], 1/11796480],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/8847360],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 7/2073600],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 1], [18, 1]], 1/272160],
[[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 11/8709120],
[[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [18, 1]], 133/134369280],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 31/276480],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 77/1244160],
[[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [14, 1]], 1/362880],
[[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 2941/1567641600],
[[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [12, 1]], 1/14929920],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 1], [12, 1]], 17/1658880],
[[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 31/24883200],
[[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [18, 1]], 1/21772800],
[[[1, 1], [2, 8], [3, 2], [4, 1], [5, 1], [6, 3]], 1/74649600],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [10, 2]], 41/44236800],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [12, 2]], 1/26542080],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [9, 1]], 1/19906560],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [14, 1]], 37/30965760],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [18, 1]], 1/2654208],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [8, 1]], 61/119439360],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [10, 1]], 5/2654208],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [12, 1]], 2921/1433272320],
[[[1, 1], [2, 8], [3, 2], [4, 2], [6, 1], [14, 1]], 17/185794560],
[[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [8, 1]], 1/13271040],
[[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [10, 1]], 181/928972800],
[[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1/552960],
[[[1, 1], [2, 8], [3, 2], [4, 3], [6, 1], [8, 1]], 1/42467328],
[[[1, 1], [2, 8], [3, 2], [4, 3], [6, 1], [10, 1]], 53/1393459200],
[[[1, 1], [2, 8], [3, 2], [5, 1], [6, 2], [10, 1]], 1/6635520],
[[[1, 1], [2, 8], [3, 2], [6, 1], [8, 1], [14, 1]], 1/15482880],
[[[1, 1], [2, 8], [3, 2], [6, 1], [10, 1], [14, 1]], 5819/3251404800],
[[[1, 1], [2, 8], [3, 2], [6, 2], [8, 1], [10, 1]], 1/6635520],
[[[1, 1], [2, 8], [3, 3], [4, 1], [5, 1], [10, 1]], 1/398131200],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 1], [9, 1]], 1/29859840],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 1], [14, 1]], 1/23224320],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [8, 1]], 1/39813120],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [10, 1]], 1/9953280],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [12, 1]], 67/123863040],
[[[1, 1], [2, 8], [3, 3], [4, 2], [6, 1], [12, 1]], 1/13271040],
[[[1, 1], [2, 8], [3, 3], [6, 1], [8, 1], [10, 1]], 1/174182400],
[[[1, 1], [2, 8], [3, 4], [4, 1], [6, 1], [12, 1]], 1/1433272320],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 7/1728000],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 11/7257600],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [18, 1]], 133/111974400],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 2941/1306368000],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [12, 1]], 1/12441600],
[[[1, 1], [2, 8], [4, 1], [5, 1], [9, 1], [10, 1]], 1/5529600],
[[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 31/20736000],
[[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [18, 1]], 1/18144000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 1/21600],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [12, 2]], 1/14515200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 817/66355200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 13/430080],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 97/5806080],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1969/179159040],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 2321/23224320],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 47/829440],
[[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 193/19906560],
[[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 2279/537477120],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 53887/2090188800],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [12, 1]], 61/19906560],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 94403/6270566400],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 6949/232243200],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [18, 1]], 127/29030400],
[[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 31/12441600],
[[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [18, 1]], 1/10886400],
[[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 17/6635520],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 73/7741440],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 11/1658880],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 557/21772800],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 199/12902400],
[[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 17/30965760],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 37/3317760],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2211840],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 181/154828800],
[[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2764800],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 31/4423680],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/7077888],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 193/232243200],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 23/552960],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 19/829440],
[[[1, 1], [2, 8], [6, 1], [8, 1], [12, 1], [14, 1]], 1/2580480],
[[[1, 1], [2, 8], [6, 1], [10, 1], [12, 1], [14, 1]], 5819/541900800],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 41/16588800],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 23/17418240],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 55/94058496],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 289/716636160],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 12601/6270566400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 107/1003290624],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 641/609638400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [18, 1]], 1/87091200],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/2654208],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [18, 1]], 1/119439360],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 7/119439360],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1487/836075520],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 1/159252480],
[[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 1/33177600],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/21233664],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 37/232243200],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 197/6688604160],
[[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 13/209018880],
[[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [18, 1]], 1/209018880],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1327/325140480],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [18, 1]], 89/348364800],
[[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 691/3135283200],
[[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [12, 1]], 1/1254113280],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 1], [12, 1]], 89/464486400],
[[[1, 1], [2, 10], [3, 2], [4, 1], [5, 1], [6, 2]], 1/6270566400],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 1], [14, 1]], 1/36126720],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [8, 1]], 199/10032906240],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [10, 1]], 1/6635520],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [12, 1]], 193/15049359360],
[[[1, 1], [2, 10], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1486356480],
[[[1, 1], [2, 10], [3, 2], [4, 2], [6, 1], [10, 1]], 1/199065600],
[[[1, 1], [2, 10], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1857945600],
[[[1, 1], [2, 10], [3, 2], [6, 1], [8, 1], [10, 1]], 1/464486400],
[[[1, 1], [2, 10], [3, 3], [4, 1], [6, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 13/174182400],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [18, 1]], 1/174182400],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 691/2612736000],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1045094400],
[[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/132710400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 7/3981312],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 113/418037760],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 6679/348364800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 5/663552],
[[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 85/292626432],
[[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [18, 1]], 1/104509440],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 27943/4180377600],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [12, 1]], 199/1672151040],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 4217/3135283200],
[[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 19/99532800],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 983/557383680],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [12, 1]], 1/247726080],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 1/33177600],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 1], [12, 1]], 1/309657600],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 1], [12, 1]], 1/77414400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 121/2926264320],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/418037760],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 13/1254113280],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 989/6270566400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [12, 1]], 17/20065812480],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1433272320],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 137/4180377600],
[[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 43/12541132800],
[[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [12, 1]], 1/551809843200],
[[[1, 1], [2, 12], [3, 2], [4, 1], [5, 1], [6, 1]], 1/2759049216000],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [8, 1]], 629/8828957491200],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [12, 1]], 1/1655429529600],
[[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 43/10450944000],
[[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [12, 1]], 1/459841536000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 5977/16721510400],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [12, 1]], 629/1471492915200],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 97/6270566400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/27590492160],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 1/447897600],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [12, 1]], 1/588597166080],
[[[1, 2], [2, 1], [3, 1], [4, 1], [11, 1], [12, 2]], 1/6336],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 3]], 1/6912],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [12, 2]], 1/373248],
[[[1, 2], [2, 1], [3, 1], [4, 2], [9, 1], [11, 1]], 1/38016],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 2], [11, 1]], 1/1216512],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 3], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 5], [12, 1]], 1/2985984],
[[[1, 2], [2, 1], [3, 1], [4, 3], [11, 1], [12, 1]], 1/202752],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [12, 2]], 1/221184],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 4], [12, 1]], 1/11943936],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [7, 2]], 1/70560],
[[[1, 2], [2, 1], [3, 1], [5, 1], [7, 2], [12, 1]], 1/11760],
[[[1, 2], [2, 1], [3, 1], [6, 2], [7, 1], [11, 1]], 1/22176],
[[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [18, 2]], 1/23328],
[[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [11, 1]], 1/76032],
[[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [22, 1]], 1/684288],
[[[1, 2], [2, 1], [3, 1], [6, 5], [8, 1], [18, 1]], 1/1679616],
[[[1, 2], [2, 1], [3, 1], [7, 1], [11, 1], [12, 1]], 1/3696],
[[[1, 2], [2, 1], [3, 1], [8, 1], [18, 1], [22, 1]], 1/9504],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 1/31104],
[[[1, 2], [2, 1], [3, 2], [4, 1], [9, 2], [10, 1]], 1/19440],
[[[1, 2], [2, 1], [3, 2], [4, 1], [9, 2], [12, 1]], 1/11664],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [11, 1]], 1/304128],
[[[1, 2], [2, 1], [3, 2], [4, 2], [11, 1], [12, 1]], 1/50688],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [22, 1]], 1/1216512],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 3], [18, 1]], 1/2985984],
[[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [9, 2]], 1/23328],
[[[1, 2], [2, 1], [3, 3], [4, 1], [8, 1], [11, 1]], 1/912384],
[[[1, 2], [2, 1], [3, 3], [4, 1], [9, 1], [12, 2]], 1/15552],
[[[1, 2], [2, 1], [3, 3], [4, 1], [10, 1], [11, 1]], 1/570240],
[[[1, 2], [2, 1], [3, 3], [4, 1], [11, 1], [12, 1]], 1/342144],
[[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [12, 2]], 1/41472],
[[[1, 2], [2, 1], [3, 3], [4, 3], [5, 1], [7, 1]], 1/34836480],
[[[1, 2], [2, 1], [3, 3], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [3, 3], [4, 3], [6, 2], [9, 1]], 1/2985984],
[[[1, 2], [2, 1], [3, 3], [4, 3], [6, 3], [12, 1]], 1/165888],
[[[1, 2], [2, 1], [3, 3], [4, 3], [9, 1], [12, 1]], 1/497664],
[[[1, 2], [2, 1], [3, 3], [4, 4], [6, 2], [12, 1]], 1/1327104],
[[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [11, 1]], 1/684288],
[[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [22, 1]], 1/76032],
[[[1, 2], [2, 1], [3, 3], [6, 2], [7, 1], [9, 1]], 1/54432],
[[[1, 2], [2, 1], [3, 3], [6, 3], [8, 1], [9, 1]], 1/186624],
[[[1, 2], [2, 1], [3, 3], [6, 3], [8, 1], [18, 1]], 1/186624],
[[[1, 2], [2, 1], [3, 3], [7, 1], [9, 1], [12, 1]], 1/9072],
[[[1, 2], [2, 1], [3, 4], [4, 2], [5, 1], [7, 1]], 1/8709120],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 2], [9, 1]], 1/746496],
[[[1, 2], [2, 1], [3, 4], [4, 2], [9, 1], [12, 1]], 1/124416],
[[[1, 2], [2, 1], [3, 5], [4, 1], [8, 1], [9, 1]], 1/2239488],
[[[1, 2], [2, 1], [3, 5], [4, 1], [9, 1], [10, 1]], 1/1399680],
[[[1, 2], [2, 1], [3, 5], [4, 1], [9, 1], [12, 1]], 1/839808],
[[[1, 2], [2, 1], [3, 5], [4, 3], [6, 1], [12, 1]], 1/2985984],
[[[1, 2], [2, 1], [3, 5], [6, 1], [8, 1], [9, 1]], 1/1679616],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [18, 2]], 1/19440],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 3], [22, 1]], 1/570240],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 5], [18, 1]], 1/1399680],
[[[1, 2], [2, 1], [4, 1], [5, 1], [18, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 1], [4, 1], [6, 1], [12, 2], [22, 1]], 1/6336],
[[[1, 2], [2, 1], [4, 1], [6, 2], [12, 1], [18, 2]], 1/11664],
[[[1, 2], [2, 1], [4, 1], [6, 3], [12, 1], [22, 1]], 1/342144],
[[[1, 2], [2, 1], [4, 1], [6, 3], [12, 2], [18, 1]], 1/15552],
[[[1, 2], [2, 1], [4, 1], [6, 5], [12, 1], [18, 1]], 1/839808],
[[[1, 2], [2, 1], [4, 1], [8, 1], [9, 1], [11, 1]], 1/12672],
[[[1, 2], [2, 1], [4, 1], [9, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 2], [2, 1], [4, 1], [9, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 2], [2, 1], [4, 1], [12, 1], [18, 1], [22, 1]], 1/4752],
[[[1, 2], [2, 1], [4, 3], [5, 1], [7, 1], [9, 1]], 1/483840],
[[[1, 2], [2, 1], [4, 3], [6, 1], [12, 1], [22, 1]], 1/202752],
[[[1, 2], [2, 1], [4, 3], [6, 3], [10, 1], [14, 1]], 1/34836480],
[[[1, 2], [2, 1], [4, 3], [6, 3], [12, 1], [18, 1]], 1/497664],
[[[1, 2], [2, 1], [4, 3], [10, 1], [14, 1], [18, 1]], 1/483840],
[[[1, 2], [2, 1], [6, 1], [8, 1], [9, 1], [11, 1]], 1/9504],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 6]], 1/5598720],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [12, 2]], 1/57600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/31104],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [11, 1]], 1/101376],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [22, 1]], 1/912384],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 2]], 1/1492992],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [12, 2]], 5/124416],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [18, 1]], 1/2239488],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 6], [8, 1]], 1/8957952],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 6], [12, 1]], 5/6718464],
[[[1, 2], [2, 3], [3, 1], [4, 1], [9, 2], [10, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 1], [4, 1], [9, 2], [12, 1]], 1/7776],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 2], [2, 3], [3, 1], [4, 1], [18, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [22, 1]], 1/10560],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [11, 1]], 1/90112],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [22, 1]], 1/38016],
[[[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]], 31/248832],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [18, 1]], 5/373248],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [10, 1]], 1/7464960],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [12, 1]], 1/248832],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [12, 2]], 1/16128],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [22, 1]], 7/101376],
[[[1, 2], [2, 3], [3, 1], [4, 2], [11, 1], [12, 1]], 3/45056],
[[[1, 2], [2, 3], [3, 1], [4, 2], [12, 1], [22, 1]], 1/6336],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [6, 2]], 1/11059200],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [12, 1]], 1/1843200],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [11, 1]], 1/152064],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [22, 1]], 5/202752],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 1/294912],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 71/442368],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [18, 1]], 1/93312],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [10, 1]], 1/29859840],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [12, 1]], 211/23887872],
[[[1, 2], [2, 3], [3, 1], [4, 3], [7, 1], [9, 1]], 1/580608],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/18432],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 1/49152],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [9, 1]], 1/829440],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [7, 1]], 1/3096576],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [18, 1]], 1/497664],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [12, 1]], 1/1990656],
[[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [12, 1]], 1/516096],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [9, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 1], [4, 4], [10, 1], [14, 1]], 1/645120],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 1/3538944],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/147456],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 1/589824],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/884736],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 2]], 1/35280],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [11, 1]], 1/126720],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 4], [7, 1]], 1/725760],
[[[1, 2], [2, 3], [3, 1], [5, 1], [11, 1], [12, 1]], 1/21120],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [7, 1]], 1/403200],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [8, 1]], 1/691200],
[[[1, 2], [2, 3], [3, 1], [5, 2], [7, 1], [12, 1]], 1/67200],
[[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [11, 1]], 1/11088],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 2]], 1/15552],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [18, 2]], 1/11664],
[[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [11, 1]], 1/14256],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [14, 2]], 1/8820],
[[[1, 2], [2, 3], [3, 1], [6, 1], [14, 1], [22, 1]], 1/2772],
[[[1, 2], [2, 3], [3, 1], [6, 1], [18, 1], [22, 1]], 1/3564],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [11, 1]], 71/608256],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [22, 1]], 1/28512],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [11, 1]], 1/63360],
[[[1, 2], [2, 3], [3, 1], [6, 2], [11, 1], [12, 1]], 1/38016],
[[[1, 2], [2, 3], [3, 1], [6, 2], [12, 1], [22, 1]], 1/4752],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [10, 2]], 1/3110400],
[[[1, 2], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 5/27216],
[[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [14, 1]], 1/1306368],
[[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [18, 1]], 1/62208],
[[[1, 2], [2, 3], [3, 1], [6, 4], [10, 1], [14, 1]], 1/326592],
[[[1, 2], [2, 3], [3, 1], [6, 4], [12, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 3], [3, 1], [6, 4], [12, 1], [18, 1]], 1/11664],
[[[1, 2], [2, 3], [3, 1], [6, 5], [8, 1], [10, 1]], 1/5598720],
[[[1, 2], [2, 3], [3, 1], [6, 5], [8, 1], [12, 1]], 1/2239488],
[[[1, 2], [2, 3], [3, 1], [8, 1], [10, 1], [22, 1]], 1/5280],
[[[1, 2], [2, 3], [3, 1], [8, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 3], [3, 1], [8, 1], [10, 2], [18, 1]], 1/43200],
[[[1, 2], [2, 3], [3, 1], [8, 1], [11, 1], [12, 1]], 7/101376],
[[[1, 2], [2, 3], [3, 1], [8, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 3], [3, 1], [10, 1], [11, 1], [12, 1]], 1/10560],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 5]], 1/11197440],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 2]], 1/31104],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [22, 1]], 1/50688],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 7/41472],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [18, 1]], 1/124416],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [8, 1]], 1/5971968],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 23/3359232],
[[[1, 2], [2, 3], [3, 2], [4, 1], [7, 1], [12, 2]], 1/24192],
[[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [12, 2]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [4, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 2], [2, 3], [3, 2], [4, 1], [11, 1], [12, 1]], 1/19008],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [12, 2]], 1/34560],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [11, 1]], 1/152064],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [22, 1]], 1/73728],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 2]], 1/2764800],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [14, 1]], 1/1161216],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [18, 1]], 23/1990656],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 4], [12, 1]], 37/2985984],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 3]], 1/3317760],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [7, 1]], 1/1935360],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [9, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 1/294912],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [10, 2]], 1/5529600],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 11/147456],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [7, 1]], 1/4644864],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [9, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [14, 1]], 1/580608],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [18, 1]], 1/1492992],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [8, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [10, 1]], 7/9953280],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [12, 1]], 1/32768],
[[[1, 2], [2, 3], [3, 2], [4, 3], [7, 1], [12, 1]], 1/774144],
[[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [9, 1]], 1/331776],
[[[1, 2], [2, 3], [3, 2], [4, 3], [9, 1], [12, 1]], 1/331776],
[[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [6, 2]], 1/6635520],
[[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [9, 1]], 1/497664],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [14, 1]], 1/3096576],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [8, 1]], 1/331776],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [10, 1]], 1/6635520],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/24576],
[[[1, 2], [2, 3], [3, 2], [4, 4], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [22, 1]], 1/63360],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [7, 1]], 1/362880],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 4], [8, 1]], 1/207360],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [11, 1]], 1/38016],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [22, 1]], 19/202752],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [9, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [22, 1]], 1/42240],
[[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [14, 1]], 1/80640],
[[[1, 2], [2, 3], [3, 2], [6, 1], [11, 1], [12, 1]], 1/19008],
[[[1, 2], [2, 3], [3, 2], [6, 1], [12, 1], [22, 1]], 1/38016],
[[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [9, 1]], 1/18144],
[[[1, 2], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 2], [6, 3], [7, 1], [8, 1]], 1/290304],
[[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [18, 1]], 73/1492992],
[[[1, 2], [2, 3], [3, 2], [6, 3], [10, 1], [14, 1]], 1/6531840],
[[[1, 2], [2, 3], [3, 2], [6, 3], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 1/93312],
[[[1, 2], [2, 3], [3, 2], [6, 4], [8, 1], [10, 1]], 1/1866240],
[[[1, 2], [2, 3], [3, 2], [6, 4], [8, 1], [12, 1]], 1/124416],
[[[1, 2], [2, 3], [3, 2], [10, 1], [14, 1], [18, 1]], 1/90720],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 4]], 1/622080],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [10, 2]], 1/518400],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [10, 1]], 1/5184000],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [12, 1]], 1/3110400],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [11, 1]], 1/912384],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [22, 1]], 1/101376],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 2]], 1/165888],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [12, 2]], 1/4608],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [9, 1]], 1/248832],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [18, 1]], 1/248832],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [8, 1]], 5/1990656],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [10, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [12, 1]], 1/23328],
[[[1, 2], [2, 3], [3, 3], [4, 2], [5, 1], [7, 1]], 1/2580480],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [8, 2]], 1/1990656],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [12, 2]], 43/248832],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [9, 1]], 17/1990656],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [10, 1]], 1/829440],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 3], [4, 2], [7, 1], [8, 1]], 1/580608],
[[[1, 2], [2, 3], [3, 3], [4, 2], [7, 1], [10, 1]], 1/1451520],
[[[1, 2], [2, 3], [3, 3], [4, 2], [7, 1], [12, 1]], 1/870912],
[[[1, 2], [2, 3], [3, 3], [4, 2], [9, 1], [12, 1]], 1/36864],
[[[1, 2], [2, 3], [3, 3], [4, 3], [5, 1], [10, 1]], 1/9953280],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 1], [9, 1]], 5/1492992],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [10, 1]], 1/3317760],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [12, 1]], 73/2654208],
[[[1, 2], [2, 3], [3, 3], [4, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 2], [2, 3], [3, 3], [4, 3], [8, 1], [12, 1]], 1/995328],
[[[1, 2], [2, 3], [3, 3], [4, 4], [6, 1], [12, 1]], 1/497664],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [7, 1]], 1/6531840],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 2], [2, 3], [3, 3], [5, 1], [7, 1], [8, 1]], 1/2488320],
[[[1, 2], [2, 3], [3, 3], [5, 1], [7, 1], [10, 1]], 1/302400],
[[[1, 2], [2, 3], [3, 3], [5, 1], [9, 1], [12, 1]], 1/51840],
[[[1, 2], [2, 3], [3, 3], [5, 2], [6, 1], [8, 1]], 1/6220800],
[[[1, 2], [2, 3], [3, 3], [6, 1], [7, 1], [9, 1]], 1/27216],
[[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [10, 2]], 1/345600],
[[[1, 2], [2, 3], [3, 3], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [9, 1]], 29/497664],
[[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [14, 1]], 1/145152],
[[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [18, 1]], 1/93312],
[[[1, 2], [2, 3], [3, 3], [6, 2], [9, 1], [10, 1]], 1/155520],
[[[1, 2], [2, 3], [3, 3], [6, 2], [9, 1], [12, 1]], 1/93312],
[[[1, 2], [2, 3], [3, 3], [6, 2], [10, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 3], [3, 3], [6, 3], [8, 1], [10, 1]], 1/622080],
[[[1, 2], [2, 3], [3, 3], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 3], [8, 1], [9, 1], [12, 1]], 7/248832],
[[[1, 2], [2, 3], [3, 3], [9, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [8, 2]], 1/1492992],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [12, 2]], 1/62208],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [8, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 61/2239488],
[[[1, 2], [2, 3], [3, 4], [4, 1], [7, 1], [10, 1]], 1/2177280],
[[[1, 2], [2, 3], [3, 4], [4, 1], [7, 1], [12, 1]], 1/1306368],
[[[1, 2], [2, 3], [3, 4], [4, 1], [9, 1], [10, 1]], 13/933120],
[[[1, 2], [2, 3], [3, 4], [4, 1], [9, 1], [12, 1]], 13/559872],
[[[1, 2], [2, 3], [3, 4], [4, 2], [5, 1], [10, 1]], 13/24883200],
[[[1, 2], [2, 3], [3, 4], [4, 2], [5, 1], [12, 1]], 1/1866240],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [9, 1]], 1/373248],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [12, 1]], 7/995328],
[[[1, 2], [2, 3], [3, 4], [4, 2], [8, 1], [10, 1]], 1/1244160],
[[[1, 2], [2, 3], [3, 4], [4, 2], [8, 1], [12, 1]], 1/746496],
[[[1, 2], [2, 3], [3, 4], [4, 3], [5, 1], [6, 1]], 1/29859840],
[[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [12, 1]], 7/884736],
[[[1, 2], [2, 3], [3, 4], [5, 1], [6, 1], [7, 1]], 1/3265920],
[[[1, 2], [2, 3], [3, 4], [5, 1], [6, 2], [8, 1]], 1/1866240],
[[[1, 2], [2, 3], [3, 4], [6, 1], [7, 1], [8, 1]], 1/2612736],
[[[1, 2], [2, 3], [3, 4], [6, 1], [8, 1], [9, 1]], 13/1119744],
[[[1, 2], [2, 3], [3, 4], [6, 1], [9, 1], [12, 1]], 1/46656],
[[[1, 2], [2, 3], [3, 4], [6, 1], [10, 1], [14, 1]], 1/725760],
[[[1, 2], [2, 3], [3, 4], [6, 2], [8, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 3], [3, 4], [6, 2], [8, 1], [12, 1]], 1/124416],
[[[1, 2], [2, 3], [3, 5], [4, 1], [6, 1], [9, 1]], 1/2239488],
[[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [8, 1]], 1/5971968],
[[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [10, 1]], 1/3732480],
[[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [12, 1]], 1/248832],
[[[1, 2], [2, 3], [3, 5], [4, 2], [6, 1], [12, 1]], 1/497664],
[[[1, 2], [2, 3], [3, 6], [4, 1], [6, 1], [10, 1]], 1/5598720],
[[[1, 2], [2, 3], [3, 6], [4, 1], [6, 1], [12, 1]], 1/3359232],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [18, 2]], 1/9720],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [22, 1]], 1/23760],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 2]], 1/2592000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [14, 1]], 1/1088640],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [18, 1]], 1/51840],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [10, 1]], 1/4665600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [12, 1]], 1/1866240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [22, 1]], 1/7040],
[[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [11, 1]], 1/8800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [22, 1]], 1/4400],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [14, 1]], 1/14000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [18, 1]], 1/36000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [11, 1], [12, 1]], 1/5280],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [10, 1]], 1/1036800],
[[[1, 2], [2, 3], [4, 1], [5, 2], [7, 1], [10, 1]], 1/28000],
[[[1, 2], [2, 3], [4, 1], [5, 2], [7, 1], [12, 1]], 1/16800],
[[[1, 2], [2, 3], [4, 1], [5, 2], [9, 1], [10, 1]], 1/72000],
[[[1, 2], [2, 3], [4, 1], [5, 2], [9, 1], [12, 1]], 1/43200],
[[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [18, 1]], 1/14400],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [18, 2]], 1/20736],
[[[1, 2], [2, 3], [4, 1], [6, 1], [9, 1], [11, 1]], 1/12672],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [12, 2]], 1/28800],
[[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [18, 2]], 1/5832],
[[[1, 2], [2, 3], [4, 1], [6, 1], [18, 1], [22, 1]], 1/6336],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [11, 1]], 1/12672],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/50688],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 1], [6, 2], [12, 1], [22, 1]], 43/228096],
[[[1, 2], [2, 3], [4, 1], [6, 2], [12, 2], [14, 1]], 1/12096],
[[[1, 2], [2, 3], [4, 1], [6, 2], [12, 2], [18, 1]], 1/7776],
[[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [10, 2]], 1/8294400],
[[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [12, 2]], 1/51840],
[[[1, 2], [2, 3], [4, 1], [6, 3], [10, 2], [12, 1]], 1/1555200],
[[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [14, 1]], 1/387072],
[[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 13/1492992],
[[[1, 2], [2, 3], [4, 1], [6, 4], [10, 1], [14, 1]], 1/622080],
[[[1, 2], [2, 3], [4, 1], [6, 4], [12, 1], [14, 1]], 1/653184],
[[[1, 2], [2, 3], [4, 1], [6, 4], [12, 1], [18, 1]], 5/62208],
[[[1, 2], [2, 3], [4, 1], [6, 5], [10, 1], [12, 1]], 1/2799360],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [11, 1]], 1/7040],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 1/14080],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [18, 1]], 1/115200],
[[[1, 2], [2, 3], [4, 1], [8, 1], [11, 1], [12, 1]], 1/4224],
[[[1, 2], [2, 3], [4, 1], [8, 1], [12, 1], [22, 1]], 1/4224],
[[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 3], [4, 1], [10, 1], [12, 1], [22, 1]], 1/2640],
[[[1, 2], [2, 3], [4, 1], [10, 2], [12, 1], [14, 1]], 1/8400],
[[[1, 2], [2, 3], [4, 1], [10, 2], [12, 1], [18, 1]], 1/21600],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 3], [14, 1]], 1/1451520],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 4], [10, 1]], 1/1382400],
[[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [9, 1]], 1/35840],
[[[1, 2], [2, 3], [4, 2], [5, 1], [14, 1], [18, 1]], 1/20160],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [22, 1]], 1/33792],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [9, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [22, 1]], 1/42240],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/134400],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/345600],
[[[1, 2], [2, 3], [4, 2], [6, 1], [11, 1], [12, 1]], 1/6336],
[[[1, 2], [2, 3], [4, 2], [6, 1], [12, 1], [22, 1]], 1/12288],
[[[1, 2], [2, 3], [4, 2], [6, 1], [12, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [12, 2]], 1/34560],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 2], [12, 1]], 1/460800],
[[[1, 2], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/145152],
[[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [14, 1]], 5/2322432],
[[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 3], [4, 2], [6, 3], [10, 1], [14, 1]], 59/23224320],
[[[1, 2], [2, 3], [4, 2], [6, 3], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 3], [4, 2], [6, 3], [12, 1], [14, 1]], 11/1741824],
[[[1, 2], [2, 3], [4, 2], [6, 3], [12, 1], [18, 1]], 5/110592],
[[[1, 2], [2, 3], [4, 2], [6, 4], [8, 1], [10, 1]], 1/4976640],
[[[1, 2], [2, 3], [4, 2], [6, 4], [8, 1], [12, 1]], 1/746496],
[[[1, 2], [2, 3], [4, 2], [6, 4], [10, 1], [12, 1]], 1/1866240],
[[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [9, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 2], [7, 1], [9, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 3], [4, 2], [7, 1], [9, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 3], [4, 2], [8, 1], [14, 1], [18, 1]], 5/32256],
[[[1, 2], [2, 3], [4, 2], [10, 1], [14, 1], [18, 1]], 11/322560],
[[[1, 2], [2, 3], [4, 2], [12, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 2], [18, 1]], 1/207360],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 3], [10, 1]], 1/19906560],
[[[1, 2], [2, 3], [4, 3], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 2], [2, 3], [4, 3], [5, 1], [9, 1], [10, 1]], 1/138240],
[[[1, 2], [2, 3], [4, 3], [5, 1], [10, 1], [14, 1]], 1/268800],
[[[1, 2], [2, 3], [4, 3], [5, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/49152],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 2], [12, 1]], 1/921600],
[[[1, 2], [2, 3], [4, 3], [6, 1], [14, 1], [18, 1]], 1/72576],
[[[1, 2], [2, 3], [4, 3], [6, 2], [8, 1], [18, 1]], 5/331776],
[[[1, 2], [2, 3], [4, 3], [6, 2], [10, 1], [14, 1]], 1/1451520],
[[[1, 2], [2, 3], [4, 3], [6, 2], [10, 1], [18, 1]], 13/1244160],
[[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [14, 1]], 1/96768],
[[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 3], [4, 3], [6, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 3], [4, 3], [6, 3], [10, 1], [12, 1]], 7/1658880],
[[[1, 2], [2, 3], [4, 3], [8, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 3], [8, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [4, 3], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [14, 1]], 1/516096],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 3], [4, 4], [6, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [8, 2]], 1/26880],
[[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [11, 1]], 1/10560],
[[[1, 2], [2, 3], [5, 1], [6, 1], [12, 1], [22, 1]], 1/10560],
[[[1, 2], [2, 3], [5, 1], [6, 2], [7, 1], [9, 1]], 1/90720],
[[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [14, 1]], 11/1814400],
[[[1, 2], [2, 3], [5, 1], [6, 3], [12, 1], [18, 1]], 1/25920],
[[[1, 2], [2, 3], [5, 1], [7, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 2], [2, 3], [5, 1], [7, 1], [9, 1], [10, 1]], 1/4200],
[[[1, 2], [2, 3], [5, 1], [10, 1], [14, 1], [18, 1]], 11/25200],
[[[1, 2], [2, 3], [5, 2], [6, 1], [7, 1], [8, 1]], 1/33600],
[[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [9, 1]], 1/86400],
[[[1, 2], [2, 3], [6, 1], [8, 1], [12, 1], [22, 1]], 1/11264],
[[[1, 2], [2, 3], [6, 1], [10, 1], [12, 1], [22, 1]], 1/7040],
[[[1, 2], [2, 3], [6, 1], [10, 2], [12, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 2], [2, 3], [6, 2], [12, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 3], [6, 3], [8, 1], [10, 1], [14, 1]], 1/1935360],
[[[1, 2], [2, 3], [6, 3], [8, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [6, 3], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 3], [8, 1], [10, 1], [14, 1], [18, 1]], 1/26880],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 5]], 1/559872],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 1/2764800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 2]], 1/62208],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/4032],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [18, 2]], 1/31104],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [11, 1]], 109/2703360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [22, 1]], 1/6336],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 23/1492992],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/6220800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [12, 2]], 71/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 11/2612736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 91/1119744],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 5/995328],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [10, 1]], 11/7464960],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 2843/107495424],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [22, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [9, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [18, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [22, 1]], 1/4224],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [11, 1], [12, 1]], 7/1351680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 4]], 1/1866240],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 2]], 1/96000],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [11, 1]], 1/45056],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [22, 1]], 103/608256],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 119/1769472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 31/1382400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 529/7962624],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [7, 1]], 1/774144],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 109/6967296],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 11/110592],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 191/35831808],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 683/59719680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 6743/143327232],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 7/460800],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 7/294912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [14, 1], [18, 1]], 1/96768],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 3]], 1/829440],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 2], [6, 1]], 1/5529600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 17/442368],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 13/1843200],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/55296],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 5/258048],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 101/2985984],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 1/73728],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 37/4976640],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 49/663552],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [14, 1]], 1/36864],
[[[1, 2], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [7, 1]], 1/1548288],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [9, 1]], 1/663552],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 1/110592],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [18, 1]], 1/995328],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 23/1769472],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 37/6635520],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 343/3981312],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 7/294912],
[[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 1/368640],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/442368],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 1/4423680],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 7/1179648],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [11, 1]], 1/63360],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [7, 1]], 1/322560],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1/248832],
[[[1, 2], [2, 5], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1451520],
[[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 5], [3, 1], [5, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [7, 1]], 1/201600],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [8, 1]], 17/5529600],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/230400],
[[[1, 2], [2, 5], [3, 1], [5, 2], [8, 1], [12, 1]], 1/921600],
[[[1, 2], [2, 5], [3, 1], [5, 2], [10, 1], [12, 1]], 1/38400],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [11, 1]], 5/152064],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [22, 1]], 271/912384],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 1/32256],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [18, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [22, 1]], 19/31680],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/2016],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 1/8100],
[[[1, 2], [2, 5], [3, 1], [6, 1], [11, 1], [12, 1]], 1/152064],
[[[1, 2], [2, 5], [3, 1], [6, 1], [12, 1], [22, 1]], 1/152064],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 29/1036800],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 2], [12, 1]], 1/10800],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 5/9072],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 2771/52254720],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 239/1679616],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 989/5225472],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 29/93312],
[[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [14, 1]], 5/24192],
[[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 53/373248],
[[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [10, 1]], 263/44789760],
[[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [12, 1]], 59/8957952],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 1], [12, 1]], 31/622080],
[[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [9, 1]], 1/290304],
[[[1, 2], [2, 5], [3, 1], [8, 1], [14, 1], [18, 1]], 11/725760],
[[[1, 2], [2, 5], [3, 1], [10, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 4]], 43/22394880],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [11, 1]], 1/152064],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [22, 1]], 311/1622016],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 5/331776],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [12, 2]], 7/165888],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/1161216],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 7/497664],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1157/11943936],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 223/8957952],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [10, 1]], 5/1492992],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 2219/26873856],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 3]], 1/552960],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 23/1769472],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 1/552960],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 23/147456],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [9, 1]], 43/1990656],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 109/4644864],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 43/2985984],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 47/1990656],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 233/6635520],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 745/3981312],
[[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [12, 1]], 1/124416],
[[[1, 2], [2, 5], [3, 2], [4, 2], [10, 1], [14, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [6, 2]], 1/663552],
[[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [10, 1]], 1/1105920],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [7, 1]], 1/2322432],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [9, 1]], 1/995328],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 29/23224320],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 91/9953280],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 47/442368],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 5], [3, 2], [4, 4], [5, 1], [6, 1]], 1/3317760],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 17/5308416],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [10, 1]], 1/13271040],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/98304],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 11/576000],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [7, 1]], 13/2322432],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [14, 1]], 1/241920],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [18, 1]], 1/311040],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [8, 1]], 41/1658880],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/86400],
[[[1, 2], [2, 5], [3, 2], [5, 1], [7, 1], [8, 1]], 1/967680],
[[[1, 2], [2, 5], [3, 2], [5, 1], [7, 1], [12, 1]], 1/1935360],
[[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [9, 1]], 1/207360],
[[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 7/153600],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 2], [12, 1]], 1/345600],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/108864],
[[[1, 2], [2, 5], [3, 2], [6, 2], [7, 1], [8, 1]], 17/2322432],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [9, 1]], 31/995328],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 5/193536],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 49/1492992],
[[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 3949/17418240],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 23/186624],
[[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [14, 1]], 1/145152],
[[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [18, 1]], 1/186624],
[[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [10, 1]], 121/4976640],
[[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [12, 1]], 1/124416],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 1], [12, 1]], 17/248832],
[[[1, 2], [2, 5], [3, 2], [7, 1], [8, 1], [12, 1]], 1/387072],
[[[1, 2], [2, 5], [3, 2], [8, 1], [9, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 3]], 1/622080],
[[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [7, 1]], 1/33177600],
[[[1, 2], [2, 5], [3, 3], [4, 1], [5, 2], [6, 1]], 1/24883200],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 2]], 1/995328],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 2]], 1/691200],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [12, 2]], 13/663552],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [9, 1]], 1141/59719680],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [14, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [18, 1]], 1/248832],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [8, 1]], 5/248832],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 1/30720],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 1021/5971968],
[[[1, 2], [2, 5], [3, 3], [4, 1], [7, 1], [8, 1]], 1/13934592],
[[[1, 2], [2, 5], [3, 3], [4, 1], [9, 1], [12, 1]], 7/3317760],
[[[1, 2], [2, 5], [3, 3], [4, 2], [5, 1], [8, 1]], 1/3317760],
[[[1, 2], [2, 5], [3, 3], [4, 2], [5, 1], [10, 1]], 1/1474560],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [7, 1]], 1/6967296],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [14, 1]], 1/774144],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [8, 1]], 47/11943936],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [10, 1]], 11/6635520],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1085/15925248],
[[[1, 2], [2, 5], [3, 3], [4, 2], [8, 1], [10, 1]], 1/1105920],
[[[1, 2], [2, 5], [3, 3], [4, 2], [8, 1], [12, 1]], 1/1990656],
[[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [8, 1]], 5/11943936],
[[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [12, 1]], 1/49152],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [7, 1]], 1/26127360],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [9, 1]], 1/155520],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [10, 1]], 11/746496],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [12, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 3], [5, 1], [8, 1], [10, 1]], 1/1244160],
[[[1, 2], [2, 5], [3, 3], [6, 1], [8, 1], [9, 1]], 11/746496],
[[[1, 2], [2, 5], [3, 3], [6, 1], [8, 1], [14, 1]], 11/5806080],
[[[1, 2], [2, 5], [3, 3], [6, 1], [9, 1], [10, 1]], 1/77760],
[[[1, 2], [2, 5], [3, 3], [6, 1], [9, 1], [12, 1]], 1/373248],
[[[1, 2], [2, 5], [3, 3], [6, 1], [10, 1], [14, 1]], 1/2903040],
[[[1, 2], [2, 5], [3, 3], [6, 2], [8, 1], [10, 1]], 23/4976640],
[[[1, 2], [2, 5], [3, 3], [6, 2], [8, 1], [12, 1]], 7/663552],
[[[1, 2], [2, 5], [3, 3], [6, 2], [10, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [6, 2]], 1/7464960],
[[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [8, 1]], 1/29859840],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [7, 1]], 1/10450944],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [9, 1]], 13/4478976],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [8, 1]], 1/2985984],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [10, 1]], 23/2488320],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [12, 1]], 289/8957952],
[[[1, 2], [2, 5], [3, 4], [4, 2], [5, 1], [6, 1]], 1/14929920],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [8, 1]], 1/1990656],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [10, 1]], 1/2488320],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [12, 1]], 37/23887872],
[[[1, 2], [2, 5], [3, 4], [5, 1], [6, 1], [8, 1]], 1/14929920],
[[[1, 2], [2, 5], [3, 4], [5, 1], [6, 1], [10, 1]], 1/1866240],
[[[1, 2], [2, 5], [3, 4], [6, 1], [8, 1], [12, 1]], 1/995328],
[[[1, 2], [2, 5], [3, 5], [4, 1], [6, 1], [12, 1]], 13/35831808],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [11, 1]], 1/42240],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [22, 1]], 7/190080],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 29/864000],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 611/43545600],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 5/139968],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 299/37324800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [12, 1]], 1/233280],
[[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [9, 1]], 1/460800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 27/128000],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 2], [2, 5], [4, 1], [5, 1], [14, 1], [18, 1]], 11/604800],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [7, 1]], 1/134400],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [9, 1]], 1/345600],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/172800],
[[[1, 2], [2, 5], [4, 1], [5, 2], [10, 1], [12, 1]], 1/9600],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [11, 1]], 5/101376],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 23/101376],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [9, 1]], 1/55296],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 5/21504],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 5/55296],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4800],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 2], [2, 5], [4, 1], [6, 1], [12, 1], [22, 1]], 1069/7299072],
[[[1, 2], [2, 5], [4, 1], [6, 1], [12, 2], [14, 1]], 11/483840],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 19/1382400],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [12, 1]], 1/73728],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [12, 2]], 7/207360],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 7/64800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 5/18144],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/14336],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 49/373248],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 167/3981312],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 11/77760],
[[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 3581/26127360],
[[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 10247/53747712],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 11/2488320],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [12, 1]], 23/1492992],
[[[1, 2], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 343/11197440],
[[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [9, 1]], 1/193536],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 2], [12, 1]], 1/38400],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 1], [18, 1]], 1/5376],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 1], [18, 1]], 67/276480],
[[[1, 2], [2, 5], [4, 1], [12, 1], [14, 1], [18, 1]], 11/362880],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 43/384000],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [14, 1]], 1/241920],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [18, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [8, 1]], 49/9953280],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 23/2764800],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [12, 1]], 1/138240],
[[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/268800],
[[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [9, 1]], 1/46080],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [18, 1]], 1/138240],
[[[1, 2], [2, 5], [4, 2], [5, 1], [9, 1], [10, 1]], 1/20480],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 13/134400],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [18, 1]], 1/38400],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [9, 1]], 1/96768],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/30720],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 1/110592],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 7/294912],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 7/153600],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 97/580608],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [9, 1]], 1/82944],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6144],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 11/387072],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 23/165888],
[[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 271/2322432],
[[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 67/995328],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 91/9953280],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 481/5971968],
[[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1211/29859840],
[[[1, 2], [2, 5], [4, 2], [8, 1], [9, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [8, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 43/215040],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [18, 1]], 7/138240],
[[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [18, 1]], 1/51840],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 29/16588800],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 21/409600],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 3], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [9, 1]], 5/165888],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 121/2903040],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 53/2488320],
[[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 23/1290240],
[[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 1/62208],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 31/1105920],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 5/221184],
[[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 23/1658880],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 7/921600],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 11/245760],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 19/294912],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 1/245760],
[[[1, 2], [2, 5], [5, 1], [6, 1], [7, 1], [9, 1]], 1/362880],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 2], [12, 1]], 11/96000],
[[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 2], [2, 5], [5, 1], [6, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 13/151200],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 13/129600],
[[[1, 2], [2, 5], [5, 1], [6, 2], [12, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 5], [5, 1], [6, 2], [12, 1], [18, 1]], 1/51840],
[[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 1/3317760],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 1], [12, 1]], 7/172800],
[[[1, 2], [2, 5], [5, 1], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [18, 1]], 1/46080],
[[[1, 2], [2, 5], [5, 2], [6, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 2], [12, 1]], 1/76800],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2688],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 11/16128],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 11/161280],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 11/69120],
[[[1, 2], [2, 5], [6, 2], [8, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 5], [6, 2], [8, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [14, 1]], 53/322560],
[[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [6, 3], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 601/223948800],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/25600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 161/221184000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [12, 1]], 1/36864000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [11, 1]], 1/506880],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [22, 1]], 247/2433024],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 521/31850496],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 601/4147200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [12, 2]], 353/557383680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 24293/209018880],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 301/2239488],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 565/17915904],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 43/884736],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 1479173/30098718720],
[[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [9, 1]], 1/11612160],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 19/921600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [12, 1]], 1/589824],
[[[1, 2], [2, 7], [3, 1], [4, 1], [14, 1], [18, 1]], 13/2903040],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 3]], 1/933120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [9, 1]], 1/16588800],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [14, 1]], 1/806400],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 13/884736],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 109/2211840],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 23/14929920],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 23/8847360],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [9, 1]], 1/165888],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 2293/23224320],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 13/207360],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 2309/71663616],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1543/29859840],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 13573/358318080],
[[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [12, 1]], 1/10321920],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [9, 1]], 1/1105920],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 197/7741440],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [18, 1]], 1/663552],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 457/7741440],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [18, 1]], 1/414720],
[[[1, 2], [2, 7], [3, 1], [4, 2], [12, 1], [14, 1]], 1/483840],
[[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [6, 2]], 1/829440],
[[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/36864],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [18, 1]], 263/29859840],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 7273/212336640],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 137/4976640],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 953/29859840],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 7/1105920],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 73/35389440],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 23/1769472],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 121/26542080],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 1421/119439360],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [7, 1]], 107/154828800],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 49/1658880],
[[[1, 2], [2, 7], [3, 1], [5, 1], [7, 1], [12, 1]], 1/77414400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [9, 1], [10, 1]], 1/829440],
[[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [8, 1]], 1/2764800],
[[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 791/8294400],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 1/276480],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 2], [12, 1]], 1/1382400],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 29/435456],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 2123/17418240],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 9259/134369280],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 457/870912],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 31/82944],
[[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [14, 1]], 1/27648],
[[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [18, 1]], 1/746496],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 13889/195955200],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [12, 1]], 61/14929920],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 1], [12, 1]], 121/1658880],
[[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 2629/174182400],
[[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [18, 1]], 11/10886400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 3]], 3737/597196800],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [7, 1]], 1/38707200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [9, 1]], 1/8294400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 19/10616832],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 127/2457600],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [12, 2]], 31/26542080],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 23/13271040],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 203/39813120],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 167/1935360],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/23328],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1837/71663616],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1991/39813120],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 46151/1433272320],
[[[1, 2], [2, 7], [3, 2], [4, 1], [7, 1], [12, 1]], 1/15482880],
[[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [9, 1]], 13/19906560],
[[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [14, 1]], 1/967680],
[[[1, 2], [2, 7], [3, 2], [4, 1], [9, 1], [12, 1]], 1/6635520],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 2]], 59/44236800],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [12, 1]], 1/22118400],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [9, 1]], 11/9953280],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 1493/185794560],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [18, 1]], 7/1492992],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 19/995328],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 10177/398131200],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 263/4423680],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 1], [12, 1]], 1/1474560],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 115/42467328],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 191/87091200],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [7, 1]], 1/5806080],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [14, 1]], 1/4838400],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [8, 1]], 1/331776],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 137/11059200],
[[[1, 2], [2, 7], [3, 2], [5, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 7], [3, 2], [5, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 7], [3, 2], [6, 1], [7, 1], [8, 1]], 1/1161216],
[[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [9, 1]], 1/497664],
[[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 29/15482880],
[[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [18, 1]], 1/3732480],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 4547/278691840],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 7/933120],
[[[1, 2], [2, 7], [3, 2], [6, 1], [12, 1], [14, 1]], 1/2903040],
[[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 299/19906560],
[[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [12, 1]], 1/4976640],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 1], [12, 1]], 1/1244160],
[[[1, 2], [2, 7], [3, 3], [4, 1], [5, 1], [6, 2]], 1/24883200],
[[[1, 2], [2, 7], [3, 3], [4, 1], [5, 1], [10, 1]], 11/199065600],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [9, 1]], 5/5971968],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [14, 1]], 13/23224320],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [8, 1]], 1/497664],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [10, 1]], 77/13271040],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 36599/3344302080],
[[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [8, 1]], 7/23887872],
[[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [10, 1]], 1/3317760],
[[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [12, 1]], 1/622080],
[[[1, 2], [2, 7], [3, 3], [5, 1], [6, 1], [10, 1]], 1/14929920],
[[[1, 2], [2, 7], [3, 3], [6, 1], [8, 1], [10, 1]], 11/87091200],
[[[1, 2], [2, 7], [3, 4], [4, 1], [5, 1], [6, 1]], 1/597196800],
[[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [8, 1]], 1/23887872],
[[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [12, 1]], 787/1433272320],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 191/1728000],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 47/3628800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 1429/111974400],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 1/622080],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 899189/41803776000],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [12, 1]], 1/777600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [7, 1], [8, 1]], 13/25804800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [14, 1]], 1/537600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [9, 1], [10, 1]], 11/2764800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 10729/145152000],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [18, 1]], 5429/580608000],
[[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 11/691200],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 257/1382400],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 5/73728],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 1/589824],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [12, 2]], 11/7257600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 3007/33177600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 23/103680],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 79/430080],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 713/6635520],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 949/2903040],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 173/552960],
[[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 827/8709120],
[[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 3049/67184640],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 2269/24883200],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 169/5971968],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 547751/6270566400],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 7003/25804800],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [18, 1]], 7/172800],
[[[1, 2], [2, 7], [4, 1], [8, 1], [12, 1], [14, 1]], 1/322560],
[[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 2629/87091200],
[[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [18, 1]], 11/5443200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [7, 1]], 11/12902400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 1/69120],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [18, 1]], 11/1036800],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 1/331776],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 413/11059200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [12, 1]], 1/1382400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 7/307200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [9, 1]], 5/663552],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 773/7741440],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 23/368640],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 1921/9676800],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 1439/16588800],
[[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 2879/92897280],
[[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 17/1244160],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 403/3317760],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 893/39813120],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 9991/199065600],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/122880],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 247/16588800],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 107/2211840],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 19/7077888],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 379/58060800],
[[[1, 2], [2, 7], [5, 1], [6, 1], [9, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 59/604800],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 91/2073600],
[[[1, 2], [2, 7], [5, 1], [6, 1], [12, 1], [14, 1]], 1/806400],
[[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 13/552960],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 1], [12, 1]], 43/2764800],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 41/184320],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 41/276480],
[[[1, 2], [2, 7], [6, 1], [8, 1], [12, 1], [14, 1]], 13/2580480],
[[[1, 2], [2, 7], [6, 1], [10, 1], [12, 1], [14, 1]], 47/1032192],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 1], [12, 1]], 1/122880],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 289/447897600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 1/110592000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 251/238878720],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1033/13271040],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 1129/19906560],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 33799/1254113280],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 26995/2006581248],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 175813/2090188800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 46771/7524679680],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 199/139345920],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [18, 1]], 1/139345920],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 6151/406425600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [18, 1]], 1/3628800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [6, 2]], 1/12441600],
[[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [10, 1]], 1/24192000],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 1/30965760],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [9, 1]], 1/13271040],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 11/737280],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 67/14929920],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 9569/955514880],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 62891/2090188800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 629/238878720],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 157/33177600],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/17694720],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 1], [12, 1]], 1/14515200],
[[[1, 2], [2, 9], [3, 1], [4, 3], [5, 1], [6, 1]], 1/33177600],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 61/21233664],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 56699/8360755200],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 5783/6688604160],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [7, 1]], 1/232243200],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1841/265420800],
[[[1, 2], [2, 9], [3, 1], [5, 1], [8, 1], [10, 1]], 1/99532800],
[[[1, 2], [2, 9], [3, 1], [5, 1], [10, 1], [12, 1]], 1/44236800],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1187/209018880],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 181/627056640],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 19357/292626432],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 3539/348364800],
[[[1, 2], [2, 9], [3, 1], [6, 1], [12, 1], [14, 1]], 1/11612160],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 74563/3135283200],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [12, 1]], 263/2508226560],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 1], [12, 1]], 1859/464486400],
[[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [6, 2]], 1019/12541132800],
[[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/22118400],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/46448640],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 1/19906560],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 769/216760320],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [18, 1]], 1/14929920],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 5/3096576],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 3149/199065600],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1583/3009871872],
[[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 1/29030400],
[[[1, 2], [2, 9], [3, 2], [4, 2], [5, 1], [6, 1]], 1/61931520],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 2353/4459069440],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 289/278691840],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 247/668860416],
[[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 257/774144000],
[[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 349/1045094400],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 1], [12, 1]], 1/87091200],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [8, 1]], 1/1114767360],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [10, 1]], 1/29030400],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [12, 1]], 1/79626240],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 121/87091200],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 59/261273600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8294400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 285599/20901888000],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [12, 1]], 37/1045094400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 5713/4644864000],
[[[1, 2], [2, 9], [4, 1], [5, 1], [10, 1], [12, 1]], 1/49766400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 71/2211840],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 835/83607552],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 9049/49766400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 1291/16588800],
[[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 3229/585252864],
[[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 59/156764160],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 34787/464486400],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 719/278691840],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 122293/6270566400],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 1], [12, 1]], 1/9676800],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 31/99532800],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 259/36864000],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [12, 1]], 1/154828800],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 23663/557383680],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 8521/6688604160],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 12683/2090188800],
[[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 1/442368],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 1], [12, 1]], 71/387072000],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3225600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 13/783820800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1/174182400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 185/83607552],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 397/2508226560],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 841/836075520],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 26977/2090188800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 6473/60197437440],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 29/522547200],
[[[1, 2], [2, 11], [3, 1], [4, 2], [5, 1], [6, 1]], 1/1045094400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 2899/10032906240],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 3601/1672151040],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 577/40131624960],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 43/1393459200],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 6361/12541132800],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [12, 1]], 67/551809843200],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 1], [12, 1]], 1/348364800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [5, 1], [6, 1]], 67/2759049216000],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 3397/802632499200],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 5119/16721510400],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [12, 1]], 67/1655429529600],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 1/696729600],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 4337/5225472000],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [12, 1]], 67/459841536000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 787/99532800],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 3077/133772083200],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 12331/25082265600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/17244057600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 25913/4414478745600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 971/4459069440],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 109/481579499520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 6]], 1/5598720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [12, 2]], 1/28800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 2]], 1/56448],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [18, 2]], 1/31104],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [11, 1]], 1/101376],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [22, 1]], 1/912384],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 2]], 1/1492992],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [12, 2]], 1/62208],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 5], [18, 1]], 1/2239488],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 6], [12, 1]], 1/3359232],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [12, 1]], 1/9408],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 2]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [11, 1]], 1/6336],
[[[1, 3], [2, 2], [3, 1], [4, 1], [9, 2], [10, 1]], 1/9720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [9, 2], [12, 1]], 1/5832],
[[[1, 3], [2, 2], [3, 1], [4, 1], [18, 1], [22, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [11, 1]], 1/42240],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/134400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/345600],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [11, 1]], 1/73728],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [22, 1]], 1/152064],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [8, 2]], 1/1990656],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [12, 2]], 43/248832],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [18, 1]], 1/373248],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 5], [12, 1]], 1/497664],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [12, 2]], 1/16128],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [11, 1]], 1/33792],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [18, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 2], [11, 1], [12, 1]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [4, 2], [12, 1], [22, 1]], 1/6336],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [6, 2]], 1/5529600],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [12, 1]], 1/921600],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [11, 1]], 5/202752],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [22, 1]], 1/152064],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 1/294912],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 11/147456],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 3], [18, 1]], 5/1492992],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [10, 1]], 1/29859840],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 7/884736],
[[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [9, 1]], 1/72576],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/49152],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [9, 1]], 1/829440],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [7, 1]], 1/3096576],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [18, 1]], 1/497664],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 3], [12, 1]], 1/497664],
[[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [12, 1]], 1/516096],
[[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [9, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 1], [4, 4], [10, 1], [14, 1]], 1/645120],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/884736],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 2]], 1/8820],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [11, 1]], 1/42240],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [7, 1]], 1/725760],
[[[1, 3], [2, 2], [3, 1], [5, 1], [11, 1], [12, 1]], 1/7040],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [7, 1]], 1/80640],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 3], [8, 1]], 1/345600],
[[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [12, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [11, 1]], 1/2772],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 2]], 1/11664],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [18, 2]], 1/15552],
[[[1, 3], [2, 2], [3, 1], [6, 1], [9, 1], [11, 1]], 1/3564],
[[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [14, 2]], 1/35280],
[[[1, 3], [2, 2], [3, 1], [6, 1], [14, 1], [22, 1]], 1/11088],
[[[1, 3], [2, 2], [3, 1], [6, 1], [18, 1], [22, 1]], 1/14256],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [11, 1]], 19/202752],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [22, 1]], 1/38016],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 2], [18, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [6, 2], [10, 1], [11, 1]], 1/63360],
[[[1, 3], [2, 2], [3, 1], [6, 2], [11, 1], [12, 1]], 1/38016],
[[[1, 3], [2, 2], [3, 1], [6, 2], [12, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [10, 2]], 1/6220800],
[[[1, 3], [2, 2], [3, 1], [6, 3], [14, 1], [18, 1]], 1/27216],
[[[1, 3], [2, 2], [3, 1], [6, 4], [8, 1], [14, 1]], 1/2612736],
[[[1, 3], [2, 2], [3, 1], [6, 4], [8, 1], [18, 1]], 13/1119744],
[[[1, 3], [2, 2], [3, 1], [6, 4], [10, 1], [14, 1]], 1/3265920],
[[[1, 3], [2, 2], [3, 1], [6, 4], [12, 1], [18, 1]], 1/46656],
[[[1, 3], [2, 2], [3, 1], [8, 1], [10, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 2], [3, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 1], [8, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 3], [2, 2], [3, 1], [8, 1], [11, 1], [12, 1]], 1/11264],
[[[1, 3], [2, 2], [3, 1], [8, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 2], [3, 1], [10, 1], [11, 1], [12, 1]], 1/10560],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 5]], 1/3732480],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/31104],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [11, 1]], 1/50688],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [12, 2]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 5], [8, 1]], 1/5971968],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 5], [12, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [12, 2]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [11, 1]], 1/50688],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [22, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [9, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [12, 2]], 1/7776],
[[[1, 3], [2, 2], [3, 2], [4, 1], [10, 1], [11, 1]], 1/23760],
[[[1, 3], [2, 2], [3, 2], [4, 1], [11, 1], [12, 1]], 43/228096],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [12, 2]], 1/34560],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [6, 2]], 1/2764800],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [12, 1]], 1/460800],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [11, 1]], 1/38016],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [22, 1]], 1/90112],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [18, 1]], 17/1990656],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 7/995328],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [9, 1]], 1/145152],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 3]], 1/3317760],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [7, 1]], 1/1451520],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [9, 1]], 13/1244160],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 1/294912],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [10, 2]], 1/11059200],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 71/442368],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [7, 1]], 1/580608],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [9, 1]], 1/1492992],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [14, 1]], 1/4644864],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [18, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [12, 1]], 73/2654208],
[[[1, 3], [2, 2], [3, 2], [4, 3], [7, 1], [12, 1]], 1/96768],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [9, 1]], 5/331776],
[[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [10, 1]], 1/207360],
[[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [6, 2]], 1/6635520],
[[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [9, 1]], 1/497664],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [14, 1]], 1/3096576],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 1/331776],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [10, 1]], 1/6635520],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/24576],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 1/3538944],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/147456],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [22, 1]], 1/63360],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [7, 1]], 1/36288],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 4], [8, 1]], 1/207360],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [11, 1]], 1/28512],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [22, 1]], 71/608256],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 2], [6, 1], [10, 1], [22, 1]], 1/126720],
[[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 3], [2, 2], [3, 2], [6, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 3], [2, 2], [3, 2], [6, 1], [12, 1], [22, 1]], 1/38016],
[[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 2], [3, 2], [6, 3], [7, 1], [8, 1]], 1/145152],
[[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [9, 1]], 1/93312],
[[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [18, 1]], 29/497664],
[[[1, 3], [2, 2], [3, 2], [6, 3], [10, 1], [14, 1]], 1/6531840],
[[[1, 3], [2, 2], [3, 2], [6, 3], [10, 1], [18, 1]], 1/311040],
[[[1, 3], [2, 2], [3, 2], [6, 3], [12, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 2], [3, 2], [6, 3], [12, 1], [18, 1]], 1/93312],
[[[1, 3], [2, 2], [3, 2], [6, 4], [8, 1], [10, 1]], 1/1866240],
[[[1, 3], [2, 2], [3, 2], [6, 4], [8, 1], [12, 1]], 1/124416],
[[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 2], [7, 1], [9, 1], [12, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 2], [10, 1], [14, 1], [18, 1]], 1/90720],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 4]], 1/622080],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 2]], 1/1036800],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [12, 2]], 1/51840],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [8, 1]], 1/8294400],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [10, 1]], 1/2592000],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [12, 1]], 1/1555200],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [11, 1]], 1/912384],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [22, 1]], 1/101376],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 2]], 1/165888],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 7/41472],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [9, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [18, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [8, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 61/2239488],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 3]], 1/829440],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [7, 1]], 59/23224320],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [9, 1]], 1/103680],
[[[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]], 31/248832],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [7, 1]], 1/1161216],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [9, 1]], 23/1990656],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 3], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [8, 1]], 5/2322432],
[[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [10, 1]], 1/1451520],
[[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [12, 1]], 11/1741824],
[[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [9, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 3], [4, 2], [9, 1], [12, 1]], 5/110592],
[[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [6, 2]], 7/9953280],
[[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [10, 1]], 1/19906560],
[[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [12, 1]], 7/1658880],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [9, 1]], 1/93312],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [8, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [10, 1]], 1/3317760],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 1/32768],
[[[1, 3], [2, 2], [3, 3], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/1990656],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [7, 1]], 1/6531840],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 3], [8, 1]], 1/622080],
[[[1, 3], [2, 2], [3, 3], [5, 1], [7, 1], [8, 1]], 1/1935360],
[[[1, 3], [2, 2], [3, 3], [5, 1], [7, 1], [10, 1]], 11/1814400],
[[[1, 3], [2, 2], [3, 3], [5, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [8, 1]], 1/3110400],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 5/27216],
[[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [10, 2]], 1/691200],
[[[1, 3], [2, 2], [3, 3], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [9, 1]], 73/1492992],
[[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [14, 1]], 1/290304],
[[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [10, 1]], 1/155520],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/93312],
[[[1, 3], [2, 2], [3, 3], [6, 2], [10, 1], [14, 1]], 1/362880],
[[[1, 3], [2, 2], [3, 3], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 3], [8, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [9, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 3]], 1/414720],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [7, 1]], 1/622080],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 2]], 1/1492992],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [12, 2]], 5/124416],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [9, 1]], 1/124416],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [8, 1]], 5/1990656],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 1/23328],
[[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [8, 1]], 1/387072],
[[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [10, 1]], 1/1088640],
[[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [12, 1]], 1/653184],
[[[1, 3], [2, 2], [3, 4], [4, 1], [8, 1], [9, 1]], 13/1492992],
[[[1, 3], [2, 2], [3, 4], [4, 1], [9, 1], [10, 1]], 1/51840],
[[[1, 3], [2, 2], [3, 4], [4, 1], [9, 1], [12, 1]], 5/62208],
[[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [8, 1]], 1/4976640],
[[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [10, 1]], 1/1382400],
[[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [12, 1]], 1/1866240],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [9, 1]], 5/373248],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 2], [12, 1]], 37/2985984],
[[[1, 3], [2, 2], [3, 4], [4, 2], [8, 1], [10, 1]], 1/1244160],
[[[1, 3], [2, 2], [3, 4], [4, 2], [8, 1], [12, 1]], 1/746496],
[[[1, 3], [2, 2], [3, 4], [4, 3], [5, 1], [6, 1]], 1/29859840],
[[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [12, 1]], 211/23887872],
[[[1, 3], [2, 2], [3, 4], [5, 1], [6, 1], [7, 1]], 1/326592],
[[[1, 3], [2, 2], [3, 4], [5, 1], [6, 2], [8, 1]], 1/1866240],
[[[1, 3], [2, 2], [3, 4], [6, 1], [7, 1], [8, 1]], 1/1306368],
[[[1, 3], [2, 2], [3, 4], [6, 1], [7, 1], [12, 1]], 1/36288],
[[[1, 3], [2, 2], [3, 4], [6, 1], [8, 1], [9, 1]], 1/62208],
[[[1, 3], [2, 2], [3, 4], [6, 1], [9, 1], [12, 1]], 1/11664],
[[[1, 3], [2, 2], [3, 4], [6, 1], [10, 1], [14, 1]], 1/725760],
[[[1, 3], [2, 2], [3, 4], [6, 2], [8, 1], [10, 1]], 1/207360],
[[[1, 3], [2, 2], [3, 4], [6, 2], [8, 1], [12, 1]], 1/124416],
[[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [10, 1]], 1/4665600],
[[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [12, 1]], 1/2799360],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [9, 1]], 1/2239488],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [8, 1]], 1/5971968],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [10, 1]], 1/11197440],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 23/3359232],
[[[1, 3], [2, 2], [3, 5], [4, 1], [10, 1], [12, 1]], 1/1866240],
[[[1, 3], [2, 2], [3, 5], [4, 2], [5, 1], [6, 1]], 1/7464960],
[[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [12, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 5], [5, 1], [6, 1], [8, 1]], 1/5598720],
[[[1, 3], [2, 2], [3, 5], [6, 1], [8, 1], [12, 1]], 1/2239488],
[[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [8, 1]], 1/8957952],
[[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [10, 1]], 1/5598720],
[[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [12, 1]], 5/6718464],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [18, 2]], 1/12960],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [22, 1]], 1/31680],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [10, 2]], 1/5184000],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [14, 1]], 1/2177280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [18, 1]], 13/933120],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/35840],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [11, 1]], 1/14080],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [22, 1]], 1/7040],
[[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [11, 1]], 1/4400],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [22, 1]], 1/8800],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 2], [14, 1]], 1/28000],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 2], [18, 1]], 1/72000],
[[[1, 3], [2, 2], [4, 1], [5, 1], [11, 1], [12, 1]], 1/2640],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 3], [10, 1]], 1/518400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [10, 1]], 1/14000],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [12, 1]], 1/8400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [9, 1]], 1/115200],
[[[1, 3], [2, 2], [4, 1], [5, 2], [9, 1], [10, 1]], 1/36000],
[[[1, 3], [2, 2], [4, 1], [5, 2], [9, 1], [12, 1]], 1/21600],
[[[1, 3], [2, 2], [4, 1], [5, 2], [10, 1], [18, 1]], 1/7200],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 3], [2, 2], [4, 1], [6, 1], [9, 1], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [12, 2]], 1/57600],
[[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [18, 2]], 1/7776],
[[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [4, 1], [6, 2], [12, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 2], [4, 1], [6, 2], [12, 2], [14, 1]], 1/24192],
[[[1, 3], [2, 2], [4, 1], [6, 2], [12, 2], [18, 1]], 1/10368],
[[[1, 3], [2, 2], [4, 1], [6, 3], [10, 2], [12, 1]], 1/3110400],
[[[1, 3], [2, 2], [4, 1], [6, 4], [12, 1], [14, 1]], 1/1306368],
[[[1, 3], [2, 2], [4, 1], [6, 4], [12, 1], [18, 1]], 13/559872],
[[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [11, 1]], 1/7040],
[[[1, 3], [2, 2], [4, 1], [8, 1], [11, 1], [12, 1]], 1/4224],
[[[1, 3], [2, 2], [4, 1], [8, 1], [12, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 2], [4, 1], [10, 1], [12, 1], [22, 1]], 1/5280],
[[[1, 3], [2, 2], [4, 1], [10, 2], [12, 1], [14, 1]], 1/16800],
[[[1, 3], [2, 2], [4, 1], [10, 2], [12, 1], [18, 1]], 1/43200],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 3], [14, 1]], 1/1451520],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 4], [10, 1]], 13/24883200],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [9, 1]], 11/322560],
[[[1, 3], [2, 2], [4, 2], [5, 1], [14, 1], [18, 1]], 1/20160],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [11, 1]], 7/101376],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 3], [2, 2], [4, 2], [6, 1], [11, 1], [12, 1]], 1/6336],
[[[1, 3], [2, 2], [4, 2], [6, 1], [12, 1], [22, 1]], 3/45056],
[[[1, 3], [2, 2], [4, 2], [6, 1], [12, 2], [14, 1]], 1/16128],
[[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 3], [2, 2], [4, 2], [6, 2], [10, 1], [12, 2]], 1/34560],
[[[1, 3], [2, 2], [4, 2], [6, 3], [8, 1], [14, 1]], 1/580608],
[[[1, 3], [2, 2], [4, 2], [6, 3], [10, 1], [14, 1]], 1/2580480],
[[[1, 3], [2, 2], [4, 2], [6, 3], [12, 1], [14, 1]], 1/870912],
[[[1, 3], [2, 2], [4, 2], [6, 3], [12, 1], [18, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 2], [6, 4], [8, 1], [12, 1]], 1/746496],
[[[1, 3], [2, 2], [4, 2], [6, 4], [10, 1], [12, 1]], 1/1866240],
[[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [9, 1]], 5/32256],
[[[1, 3], [2, 2], [4, 2], [7, 1], [9, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 2], [4, 2], [7, 1], [9, 1], [12, 1]], 1/12096],
[[[1, 3], [2, 2], [4, 2], [8, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 2], [4, 2], [10, 1], [14, 1], [18, 1]], 1/35840],
[[[1, 3], [2, 2], [4, 2], [12, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 3], [8, 1]], 1/1658880],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 3], [10, 1]], 1/9953280],
[[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [10, 1]], 1/268800],
[[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [18, 1]], 1/23040],
[[[1, 3], [2, 2], [4, 3], [5, 1], [9, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 2], [4, 3], [5, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/18432],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 1/49152],
[[[1, 3], [2, 2], [4, 3], [6, 1], [10, 2], [12, 1]], 1/1843200],
[[[1, 3], [2, 2], [4, 3], [6, 1], [14, 1], [18, 1]], 1/580608],
[[[1, 3], [2, 2], [4, 3], [6, 2], [8, 1], [18, 1]], 1/331776],
[[[1, 3], [2, 2], [4, 3], [6, 2], [10, 1], [14, 1]], 1/1935360],
[[[1, 3], [2, 2], [4, 3], [6, 2], [10, 1], [18, 1]], 1/414720],
[[[1, 3], [2, 2], [4, 3], [6, 2], [12, 1], [14, 1]], 1/774144],
[[[1, 3], [2, 2], [4, 3], [6, 2], [12, 1], [18, 1]], 1/331776],
[[[1, 3], [2, 2], [4, 3], [6, 3], [8, 1], [12, 1]], 1/995328],
[[[1, 3], [2, 2], [4, 3], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [18, 1]], 1/82944],
[[[1, 3], [2, 2], [4, 4], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [14, 1]], 1/516096],
[[[1, 3], [2, 2], [4, 4], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 2], [4, 4], [6, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 1/589824],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [8, 2]], 1/26880],
[[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [11, 1]], 1/5280],
[[[1, 3], [2, 2], [5, 1], [6, 1], [12, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 2], [5, 1], [6, 2], [7, 1], [9, 1]], 1/90720],
[[[1, 3], [2, 2], [5, 1], [6, 3], [10, 1], [14, 1]], 1/302400],
[[[1, 3], [2, 2], [5, 1], [6, 3], [12, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [5, 1], [7, 1], [8, 1], [9, 1]], 1/26880],
[[[1, 3], [2, 2], [5, 1], [7, 1], [9, 1], [10, 1]], 11/25200],
[[[1, 3], [2, 2], [5, 1], [10, 1], [14, 1], [18, 1]], 1/4200],
[[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [8, 1]], 1/16800],
[[[1, 3], [2, 2], [5, 2], [6, 1], [8, 1], [9, 1]], 1/43200],
[[[1, 3], [2, 2], [6, 1], [8, 1], [12, 1], [22, 1]], 7/101376],
[[[1, 3], [2, 2], [6, 1], [10, 1], [12, 1], [22, 1]], 1/21120],
[[[1, 3], [2, 2], [6, 1], [10, 2], [12, 1], [14, 1]], 1/67200],
[[[1, 3], [2, 2], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2488320],
[[[1, 3], [2, 2], [6, 3], [8, 1], [12, 1], [18, 1]], 7/248832],
[[[1, 3], [2, 2], [6, 3], [10, 1], [12, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 2], [8, 1], [10, 1], [14, 1], [18, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 5]], 1/174960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [22, 1]], 1/7920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/691200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [9, 1]], 1/86400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 2]], 5/93312],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/4704],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [18, 2]], 1/15552],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [11, 1]], 31/221184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 7/38016],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 97/2985984],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/4147200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 109/995328],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 1/580608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 23/5225472],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 23/248832],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 5/1119744],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 37/22394880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1655/53747712],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [12, 2]], 1/32256],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [22, 1]], 29/101376],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [18, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [11, 1]], 1/21120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [18, 1]], 1/57600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [11, 1], [12, 1]], 53/405504],
[[[1, 3], [2, 4], [3, 1], [4, 1], [12, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 7/7464960],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/48000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [12, 2]], 1/23040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/819200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 11/128000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [12, 1]], 31/737280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [11, 1]], 19/202752],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 133/608256],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 145/1327104],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 17/1382400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1741/7962624],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/258048],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/110592],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 125/995328],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 5/746496],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 127/19906560],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 12851/143327232],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 1/43008],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 7/921600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 11/73728],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [14, 1], [18, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 1/829440],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/322560],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 17/829440],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 17/5529600],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 35/442368],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 43/5529600],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 1/172032],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 43/2322432],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 203/2985984],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 133/7962624],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 19/2488320],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 197/1990656],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/516096],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [12, 1]], 1/28672],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 23/221184],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 31/258048],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [18, 1]], 1/110592],
[[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 11/387072],
[[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/491520],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/81920],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/368640],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 1/737280],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/258048],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [9, 1]], 1/165888],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 19/1548288],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [18, 1]], 11/1990656],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 83/3538944],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 37/6635520],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 959/7962624],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 19/589824],
[[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 1/368640],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 1/1105920],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 35/1769472],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 1/884736],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 7/294912],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [11, 1]], 1/6336],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 1/23040],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/57600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [7, 1]], 13/967680],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [9, 1]], 1/77760],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/19440],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 43/4665600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [12, 1]], 1/103680],
[[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [9, 1]], 37/1451520],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [5, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [9, 1]], 1/32400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [8, 1]], 7/138240],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 11/576000],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [12, 1]], 1/345600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [12, 1]], 1/115200],
[[[1, 3], [2, 4], [3, 1], [5, 2], [10, 1], [12, 1]], 11/96000],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 2]], 1/32256],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [11, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 73/152064],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 1/1980],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 11/33600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 7/64800],
[[[1, 3], [2, 4], [3, 1], [6, 1], [11, 1], [12, 1]], 7/152064],
[[[1, 3], [2, 4], [3, 1], [6, 1], [12, 1], [22, 1]], 7/152064],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/108864],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 19/1036800],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 2], [12, 1]], 7/86400],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 13/27216],
[[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [8, 1]], 1/387072],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 605/10450944],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 533/2239488],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 2719/26127360],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 109/466560],
[[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [14, 1]], 11/72576],
[[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 59/373248],
[[[1, 3], [2, 4], [3, 1], [6, 4], [8, 1], [10, 1]], 71/14929920],
[[[1, 3], [2, 4], [3, 1], [6, 4], [8, 1], [12, 1]], 35/2985984],
[[[1, 3], [2, 4], [3, 1], [6, 4], [10, 1], [12, 1]], 13/622080],
[[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [9, 1]], 1/36288],
[[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/30240],
[[[1, 3], [2, 4], [3, 1], [8, 1], [14, 1], [18, 1]], 5/145152],
[[[1, 3], [2, 4], [3, 1], [10, 1], [14, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 121/7464960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 7/172800],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [12, 2]], 1/69120],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 1/691200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/288000],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [12, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [11, 1]], 7/114048],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [22, 1]], 721/2433024],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 41/331776],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/153600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [12, 2]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 17/290304],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 11/373248],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 95/2612736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 985/5971968],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 11/331776],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [10, 1]], 11/22394880],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 11/62208],
[[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [9, 1]], 1/72576],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [12, 1]], 7/221184],
[[[1, 3], [2, 4], [3, 2], [4, 1], [14, 1], [18, 1]], 1/72576],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 119/6635520],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [7, 1]], 1/143360],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 1/30720],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/1382400],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 85/1327104],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/368640],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 403/1327104],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/344064],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 7/147456],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 13/516096],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 59/1492992],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 107/1990656],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 97/2211840],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 473/995328],
[[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [10, 1]], 1/80640],
[[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [12, 1]], 59/1548288],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 11/248832],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [12, 1]], 25/221184],
[[[1, 3], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 19/967680],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 11/1105920],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 7/3317760],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [12, 1]], 7/552960],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 11/2322432],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 41/995328],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/145152],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1/32768],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 19/1105920],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 61/165888],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 131/1327104],
[[[1, 3], [2, 4], [3, 2], [4, 3], [10, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/829440],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 145/10616832],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 7/3317760],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 59/1327104],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 17/576000],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 211/1658880],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 1/120960],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 1/77760],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 121/1658880],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 161/4665600],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [12, 1]], 1/103680],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [8, 1]], 11/1451520],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [10, 1]], 1/16800],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [12, 1]], 37/1935360],
[[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [9, 1]], 43/622080],
[[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 1/21600],
[[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [8, 1]], 1/345600],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [12, 1]], 1/43200],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 1/13608],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [10, 2]], 1/10800],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/54432],
[[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 29/290304],
[[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/241920],
[[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [12, 1]], 1/145152],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 115/746496],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 17/145152],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 13/82944],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [12, 1]], 1/62208],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 5797/17418240],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 83/466560],
[[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [14, 1]], 1/72576],
[[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [18, 1]], 1/46656],
[[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 77/1658880],
[[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [12, 1]], 73/1990656],
[[[1, 3], [2, 4], [3, 2], [6, 3], [10, 1], [12, 1]], 127/1244160],
[[[1, 3], [2, 4], [3, 2], [7, 1], [8, 1], [12, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 2], [7, 1], [10, 1], [12, 1]], 1/40320],
[[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [12, 1]], 11/248832],
[[[1, 3], [2, 4], [3, 2], [8, 1], [10, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 2], [9, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 3]], 7/829440],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [7, 1]], 1/1548288],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 2], [6, 1]], 1/6220800],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/55296],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 2]], 1/460800],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [12, 2]], 31/331776],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 1/5225472],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 533/5971968],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 47/580608],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 17/746496],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 7/110592],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 17/497664],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 467/995328],
[[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [8, 1]], 19/13934592],
[[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [10, 1]], 1/107520],
[[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [12, 1]], 25/1741824],
[[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [12, 1]], 85/995328],
[[[1, 3], [2, 4], [3, 3], [4, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 1/103680],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [8, 1]], 1/1105920],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 7/614400],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [12, 1]], 13/1244160],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 5/2322432],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 17/331776],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/258048],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 13/373248],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 13/737280],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 2023/5308416],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 53/3317760],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [12, 1]], 17/663552],
[[[1, 3], [2, 4], [3, 3], [4, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 3], [4, 3], [5, 1], [6, 1]], 13/4976640],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 127/23887872],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 5/73728],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [7, 1]], 151/26127360],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [9, 1]], 11/155520],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [8, 1]], 113/4976640],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 187/4665600],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [12, 1]], 17/414720],
[[[1, 3], [2, 4], [3, 3], [5, 1], [8, 1], [10, 1]], 1/622080],
[[[1, 3], [2, 4], [3, 3], [5, 1], [8, 1], [12, 1]], 1/829440],
[[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [8, 1]], 25/3483648],
[[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [12, 1]], 1/72576],
[[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [9, 1]], 85/746496],
[[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [14, 1]], 5/1161216],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/15552],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [12, 1]], 19/373248],
[[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [14, 1]], 31/2903040],
[[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 29/552960],
[[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [12, 1]], 25/663552],
[[[1, 3], [2, 4], [3, 3], [6, 2], [10, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [6, 2]], 11/22394880],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [8, 1]], 19/29859840],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [10, 1]], 7/4147200],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [12, 1]], 1/3732480],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [7, 1]], 5/2612736],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [9, 1]], 29/1119744],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [14, 1]], 1/580608],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [8, 1]], 49/4478976],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 59/2488320],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 19/139968],
[[[1, 3], [2, 4], [3, 4], [4, 1], [8, 1], [10, 1]], 1/1244160],
[[[1, 3], [2, 4], [3, 4], [4, 2], [5, 1], [6, 1]], 13/19906560],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [8, 1]], 1/442368],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [10, 1]], 1/1244160],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [12, 1]], 41/884736],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [8, 1]], 1/1658880],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [10, 1]], 107/18662400],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [12, 1]], 1/207360],
[[[1, 3], [2, 4], [3, 4], [6, 1], [8, 1], [12, 1]], 7/995328],
[[[1, 3], [2, 4], [3, 4], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 4], [3, 5], [4, 1], [5, 1], [6, 1]], 1/4478976],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [8, 1]], 5/8957952],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [10, 1]], 11/2799360],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [12, 1]], 403/53747712],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [11, 1]], 1/7040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/12672],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 19/864000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [7, 1]], 1/120960],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 179/8709120],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 1/14580],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 1/622080],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 1/129600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [12, 1]], 1/311040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [9, 1]], 1/21504],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 39/128000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 3/20480],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/3200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [14, 1], [18, 1]], 11/120960],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [7, 1]], 1/22400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [9, 1]], 1/86400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/34560],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 17/128000],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [12, 1]], 1/38400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 1/3200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [11, 1]], 23/101376],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 7/33792],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [9, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 3/14336],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/9600],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [11, 1], [12, 1]], 1/19008],
[[[1, 3], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 307/1216512],
[[[1, 3], [2, 4], [4, 1], [6, 1], [12, 2], [14, 1]], 5/96768],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [9, 1]], 1/72576],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/460800],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 1/24576],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 157/2073600],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 29/580608],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 319/9953280],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 443/5225472],
[[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 2113/8957952],
[[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [10, 1]], 1/622080],
[[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [12, 1]], 1/746496],
[[[1, 3], [2, 4], [4, 1], [6, 4], [10, 1], [12, 1]], 31/3732480],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [9, 1]], 19/193536],
[[[1, 3], [2, 4], [4, 1], [7, 1], [9, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [4, 1], [7, 1], [9, 1], [12, 1]], 1/24192],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [4, 1], [10, 1], [14, 1], [18, 1]], 31/138240],
[[[1, 3], [2, 4], [4, 1], [12, 1], [14, 1], [18, 1]], 5/72576],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 71/384000],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [7, 1]], 1/53760],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [14, 1]], 1/60480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 7/103680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 199/9953280],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 443/24883200],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [12, 1]], 1/69120],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 47/322560],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 19/268800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [12, 1]], 19/161280],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [9, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [18, 1]], 7/138240],
[[[1, 3], [2, 4], [4, 2], [5, 1], [9, 1], [10, 1]], 11/76800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 13/89600],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [18, 1]], 41/345600],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 1/96000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [9, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/61440],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 7/110592],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 11/73728],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/17280],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 79/921600],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 31/193536],
[[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [9, 1]], 1/82944],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 11/193536],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 91/497664],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 13/645120],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 109/829440],
[[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 49/331776],
[[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 167/995328],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 151/1492992],
[[[1, 3], [2, 4], [4, 2], [6, 3], [10, 1], [12, 1]], 1361/29859840],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/17920],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [8, 1], [9, 1], [10, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [8, 1], [9, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 199/645120],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [18, 1]], 7/82944],
[[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 11/53760],
[[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 43/1935360],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 1/322560],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [18, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/663552],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [12, 1]], 1/92160],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 41/307200],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 1/16128],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [9, 1]], 5/165888],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 11/82944],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 31/829440],
[[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 19/1105920],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 67/663552],
[[[1, 3], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 11/1228800],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 41/737280],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 43/589824],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [9, 1]], 1/51840],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 2], [12, 1]], 17/96000],
[[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120],
[[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 4], [5, 1], [6, 2], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 13/100800],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 11/86400],
[[[1, 3], [2, 4], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 4], [5, 1], [6, 2], [12, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 4], [5, 1], [6, 3], [10, 1], [12, 1]], 1/38400],
[[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 3/11200],
[[[1, 3], [2, 4], [5, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 11/22400],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 3], [2, 4], [5, 2], [6, 1], [10, 1], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [9, 1]], 1/48384],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 2], [12, 1]], 1/57600],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 11/36288],
[[[1, 3], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 11/34560],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 17/1451520],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 109/622080],
[[[1, 3], [2, 4], [6, 2], [8, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [6, 2], [8, 1], [12, 1], [18, 1]], 17/248832],
[[[1, 3], [2, 4], [6, 2], [10, 1], [12, 1], [14, 1]], 29/322560],
[[[1, 3], [2, 4], [6, 2], [10, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [6, 3], [8, 1], [10, 1], [12, 1]], 7/829440],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 467/27993600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 1/122880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 241/1152000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 1531/110592000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [8, 1]], 1/460800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [12, 1]], 11/18432000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [11, 1]], 493/12165120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 31/76032],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 7745/31850496],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 11/38400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 719/79626240],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/221184],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [9, 1]], 1/124416],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 3827/14929920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 7759/17915904],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 11273/119439360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 34231/358318080],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 715499/4299816960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [9, 1]], 1/362880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 1/65536],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 1], [18, 1]], 29/1451520],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 803/29859840],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [9, 1]], 7/5529600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [14, 1]], 11/806400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/147456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 523/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 47/345600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 311/14929920],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1301/61931520],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 491/1935360],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 583/1990656],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 4009/23887872],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 29/276480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 4655/17915904],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/322560],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [12, 1]], 223/30965760],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 269/1548288],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [18, 1]], 5/331776],
[[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 259/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [18, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 11/483840],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 211/13271040],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 11/368640],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 11/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/86016],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [9, 1]], 17/663552],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 97/645120],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 71/1658880],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 2623/14155776],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 4493/39813120],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 9799/39813120],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 79/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 541/7077888],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 47/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 7/1474560],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 11/147456],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 601/26542080],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 2567/29859840],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 1/184320],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 23/38400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [7, 1]], 359/51609600],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/40320],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 10541/74649600],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [12, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [12, 1]], 31/77414400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [9, 1]], 7/829440],
[[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 7/414720],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 23/2764800],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 19/192000],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [12, 1]], 1/1382400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/435456],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 2173/8294400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 23/552960],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 41/181440],
[[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 17/3096576],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [9, 1]], 1/248832],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 6541/17418240],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 397/1244160],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 2713/3483648],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 433/622080],
[[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [14, 1]], 83/725760],
[[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 5/373248],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 4933/37324800],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [12, 1]], 11/497664],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 1], [12, 1]], 113/829440],
[[[1, 3], [2, 6], [3, 1], [7, 1], [8, 1], [12, 1]], 1/516096],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 509/9676800],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [18, 1]], 1/172800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 10523/199065600],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1814400],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [9, 1]], 137/24883200],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 1/276480],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 283/10616832],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 457/2949120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [12, 2]], 25/1769472],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 131/2903040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 2011/29859840],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 22129/55738368],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 6119/23887872],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 2483/11943936],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 36671/179159040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 8257/31850496],
[[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [8, 1]], 1/774144],
[[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [12, 1]], 1/483840],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [9, 1]], 233/19906560],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 11/967680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [18, 1]], 1/497664],
[[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [10, 1]], 13/2488320],
[[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [12, 1]], 29/7464960],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 19/967680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [18, 1]], 1/311040],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 5137/132710400],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 11/442368],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [12, 1]], 7/7372800],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 13/1548288],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 133/4976640],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 30977/185794560],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [18, 1]], 49/1492992],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1199/4976640],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 2761/15925248],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 16433/39813120],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 13/552960],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 11/552960],
[[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 59/13271040],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 2675/42467328],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1273/66355200],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 235/2654208],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 11/1451520],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 17/1244160],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 11/4838400],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 53/1327104],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 21031/99532800],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [12, 1]], 1/414720],
[[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 5/331776],
[[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 6], [3, 2], [5, 1], [10, 1], [12, 1]], 7/552960],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 11/1161216],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/120960],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [12, 1]], 1/580608],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [9, 1]], 91/2985984],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 743/23224320],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [18, 1]], 11/622080],
[[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/51840],
[[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [12, 1]], 1/248832],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 128473/1393459200],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 1/23328],
[[[1, 3], [2, 6], [3, 2], [6, 1], [12, 1], [14, 1]], 11/2903040],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 2233/9953280],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [12, 1]], 31/4976640],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 1], [12, 1]], 1/124416],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 211/22118400],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [8, 1]], 1/1244160],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [10, 1]], 77/132710400],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [12, 1]], 11/33177600],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [7, 1]], 11/5971968],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 317/14929920],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 109/11612160],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [18, 1]], 1/186624],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 5347/119439360],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1613/13271040],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 62339/477757440],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 1], [10, 1]], 1/3317760],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 1], [12, 1]], 1/663552],
[[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1], [6, 1]], 13/9953280],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 277/23887872],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 7/331776],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 53/1474560],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [8, 1]], 7/2488320],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 161/14929920],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [12, 1]], 1/1658880],
[[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [10, 1]], 1/1382400],
[[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [12, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 4], [4, 1], [5, 1], [6, 1]], 523/1791590400],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [8, 1]], 29/35831808],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [10, 1]], 13/14929920],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [12, 1]], 3577/477757440],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/61440],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 679/1728000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [7, 1]], 1/193536],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 11/259200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 149/2073600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 113/9953280],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 9079/110592000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [12, 1]], 1/82944],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 313/25804800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 73/3225600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [12, 1]], 1/1935360],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 11/537600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [18, 1]], 1/138240],
[[[1, 3], [2, 6], [4, 1], [5, 1], [9, 1], [10, 1]], 77/1843200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 2699/8064000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [18, 1]], 1231/13824000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 79/691200],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [9, 1]], 5/580608],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 17/57600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 1/65536],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [12, 2]], 1/115200],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 12511/66355200],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 1051/2322432],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [9, 1]], 1/165888],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 5/13824],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 1291/3981312],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 8969/23224320],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 2411/4976640],
[[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 31711/139345920],
[[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 3109/19906560],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 223/2488320],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 11/186624],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 19799/149299200],
[[[1, 3], [2, 6], [4, 1], [8, 1], [9, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1177/1720320],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 11/322560],
[[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 449/4838400],
[[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [18, 1]], 1/86400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 11/614400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [9, 1]], 1/138240],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/17280],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 11/172800],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 37/829440],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1013/8294400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 11/1382400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 473/1843200],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 11/92160],
[[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 5/258048],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 613/1548288],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 61/248832],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 257/645120],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 823/3317760],
[[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 15011/92897280],
[[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 7/77760],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 863/3317760],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 41/248832],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 1459/7962624],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 83/1105920],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1619/16588800],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 1/737280],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 533/2211840],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 2041/21233664],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 191/3686400],
[[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [8, 1]], 17/3870720],
[[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560],
[[[1, 3], [2, 6], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 19/67200],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 269/1382400],
[[[1, 3], [2, 6], [5, 1], [6, 1], [12, 1], [14, 1]], 11/806400],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 101/921600],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 1], [12, 1]], 109/1843200],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 289/829440],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 407/1244160],
[[[1, 3], [2, 6], [6, 1], [8, 1], [12, 1], [14, 1]], 71/3870720],
[[[1, 3], [2, 6], [6, 1], [10, 1], [12, 1], [14, 1]], 1937/25804800],
[[[1, 3], [2, 6], [6, 2], [8, 1], [10, 1], [12, 1]], 7/331776],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 3893/447897600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/5529600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 11/49766400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 1/604800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 37/110592000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 8009/238878720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 8383/22118400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 67/30965760],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [9, 1]], 1/331776],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 1327/3981312],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 35827/179159040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1466543/10032906240],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 2243671/6270566400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 243451/3762339840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 13/30965760],
[[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [12, 1]], 1/15482880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 11/7962624],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 3259/139345920],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [18, 1]], 11/15482880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 2453/29030400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [18, 1]], 241/87091200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 1/1451520],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 12961/796262400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 49/44236800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1031/86016000],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [12, 1]], 1/14745600],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 23/15482880],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 11/3317760],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 91/552960],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 299/5971968],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 30289/212336640],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 54743/232243200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 6187/119439360],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 587/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 13/7077888],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 11/7257600],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 143/66355200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 823/13271040],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 552233/8360755200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 3943/159252480],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [7, 1]], 17/116121600],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [9, 1]], 1/49766400],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/806400],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 1/3110400],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 4387/49766400],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [12, 1]], 1/4147200],
[[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 443/99532800],
[[[1, 3], [2, 8], [3, 1], [5, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/1548288],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [9, 1]], 1/1990656],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 14503/209018880],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 4903/627056640],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1024157/3657830400],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 8017/116121600],
[[[1, 3], [2, 8], [3, 1], [6, 1], [12, 1], [14, 1]], 17/11612160],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 57607/348364800],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [12, 1]], 47/27869184],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 1], [12, 1]], 11171/464486400],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 6421/836075520],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 67/66355200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [12, 1]], 1/33177600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1327104],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 137/59719680],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 3337/69672960],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 23/3732480],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 10691/238878720],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 133079/597196800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 217/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 149/58060800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 589/928972800],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 19139/891813888],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 27407/557383680],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 2263/278691840],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 105457/13934592000],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [12, 1]], 1/66355200],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 31321/4180377600],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [12, 1]], 1/2654208],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 1], [12, 1]], 11/43545600],
[[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 17/99532800],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1157/668860416],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 89/77414400],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 115/71663616],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2764800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 3523/174182400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 5533/522547200],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 41/8294400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 26119/258048000],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [12, 1]], 13/11612160],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 92173/2322432000],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 83/49766400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [9, 1]], 1/663552],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1619/7741440],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 199/2488320],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 62003/116121600],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 14051/49766400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 919/26127360],
[[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 1249/313528320],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 5819/22118400],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 47/2488320],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 15019/174182400],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 11/4838400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 121/9953280],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 5081/62208000],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 29/154828800],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 1433/5308416],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 127879/6688604160],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 253147/4180377600],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 443/11059200],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 1], [12, 1]], 673/258048000],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 1], [12, 1]], 73/33177600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 59/111974400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1667/3483648000],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1/46448640],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [9, 1]], 1/39813120],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 8969/292626432],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 239/59719680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 489371/22932357120],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 105121/783820800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 18623/7524679680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 143/52254720],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 1/141557760],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 1/43545600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 643/2388787200],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 36187/3344302080],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 239903/5573836800],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 28741/40131624960],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 8437/4180377600],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 40441/4180377600],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [12, 1]], 47/16721510400],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 1], [12, 1]], 1/12441600],
[[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 977/83607552000],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 311/557383680],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 13523/2006581248],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 661/11147673600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 127/348364800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 9017/580608000],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [12, 1]], 137/13934592000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 5617/87091200],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 353/836075520],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 42703/8360755200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 2983/689762304000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 513697/1471492915200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 978823/200658124800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 33389/3310859059200],
[[[1, 3], [3, 1], [4, 1], [6, 2], [8, 1], [11, 1]], 1/101376],
[[[1, 3], [3, 1], [4, 1], [8, 1], [11, 1], [12, 1]], 1/16896],
[[[1, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/11520],
[[[1, 3], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/622080],
[[[1, 3], [3, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 3], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 1/5184],
[[[1, 3], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 1/165888],
[[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 3], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/746496],
[[[1, 3], [3, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/967680],
[[[1, 3], [3, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 3], [3, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2903040],
[[[1, 3], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/248832],
[[[1, 3], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 3], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 1/69120],
[[[1, 3], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 3], [4, 1], [5, 1], [7, 1], [8, 1], [9, 1]], 1/40320],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [12, 2]], 1/57600],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [7, 2]], 1/56448],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [18, 2]], 1/93312],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [11, 1]], 1/304128],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [22, 1]], 1/2737152],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 5], [18, 1]], 1/6718464],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [12, 1]], 1/9408],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [9, 2]], 1/15552],
[[[1, 4], [2, 1], [3, 1], [4, 1], [9, 1], [11, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 1], [4, 1], [9, 2], [10, 1]], 1/38880],
[[[1, 4], [2, 1], [3, 1], [4, 1], [9, 2], [12, 1]], 1/23328],
[[[1, 4], [2, 1], [3, 1], [4, 1], [18, 1], [22, 1]], 1/38016],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [11, 1]], 1/21120],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 1/172800],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [11, 1]], 7/2433024],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [8, 2]], 1/1990656],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [12, 2]], 1/20736],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [11, 1]], 1/33792],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [18, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 1], [4, 2], [11, 1], [12, 1]], 7/405504],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [6, 2]], 1/11059200],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [12, 1]], 1/1843200],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [11, 1]], 1/50688],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [22, 1]], 1/608256],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [12, 2]], 1/16384],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 3], [18, 1]], 1/1492992],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 4], [12, 1]], 1/884736],
[[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [9, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/1290240],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 3], [12, 1]], 1/663552],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [11, 1]], 1/42240],
[[[1, 4], [2, 1], [3, 1], [5, 1], [11, 1], [12, 1]], 1/7040],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [7, 1]], 1/57600],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 3], [8, 1]], 1/691200],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [12, 1]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [9, 2]], 1/46656],
[[[1, 4], [2, 1], [3, 1], [6, 1], [9, 1], [11, 1]], 1/4752],
[[[1, 4], [2, 1], [3, 1], [6, 2], [8, 1], [11, 1]], 1/202752],
[[[1, 4], [2, 1], [3, 1], [8, 1], [11, 1], [12, 1]], 1/33792],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 5]], 1/3732480],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/93312],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [11, 1]], 1/50688],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [12, 2]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 5], [12, 1]], 1/746496],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [12, 2]], 1/24192],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [11, 1]], 1/38016],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [12, 2]], 1/31104],
[[[1, 4], [2, 1], [3, 2], [4, 1], [10, 1], [11, 1]], 1/95040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [11, 1], [12, 1]], 31/228096],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2]], 1/1382400],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 1/230400],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [11, 1]], 1/50688],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [12, 2]], 41/165888],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 4], [12, 1]], 1/995328],
[[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [7, 1]], 1/5806080],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [9, 1]], 1/124416],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 65/442368],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [7, 1]], 1/663552],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [9, 1]], 1/5971968],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [18, 1]], 1/995328],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 19/2654208],
[[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [9, 1]], 5/331776],
[[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 2], [4, 4], [6, 2], [12, 1]], 1/165888],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 1/3538944],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/147456],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [7, 1]], 1/40320],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 29/90720],
[[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [11, 1]], 1/114048],
[[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [22, 1]], 17/608256],
[[[1, 4], [2, 1], [3, 2], [6, 1], [11, 1], [12, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 2], [6, 2], [7, 1], [9, 1]], 1/27216],
[[[1, 4], [2, 1], [3, 2], [6, 3], [7, 1], [8, 1]], 1/290304],
[[[1, 4], [2, 1], [3, 2], [6, 3], [8, 1], [9, 1]], 1/373248],
[[[1, 4], [2, 1], [3, 2], [6, 3], [8, 1], [18, 1]], 17/1492992],
[[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 4], [2, 1], [3, 2], [7, 1], [9, 1], [12, 1]], 1/4536],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [12, 2]], 1/51840],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/4147200],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [10, 1]], 1/5184000],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [12, 1]], 1/3110400],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [11, 1]], 1/2737152],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [22, 1]], 1/304128],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [12, 2]], 1/41472],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [9, 1]], 1/746496],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [18, 1]], 1/746496],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 4], [12, 1]], 1/2239488],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [6, 3]], 1/829440],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [7, 1]], 199/69672960],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [9, 1]], 7/311040],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [7, 1]], 1/580608],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [9, 1]], 23/5971968],
[[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [8, 1]], 1/2322432],
[[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 1/96768],
[[[1, 4], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 23/995328],
[[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [6, 2]], 7/9953280],
[[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [12, 1]], 7/1658880],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [9, 1]], 1/124416],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 2], [8, 1]], 1/663552],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 2], [12, 1]], 1/98304],
[[[1, 4], [2, 1], [3, 3], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [7, 1]], 1/145152],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 3], [8, 1]], 1/622080],
[[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [8, 1]], 1/5806080],
[[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [10, 1]], 1/362880],
[[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [8, 1]], 1/6220800],
[[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/6804],
[[[1, 4], [2, 1], [3, 3], [6, 2], [8, 1], [9, 1]], 1/497664],
[[[1, 4], [2, 1], [3, 3], [6, 2], [8, 1], [18, 1]], 1/62208],
[[[1, 4], [2, 1], [3, 3], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 3], [8, 1], [9, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 3]], 1/414720],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [7, 1]], 1/622080],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 1/41472],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [9, 1]], 1/124416],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 1/62208],
[[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 5/1741824],
[[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [10, 1]], 1/2177280],
[[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [12, 1]], 1/1306368],
[[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [10, 1]], 1/186624],
[[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 1/17496],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [6, 2]], 1/2488320],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [8, 1]], 1/4976640],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [10, 1]], 1/4976640],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [12, 1]], 1/414720],
[[[1, 4], [2, 1], [3, 4], [4, 2], [6, 1], [9, 1]], 1/93312],
[[[1, 4], [2, 1], [3, 4], [4, 2], [6, 2], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 49/23887872],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [7, 1]], 1/362880],
[[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [8, 1]], 1/2612736],
[[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [12, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 4], [6, 1], [8, 1], [9, 1]], 5/1119744],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 1/15552],
[[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [8, 1]], 1/7464960],
[[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [10, 1]], 1/4665600],
[[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [12, 1]], 1/2799360],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [9, 1]], 1/6718464],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [8, 1]], 1/17915904],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [10, 1]], 1/11197440],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 7/1679616],
[[[1, 4], [2, 1], [3, 5], [4, 1], [8, 1], [12, 1]], 1/2985984],
[[[1, 4], [2, 1], [3, 5], [4, 1], [10, 1], [12, 1]], 1/1866240],
[[[1, 4], [2, 1], [3, 5], [4, 2], [5, 1], [6, 1]], 1/7464960],
[[[1, 4], [2, 1], [3, 5], [4, 2], [6, 1], [12, 1]], 1/497664],
[[[1, 4], [2, 1], [3, 5], [5, 1], [6, 1], [8, 1]], 1/5598720],
[[[1, 4], [2, 1], [3, 5], [6, 1], [8, 1], [12, 1]], 1/2239488],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [8, 1]], 1/8957952],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/2239488],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 1/35840],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 1], [4, 1], [5, 1], [10, 1], [11, 1]], 1/8800],
[[[1, 4], [2, 1], [4, 1], [5, 1], [11, 1], [12, 1]], 1/5280],
[[[1, 4], [2, 1], [4, 1], [5, 2], [6, 3], [10, 1]], 1/1036800],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/22400],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [10, 1]], 1/28000],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [12, 1]], 1/16800],
[[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/57600],
[[[1, 4], [2, 1], [4, 1], [5, 2], [9, 1], [10, 1]], 1/72000],
[[[1, 4], [2, 1], [4, 1], [5, 2], [9, 1], [12, 1]], 1/43200],
[[[1, 4], [2, 1], [4, 1], [5, 2], [10, 1], [18, 1]], 1/14400],
[[[1, 4], [2, 1], [4, 1], [6, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 4], [2, 1], [4, 1], [6, 1], [9, 1], [11, 1]], 1/38016],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/138240],
[[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [11, 1]], 7/101376],
[[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [9, 1]], 1/32256],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 3], [8, 1]], 1/1658880],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 3], [10, 1]], 1/19906560],
[[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [10, 1]], 1/268800],
[[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 4], [2, 1], [4, 3], [5, 1], [8, 1], [18, 1]], 1/23040],
[[[1, 4], [2, 1], [4, 3], [5, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [4, 3], [6, 3], [8, 1], [12, 1]], 1/995328],
[[[1, 4], [2, 1], [4, 3], [8, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/589824],
[[[1, 4], [2, 1], [5, 1], [6, 1], [8, 1], [11, 1]], 1/10560],
[[[1, 4], [2, 1], [5, 1], [7, 1], [8, 1], [9, 1]], 1/80640],
[[[1, 4], [2, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [8, 1]], 1/33600],
[[[1, 4], [2, 1], [5, 2], [6, 1], [8, 1], [9, 1]], 1/86400],
[[[1, 4], [2, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/101376],
[[[1, 4], [2, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/17418240],
[[[1, 4], [2, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/248832],
[[[1, 4], [2, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/241920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 5]], 11/2799360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [22, 1]], 1/7920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 3]], 1/460800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/4704],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 1/15552],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 5/93312],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [11, 1]], 721/2433024],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 7/114048],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/55296],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 1/6220800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [12, 2]], 31/331776],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [7, 1]], 1/580608],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [14, 1]], 5/2612736],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 29/1119744],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [8, 1]], 5/8957952],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [10, 1]], 1/4478976],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [12, 1]], 403/53747712],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 3/14336],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [12, 2]], 5/96768],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [11, 1]], 7/33792],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [22, 1]], 23/101376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [18, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [11, 1]], 1/12672],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [11, 1], [12, 1]], 307/1216512],
[[[1, 4], [2, 3], [3, 1], [4, 1], [12, 1], [22, 1]], 1/19008],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 4]], 1/1244160],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/20480],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/96000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/368640],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/61440],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 71/384000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 79/921600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 133/608256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 19/202752],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 85/1327104],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/1382400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 403/1327104],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 5/2322432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 17/331776],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [8, 1]], 1/442368],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [10, 1]], 13/19906560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 41/884736],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 31/193536],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 7/110592],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 11/73728],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [14, 1], [18, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 31/829440],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 43/5529600],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 35/442368],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 17/5529600],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/145152],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 11/2322432],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 41/995328],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 127/23887872],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 13/4976640],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 5/73728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/64512],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [10, 1]], 1/322560],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/21504],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 11/82944],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [18, 1]], 5/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 43/1935360],
[[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 7/3317760],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 41/737280],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 11/1228800],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 19/1548288],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [9, 1]], 11/1990656],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 1/165888],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 145/10616832],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 59/1327104],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 43/589824],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 1/884736],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 35/1769472],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/1105920],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 7/294912],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/1980],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [22, 1]], 1/7920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [7, 1]], 31/2903040],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [9, 1]], 1/77760],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/15552],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [10, 1]], 107/18662400],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [12, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 11/34560],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 11/33600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 7/64800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 1/10800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 17/576000],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [12, 1]], 1/172800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [12, 1]], 1/57600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [10, 1], [12, 1]], 17/96000],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 1/16128],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 73/152064],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [22, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [9, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/6336],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 1/32400],
[[[1, 4], [2, 3], [3, 1], [6, 1], [11, 1], [12, 1]], 7/152064],
[[[1, 4], [2, 3], [3, 1], [6, 1], [12, 1], [22, 1]], 7/152064],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/54432],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 1/345600],
[[[1, 4], [2, 3], [3, 1], [6, 2], [10, 2], [12, 1]], 1/43200],
[[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/13608],
[[[1, 4], [2, 3], [3, 1], [6, 3], [7, 1], [8, 1]], 5/1161216],
[[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [14, 1]], 25/3483648],
[[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [18, 1]], 85/746496],
[[[1, 4], [2, 3], [3, 1], [6, 3], [10, 1], [14, 1]], 151/26127360],
[[[1, 4], [2, 3], [3, 1], [6, 3], [10, 1], [18, 1]], 11/155520],
[[[1, 4], [2, 3], [3, 1], [6, 3], [12, 1], [14, 1]], 1/72576],
[[[1, 4], [2, 3], [3, 1], [6, 3], [12, 1], [18, 1]], 19/373248],
[[[1, 4], [2, 3], [3, 1], [6, 4], [8, 1], [10, 1]], 1/1658880],
[[[1, 4], [2, 3], [3, 1], [6, 4], [8, 1], [12, 1]], 7/995328],
[[[1, 4], [2, 3], [3, 1], [6, 4], [10, 1], [12, 1]], 1/207360],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 11/36288],
[[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/15120],
[[[1, 4], [2, 3], [3, 1], [8, 1], [14, 1], [18, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 1], [10, 1], [14, 1], [18, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 59/2488320],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/153600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 1/460800],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 19/864000],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [12, 1]], 157/2073600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 7/38016],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [22, 1]], 31/221184],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 41/331776],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 1/691200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 1/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 47/580608],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 17/746496],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 1/5225472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 533/5971968],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 49/4478976],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 11/22394880],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 19/139968],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 1/24576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [14, 1], [18, 1]], 1/72576],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 13/737280],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 13/645120],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 109/829440],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 17/1382400],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 145/1327104],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/819200],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1741/7962624],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 13/516096],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 59/1492992],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/344064],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 7/147456],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 13/373248],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 2023/5308416],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 11/193536],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [10, 1]], 1/60480],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 49/331776],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 91/497664],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [18, 1]], 1/82944],
[[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 7/103680],
[[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 167/995328],
[[[1, 4], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 19/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 19/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/663552],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 43/2322432],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 203/2985984],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/172032],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1/32768],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 11/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 61/165888],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 67/663552],
[[[1, 4], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 37/6635520],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 83/3538944],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 959/7962624],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/69120],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 11/576000],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 5797/17418240],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 83/466560],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 1/241920],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 29/552960],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 187/4665600],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [12, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 17/1451520],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 13/100800],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [12, 1]], 29/322560],
[[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 109/622080],
[[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 11/86400],
[[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 19/1036800],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [12, 1]], 7/86400],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 13/27216],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 7/138240],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 2], [12, 1]], 1/345600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/108864],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 17/145152],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 1/120960],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [12, 1]], 1/72576],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 13/82944],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 29/290304],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 115/746496],
[[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/77760],
[[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [12, 1]], 1/46656],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 211/1658880],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [14, 1]], 1/145152],
[[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [18, 1]], 1/62208],
[[[1, 4], [2, 3], [3, 2], [6, 3], [8, 1], [10, 1]], 113/4976640],
[[[1, 4], [2, 3], [3, 2], [6, 3], [8, 1], [12, 1]], 25/663552],
[[[1, 4], [2, 3], [3, 2], [6, 3], [10, 1], [12, 1]], 17/414720],
[[[1, 4], [2, 3], [3, 2], [7, 1], [8, 1], [12, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 2], [7, 1], [10, 1], [12, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [12, 1]], 17/248832],
[[[1, 4], [2, 3], [3, 2], [8, 1], [10, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 2], [9, 1], [10, 1], [12, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 17/497664],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 319/9953280],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/4147200],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 97/2985984],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/691200],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [12, 2]], 109/995328],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 95/2612736],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 985/5971968],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 17/290304],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 11/373248],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 7/110592],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 7/829440],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 467/995328],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 29/580608],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 179/8709120],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [12, 1]], 443/5225472],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 1/14580],
[[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [12, 1]], 2113/8957952],
[[[1, 4], [2, 3], [3, 3], [4, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 97/2211840],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/207360],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 443/24883200],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [12, 1]], 1361/29859840],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/110592],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 125/995328],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 107/1990656],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 119/6635520],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 473/995328],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 199/9953280],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 151/1492992],
[[[1, 4], [2, 3], [3, 3], [4, 2], [10, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 19/2488320],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 133/7962624],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [10, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 197/1990656],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 2719/26127360],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 109/466560],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 77/1658880],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 161/4665600],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [12, 1]], 127/1244160],
[[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [12, 1]], 7/829440],
[[[1, 4], [2, 3], [3, 3], [5, 1], [10, 1], [12, 1]], 1/38400],
[[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 605/10450944],
[[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [12, 1]], 11/72576],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 533/2239488],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [14, 1]], 1/387072],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [12, 1]], 59/373248],
[[[1, 4], [2, 3], [3, 3], [6, 1], [10, 1], [14, 1]], 13/967680],
[[[1, 4], [2, 3], [3, 3], [6, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 121/1658880],
[[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [12, 1]], 73/1990656],
[[[1, 4], [2, 3], [3, 3], [6, 2], [10, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 11/22394880],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [8, 1]], 1/622080],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 1/129600],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [12, 1]], 31/3732480],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 23/5225472],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 23/248832],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 1/580608],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 11/331776],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 121/7464960],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 11/62208],
[[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 1/622080],
[[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [12, 1]], 1/746496],
[[[1, 4], [2, 3], [3, 4], [4, 1], [10, 1], [12, 1]], 1/311040],
[[[1, 4], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 127/19906560],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 5/746496],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 7/7464960],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 12851/143327232],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [8, 1]], 71/14929920],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 43/4665600],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [12, 1]], 13/622080],
[[[1, 4], [2, 3], [3, 4], [6, 1], [8, 1], [12, 1]], 35/2985984],
[[[1, 4], [2, 3], [3, 4], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 5], [4, 1], [5, 1], [6, 1]], 37/22394880],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [8, 1]], 5/1119744],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [10, 1]], 1/174960],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [12, 1]], 1655/53747712],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [11, 1]], 1/3520],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [22, 1]], 1/21120],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/288000],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [7, 1]], 1/120960],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/107520],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/25920],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 4], [8, 1]], 1/1244160],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 4], [10, 1]], 7/4147200],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [9, 1]], 31/138240],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 17/128000],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 3/20480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/3200],
[[[1, 4], [2, 3], [4, 1], [5, 1], [14, 1], [18, 1]], 1/13440],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [9, 1]], 1/57600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 7/172800],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 39/128000],
[[[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]], 1/3200],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [11, 1]], 29/101376],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [9, 1]], 7/165888],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 7/165888],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 1/86400],
[[[1, 4], [2, 3], [4, 1], [6, 1], [11, 1], [12, 1]], 1/19008],
[[[1, 4], [2, 3], [4, 1], [6, 1], [12, 1], [22, 1]], 53/405504],
[[[1, 4], [2, 3], [4, 1], [6, 1], [12, 2], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [9, 1]], 1/72576],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [12, 1]], 7/221184],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [12, 2]], 1/69120],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 1/69120],
[[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/72576],
[[[1, 4], [2, 3], [4, 1], [6, 3], [8, 1], [14, 1]], 19/13934592],
[[[1, 4], [2, 3], [4, 1], [6, 3], [10, 1], [14, 1]], 1/1548288],
[[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [14, 1]], 25/1741824],
[[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [18, 1]], 85/995328],
[[[1, 4], [2, 3], [4, 1], [6, 4], [8, 1], [10, 1]], 19/29859840],
[[[1, 4], [2, 3], [4, 1], [6, 4], [10, 1], [12, 1]], 1/3732480],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 3], [4, 1], [7, 1], [9, 1], [10, 1]], 11/120960],
[[[1, 4], [2, 3], [4, 1], [7, 1], [9, 1], [12, 1]], 5/72576],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 2], [12, 1]], 1/38400],
[[[1, 4], [2, 3], [4, 1], [8, 1], [14, 1], [18, 1]], 19/193536],
[[[1, 4], [2, 3], [4, 1], [10, 1], [14, 1], [18, 1]], 1/21504],
[[[1, 4], [2, 3], [4, 1], [12, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 11/128000],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 19/967680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [14, 1]], 1/80640],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [18, 1]], 1/23040],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 53/3317760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 7/614400],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [12, 1]], 1/138240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 199/645120],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 13/89600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 11/53760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [9, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [18, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [5, 1], [9, 1], [10, 1]], 41/345600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [9, 1], [12, 1]], 1/12960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 19/268800],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [18, 1]], 11/76800],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 7/921600],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/48000],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [9, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 1/12288],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 11/73728],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 2], [12, 1]], 31/737280],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/43008],
[[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 11/248832],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/143360],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/30720],
[[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [14, 1]], 59/1548288],
[[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [18, 1]], 25/221184],
[[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [10, 1]], 1/1105920],
[[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 17/663552],
[[[1, 4], [2, 3], [4, 2], [6, 3], [10, 1], [12, 1]], 13/1244160],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/17920],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 2], [8, 1], [9, 1], [10, 1]], 7/138240],
[[[1, 4], [2, 3], [4, 2], [8, 1], [9, 1], [12, 1]], 7/82944],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 47/322560],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [18, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [18, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 19/161280],
[[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 11/387072],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [18, 1]], 1/69120],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 7/3317760],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 1/92160],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 41/307200],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 31/258048],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [9, 1]], 1/110592],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/516096],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 23/221184],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 17/829440],
[[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 1/28672],
[[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 131/1327104],
[[[1, 4], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 7/552960],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 1/368640],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/81920],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 19/589824],
[[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 1/737280],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [9, 1]], 1/51840],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [5, 1], [6, 1], [10, 2], [12, 1]], 11/96000],
[[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [5, 1], [6, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 1/16800],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/21600],
[[[1, 4], [2, 3], [5, 1], [6, 2], [12, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [5, 1], [6, 2], [12, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [5, 1], [6, 3], [8, 1], [10, 1]], 1/622080],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 11/22400],
[[[1, 4], [2, 3], [5, 1], [8, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 3/11200],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 3], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [9, 1]], 5/145152],
[[[1, 4], [2, 3], [6, 1], [8, 1], [10, 2], [12, 1]], 1/115200],
[[[1, 4], [2, 3], [6, 1], [8, 1], [14, 1], [18, 1]], 1/36288],
[[[1, 4], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 37/1451520],
[[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 11/1451520],
[[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [18, 1]], 43/622080],
[[[1, 4], [2, 3], [6, 2], [8, 1], [12, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 3], [6, 2], [8, 1], [12, 1], [18, 1]], 11/248832],
[[[1, 4], [2, 3], [6, 2], [10, 1], [12, 1], [14, 1]], 37/1935360],
[[[1, 4], [2, 3], [6, 2], [10, 1], [12, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 3], [6, 3], [8, 1], [10, 1], [12, 1]], 1/829440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 17/414720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 7/73728],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 221/576000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [12, 2]], 1/138240],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 17671/221184000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 13/230400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 53/288000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [12, 1]], 557/12288000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 131/608256],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 3545/7299072],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 2243/5308416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 49/259200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 883/26542080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 121/4644864],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [9, 1]], 1/31104],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 21433/104509440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 22861/53747712],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 311/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 10111/179159040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 79241/477757440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 601/11612160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 3/25600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 35/884736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 1], [18, 1]], 73/1451520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 367/4976640],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 41/967680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 17/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 13/161280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 251/3686400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1723/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 17/110592],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 31/829440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 251/1769472],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 5/62208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 43/193536],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 1213/2985984],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 955/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 91/995328],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 10295/23887872],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 5/55296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 727/6193152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 35/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 17/57344],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [18, 1]], 11/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 17/207360],
[[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [12, 1]], 7/62208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 991/3870720],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 461/6635520],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 131/884736],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 389/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 77/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 13/193536],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 53/497664],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 349/1935360],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 173/1492992],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 46061/127401984],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 5347/39813120],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1409/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 17/92160],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 1999/7077888],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 161/2211840],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 11/294912],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 433/1769472],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 449/8847360],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 2633/13271040],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 1/20480],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 241/288000],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 3643/92897280],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 7/155520],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 23/155520],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 13/331776],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 7631/37324800],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [12, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 53/774144],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/8400],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [12, 1]], 187/15482880],
[[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 19/165888],
[[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 551/4147200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 11/100800],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 67/691200],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 137/288000],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [12, 1]], 1/172800],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 5/108864],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 179/691200],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 2], [12, 1]], 7/691200],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 5/24192],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 407/9289728],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/322560],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [12, 1]], 1/193536],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [9, 1]], 7/124416],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 23/72576],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 649/1492992],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 953/2177280],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 1007/1866240],
[[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [14, 1]], 11/96768],
[[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 7/186624],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 691/7464960],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [12, 1]], 19/497664],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 1], [12, 1]], 251/2488320],
[[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [12, 1]], 23/1548288],
[[[1, 4], [2, 5], [3, 1], [7, 1], [10, 1], [12, 1]], 1/53760],
[[[1, 4], [2, 5], [3, 1], [8, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 11/129024],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 3529/19906560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 457/38707200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 47/777600],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 163/4147200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1171/5308416],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1891/11059200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 67/1769472],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1061/4423680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 31591/119439360],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 253/497664],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 4967/11943936],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 14191/35831808],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 43391/179159040],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 54661/95551488],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 29/1161216],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [12, 1]], 841/15482880],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 319/3981312],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 5/96768],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [18, 1]], 7/497664],
[[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 197/2488320],
[[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [12, 1]], 5513/59719680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 53/967680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 4373/26542080],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1229/11059200],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 887/13271040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 307/4644864],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 1175/5971968],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 10487/37158912],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 13/165888],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 4231/7962624],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 7309/26542080],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 9137/7962624],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 29/276480],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 407/2654208],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 77/1474560],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 34115/127401984],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 953/13271040],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 89/221184],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 275/3483648],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 631/3732480],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/193536],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 137/737280],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 20483/33177600],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [12, 1]], 1/51840],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 29/414720],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 1], [12, 1]], 263/5529600],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 41/580608],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [12, 1]], 5/145152],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 211/995328],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1591/23224320],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [18, 1]], 13/186624],
[[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 7/51840],
[[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [12, 1]], 11/373248],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 2053/18579456],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 4], [2, 5], [3, 2], [6, 1], [12, 1], [14, 1]], 5/580608],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1189/3317760],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 56813/597196800],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 763/59719680],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 313/6635520],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [12, 1]], 3919/298598400],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 2353/41803776],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1253/8957952],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 353/11612160],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [18, 1]], 11/373248],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 2039/7962624],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 4907/19906560],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 24581/53084160],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 17/1105920],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [12, 1]], 7/442368],
[[[1, 4], [2, 5], [3, 3], [4, 1], [10, 1], [12, 1]], 7/829440],
[[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 931/29859840],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 457/3981312],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 19/276480],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 121/497664],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 481/14929920],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 3863/37324800],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [12, 1]], 139/4976640],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 11/276480],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [12, 1]], 23/995328],
[[[1, 4], [2, 5], [3, 3], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 1057/179159040],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 343/23887872],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 13/466560],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 15425/286654464],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/6144],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 271/576000],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 13/322560],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 167/1244160],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 247/9953280],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 4843/44236800],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [12, 1]], 1/51840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 859/5160960],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 793/3225600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [12, 1]], 17/387072],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [9, 1]], 67/829440],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 11/107520],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [18, 1]], 7/138240],
[[[1, 4], [2, 5], [4, 1], [5, 1], [9, 1], [10, 1]], 77/460800],
[[[1, 4], [2, 5], [4, 1], [5, 1], [9, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 87/179200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [18, 1]], 77/368640],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 13/230400],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 539/1728000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [12, 1]], 1/172800],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [9, 1]], 25/580608],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 191/921600],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/4608],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 35/884736],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [12, 2]], 1/69120],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 857/5529600],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 5/16128],
[[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 505/2322432],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 131/442368],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 11/64512],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 47/165888],
[[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 113/580608],
[[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 19/93312],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 2077/59719680],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 191/3981312],
[[[1, 4], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 2183/29859840],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 3/35840],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 1/21504],
[[[1, 4], [2, 5], [4, 1], [8, 1], [9, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 3079/5160960],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [18, 1]], 121/829440],
[[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 5/64512],
[[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [18, 1]], 1/51840],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 379/3870720],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [9, 1]], 1/41472],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 3/35840],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 53/414720],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 17/138240],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 29/40960],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/5120],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 43/258048],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 11/161280],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 5/96768],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [9, 1]], 17/221184],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 613/1548288],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 665/1990656],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 73/276480],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 277/1105920],
[[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1495/6193152],
[[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 11/62208],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 539/3317760],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 245/884736],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 59/294912],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 103/552960],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1631/8294400],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 13/245760],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1513/4423680],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 6403/21233664],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 49/442368],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 197/3870720],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [9, 1]], 1/207360],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 5], [5, 1], [6, 1], [9, 1], [10, 1]], 7/103680],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3200],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 31/115200],
[[[1, 4], [2, 5], [5, 1], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 37/259200],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 1], [12, 1]], 37/460800],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1339/5806080],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 383/1244160],
[[[1, 4], [2, 5], [6, 1], [8, 1], [12, 1], [14, 1]], 103/3870720],
[[[1, 4], [2, 5], [6, 1], [10, 1], [12, 1], [14, 1]], 793/15482880],
[[[1, 4], [2, 5], [6, 2], [8, 1], [10, 1], [12, 1]], 7/331776],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 56633/895795200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 239/38707200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 461/49766400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 11/604800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 3341/110592000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 6847/26542080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 45749/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 253/11612160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 91663/139345920],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 283831/537477120],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 572767/1433272320],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 3332309/6270566400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 230911/1074954240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 37/3870720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 13/3870720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [12, 1]], 23/11612160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 227/9953280],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 167/1548288],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [18, 1]], 41/4976640],
[[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 13/1658880],
[[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [12, 1]], 1/995328],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 36223/174182400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [18, 1]], 37/2721600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 11/1451520],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 16417/132710400],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 107/2949120],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 1817/13824000],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 371/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 11/276480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 449/9953280],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 23467/46448640],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 5861/29859840],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 402679/637009920],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 237619/398131200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 11851/39813120],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 49/221184],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 3703/106168320],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1211/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 8231/132710400],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 15239/39813120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 21347/87091200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 10067/53084160],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 457/58060800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 431/49766400],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/44800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/86400],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 65/2654208],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 133849/398131200],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [12, 1]], 1/259200],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 5653/99532800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [12, 1]], 1/2211840],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 1], [12, 1]], 41/7372800],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 7/663552],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [12, 1]], 1/774144],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [9, 1]], 1/73728],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 1033/4644864],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 1481/29859840],
[[[1, 4], [2, 7], [3, 1], [6, 1], [9, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 158293/348364800],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 25849/149299200],
[[[1, 4], [2, 7], [3, 1], [6, 1], [12, 1], [14, 1]], 23/2903040],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 17017/49766400],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [12, 1]], 329/39813120],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 1], [12, 1]], 10969/199065600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 13477/119439360],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 463/66355200],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 311/13271040],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [12, 1]], 1/829440],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 37/2211840],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 2519/59719680],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 11213/55738368],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 667/14929920],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 195577/477757440],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 429857/597196800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 2405/18579456],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 251/8294400],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 79/13271040],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 649/33177600],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 43799/212336640],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 257/1036800],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 4597/39813120],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 11/1105920],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 46807/497664000],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [12, 1]], 191/66355200],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 61/1290240],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [12, 1]], 5/1327104],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 1], [12, 1]], 7/1382400],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 959/99532800],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 12161/477757440],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 4409/116121600],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 4267/179159040],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/76800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [9, 1]], 1/276480],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 41/537600],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 397/6220800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 77/1658880],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 31507/110592000],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [12, 1]], 79/8294400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 11413/36864000],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 973/49766400],
[[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 47/3096576],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [9, 1]], 19/1327104],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 4175/9289728],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 4583/19906560],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 83/122880],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 7351/16588800],
[[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 4169/46448640],
[[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 61/3732480],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 2881/7962624],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 461/8847360],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 991/6635520],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 1/76800],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1421/11059200],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 11869/36864000],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 1/345600],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 16897/26542080],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 431/3932160],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 601/3317760],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 6223/33177600],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 1], [12, 1]], 113/9216000],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 1], [12, 1]], 11/1814400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 745069/50164531200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 143/265420800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 12953/1161216000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [12, 1]], 1/44236800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 41/46448640],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 7/4976640],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 57023/365783040],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 13793/418037760],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 25807231/160526499840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 1510427/3135283200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 158461/7524679680],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 2627/99532800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 43/141557760],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 11/21772800],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 48827/5573836800],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 25805/222953472],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 286361/1114767360],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 457/37158912],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 17/16588800],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 146407/5225472000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 80477/1393459200],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [12, 1]], 31/1114767360],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 1], [12, 1]], 37/49766400],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 8101/5573836800],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 127073/8026324992],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 2841533/50164531200],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 37099/20065812480],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 319/43545600],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 114053/1161216000],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [12, 1]], 41/185794560],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 267923/1194393600],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 347/106168320],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 186937/8360755200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 124061/525533184000],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 808511/133772083200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 2028767/50164531200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 2377/12541132800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [11, 1]], 1/3520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 3]], 1/691200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/4032],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 1/31104],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/62208],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [11, 1]], 311/1622016],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [22, 1]], 1/152064],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [8, 2]], 1/995328],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [10, 2]], 1/24883200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [12, 2]], 13/663552],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [14, 1]], 1/10450944],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [18, 1]], 13/4478976],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 5], [12, 1]], 13/35831808],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 5/21504],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [12, 2]], 11/483840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 23/101376],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [22, 1]], 5/101376],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [18, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 7/190080],
[[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [22, 1]], 1/42240],
[[[1, 5], [2, 2], [3, 1], [4, 1], [10, 2], [14, 1]], 1/134400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [10, 2], [18, 1]], 1/345600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 1069/7299072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 4]], 1/2488320],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/552960],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 43/384000],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 7/153600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 103/608256],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [22, 1]], 1/45056],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 23/1769472],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 23/147456],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [7, 1]], 1/774144],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [14, 1]], 1/6967296],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [18, 1]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1]], 1/1990656],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [10, 1]], 1/14929920],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [12, 1]], 37/23887872],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 97/580608],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 7/294912],
[[[1, 5], [2, 2], [3, 1], [4, 2], [14, 1], [18, 1]], 1/96768],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 121/2903040],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 53/2488320],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 13/1843200],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 17/442368],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/5529600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/55296],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 29/23224320],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/2322432],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/995328],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [8, 1]], 5/11943936],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/49152],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [10, 1]], 1/161280],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 23/1290240],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [18, 1]], 5/165888],
[[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [10, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2]], 1/13271040],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 11/245760],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 7/921600],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/245760],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 1/995328],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/1548288],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [18, 1]], 1/663552],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 17/5308416],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 1/3317760],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/98304],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 1/184320],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 19/294912],
[[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 1/4423680],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/442368],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 7/1179648],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 19/31680],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [22, 1]], 1/31680],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1]], 1/2903040],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [18, 1]], 1/77760],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 4], [10, 1]], 1/1866240],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 11/16128],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/2016],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 1/8100],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 7/153600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 11/576000],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [12, 1]], 1/345600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [12, 1]], 1/76800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [10, 1], [12, 1]], 11/96000],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/32256],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 271/912384],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [22, 1]], 5/152064],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [22, 1]], 1/63360],
[[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/201600],
[[[1, 5], [2, 2], [3, 1], [6, 1], [11, 1], [12, 1]], 1/152064],
[[[1, 5], [2, 2], [3, 1], [6, 1], [12, 1], [22, 1]], 1/152064],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/108864],
[[[1, 5], [2, 2], [3, 1], [6, 3], [7, 1], [8, 1]], 11/5806080],
[[[1, 5], [2, 2], [3, 1], [6, 3], [8, 1], [18, 1]], 11/746496],
[[[1, 5], [2, 2], [3, 1], [6, 3], [10, 1], [14, 1]], 1/26127360],
[[[1, 5], [2, 2], [3, 1], [6, 3], [10, 1], [18, 1]], 1/155520],
[[[1, 5], [2, 2], [3, 1], [6, 3], [12, 1], [18, 1]], 1/373248],
[[[1, 5], [2, 2], [3, 1], [6, 4], [8, 1], [10, 1]], 1/14929920],
[[[1, 5], [2, 2], [3, 1], [6, 4], [8, 1], [12, 1]], 1/995328],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/2688],
[[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 1], [10, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 23/2488320],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/172800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [12, 2]], 7/207360],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 19/1382400],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 29/864000],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 7/64800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 1/6336],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [22, 1]], 109/2703360],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 5/331776],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 7/165888],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [7, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 1/248832],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [18, 1]], 1141/59719680],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [8, 1]], 1/2985984],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [10, 1]], 1/7464960],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 289/8957952],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 5/18144],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 1/73728],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 3]], 11/6635520],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 11/387072],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 23/165888],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 31/1382400],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 119/1769472],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 529/7962624],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 109/4644864],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 43/2985984],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 43/1990656],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1]], 47/11943936],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 1085/15925248],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/241920],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 271/2322432],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [18, 1]], 1/82944],
[[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 67/995328],
[[[1, 5], [2, 2], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 91/9953280],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 31/1105920],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 29/16588800],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 23/1658880],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 5/258048],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 101/2985984],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/663552],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 47/442368],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 5/221184],
[[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 37/6635520],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 23/1769472],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 343/3981312],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/69120],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 3949/17418240],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 23/186624],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [8, 1]], 23/4976640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [10, 1]], 11/746496],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [12, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 11/161280],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 13/151200],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [12, 1]], 53/322560],
[[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 11/69120],
[[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 13/129600],
[[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 29/1036800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [12, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 5/9072],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2]], 17/5529600],
[[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 5/193536],
[[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [10, 1]], 1/241920],
[[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [12, 1]], 1/145152],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 49/1492992],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [14, 1]], 17/2322432],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [18, 1]], 31/995328],
[[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [10, 1]], 1/311040],
[[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [12, 1]], 1/186624],
[[[1, 5], [2, 2], [3, 2], [6, 2], [10, 1], [14, 1]], 13/2322432],
[[[1, 5], [2, 2], [3, 2], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 2], [6, 3], [8, 1], [12, 1]], 7/663552],
[[[1, 5], [2, 2], [3, 2], [6, 3], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 2], [7, 1], [8, 1], [12, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 2], [7, 1], [10, 1], [12, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 2], [8, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [9, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 1/30720],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 167/3981312],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 11/77760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/6220800],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 23/1492992],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/2764800],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [12, 2]], 71/1990656],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 1/21504],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1157/11943936],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/1161216],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 7/497664],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 5/248832],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 1021/5971968],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 1/14336],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 611/43545600],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 3581/26127360],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 49/373248],
[[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 5/139968],
[[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 10247/53747712],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 233/6635520],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 91/9953280],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 23/2764800],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1211/29859840],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 109/6967296],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 11/110592],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/774144],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 47/1990656],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/552960],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 745/3981312],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 49/9953280],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 481/5971968],
[[[1, 5], [2, 2], [3, 3], [4, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 37/4976640],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 1/73728],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [10, 1]], 1/829440],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 49/663552],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 989/5225472],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 29/93312],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 121/4976640],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/86400],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 17/248832],
[[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 1/3317760],
[[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 2], [3, 3], [5, 1], [10, 1], [12, 1]], 7/172800],
[[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 2771/52254720],
[[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [12, 1]], 5/24192],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 239/1679616],
[[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 53/373248],
[[[1, 5], [2, 2], [3, 3], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 41/1658880],
[[[1, 5], [2, 2], [3, 3], [6, 2], [8, 1], [12, 1]], 1/124416],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 2]], 5/1492992],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 11/2488320],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 299/37324800],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 343/11197440],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 11/2612736],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 91/1119744],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 223/8957952],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [10, 1]], 43/22394880],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 2219/26873856],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 1/1244160],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [12, 1]], 23/1492992],
[[[1, 5], [2, 2], [3, 4], [4, 1], [10, 1], [12, 1]], 1/233280],
[[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 683/59719680],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 191/35831808],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1]], 1/1866240],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 6743/143327232],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [8, 1]], 263/44789760],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/248832],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [12, 1]], 31/622080],
[[[1, 5], [2, 2], [3, 4], [6, 1], [8, 1], [12, 1]], 59/8957952],
[[[1, 5], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 11/7464960],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 5/995328],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [10, 1]], 1/559872],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 2843/107495424],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1]], 1/4224],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1]], 67/276480],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 5], [2, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 3/22400],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [9, 1]], 1/86400],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 27/128000],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/38400],
[[[1, 5], [2, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/9600],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [11, 1]], 1/9216],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [9, 1]], 1/165888],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [18, 1]], 1/165888],
[[[1, 5], [2, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 7/1351680],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 2], [12, 1]], 1/221184],
[[[1, 5], [2, 2], [4, 1], [6, 3], [8, 1], [14, 1]], 1/13934592],
[[[1, 5], [2, 2], [4, 1], [6, 3], [10, 1], [14, 1]], 1/33177600],
[[[1, 5], [2, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 7/3317760],
[[[1, 5], [2, 2], [4, 1], [6, 4], [8, 1], [10, 1]], 1/29859840],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/5376],
[[[1, 5], [2, 2], [4, 1], [7, 1], [9, 1], [10, 1]], 11/604800],
[[[1, 5], [2, 2], [4, 1], [7, 1], [9, 1], [12, 1]], 11/362880],
[[[1, 5], [2, 2], [4, 1], [8, 1], [14, 1], [18, 1]], 1/193536],
[[[1, 5], [2, 2], [4, 1], [10, 1], [14, 1], [18, 1]], 1/460800],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/138240],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [18, 1]], 1/207360],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 3], [8, 1]], 1/1105920],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 3], [10, 1]], 1/1474560],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 43/215040],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 13/134400],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/10752],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [9, 1]], 7/138240],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [18, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 2], [5, 1], [9, 1], [10, 1]], 1/38400],
[[[1, 5], [2, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/268800],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [18, 1]], 1/20480],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 7/460800],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1]], 1/96000],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [9, 1]], 1/96768],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/36864],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 7/294912],
[[[1, 5], [2, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 1/124416],
[[[1, 5], [2, 2], [4, 2], [6, 3], [8, 1], [10, 1]], 1/3317760],
[[[1, 5], [2, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/1990656],
[[[1, 5], [2, 2], [4, 2], [8, 1], [9, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 2], [4, 2], [8, 1], [9, 1], [12, 1]], 1/82944],
[[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [18, 1]], 1/46080],
[[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 2], [4, 2], [10, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/129024],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/92160],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1105920],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 21/409600],
[[[1, 5], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1]], 1/36864],
[[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 1/368640],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 7/294912],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [9, 1]], 1/362880],
[[[1, 5], [2, 2], [5, 1], [6, 1], [10, 2], [12, 1]], 1/38400],
[[[1, 5], [2, 2], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1244160],
[[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 5], [2, 2], [5, 1], [8, 1], [9, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 2], [5, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 5], [2, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/19200],
[[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [9, 1]], 11/725760],
[[[1, 5], [2, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/921600],
[[[1, 5], [2, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/290304],
[[[1, 5], [2, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1451520],
[[[1, 5], [2, 2], [6, 2], [8, 1], [10, 1], [14, 1]], 1/967680],
[[[1, 5], [2, 2], [6, 2], [8, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 5], [2, 2], [6, 2], [8, 1], [12, 1], [14, 1]], 1/387072],
[[[1, 5], [2, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/165888],
[[[1, 5], [2, 2], [6, 2], [10, 1], [12, 1], [14, 1]], 1/1935360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 13/466560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 539/1728000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1891/11059200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 191/921600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 271/576000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 857/5529600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 3545/7299072],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 131/608256],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1171/5308416],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 163/4147200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 67/1769472],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 353/11612160],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1]], 11/373248],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 2353/41803776],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1253/8957952],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 343/23887872],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1057/179159040],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 15425/286654464],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 5/16128],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 13/230400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 35/884736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [14, 1], [18, 1]], 25/580608],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 19/276480],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 73/276480],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 277/1105920],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 11/161280],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 17/110592],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 1723/2654208],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 251/3686400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 31/829440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 10487/37158912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 13/165888],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 307/4644864],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 1175/5971968],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 457/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 931/29859840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 121/497664],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 613/1548288],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 3/35840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1495/6193152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 665/1990656],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 43/258048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [18, 1]], 17/221184],
[[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 53/414720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 11/62208],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 379/3870720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 5/96768],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 953/13271040],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1513/4423680],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1631/8294400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 49/442368],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 349/1935360],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 173/1492992],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 13/193536],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 53/497664],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 34115/127401984],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 77/1474560],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 89/221184],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 103/552960],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 6403/21233664],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 13/245760],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 449/8847360],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 433/1769472],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 11/294912],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 2633/13271040],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/12288],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 137/288000],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 2053/18579456],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 1/12960],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 7/51840],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 11/276480],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 3863/37324800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1339/5806080],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [12, 1]], 793/15482880],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 383/1244160],
[[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 31/115200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/16800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [18, 1]], 7/103680],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 179/691200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 241/288000],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [12, 1]], 7/691200],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 5/24192],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 67/691200],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 5/108864],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1591/23224320],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/193536],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [12, 1]], 5/580608],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1]], 13/186624],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 41/580608],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 211/995328],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 275/3483648],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 631/3732480],
[[[1, 5], [2, 4], [3, 1], [6, 2], [12, 1], [14, 1]], 5/145152],
[[[1, 5], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 11/373248],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 481/14929920],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [12, 1]], 23/995328],
[[[1, 5], [2, 4], [3, 1], [6, 3], [10, 1], [12, 1]], 139/4976640],
[[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [12, 1]], 103/3870720],
[[[1, 5], [2, 4], [3, 1], [7, 1], [10, 1], [12, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 197/3870720],
[[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 4907/19906560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 11/64512],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 47/165888],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 49/259200],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 2243/5308416],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 17671/221184000],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 883/26542080],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 253/497664],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 4967/11943936],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1061/4423680],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 31591/119439360],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 2039/7962624],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 56813/597196800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 24581/53084160],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 505/2322432],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 113/580608],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 131/442368],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [18, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 167/1244160],
[[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 19/93312],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 13/322560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 7309/26542080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 539/3317760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 59/294912],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 43/193536],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 1213/2985984],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 251/1769472],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 5/62208],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 4231/7962624],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 4373/26542080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 9137/7962624],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 17/138240],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 245/884736],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 5347/39813120],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 46061/127401984],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 461/6635520],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1409/2654208],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 953/2177280],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1007/1866240],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1189/3317760],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 20483/33177600],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [12, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 37/259200],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [12, 1]], 7/331776],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 1], [12, 1]], 37/460800],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 23/72576],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [12, 1]], 11/96768],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 649/1492992],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 407/9289728],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [18, 1]], 7/124416],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 23/155520],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 7/186624],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 3643/92897280],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 7/155520],
[[[1, 5], [2, 4], [3, 2], [6, 1], [12, 1], [14, 1]], 1/193536],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 137/737280],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 43391/179159040],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 2077/59719680],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 4843/44236800],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 2183/29859840],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 21433/104509440],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 22861/53747712],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 121/4644864],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [18, 1]], 1/31104],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 14191/35831808],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 3529/19906560],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 54661/95551488],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 247/9953280],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 191/3981312],
[[[1, 5], [2, 4], [3, 3], [4, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 91/995328],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 955/3981312],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 367/4976640],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 10295/23887872],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 691/7464960],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 7631/37324800],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [12, 1]], 251/2488320],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 13/331776],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [12, 1]], 19/497664],
[[[1, 5], [2, 4], [3, 3], [6, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 10111/179159040],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 311/3981312],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 17/414720],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 79241/477757440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5120],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 53/288000],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 53/967680],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [9, 1]], 1/77760],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 197/2488320],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 17/1105920],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 313/6635520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [12, 1]], 7/829440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 3079/5160960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 87/179200],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [9, 1]], 121/829440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 3/35840],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [18, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [5, 1], [9, 1], [10, 1]], 77/368640],
[[[1, 5], [2, 4], [4, 1], [5, 1], [9, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 793/3225600],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [18, 1]], 77/460800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 3/25600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 221/576000],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [9, 1]], 73/1451520],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 13/230400],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 7/73728],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 35/884736],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [12, 2]], 1/138240],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 557/12288000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 601/11612160],
[[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/96768],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [9, 1]], 7/497664],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 29/1161216],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 319/3981312],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 457/38707200],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 47/777600],
[[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 841/15482880],
[[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 5513/59719680],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 763/59719680],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [12, 1]], 7/442368],
[[[1, 5], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 3919/298598400],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 11/107520],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 5/64512],
[[[1, 5], [2, 4], [4, 1], [8, 1], [9, 1], [10, 1]], 7/138240],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 859/5160960],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [18, 1]], 67/829440],
[[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/21504],
[[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 17/387072],
[[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 991/3870720],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [9, 1]], 1/34560],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 17/207360],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 29/276480],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1229/11059200],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/46080],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 29/40960],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 17/57344],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 13/161280],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [9, 1]], 11/221184],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 5/55296],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 35/221184],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 41/967680],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 17/221184],
[[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 727/6193152],
[[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 7/62208],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/55296],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 407/2654208],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 887/13271040],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 17/92160],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 389/2764800],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 161/2211840],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 131/884736],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1999/7077888],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 77/1105920],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 11/129024],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 11/100800],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 1/11520],
[[[1, 5], [2, 4], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/8400],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 551/4147200],
[[[1, 5], [2, 4], [5, 1], [6, 1], [12, 1], [14, 1]], 1/53760],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 29/414720],
[[[1, 5], [2, 4], [5, 1], [6, 2], [10, 1], [12, 1]], 263/5529600],
[[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 53/774144],
[[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 19/165888],
[[[1, 5], [2, 4], [6, 1], [8, 1], [12, 1], [14, 1]], 23/1548288],
[[[1, 5], [2, 4], [6, 1], [10, 1], [12, 1], [14, 1]], 187/15482880],
[[[1, 5], [2, 4], [6, 2], [8, 1], [10, 1], [12, 1]], 1/122880],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 2377/14929920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 8723/116121600],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 5071/49766400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 13/241920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 949/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 1123/1769472],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 37853/66355200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 59699/464486400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 307/2985984],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 3497/6635520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 32909/59719680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 38245/95551488],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 292513/895795200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 93511/358318080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1489/15482880],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 109/1935360],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 8777/232243200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 97/737280],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 275/1548288],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [18, 1]], 61/1990656],
[[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 191/2488320],
[[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [12, 1]], 23/1492992],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 341/1612800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [18, 1]], 373/12441600],
[[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 5/290304],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 307/884736],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 3617/14745600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 3233/7372800],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 3037/33177600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1549/6635520],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 949/4976640],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 25561/46448640],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 17887/59719680],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 647449/637009920],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 47443/79626240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 5767/9953280],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 163/368640],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 17209/106168320],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 131/2654208],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 34009/132710400],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 28339/31850496],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 25351/66355200],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 12851/26542080],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 421/4644864],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 787/9953280],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/19200],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 7/155520],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 419/3317760],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 11663/22118400],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [12, 1]], 13/829440],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 6829/33177600],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [12, 1]], 1/276480],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 1], [12, 1]], 193/11059200],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 2161/23224320],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [12, 1]], 23/2322432],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1]], 491/5971968],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 1123/4644864],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 41/368640],
[[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 111259/348364800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 5507/29859840],
[[[1, 5], [2, 6], [3, 1], [6, 1], [12, 1], [14, 1]], 11/725760],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 989/3317760],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [12, 1]], 313/19906560],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 1], [12, 1]], 2147/39813120],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 33871/66355200],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 547/7372800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 11243/66355200],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 3089/99532800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 3247/19906560],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 2825/11943936],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 20569/77414400],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 419/3732480],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 53473/53084160],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 6767/7372800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 19999/59719680],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 187/1658880],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 7/221184],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 1], [12, 1]], 13/1105920],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 623/2764800],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 149119/212336640],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1943/4423680],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 104779/238878720],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 119/1105920],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 17873/49766400],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [12, 1]], 97/4423680],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 3139/22118400],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [12, 1]], 11/884736],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 1], [12, 1]], 7/414720],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 71923/895795200],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 45143/286654464],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 14023/99532800],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 15167/119439360],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 67/774144],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [9, 1]], 7/311040],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 61/552960],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 203/1658880],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 7/55296],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 22829/66355200],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [12, 1]], 67/3317760],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 13/16384],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 31/614400],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 331/3096576],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [12, 1]], 1/96768],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1]], 143/3981312],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 3323/9289728],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 5377/19906560],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 14449/38707200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 16121/49766400],
[[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 11111/116121600],
[[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 1/36864],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 9329/39813120],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 1637/26542080],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 5531/49766400],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 853/2211840],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 2087/3686400],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 13/368640],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 607/983040],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 23437/106168320],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1411/6635520],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 10061/33177600],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 1], [12, 1]], 31/1382400],
[[[1, 5], [2, 6], [6, 1], [8, 1], [10, 1], [12, 1]], 3/409600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 591571/5573836800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 4997/265420800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 42851/497664000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 29/26542080],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 137/7257600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 1121/59719680],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 2141/6531840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 134321/1254113280],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 603077/1274019840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 12958721/16721510400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 389311/5016453120],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 11941/116121600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 581/212336640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 53/14745600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 575167/5573836800],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 143057/278691840],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 10459583/16721510400],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 320651/4180377600],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1183/66355200],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 717869/5225472000],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [12, 1]], 1/3317760],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 596243/4180377600],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [12, 1]], 11/79626240],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 1], [12, 1]], 247/87091200],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 28463/796262400],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 3366673/26754416640],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 17228069/83607552000],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 31397/1433272320],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 647/11059200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1447/5184000],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [12, 1]], 223/132710400],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 445061/1194393600],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 16507/1486356480],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 9863/221184000],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 1591721/334430208000],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1161689/26754416640],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 7507127/50164531200],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1442089/802632499200],
[[[1, 5], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/921600],
[[[1, 5], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/153600],
[[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/110592],
[[[1, 5], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/5971968],
[[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/48384],
[[[1, 5], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/7741440],
[[[1, 5], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/1290240],
[[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/483840],
[[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/25920],
[[[1, 5], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/387072],
[[[1, 5], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/497664],
[[[1, 5], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/64512],
[[[1, 5], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/82944],
[[[1, 5], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 5], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 5], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/829440],
[[[1, 5], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 5], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 17/663552],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 1/7040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 3]], 1/2764800],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/9600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/14112],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 2]], 1/186624],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [11, 1]], 1/540672],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [12, 2]], 1/663552],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 5], [12, 1]], 1/35831808],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [12, 2]], 1/483840],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 7/304128],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/190080],
[[[1, 6], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 145/7299072],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 2]], 1/2764800],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/61440],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/76800],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 1/460800],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [11, 1]], 1/45056],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [8, 2]], 1/1769472],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [12, 2]], 7/1474560],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 4], [12, 1]], 7/79626240],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 37/967680],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 11/2488320],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/460800],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 2], [7, 1]], 1/5806080],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 3], [8, 1]], 1/7962624],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 5/258048],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [10, 1]], 1/322560],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 1/161280],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [10, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 1/248832],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 1/737280],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 1/737280],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/1769472],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/1179648],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/4224],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 701/1451520],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/4480],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1]], 1/21600],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 2], [8, 1]], 1/1843200],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 2], [10, 1]], 1/230400],
[[[1, 6], [2, 1], [3, 1], [5, 2], [8, 1], [12, 1]], 1/307200],
[[[1, 6], [2, 1], [3, 1], [5, 2], [10, 1], [12, 1]], 1/38400],
[[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/228096],
[[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [22, 1]], 1/304128],
[[[1, 6], [2, 1], [3, 1], [6, 3], [7, 1], [8, 1]], 1/5806080],
[[[1, 6], [2, 1], [3, 1], [6, 3], [8, 1], [18, 1]], 1/746496],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/10752],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [12, 2]], 1/207360],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2]], 1/276480],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 29/1382400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 13/864000],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 97/2073600],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 13/456192],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [22, 1]], 161/24330240],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [12, 2]], 1/165888],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [7, 1]], 1/1161216],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1]], 1/1492992],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [18, 1]], 161/59719680],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 4], [12, 1]], 1/8957952],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/8064],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 3]], 1/6635520],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 157/5806080],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 41/829440],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/92160],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 17/1769472],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [7, 1]], 31/23224320],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [9, 1]], 5/5971968],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/96768],
[[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 31/3870720],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 5/995328],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [6, 2]], 1/2488320],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 13/1105920],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [10, 1]], 1/691200],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 1/207360],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [8, 1]], 1/2654208],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/49152],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1105920],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [7, 1]], 221/11612160],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 3], [8, 1]], 1/2488320],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 61/967680],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/60480],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [12, 1]], 221/1935360],
[[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/51840],
[[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 13/1036800],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [12, 1]], 1/28800],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/6804],
[[[1, 6], [2, 1], [3, 2], [6, 2], [7, 1], [8, 1]], 1/774144],
[[[1, 6], [2, 1], [3, 2], [6, 2], [8, 1], [9, 1]], 1/995328],
[[[1, 6], [2, 1], [3, 2], [6, 2], [8, 1], [18, 1]], 1/497664],
[[[1, 6], [2, 1], [3, 2], [6, 3], [8, 1], [12, 1]], 1/663552],
[[[1, 6], [2, 1], [3, 2], [7, 1], [8, 1], [12, 1]], 1/129024],
[[[1, 6], [2, 1], [3, 2], [8, 1], [9, 1], [12, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 13/2488320],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 293/27869184],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 13/155520],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/24883200],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1/663552],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [7, 1]], 1/96768],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 19/3981312],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [18, 1]], 1/248832],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 55/1990656],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1591/69672960],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 121/43545600],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1741/26127360],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 43/1119744],
[[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/174960],
[[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 2051/53747712],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 2]], 7/6635520],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 49/9953280],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 49/39813120],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 7/1105920],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 5/580608],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/62208],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1]], 1/1327104],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 109/2949120],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [12, 1]], 1/221184],
[[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 5/2654208],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 89/3981312],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 11/120960],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 11/77760],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 2], [8, 1]], 1/1658880],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 2], [10, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 3], [5, 1], [8, 1], [12, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 3], [5, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 121/52254720],
[[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [12, 1]], 5/72576],
[[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/209952],
[[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [6, 2]], 1/311040],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 139/29859840],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 37/18662400],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 253/11197440],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 17/10450944],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 53/4478976],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1]], 11/4478976],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [10, 1]], 1/5598720],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 251/26873856],
[[[1, 6], [2, 1], [3, 4], [4, 1], [8, 1], [12, 1]], 11/746496],
[[[1, 6], [2, 1], [3, 4], [4, 1], [10, 1], [12, 1]], 1/933120],
[[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 337/59719680],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 7/17915904],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 37/22394880],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 7/207360],
[[[1, 6], [2, 1], [3, 4], [6, 1], [8, 1], [12, 1]], 1/1119744],
[[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1], [6, 1]], 1/22394880],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 5/4478976],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 101/35831808],
[[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/14080],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 121/1935360],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/19200],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/345600],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/25600],
[[[1, 6], [2, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/4055040],
[[[1, 6], [2, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/696729600],
[[[1, 6], [2, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/9953280],
[[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 31/967680],
[[[1, 6], [2, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/604800],
[[[1, 6], [2, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/362880],
[[[1, 6], [2, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/9676800],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 6], [2, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/138240],
[[[1, 6], [2, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 7/921600],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/294912],
[[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 6], [2, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/9953280],
[[[1, 6], [2, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 6], [2, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/725760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4]], 13/14929920],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 79/691200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [12, 2]], 1/115200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 457/2949120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 17/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 679/1728000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 12511/66355200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 31/76032],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [22, 1]], 493/12165120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 283/10616832],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 1/276480],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 25/1769472],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 109/11612160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1]], 1/186624],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 11/5971968],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 317/14929920],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1]], 29/35831808],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1]], 523/1791590400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 3577/477757440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 1051/2322432],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 1/65536],
[[[1, 6], [2, 3], [3, 1], [4, 1], [14, 1], [18, 1]], 5/580608],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 7/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 257/645120],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 823/3317760],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 47/345600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 523/2654208],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/147456],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 311/14929920],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 30977/185794560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1]], 49/1492992],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 13/1548288],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 133/4976640],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 277/23887872],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 13/9953280],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 53/1474560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 613/1548288],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 15011/92897280],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 61/248832],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 5/258048],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 11/172800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 7/77760],
[[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 11/614400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [18, 1]], 1/138240],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1273/66355200],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 533/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1619/16588800],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 191/3686400],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 97/645120],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 71/1658880],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/86016],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [18, 1]], 17/663552],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 2675/42467328],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 59/13271040],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 235/2654208],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 83/1105920],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 2041/21233664],
[[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 1/737280],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 601/26542080],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 11/147456],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 7/1474560],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 2567/29859840],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 23/552960],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 19/192000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 128473/1393459200],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/23328],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/120960],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1]], 1/1382400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 161/14929920],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 289/829440],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 19/67200],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [12, 1]], 1937/25804800],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 407/1244160],
[[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 269/1382400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 2173/8294400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 23/38400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [12, 1]], 1/172800],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 41/181440],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 23/2764800],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 2], [12, 1]], 1/1382400],
[[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/435456],
[[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 743/23224320],
[[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 11/4838400],
[[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [12, 1]], 11/2903040],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1]], 11/622080],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 11/1161216],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 91/2985984],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 11/1451520],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 17/1244160],
[[[1, 6], [2, 3], [3, 1], [6, 2], [12, 1], [14, 1]], 1/580608],
[[[1, 6], [2, 3], [3, 1], [6, 2], [12, 1], [18, 1]], 1/248832],
[[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 7/2488320],
[[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [12, 1]], 1/331776],
[[[1, 6], [2, 3], [3, 1], [6, 3], [10, 1], [12, 1]], 1/1658880],
[[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [12, 1]], 71/3870720],
[[[1, 6], [2, 3], [3, 1], [7, 1], [10, 1], [12, 1]], 11/806400],
[[[1, 6], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 17/3870720],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1613/13271040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 8969/23224320],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 2411/4976640],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 11/38400],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 7745/31850496],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1531/110592000],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 719/79626240],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 22129/55738368],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 6119/23887872],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 131/2903040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 2011/29859840],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 5347/119439360],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 211/22118400],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 62339/477757440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 5/13824],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 11/259200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 31711/139345920],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 1291/3981312],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [18, 1]], 1/165888],
[[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 149/2073600],
[[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 3109/19906560],
[[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/193536],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 2761/15925248],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 863/3317760],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1013/8294400],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 1459/7962624],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 491/1935360],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 583/1990656],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1301/61931520],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1199/4976640],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 5137/132710400],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 16433/39813120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 37/829440],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 41/248832],
[[[1, 6], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 11/1382400],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 4493/39813120],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 2623/14155776],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 211/13271040],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 9799/39813120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 2713/3483648],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 433/622080],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 2233/9953280],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 21031/99532800],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [12, 1]], 1/124416],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 101/921600],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [12, 1]], 7/331776],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 1], [12, 1]], 109/1843200],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 6541/17418240],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [12, 1]], 83/725760],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 397/1244160],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 17/3096576],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [18, 1]], 1/248832],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 5/373248],
[[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [14, 1]], 359/51609600],
[[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 1/311040],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 53/1327104],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [12, 1]], 31/4976640],
[[[1, 6], [2, 3], [3, 2], [6, 2], [10, 1], [12, 1]], 1/414720],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 36671/179159040],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 223/2488320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 9079/110592000],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 19799/149299200],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 3827/14929920],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 7759/17915904],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/221184],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [18, 1]], 1/124416],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 2483/11943936],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 10523/199065600],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 8257/31850496],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 113/9953280],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 11/186624],
[[[1, 6], [2, 3], [3, 3], [4, 1], [10, 1], [12, 1]], 1/82944],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 29/276480],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 4009/23887872],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 803/29859840],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 4655/17915904],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 4933/37324800],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 10541/74649600],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [12, 1]], 113/829440],
[[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [12, 1]], 11/497664],
[[[1, 6], [2, 3], [3, 3], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 34231/358318080],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 11273/119439360],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 467/27993600],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 715499/4299816960],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 19/967680],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 13/2488320],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1]], 1/3317760],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 77/132710400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1177/1720320],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 2699/8064000],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 449/4838400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [18, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1]], 1231/13824000],
[[[1, 6], [2, 3], [4, 1], [5, 1], [9, 1], [12, 1]], 1/86400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 73/3225600],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [18, 1]], 77/1843200],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/11520],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 241/1152000],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/172800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [9, 1]], 29/1451520],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1/65536],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 2], [12, 1]], 11/18432000],
[[[1, 6], [2, 3], [4, 1], [6, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 11/967680],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/497664],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/774144],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 233/19906560],
[[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1814400],
[[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [18, 1]], 137/24883200],
[[[1, 6], [2, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 1/483840],
[[[1, 6], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 29/7464960],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/1244160],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 1/663552],
[[[1, 6], [2, 3], [4, 1], [6, 3], [10, 1], [12, 1]], 11/33177600],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 11/537600],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 11/322560],
[[[1, 6], [2, 3], [4, 1], [8, 1], [9, 1], [10, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 313/25804800],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 1], [10, 1], [12, 1], [14, 1]], 1/1935360],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 259/1105920],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [9, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/322560],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 13/552960],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 11/442368],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 473/1843200],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 11/92160],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 269/1548288],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1]], 11/806400],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 11/483840],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [9, 1]], 5/331776],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 7/5529600],
[[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 223/30965760],
[[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/82944],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 11/552960],
[[[1, 6], [2, 3], [4, 2], [6, 2], [10, 1], [12, 1]], 7/7372800],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 79/1105920],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 11/368640],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 47/2211840],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 541/7077888],
[[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 11/2211840],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 509/9676800],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [9, 1]], 1/172800],
[[[1, 6], [2, 3], [5, 1], [6, 1], [9, 1], [10, 1]], 1/207360],
[[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 7/414720],
[[[1, 6], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 5/331776],
[[[1, 6], [2, 3], [5, 1], [6, 2], [10, 1], [12, 1]], 7/552960],
[[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/184320],
[[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 7/829440],
[[[1, 6], [2, 3], [6, 1], [8, 1], [12, 1], [14, 1]], 1/516096],
[[[1, 6], [2, 3], [6, 1], [10, 1], [12, 1], [14, 1]], 31/77414400],
[[[1, 6], [2, 3], [6, 2], [8, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 14023/99532800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 14449/38707200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 16121/49766400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 37853/66355200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 1123/1769472],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 949/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 20569/77414400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 419/3732480],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 3247/19906560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 2825/11943936],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 45143/286654464],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 71923/895795200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 15167/119439360],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 3323/9289728],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 61/552960],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 11111/116121600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 5377/19906560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 331/3096576],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [18, 1]], 143/3981312],
[[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 203/1658880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 67/774144],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [18, 1]], 7/311040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 1/96768],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1943/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 607/983040],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 2087/3686400],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1411/6635520],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 25561/46448640],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 17887/59719680],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1549/6635520],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 949/4976640],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 149119/212336640],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 623/2764800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 104779/238878720],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 853/2211840],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 23437/106168320],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 13/368640],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 25351/66355200],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 28339/31850496],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 34009/132710400],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 12851/26542080],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 111259/348364800],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 5507/29859840],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/25920],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 3139/22118400],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 17873/49766400],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [12, 1]], 7/414720],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 10061/33177600],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [12, 1]], 3/409600],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 1], [12, 1]], 31/1382400],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1123/4644864],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/19200],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [12, 1]], 11/725760],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 41/368640],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 2161/23224320],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 491/5971968],
[[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 7/155520],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 421/4644864],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 787/9953280],
[[[1, 6], [2, 5], [3, 1], [6, 1], [12, 1], [14, 1]], 23/2322432],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 119/1105920],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [12, 1]], 11/884736],
[[[1, 6], [2, 5], [3, 1], [6, 2], [10, 1], [12, 1]], 97/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 6767/7372800],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 9329/39813120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 22829/66355200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 5531/49766400],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 3497/6635520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 32909/59719680],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 59699/464486400],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 307/2985984],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 53473/53084160],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 33871/66355200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 19999/59719680],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 7/55296],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 1637/26542080],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 1], [12, 1]], 67/3317760],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 47443/79626240],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 647449/637009920],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 307/884736],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 5767/9953280],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 989/3317760],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 11663/22118400],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [12, 1]], 2147/39813120],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 419/3317760],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [12, 1]], 313/19906560],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 1], [12, 1]], 13/829440],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 292513/895795200],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 38245/95551488],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 2377/14929920],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 93511/358318080],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 341/1612800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1]], 373/12441600],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 109/1935360],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 191/2488320],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 187/1658880],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 11243/66355200],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [12, 1]], 13/1105920],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 13/16384],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 31/614400],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 275/1548288],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 13/241920],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 5/290304],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1]], 61/1990656],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1489/15482880],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 97/737280],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 8723/116121600],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 5071/49766400],
[[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 8777/232243200],
[[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 23/1492992],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 547/7372800],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 7/221184],
[[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 3089/99532800],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 163/368640],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 3233/7372800],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 131/2654208],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 3617/14745600],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 17209/106168320],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 3037/33177600],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 6829/33177600],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 1], [12, 1]], 193/11059200],
[[[1, 6], [2, 5], [6, 1], [8, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1141679/3981312000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 2167/16588800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 551/1990656],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 10099/663552000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 4691/38707200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 25549/298598400],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 105743/348364800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 21817/149299200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 120271/191102976],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 294097/477757440],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 436301/3583180800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 337/1658880],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 569/53084160],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 1111/132710400],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 36419/88473600],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 20453/19906560],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 192827/265420800],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 891937/4777574400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1979/22118400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 47663/165888000],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [12, 1]], 1/414720],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 77437/464486400],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [12, 1]], 1/2949120],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 1], [12, 1]], 71/16588800],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 187357/796262400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 518483/1274019840],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 465571/1327104000],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 594547/7166361600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 233/1327104],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 13171/33177600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 893/132710400],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 10537/33177600],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 1169/70778880],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 571513/13934592000],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 3298033/83607552000],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 6037123/40131624960],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 3957331/14332723200],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 2310389/267544166400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 5/73728],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 11/691200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [12, 2]], 11/7257600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 127/2457600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 257/1382400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 191/1728000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 3007/33177600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 247/2433024],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [22, 1]], 1/506880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 19/10616832],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 31/26542080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1]], 13/23224320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [18, 1]], 5/5971968],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1]], 1/23887872],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1]], 1/597196800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 787/1433272320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 23/103680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/589824],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3]], 1/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 1921/9676800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 1439/16588800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 109/2211840],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 13/884736],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 23/14929920],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 1493/185794560],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1]], 7/1492992],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [18, 1]], 11/9953280],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1]], 7/23887872],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 1/622080],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 773/7741440],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 2879/92897280],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 23/368640],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [18, 1]], 5/663552],
[[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 11/1036800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 17/1244160],
[[[1, 7], [2, 2], [3, 1], [4, 2], [10, 1], [14, 1]], 11/12902400],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 191/87091200],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 107/2211840],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 247/16588800],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 379/58060800],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/36864],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 263/29859840],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 115/42467328],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/122880],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 19/7077888],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 121/26542080],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 23/1769472],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 1421/119439360],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/276480],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/115200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 4547/278691840],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 7/933120],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1]], 11/87091200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [10, 1]], 1/14929920],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 41/184320],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 59/604800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [12, 1]], 47/1032192],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 41/276480],
[[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 91/2073600],
[[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 791/8294400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 17/115200],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [12, 1]], 1/1382400],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 29/435456],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2]], 1/2764800],
[[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 29/15482880],
[[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [10, 1]], 1/4838400],
[[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [12, 1]], 1/2903040],
[[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1]], 1/3732480],
[[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [14, 1]], 1/1161216],
[[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [18, 1]], 1/497664],
[[[1, 7], [2, 2], [3, 1], [6, 2], [10, 1], [14, 1]], 1/5806080],
[[[1, 7], [2, 2], [3, 1], [7, 1], [8, 1], [12, 1]], 13/2580480],
[[[1, 7], [2, 2], [3, 1], [7, 1], [10, 1], [12, 1]], 1/806400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3]], 77/13271040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 949/2903040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 173/552960],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 601/4147200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 521/31850496],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 161/221184000],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 353/557383680],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 167/1935360],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/23328],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 23/13271040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 203/39813120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1]], 1/497664],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1]], 1/24883200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 36599/3344302080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 79/430080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 47/3628800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 827/8709120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 713/6635520],
[[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 1429/111974400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 3049/67184640],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 10177/398131200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 403/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 413/11059200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 9991/199065600],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 2293/23224320],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 13/207360],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 23/8847360],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [18, 1]], 1/165888],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 19/995328],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 59/44236800],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 263/4423680],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/331776],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 893/39813120],
[[[1, 7], [2, 2], [3, 2], [4, 2], [10, 1], [12, 1]], 1/1382400],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 137/4976640],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 7273/212336640],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1]], 1/829440],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 953/29859840],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 457/870912],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 31/82944],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 299/19906560],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 137/11059200],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [12, 1]], 1/1244160],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 13/552960],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 7], [2, 2], [3, 2], [5, 1], [10, 1], [12, 1]], 43/2764800],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 2123/17418240],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [12, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 9259/134369280],
[[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/746496],
[[[1, 7], [2, 2], [3, 2], [6, 1], [10, 1], [14, 1]], 107/154828800],
[[[1, 7], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/331776],
[[[1, 7], [2, 2], [3, 2], [6, 2], [8, 1], [12, 1]], 1/4976640],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1991/39813120],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 2269/24883200],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 899189/41803776000],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 547751/6270566400],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 24293/209018880],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 301/2239488],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1837/71663616],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 3737/597196800],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 46151/1433272320],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/622080],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 169/5971968],
[[[1, 7], [2, 2], [3, 3], [4, 1], [10, 1], [12, 1]], 1/777600],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1543/29859840],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 2309/71663616],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1]], 1/933120],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 13573/358318080],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 13889/195955200],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 49/1658880],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [12, 1]], 121/1658880],
[[[1, 7], [2, 2], [3, 3], [6, 1], [8, 1], [12, 1]], 61/14929920],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 43/884736],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 565/17915904],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 601/223948800],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 1479173/30098718720],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/184320],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 11/199065600],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 7003/25804800],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 10729/145152000],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 2629/87091200],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 7/172800],
[[[1, 7], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 5429/580608000],
[[[1, 7], [2, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 11/5443200],
[[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [18, 1]], 11/2764800],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 19/921600],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/25600],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 13/2903040],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/589824],
[[[1, 7], [2, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/36864000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 1/11612160],
[[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/967680],
[[[1, 7], [2, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 13/19906560],
[[[1, 7], [2, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/38707200],
[[[1, 7], [2, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/8294400],
[[[1, 7], [2, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/15482880],
[[[1, 7], [2, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/6635520],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/537600],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/322560],
[[[1, 7], [2, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 13/25804800],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 457/7741440],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/414720],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 7/307200],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 197/7741440],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1]], 1/806400],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/483840],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/663552],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1105920],
[[[1, 7], [2, 2], [4, 2], [6, 1], [10, 1], [18, 1]], 1/16588800],
[[[1, 7], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/10321920],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1474560],
[[[1, 7], [2, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/22118400],
[[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 7/1105920],
[[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 73/35389440],
[[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 2629/174182400],
[[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 11/10886400],
[[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 7], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 7], [2, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 7], [2, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/77414400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 4409/116121600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 83/122880],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 7351/16588800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 45749/66355200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 6847/26542080],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 3341/110592000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 11213/55738368],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 667/14929920],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 37/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 2519/59719680],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 12161/477757440],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 959/99532800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 4267/179159040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 4175/9289728],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 41/537600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 4169/46448640],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 4583/19906560],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 47/3096576],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [18, 1]], 19/1327104],
[[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 397/6220800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 61/3732480],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/76800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 257/1036800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 16897/26542080],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 11869/36864000],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 601/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 23467/46448640],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 5861/29859840],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 11/276480],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 449/9953280],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 43799/212336640],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 649/33177600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 4597/39813120],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1421/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 431/3932160],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 1/345600],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 21347/87091200],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 15239/39813120],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 8231/132710400],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 10067/53084160],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 158293/348364800],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 25849/149299200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [18, 1]], 1/207360],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 61/1290240],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 46807/497664000],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1]], 7/1382400],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 6223/33177600],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [12, 1]], 11/1814400],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 1], [12, 1]], 113/9216000],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 1033/4644864],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/44800],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [12, 1]], 23/2903040],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 1481/29859840],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 7/663552],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 1/73728],
[[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 1/86400],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 457/58060800],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 431/49766400],
[[[1, 7], [2, 4], [3, 1], [6, 1], [12, 1], [14, 1]], 1/774144],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 11/1105920],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1]], 5/1327104],
[[[1, 7], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1]], 191/66355200],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 429857/597196800],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 2881/7962624],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 31507/110592000],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 991/6635520],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 91663/139345920],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 283831/537477120],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 253/11612160],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/31104],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 195577/477757440],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 13477/119439360],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 2405/18579456],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 77/1658880],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 461/8847360],
[[[1, 7], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1]], 79/8294400],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 237619/398131200],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 402679/637009920],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 16417/132710400],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 11851/39813120],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 17017/49766400],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 133849/398131200],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [12, 1]], 10969/199065600],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 65/2654208],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [12, 1]], 329/39813120],
[[[1, 7], [2, 4], [3, 2], [6, 1], [10, 1], [12, 1]], 1/259200],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 3332309/6270566400],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 572767/1433272320],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 56633/895795200],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 230911/1074954240],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 36223/174182400],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1]], 37/2721600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 13/3870720],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 13/1658880],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 251/8294400],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 311/13271040],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 11413/36864000],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 1/76800],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 973/49766400],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 167/1548288],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 11/604800],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 11/1451520],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1]], 41/4976640],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 37/3870720],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 227/9953280],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 239/38707200],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 461/49766400],
[[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 23/11612160],
[[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/995328],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 463/66355200],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 79/13271040],
[[[1, 7], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 1/829440],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 49/221184],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1817/13824000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1211/66355200],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 107/2949120],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 3703/106168320],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 371/66355200],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 5653/99532800],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1]], 41/7372800],
[[[1, 7], [2, 4], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2211840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 465571/1327104000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 10537/33177600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 13171/33177600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 571513/13934592000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 105743/348364800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 21817/149299200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 4691/38707200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 25549/298598400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 518483/1274019840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 187357/796262400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 594547/7166361600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 233/1327104],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 1169/70778880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 893/132710400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 192827/265420800],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 20453/19906560],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 36419/88473600],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 891937/4777574400],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 77437/464486400],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 47663/165888000],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1]], 71/16588800],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1979/22118400],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1]], 1/2949120],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1]], 1/414720],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 294097/477757440],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 120271/191102976],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1141679/3981312000],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 436301/3583180800],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 337/1658880],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 551/1990656],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 1111/132710400],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 2167/16588800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 569/53084160],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 10099/663552000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 1377829/9289728000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 18448991/66886041600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 46089971/167215104000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 277321/14332723200],
[[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 19/967680],
[[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/414720],
[[[1, 7], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/7741440],
[[[1, 7], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/1290240],
[[[1, 7], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3317760],
[[[1, 7], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3317760],
[[[1, 7], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 7], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/331776],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/368640],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [12, 2]], 1/14515200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]], 41/44236800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1/21600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 7/1728000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 817/66355200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 5/1824768],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [22, 1]], 1/12165120],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2]], 1/26542080],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 3], [7, 1]], 1/23224320],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 3], [18, 1]], 1/29859840],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1]], 1/1433272320],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 13/430080],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 557/21772800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 199/12902400],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 7/1228800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/884736],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1]], 17/185794560],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/13271040],
[[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 73/7741440],
[[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 17/30965760],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 11/1658880],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2]], 53/1393459200],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 31/4423680],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1]], 1/2764800],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 193/232243200],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/645120],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 2], [8, 1]], 1/42467328],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/7077888],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/8847360],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1]], 5819/3251404800],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1]], 1/174182400],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 23/552960],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/120960],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [12, 1]], 5819/541900800],
[[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 19/829440],
[[[1, 8], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 1/829440],
[[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 7/2073600],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1]], 1/272160],
[[[1, 8], [2, 1], [3, 1], [6, 2], [7, 1], [8, 1]], 1/15482880],
[[[1, 8], [2, 1], [3, 1], [7, 1], [8, 1], [12, 1]], 1/2580480],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3]], 1/9953280],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 2321/23224320],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 47/829440],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 49/4147200],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 1/185794560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1]], 37/30965760],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1]], 1/2654208],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [18, 1]], 1/19906560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1]], 1/39813120],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 67/123863040],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 97/5806080],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 11/7257600],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 193/19906560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1969/179159040],
[[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 133/111974400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 2279/537477120],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2]], 181/928972800],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 37/3317760],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 17/6635520],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 181/154828800],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 221/23224320],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 49/9953280],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1]], 1/13271040],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 1/552960],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [12, 1]], 1/2211840],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/829440],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 643/212336640],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 67/23887872],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 31/276480],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 77/1244160],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 2], [8, 1]], 1/6635520],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 2], [10, 1]], 1/6635520],
[[[1, 8], [2, 1], [3, 2], [5, 1], [8, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 2], [5, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 11/8709120],
[[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [12, 1]], 1/362880],
[[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 133/134369280],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2]], 5/2654208],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 53887/2090188800],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 2941/1306368000],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 94403/6270566400],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 2201/209018880],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 97/13436928],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1]], 61/119439360],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1]], 1/74649600],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 2921/1433272320],
[[[1, 8], [2, 1], [3, 3], [4, 1], [8, 1], [12, 1]], 61/19906560],
[[[1, 8], [2, 1], [3, 3], [4, 1], [10, 1], [12, 1]], 1/12441600],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 83/9953280],
[[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 7/8957952],
[[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 2941/1567641600],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [12, 1]], 17/1658880],
[[[1, 8], [2, 1], [3, 3], [6, 1], [8, 1], [12, 1]], 1/14929920],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 349/89579520],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 601/358318080],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 643/371589120],
[[[1, 8], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/398131200],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 6949/232243200],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 31/20736000],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 31/12441600],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 127/29030400],
[[[1, 8], [2, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/18144000],
[[[1, 8], [2, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/10886400],
[[[1, 8], [2, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/5529600],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/2903040],
[[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1105920],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/11796480],
[[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 31/24883200],
[[[1, 8], [2, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/21772800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 89/77414400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 62003/116121600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 14051/49766400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 8383/22118400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 8009/238878720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 37/110592000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 3337/69672960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 23/3732480],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1327104],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 137/59719680],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1157/668860416],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 17/99532800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 115/71663616],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1619/7741440],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 3523/174182400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 919/26127360],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 199/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [18, 1]], 1/663552],
[[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 5533/522547200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 1249/313528320],
[[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 27407/557383680],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1433/5308416],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 5081/62208000],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 253147/4180377600],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 91/552960],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 299/5971968],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 23/15482880],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 11/3317760],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 19139/891813888],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 589/928972800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 2263/278691840],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 121/9953280],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 127879/6688604160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 29/154828800],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 552233/8360755200],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 823/13271040],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 143/66355200],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 3943/159252480],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1024157/3657830400],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 8017/116121600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 31321/4180377600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 105457/13934592000],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1]], 11/43545600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 443/11059200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [12, 1]], 73/33177600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 1], [12, 1]], 673/258048000],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 14503/209018880],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/806400],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [12, 1]], 17/11612160],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 4903/627056640],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/1548288],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [18, 1]], 1/1990656],
[[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 1/3110400],
[[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1]], 17/116121600],
[[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 1/49766400],
[[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/3317760],
[[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1]], 1/2654208],
[[[1, 8], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1]], 1/66355200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 133079/597196800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 5819/22118400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 26119/258048000],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 15019/174182400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 1327/3981312],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 35827/179159040],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 67/30965760],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [18, 1]], 1/331776],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 10691/238878720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 6421/836075520],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 217/13271040],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 41/8294400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 47/2488320],
[[[1, 8], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1]], 13/11612160],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 54743/232243200],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 30289/212336640],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 12961/796262400],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 6187/119439360],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 57607/348364800],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 4387/49766400],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [12, 1]], 11171/464486400],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [12, 1]], 47/27869184],
[[[1, 8], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1]], 1/4147200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 2243671/6270566400],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1466543/10032906240],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 3893/447897600],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 243451/3762339840],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 2453/29030400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 241/87091200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 149/58060800],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 67/66355200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 92173/2322432000],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 11/4838400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 83/49766400],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 3259/139345920],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/604800],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1451520],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 11/15482880],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 13/30965760],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 11/7962624],
[[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/5529600],
[[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 11/49766400],
[[[1, 8], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/15482880],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/33177600],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 587/11059200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1031/86016000],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 11/7257600],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 49/44236800],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 13/7077888],
[[[1, 8], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/14745600],
[[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 443/99532800],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 17228069/83607552000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 445061/1194393600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1447/5184000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 9863/221184000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 2141/6531840],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 134321/1254113280],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 137/7257600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 1121/59719680],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 3366673/26754416640],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 28463/796262400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 31397/1433272320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 647/11059200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 16507/1486356480],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1]], 223/132710400],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 10459583/16721510400],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 143057/278691840],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 575167/5573836800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 320651/4180377600],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 596243/4180377600],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 717869/5225472000],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1]], 247/87091200],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1183/66355200],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1]], 11/79626240],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 12958721/16721510400],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 603077/1274019840],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 591571/5573836800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 389311/5016453120],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 11941/116121600],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 42851/497664000],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 53/14745600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 4997/265420800],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 581/212336640],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 29/26542080],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 46089971/167215104000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 18448991/66886041600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 1377829/9289728000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 277321/14332723200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3]], 1/29030400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 9049/49766400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 1291/16588800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1033/13271040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 251/238878720],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/110592000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 769/216760320],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1]], 1/14929920],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/46448640],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/19906560],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1]], 1/1114767360],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/79626240],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 71/2211840],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 121/87091200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 3229/585252864],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 835/83607552],
[[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 59/261273600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 59/156764160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 289/278691840],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 23663/557383680],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 259/36864000],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 12683/2090188800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 11/737280],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 67/14929920],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/30965760],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [18, 1]], 1/13271040],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 2353/4459069440],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 1/61931520],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 247/668860416],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 31/99532800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 8521/6688604160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1]], 1/154828800],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 56699/8360755200],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 61/21233664],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1]], 1/33177600],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 5783/6688604160],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 19357/292626432],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 3539/348364800],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 349/1045094400],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 257/774144000],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1]], 1/87091200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/442368],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [12, 1]], 1/3225600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [10, 1], [12, 1]], 71/387072000],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1187/209018880],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [12, 1]], 1/11612160],
[[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 181/627056640],
[[[1, 9], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1]], 1/232243200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 3149/199065600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 34787/464486400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 285599/20901888000],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 122293/6270566400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1129/19906560],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 33799/1254113280],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 5/3096576],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 1019/12541132800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1583/3009871872],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/8294400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 719/278691840],
[[[1, 9], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1]], 37/1045094400],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 62891/2090188800],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 9569/955514880],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1]], 1/12441600],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 629/238878720],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 74563/3135283200],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1841/265420800],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [12, 1]], 1859/464486400],
[[[1, 9], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1]], 263/2508226560],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 175813/2090188800],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 26995/2006581248],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 289/447897600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 46771/7524679680],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 6151/406425600],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/3628800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/29030400],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/22118400],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 5713/4644864000],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/9676800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/49766400],
[[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 199/139345920],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/139345920],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 157/33177600],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/24192000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/14515200],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/17694720],
[[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/99532800],
[[[1, 9], [2, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/44236800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 2841533/50164531200],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 267923/1194393600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 114053/1161216000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 186937/8360755200],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 57023/365783040],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 13793/418037760],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 41/46448640],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 7/4976640],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 127073/8026324992],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 8101/5573836800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 37099/20065812480],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 319/43545600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 347/106168320],
[[[1, 9], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1]], 41/185794560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 286361/1114767360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 25805/222953472],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 48827/5573836800],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 457/37158912],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 80477/1393459200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 146407/5225472000],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1]], 37/49766400],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 17/16588800],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1]], 31/1114767360],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1510427/3135283200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 25807231/160526499840],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 745069/50164531200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 158461/7524679680],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 2627/99532800],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 12953/1161216000],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 11/21772800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 143/265420800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 43/141557760],
[[[1, 9], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/44236800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 3957331/14332723200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 6037123/40131624960],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 3298033/83607552000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 2310389/267544166400],
[[[1, 9], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/232243200],
[[[1, 9], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/38707200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3]], 1/696729600],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 6679/348364800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 5/663552],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 41/16588800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1]], 1/36126720],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 7/3981312],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 13/174182400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 85/292626432],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 113/418037760],
[[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/174182400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/104509440],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2]], 1/199065600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 983/557383680],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 19/99532800],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 1/33177600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/2654208],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1]], 1/119439360],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1486356480],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 1/247726080],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 37/232243200],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/21233664],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 197/6688604160],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1327/325140480],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1]], 89/348364800],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 2], [8, 1]], 1/464486400],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1857945600],
[[[1, 10], [2, 1], [3, 1], [5, 1], [8, 1], [12, 1]], 1/77414400],
[[[1, 10], [2, 1], [3, 1], [5, 1], [10, 1], [12, 1]], 1/309657600],
[[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 13/209018880],
[[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/209018880],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2]], 1/6635520],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 27943/4180377600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 691/2612736000],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 4217/3135283200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 23/17418240],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 55/94058496],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1]], 199/10032906240],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1]], 1/6270566400],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 193/15049359360],
[[[1, 10], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1]], 199/1672151040],
[[[1, 10], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1]], 1/1045094400],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1487/836075520],
[[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 7/119439360],
[[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/159252480],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 691/3135283200],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1]], 89/464486400],
[[[1, 10], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1]], 1/1254113280],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 12601/6270566400],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 289/716636160],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 107/1003290624],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 641/609638400],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/87091200],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/132710400],
[[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/33177600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 13523/2006581248],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 5617/87091200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 9017/580608000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 42703/8360755200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 8969/292626432],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 239/59719680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/46448640],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 1/39813120],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 311/557383680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 977/83607552000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 661/11147673600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 127/348364800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 353/836075520],
[[[1, 10], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 137/13934592000],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 239903/5573836800],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 36187/3344302080],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 643/2388787200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 28741/40131624960],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 40441/4180377600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 8437/4180377600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1]], 1/12441600],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1]], 47/16721510400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 105121/783820800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 489371/22932357120],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 59/111974400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 18623/7524679680],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 143/52254720],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1667/3483648000],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/43545600],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/141557760],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 7507127/50164531200],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1161689/26754416640],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1591721/334430208000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 1442089/802632499200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 5119/16721510400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 787/99532800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 4337/5225472000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 12331/25082265600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 185/83607552],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 397/2508226560],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 3397/802632499200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1]], 67/2759049216000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 67/1655429529600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/696729600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 3077/133772083200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1]], 67/459841536000],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 3601/1672151040],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 2899/10032906240],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 1/1045094400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 577/40131624960],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 6361/12541132800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 43/1393459200],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1]], 1/348364800],
[[[1, 11], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1]], 67/551809843200],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 26977/2090188800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 841/836075520],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 13/783820800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 6473/60197437440],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 29/522547200],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/174182400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 2028767/50164531200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 808511/133772083200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 124061/525533184000],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 2377/12541132800],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2]], 1/696729600],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 5977/16721510400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 43/10450944000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 97/6270566400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 121/2926264320],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/418037760],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1]], 629/8828957491200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1]], 1/2759049216000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1]], 1/1655429529600],
[[[1, 12], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 629/1471492915200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1]], 1/459841536000],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 137/4180377600],
[[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1433272320],
[[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 43/12541132800],
[[[1, 12], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1]], 1/551809843200],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 989/6270566400],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 13/1254113280],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 17/20065812480],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 978823/200658124800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 513697/1471492915200],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 2983/689762304000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 33389/3310859059200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 971/4459069440],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 25913/4414478745600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/17244057600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 109/481579499520],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/447897600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/27590492160],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/588597166080],
[[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 1/5184],
[[[2, 3], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 1/165888],
[[[2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [22, 1]], 1/101376],
[[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/248832],
[[[2, 3], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/82944],
[[[2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [14, 1]], 1/967680],
[[[2, 3], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 1/69120],
[[[2, 3], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/746496],
[[[2, 3], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/622080],
[[[2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/16896],
[[[2, 3], [4, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2903040],
[[[2, 3], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/41472],
[[[2, 3], [4, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/40320],
[[[2, 3], [4, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/120960],
[[[2, 3], [4, 2], [6, 2], [10, 1], [12, 1], [14, 1]], 1/161280],
[[[2, 5], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/41472],
[[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/921600],
[[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/110592],
[[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/387072],
[[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/497664],
[[[2, 5], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/829440],
[[[2, 5], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 17/663552],
[[[2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/7741440],
[[[2, 5], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[2, 5], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/5971968],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/153600],
[[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/48384],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/483840],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/25920],
[[[2, 5], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/64512],
[[[2, 5], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/82944],
[[[2, 5], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/1290240],
[[[2, 7], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/3317760],
[[[2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/7741440],
[[[2, 7], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/3317760],
[[[2, 7], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/331776],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/967680],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/414720],
[[[2, 7], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1290240],
[[[2, 7], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/552960],
[[[2, 9], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/232243200],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/38707200],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 2]], 1/20160],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [11, 1]], 1/63360],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [11, 1], [12, 1]], 1/38016],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2], [14, 1]], 1/4032],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1], [14, 1]], 1/217728],
[[[1, 1], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1], [12, 1]], 1/10560],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 1/5184],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/995328],
[[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [7, 1]], 1/3870720],
[[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/645120],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1], [8, 1]], 1/241920],
[[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2177280],
[[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/31104],
[[[1, 1], [2, 2], [3, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [22, 1]], 1/63360],
[[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 2]], 1/4032],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [22, 1]], 1/101376],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [7, 1], [12, 1]], 1/24192],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/248832],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/93312],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/82944],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [14, 1]], 1/967680],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1], [14, 1]], 1/3870720],
[[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1814400],
[[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/1088640],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 1/155520],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/93312],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/2177280],
[[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/241920],
[[[1, 1], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/217728],
[[[1, 1], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/746496],
[[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/995328],
[[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/622080],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [22, 1]], 1/10560],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1], [14, 1]], 1/1814400],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/25200],
[[[1, 1], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1], [12, 1]], 1/15120],
[[[1, 1], [2, 2], [4, 1], [5, 1], [10, 1], [14, 1], [18, 1]], 1/25200],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/16896],
[[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [12, 2], [14, 1]], 1/20160],
[[[1, 1], [2, 2], [4, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2903040],
[[[1, 1], [2, 2], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 2], [4, 1], [6, 3], [10, 1], [12, 1], [14, 1]], 1/1088640],
[[[1, 1], [2, 2], [4, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/40320],
[[[1, 1], [2, 2], [4, 1], [10, 1], [12, 1], [14, 1], [18, 1]], 1/15120],
[[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/120960],
[[[1, 1], [2, 2], [4, 2], [6, 2], [10, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 2], [4, 3], [6, 1], [10, 1], [12, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/30240],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/967680],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/16896],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/50688],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/31104],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/31104],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/8709120],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 5/124416],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/2488320],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/1244160],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/120960],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 7/248832],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 13/165888],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 1/138240],
[[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/46080],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/1935360],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/2211840],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/368640],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/12288],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/331776],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 17/1935360],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/138240],
[[[1, 1], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/322560],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/115200],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/36288],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/362880],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/19440],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/62208],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/576000],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/241920],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/311040],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/518400],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/138240],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 7/110592],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/345600],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 5/193536],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/124416],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/10368],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/69120],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/145152],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/186624],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/829440],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 71/663552],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 11/622080],
[[[1, 1], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/1105920],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/8709120],
[[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/622080],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/77760],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 11/373248],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/967680],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/46080],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1244160],
[[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1244160],
[[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 7/5971968],
[[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/622080],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/96000],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/302400],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/16200],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/51840],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/86400],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 1], [2, 4], [4, 1], [5, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/76800],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 5/24192],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 7/103680],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 5/32256],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 67/725760],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/9720],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/43008],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/184320],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 1], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 4], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/107520],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 23/11059200],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/552960],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/12902400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/30720],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/73728],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/248832],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/124416],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 61/1451520],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/31104],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 11/580608],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 7/414720],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/46080],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/55296],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 7/497664],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7/1105920],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 5/258048],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 7/829440],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1105920],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/73728],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/442368],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 7/368640],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/967680],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 17/1105920],
[[[1, 1], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/725760],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/311040],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/967680],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/414720],
[[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4838400],
[[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2073600],
[[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/69120],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 31/7741440],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/497664],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 121/15482880],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2903040],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 19/3317760],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/165888],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 37/1244160],
[[[1, 1], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/4423680],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1105920],
[[[1, 1], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4976640],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/331776],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 19/604800],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/259200],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/806400],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/345600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 41/193536],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 49/414720],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 31/1290240],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 461/4644864],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 7/155520],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 19/552960],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/737280],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/38707200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 161/44236800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/7372800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1290240],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/4976640],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/19906560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/829440],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 19/1244160],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/34836480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/139345920],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/1658880],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6635520],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/207360],
[[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3686400],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/3317760],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 59/39813120],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/29030400],
[[[1, 1], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/145152000],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 127/232243200],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/87091200],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/24192000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 127/38707200],
[[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 59/278691840],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/39813120],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 2]], 1/20160],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [11, 1]], 1/101376],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [11, 1]], 1/63360],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [11, 1], [12, 1]], 1/38016],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2], [14, 1]], 1/4032],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1], [14, 1]], 1/217728],
[[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1], [12, 1]], 1/16896],
[[[1, 2], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1], [12, 1]], 1/10560],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/11520],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/622080],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 1/5184],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/18432],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/995328],
[[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2], [7, 1]], 1/3870720],
[[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/645120],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 1/165888],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 3], [7, 1], [8, 1]], 1/241920],
[[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2177280],
[[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/31104],
[[[1, 2], [2, 1], [3, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [22, 1]], 1/63360],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 2]], 1/4032],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/38016],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [7, 1], [12, 1]], 1/24192],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/93312],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/746496],
[[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/967680],
[[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/18432],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [10, 1], [14, 1]], 1/3870720],
[[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2903040],
[[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1814400],
[[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/1088640],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/248832],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 1/155520],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/93312],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 1], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 1/69120],
[[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/2177280],
[[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/217728],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/995328],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1], [22, 1]], 1/10560],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1], [14, 1]], 1/1814400],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/25920],
[[[1, 2], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [9, 1]], 1/40320],
[[[1, 2], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/25200],
[[[1, 2], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1], [12, 1]], 1/15120],
[[[1, 2], [2, 1], [4, 1], [5, 1], [10, 1], [14, 1], [18, 1]], 1/25200],
[[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [12, 2], [14, 1]], 1/20160],
[[[1, 2], [2, 1], [4, 1], [6, 3], [10, 1], [12, 1], [14, 1]], 1/1088640],
[[[1, 2], [2, 1], [4, 1], [10, 1], [12, 1], [14, 1], [18, 1]], 1/15120],
[[[1, 2], [2, 1], [4, 3], [6, 1], [10, 1], [12, 1], [14, 1]], 1/645120],
[[[1, 2], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/30240],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/57600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/322560],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/19440],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/1555200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/103680],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/576000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/345600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/96000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/50688],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 41/152064],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 13/69120],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/193536],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/1741824],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 5/124416],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/31104],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/2903040],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/9072],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 53/373248],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/1492992],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 13/1990656],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 13/3732480],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/30240],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/18144],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/286720],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/103680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 3/143360],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 13/345600],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [14, 1]], 1/33600],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 7/36864],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/64512],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/161280],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 25/96768],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 7/248832],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 13/62208],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 1/138240],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/10752],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1], [12, 1]], 1/26880],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1105920],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 11/110592],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 7/331776],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 11/110592],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 73/552960],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/61440],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/45360],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 71/1935360],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/33600],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [9, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 19/1244160],
[[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/5600],
[[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/115200],
[[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/36288],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/57600],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/4536],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 7/77760],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/15552],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 13/69120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/77760],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/129600],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 13/414720],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/100800],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/60480],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/921600],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/12288],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/241920],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 7/20736],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 11/248832],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/43008],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 25/497664],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 19/62208],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/69120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 19/72576],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 5/23328],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 205/1990656],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 11/622080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 31/2764800],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/207360],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 13/460800],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 5/258048],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 13/62208],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 11/2580480],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 25/96768],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 25/165888],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 19/207360],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2211840],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 13/552960],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/60480],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 11/201600],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/48384],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 19/645120],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2903040],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/172800],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1658880],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/311040],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1741824],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/124416],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/15552],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 49/373248],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/165888],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 91/1990656],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 19/414720],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 11/1244160],
[[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/3732480],
[[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1555200],
[[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 13/3732480],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 7/622080],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/40320],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/48000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/40320],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/75600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 7/64800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/829440],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 41/3110400],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/24192],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/153600],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/5376],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/7168],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 11/82944],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 79/725760],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 7/38880],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/33600],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/25600],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 5/43008],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 11/430080],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/25920],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/368640],
[[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 11/33600],
[[[1, 2], [2, 3], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 109/8601600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/40320],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/31104],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 857/24883200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/25920],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/614400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/414720],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/288000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 83/1382400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/145152],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 13/153600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/92160],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 25/221184],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 7/23040],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/12096],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 17/1548288],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 95/580608],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 29/124416],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 7/124416],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 7/34560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 41/145152],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 155/1492992],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 53/1492992],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 67/331776],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 263/1244160],
[[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/258048],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 23/322560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/143360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/207360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/51840],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/368640],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 631/22118400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 7/51840],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 7/184320],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/61440],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 3/81920],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 23/387072],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 71/387072],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 43/497664],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 37/331776],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 223/1935360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 11/829440],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 55/387072],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 91/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 127/3317760],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 11/41472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 913/3317760],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/20480],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 109/5529600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 3/40960],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 13/221184],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 49/221184],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 67/552960],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/96768],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/483840],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/207360],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/82944],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 7/69120],
[[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 919/2903040],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 83/622080],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 11/967680],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/483840],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 23/829440],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 11/4838400],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 17/3317760],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 179/4147200],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 83/414720],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/120960],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 11/580608],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/248832],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 17/387072],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/62208],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 35/497664],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 2869/15482880],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 11/2903040],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 13/165888],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3888],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 43/124416],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1105920],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 7/552960],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 11/829440],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 17/368640],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 35/663552],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 11/82944],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 19/1105920],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/276480],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 13/4976640],
[[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/829440],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 11/497664],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 61/604800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 119/518400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 11/806400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 109/1382400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 197/2073600],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 23/46080],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 13/64512],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1625/4644864],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 37/155520],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/102400],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 49/460800],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 23/184320],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/61440],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1612800],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/8294400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/806400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/3110400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 3841/66355200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 31/4147200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 11/3686400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/774144],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/331776],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 79/1451520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 19/497664],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 31/19906560],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 619/1548288],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 229/1658880],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 263/34836480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 353/418037760],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 469/2488320],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 19/663552],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 2173/19906560],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/5529600],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 71/6220800],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 319/3317760],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1517/39813120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 311/6635520],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 37/1658880],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 11/14515200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1658880],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 22229/4644864000],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/3686400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 31/4147200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 541/59719680],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 11/43545600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 127/2764800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 27487/2322432000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/345600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4147/1393459200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/22118400],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 91319/4180377600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 19/111476736],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 121/83607552],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/7920],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/322560],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/15552],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/1555200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 7/622080],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/921600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/288000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/172800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/153600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/48000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/50688],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 41/152064],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 13/69120],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/193536],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/1741824],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/124416],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/2903040],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 49/373248],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/3732480],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 13/3732480],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/15120],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 11/2580480],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 11/430080],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [14, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 7/36864],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 5/258048],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/161280],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 25/96768],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 13/62208],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/55296],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 5/43008],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1], [12, 1]], 1/26880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/129024],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/414720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/2211840],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/368640],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 7/331776],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/483840],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/414720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 11/110592],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 5/55296],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 13/552960],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/61440],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/4536],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 19/645120],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 11/201600],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [9, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 11/1244160],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/35840],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 11/33600],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/57600],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/18144],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/36288],
[[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/45360],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/576000],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 13/69120],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/241920],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 19/414720],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/161280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/75600],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 79/725760],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 7/64800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 7/38880],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/36864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/345600],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/43008],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 19/72576],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 25/497664],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 11/248832],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/77760],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 5/23328],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 7/20736],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 19/62208],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 91/1990656],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/7168],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 11/82944],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/12960],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 31/2764800],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 19/207360],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/25600],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 7/248832],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 13/62208],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/286720],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 25/96768],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 25/165888],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/207360],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1105920],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 73/552960],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 11/110592],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/90720],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 7/77760],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/24192],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/15552],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 71/1935360],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2903040],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/129600],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 11/622080],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 41/3110400],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1741824],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 5/124416],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 53/373248],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/414720],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 205/1990656],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 13/414720],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 19/1244160],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1492992],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1555200],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 13/3732480],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 13/1990656],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/40320],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/96000],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/100800],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/21600],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1658880],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/311040],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/13440],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/24192],
[[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/46080],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/33600],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 13/345600],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 13/460800],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 3/143360],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/5600],
[[[1, 3], [2, 2], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/46080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 11/48000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 73/1548288],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 11/311040],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 29/155520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 13/276480],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 817/12441600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 11/103680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/22400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 47/430080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 19/414720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/57600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 7/51840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 17/50400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/51200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 109/345600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/36288],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/153600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 13/92160],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 13/55296],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 349/691200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/10368],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 115/1548288],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/107520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 19/193536],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 7/62208],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 17/82944],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 7/20736],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 7/124416],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 73/311040],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 157/290304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 265/746496],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 89/3732480],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 11/41472],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 331/1244160],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 5/36864],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/17920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 53/322560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 19/645120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 13/276480],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 11/103680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 73/1105920],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 197/1843200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 79/207360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 157/921600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 11/61440],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 179/921600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 17/129024],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 47/129024],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 103/387072],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 11/55296],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 113/331776],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 229/1935360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 173/387072],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 559/1990656],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 43/1105920],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 151/221184],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1543/3317760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/12288],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 17/368640],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 223/2764800],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 133/552960],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 101/1105920],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 217/442368],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 149/552960],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 29/100800],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 7/69120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 31/129600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 19/50400],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 41/129600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 29/207360],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 23/86400],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/64512],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 181/483840],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 43/207360],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 5/193536],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 13/362880],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 23/311040],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 11/967680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 167/3317760],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 49/276480],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 13/20736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 19/552960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 329/2073600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 11/193536],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 43/145152],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 5/48384],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 13/124416],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1657/7741440],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 11/311040],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 59/580608],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/124416],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 49/414720],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 823/995328],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 157/207360],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/1105920],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 251/2764800],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 677/3317760],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 43/82944],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 83/207360],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 73/829440],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 67/345600],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 13/2488320],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 49/1382400],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 131/1244160],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 11/124416],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 19/100800],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/60480],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 23/201600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 17/43200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 11/161280],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 179/1382400],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 23/103680],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/2560],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/35840],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/69120],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 5/16128],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1387/3870720],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 17/51840],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 37/184320],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/184320],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 121/460800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 13/46080],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 139/5529600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 883/24883200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 19/403200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/32400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/110592],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 13703/44236800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 7/86400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/184320],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 551/7372800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/24192],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 5/258048],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 35/497664],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5693/11612160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1229/4976640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 7/207360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 25/1327104],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 25/24192],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 2023/4976640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/14336],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 151/6635520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 5461/9953280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1709/6635520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 9809/19906560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/61440],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/138240],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 517/1843200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 18191/99532800],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 169/368640],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1447/4423680],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 331/829440],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 503/1658880],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/230400],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 47/3317760],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 51373/331776000],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 2243/33177600],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 107/829440],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 719/7464960],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 391/4147200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 257/691200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 22279/165888000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 19/138240],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 161/22118400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 158009/1741824000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 191/99532800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1050113/4180377600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1189/185794560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 23039/1045094400],
[[[1, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/322560],
[[[1, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/53760],
[[[1, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/31680],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/11520],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/967680],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/77760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/622080],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/460800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/576000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/345600],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/76800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/96000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/16896],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/50688],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 7/110592],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/8709120],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 11/373248],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 7/5971968],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/1244160],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 5/24192],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/30240],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/18144],
[[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/120960],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/1105920],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/34560],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/36864],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/258048],
[[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/43008],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/331776],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/1935360],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/12288],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/645120],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/40320],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1244160],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/107520],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/120960],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/302400],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 67/725760],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 7/103680],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/16200],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/9720],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 5/193536],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/241920],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/145152],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/124416],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/311040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/186624],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 5/32256],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/40320],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/552960],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 7/248832],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2211840],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/362880],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/19440],
[[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/62208],
[[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 17/1935360],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/8709120],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/829440],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/518400],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 11/622080],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1658880],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/86400],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/31104],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 5/124416],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/967680],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 71/663552],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 13/165888],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2488320],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1244160],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/165888],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/622080],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 1], [4, 1], [5, 1], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/19200],
[[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/46080],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/368640],
[[[1, 4], [2, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/322560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 13/92160],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/9000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1657/7741440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 11/311040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 49/1382400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/35840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 23/201600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1387/3870720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 11/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 17/43200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 17/51840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 19/100800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/153600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 11/48000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 349/691200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/10368],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 13/55296],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 109/345600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/36288],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 5/48384],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 11/967680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 59/580608],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 13/124416],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 11/193536],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/124416],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 13/362880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 23/311040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 43/145152],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 13/2488320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 11/124416],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 131/1244160],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 5/16128],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 11/161280],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/60480],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 229/1935360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 251/2764800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 83/207360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 37/184320],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 13/46080],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 121/460800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 103/387072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 173/387072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 11/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 17/129024],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 11/103680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 559/1990656],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 19/645120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 13/276480],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 47/129024],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 113/331776],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 11/1105920],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 43/82944],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 677/3317760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 7/184320],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 101/1105920],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 223/2764800],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 149/552960],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 17/368640],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 217/442368],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 133/552960],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 181/483840],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 19/50400],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 43/207360],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 41/129600],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 29/100800],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 31/129600],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 73/829440],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 67/345600],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 5/193536],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/69120],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 73/311040],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/107520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 49/414720],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 49/276480],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 157/207360],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 179/1382400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 23/103680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 17/82944],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 157/290304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 7/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 115/1548288],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 7/62208],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 29/155520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 265/746496],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 73/1548288],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 11/311040],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 19/193536],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 7/124416],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 167/3317760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 823/995328],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 13/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 43/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 197/1843200],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1543/3317760],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 73/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 151/221184],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 79/207360],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 29/207360],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 23/86400],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 89/3732480],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 817/12441600],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 331/1244160],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/276480],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 11/41472],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 11/103680],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 53/322560],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/50400],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/60480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/25920],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/22400],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/57600],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/18432],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 329/2073600],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/2560],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 19/414720],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 5/36864],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 47/430080],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 7/51840],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 19/552960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 157/921600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/12288],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 179/921600],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 11/61440],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 551/1935360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 541/2488320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/7200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 47/311040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 431/1327104],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 21733/33177600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 67/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 389/921600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 91/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1493/5529600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 269/774144],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/86016],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 311/995328],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 113/248832],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 329/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 21401/23224320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1159/2488320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 331/1935360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5209/59719680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1651/3317760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 997/1990656],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 6869/9953280],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/20480],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 89/184320],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 79/102400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 33/51200],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 19/24576],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 809/884736],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 365/442368],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7589/8294400],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/138240],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 467/3317760],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 72937/132710400],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1219/3317760],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 509/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7147/19906560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 109/414720],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 53/76800],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/184320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 851/2654208],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 193/1105920],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7513/66355200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 331381/580608000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1573/49766400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 18311/22118400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 15137/238878720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 8663/77414400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/92160],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 2869/15482880],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/829440],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 13/4976640],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 23/46080],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 61/604800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1625/4644864],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 119/518400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 37/155520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 13/153600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 7/23040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/12096],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 25/221184],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 83/1382400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/145152],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 17/387072],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 11/4838400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 11/2903040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/248832],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 11/580608],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 35/497664],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 11/497664],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 13/64512],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 11/806400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 223/1935360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 11/829440],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/80640],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 17/368640],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 7/552960],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 11/82944],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 7/102400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 23/184320],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 49/460800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 71/387072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 55/387072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 43/497664],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 91/1990656],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/143360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 23/387072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 37/331776],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1105920],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 35/663552],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 11/829440],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 13/221184],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 109/5529600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 67/552960],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 49/221184],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 3/40960],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 919/2903040],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/483840],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 83/622080],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/1105920],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/61440],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 11/967680],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 7/34560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 13/165888],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 179/4147200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 43/124416],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 109/1382400],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 197/2073600],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 95/580608],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 41/145152],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 29/124416],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 17/1548288],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 155/1492992],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 109/8601600],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 7/124416],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 17/3317760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3888],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 83/414720],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 127/3317760],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 631/22118400],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 913/3317760],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 11/41472],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 7/51840],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/82944],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 23/829440],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 7/69120],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 53/1492992],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 857/24883200],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 263/1244160],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 67/331776],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 23/322560],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/414720],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/258048],
[[[1, 5], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/614400],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/552960],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/184320],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/20480],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 3/81920],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/61440],
[[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 21401/23224320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1159/2488320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/8960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/6480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 509/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 72937/132710400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 109/414720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 53/76800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 193/1105920],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 851/2654208],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/7200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 331/1935360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 113/248832],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 269/774144],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 311/995328],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 47/311040],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5209/59719680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 551/1935360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 541/2488320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/86016],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 329/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 467/3317760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7147/19906560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1219/3317760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 7/184320],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 19/24576],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 79/102400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 365/442368],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 89/184320],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 809/884736],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 33/51200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7589/8294400],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/138240],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1651/3317760],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 21733/33177600],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 6869/9953280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 431/1327104],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 997/1990656],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 67/276480],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 389/921600],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/20480],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1493/5529600],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 91/1105920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7907/13271040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 219143/165888000],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 481/3686400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 14441/13271040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 8605/47775744],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 6371/33177600],
[[[1, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/82944],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 121/15482880],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/4976640],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 41/193536],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 19/604800],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 461/4644864],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 49/414720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 7/259200],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 7/155520],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/16128],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 31/7741440],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/4838400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2903040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/497664],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/331776],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 31/1290240],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/806400],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 5/258048],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/829440],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/1105920],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4423680],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/737280],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 7/497664],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7/1105920],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1105920],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 7/368640],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/442368],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 19/725760],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 7/311040],
[[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/967680],
[[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/967680],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 61/1451520],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/31104],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 19/3317760],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2073600],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 37/1244160],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 19/552960],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 11/580608],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/248832],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 23/11059200],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/124416],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/165888],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 7/829440],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1105920],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 17/1105920],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 7/414720],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/165888],
[[[1, 6], [2, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/12902400],
[[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 25/24192],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 2023/4976640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 7/207360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 107/829440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 51373/331776000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 391/4147200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 257/691200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 19/138240],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 22279/165888000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5693/11612160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 19/403200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/14336],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1229/4976640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 35/497664],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/32400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 151/6635520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 139/5529600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 883/24883200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 5/258048],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 25/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 47/3317760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 719/7464960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 2243/33177600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 169/368640],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 517/1843200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 331/829440],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 11/138240],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1447/4423680],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 18191/99532800],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 503/1658880],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/230400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 5461/9953280],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 13703/44236800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 9809/19906560],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/110592],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1709/6635520],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 7/86400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/184320],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/61440],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 551/7372800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 14441/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 219143/165888000],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 6371/33177600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7907/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 8605/47775744],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 481/3686400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 619/1548288],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 229/1658880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 31/4147200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 22229/4644864000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 11/43545600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 127/2764800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 13/345600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 27487/2322432000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 79/1451520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/806400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 263/34836480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 19/497664],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/774144],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/331776],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/3110400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 353/418037760],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1612800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/8294400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 31/19906560],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1658880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 541/59719680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/3686400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 319/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/5529600],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 311/6635520],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1517/39813120],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 71/6220800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 37/1658880],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/14515200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 469/2488320],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 3841/66355200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 2173/19906560],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 19/663552],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 31/4147200],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/3686400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 18311/22118400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 331381/580608000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 8663/77414400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7513/66355200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 15137/238878720],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1573/49766400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/829440],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 19/1244160],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 127/232243200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/145152000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/87091200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 127/38707200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/24192000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1290240],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/34836480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/4976640],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/139345920],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/38707200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/19906560],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/3317760],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 59/39813120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3686400],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/29030400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/1658880],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 161/44236800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/207360],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6635520],
[[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/7372800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1050113/4180377600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 158009/1741824000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 23039/1045094400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 161/22118400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1189/185794560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 191/99532800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 91319/4180377600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4147/1393459200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 121/83607552],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 19/111476736],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/22118400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 59/278691840],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/39813120],
[[[2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/10368],
[[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/322560],
[[[2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/53760],
[[[2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/82944],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/201600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/120960],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/33600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/3024],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/40320],
[[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/201600],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/33600],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/100800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 11/483840],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 7/82944],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 7/23040],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/276480],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/322560],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/201600],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/120960],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/53760],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/33600],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/3024],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/40320],
[[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/201600],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/33600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/161280],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 37/96768],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/51840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 13/51840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/33600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 11/172800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 13/32256],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 13/32256],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 107/161280],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 13/51840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/345600],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/46080],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 419/1382400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/55296],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 107/161280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/21600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 13/51840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/25200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 17/345600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 13/32256],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 13/32256],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 37/96768],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 13/51840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/172800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/12800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/23040],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 491/691200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 79/138240],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 7/23040],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/100800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 7/82944],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 11/483840],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5120],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/12800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 79/138240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 491/691200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 11/23040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 13/55296],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 419/1382400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/276480],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/92160]
]}