{[ [[[1, 25]], 1/8427641241600000], [[[2, 25]], 1/8427641241600000], [[[1, 1], [2, 24]], 31/2809213747200000], [[[1, 2], [2, 23]], 41/93640458240000], [[[1, 3], [2, 22]], 1649/168552824832000], [[[1, 4], [2, 21]], 76837/561842749440000], [[[1, 5], [2, 20]], 78377/62426972160000], [[[1, 5], [5, 5]], 1/150000], [[[1, 6], [2, 19]], 155023/20065812480000], [[[1, 7], [2, 18]], 1709/53508833280], [[[1, 8], [2, 17]], 66983/764411904000], [[[1, 9], [2, 16]], 832301/5350883328000], [[[1, 9], [5, 4]], 1/896000], [[[1, 10], [2, 15]], 464843/2675441664000], [[[1, 11], [2, 14]], 5220601/40131624960000], [[[1, 11], [3, 7]], 1/839808], [[[1, 12], [2, 13]], 27296509/280921374720000], [[[1, 13], [2, 12]], 27296509/280921374720000], [[[1, 13], [3, 6]], 23/33592320], [[[1, 13], [5, 3]], 1/17010000], [[[1, 13], [7, 2]], 1/16934400], [[[1, 14], [2, 11]], 5220601/40131624960000], [[[1, 15], [2, 10]], 464843/2675441664000], [[[1, 15], [3, 5]], 37/313528320], [[[1, 16], [2, 9]], 832301/5350883328000], [[[1, 17], [2, 8]], 66983/764411904000], [[[1, 17], [3, 4]], 1691/188116992000], [[[1, 17], [5, 2]], 2971/2926264320000], [[[1, 18], [2, 7]], 1709/53508833280], [[[1, 19], [2, 6]], 155023/20065812480000], [[[1, 19], [3, 3]], 221/658409472000], [[[1, 19], [7, 1]], 1/91445760000], [[[1, 20], [2, 5]], 78377/62426972160000], [[[1, 21], [2, 4]], 76837/561842749440000], [[[1, 21], [3, 2]], 53/8778792960000], [[[1, 21], [5, 1]], 31/35115171840000], [[[1, 22], [2, 3]], 1649/168552824832000], [[[1, 23], [2, 2]], 41/93640458240000], [[[1, 23], [3, 1]], 1/21499084800000], [[[1, 24], [2, 1]], 31/2809213747200000], [[[2, 5], [10, 5]], 1/150000], [[[2, 9], [10, 4]], 1/896000], [[[2, 11], [6, 7]], 1/839808], [[[2, 13], [6, 6]], 23/33592320], [[[2, 13], [10, 3]], 1/17010000], [[[2, 13], [14, 2]], 1/16934400], [[[2, 15], [6, 5]], 37/313528320], [[[2, 17], [6, 4]], 1691/188116992000], [[[2, 17], [10, 2]], 2971/2926264320000], [[[2, 19], [6, 3]], 221/658409472000], [[[2, 19], [14, 1]], 1/91445760000], [[[2, 21], [6, 2]], 53/8778792960000], [[[2, 21], [10, 1]], 31/35115171840000], [[[2, 23], [6, 1]], 1/21499084800000], [[[1, 1], [2, 4], [10, 5]], 1/50000], [[[1, 1], [2, 8], [10, 4]], 7/480000], [[[1, 1], [2, 10], [6, 7]], 1/279936], [[[1, 1], [2, 12], [6, 6]], 77/11197440], [[[1, 1], [2, 12], [10, 3]], 31/22680000], [[[1, 1], [2, 12], [14, 2]], 23/16934400], [[[1, 1], [2, 14], [6, 5]], 59/26127360], [[[1, 1], [2, 16], [6, 4]], 1661/6270566400], [[[1, 1], [2, 16], [10, 2]], 100501/2926264320000], [[[1, 1], [2, 18], [6, 3]], 12137/877879296000], [[[1, 1], [2, 18], [14, 1]], 83/146313216000], [[[1, 1], [2, 20], [6, 2]], 3889/11705057280000], [[[1, 1], [2, 20], [10, 1]], 1859/35115171840000], [[[1, 1], [2, 22], [4, 1]], 29/140460687360000], [[[1, 1], [2, 22], [6, 1]], 59/17557585920000], [[[1, 2], [2, 7], [10, 4]], 49/960000], [[[1, 2], [2, 9], [6, 7]], 1/279936], [[[1, 2], [2, 11], [6, 6]], 1/51840], [[[1, 2], [2, 11], [10, 3]], 463/40320000], [[[1, 2], [2, 11], [14, 2]], 19/1693440], [[[1, 2], [2, 13], [6, 5]], 509/34836480], [[[1, 2], [2, 15], [6, 4]], 461/156764160], [[[1, 2], [2, 15], [10, 2]], 16307/34836480000], [[[1, 2], [2, 17], [6, 3]], 3331/14631321600], [[[1, 2], [2, 17], [14, 1]], 433/36578304000], [[[1, 2], [2, 19], [4, 2]], 3827/46820229120000], [[[1, 2], [2, 19], [6, 2]], 737/97542144000], [[[1, 2], [2, 19], [10, 1]], 46111/35115171840000], [[[1, 2], [2, 21], [4, 1]], 1903/140460687360000], [[[1, 2], [2, 21], [6, 1]], 1793/17557585920000], [[[1, 3], [2, 6], [10, 4]], 1/19200], [[[1, 3], [2, 8], [6, 7]], 1/839808], [[[1, 3], [2, 10], [6, 6]], 37/1679616], [[[1, 3], [2, 10], [10, 3]], 37/864000], [[[1, 3], [2, 10], [14, 2]], 23/564480], [[[1, 3], [2, 12], [6, 5]], 517/13063680], [[[1, 3], [2, 14], [6, 4]], 291899/18811699200], [[[1, 3], [2, 14], [10, 2]], 23021/6967296000], [[[1, 3], [2, 16], [4, 3]], 137/18579456000], [[[1, 3], [2, 16], [6, 3]], 18149/9405849600], [[[1, 3], [2, 16], [14, 1]], 53/406425600], [[[1, 3], [2, 18], [4, 2]], 11173/3121348608000], [[[1, 3], [2, 18], [6, 2]], 216821/2341011456000], [[[1, 3], [2, 18], [10, 1]], 41449/2341011456000], [[[1, 3], [2, 20], [4, 1]], 52181/140460687360000], [[[1, 3], [2, 20], [6, 1]], 323/188116992000], [[[1, 3], [3, 1], [5, 5]], 1/75000], [[[1, 3], [5, 4], [7, 1]], 1/35000], [[[1, 4], [2, 1], [5, 5]], 1/50000], [[[1, 4], [2, 5], [10, 4]], 1/1920000], [[[1, 4], [2, 9], [6, 6]], 23/2239488], [[[1, 4], [2, 9], [10, 3]], 209/2880000], [[[1, 4], [2, 9], [14, 2]], 5/75264], [[[1, 4], [2, 11], [6, 5]], 743/14929920], [[[1, 4], [2, 13], [4, 4]], 131/495452160], [[[1, 4], [2, 13], [6, 4]], 821/19906560], [[[1, 4], [2, 13], [10, 2]], 905813/69672960000], [[[1, 4], [2, 15], [4, 3]], 2497/11147673600], [[[1, 4], [2, 15], [6, 3]], 56831/6270566400], [[[1, 4], [2, 15], [14, 1]], 1/1204224], [[[1, 4], [2, 17], [4, 2]], 21527/334430208000], [[[1, 4], [2, 17], [6, 2]], 2797/4180377600], [[[1, 4], [2, 17], [10, 1]], 119431/836075520000], [[[1, 4], [2, 19], [4, 1]], 10481/1872809164800], [[[1, 4], [2, 19], [6, 1]], 27539/1560674304000], [[[1, 5], [2, 4], [5, 4]], 1/1920000], [[[1, 5], [2, 8], [6, 6]], 1/746496], [[[1, 5], [2, 8], [10, 3]], 67/1440000], [[[1, 5], [2, 8], [14, 2]], 1/25088], [[[1, 5], [2, 10], [4, 5]], 17/1966080], [[[1, 5], [2, 10], [6, 5]], 7/248832], [[[1, 5], [2, 12], [4, 4]], 12571/2477260800], [[[1, 5], [2, 12], [5, 2]], 1/967680000], [[[1, 5], [2, 12], [6, 4]], 671/11943936], [[[1, 5], [2, 12], [10, 2]], 222659/7741440000], [[[1, 5], [2, 14], [4, 3]], 29189/11147673600], [[[1, 5], [2, 14], [6, 3]], 99997/4180377600], [[[1, 5], [2, 14], [14, 1]], 25519/8128512000], [[[1, 5], [2, 16], [4, 2]], 2741/4459069440], [[[1, 5], [2, 16], [6, 2]], 10891/3715891200], [[[1, 5], [2, 16], [10, 1]], 597323/836075520000], [[[1, 5], [2, 18], [4, 1]], 34169/668860416000], [[[1, 5], [2, 18], [6, 1]], 48269/418037760000], [[[1, 5], [3, 2], [5, 4]], 1/20000], [[[1, 5], [3, 4], [5, 3]], 1/243000], [[[1, 5], [5, 2], [7, 2]], 1/29400], [[[1, 5], [5, 3], [10, 2]], 1/6000], [[[1, 6], [2, 3], [5, 4]], 1/19200], [[[1, 6], [2, 7], [4, 6]], 3/65536], [[[1, 6], [2, 7], [10, 3]], 1/640000], [[[1, 6], [2, 9], [4, 5]], 131/1966080], [[[1, 6], [2, 9], [6, 5]], 49/8957952], [[[1, 6], [2, 11], [4, 4]], 1331/35389440], [[[1, 6], [2, 11], [5, 2]], 1/34560000], [[[1, 6], [2, 11], [6, 4]], 829/22394880], [[[1, 6], [2, 11], [10, 2]], 2077/61440000], [[[1, 6], [2, 13], [4, 3]], 55709/3715891200], [[[1, 6], [2, 13], [6, 3]], 219181/6270566400], [[[1, 6], [2, 13], [7, 1]], 23/6096384000], [[[1, 6], [2, 13], [14, 1]], 809/116121600], [[[1, 6], [2, 15], [4, 2]], 752519/222953472000], [[[1, 6], [2, 15], [6, 2]], 194693/25082265600], [[[1, 6], [2, 15], [10, 1]], 619513/278691840000], [[[1, 6], [2, 17], [4, 1]], 196331/668860416000], [[[1, 6], [2, 17], [6, 1]], 30491/62705664000], [[[1, 7], [2, 2], [5, 4]], 49/960000], [[[1, 7], [2, 6], [4, 6]], 3/65536], [[[1, 7], [2, 6], [5, 3]], 1/640000], [[[1, 7], [2, 8], [4, 5]], 1/6144], [[[1, 7], [2, 10], [4, 4]], 1469/11796480], [[[1, 7], [2, 10], [5, 2]], 1/4608000], [[[1, 7], [2, 10], [6, 4]], 559/59719680], [[[1, 7], [2, 10], [10, 2]], 383/22118400], [[[1, 7], [2, 12], [3, 3]], 1/3135283200], [[[1, 7], [2, 12], [4, 3]], 516853/11147673600], [[[1, 7], [2, 12], [6, 3]], 493/18662400], [[[1, 7], [2, 12], [7, 1]], 11/101606400], [[[1, 7], [2, 12], [14, 1]], 83/9676800], [[[1, 7], [2, 14], [3, 2]], 47/125411328000], [[[1, 7], [2, 14], [4, 2]], 2426719/222953472000], [[[1, 7], [2, 14], [5, 1]], 47/34836480000], [[[1, 7], [2, 14], [6, 2]], 134941/11147673600], [[[1, 7], [2, 14], [10, 1]], 1739/412876800], [[[1, 7], [2, 16], [4, 1]], 714817/668860416000], [[[1, 7], [2, 16], [6, 1]], 54557/41803776000], [[[1, 7], [3, 1], [5, 4]], 1/40000], [[[1, 7], [3, 3], [5, 3]], 133/1944000], [[[1, 7], [3, 3], [7, 2]], 1/21168], [[[1, 7], [3, 5], [5, 2]], 1/116640], [[[1, 7], [5, 3], [7, 1]], 1/78750], [[[1, 8], [2, 1], [5, 4]], 7/480000], [[[1, 8], [2, 3], [3, 7]], 1/839808], [[[1, 8], [2, 5], [3, 6]], 1/746496], [[[1, 8], [2, 5], [5, 3]], 67/1440000], [[[1, 8], [2, 5], [7, 2]], 1/25088], [[[1, 8], [2, 7], [4, 5]], 1/6144], [[[1, 8], [2, 9], [4, 4]], 7147/35389440], [[[1, 8], [2, 9], [5, 2]], 13/29491200], [[[1, 8], [2, 9], [6, 4]], 7/39813120], [[[1, 8], [2, 9], [10, 2]], 223/147456000], [[[1, 8], [2, 11], [3, 3]], 1/111974400], [[[1, 8], [2, 11], [4, 3]], 63293/743178240], [[[1, 8], [2, 11], [6, 3]], 253/29859840], [[[1, 8], [2, 11], [7, 1]], 1/1161216], [[[1, 8], [2, 11], [14, 1]], 29/5529600], [[[1, 8], [2, 13], [3, 2]], 103/8957952000], [[[1, 8], [2, 13], [4, 2]], 199477/9555148800], [[[1, 8], [2, 13], [5, 1]], 2071/52254720000], [[[1, 8], [2, 13], [6, 2]], 8293/796262400], [[[1, 8], [2, 13], [10, 1]], 4889/1061683200], [[[1, 8], [2, 15], [3, 1]], 1/2612736000], [[[1, 8], [2, 15], [4, 1]], 1628191/668860416000], [[[1, 8], [2, 15], [6, 1]], 53759/24772608000], [[[1, 9], [2, 2], [3, 7]], 1/279936], [[[1, 9], [2, 4], [3, 6]], 23/2239488], [[[1, 9], [2, 4], [5, 3]], 209/2880000], [[[1, 9], [2, 4], [7, 2]], 5/75264], [[[1, 9], [2, 6], [3, 5]], 49/8957952], [[[1, 9], [2, 6], [4, 5]], 131/1966080], [[[1, 9], [2, 8], [3, 4]], 7/39813120], [[[1, 9], [2, 8], [4, 4]], 7147/35389440], [[[1, 9], [2, 8], [5, 2]], 223/147456000], [[[1, 9], [2, 8], [10, 2]], 13/29491200], [[[1, 9], [2, 10], [3, 3]], 1/14929920], [[[1, 9], [2, 10], [4, 3]], 14231/132710400], [[[1, 9], [2, 10], [6, 3]], 143/238878720], [[[1, 9], [2, 10], [7, 1]], 1/483840], [[[1, 9], [2, 10], [14, 1]], 67/30965760], [[[1, 9], [2, 12], [3, 2]], 127/1194393600], [[[1, 9], [2, 12], [4, 2]], 8556767/334430208000], [[[1, 9], [2, 12], [5, 1]], 143/430080000], [[[1, 9], [2, 12], [6, 2]], 13903/3185049600], [[[1, 9], [2, 12], [10, 1]], 539/196608000], [[[1, 9], [2, 14], [3, 1]], 103/8957952000], [[[1, 9], [2, 14], [4, 1]], 509057/148635648000], [[[1, 9], [2, 14], [6, 1]], 949/445906944], [[[1, 9], [3, 2], [5, 3]], 1423/45360000], [[[1, 9], [3, 2], [7, 2]], 1/35280], [[[1, 9], [3, 4], [5, 2]], 977/23328000], [[[1, 9], [3, 5], [7, 1]], 5/326592], [[[1, 9], [3, 5], [9, 1]], 1/46656], [[[1, 9], [3, 6], [5, 1]], 1/174960], [[[1, 9], [5, 1], [7, 2]], 1/352800], [[[1, 9], [5, 2], [10, 2]], 1/8064000], [[[1, 10], [2, 1], [3, 7]], 1/279936], [[[1, 10], [2, 3], [3, 6]], 37/1679616], [[[1, 10], [2, 3], [5, 3]], 37/864000], [[[1, 10], [2, 3], [7, 2]], 23/564480], [[[1, 10], [2, 5], [3, 5]], 7/248832], [[[1, 10], [2, 5], [4, 5]], 17/1966080], [[[1, 10], [2, 7], [3, 4]], 559/59719680], [[[1, 10], [2, 7], [4, 4]], 1469/11796480], [[[1, 10], [2, 7], [5, 2]], 383/22118400], [[[1, 10], [2, 7], [10, 2]], 1/4608000], [[[1, 10], [2, 9], [3, 3]], 143/238878720], [[[1, 10], [2, 9], [4, 3]], 14231/132710400], [[[1, 10], [2, 9], [6, 3]], 1/14929920], [[[1, 10], [2, 9], [7, 1]], 67/30965760], [[[1, 10], [2, 9], [14, 1]], 1/483840], [[[1, 10], [2, 11], [3, 2]], 3533/9555148800], [[[1, 10], [2, 11], [4, 2]], 118179751/4682022912000], [[[1, 10], [2, 11], [5, 1]], 8203/8847360000], [[[1, 10], [2, 11], [6, 2]], 5/5308416], [[[1, 10], [2, 11], [10, 1]], 6821/5308416000], [[[1, 10], [2, 13], [3, 1]], 7937/78382080000], [[[1, 10], [2, 13], [4, 1]], 12706153/4013162496000], [[[1, 10], [2, 13], [6, 1]], 13441/11147673600], [[[1, 11], [2, 2], [3, 6]], 1/51840], [[[1, 11], [2, 2], [5, 3]], 463/40320000], [[[1, 11], [2, 2], [7, 2]], 19/1693440], [[[1, 11], [2, 4], [3, 5]], 743/14929920], [[[1, 11], [2, 6], [3, 4]], 829/22394880], [[[1, 11], [2, 6], [4, 4]], 1331/35389440], [[[1, 11], [2, 6], [5, 2]], 2077/61440000], [[[1, 11], [2, 6], [10, 2]], 1/34560000], [[[1, 11], [2, 8], [3, 3]], 253/29859840], [[[1, 11], [2, 8], [4, 3]], 63293/743178240], [[[1, 11], [2, 8], [6, 3]], 1/111974400], [[[1, 11], [2, 8], [7, 1]], 29/5529600], [[[1, 11], [2, 8], [14, 1]], 1/1161216], [[[1, 11], [2, 10], [3, 2]], 5/5308416], [[[1, 11], [2, 10], [4, 2]], 118179751/4682022912000], [[[1, 11], [2, 10], [5, 1]], 6821/5308416000], [[[1, 11], [2, 10], [6, 2]], 3533/9555148800], [[[1, 11], [2, 10], [10, 1]], 8203/8847360000], [[[1, 11], [2, 12], [3, 1]], 60043/187280916480], [[[1, 11], [2, 12], [4, 1]], 4579891/1755758592000], [[[1, 11], [2, 12], [6, 1]], 23251/41803776000], [[[1, 11], [3, 1], [5, 3]], 2789/1088640000], [[[1, 11], [3, 1], [7, 2]], 1/403200], [[[1, 11], [3, 3], [5, 2]], 10211/653184000], [[[1, 11], [3, 4], [7, 1]], 61/6531840], [[[1, 11], [3, 4], [9, 1]], 1/233280], [[[1, 11], [3, 5], [5, 1]], 1/93312], [[[1, 11], [5, 2], [7, 1]], 1163/1270080000], [[[1, 12], [2, 1], [3, 6]], 77/11197440], [[[1, 12], [2, 1], [5, 3]], 31/22680000], [[[1, 12], [2, 1], [7, 2]], 23/16934400], [[[1, 12], [2, 3], [3, 5]], 517/13063680], [[[1, 12], [2, 5], [3, 4]], 671/11943936], [[[1, 12], [2, 5], [4, 4]], 12571/2477260800], [[[1, 12], [2, 5], [5, 2]], 222659/7741440000], [[[1, 12], [2, 5], [10, 2]], 1/967680000], [[[1, 12], [2, 7], [3, 3]], 493/18662400], [[[1, 12], [2, 7], [4, 3]], 516853/11147673600], [[[1, 12], [2, 7], [6, 3]], 1/3135283200], [[[1, 12], [2, 7], [7, 1]], 83/9676800], [[[1, 12], [2, 7], [14, 1]], 11/101606400], [[[1, 12], [2, 9], [3, 2]], 13903/3185049600], [[[1, 12], [2, 9], [4, 2]], 8556767/334430208000], [[[1, 12], [2, 9], [5, 1]], 539/196608000], [[[1, 12], [2, 9], [6, 2]], 127/1194393600], [[[1, 12], [2, 9], [10, 1]], 143/430080000], [[[1, 12], [2, 11], [3, 1]], 23251/41803776000], [[[1, 12], [2, 11], [4, 1]], 4579891/1755758592000], [[[1, 12], [2, 11], [6, 1]], 60043/187280916480], [[[1, 13], [2, 2], [3, 5]], 509/34836480], [[[1, 13], [2, 4], [3, 4]], 821/19906560], [[[1, 13], [2, 4], [4, 4]], 131/495452160], [[[1, 13], [2, 4], [5, 2]], 905813/69672960000], [[[1, 13], [2, 6], [3, 3]], 219181/6270566400], [[[1, 13], [2, 6], [4, 3]], 55709/3715891200], [[[1, 13], [2, 6], [7, 1]], 809/116121600], [[[1, 13], [2, 6], [14, 1]], 23/6096384000], [[[1, 13], [2, 8], [3, 2]], 8293/796262400], [[[1, 13], [2, 8], [4, 2]], 199477/9555148800], [[[1, 13], [2, 8], [5, 1]], 4889/1061683200], [[[1, 13], [2, 8], [6, 2]], 103/8957952000], [[[1, 13], [2, 8], [10, 1]], 2071/52254720000], [[[1, 13], [2, 10], [3, 1]], 13441/11147673600], [[[1, 13], [2, 10], [4, 1]], 12706153/4013162496000], [[[1, 13], [2, 10], [6, 1]], 7937/78382080000], [[[1, 13], [3, 2], [5, 2]], 42823/26127360000], [[[1, 13], [3, 3], [7, 1]], 2473/1828915200], [[[1, 13], [3, 3], [9, 1]], 1/3483648], [[[1, 13], [3, 4], [5, 1]], 431/163296000], [[[1, 14], [2, 1], [3, 5]], 59/26127360], [[[1, 14], [2, 3], [3, 4]], 291899/18811699200], [[[1, 14], [2, 3], [5, 2]], 23021/6967296000], [[[1, 14], [2, 5], [3, 3]], 99997/4180377600], [[[1, 14], [2, 5], [4, 3]], 29189/11147673600], [[[1, 14], [2, 5], [7, 1]], 25519/8128512000], [[[1, 14], [2, 7], [3, 2]], 134941/11147673600], [[[1, 14], [2, 7], [4, 2]], 2426719/222953472000], [[[1, 14], [2, 7], [5, 1]], 1739/412876800], [[[1, 14], [2, 7], [6, 2]], 47/125411328000], [[[1, 14], [2, 7], [10, 1]], 47/34836480000], [[[1, 14], [2, 9], [3, 1]], 949/445906944], [[[1, 14], [2, 9], [4, 1]], 509057/148635648000], [[[1, 14], [2, 9], [6, 1]], 103/8957952000], [[[1, 15], [2, 2], [3, 4]], 461/156764160], [[[1, 15], [2, 2], [5, 2]], 16307/34836480000], [[[1, 15], [2, 4], [3, 3]], 56831/6270566400], [[[1, 15], [2, 4], [4, 3]], 2497/11147673600], [[[1, 15], [2, 4], [7, 1]], 1/1204224], [[[1, 15], [2, 6], [3, 2]], 194693/25082265600], [[[1, 15], [2, 6], [4, 2]], 752519/222953472000], [[[1, 15], [2, 6], [5, 1]], 619513/278691840000], [[[1, 15], [2, 8], [3, 1]], 53759/24772608000], [[[1, 15], [2, 8], [4, 1]], 1628191/668860416000], [[[1, 15], [2, 8], [6, 1]], 1/2612736000], [[[1, 15], [3, 1], [5, 2]], 2501/36578304000], [[[1, 15], [3, 2], [7, 1]], 353/4572288000], [[[1, 15], [3, 2], [9, 1]], 19/2612736000], [[[1, 15], [3, 3], [5, 1]], 3761/15676416000], [[[1, 15], [5, 1], [7, 1]], 281/15240960000], [[[1, 16], [2, 1], [3, 4]], 1661/6270566400], [[[1, 16], [2, 1], [5, 2]], 100501/2926264320000], [[[1, 16], [2, 3], [3, 3]], 18149/9405849600], [[[1, 16], [2, 3], [4, 3]], 137/18579456000], [[[1, 16], [2, 3], [7, 1]], 53/406425600], [[[1, 16], [2, 5], [3, 2]], 10891/3715891200], [[[1, 16], [2, 5], [4, 2]], 2741/4459069440], [[[1, 16], [2, 5], [5, 1]], 597323/836075520000], [[[1, 16], [2, 7], [3, 1]], 54557/41803776000], [[[1, 16], [2, 7], [4, 1]], 714817/668860416000], [[[1, 17], [2, 2], [3, 3]], 3331/14631321600], [[[1, 17], [2, 2], [7, 1]], 433/36578304000], [[[1, 17], [2, 4], [3, 2]], 2797/4180377600], [[[1, 17], [2, 4], [4, 2]], 21527/334430208000], [[[1, 17], [2, 4], [5, 1]], 119431/836075520000], [[[1, 17], [2, 6], [3, 1]], 30491/62705664000], [[[1, 17], [2, 6], [4, 1]], 196331/668860416000], [[[1, 17], [3, 1], [7, 1]], 37/20901888000], [[[1, 17], [3, 1], [9, 1]], 1/20901888000], [[[1, 17], [3, 2], [5, 1]], 7139/731566080000], [[[1, 18], [2, 1], [3, 3]], 12137/877879296000], [[[1, 18], [2, 1], [7, 1]], 83/146313216000], [[[1, 18], [2, 3], [3, 2]], 216821/2341011456000], [[[1, 18], [2, 3], [4, 2]], 11173/3121348608000], [[[1, 18], [2, 3], [5, 1]], 41449/2341011456000], [[[1, 18], [2, 5], [3, 1]], 48269/418037760000], [[[1, 18], [2, 5], [4, 1]], 34169/668860416000], [[[1, 19], [2, 2], [3, 2]], 737/97542144000], [[[1, 19], [2, 2], [4, 2]], 3827/46820229120000], [[[1, 19], [2, 2], [5, 1]], 46111/35115171840000], [[[1, 19], [2, 4], [3, 1]], 27539/1560674304000], [[[1, 19], [2, 4], [4, 1]], 10481/1872809164800], [[[1, 19], [3, 1], [5, 1]], 499/2926264320000], [[[1, 20], [2, 1], [3, 2]], 3889/11705057280000], [[[1, 20], [2, 1], [5, 1]], 1859/35115171840000], [[[1, 20], [2, 3], [3, 1]], 323/188116992000], [[[1, 20], [2, 3], [4, 1]], 52181/140460687360000], [[[1, 21], [2, 2], [3, 1]], 1793/17557585920000], [[[1, 21], [2, 2], [4, 1]], 1903/140460687360000], [[[1, 22], [2, 1], [3, 1]], 59/17557585920000], [[[1, 22], [2, 1], [4, 1]], 29/140460687360000], [[[2, 3], [6, 1], [10, 5]], 1/75000], [[[2, 3], [10, 4], [14, 1]], 1/35000], [[[2, 5], [5, 2], [10, 3]], 1/6000], [[[2, 5], [6, 2], [10, 4]], 1/20000], [[[2, 5], [6, 4], [10, 3]], 1/243000], [[[2, 5], [10, 2], [14, 2]], 1/29400], [[[2, 7], [6, 1], [10, 4]], 1/40000], [[[2, 7], [6, 3], [10, 3]], 133/1944000], [[[2, 7], [6, 3], [14, 2]], 1/21168], [[[2, 7], [6, 5], [10, 2]], 1/116640], [[[2, 7], [10, 3], [14, 1]], 1/78750], [[[2, 9], [5, 2], [10, 2]], 1/8064000], [[[2, 9], [6, 2], [10, 3]], 1423/45360000], [[[2, 9], [6, 2], [14, 2]], 1/35280], [[[2, 9], [6, 4], [10, 2]], 977/23328000], [[[2, 9], [6, 5], [14, 1]], 5/326592], [[[2, 9], [6, 5], [18, 1]], 1/46656], [[[2, 9], [6, 6], [10, 1]], 1/174960], [[[2, 9], [10, 1], [14, 2]], 1/352800], [[[2, 11], [6, 1], [10, 3]], 2789/1088640000], [[[2, 11], [6, 1], [14, 2]], 1/403200], [[[2, 11], [6, 3], [10, 2]], 10211/653184000], [[[2, 11], [6, 4], [14, 1]], 61/6531840], [[[2, 11], [6, 4], [18, 1]], 1/233280], [[[2, 11], [6, 5], [10, 1]], 1/93312], [[[2, 11], [10, 2], [14, 1]], 1163/1270080000], [[[2, 13], [6, 2], [10, 2]], 42823/26127360000], [[[2, 13], [6, 3], [14, 1]], 2473/1828915200], [[[2, 13], [6, 3], [18, 1]], 1/3483648], [[[2, 13], [6, 4], [10, 1]], 431/163296000], [[[2, 15], [6, 1], [10, 2]], 2501/36578304000], [[[2, 15], [6, 2], [14, 1]], 353/4572288000], [[[2, 15], [6, 2], [18, 1]], 19/2612736000], [[[2, 15], [6, 3], [10, 1]], 3761/15676416000], [[[2, 15], [10, 1], [14, 1]], 281/15240960000], [[[2, 17], [6, 1], [14, 1]], 37/20901888000], [[[2, 17], [6, 1], [18, 1]], 1/20901888000], [[[2, 17], [6, 2], [10, 1]], 7139/731566080000], [[[2, 19], [6, 1], [10, 1]], 499/2926264320000], [[[1, 1], [2, 4], [5, 1], [10, 4]], 1/30000], [[[1, 1], [2, 4], [5, 2], [10, 3]], 1/2000], [[[1, 1], [2, 4], [5, 3], [10, 2]], 1/30000], [[[1, 1], [2, 4], [6, 2], [10, 4]], 1/20000], [[[1, 1], [2, 4], [10, 2], [14, 2]], 1/9800], [[[1, 1], [2, 6], [4, 1], [10, 4]], 17/480000], [[[1, 1], [2, 6], [6, 1], [10, 4]], 7/60000], [[[1, 1], [2, 6], [6, 3], [10, 3]], 47/324000], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/10584], [[[1, 1], [2, 6], [6, 5], [10, 2]], 1/116640], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/10500], [[[1, 1], [2, 8], [5, 1], [10, 3]], 113/40320000], [[[1, 1], [2, 8], [5, 2], [10, 2]], 1/288000], [[[1, 1], [2, 8], [5, 3], [10, 1]], 1/40320000], [[[1, 1], [2, 8], [6, 2], [10, 3]], 443/2160000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 1/5880], [[[1, 1], [2, 8], [6, 4], [10, 2]], 679/4665600], [[[1, 1], [2, 8], [6, 5], [14, 1]], 13/326592], [[[1, 1], [2, 8], [6, 5], [18, 1]], 1/15552], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/87480], [[[1, 1], [2, 8], [10, 1], [14, 2]], 13/352800], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/69984], [[[1, 1], [2, 10], [4, 1], [6, 6]], 11/1119744], [[[1, 1], [2, 10], [4, 1], [10, 3]], 479/120960000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 1/282240], [[[1, 1], [2, 10], [6, 1], [10, 3]], 4547/120960000], [[[1, 1], [2, 10], [6, 1], [14, 2]], 1/28224], [[[1, 1], [2, 10], [6, 3], [10, 2]], 22961/163296000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 61/816480], [[[1, 1], [2, 10], [6, 4], [18, 1]], 1/19440], [[[1, 1], [2, 10], [6, 5], [10, 1]], 1/17280], [[[1, 1], [2, 10], [10, 2], [14, 1]], 1333/84672000], [[[1, 1], [2, 12], [3, 1], [6, 5]], 29/5598720], [[[1, 1], [2, 12], [4, 1], [6, 5]], 1/138240], [[[1, 1], [2, 12], [5, 1], [10, 2]], 29/483840000], [[[1, 1], [2, 12], [6, 2], [10, 2]], 362129/13063680000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 1013/45722880], [[[1, 1], [2, 12], [6, 3], [18, 1]], 1/161280], [[[1, 1], [2, 12], [6, 4], [10, 1]], 329/9331200], [[[1, 1], [2, 14], [3, 1], [6, 4]], 929/1567641600], [[[1, 1], [2, 14], [4, 1], [6, 4]], 2701/2090188800], [[[1, 1], [2, 14], [4, 1], [10, 2]], 341/2903040000], [[[1, 1], [2, 14], [6, 1], [10, 2]], 45217/26127360000], [[[1, 1], [2, 14], [6, 2], [14, 1]], 1453/731566080], [[[1, 1], [2, 14], [6, 2], [18, 1]], 41/174182400], [[[1, 1], [2, 14], [6, 3], [10, 1]], 84919/15676416000], [[[1, 1], [2, 14], [10, 1], [14, 1]], 1537/3048192000], [[[1, 1], [2, 16], [3, 1], [6, 3]], 259/8957952000], [[[1, 1], [2, 16], [4, 1], [6, 3]], 2951/31352832000], [[[1, 1], [2, 16], [4, 1], [14, 1]], 71/12192768000], [[[1, 1], [2, 16], [5, 1], [10, 1]], 1/23224320000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 1177/18289152000], [[[1, 1], [2, 16], [6, 1], [18, 1]], 1/435456000], [[[1, 1], [2, 16], [6, 2], [10, 1]], 19457/60963840000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 37/62705664000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 1229/390168576000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 23/836075520000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 3431/5852528640000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 11027/1463132160000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 17/5016453120000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 107/2341011456000], [[[1, 2], [2, 3], [4, 2], [10, 4]], 1/160000], [[[1, 2], [2, 3], [5, 1], [10, 4]], 1/10000], [[[1, 2], [2, 3], [5, 3], [10, 2]], 1/10000], [[[1, 2], [2, 5], [4, 1], [10, 4]], 9/80000], [[[1, 2], [2, 5], [6, 1], [10, 4]], 13/120000], [[[1, 2], [2, 5], [6, 3], [10, 3]], 1/14400], [[[1, 2], [2, 5], [6, 3], [14, 2]], 1/21168], [[[1, 2], [2, 5], [10, 3], [14, 1]], 1/7000], [[[1, 2], [2, 7], [4, 2], [10, 3]], 11/160000], [[[1, 2], [2, 7], [4, 2], [14, 2]], 1/18816], [[[1, 2], [2, 7], [5, 1], [10, 3]], 53/1440000], [[[1, 2], [2, 7], [5, 2], [10, 2]], 1/38400], [[[1, 2], [2, 7], [5, 3], [10, 1]], 1/1440000], [[[1, 2], [2, 7], [6, 2], [10, 3]], 53/144000], [[[1, 2], [2, 7], [6, 2], [14, 2]], 1/3528], [[[1, 2], [2, 7], [6, 4], [10, 2]], 47/311040], [[[1, 2], [2, 7], [6, 5], [14, 1]], 11/326592], [[[1, 2], [2, 7], [6, 5], [18, 1]], 1/15552], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/174960], [[[1, 2], [2, 7], [10, 1], [14, 2]], 1/7840], [[[1, 2], [2, 9], [3, 1], [6, 6]], 1/23328], [[[1, 2], [2, 9], [3, 2], [6, 5]], 1/31104], [[[1, 2], [2, 9], [4, 1], [6, 6]], 25/1119744], [[[1, 2], [2, 9], [4, 1], [10, 3]], 77/1440000], [[[1, 2], [2, 9], [4, 1], [14, 2]], 13/282240], [[[1, 2], [2, 9], [4, 2], [6, 5]], 23/746496], [[[1, 2], [2, 9], [6, 1], [10, 3]], 487/2880000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 43/282240], [[[1, 2], [2, 9], [6, 3], [10, 2]], 1207/3110400], [[[1, 2], [2, 9], [6, 4], [14, 1]], 283/1632960], [[[1, 2], [2, 9], [6, 4], [18, 1]], 1/6480], [[[1, 2], [2, 9], [6, 5], [10, 1]], 47/466560], [[[1, 2], [2, 9], [10, 2], [14, 1]], 181/2016000], [[[1, 2], [2, 11], [3, 1], [6, 5]], 101/1866240], [[[1, 2], [2, 11], [3, 2], [6, 4]], 1/138240], [[[1, 2], [2, 11], [4, 1], [6, 5]], 107/1866240], [[[1, 2], [2, 11], [4, 2], [6, 4]], 893/29859840], [[[1, 2], [2, 11], [4, 2], [8, 2]], 109/464486400], [[[1, 2], [2, 11], [4, 2], [10, 2]], 26393/5806080000], [[[1, 2], [2, 11], [5, 1], [10, 2]], 341/241920000], [[[1, 2], [2, 11], [6, 2], [10, 2]], 13181/82944000], [[[1, 2], [2, 11], [6, 3], [14, 1]], 43469/365783040], [[[1, 2], [2, 11], [6, 3], [18, 1]], 263/5806080], [[[1, 2], [2, 11], [6, 4], [10, 1]], 59/408240], [[[1, 2], [2, 13], [3, 1], [6, 4]], 427/37324800], [[[1, 2], [2, 13], [3, 2], [6, 3]], 1/2073600], [[[1, 2], [2, 13], [4, 1], [6, 4]], 277/13063680], [[[1, 2], [2, 13], [4, 1], [10, 2]], 2759/967680000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 787/149299200], [[[1, 2], [2, 13], [4, 2], [14, 1]], 151/406425600], [[[1, 2], [2, 13], [6, 1], [10, 2]], 20569/1244160000], [[[1, 2], [2, 13], [6, 2], [14, 1]], 6931/365783040], [[[1, 2], [2, 13], [6, 2], [18, 1]], 503/174182400], [[[1, 2], [2, 13], [6, 3], [10, 1]], 136879/3135283200], [[[1, 2], [2, 13], [10, 1], [14, 1]], 1807/338688000], [[[1, 2], [2, 15], [3, 1], [6, 3]], 5/5971968], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1/99532800], [[[1, 2], [2, 15], [4, 1], [6, 3]], 2201/895795200], [[[1, 2], [2, 15], [4, 1], [14, 1]], 89/487710720], [[[1, 2], [2, 15], [4, 2], [6, 2]], 2833/8360755200], [[[1, 2], [2, 15], [4, 2], [8, 1]], 191/13934592000], [[[1, 2], [2, 15], [4, 2], [10, 1]], 3821/69672960000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 1/483840000], [[[1, 2], [2, 15], [6, 1], [14, 1]], 1357/1463132160], [[[1, 2], [2, 15], [6, 1], [18, 1]], 1/23224320], [[[1, 2], [2, 15], [6, 2], [10, 1]], 10601/2612736000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 983/41803776000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 1063/9144576000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 227/167215104000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 132737/5852528640000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 5251/585252864000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 397423/2926264320000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 157/836075520000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 2641/1170505728000], [[[1, 3], [2, 2], [4, 2], [5, 4]], 1/160000], [[[1, 3], [2, 2], [5, 2], [10, 3]], 1/10000], [[[1, 3], [2, 2], [5, 4], [10, 1]], 1/10000], [[[1, 3], [2, 4], [4, 1], [10, 4]], 1/160000], [[[1, 3], [2, 4], [4, 3], [8, 3]], 1/1024], [[[1, 3], [2, 4], [4, 3], [10, 3]], 1/32000], [[[1, 3], [2, 6], [4, 2], [10, 3]], 1/4000], [[[1, 3], [2, 6], [4, 2], [14, 2]], 1/6272], [[[1, 3], [2, 6], [5, 1], [10, 3]], 1/7680], [[[1, 3], [2, 6], [5, 2], [10, 2]], 49/480000], [[[1, 3], [2, 6], [5, 3], [10, 1]], 1/192000], [[[1, 3], [2, 6], [6, 2], [10, 3]], 83/432000], [[[1, 3], [2, 6], [6, 2], [14, 2]], 1/7056], [[[1, 3], [2, 6], [6, 4], [10, 2]], 23/518400], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/108864], [[[1, 3], [2, 6], [6, 5], [18, 1]], 1/46656], [[[1, 3], [2, 6], [10, 1], [14, 2]], 1/7840], [[[1, 3], [2, 8], [3, 1], [6, 6]], 1/23328], [[[1, 3], [2, 8], [3, 2], [6, 5]], 1/10368], [[[1, 3], [2, 8], [4, 1], [6, 6]], 17/1119744], [[[1, 3], [2, 8], [4, 1], [10, 3]], 191/960000], [[[1, 3], [2, 8], [4, 1], [14, 2]], 1/6272], [[[1, 3], [2, 8], [4, 2], [6, 5]], 1/20736], [[[1, 3], [2, 8], [4, 3], [6, 4]], 5/110592], [[[1, 3], [2, 8], [4, 3], [8, 2]], 19/368640], [[[1, 3], [2, 8], [4, 3], [10, 2]], 139/2304000], [[[1, 3], [2, 8], [6, 1], [10, 3]], 503/1728000], [[[1, 3], [2, 8], [6, 1], [14, 2]], 1/4032], [[[1, 3], [2, 8], [6, 3], [10, 2]], 643/1555200], [[[1, 3], [2, 8], [6, 4], [14, 1]], 17/108864], [[[1, 3], [2, 8], [6, 4], [18, 1]], 1/5832], [[[1, 3], [2, 8], [6, 5], [10, 1]], 31/466560], [[[1, 3], [2, 8], [10, 2], [14, 1]], 9/44800], [[[1, 3], [2, 10], [3, 1], [6, 5]], 1/6480], [[[1, 3], [2, 10], [3, 2], [6, 4]], 31/414720], [[[1, 3], [2, 10], [4, 1], [6, 5]], 77/622080], [[[1, 3], [2, 10], [4, 2], [5, 2]], 1/64512000], [[[1, 3], [2, 10], [4, 2], [6, 4]], 899/4976640], [[[1, 3], [2, 10], [4, 2], [8, 2]], 33/5734400], [[[1, 3], [2, 10], [4, 2], [10, 2]], 2819/43008000], [[[1, 3], [2, 10], [4, 3], [6, 3]], 103/1658880], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1/129024], [[[1, 3], [2, 10], [5, 1], [10, 2]], 233/19353600], [[[1, 3], [2, 10], [5, 2], [10, 1]], 47/1451520000], [[[1, 3], [2, 10], [6, 2], [10, 2]], 8183/20736000], [[[1, 3], [2, 10], [6, 3], [14, 1]], 1/3780], [[[1, 3], [2, 10], [6, 3], [18, 1]], 41/311040], [[[1, 3], [2, 10], [6, 4], [10, 1]], 43/172800], [[[1, 3], [2, 12], [3, 1], [6, 4]], 7853/104509440], [[[1, 3], [2, 12], [3, 2], [6, 3]], 37/4147200], [[[1, 3], [2, 12], [4, 1], [6, 4]], 47213/418037760], [[[1, 3], [2, 12], [4, 1], [10, 2]], 18421/725760000], [[[1, 3], [2, 12], [4, 2], [6, 3]], 5147/69672960], [[[1, 3], [2, 12], [4, 2], [14, 1]], 1033/135475200], [[[1, 3], [2, 12], [4, 3], [6, 2]], 781/77414400], [[[1, 3], [2, 12], [4, 3], [8, 1]], 827/928972800], [[[1, 3], [2, 12], [4, 3], [10, 1]], 4373/2322432000], [[[1, 3], [2, 12], [6, 1], [10, 2]], 43811/580608000], [[[1, 3], [2, 12], [6, 2], [14, 1]], 4103/48771072], [[[1, 3], [2, 12], [6, 2], [18, 1]], 1753/104509440], [[[1, 3], [2, 12], [6, 3], [10, 1]], 23449/149299200], [[[1, 3], [2, 12], [10, 1], [14, 1]], 1879/67737600], [[[1, 3], [2, 14], [3, 1], [6, 3]], 19261/2090188800], [[[1, 3], [2, 14], [3, 2], [6, 2]], 1/3686400], [[[1, 3], [2, 14], [4, 1], [6, 3]], 21181/895795200], [[[1, 3], [2, 14], [4, 1], [14, 1]], 1837/812851200], [[[1, 3], [2, 14], [4, 2], [6, 2]], 7303/928972800], [[[1, 3], [2, 14], [4, 2], [8, 1]], 221/557383680], [[[1, 3], [2, 14], [4, 2], [10, 1]], 20719/13934592000], [[[1, 3], [2, 14], [4, 3], [6, 1]], 17/34406400], [[[1, 3], [2, 14], [5, 1], [10, 1]], 1/25804800], [[[1, 3], [2, 14], [6, 1], [14, 1]], 169/24883200], [[[1, 3], [2, 14], [6, 1], [18, 1]], 107/261273600], [[[1, 3], [2, 14], [6, 2], [10, 1]], 133439/5225472000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 263/696729600], [[[1, 3], [2, 16], [4, 1], [6, 2]], 4727/2786918400], [[[1, 3], [2, 16], [4, 1], [8, 1]], 277/10450944000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 923/2580480000], [[[1, 3], [2, 16], [4, 2], [6, 1]], 37/124416000], [[[1, 3], [2, 16], [6, 1], [10, 1]], 4499/3483648000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 203/47775744000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 107231/2341011456000], [[[1, 3], [3, 1], [5, 2], [7, 2]], 1/14700], [[[1, 3], [3, 1], [5, 3], [10, 2]], 1/3000], [[[1, 3], [3, 2], [5, 3], [7, 1]], 1/31500], [[[1, 3], [3, 2], [5, 3], [9, 1]], 1/13500], [[[1, 3], [5, 2], [7, 1], [10, 2]], 1/1400], [[[1, 4], [2, 1], [3, 2], [5, 4]], 1/20000], [[[1, 4], [2, 1], [5, 2], [7, 2]], 1/9800], [[[1, 4], [2, 1], [5, 2], [10, 3]], 1/30000], [[[1, 4], [2, 1], [5, 3], [10, 2]], 1/2000], [[[1, 4], [2, 1], [5, 4], [10, 1]], 1/30000], [[[1, 4], [2, 3], [4, 1], [5, 4]], 1/160000], [[[1, 4], [2, 3], [4, 3], [5, 3]], 1/32000], [[[1, 4], [2, 3], [4, 3], [8, 3]], 1/1024], [[[1, 4], [2, 5], [4, 2], [10, 3]], 1/16000], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/204800], [[[1, 4], [2, 5], [4, 4], [8, 2]], 5/4096], [[[1, 4], [2, 5], [4, 4], [10, 2]], 3/40960], [[[1, 4], [2, 5], [5, 1], [10, 3]], 53/384000], [[[1, 4], [2, 5], [5, 2], [10, 2]], 1451/5760000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 1/76800], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/69984], [[[1, 4], [2, 7], [3, 2], [6, 5]], 11/93312], [[[1, 4], [2, 7], [3, 3], [6, 4]], 1/15552], [[[1, 4], [2, 7], [4, 1], [6, 6]], 1/373248], [[[1, 4], [2, 7], [4, 1], [10, 3]], 13/57600], [[[1, 4], [2, 7], [4, 1], [14, 2]], 1/6272], [[[1, 4], [2, 7], [4, 2], [6, 5]], 13/746496], [[[1, 4], [2, 7], [4, 3], [5, 2]], 1/153600], [[[1, 4], [2, 7], [4, 3], [6, 4]], 5/124416], [[[1, 4], [2, 7], [4, 3], [8, 2]], 17/40960], [[[1, 4], [2, 7], [4, 3], [10, 2]], 7/25600], [[[1, 4], [2, 7], [4, 4], [6, 3]], 1/27648], [[[1, 4], [2, 7], [4, 4], [14, 1]], 1/7168], [[[1, 4], [2, 7], [6, 1], [10, 3]], 193/1152000], [[[1, 4], [2, 7], [6, 1], [14, 2]], 5/37632], [[[1, 4], [2, 7], [6, 3], [10, 2]], 907/6220800], [[[1, 4], [2, 7], [6, 4], [14, 1]], 1/20736], [[[1, 4], [2, 7], [6, 4], [18, 1]], 1/15552], [[[1, 4], [2, 7], [6, 5], [10, 1]], 1/77760], [[[1, 4], [2, 7], [10, 2], [14, 1]], 5/32256], [[[1, 4], [2, 9], [3, 1], [6, 5]], 49/279936], [[[1, 4], [2, 9], [3, 2], [6, 4]], 19/77760], [[[1, 4], [2, 9], [3, 3], [6, 3]], 1/155520], [[[1, 4], [2, 9], [4, 1], [6, 5]], 37/373248], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/2304000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 829/2985984], [[[1, 4], [2, 9], [4, 2], [8, 2]], 11/245760], [[[1, 4], [2, 9], [4, 2], [10, 2]], 2527/9216000], [[[1, 4], [2, 9], [4, 3], [6, 3]], 1339/4976640], [[[1, 4], [2, 9], [4, 3], [14, 1]], 53/645120], [[[1, 4], [2, 9], [4, 4], [6, 2]], 31/368640], [[[1, 4], [2, 9], [4, 4], [8, 1]], 7/147456], [[[1, 4], [2, 9], [4, 4], [10, 1]], 61/1474560], [[[1, 4], [2, 9], [5, 1], [10, 2]], 247/4608000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 2071/2177280000], [[[1, 4], [2, 9], [6, 2], [10, 2]], 7231/16588800], [[[1, 4], [2, 9], [6, 3], [14, 1]], 11/43008], [[[1, 4], [2, 9], [6, 3], [18, 1]], 1/6144], [[[1, 4], [2, 9], [6, 4], [10, 1]], 173/933120], [[[1, 4], [2, 11], [3, 1], [6, 4]], 16117/78382080], [[[1, 4], [2, 11], [3, 2], [4, 3]], 1/92897280], [[[1, 4], [2, 11], [3, 2], [6, 3]], 1033/17418240], [[[1, 4], [2, 11], [3, 3], [6, 2]], 1/17418240], [[[1, 4], [2, 11], [4, 1], [5, 2]], 1/96768000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 301/1244160], [[[1, 4], [2, 11], [4, 1], [10, 2]], 331/3225600], [[[1, 4], [2, 11], [4, 2], [6, 3]], 16561/52254720], [[[1, 4], [2, 11], [4, 2], [7, 1]], 23/406425600], [[[1, 4], [2, 11], [4, 2], [14, 1]], 53/967680], [[[1, 4], [2, 11], [4, 3], [5, 1]], 1/25804800], [[[1, 4], [2, 11], [4, 3], [6, 2]], 139/1161216], [[[1, 4], [2, 11], [4, 3], [8, 1]], 5261/309657600], [[[1, 4], [2, 11], [4, 3], [10, 1]], 4763/154828800], [[[1, 4], [2, 11], [4, 4], [6, 1]], 73/6881280], [[[1, 4], [2, 11], [6, 1], [10, 2]], 101809/580608000], [[[1, 4], [2, 11], [6, 2], [14, 1]], 89/483840], [[[1, 4], [2, 11], [6, 2], [18, 1]], 79/1658880], [[[1, 4], [2, 11], [6, 3], [10, 1]], 40939/149299200], [[[1, 4], [2, 11], [10, 1], [14, 1]], 29/387072], [[[1, 4], [2, 13], [3, 1], [6, 3]], 76087/1567641600], [[[1, 4], [2, 13], [3, 2], [6, 2]], 2953/1045094400], [[[1, 4], [2, 13], [4, 1], [6, 3]], 14627/139345920], [[[1, 4], [2, 13], [4, 1], [14, 1]], 3809/270950400], [[[1, 4], [2, 13], [4, 2], [6, 2]], 546977/8360755200], [[[1, 4], [2, 13], [4, 2], [8, 1]], 2491/557383680], [[[1, 4], [2, 13], [4, 2], [10, 1]], 23399/1548288000], [[[1, 4], [2, 13], [4, 3], [6, 1]], 14311/1393459200], [[[1, 4], [2, 13], [5, 1], [10, 1]], 5213/13934592000], [[[1, 4], [2, 13], [6, 1], [14, 1]], 44021/1625702400], [[[1, 4], [2, 13], [6, 1], [18, 1]], 1481/696729600], [[[1, 4], [2, 13], [6, 2], [10, 1]], 731/8601600], [[[1, 4], [2, 15], [3, 1], [6, 2]], 1231/391910400], [[[1, 4], [2, 15], [4, 1], [6, 2]], 1871/149299200], [[[1, 4], [2, 15], [4, 1], [8, 1]], 373/1393459200], [[[1, 4], [2, 15], [4, 1], [10, 1]], 8251/2786918400], [[[1, 4], [2, 15], [4, 2], [6, 1]], 32183/8360755200], [[[1, 4], [2, 15], [6, 1], [10, 1]], 293677/41803776000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 6467/125411328000], [[[1, 4], [2, 17], [4, 1], [6, 1]], 2309/4644864000], [[[1, 5], [2, 2], [3, 1], [5, 4]], 13/120000], [[[1, 5], [2, 2], [3, 3], [5, 3]], 1/14400], [[[1, 5], [2, 2], [3, 3], [7, 2]], 1/21168], [[[1, 5], [2, 2], [4, 1], [5, 4]], 9/80000], [[[1, 5], [2, 2], [5, 3], [7, 1]], 1/7000], [[[1, 5], [2, 4], [4, 2], [5, 3]], 1/16000], [[[1, 5], [2, 4], [4, 4], [5, 2]], 3/40960], [[[1, 5], [2, 4], [4, 4], [8, 2]], 5/4096], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/204800], [[[1, 5], [2, 4], [5, 1], [10, 3]], 1/76800], [[[1, 5], [2, 4], [5, 2], [10, 2]], 1451/5760000], [[[1, 5], [2, 4], [5, 3], [10, 1]], 53/384000], [[[1, 5], [2, 6], [3, 2], [6, 5]], 5/93312], [[[1, 5], [2, 6], [3, 3], [6, 4]], 37/139968], [[[1, 5], [2, 6], [3, 4], [6, 3]], 7/34992], [[[1, 5], [2, 6], [4, 1], [10, 3]], 3/128000], [[[1, 5], [2, 6], [4, 3], [5, 2]], 7/153600], [[[1, 5], [2, 6], [4, 3], [6, 4]], 1/331776], [[[1, 5], [2, 6], [4, 3], [8, 2]], 1/768], [[[1, 5], [2, 6], [4, 3], [10, 2]], 29/153600], [[[1, 5], [2, 6], [4, 4], [6, 3]], 1/110592], [[[1, 5], [2, 6], [4, 4], [14, 1]], 3/14336], [[[1, 5], [2, 6], [4, 5], [5, 1]], 1/81920], [[[1, 5], [2, 6], [4, 5], [6, 2]], 1/49152], [[[1, 5], [2, 6], [4, 5], [8, 1]], 7/16384], [[[1, 5], [2, 6], [4, 5], [10, 1]], 7/81920], [[[1, 5], [2, 6], [5, 2], [14, 1]], 1/168000], [[[1, 5], [2, 6], [6, 1], [10, 3]], 11/5760000], [[[1, 5], [2, 6], [10, 2], [14, 1]], 1/448000], [[[1, 5], [2, 8], [3, 1], [6, 5]], 29/373248], [[[1, 5], [2, 8], [3, 2], [4, 4]], 1/221184], [[[1, 5], [2, 8], [3, 2], [6, 4]], 23/62208], [[[1, 5], [2, 8], [3, 3], [6, 3]], 1/5832], [[[1, 5], [2, 8], [3, 4], [6, 2]], 1/1399680], [[[1, 5], [2, 8], [4, 1], [6, 5]], 19/746496], [[[1, 5], [2, 8], [4, 2], [5, 2]], 7/921600], [[[1, 5], [2, 8], [4, 2], [6, 4]], 43/331776], [[[1, 5], [2, 8], [4, 2], [8, 2]], 31/245760], [[[1, 5], [2, 8], [4, 2], [10, 2]], 139/368640], [[[1, 5], [2, 8], [4, 3], [6, 3]], 265/995328], [[[1, 5], [2, 8], [4, 3], [7, 1]], 1/40320], [[[1, 5], [2, 8], [4, 3], [14, 1]], 41/129024], [[[1, 5], [2, 8], [4, 4], [5, 1]], 1/61440], [[[1, 5], [2, 8], [4, 4], [6, 2]], 23/98304], [[[1, 5], [2, 8], [4, 4], [8, 1]], 91/245760], [[[1, 5], [2, 8], [4, 4], [10, 1]], 551/2457600], [[[1, 5], [2, 8], [4, 5], [6, 1]], 3/32768], [[[1, 5], [2, 8], [5, 1], [10, 2]], 497/4608000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 1/864000], [[[1, 5], [2, 8], [5, 2], [10, 1]], 1511/161280000], [[[1, 5], [2, 8], [6, 2], [10, 2]], 97/552960], [[[1, 5], [2, 8], [6, 3], [14, 1]], 13/145152], [[[1, 5], [2, 8], [6, 3], [18, 1]], 1/13824], [[[1, 5], [2, 8], [6, 4], [10, 1]], 89/1866240], [[[1, 5], [2, 10], [3, 1], [6, 4]], 767/2985984], [[[1, 5], [2, 10], [3, 2], [4, 3]], 1/3317760], [[[1, 5], [2, 10], [3, 2], [6, 3]], 1619/8709120], [[[1, 5], [2, 10], [3, 3], [4, 2]], 1/209018880], [[[1, 5], [2, 10], [3, 3], [6, 2]], 13/5225472], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1/156764160], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1/3456000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 293/1327104], [[[1, 5], [2, 10], [4, 1], [10, 2]], 1787/9216000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 79/155520], [[[1, 5], [2, 10], [4, 2], [7, 1]], 11/6773760], [[[1, 5], [2, 10], [4, 2], [14, 1]], 53/322560], [[[1, 5], [2, 10], [4, 3], [5, 1]], 1/921600], [[[1, 5], [2, 10], [4, 3], [6, 2]], 2761/6635520], [[[1, 5], [2, 10], [4, 3], [8, 1]], 559/4423680], [[[1, 5], [2, 10], [4, 3], [10, 1]], 643/3686400], [[[1, 5], [2, 10], [4, 4], [6, 1]], 79/737280], [[[1, 5], [2, 10], [5, 2], [6, 1]], 1/8640000], [[[1, 5], [2, 10], [6, 1], [10, 2]], 27703/138240000], [[[1, 5], [2, 10], [6, 2], [14, 1]], 743/3870720], [[[1, 5], [2, 10], [6, 2], [18, 1]], 107/1658880], [[[1, 5], [2, 10], [6, 3], [10, 1]], 33701/149299200], [[[1, 5], [2, 10], [10, 1], [14, 1]], 4909/48384000], [[[1, 5], [2, 12], [3, 1], [4, 3]], 23/696729600], [[[1, 5], [2, 12], [3, 1], [6, 3]], 1123/8709120], [[[1, 5], [2, 12], [3, 1], [7, 1]], 1/406425600], [[[1, 5], [2, 12], [3, 1], [9, 1]], 1/174182400], [[[1, 5], [2, 12], [3, 2], [4, 2]], 107/8360755200], [[[1, 5], [2, 12], [3, 2], [6, 2]], 877/59719680], [[[1, 5], [2, 12], [3, 3], [6, 1]], 47/6270566400], [[[1, 5], [2, 12], [4, 1], [6, 3]], 94387/418037760], [[[1, 5], [2, 12], [4, 1], [7, 1]], 23/609638400], [[[1, 5], [2, 12], [4, 1], [14, 1]], 359/7741440], [[[1, 5], [2, 12], [4, 2], [5, 1]], 107/2322432000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 44743/185794560], [[[1, 5], [2, 12], [4, 2], [8, 1]], 23503/928972800], [[[1, 5], [2, 12], [4, 2], [10, 1]], 127/1769472], [[[1, 5], [2, 12], [4, 3], [6, 1]], 133/1769472], [[[1, 5], [2, 12], [5, 1], [10, 1]], 4121/1990656000], [[[1, 5], [2, 12], [6, 1], [14, 1]], 127/2150400], [[[1, 5], [2, 12], [6, 1], [18, 1]], 1/165888], [[[1, 5], [2, 12], [6, 2], [10, 1]], 52781/348364800], [[[1, 5], [2, 14], [3, 1], [6, 2]], 15229/1045094400], [[[1, 5], [2, 14], [4, 1], [6, 2]], 119773/2388787200], [[[1, 5], [2, 14], [4, 1], [8, 1]], 85139/55738368000], [[[1, 5], [2, 14], [4, 1], [10, 1]], 385697/27869184000], [[[1, 5], [2, 14], [4, 2], [6, 1]], 547/22118400], [[[1, 5], [2, 14], [6, 1], [10, 1]], 333041/14929920000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 12319/33443020800], [[[1, 5], [2, 16], [4, 1], [6, 1]], 34999/11147673600], [[[1, 5], [3, 1], [5, 3], [7, 1]], 1/7875], [[[1, 5], [3, 1], [5, 3], [9, 1]], 1/27000], [[[1, 5], [3, 2], [5, 1], [7, 2]], 1/8820], [[[1, 5], [3, 2], [5, 2], [10, 2]], 1/7200], [[[1, 5], [3, 3], [5, 2], [7, 1]], 17/226800], [[[1, 5], [3, 3], [5, 2], [9, 1]], 1/6480], [[[1, 6], [2, 1], [3, 1], [5, 4]], 7/60000], [[[1, 6], [2, 1], [3, 3], [5, 3]], 47/324000], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/10584], [[[1, 6], [2, 1], [3, 5], [5, 2]], 1/116640], [[[1, 6], [2, 1], [4, 1], [5, 4]], 17/480000], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/10500], [[[1, 6], [2, 3], [3, 2], [5, 3]], 83/432000], [[[1, 6], [2, 3], [3, 2], [7, 2]], 1/7056], [[[1, 6], [2, 3], [3, 4], [5, 2]], 23/518400], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/108864], [[[1, 6], [2, 3], [3, 5], [9, 1]], 1/46656], [[[1, 6], [2, 3], [4, 2], [5, 3]], 1/4000], [[[1, 6], [2, 3], [4, 2], [7, 2]], 1/6272], [[[1, 6], [2, 3], [5, 1], [7, 2]], 1/7840], [[[1, 6], [2, 3], [5, 1], [10, 3]], 1/192000], [[[1, 6], [2, 3], [5, 2], [10, 2]], 49/480000], [[[1, 6], [2, 3], [5, 3], [10, 1]], 1/7680], [[[1, 6], [2, 5], [3, 1], [5, 3]], 11/5760000], [[[1, 6], [2, 5], [3, 2], [4, 5]], 1/49152], [[[1, 6], [2, 5], [3, 3], [4, 4]], 1/110592], [[[1, 6], [2, 5], [3, 3], [6, 4]], 7/34992], [[[1, 6], [2, 5], [3, 4], [4, 3]], 1/331776], [[[1, 6], [2, 5], [3, 4], [6, 3]], 37/139968], [[[1, 6], [2, 5], [3, 5], [6, 2]], 5/93312], [[[1, 6], [2, 5], [4, 1], [5, 3]], 3/128000], [[[1, 6], [2, 5], [4, 3], [5, 2]], 29/153600], [[[1, 6], [2, 5], [4, 3], [8, 2]], 1/768], [[[1, 6], [2, 5], [4, 3], [10, 2]], 7/153600], [[[1, 6], [2, 5], [4, 4], [7, 1]], 3/14336], [[[1, 6], [2, 5], [4, 5], [5, 1]], 7/81920], [[[1, 6], [2, 5], [4, 5], [8, 1]], 7/16384], [[[1, 6], [2, 5], [4, 5], [10, 1]], 1/81920], [[[1, 6], [2, 5], [5, 2], [7, 1]], 1/448000], [[[1, 6], [2, 5], [7, 1], [10, 2]], 1/168000], [[[1, 6], [2, 7], [3, 1], [4, 5]], 1/98304], [[[1, 6], [2, 7], [3, 1], [6, 5]], 1/124416], [[[1, 6], [2, 7], [3, 2], [4, 4]], 1/32768], [[[1, 6], [2, 7], [3, 2], [6, 4]], 185/746496], [[[1, 6], [2, 7], [3, 3], [4, 3]], 1/497664], [[[1, 6], [2, 7], [3, 3], [6, 3]], 49/93312], [[[1, 6], [2, 7], [3, 4], [6, 2]], 115/2239488], [[[1, 6], [2, 7], [4, 2], [5, 2]], 71/2048000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 5/663552], [[[1, 6], [2, 7], [4, 2], [8, 2]], 17/81920], [[[1, 6], [2, 7], [4, 2], [10, 2]], 763/6144000], [[[1, 6], [2, 7], [4, 3], [6, 3]], 19/331776], [[[1, 6], [2, 7], [4, 3], [7, 1]], 11/64512], [[[1, 6], [2, 7], [4, 3], [14, 1]], 17/43008], [[[1, 6], [2, 7], [4, 4], [5, 1]], 59/491520], [[[1, 6], [2, 7], [4, 4], [6, 2]], 29/221184], [[[1, 6], [2, 7], [4, 4], [8, 1]], 1/1024], [[[1, 6], [2, 7], [4, 4], [10, 1]], 49/163840], [[[1, 6], [2, 7], [4, 5], [6, 1]], 7/49152], [[[1, 6], [2, 7], [5, 1], [10, 2]], 1031/13824000], [[[1, 6], [2, 7], [5, 2], [6, 2]], 1/864000], [[[1, 6], [2, 7], [5, 2], [10, 1]], 679/23040000], [[[1, 6], [2, 7], [6, 2], [10, 2]], 13/5529600], [[[1, 6], [2, 7], [6, 3], [7, 1]], 1/544320], [[[1, 6], [2, 7], [6, 3], [14, 1]], 1/1161216], [[[1, 6], [2, 7], [6, 3], [18, 1]], 1/497664], [[[1, 6], [2, 7], [7, 1], [14, 1]], 1/35280], [[[1, 6], [2, 9], [3, 1], [4, 4]], 1/69120], [[[1, 6], [2, 9], [3, 1], [6, 4]], 131/933120], [[[1, 6], [2, 9], [3, 2], [4, 3]], 13/1658880], [[[1, 6], [2, 9], [3, 2], [6, 3]], 79/248832], [[[1, 6], [2, 9], [3, 3], [4, 2]], 1/7464960], [[[1, 6], [2, 9], [3, 3], [6, 2]], 611/26127360], [[[1, 6], [2, 9], [3, 4], [6, 1]], 1/5598720], [[[1, 6], [2, 9], [4, 1], [5, 2]], 1/384000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 55/746496], [[[1, 6], [2, 9], [4, 1], [10, 2]], 1391/9216000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 373/1244160], [[[1, 6], [2, 9], [4, 2], [7, 1]], 19/645120], [[[1, 6], [2, 9], [4, 2], [14, 1]], 307/1290240], [[[1, 6], [2, 9], [4, 3], [5, 1]], 13/460800], [[[1, 6], [2, 9], [4, 3], [6, 2]], 37/73728], [[[1, 6], [2, 9], [4, 3], [8, 1]], 203/491520], [[[1, 6], [2, 9], [4, 3], [10, 1]], 1409/3686400], [[[1, 6], [2, 9], [4, 4], [6, 1]], 361/1105920], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/864000], [[[1, 6], [2, 9], [6, 1], [10, 2]], 2527/27648000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 1/207360], [[[1, 6], [2, 9], [6, 2], [14, 1]], 151/1935360], [[[1, 6], [2, 9], [6, 2], [18, 1]], 35/995328], [[[1, 6], [2, 9], [6, 3], [10, 1]], 3499/49766400], [[[1, 6], [2, 9], [7, 1], [10, 1]], 11/2016000], [[[1, 6], [2, 9], [10, 1], [14, 1]], 181/3225600], [[[1, 6], [2, 11], [3, 1], [4, 3]], 11/11612160], [[[1, 6], [2, 11], [3, 1], [6, 3]], 701/3981312], [[[1, 6], [2, 11], [3, 1], [7, 1]], 1/14515200], [[[1, 6], [2, 11], [3, 1], [9, 1]], 1/6220800], [[[1, 6], [2, 11], [3, 2], [4, 2]], 223/597196800], [[[1, 6], [2, 11], [3, 2], [6, 2]], 15097/348364800], [[[1, 6], [2, 11], [3, 3], [4, 1]], 1/313528320], [[[1, 6], [2, 11], [3, 3], [6, 1]], 103/447897600], [[[1, 6], [2, 11], [4, 1], [6, 3]], 13801/59719680], [[[1, 6], [2, 11], [4, 1], [7, 1]], 11/10160640], [[[1, 6], [2, 11], [4, 1], [14, 1]], 341/4300800], [[[1, 6], [2, 11], [4, 2], [5, 1]], 4591/3483648000], [[[1, 6], [2, 11], [4, 2], [6, 2]], 679/1658880], [[[1, 6], [2, 11], [4, 2], [8, 1]], 8849/111476736], [[[1, 6], [2, 11], [4, 2], [10, 1]], 37639/221184000], [[[1, 6], [2, 11], [4, 3], [6, 1]], 3691/15482880], [[[1, 6], [2, 11], [5, 1], [10, 1]], 23179/3483648000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 11/25401600], [[[1, 6], [2, 11], [6, 1], [14, 1]], 2581/38707200], [[[1, 6], [2, 11], [6, 1], [18, 1]], 89/9953280], [[[1, 6], [2, 11], [6, 2], [10, 1]], 71/518400], [[[1, 6], [2, 13], [3, 1], [4, 2]], 29/1045094400], [[[1, 6], [2, 13], [3, 1], [5, 1]], 23/13063680000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 53317/1393459200], [[[1, 6], [2, 13], [3, 2], [4, 1]], 1/223948800], [[[1, 6], [2, 13], [3, 2], [6, 1]], 11/1045094400], [[[1, 6], [2, 13], [4, 1], [5, 1]], 1/62208000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 15187/139345920], [[[1, 6], [2, 13], [4, 1], [8, 1]], 285379/55738368000], [[[1, 6], [2, 13], [4, 1], [10, 1]], 113983/3096576000], [[[1, 6], [2, 13], [4, 2], [6, 1]], 38947/464486400], [[[1, 6], [2, 13], [6, 1], [10, 1]], 63191/1548288000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 66799/41803776000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 986897/83607552000], [[[1, 7], [2, 2], [3, 2], [5, 3]], 53/144000], [[[1, 7], [2, 2], [3, 2], [7, 2]], 1/3528], [[[1, 7], [2, 2], [3, 4], [5, 2]], 47/311040], [[[1, 7], [2, 2], [3, 5], [7, 1]], 11/326592], [[[1, 7], [2, 2], [3, 5], [9, 1]], 1/15552], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/174960], [[[1, 7], [2, 2], [4, 2], [5, 3]], 11/160000], [[[1, 7], [2, 2], [4, 2], [7, 2]], 1/18816], [[[1, 7], [2, 2], [5, 1], [7, 2]], 1/7840], [[[1, 7], [2, 2], [5, 1], [10, 3]], 1/1440000], [[[1, 7], [2, 2], [5, 2], [10, 2]], 1/38400], [[[1, 7], [2, 2], [5, 3], [10, 1]], 53/1440000], [[[1, 7], [2, 4], [3, 1], [5, 3]], 193/1152000], [[[1, 7], [2, 4], [3, 1], [7, 2]], 5/37632], [[[1, 7], [2, 4], [3, 3], [4, 4]], 1/27648], [[[1, 7], [2, 4], [3, 3], [5, 2]], 907/6220800], [[[1, 7], [2, 4], [3, 4], [4, 3]], 5/124416], [[[1, 7], [2, 4], [3, 4], [6, 3]], 1/15552], [[[1, 7], [2, 4], [3, 4], [7, 1]], 1/20736], [[[1, 7], [2, 4], [3, 4], [9, 1]], 1/15552], [[[1, 7], [2, 4], [3, 5], [4, 2]], 13/746496], [[[1, 7], [2, 4], [3, 5], [5, 1]], 1/77760], [[[1, 7], [2, 4], [3, 5], [6, 2]], 11/93312], [[[1, 7], [2, 4], [3, 6], [4, 1]], 1/373248], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/69984], [[[1, 7], [2, 4], [4, 1], [5, 3]], 13/57600], [[[1, 7], [2, 4], [4, 1], [7, 2]], 1/6272], [[[1, 7], [2, 4], [4, 3], [5, 2]], 7/25600], [[[1, 7], [2, 4], [4, 3], [8, 2]], 17/40960], [[[1, 7], [2, 4], [4, 3], [10, 2]], 1/153600], [[[1, 7], [2, 4], [4, 4], [7, 1]], 1/7168], [[[1, 7], [2, 4], [5, 2], [7, 1]], 5/32256], [[[1, 7], [2, 6], [3, 1], [4, 5]], 7/49152], [[[1, 7], [2, 6], [3, 2], [4, 4]], 29/221184], [[[1, 7], [2, 6], [3, 2], [5, 2]], 13/5529600], [[[1, 7], [2, 6], [3, 2], [6, 4]], 115/2239488], [[[1, 7], [2, 6], [3, 2], [10, 2]], 1/864000], [[[1, 7], [2, 6], [3, 3], [4, 3]], 19/331776], [[[1, 7], [2, 6], [3, 3], [6, 3]], 49/93312], [[[1, 7], [2, 6], [3, 3], [7, 1]], 1/1161216], [[[1, 7], [2, 6], [3, 3], [9, 1]], 1/497664], [[[1, 7], [2, 6], [3, 3], [14, 1]], 1/544320], [[[1, 7], [2, 6], [3, 4], [4, 2]], 5/663552], [[[1, 7], [2, 6], [3, 4], [6, 2]], 185/746496], [[[1, 7], [2, 6], [3, 5], [6, 1]], 1/124416], [[[1, 7], [2, 6], [4, 2], [5, 2]], 763/6144000], [[[1, 7], [2, 6], [4, 2], [8, 2]], 17/81920], [[[1, 7], [2, 6], [4, 2], [10, 2]], 71/2048000], [[[1, 7], [2, 6], [4, 3], [6, 3]], 1/497664], [[[1, 7], [2, 6], [4, 3], [7, 1]], 17/43008], [[[1, 7], [2, 6], [4, 3], [14, 1]], 11/64512], [[[1, 7], [2, 6], [4, 4], [5, 1]], 49/163840], [[[1, 7], [2, 6], [4, 4], [6, 2]], 1/32768], [[[1, 7], [2, 6], [4, 4], [8, 1]], 1/1024], [[[1, 7], [2, 6], [4, 4], [10, 1]], 59/491520], [[[1, 7], [2, 6], [4, 5], [6, 1]], 1/98304], [[[1, 7], [2, 6], [5, 1], [10, 2]], 679/23040000], [[[1, 7], [2, 6], [5, 2], [10, 1]], 1031/13824000], [[[1, 7], [2, 6], [7, 1], [14, 1]], 1/35280], [[[1, 7], [2, 8], [3, 1], [4, 4]], 209/1769472], [[[1, 7], [2, 8], [3, 1], [6, 4]], 401/14929920], [[[1, 7], [2, 8], [3, 2], [4, 3]], 83/1658880], [[[1, 7], [2, 8], [3, 2], [6, 3]], 3283/11197440], [[[1, 7], [2, 8], [3, 2], [14, 1]], 1/290304], [[[1, 7], [2, 8], [3, 3], [4, 2]], 7/2985984], [[[1, 7], [2, 8], [3, 3], [6, 2]], 2831/22394880], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1/2332800], [[[1, 7], [2, 8], [3, 4], [6, 1]], 1/746496], [[[1, 7], [2, 8], [4, 1], [5, 2]], 11/1536000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 11/3981312], [[[1, 7], [2, 8], [4, 1], [10, 2]], 7/256000], [[[1, 7], [2, 8], [4, 2], [6, 3]], 95/1990656], [[[1, 7], [2, 8], [4, 2], [7, 1]], 1/6912], [[[1, 7], [2, 8], [4, 2], [14, 1]], 71/322560], [[[1, 7], [2, 8], [4, 3], [5, 1]], 733/4423680], [[[1, 7], [2, 8], [4, 3], [6, 2]], 2737/13271040], [[[1, 7], [2, 8], [4, 3], [8, 1]], 2977/4423680], [[[1, 7], [2, 8], [4, 3], [10, 1]], 851/2457600], [[[1, 7], [2, 8], [4, 4], [6, 1]], 25/73728], [[[1, 7], [2, 8], [5, 1], [6, 3]], 1/777600], [[[1, 7], [2, 8], [5, 1], [14, 1]], 1/80640], [[[1, 7], [2, 8], [5, 2], [6, 1]], 1/576000], [[[1, 7], [2, 8], [6, 1], [10, 2]], 101/27648000], [[[1, 7], [2, 8], [6, 2], [7, 1]], 1/103680], [[[1, 7], [2, 8], [6, 2], [14, 1]], 11/3870720], [[[1, 7], [2, 8], [6, 2], [18, 1]], 1/331776], [[[1, 7], [2, 8], [6, 3], [10, 1]], 19/16588800], [[[1, 7], [2, 8], [7, 1], [10, 1]], 13/604800], [[[1, 7], [2, 8], [10, 1], [14, 1]], 1/358400], [[[1, 7], [2, 10], [3, 1], [4, 3]], 11/552960], [[[1, 7], [2, 10], [3, 1], [6, 3]], 2413/19906560], [[[1, 7], [2, 10], [3, 1], [7, 1]], 1/1935360], [[[1, 7], [2, 10], [3, 1], [9, 1]], 1/829440], [[[1, 7], [2, 10], [3, 2], [4, 2]], 407/79626240], [[[1, 7], [2, 10], [3, 2], [6, 2]], 18881/209018880], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1/1728000], [[[1, 7], [2, 10], [3, 3], [4, 1]], 1/11197440], [[[1, 7], [2, 10], [3, 3], [6, 1]], 1937/895795200], [[[1, 7], [2, 10], [4, 1], [6, 3]], 1165/11943936], [[[1, 7], [2, 10], [4, 1], [7, 1]], 149/14515200], [[[1, 7], [2, 10], [4, 1], [14, 1]], 523/7741440], [[[1, 7], [2, 10], [4, 2], [5, 1]], 13661/774144000], [[[1, 7], [2, 10], [4, 2], [6, 2]], 2779/8847360], [[[1, 7], [2, 10], [4, 2], [8, 1]], 131657/928972800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 15613/73728000], [[[1, 7], [2, 10], [4, 3], [6, 1]], 65629/185794560], [[[1, 7], [2, 10], [5, 1], [6, 2]], 1/518400], [[[1, 7], [2, 10], [5, 1], [10, 1]], 339991/26127360000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 17/3628800], [[[1, 7], [2, 10], [6, 1], [14, 1]], 25/774144], [[[1, 7], [2, 10], [6, 1], [18, 1]], 1/165888], [[[1, 7], [2, 10], [6, 2], [10, 1]], 847/16588800], [[[1, 7], [2, 12], [3, 1], [4, 2]], 3361/4180377600], [[[1, 7], [2, 12], [3, 1], [5, 1]], 1/19353600], [[[1, 7], [2, 12], [3, 1], [6, 2]], 1139/19906560], [[[1, 7], [2, 12], [3, 2], [4, 1]], 121/895795200], [[[1, 7], [2, 12], [3, 2], [6, 1]], 1111/3135283200], [[[1, 7], [2, 12], [4, 1], [5, 1]], 2449/5225472000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 9883/79626240], [[[1, 7], [2, 12], [4, 1], [8, 1]], 29101/2786918400], [[[1, 7], [2, 12], [4, 1], [10, 1]], 12019/221184000], [[[1, 7], [2, 12], [4, 2], [6, 1]], 35249/232243200], [[[1, 7], [2, 12], [5, 1], [6, 1]], 23/145152000], [[[1, 7], [2, 12], [6, 1], [10, 1]], 6703/165888000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 1/165888000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 707191/167215104000], [[[1, 7], [2, 14], [4, 1], [6, 1]], 291407/11147673600], [[[1, 7], [3, 1], [5, 1], [7, 2]], 11/176400], [[[1, 7], [3, 1], [5, 2], [10, 2]], 1/72000], [[[1, 7], [3, 2], [5, 2], [7, 1]], 251/1512000], [[[1, 7], [3, 2], [5, 2], [9, 1]], 23/324000], [[[1, 7], [3, 3], [7, 1], [9, 1]], 1/9072], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/17010], [[[1, 7], [3, 4], [5, 1], [9, 1]], 1/9720], [[[1, 8], [2, 1], [3, 2], [5, 3]], 443/2160000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 1/5880], [[[1, 8], [2, 1], [3, 4], [5, 2]], 679/4665600], [[[1, 8], [2, 1], [3, 5], [7, 1]], 13/326592], [[[1, 8], [2, 1], [3, 5], [9, 1]], 1/15552], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/87480], [[[1, 8], [2, 1], [5, 1], [7, 2]], 13/352800], [[[1, 8], [2, 1], [5, 1], [10, 3]], 1/40320000], [[[1, 8], [2, 1], [5, 2], [10, 2]], 1/288000], [[[1, 8], [2, 1], [5, 3], [10, 1]], 113/40320000], [[[1, 8], [2, 3], [3, 1], [5, 3]], 503/1728000], [[[1, 8], [2, 3], [3, 1], [7, 2]], 1/4032], [[[1, 8], [2, 3], [3, 3], [5, 2]], 643/1555200], [[[1, 8], [2, 3], [3, 4], [4, 3]], 5/110592], [[[1, 8], [2, 3], [3, 4], [7, 1]], 17/108864], [[[1, 8], [2, 3], [3, 4], [9, 1]], 1/5832], [[[1, 8], [2, 3], [3, 5], [4, 2]], 1/20736], [[[1, 8], [2, 3], [3, 5], [5, 1]], 31/466560], [[[1, 8], [2, 3], [3, 5], [6, 2]], 1/10368], [[[1, 8], [2, 3], [3, 6], [4, 1]], 17/1119744], [[[1, 8], [2, 3], [3, 6], [6, 1]], 1/23328], [[[1, 8], [2, 3], [4, 1], [5, 3]], 191/960000], [[[1, 8], [2, 3], [4, 1], [7, 2]], 1/6272], [[[1, 8], [2, 3], [4, 3], [5, 2]], 139/2304000], [[[1, 8], [2, 3], [4, 3], [8, 2]], 19/368640], [[[1, 8], [2, 3], [5, 2], [7, 1]], 9/44800], [[[1, 8], [2, 5], [3, 1], [4, 5]], 3/32768], [[[1, 8], [2, 5], [3, 2], [4, 4]], 23/98304], [[[1, 8], [2, 5], [3, 2], [5, 2]], 97/552960], [[[1, 8], [2, 5], [3, 2], [6, 4]], 1/1399680], [[[1, 8], [2, 5], [3, 2], [10, 2]], 1/864000], [[[1, 8], [2, 5], [3, 3], [4, 3]], 265/995328], [[[1, 8], [2, 5], [3, 3], [6, 3]], 1/5832], [[[1, 8], [2, 5], [3, 3], [7, 1]], 13/145152], [[[1, 8], [2, 5], [3, 3], [9, 1]], 1/13824], [[[1, 8], [2, 5], [3, 4], [4, 2]], 43/331776], [[[1, 8], [2, 5], [3, 4], [5, 1]], 89/1866240], [[[1, 8], [2, 5], [3, 4], [6, 2]], 23/62208], [[[1, 8], [2, 5], [3, 5], [4, 1]], 19/746496], [[[1, 8], [2, 5], [3, 5], [6, 1]], 29/373248], [[[1, 8], [2, 5], [4, 2], [5, 2]], 139/368640], [[[1, 8], [2, 5], [4, 2], [8, 2]], 31/245760], [[[1, 8], [2, 5], [4, 2], [10, 2]], 7/921600], [[[1, 8], [2, 5], [4, 3], [7, 1]], 41/129024], [[[1, 8], [2, 5], [4, 3], [14, 1]], 1/40320], [[[1, 8], [2, 5], [4, 4], [5, 1]], 551/2457600], [[[1, 8], [2, 5], [4, 4], [6, 2]], 1/221184], [[[1, 8], [2, 5], [4, 4], [8, 1]], 91/245760], [[[1, 8], [2, 5], [4, 4], [10, 1]], 1/61440], [[[1, 8], [2, 5], [5, 1], [10, 2]], 1511/161280000], [[[1, 8], [2, 5], [5, 2], [10, 1]], 497/4608000], [[[1, 8], [2, 7], [3, 1], [4, 4]], 25/73728], [[[1, 8], [2, 7], [3, 1], [5, 2]], 101/27648000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 1/746496], [[[1, 8], [2, 7], [3, 1], [10, 2]], 1/576000], [[[1, 8], [2, 7], [3, 2], [4, 3]], 2737/13271040], [[[1, 8], [2, 7], [3, 2], [6, 3]], 2831/22394880], [[[1, 8], [2, 7], [3, 2], [7, 1]], 11/3870720], [[[1, 8], [2, 7], [3, 2], [9, 1]], 1/331776], [[[1, 8], [2, 7], [3, 2], [14, 1]], 1/103680], [[[1, 8], [2, 7], [3, 3], [4, 2]], 95/1990656], [[[1, 8], [2, 7], [3, 3], [5, 1]], 19/16588800], [[[1, 8], [2, 7], [3, 3], [6, 2]], 3283/11197440], [[[1, 8], [2, 7], [3, 3], [10, 1]], 1/777600], [[[1, 8], [2, 7], [3, 4], [4, 1]], 11/3981312], [[[1, 8], [2, 7], [3, 4], [6, 1]], 401/14929920], [[[1, 8], [2, 7], [4, 1], [5, 2]], 7/256000], [[[1, 8], [2, 7], [4, 1], [10, 2]], 11/1536000], [[[1, 8], [2, 7], [4, 2], [6, 3]], 7/2985984], [[[1, 8], [2, 7], [4, 2], [7, 1]], 71/322560], [[[1, 8], [2, 7], [4, 2], [14, 1]], 1/6912], [[[1, 8], [2, 7], [4, 3], [5, 1]], 851/2457600], [[[1, 8], [2, 7], [4, 3], [6, 2]], 83/1658880], [[[1, 8], [2, 7], [4, 3], [8, 1]], 2977/4423680], [[[1, 8], [2, 7], [4, 3], [10, 1]], 733/4423680], [[[1, 8], [2, 7], [4, 4], [6, 1]], 209/1769472], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1/2332800], [[[1, 8], [2, 7], [5, 1], [7, 1]], 1/358400], [[[1, 8], [2, 7], [5, 1], [14, 1]], 13/604800], [[[1, 8], [2, 7], [6, 2], [7, 1]], 1/290304], [[[1, 8], [2, 7], [7, 1], [10, 1]], 1/80640], [[[1, 8], [2, 9], [3, 1], [4, 3]], 629/5308416], [[[1, 8], [2, 9], [3, 1], [6, 3]], 2513/59719680], [[[1, 8], [2, 9], [3, 1], [7, 1]], 1/967680], [[[1, 8], [2, 9], [3, 1], [9, 1]], 1/414720], [[[1, 8], [2, 9], [3, 1], [14, 1]], 1/241920], [[[1, 8], [2, 9], [3, 2], [4, 2]], 2153/79626240], [[[1, 8], [2, 9], [3, 2], [6, 2]], 289907/2090188800], [[[1, 8], [2, 9], [3, 2], [10, 1]], 1/288000], [[[1, 8], [2, 9], [3, 3], [4, 1]], 1/1244160], [[[1, 8], [2, 9], [3, 3], [6, 1]], 3509/358318080], [[[1, 8], [2, 9], [4, 1], [6, 3]], 641/59719680], [[[1, 8], [2, 9], [4, 1], [7, 1]], 31/967680], [[[1, 8], [2, 9], [4, 1], [14, 1]], 313/7741440], [[[1, 8], [2, 9], [4, 2], [5, 1]], 54139/663552000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 2101/19906560], [[[1, 8], [2, 9], [4, 2], [8, 1]], 5033/33177600], [[[1, 8], [2, 9], [4, 2], [10, 1]], 2299/14745600], [[[1, 8], [2, 9], [4, 3], [6, 1]], 17957/66355200], [[[1, 8], [2, 9], [5, 1], [6, 2]], 17/3110400], [[[1, 8], [2, 9], [5, 1], [10, 1]], 27141557/1463132160000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 1/103680], [[[1, 8], [2, 9], [6, 1], [14, 1]], 19/6193152], [[[1, 8], [2, 9], [6, 1], [18, 1]], 23/13271040], [[[1, 8], [2, 9], [6, 2], [10, 1]], 167/66355200], [[[1, 8], [2, 11], [3, 1], [4, 2]], 48677/5225472000], [[[1, 8], [2, 11], [3, 1], [5, 1]], 1/2304000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 323/6451200], [[[1, 8], [2, 11], [3, 1], [10, 1]], 13/20736000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 827/597196800], [[[1, 8], [2, 11], [3, 2], [6, 1]], 3577/1119744000], [[[1, 8], [2, 11], [4, 1], [5, 1]], 347/77414400], [[[1, 8], [2, 11], [4, 1], [6, 2]], 1357/19906560], [[[1, 8], [2, 11], [4, 1], [8, 1]], 539933/41803776000], [[[1, 8], [2, 11], [4, 1], [10, 1]], 9757/221184000], [[[1, 8], [2, 11], [4, 2], [6, 1]], 59311/398131200], [[[1, 8], [2, 11], [5, 1], [6, 1]], 1/544320], [[[1, 8], [2, 11], [6, 1], [10, 1]], 24283/1327104000], [[[1, 8], [2, 13], [3, 1], [4, 1]], 1117/6270566400], [[[1, 8], [2, 13], [3, 1], [6, 1]], 28957/4180377600], [[[1, 8], [2, 13], [4, 1], [6, 1]], 92359/2786918400], [[[1, 9], [2, 2], [3, 1], [5, 3]], 487/2880000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 43/282240], [[[1, 9], [2, 2], [3, 3], [5, 2]], 1207/3110400], [[[1, 9], [2, 2], [3, 4], [7, 1]], 283/1632960], [[[1, 9], [2, 2], [3, 4], [9, 1]], 1/6480], [[[1, 9], [2, 2], [3, 5], [4, 2]], 23/746496], [[[1, 9], [2, 2], [3, 5], [5, 1]], 47/466560], [[[1, 9], [2, 2], [3, 5], [6, 2]], 1/31104], [[[1, 9], [2, 2], [3, 6], [4, 1]], 25/1119744], [[[1, 9], [2, 2], [3, 6], [6, 1]], 1/23328], [[[1, 9], [2, 2], [4, 1], [5, 3]], 77/1440000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 13/282240], [[[1, 9], [2, 2], [5, 2], [7, 1]], 181/2016000], [[[1, 9], [2, 4], [3, 2], [4, 4]], 31/368640], [[[1, 9], [2, 4], [3, 2], [5, 2]], 7231/16588800], [[[1, 9], [2, 4], [3, 3], [4, 3]], 1339/4976640], [[[1, 9], [2, 4], [3, 3], [6, 3]], 1/155520], [[[1, 9], [2, 4], [3, 3], [7, 1]], 11/43008], [[[1, 9], [2, 4], [3, 3], [9, 1]], 1/6144], [[[1, 9], [2, 4], [3, 4], [4, 2]], 829/2985984], [[[1, 9], [2, 4], [3, 4], [5, 1]], 173/933120], [[[1, 9], [2, 4], [3, 4], [6, 2]], 19/77760], [[[1, 9], [2, 4], [3, 5], [4, 1]], 37/373248], [[[1, 9], [2, 4], [3, 5], [6, 1]], 49/279936], [[[1, 9], [2, 4], [4, 2], [5, 2]], 2527/9216000], [[[1, 9], [2, 4], [4, 2], [8, 2]], 11/245760], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/2304000], [[[1, 9], [2, 4], [4, 3], [7, 1]], 53/645120], [[[1, 9], [2, 4], [4, 4], [5, 1]], 61/1474560], [[[1, 9], [2, 4], [4, 4], [8, 1]], 7/147456], [[[1, 9], [2, 4], [5, 1], [10, 2]], 2071/2177280000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 247/4608000], [[[1, 9], [2, 6], [3, 1], [4, 4]], 361/1105920], [[[1, 9], [2, 6], [3, 1], [5, 2]], 2527/27648000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 1/5598720], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/864000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 37/73728], [[[1, 9], [2, 6], [3, 2], [6, 3]], 611/26127360], [[[1, 9], [2, 6], [3, 2], [7, 1]], 151/1935360], [[[1, 9], [2, 6], [3, 2], [9, 1]], 35/995328], [[[1, 9], [2, 6], [3, 2], [14, 1]], 1/207360], [[[1, 9], [2, 6], [3, 3], [4, 2]], 373/1244160], [[[1, 9], [2, 6], [3, 3], [5, 1]], 3499/49766400], [[[1, 9], [2, 6], [3, 3], [6, 2]], 79/248832], [[[1, 9], [2, 6], [3, 4], [4, 1]], 55/746496], [[[1, 9], [2, 6], [3, 4], [6, 1]], 131/933120], [[[1, 9], [2, 6], [4, 1], [5, 2]], 1391/9216000], [[[1, 9], [2, 6], [4, 1], [10, 2]], 1/384000], [[[1, 9], [2, 6], [4, 2], [6, 3]], 1/7464960], [[[1, 9], [2, 6], [4, 2], [7, 1]], 307/1290240], [[[1, 9], [2, 6], [4, 2], [14, 1]], 19/645120], [[[1, 9], [2, 6], [4, 3], [5, 1]], 1409/3686400], [[[1, 9], [2, 6], [4, 3], [6, 2]], 13/1658880], [[[1, 9], [2, 6], [4, 3], [8, 1]], 203/491520], [[[1, 9], [2, 6], [4, 3], [10, 1]], 13/460800], [[[1, 9], [2, 6], [4, 4], [6, 1]], 1/69120], [[[1, 9], [2, 6], [5, 1], [7, 1]], 181/3225600], [[[1, 9], [2, 6], [5, 1], [14, 1]], 11/2016000], [[[1, 9], [2, 8], [3, 1], [4, 3]], 17957/66355200], [[[1, 9], [2, 8], [3, 1], [6, 3]], 3509/358318080], [[[1, 9], [2, 8], [3, 1], [7, 1]], 19/6193152], [[[1, 9], [2, 8], [3, 1], [9, 1]], 23/13271040], [[[1, 9], [2, 8], [3, 1], [14, 1]], 1/103680], [[[1, 9], [2, 8], [3, 2], [4, 2]], 2101/19906560], [[[1, 9], [2, 8], [3, 2], [5, 1]], 167/66355200], [[[1, 9], [2, 8], [3, 2], [6, 2]], 289907/2090188800], [[[1, 9], [2, 8], [3, 2], [10, 1]], 17/3110400], [[[1, 9], [2, 8], [3, 3], [4, 1]], 641/59719680], [[[1, 9], [2, 8], [3, 3], [6, 1]], 2513/59719680], [[[1, 9], [2, 8], [4, 1], [6, 3]], 1/1244160], [[[1, 9], [2, 8], [4, 1], [7, 1]], 313/7741440], [[[1, 9], [2, 8], [4, 1], [14, 1]], 31/967680], [[[1, 9], [2, 8], [4, 2], [5, 1]], 2299/14745600], [[[1, 9], [2, 8], [4, 2], [6, 2]], 2153/79626240], [[[1, 9], [2, 8], [4, 2], [8, 1]], 5033/33177600], [[[1, 9], [2, 8], [4, 2], [10, 1]], 54139/663552000], [[[1, 9], [2, 8], [4, 3], [6, 1]], 629/5308416], [[[1, 9], [2, 8], [5, 1], [6, 2]], 1/288000], [[[1, 9], [2, 8], [5, 1], [10, 1]], 27141557/1463132160000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 1/241920], [[[1, 9], [2, 8], [6, 1], [14, 1]], 1/967680], [[[1, 9], [2, 8], [6, 1], [18, 1]], 1/414720], [[[1, 9], [2, 10], [3, 1], [4, 2]], 107473/2601123840], [[[1, 9], [2, 10], [3, 1], [5, 1]], 323/265420800], [[[1, 9], [2, 10], [3, 1], [6, 2]], 119197/4180377600], [[[1, 9], [2, 10], [3, 1], [10, 1]], 1/288000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 1681/298598400], [[[1, 9], [2, 10], [3, 2], [6, 1]], 701033/58525286400], [[[1, 9], [2, 10], [4, 1], [5, 1]], 40573/2654208000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 5821/318504960], [[[1, 9], [2, 10], [4, 1], [8, 1]], 1470541/146313216000], [[[1, 9], [2, 10], [4, 1], [10, 1]], 67531/2654208000], [[[1, 9], [2, 10], [4, 2], [6, 1]], 41947/464486400], [[[1, 9], [2, 10], [5, 1], [6, 1]], 3/640000], [[[1, 9], [2, 10], [6, 1], [10, 1]], 43/14745600], [[[1, 9], [2, 12], [3, 1], [4, 1]], 3323/1959552000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 7804553/1003290624000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 106787/4459069440], [[[1, 9], [3, 1], [5, 2], [7, 1]], 2249/84672000], [[[1, 9], [3, 1], [5, 2], [9, 1]], 113/36288000], [[[1, 9], [3, 2], [7, 1], [9, 1]], 1/90720], [[[1, 9], [3, 3], [5, 1], [7, 1]], 53/680400], [[[1, 9], [3, 3], [5, 1], [9, 1]], 1/25920], [[[1, 10], [2, 1], [3, 1], [5, 3]], 4547/120960000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 1/28224], [[[1, 10], [2, 1], [3, 3], [5, 2]], 22961/163296000], [[[1, 10], [2, 1], [3, 4], [7, 1]], 61/816480], [[[1, 10], [2, 1], [3, 4], [9, 1]], 1/19440], [[[1, 10], [2, 1], [3, 5], [5, 1]], 1/17280], [[[1, 10], [2, 1], [3, 6], [4, 1]], 11/1119744], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/69984], [[[1, 10], [2, 1], [4, 1], [5, 3]], 479/120960000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 1/282240], [[[1, 10], [2, 1], [5, 2], [7, 1]], 1333/84672000], [[[1, 10], [2, 3], [3, 2], [5, 2]], 8183/20736000], [[[1, 10], [2, 3], [3, 3], [4, 3]], 103/1658880], [[[1, 10], [2, 3], [3, 3], [7, 1]], 1/3780], [[[1, 10], [2, 3], [3, 3], [9, 1]], 41/311040], [[[1, 10], [2, 3], [3, 4], [4, 2]], 899/4976640], [[[1, 10], [2, 3], [3, 4], [5, 1]], 43/172800], [[[1, 10], [2, 3], [3, 4], [6, 2]], 31/414720], [[[1, 10], [2, 3], [3, 5], [4, 1]], 77/622080], [[[1, 10], [2, 3], [3, 5], [6, 1]], 1/6480], [[[1, 10], [2, 3], [4, 2], [5, 2]], 2819/43008000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 33/5734400], [[[1, 10], [2, 3], [4, 2], [10, 2]], 1/64512000], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1/129024], [[[1, 10], [2, 3], [5, 1], [10, 2]], 47/1451520000], [[[1, 10], [2, 3], [5, 2], [10, 1]], 233/19353600], [[[1, 10], [2, 5], [3, 1], [4, 4]], 79/737280], [[[1, 10], [2, 5], [3, 1], [5, 2]], 27703/138240000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1/156764160], [[[1, 10], [2, 5], [3, 1], [10, 2]], 1/8640000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 2761/6635520], [[[1, 10], [2, 5], [3, 2], [6, 3]], 13/5225472], [[[1, 10], [2, 5], [3, 2], [7, 1]], 743/3870720], [[[1, 10], [2, 5], [3, 2], [9, 1]], 107/1658880], [[[1, 10], [2, 5], [3, 3], [4, 2]], 79/155520], [[[1, 10], [2, 5], [3, 3], [5, 1]], 33701/149299200], [[[1, 10], [2, 5], [3, 3], [6, 2]], 1619/8709120], [[[1, 10], [2, 5], [3, 4], [4, 1]], 293/1327104], [[[1, 10], [2, 5], [3, 4], [6, 1]], 767/2985984], [[[1, 10], [2, 5], [4, 1], [5, 2]], 1787/9216000], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1/3456000], [[[1, 10], [2, 5], [4, 2], [6, 3]], 1/209018880], [[[1, 10], [2, 5], [4, 2], [7, 1]], 53/322560], [[[1, 10], [2, 5], [4, 2], [14, 1]], 11/6773760], [[[1, 10], [2, 5], [4, 3], [5, 1]], 643/3686400], [[[1, 10], [2, 5], [4, 3], [6, 2]], 1/3317760], [[[1, 10], [2, 5], [4, 3], [8, 1]], 559/4423680], [[[1, 10], [2, 5], [4, 3], [10, 1]], 1/921600], [[[1, 10], [2, 5], [5, 1], [7, 1]], 4909/48384000], [[[1, 10], [2, 7], [3, 1], [4, 3]], 65629/185794560], [[[1, 10], [2, 7], [3, 1], [6, 3]], 1937/895795200], [[[1, 10], [2, 7], [3, 1], [7, 1]], 25/774144], [[[1, 10], [2, 7], [3, 1], [9, 1]], 1/165888], [[[1, 10], [2, 7], [3, 1], [14, 1]], 17/3628800], [[[1, 10], [2, 7], [3, 2], [4, 2]], 2779/8847360], [[[1, 10], [2, 7], [3, 2], [5, 1]], 847/16588800], [[[1, 10], [2, 7], [3, 2], [6, 2]], 18881/209018880], [[[1, 10], [2, 7], [3, 2], [10, 1]], 1/518400], [[[1, 10], [2, 7], [3, 3], [4, 1]], 1165/11943936], [[[1, 10], [2, 7], [3, 3], [6, 1]], 2413/19906560], [[[1, 10], [2, 7], [4, 1], [6, 3]], 1/11197440], [[[1, 10], [2, 7], [4, 1], [7, 1]], 523/7741440], [[[1, 10], [2, 7], [4, 1], [14, 1]], 149/14515200], [[[1, 10], [2, 7], [4, 2], [5, 1]], 15613/73728000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 407/79626240], [[[1, 10], [2, 7], [4, 2], [8, 1]], 131657/928972800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 13661/774144000], [[[1, 10], [2, 7], [4, 3], [6, 1]], 11/552960], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1/1728000], [[[1, 10], [2, 7], [5, 1], [10, 1]], 339991/26127360000], [[[1, 10], [2, 7], [6, 1], [14, 1]], 1/1935360], [[[1, 10], [2, 7], [6, 1], [18, 1]], 1/829440], [[[1, 10], [2, 9], [3, 1], [4, 2]], 41947/464486400], [[[1, 10], [2, 9], [3, 1], [5, 1]], 43/14745600], [[[1, 10], [2, 9], [3, 1], [6, 2]], 701033/58525286400], [[[1, 10], [2, 9], [3, 1], [10, 1]], 3/640000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 5821/318504960], [[[1, 10], [2, 9], [3, 2], [6, 1]], 119197/4180377600], [[[1, 10], [2, 9], [4, 1], [5, 1]], 67531/2654208000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 1681/298598400], [[[1, 10], [2, 9], [4, 1], [8, 1]], 1470541/146313216000], [[[1, 10], [2, 9], [4, 1], [10, 1]], 40573/2654208000], [[[1, 10], [2, 9], [4, 2], [6, 1]], 107473/2601123840], [[[1, 10], [2, 9], [5, 1], [6, 1]], 1/288000], [[[1, 10], [2, 9], [6, 1], [10, 1]], 323/265420800], [[[1, 10], [2, 11], [3, 1], [4, 1]], 2859943/468202291200], [[[1, 10], [2, 11], [3, 1], [6, 1]], 53579303/7023034368000], [[[1, 10], [2, 11], [4, 1], [6, 1]], 2045791/167215104000], [[[1, 11], [2, 2], [3, 2], [5, 2]], 13181/82944000], [[[1, 11], [2, 2], [3, 3], [7, 1]], 43469/365783040], [[[1, 11], [2, 2], [3, 3], [9, 1]], 263/5806080], [[[1, 11], [2, 2], [3, 4], [4, 2]], 893/29859840], [[[1, 11], [2, 2], [3, 4], [5, 1]], 59/408240], [[[1, 11], [2, 2], [3, 4], [6, 2]], 1/138240], [[[1, 11], [2, 2], [3, 5], [4, 1]], 107/1866240], [[[1, 11], [2, 2], [3, 5], [6, 1]], 101/1866240], [[[1, 11], [2, 2], [4, 2], [5, 2]], 26393/5806080000], [[[1, 11], [2, 2], [4, 2], [8, 2]], 109/464486400], [[[1, 11], [2, 2], [5, 2], [10, 1]], 341/241920000], [[[1, 11], [2, 4], [3, 1], [4, 4]], 73/6881280], [[[1, 11], [2, 4], [3, 1], [5, 2]], 101809/580608000], [[[1, 11], [2, 4], [3, 2], [4, 3]], 139/1161216], [[[1, 11], [2, 4], [3, 2], [6, 3]], 1/17418240], [[[1, 11], [2, 4], [3, 2], [7, 1]], 89/483840], [[[1, 11], [2, 4], [3, 2], [9, 1]], 79/1658880], [[[1, 11], [2, 4], [3, 3], [4, 2]], 16561/52254720], [[[1, 11], [2, 4], [3, 3], [5, 1]], 40939/149299200], [[[1, 11], [2, 4], [3, 3], [6, 2]], 1033/17418240], [[[1, 11], [2, 4], [3, 4], [4, 1]], 301/1244160], [[[1, 11], [2, 4], [3, 4], [6, 1]], 16117/78382080], [[[1, 11], [2, 4], [4, 1], [5, 2]], 331/3225600], [[[1, 11], [2, 4], [4, 1], [10, 2]], 1/96768000], [[[1, 11], [2, 4], [4, 2], [7, 1]], 53/967680], [[[1, 11], [2, 4], [4, 2], [14, 1]], 23/406425600], [[[1, 11], [2, 4], [4, 3], [5, 1]], 4763/154828800], [[[1, 11], [2, 4], [4, 3], [6, 2]], 1/92897280], [[[1, 11], [2, 4], [4, 3], [8, 1]], 5261/309657600], [[[1, 11], [2, 4], [4, 3], [10, 1]], 1/25804800], [[[1, 11], [2, 4], [5, 1], [7, 1]], 29/387072], [[[1, 11], [2, 6], [3, 1], [4, 3]], 3691/15482880], [[[1, 11], [2, 6], [3, 1], [6, 3]], 103/447897600], [[[1, 11], [2, 6], [3, 1], [7, 1]], 2581/38707200], [[[1, 11], [2, 6], [3, 1], [9, 1]], 89/9953280], [[[1, 11], [2, 6], [3, 1], [14, 1]], 11/25401600], [[[1, 11], [2, 6], [3, 2], [4, 2]], 679/1658880], [[[1, 11], [2, 6], [3, 2], [5, 1]], 71/518400], [[[1, 11], [2, 6], [3, 2], [6, 2]], 15097/348364800], [[[1, 11], [2, 6], [3, 3], [4, 1]], 13801/59719680], [[[1, 11], [2, 6], [3, 3], [6, 1]], 701/3981312], [[[1, 11], [2, 6], [4, 1], [6, 3]], 1/313528320], [[[1, 11], [2, 6], [4, 1], [7, 1]], 341/4300800], [[[1, 11], [2, 6], [4, 1], [14, 1]], 11/10160640], [[[1, 11], [2, 6], [4, 2], [5, 1]], 37639/221184000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 223/597196800], [[[1, 11], [2, 6], [4, 2], [8, 1]], 8849/111476736], [[[1, 11], [2, 6], [4, 2], [10, 1]], 4591/3483648000], [[[1, 11], [2, 6], [4, 3], [6, 1]], 11/11612160], [[[1, 11], [2, 6], [5, 1], [10, 1]], 23179/3483648000], [[[1, 11], [2, 6], [6, 1], [14, 1]], 1/14515200], [[[1, 11], [2, 6], [6, 1], [18, 1]], 1/6220800], [[[1, 11], [2, 8], [3, 1], [4, 2]], 59311/398131200], [[[1, 11], [2, 8], [3, 1], [5, 1]], 24283/1327104000], [[[1, 11], [2, 8], [3, 1], [6, 2]], 3577/1119744000], [[[1, 11], [2, 8], [3, 1], [10, 1]], 1/544320], [[[1, 11], [2, 8], [3, 2], [4, 1]], 1357/19906560], [[[1, 11], [2, 8], [3, 2], [6, 1]], 323/6451200], [[[1, 11], [2, 8], [4, 1], [5, 1]], 9757/221184000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 827/597196800], [[[1, 11], [2, 8], [4, 1], [8, 1]], 539933/41803776000], [[[1, 11], [2, 8], [4, 1], [10, 1]], 347/77414400], [[[1, 11], [2, 8], [4, 2], [6, 1]], 48677/5225472000], [[[1, 11], [2, 8], [5, 1], [6, 1]], 13/20736000], [[[1, 11], [2, 8], [6, 1], [10, 1]], 1/2304000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 2045791/167215104000], [[[1, 11], [2, 10], [3, 1], [6, 1]], 53579303/7023034368000], [[[1, 11], [2, 10], [4, 1], [6, 1]], 2859943/468202291200], [[[1, 11], [3, 1], [7, 1], [9, 1]], 1/3628800], [[[1, 11], [3, 2], [5, 1], [7, 1]], 3797/254016000], [[[1, 11], [3, 2], [5, 1], [9, 1]], 109/36288000], [[[1, 12], [2, 1], [3, 2], [5, 2]], 362129/13063680000], [[[1, 12], [2, 1], [3, 3], [7, 1]], 1013/45722880], [[[1, 12], [2, 1], [3, 3], [9, 1]], 1/161280], [[[1, 12], [2, 1], [3, 4], [5, 1]], 329/9331200], [[[1, 12], [2, 1], [3, 5], [4, 1]], 1/138240], [[[1, 12], [2, 1], [3, 5], [6, 1]], 29/5598720], [[[1, 12], [2, 1], [5, 2], [10, 1]], 29/483840000], [[[1, 12], [2, 3], [3, 1], [5, 2]], 43811/580608000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 781/77414400], [[[1, 12], [2, 3], [3, 2], [7, 1]], 4103/48771072], [[[1, 12], [2, 3], [3, 2], [9, 1]], 1753/104509440], [[[1, 12], [2, 3], [3, 3], [4, 2]], 5147/69672960], [[[1, 12], [2, 3], [3, 3], [5, 1]], 23449/149299200], [[[1, 12], [2, 3], [3, 3], [6, 2]], 37/4147200], [[[1, 12], [2, 3], [3, 4], [4, 1]], 47213/418037760], [[[1, 12], [2, 3], [3, 4], [6, 1]], 7853/104509440], [[[1, 12], [2, 3], [4, 1], [5, 2]], 18421/725760000], [[[1, 12], [2, 3], [4, 2], [7, 1]], 1033/135475200], [[[1, 12], [2, 3], [4, 3], [5, 1]], 4373/2322432000], [[[1, 12], [2, 3], [4, 3], [8, 1]], 827/928972800], [[[1, 12], [2, 3], [5, 1], [7, 1]], 1879/67737600], [[[1, 12], [2, 5], [3, 1], [4, 3]], 133/1769472], [[[1, 12], [2, 5], [3, 1], [6, 3]], 47/6270566400], [[[1, 12], [2, 5], [3, 1], [7, 1]], 127/2150400], [[[1, 12], [2, 5], [3, 1], [9, 1]], 1/165888], [[[1, 12], [2, 5], [3, 2], [4, 2]], 44743/185794560], [[[1, 12], [2, 5], [3, 2], [5, 1]], 52781/348364800], [[[1, 12], [2, 5], [3, 2], [6, 2]], 877/59719680], [[[1, 12], [2, 5], [3, 3], [4, 1]], 94387/418037760], [[[1, 12], [2, 5], [3, 3], [6, 1]], 1123/8709120], [[[1, 12], [2, 5], [4, 1], [7, 1]], 359/7741440], [[[1, 12], [2, 5], [4, 1], [14, 1]], 23/609638400], [[[1, 12], [2, 5], [4, 2], [5, 1]], 127/1769472], [[[1, 12], [2, 5], [4, 2], [6, 2]], 107/8360755200], [[[1, 12], [2, 5], [4, 2], [8, 1]], 23503/928972800], [[[1, 12], [2, 5], [4, 2], [10, 1]], 107/2322432000], [[[1, 12], [2, 5], [4, 3], [6, 1]], 23/696729600], [[[1, 12], [2, 5], [5, 1], [10, 1]], 4121/1990656000], [[[1, 12], [2, 5], [6, 1], [14, 1]], 1/406425600], [[[1, 12], [2, 5], [6, 1], [18, 1]], 1/174182400], [[[1, 12], [2, 7], [3, 1], [4, 2]], 35249/232243200], [[[1, 12], [2, 7], [3, 1], [5, 1]], 6703/165888000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 1111/3135283200], [[[1, 12], [2, 7], [3, 1], [10, 1]], 23/145152000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 9883/79626240], [[[1, 12], [2, 7], [3, 2], [6, 1]], 1139/19906560], [[[1, 12], [2, 7], [4, 1], [5, 1]], 12019/221184000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 121/895795200], [[[1, 12], [2, 7], [4, 1], [8, 1]], 29101/2786918400], [[[1, 12], [2, 7], [4, 1], [10, 1]], 2449/5225472000], [[[1, 12], [2, 7], [4, 2], [6, 1]], 3361/4180377600], [[[1, 12], [2, 7], [6, 1], [10, 1]], 1/19353600], [[[1, 12], [2, 9], [3, 1], [4, 1]], 106787/4459069440], [[[1, 12], [2, 9], [3, 1], [6, 1]], 7804553/1003290624000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 3323/1959552000], [[[1, 13], [2, 2], [3, 1], [5, 2]], 20569/1244160000], [[[1, 13], [2, 2], [3, 2], [7, 1]], 6931/365783040], [[[1, 13], [2, 2], [3, 2], [9, 1]], 503/174182400], [[[1, 13], [2, 2], [3, 3], [4, 2]], 787/149299200], [[[1, 13], [2, 2], [3, 3], [5, 1]], 136879/3135283200], [[[1, 13], [2, 2], [3, 3], [6, 2]], 1/2073600], [[[1, 13], [2, 2], [3, 4], [4, 1]], 277/13063680], [[[1, 13], [2, 2], [3, 4], [6, 1]], 427/37324800], [[[1, 13], [2, 2], [4, 1], [5, 2]], 2759/967680000], [[[1, 13], [2, 2], [4, 2], [7, 1]], 151/406425600], [[[1, 13], [2, 2], [5, 1], [7, 1]], 1807/338688000], [[[1, 13], [2, 4], [3, 1], [4, 3]], 14311/1393459200], [[[1, 13], [2, 4], [3, 1], [7, 1]], 44021/1625702400], [[[1, 13], [2, 4], [3, 1], [9, 1]], 1481/696729600], [[[1, 13], [2, 4], [3, 2], [4, 2]], 546977/8360755200], [[[1, 13], [2, 4], [3, 2], [5, 1]], 731/8601600], [[[1, 13], [2, 4], [3, 2], [6, 2]], 2953/1045094400], [[[1, 13], [2, 4], [3, 3], [4, 1]], 14627/139345920], [[[1, 13], [2, 4], [3, 3], [6, 1]], 76087/1567641600], [[[1, 13], [2, 4], [4, 1], [7, 1]], 3809/270950400], [[[1, 13], [2, 4], [4, 2], [5, 1]], 23399/1548288000], [[[1, 13], [2, 4], [4, 2], [8, 1]], 2491/557383680], [[[1, 13], [2, 4], [5, 1], [10, 1]], 5213/13934592000], [[[1, 13], [2, 6], [3, 1], [4, 2]], 38947/464486400], [[[1, 13], [2, 6], [3, 1], [5, 1]], 63191/1548288000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 11/1045094400], [[[1, 13], [2, 6], [3, 2], [4, 1]], 15187/139345920], [[[1, 13], [2, 6], [3, 2], [6, 1]], 53317/1393459200], [[[1, 13], [2, 6], [4, 1], [5, 1]], 113983/3096576000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 1/223948800], [[[1, 13], [2, 6], [4, 1], [8, 1]], 285379/55738368000], [[[1, 13], [2, 6], [4, 1], [10, 1]], 1/62208000], [[[1, 13], [2, 6], [4, 2], [6, 1]], 29/1045094400], [[[1, 13], [2, 6], [6, 1], [10, 1]], 23/13063680000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 92359/2786918400], [[[1, 13], [2, 8], [3, 1], [6, 1]], 28957/4180377600], [[[1, 13], [2, 8], [4, 1], [6, 1]], 1117/6270566400], [[[1, 13], [3, 1], [5, 1], [7, 1]], 2831/3048192000], [[[1, 13], [3, 1], [5, 1], [9, 1]], 29/435456000], [[[1, 14], [2, 1], [3, 1], [5, 2]], 45217/26127360000], [[[1, 14], [2, 1], [3, 2], [7, 1]], 1453/731566080], [[[1, 14], [2, 1], [3, 2], [9, 1]], 41/174182400], [[[1, 14], [2, 1], [3, 3], [5, 1]], 84919/15676416000], [[[1, 14], [2, 1], [3, 4], [4, 1]], 2701/2090188800], [[[1, 14], [2, 1], [3, 4], [6, 1]], 929/1567641600], [[[1, 14], [2, 1], [4, 1], [5, 2]], 341/2903040000], [[[1, 14], [2, 1], [5, 1], [7, 1]], 1537/3048192000], [[[1, 14], [2, 3], [3, 1], [4, 3]], 17/34406400], [[[1, 14], [2, 3], [3, 1], [7, 1]], 169/24883200], [[[1, 14], [2, 3], [3, 1], [9, 1]], 107/261273600], [[[1, 14], [2, 3], [3, 2], [4, 2]], 7303/928972800], [[[1, 14], [2, 3], [3, 2], [5, 1]], 133439/5225472000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 1/3686400], [[[1, 14], [2, 3], [3, 3], [4, 1]], 21181/895795200], [[[1, 14], [2, 3], [3, 3], [6, 1]], 19261/2090188800], [[[1, 14], [2, 3], [4, 1], [7, 1]], 1837/812851200], [[[1, 14], [2, 3], [4, 2], [5, 1]], 20719/13934592000], [[[1, 14], [2, 3], [4, 2], [8, 1]], 221/557383680], [[[1, 14], [2, 3], [5, 1], [10, 1]], 1/25804800], [[[1, 14], [2, 5], [3, 1], [4, 2]], 547/22118400], [[[1, 14], [2, 5], [3, 1], [5, 1]], 333041/14929920000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 119773/2388787200], [[[1, 14], [2, 5], [3, 2], [6, 1]], 15229/1045094400], [[[1, 14], [2, 5], [4, 1], [5, 1]], 385697/27869184000], [[[1, 14], [2, 5], [4, 1], [8, 1]], 85139/55738368000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 291407/11147673600], [[[1, 14], [2, 7], [3, 1], [6, 1]], 707191/167215104000], [[[1, 14], [2, 7], [4, 1], [6, 1]], 1/165888000], [[[1, 15], [2, 2], [3, 1], [7, 1]], 1357/1463132160], [[[1, 15], [2, 2], [3, 1], [9, 1]], 1/23224320], [[[1, 15], [2, 2], [3, 2], [4, 2]], 2833/8360755200], [[[1, 15], [2, 2], [3, 2], [5, 1]], 10601/2612736000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1/99532800], [[[1, 15], [2, 2], [3, 3], [4, 1]], 2201/895795200], [[[1, 15], [2, 2], [3, 3], [6, 1]], 5/5971968], [[[1, 15], [2, 2], [4, 1], [7, 1]], 89/487710720], [[[1, 15], [2, 2], [4, 2], [5, 1]], 3821/69672960000], [[[1, 15], [2, 2], [4, 2], [8, 1]], 191/13934592000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 1/483840000], [[[1, 15], [2, 4], [3, 1], [4, 2]], 32183/8360755200], [[[1, 15], [2, 4], [3, 1], [5, 1]], 293677/41803776000], [[[1, 15], [2, 4], [3, 2], [4, 1]], 1871/149299200], [[[1, 15], [2, 4], [3, 2], [6, 1]], 1231/391910400], [[[1, 15], [2, 4], [4, 1], [5, 1]], 8251/2786918400], [[[1, 15], [2, 4], [4, 1], [8, 1]], 373/1393459200], [[[1, 15], [2, 6], [3, 1], [4, 1]], 986897/83607552000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 66799/41803776000], [[[1, 16], [2, 1], [3, 1], [7, 1]], 1177/18289152000], [[[1, 16], [2, 1], [3, 1], [9, 1]], 1/435456000], [[[1, 16], [2, 1], [3, 2], [5, 1]], 19457/60963840000], [[[1, 16], [2, 1], [3, 3], [4, 1]], 2951/31352832000], [[[1, 16], [2, 1], [3, 3], [6, 1]], 259/8957952000], [[[1, 16], [2, 1], [4, 1], [7, 1]], 71/12192768000], [[[1, 16], [2, 1], [5, 1], [10, 1]], 1/23224320000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 37/124416000], [[[1, 16], [2, 3], [3, 1], [5, 1]], 4499/3483648000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 4727/2786918400], [[[1, 16], [2, 3], [3, 2], [6, 1]], 263/696729600], [[[1, 16], [2, 3], [4, 1], [5, 1]], 923/2580480000], [[[1, 16], [2, 3], [4, 1], [8, 1]], 277/10450944000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 34999/11147673600], [[[1, 16], [2, 5], [3, 1], [6, 1]], 12319/33443020800], [[[1, 17], [2, 2], [3, 1], [4, 2]], 5251/585252864000], [[[1, 17], [2, 2], [3, 1], [5, 1]], 397423/2926264320000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 1063/9144576000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 983/41803776000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 132737/5852528640000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 227/167215104000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 2309/4644864000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 6467/125411328000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 11027/1463132160000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 1229/390168576000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 37/62705664000], [[[1, 18], [2, 1], [4, 1], [5, 1]], 3431/5852528640000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 23/836075520000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 107231/2341011456000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 203/47775744000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 2641/1170505728000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 157/836075520000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 107/2341011456000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 17/5016453120000], [[[2, 3], [5, 2], [6, 1], [10, 3]], 1/3000], [[[2, 3], [5, 2], [10, 2], [14, 1]], 1/1400], [[[2, 3], [6, 1], [10, 2], [14, 2]], 1/14700], [[[2, 3], [6, 2], [10, 3], [14, 1]], 1/31500], [[[2, 3], [6, 2], [10, 3], [18, 1]], 1/13500], [[[2, 5], [5, 2], [6, 2], [10, 2]], 1/7200], [[[2, 5], [6, 1], [10, 3], [14, 1]], 1/7875], [[[2, 5], [6, 1], [10, 3], [18, 1]], 1/27000], [[[2, 5], [6, 2], [10, 1], [14, 2]], 1/8820], [[[2, 5], [6, 3], [10, 2], [14, 1]], 17/226800], [[[2, 5], [6, 3], [10, 2], [18, 1]], 1/6480], [[[2, 7], [5, 2], [6, 1], [10, 2]], 1/72000], [[[2, 7], [6, 1], [10, 1], [14, 2]], 11/176400], [[[2, 7], [6, 2], [10, 2], [14, 1]], 251/1512000], [[[2, 7], [6, 2], [10, 2], [18, 1]], 23/324000], [[[2, 7], [6, 3], [14, 1], [18, 1]], 1/9072], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/17010], [[[2, 7], [6, 4], [10, 1], [18, 1]], 1/9720], [[[2, 9], [6, 1], [10, 2], [14, 1]], 2249/84672000], [[[2, 9], [6, 1], [10, 2], [18, 1]], 113/36288000], [[[2, 9], [6, 2], [14, 1], [18, 1]], 1/90720], [[[2, 9], [6, 3], [10, 1], [14, 1]], 53/680400], [[[2, 9], [6, 3], [10, 1], [18, 1]], 1/25920], [[[2, 11], [6, 1], [14, 1], [18, 1]], 1/3628800], [[[2, 11], [6, 2], [10, 1], [14, 1]], 3797/254016000], [[[2, 11], [6, 2], [10, 1], [18, 1]], 109/36288000], [[[2, 13], [6, 1], [10, 1], [14, 1]], 2831/3048192000], [[[2, 13], [6, 1], [10, 1], [18, 1]], 29/435456000], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 4]], 1/40000], [[[1, 1], [2, 2], [5, 1], [6, 1], [10, 4]], 1/15000], [[[1, 1], [2, 2], [5, 1], [10, 3], [14, 1]], 1/7000], [[[1, 1], [2, 2], [5, 3], [6, 1], [10, 2]], 1/15000], [[[1, 1], [2, 2], [5, 3], [10, 1], [14, 1]], 1/7000], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 4]], 1/60000], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 3]], 1/27000], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 4]], 1/12000], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 3]], 1/108000], [[[1, 1], [2, 4], [4, 1], [10, 3], [14, 1]], 1/7000], [[[1, 1], [2, 4], [5, 1], [6, 2], [10, 3]], 1/7200], [[[1, 1], [2, 4], [5, 2], [6, 2], [10, 2]], 1/7200], [[[1, 1], [2, 4], [5, 3], [6, 2], [10, 1]], 1/36000], [[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/5250], [[[1, 1], [2, 4], [6, 1], [10, 3], [18, 1]], 1/9000], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/8820], [[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/15120], [[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 1/6480], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 17/216000], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/12150], [[[1, 1], [2, 6], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 17/72000], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 1/7056], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/28800], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 1/40000], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/11760], [[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 23/360000], [[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/10800], [[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/84000], [[[1, 1], [2, 6], [5, 2], [6, 1], [10, 2]], 1/7200], [[[1, 1], [2, 6], [5, 3], [6, 1], [10, 1]], 1/360000], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/3528], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/2016], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 11/32400], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/4536], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/9720], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/4860], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 11/2160000], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 17/162000], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/12096], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/15552], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 7/116640], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 3/32000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 11/141120], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 583/2592000], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 19/217728], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/7776], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 1/186624], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/29160], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 19/504000], [[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 1/28800], [[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/51840], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 83/336000], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 53/1296000], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 11/90720], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 101/272160], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 7/25920], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 859/72576000], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/34560], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/155520], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 227/4665600], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1043/13824000], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 53/870912], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 1/41472], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 109/7464960], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 47/583200], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 1429/725760000], [[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 109/40320000], [[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 1/259200], [[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/4032000], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 1/181440], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 1721/10160640], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 109/2419200], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 2957/8709120000], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 11/4838400], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 1/6220800], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 1537/217728000], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 107/19353600], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 817/101606400], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 13/9676800], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 701/261273600], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 51221/2612736000], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 743/508032000], [[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 1/3870720], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 27037/1524096000], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 341/217728000], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/19353600], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1937/5225472000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 23/60963840], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/43545600], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 103/597196800], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 1027/653184000], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 179/4354560000], [[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 19/2903040000], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 689/104509440000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 89/20901888000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 937/18289152000], [[[1, 2], [2, 1], [3, 1], [5, 2], [10, 3]], 1/15000], [[[1, 2], [2, 1], [3, 1], [5, 4], [10, 1]], 1/15000], [[[1, 2], [2, 1], [4, 1], [5, 4], [8, 1]], 1/40000], [[[1, 2], [2, 1], [5, 1], [7, 1], [10, 3]], 1/7000], [[[1, 2], [2, 1], [5, 3], [7, 1], [10, 1]], 1/7000], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 4]], 1/60000], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 3]], 1/32000], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/12800], [[[1, 2], [2, 3], [4, 2], [5, 2], [10, 2]], 1/6400], [[[1, 2], [2, 3], [4, 2], [5, 3], [10, 1]], 1/32000], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 1/8000], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 3/12800], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 3]], 1/7200], [[[1, 2], [2, 3], [5, 3], [6, 2], [10, 1]], 1/36000], [[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 11/180000], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 7/36000], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/12150], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 1/21600], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 3/32000], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 19/48000], [[[1, 2], [2, 5], [4, 1], [5, 3], [10, 1]], 1/96000], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 19/72000], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/7056], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/51840], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 1/8000], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/3920], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 7/32000], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/9408], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/20736], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 19/518400], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/1344], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 17/67200], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 11/36000], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/5400], [[[1, 2], [2, 5], [5, 1], [7, 1], [10, 2]], 11/84000], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/8400], [[[1, 2], [2, 5], [5, 2], [6, 1], [10, 2]], 1/4800], [[[1, 2], [2, 5], [5, 3], [6, 1], [10, 1]], 1/36000], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/3920], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/2880], [[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 7/21600], [[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/22680], [[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/9720], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 37/720000], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 11/25920], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 1/5184], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1/5184], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 7/58320], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/20736], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/172800], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1/12960], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 139/288000], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 5/14112], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 47/86400], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 17/108864], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 1/3888], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/93312], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 11/233280], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/3360], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 17/128000], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 5/27648], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 571/1382400], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 7/41472], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 11/41472], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 7/248832], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 11/155520], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 83/1152000], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 23/153600], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 7/28800], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/17280], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 7/11520], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/6912], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 5/18144], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/1890], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 13/25920], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 17/186624], [[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 23/544320000], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 2521/18144000], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 1/4320], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 1/12960], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 343/1166400], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/207360], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 7/518400], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 71/16128000], [[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 1/32256000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/16128000], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1979/3456000], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 119/311040], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 5/20736], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 131/1866240], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 157/466560], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 313/10752000], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 13/774144], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 5713/48384000], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 67/483840], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 17/414720], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 23/248832], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 2843/12441600], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 1/80640], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 3/89600], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 109/2688000], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 1/21600], [[[1, 2], [2, 9], [5, 1], [7, 1], [10, 1]], 23/254016000], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 1/201600], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 13/362880], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 143/241920], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 109/518400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 131/3732480], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 4213/622080000], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 59/1612800], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 7/2073600], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 839/8709120], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/23224320], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1/2073600], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 25189/290304000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 923/8128512], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 29/1161216], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 3799/104509440], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 116533/522547200], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 43/9676800], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 59/2257920], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 113/1161216000], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 479/33868800], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 19/14515200], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 3617/232243200], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 1493/29030400], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 113/36288000], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 1/179200], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 4877/40642560], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 233/17418240], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 361/99532800], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 37/29030400], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 42187/5225472000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 1/48384000], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 649/76204800], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 11/17418240], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 2077/522547200], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 82261/2612736000], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 3583/3483648000], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 23/27869184], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 10709/3483648000], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 41/193536000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1511/10450944000], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 5191/26127360000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 751/5225472000], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 7823/5225472000], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 331/167215104000], [[[1, 3], [2, 2], [3, 1], [5, 4], [6, 1]], 1/60000], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 3]], 1/36000], [[[1, 3], [2, 2], [3, 2], [5, 3], [10, 1]], 1/7200], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 3]], 1/32000], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 3/12800], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 2]], 1/6400], [[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 1/8000], [[[1, 3], [2, 2], [4, 2], [5, 3], [10, 1]], 1/32000], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/12800], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/3600], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/14400], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 1/21600], [[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 1/97200], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 11/32000], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 13/32000], [[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 3/32000], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/8000], [[[1, 3], [2, 4], [4, 2], [5, 2], [14, 1]], 1/11200], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/32000], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/896], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/22400], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/5120], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/12800], [[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 1/25600], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/12800], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/9216], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 1/230400], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 9/25600], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 3/5120], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 7/24000], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 1/10800], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 13/25200], [[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 1/5600], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 1/4000], [[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 1/32400], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [5, 3], [6, 1], [10, 1]], 1/24000], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/124416], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/43200], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 17/144000], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 19/43200], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 5/36288], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 1/5184], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 7/116640], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/46656], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 1/20736], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 1/6912], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/72000], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 7/172800], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/18144], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/7776], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1/6480], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/15552], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/31104], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 49/96000], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 1/3136], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 157/518400], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 5/72576], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 1/7776], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/186624], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/77760], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/2100], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 67/128000], [[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/57600], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/76800], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 3/64000], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 1/2048], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 43/76800], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/6048], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 1/3456], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 5/124416], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/19440], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 1/2560], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 37/51200], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 11/18432], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 67/230400], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/4608], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 7/82944], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 23/414720], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1/1344], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/5376], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 13/28800], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/17280], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 29/67200], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 13/86400], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 1/6048], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/4320], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 7/25920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 37/186624], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 53/248832], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 19/331776], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/432000], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/806400], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 31/69120], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 31/60480], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 1/4320], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 31/58320], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 25/124416], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 1/20736], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1/55296], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 1/181440], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 1/77760], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 31/259200], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/155520], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 1/622080], [[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 1/130636800], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 163/1152000], [[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 1/1152000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/576000], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 1627/1382400], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 13/20736], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 11/20736], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 11/93312], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 1/2430], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 17/128000], [[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 1/576000], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1/5120], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 553/768000], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 23/35840], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 47/138240], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 53/155520], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 1681/2488320], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 23/161280], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 233/806400], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 19/460800], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 43/322560], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 1/46080], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 83/276480], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 209/691200], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 157/921600], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 109/576000], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 1/7200], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 11/4233600], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 13/403200], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 23/6048000], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 1/12096], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 13/16128], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 13/34560], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 7/23328], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 277/3317760], [[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/27095040], [[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/11612160], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 1/181440], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/48384000], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 9061/193536000], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 31/161280], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 1/41472], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 8983/21772800], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 233/8709120], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 1/829440], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/46448640], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 47/5225472000], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/20321280], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/8709120], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 17/2073600], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 1/17418240], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 1/69672960], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 20917/48384000], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 1/2016], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 7/46080], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 757/5225472], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 3053/4147200], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 23/203212800], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 1/30240], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 127/806400], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/12902400], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 169/43008000], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 1/5760], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 1/46080], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 419/2322432], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 14267/29030400], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 373/7741440], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 277/7741440], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 557/9676800], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 263/6451200], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 289/806400], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 53/1036800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 21277/348364800], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 757/116121600], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 17/348364800], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 97/8294400], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 66847/1045094400], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 1523/2090188800], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 13/20736000], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 7097/101606400], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 569/87091200], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 19399/597196800], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 5443/24883200], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 5623/580608000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 361/21772800], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 96721/1741824000], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 503/193536000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 7733/2090188800], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 1/6967296], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 12343/5225472000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 1963/1045094400], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 14629/870912000], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 1429/20901888000], [[[1, 3], [3, 1], [5, 2], [7, 1], [9, 1]], 1/6300], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 4]], 1/12000], [[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/5250], [[[1, 4], [2, 1], [3, 1], [5, 3], [9, 1]], 1/9000], [[[1, 4], [2, 1], [3, 1], [5, 4], [6, 1]], 1/60000], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/8820], [[[1, 4], [2, 1], [3, 2], [5, 1], [10, 3]], 1/36000], [[[1, 4], [2, 1], [3, 2], [5, 2], [10, 2]], 1/7200], [[[1, 4], [2, 1], [3, 2], [5, 3], [10, 1]], 1/7200], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 3]], 1/108000], [[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/15120], [[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 1/6480], [[[1, 4], [2, 1], [3, 3], [5, 3], [6, 1]], 1/27000], [[[1, 4], [2, 1], [4, 1], [5, 3], [7, 1]], 1/7000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/32000], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 3]], 1/24000], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 1/4000], [[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 7/24000], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 1/230400], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/9216], [[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/14400], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 1/32400], [[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 1/21600], [[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 1/10800], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 3/32000], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 13/32000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/8000], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 11/32000], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/22400], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/896], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 2]], 1/11200], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 3/5120], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/12800], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 9/25600], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/12800], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 1/25600], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/5120], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/3360], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/3600], [[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 1/97200], [[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 1/5600], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 13/25200], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/6144], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/55296], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/43200], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/16000], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/10800], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/27216], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/36288], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/15552], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/46656], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 13/186624], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 1/18432], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 1/13824], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1/18432], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/58320], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/12000], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/11520], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 7/57600], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 1/18144], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/7776], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/6048], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 1/2592], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/12960], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 37/139968], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 11/31104], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 1/20736], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1/6048], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 1/2592], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 1/3024], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/6480], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 7/34992], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/20736], [[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 1/16800], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 7/288000], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/33600], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1/10240], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 41/76800], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/57600], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/9600], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 43/128000], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 1/3072], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 23/460800], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 1/36288], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 1/41472], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 1/82944], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 1/2352], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 1/1920], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 23/30720], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/4480], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/19200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/1024], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 3/25600], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/32256], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 1/13824], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/27648], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/138240], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/896], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/8960], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 1/10240], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1/5120], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 1/14336], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 1/6144], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1/9216], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/92160], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1/2048], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 7/28800], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 1/51840], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 17/129600], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 1/806400], [[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 1/345600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 23/186624], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 41/124416], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 35/110592], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/64512], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 1/27648], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 5/27648], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 13/864000], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 1/43200], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/96000], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 29/57600], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/10368], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 5/12096], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 1/3888], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 13/38880], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 55/124416], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 73/124416], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 97/331776], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 1/110592], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/69120], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 7/155520], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 1/18144], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 1/7776], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 5/24192], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 11/25920], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 31/93312], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 5/124416], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 1/165888], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 1/4665600], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/12960], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/1399680], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 203/384000], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/153600], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 1/24000], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 167/230400], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 5/16128], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 7/20736], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 5/62208], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 23/155520], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 107/460800], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1/1920], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 437/460800], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/13824], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 5/8064], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 41/82944], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 53/124416], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 131/276480], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 1/20160], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 11/134400], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 23/32256], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 29/53760], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 1/30720], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 17/51200], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 13/32256], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 1/6912], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 29/36864], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 5/9216], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 271/307200], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 19/36864], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 91/368640], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 103/288000], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 193/1244160], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/48384], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 11/100800], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 1/22680], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 1/16128], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 181/483840], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 47/207360], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 611/933120], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 179/276480], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 1/967680], [[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 1/414720], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 79/552960], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 23/1105920], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 1/1728000], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 929/6912000], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 11/1270080], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 199/483840], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 43/622080], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 251/345600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 227/870912], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 2087/34836480], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1/1658880], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 1/829440], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 11/2721600], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 103/373248000], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 1/725760], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 1/311040], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 83/1036800], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 107/26127360], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/104509440], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 1/2488320], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/156764160], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 1/864000], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 1937/2304000], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 113/138240], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 47/138240], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 613/2488320], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 2303/2488320], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 11/3386880], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 11/107520], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 307/806400], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1/460800], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 121/1843200], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 11/1693440], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 193/322560], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 23/207360], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 131/207360], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 569/460800], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 11/36864], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1/230400], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 17/46080], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 23/51200], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 83/663552], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 4691/9676800], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 371/4147200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 46889/139345920], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/40642560], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/17418240], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 23/870912000], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 347/3317760], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 23/348364800], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 781/154828800], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/108864000], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 23/304819200], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 29/580608], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 26737/116121600], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1001/74649600], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 47/4180377600], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 13/149299200], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 23/653184000], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 137/6270566400], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 47/1161216000], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 313/41472000], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 31/120960], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 13/414720], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 5423/46448640], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 6277/9676800], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 1121/25804800], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 373/3096576], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 1223/3686400], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 9127/580608000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 73999/2090188800], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 9593/2786918400], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 24617/1741824000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 263/21772800], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 159223/1741824000], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 7937/8360755200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 7/32000], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/9408], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/3920], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 3]], 1/36000], [[[1, 5], [2, 2], [3, 1], [5, 2], [10, 2]], 1/4800], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 11/36000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 19/72000], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/7056], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/2880], [[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 7/21600], [[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 7/36000], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 19/518400], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/20736], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 1/21600], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/5400], [[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 1/9072], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/51840], [[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/22680], [[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/9720], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/12150], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/3920], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 3]], 1/96000], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 19/48000], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 1/8000], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 3/32000], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 17/67200], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/1344], [[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 11/180000], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/8400], [[[1, 5], [2, 2], [5, 2], [10, 1], [14, 1]], 11/84000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 7/288000], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 3/25600], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/1024], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/19200], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 1/14336], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 1/6144], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 1/806400], [[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 1/345600], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/16000], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 23/460800], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/20736], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 1/3072], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/57600], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 1/20736], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/32256], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/92160], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 17/129600], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 7/57600], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 7/28800], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/11520], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 1/3024], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1/6048], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 1/2592], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 7/34992], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 11/31104], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 1/96768], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 1/41472], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 1/36288], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/138240], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 1/13824], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/27648], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/55296], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/6480], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/10800], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/43200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/6048], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 1/2592], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 1/18144], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/7776], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 37/139968], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 13/186624], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 1/82944], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/12960], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 1/51840], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/36288], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/15552], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/27216], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/58320], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/46656], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/33600], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 1/16800], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 23/30720], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 43/128000], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 1/1920], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 41/76800], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 1/18432], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 1/2352], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/9600], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1/10240], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/8960], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/6144], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 1/16128], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/896], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/4480], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1/2048], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1/5120], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 1/10240], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/12000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/62208], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 29/248832], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/12288], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 277/995328], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 1/10752], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 1/4608], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 1/4032], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 1/122880], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 5/18432], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1/12288], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 5/49152], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/38880], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1/12000], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1/28800], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 23/691200], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 107/691200], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/5184], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 5/48384], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 1/10368], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/20736], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 1/70560], [[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 1/30240], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 47/124416], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 377/373248], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 1/10752], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 305/331776], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 1/12288], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/23040], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 7/110592], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 1/8640], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 1/2688], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 1/5184], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 1/1728], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/1920], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 41/46656], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 121/186624], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 1/248832], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1/155520], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 1/12288], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 17/103680], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 1/622080], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 5/72576], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/3456], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 125/1119744], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 1/373248], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/116640], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1087/2304000], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 23/1536000], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1567/6912000], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 29/921600], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 1/54432], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 1/96768], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 1/41472], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 1/55296], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 1/3528], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 223/1536000], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1/51840], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 3/8960], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 7/115200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 79/460800], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 1/6912], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 5/64512], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 1/9216], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 7/41472], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1/30720], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 11/32256], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 13/40320], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 11/10752], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 1/7680], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 19/61440], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 13/19200], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 1/4032], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1/4608], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 1/3456], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 61/110592], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 1/7680], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 73/61440], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1/7680], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 5/6144], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 13/61440], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 53/230400], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 19/311040], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/11520], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 83/720000], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/483840], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1/207360], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 773/1492992], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 23/20736], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 1/55296], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 7/165888], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 1/86400], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 1429/1658880], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 1/34560], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 11/230400], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 317/1474560], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1/25920], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/230400], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 893/5529600], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 1/10368], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1/155520], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 71/193536], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 7/82944], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 217/414720], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/302400], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/129600], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 67/82944], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 3361/4976640], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 1/103680], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 19/1036800], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 41/829440], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 1/21600], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 127/49766400], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 1/96768], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 1/41472], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 7/23040], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 1661/26127360], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/3732480], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 97/7464960], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1/86400], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 1/5598720], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/86400], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 539/921600], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 1/20736], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 13/27648], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 5/18432], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 943/4976640], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 1997/4976640], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 5/193536], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 11/201600], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 11/64512], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 109/322560], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 1/28800], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 3463/9216000], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 17/241920], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 1/1536], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 5/27648], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 11/12288], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 271/276480], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 713/921600], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1/23040], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 307/276480], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 1/1152], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 653/4147200], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 169/691200], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 5/82944], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 15091/19906560], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 1/1451520], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 1/622080], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 1/1290240], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 205/387072], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 11/5806080], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 4187/46448640], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 23/7257600], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 103/373248000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 31/12700800], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 1/1555200], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 403/3870720], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 6649/16588800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 173/1720320], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 103/298598400], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 137/34836480], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 1/967680], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 283/447897600], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 2071/1741824000], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 37997/870912000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 11/2540160], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 13/30240], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 29/414720], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 347/1658880], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 3559/4147200], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 5789/55296000], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 17/3225600], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 1541/3870720], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 2167/2764800], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 5737/116121600], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 23/1306368000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 37183/232243200], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 1/87091200], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 21421/696729600], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 47/1741824000], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 10543/232243200], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 1/12441600], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 4783/116121600], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 7373/29030400], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 22733/3344302080], [[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/3528], [[[1, 6], [2, 1], [3, 1], [5, 1], [10, 3]], 1/360000], [[[1, 6], [2, 1], [3, 1], [5, 2], [10, 2]], 1/7200], [[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 23/360000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 17/72000], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 1/7056], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/2016], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 11/32400], [[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 17/216000], [[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/10800], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/4536], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/28800], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/9720], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/4860], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/12150], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/11760], [[[1, 6], [2, 1], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 1/40000], [[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/84000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 49/96000], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 1/3136], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 67/230400], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 11/18432], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 29/67200], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 13/86400], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 17/144000], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 43/76800], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 1/2048], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/57600], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/8064], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/4608], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/21600], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 7/172800], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 13/28800], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 1/6048], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 157/518400], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/31104], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/6048], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 1/3456], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 23/414720], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 1/6912], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 7/82944], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/4320], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 7/25920], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 19/43200], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/43200], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/18144], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/7776], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/15552], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 5/72576], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 1/7776], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/19440], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 1/20736], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 5/124416], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/124416], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1/6480], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 5/36288], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 1/5184], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/77760], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/46656], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/186624], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 7/116640], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/2100], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 37/51200], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 3/64000], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 1/2560], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 67/128000], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/76800], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/5376], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1/1344], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/72000], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 79/460800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 1/373248], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1/2304], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 7/115200], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 1/12288], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1/4608], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 1/3456], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 1/4032], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 13/61440], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 7/110592], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 5/6144], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1/7680], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 5/49152], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/116640], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 83/720000], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 53/230400], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 5/72576], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 29/921600], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 125/1119744], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/86400], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 121/186624], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 5/64512], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 1/9216], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 1/6912], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 1/7680], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 305/331776], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 61/110592], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/23040], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 5/18432], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/3456], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/483840], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1/207360], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 107/691200], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1/28800], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 1/1728], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 1/2688], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 1/5184], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 17/103680], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 41/46656], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 1/96768], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 1/41472], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 1/54432], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1/30720], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 377/373248], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 7/41472], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1/51840], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 277/995328], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/1920], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 19/311040], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 5/48384], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 1/10368], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/5184], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 1/8640], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 47/124416], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 1/55296], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 29/248832], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/20736], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/38880], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/62208], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1567/6912000], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 223/1536000], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1087/2304000], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 1/3528], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 23/1536000], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1/155520], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 1/7680], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 13/40320], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/12288], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 1/10752], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 1/248832], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 11/10752], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 3/8960], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 11/32256], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 73/61440], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 13/19200], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 1/4032], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 1/10752], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 1/4608], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 1/12288], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 19/61440], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1/12288], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 1/122880], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 23/691200], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 1/622080], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/11520], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1/12000], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 1/70560], [[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 1/30240], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 103/746496], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 3799/5971968], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 5/64512], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 5/27648], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 11/48384], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 1/10240], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 385/331776], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 65/221184], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 13/69120], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 647/884736], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 257/2332800], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 1/75600], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 119/9216000], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 317/4608000], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 71/362880], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 1/155520], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 59/483840], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 7/103680], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 47/414720], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 1/100800], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/43200], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 5131/4478976], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 1/25920], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 3655/1990656], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 121/1658880], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 7/86400], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 173/331776], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 7/27648], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 263/24883200], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1/34560], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 7/103680], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 1021/2073600], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 7261/11197440], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 1/497664], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 1/233280], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 4447/29859840], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 1/14400], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 1/248832], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1/77760], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1/7200], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 1/48000], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 263/4608000], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 1/10368], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 5/129024], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 7/165888], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 55/995328], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 1/61440], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 13/60480], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 47/322560], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 23/537600], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 23/207360], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1171/5529600], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 9349/13824000], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 5/16128], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 229/1290240], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 89/552960], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 1607/3317760], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 1/6912], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 1391/1843200], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 1/3840], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 7/6144], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 43/92160], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 17/221184], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/50400], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 17/3225600], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 1/276480], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 15349/19906560], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 1/161280], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 1/69120], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 59/4147200], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 12787/11612160], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 17/829440], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 19/460800], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 839/1658880], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 283/7257600], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 16253/3265920000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 29/1451520], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 1/155520], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 223/1935360], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 5507/16588800], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 194569/418037760], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 127/39813120], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 7/1036800], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 2459/34836480], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 1/115200], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 17/1036800], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 1597/179159040], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 23/1036800], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 143/14336000], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 38663/290304000], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 17/362880], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 47/161280], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 11/165888], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 1249/6635520], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 49/110592], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 2603/18432000], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 41/725760], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 5935/9289728], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 307/409600], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 8227/116121600], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 1/1935360], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 10303/27869184], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 103/298598400], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 1150801/8360755200], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 2599/2612736000], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 209/2592000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 8833/3135283200], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 17/9072000], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 9161/116121600], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 9769/27648000], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 45373/1672151040], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 139/288000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 5/14112], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 7/11520], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/6912], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 37/720000], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 571/1382400], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 5/27648], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/172800], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 7/28800], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 5/18144], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 47/86400], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 7/41472], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 11/41472], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/1890], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 13/25920], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 11/25920], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 17/108864], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 1/3888], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 11/155520], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/20736], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 7/248832], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1/12960], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/17280], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 1/5184], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1/5184], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 11/233280], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/93312], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 7/58320], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/3360], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 23/153600], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 83/1152000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 17/128000], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 437/460800], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1/1920], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/57600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 1/165888], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 13/32256], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 1/6912], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 91/368640], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 19/36864], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 1/22680], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 103/288000], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 1/16128], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 167/230400], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/1399680], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/86400], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 5/124416], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 5/8064], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 41/82944], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/13824], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 5/9216], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 97/331776], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 29/36864], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/23040], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 5/27648], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/12960], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 181/483840], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 47/207360], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 29/57600], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 1/43200], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 5/24192], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 1/18144], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 1/7776], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 31/93312], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 5/16128], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 7/20736], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 131/276480], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 73/124416], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 53/124416], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 35/110592], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 11/25920], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 193/1244160], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 5/12096], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 1/3888], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/10368], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 7/155520], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 23/155520], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 55/124416], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 5/62208], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 41/124416], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 13/38880], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 23/186624], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 1/24000], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 107/460800], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 203/384000], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/153600], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 29/53760], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 11/134400], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 23/32256], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 1/20160], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/69120], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 271/307200], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 17/51200], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/64512], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 1/27648], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 1/110592], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 1/30720], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 1/4665600], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 11/100800], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/48384], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 13/864000], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 263/4608000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 1/248832], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 1/48000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 4447/29859840], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 229/1290240], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 89/552960], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 5/16128], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 43/92160], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 173/331776], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 7/6144], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 1/3840], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 647/884736], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 1/14400], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 17/3225600], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 1/276480], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/50400], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 317/4608000], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 119/9216000], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 1/10080], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1/34560], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 7/103680], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 7261/11197440], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 5/129024], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 7/165888], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 1/10368], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 1/6912], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 3655/1990656], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 1607/3317760], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 23/207360], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 385/331776], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 1021/2073600], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 17/221184], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 59/483840], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 7/103680], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 71/362880], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 1/155520], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 7/27648], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 1/61440], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 5131/4478976], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 55/995328], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1/77760], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 3799/5971968], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 47/414720], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 257/2332800], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 103/746496], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 1/233280], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 23/537600], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 13/60480], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 1/25920], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 1/497664], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 47/322560], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1/7200], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1/16128], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 7/86400], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 1391/1843200], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 9349/13824000], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 11/48384], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 5/64512], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 5/27648], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 121/1658880], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1171/5529600], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 13/69120], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 65/221184], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 1/10240], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 1/100800], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/43200], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 263/24883200], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 1/75600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 2357/6635520], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 1/60480], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 1/25920], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 1/17280], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 293/3686400], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 26981/24883200], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 751/6635520], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 23/129600], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 3013/2654208], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 43/432000], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 53189/2438553600], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 29/483840], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 1/103680], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 347/3870720], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 47/368640], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 2193137/2090188800], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 49/3981312], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 13/345600], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 5087/9953280], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 533/16588800], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 29/345600], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 13297/179159040], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 179/3110400], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 553/18432000], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 9233/41472000], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 41/362880], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 19/387072], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 13/414720], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 7/92160], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 23/552960], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 211/2211840], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 673/3456000], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 7531/16588800], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 511/1843200], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 17729/348364800], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 53/10368000], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 4325/9289728], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 7937/2612736000], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 49/5184000], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 1027321/2786918400], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 347/38707200], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 767/9216000], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 115187/3919104000], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 463/21772800], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 19549/232243200], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 203/921600], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 12697/199065600], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/75600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 3/32000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 11/141120], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 83/336000], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 53/1296000], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 11/2160000], [[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 1/28800], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 11/90720], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 583/2592000], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 101/272160], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 7/25920], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 17/162000], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 19/217728], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/7776], [[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/51840], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/12096], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/15552], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/29160], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 1/186624], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 7/116640], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 19/504000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 553/768000], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1/5120], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 1/576000], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 43/322560], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 1/46080], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 23/6048000], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 109/576000], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 1/12096], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 1627/1382400], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 1/622080], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 23/35840], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 47/138240], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 209/691200], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1/55296], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 83/276480], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 13/16128], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 13/34560], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 31/69120], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/432000], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 1/181440], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 1/77760], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/155520], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 13/20736], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 11/20736], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 1681/2488320], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 1/20736], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 53/155520], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 19/331776], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 31/259200], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 1/7200], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 31/60480], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 1/4320], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 1/2430], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 25/124416], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 11/93312], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 53/248832], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 31/58320], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 37/186624], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/576000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 17/128000], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 163/1152000], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 1/1152000], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 233/806400], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 23/161280], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 157/921600], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 19/460800], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/806400], [[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 1/130636800], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 13/403200], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 11/4233600], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 539/921600], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 1/5598720], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/86400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 97/7464960], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 1/1536], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 5/27648], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 17/241920], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 1/1152], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 41/829440], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 307/276480], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1/23040], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 317/1474560], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1/86400], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 169/691200], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 5/82944], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 893/5529600], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/230400], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 1/96768], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 1/41472], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 1661/26127360], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 13/27648], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 5/18432], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 1/20736], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 271/276480], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 3361/4976640], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 11/12288], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 1/17280], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 1429/1658880], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 7/23040], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 653/4147200], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 71/193536], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 7/82944], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 1/10368], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1/155520], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 1/21600], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 1997/4976640], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 67/82944], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 943/4976640], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 23/20736], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 217/414720], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1/25920], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 773/1492992], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 109/322560], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 11/201600], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/3732480], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 11/64512], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 5/193536], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 19/1036800], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 713/921600], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 3463/9216000], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 1/55296], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 7/165888], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 1/103680], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 1/28800], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 11/230400], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 1/34560], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 1/86400], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/302400], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/129600], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 127/49766400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 13297/179159040], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 19/387072], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 13/414720], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 41/362880], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 511/1843200], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 5087/9953280], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 7531/16588800], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 673/3456000], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 3013/2654208], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 29/345600], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 17729/348364800], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 347/3870720], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 29/483840], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 1/103680], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 533/16588800], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 23/552960], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 2193137/2090188800], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 7/92160], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 179/3110400], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 26981/24883200], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 47/368640], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 43/432000], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 2357/6635520], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 13/345600], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 211/2211840], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 9233/41472000], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 1/17280], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 1/60480], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 1/25920], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 49/3981312], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 553/18432000], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 23/129600], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 751/6635520], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 293/3686400], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 53189/2438553600], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 151/8294400], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 141517/418037760], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 22319/1950842880], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 49/1036800], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 350027/557383680], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 1139/36864000], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 31/518400], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 83687/585252864], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 101/1728000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 7907/174182400], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 299/5529600], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 12595171/125411328000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 5713/48384000], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 13/774144], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 109/2688000], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 13/362880], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1979/3456000], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 67/483840], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 17/414720], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 143/241920], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 109/518400], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 2521/18144000], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 119/311040], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 5/20736], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 2843/12441600], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/207360], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 23/248832], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 7/518400], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 1/21600], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 1/4320], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 1/12960], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 157/466560], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 131/1866240], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 343/1166400], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 17/186624], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/16128000], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 313/10752000], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 71/16128000], [[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 1/32256000], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 3/89600], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 1/80640], [[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 23/544320000], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 1/201600], [[[1, 9], [2, 2], [5, 1], [10, 1], [14, 1]], 23/254016000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 1937/2304000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/156764160], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 1/864000], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 1/2488320], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 193/322560], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 23/207360], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 11/1693440], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 23/51200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 1/829440], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 17/46080], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1/230400], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 23/1105920], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 4691/9676800], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 371/4147200], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 929/6912000], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 1/1728000], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 1/725760], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 1/311040], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 107/26127360], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 113/138240], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 47/138240], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 569/460800], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 2087/34836480], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 131/207360], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 79/552960], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 83/1036800], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 83/663552], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 199/483840], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 43/622080], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 11/1270080], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 11/2721600], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 2303/2488320], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 227/870912], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 613/2488320], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 179/276480], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 251/345600], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 611/933120], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 307/806400], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/104509440], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 11/107520], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 11/3386880], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 11/36864], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 121/1843200], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 1/967680], [[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 1/414720], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1/1658880], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1/460800], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 103/373248000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 1597/179159040], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 47/161280], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 11/165888], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 17/362880], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 307/409600], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 2459/34836480], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 5935/9289728], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 41/725760], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 839/1658880], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 17/1036800], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 8227/116121600], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 223/1935360], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 29/1451520], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 1/155520], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 1/115200], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 49/110592], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 194569/418037760], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 1249/6635520], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 23/1036800], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 12787/11612160], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 5507/16588800], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 283/7257600], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 15349/19906560], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 7/1036800], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 2603/18432000], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 38663/290304000], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 1/161280], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 1/69120], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 127/39813120], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 143/14336000], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 19/460800], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 17/829440], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 59/4147200], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 16253/3265920000], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 299/5529600], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 83687/585252864], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 7907/174182400], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 101/1728000], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 350027/557383680], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 31/518400], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 1139/36864000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 141517/418037760], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 49/1036800], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 22319/1950842880], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 151/8294400], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 438273931/3511517184000], [[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 109/40320000], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 1/181440], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1043/13824000], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 1721/10160640], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 109/2419200], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 859/72576000], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 53/870912], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 1/41472], [[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 1/259200], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/34560], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/155520], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 47/583200], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 109/7464960], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 227/4665600], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 1429/725760000], [[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/4032000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 20917/48384000], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 1/69672960], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 1/5760], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 1/46080], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 557/9676800], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 277/7741440], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 289/806400], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 53/1036800], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 9061/193536000], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/48384000], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/20321280], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/8709120], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 1/17418240], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 1/2016], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 7/46080], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 14267/29030400], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 1/829440], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 419/2322432], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 1/181440], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 17/2073600], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 263/6451200], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 31/161280], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 1/41472], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 3053/4147200], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 233/8709120], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 757/5225472], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 277/3317760], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 8983/21772800], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 7/23328], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 127/806400], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 1/30240], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 23/203212800], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 373/7741440], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 169/43008000], [[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/27095040], [[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/11612160], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/46448640], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/12902400], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 47/5225472000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 283/447897600], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 13/30240], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 29/414720], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 11/2540160], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 2167/2764800], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 137/34836480], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 1541/3870720], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 17/3225600], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 4187/46448640], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 5737/116121600], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 403/3870720], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 31/12700800], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 1/1555200], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 1/967680], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 3559/4147200], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 173/1720320], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 347/1658880], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 205/387072], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 6649/16588800], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 23/7257600], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 15091/19906560], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 5789/55296000], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 37997/870912000], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 1/1451520], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 1/622080], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 103/298598400], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 2071/1741824000], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 11/5806080], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 1/1290240], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 103/373248000], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 203/921600], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 115187/3919104000], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 19549/232243200], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 463/21772800], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 1027321/2786918400], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 767/9216000], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 347/38707200], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 4325/9289728], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 49/5184000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 7937/2612736000], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 53/10368000], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 438273931/3511517184000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 25189/290304000], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 479/33868800], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 19/14515200], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 4877/40642560], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 233/17418240], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 4213/622080000], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 923/8128512], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 29/1161216], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 1493/29030400], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/23224320], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 3617/232243200], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1/2073600], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 1/179200], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 59/1612800], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 7/2073600], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 116533/522547200], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 3799/104509440], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 839/8709120], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 131/3732480], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 59/2257920], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 43/9676800], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 113/36288000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 113/1161216000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 137/6270566400], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 31/120960], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 13/414720], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 1223/3686400], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 13/149299200], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 373/3096576], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 781/154828800], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 9127/580608000], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 29/580608], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 23/304819200], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 23/653184000], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 6277/9676800], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1001/74649600], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 5423/46448640], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 347/3317760], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 26737/116121600], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 46889/139345920], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 1121/25804800], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 313/41472000], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/40642560], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/17418240], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 47/4180377600], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 47/1161216000], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 23/348364800], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 23/870912000], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/108864000], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 9769/27648000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 8833/3135283200], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 9161/116121600], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 17/9072000], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 1150801/8360755200], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 209/2592000], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 2599/2612736000], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 10303/27869184], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 103/298598400], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 1/1935360], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 12595171/125411328000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 107/19353600], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 27037/1524096000], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 341/217728000], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 2957/8709120000], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 817/101606400], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 13/9676800], [[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 1/3870720], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 11/4838400], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 1/6220800], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 51221/2612736000], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 701/261273600], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 1537/217728000], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 743/508032000], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 1/4838400], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 7097/101606400], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 569/87091200], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 96721/1741824000], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 361/21772800], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 17/348364800], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 503/193536000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 97/8294400], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 5443/24883200], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 1523/2090188800], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 19399/597196800], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 757/116121600], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 66847/1045094400], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 21277/348364800], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 5623/580608000], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 13/20736000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 7373/29030400], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 1/12441600], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 4783/116121600], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 21421/696729600], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 10543/232243200], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 47/1741824000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 37183/232243200], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 1/87091200], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 23/1306368000], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 12697/199065600], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 649/76204800], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 11/17418240], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 10709/3483648000], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 23/27869184], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 41/193536000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 37/29030400], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 82261/2612736000], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 2077/522547200], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 42187/5225472000], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 361/99532800], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 3583/3483648000], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 1/48384000], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 159223/1741824000], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 263/21772800], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 9593/2786918400], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 24617/1741824000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 73999/2090188800], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 45373/1672151040], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 23/60963840], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/43545600], [[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 19/2903040000], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/19353600], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 1027/653184000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 103/597196800], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1937/5225472000], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 179/4354560000], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 14629/870912000], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 1963/1045094400], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 1/6967296], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 12343/5225472000], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 7733/2090188800], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 22733/3344302080], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 7823/5225472000], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 751/5225472000], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 5191/26127360000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1511/10450944000], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 7937/8360755200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 937/18289152000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 89/20901888000], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 689/104509440000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 1429/20901888000], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 331/167215104000], [[[2, 3], [6, 1], [10, 2], [14, 1], [18, 1]], 1/6300], [[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/75600], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 3]], 1/8000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [10, 2]], 1/1600], [[[1, 1], [2, 2], [4, 1], [5, 3], [8, 1], [10, 1]], 1/8000], [[[1, 1], [2, 4], [3, 1], [5, 1], [7, 1], [10, 2]], 1/12600], [[[1, 1], [2, 4], [3, 1], [5, 1], [9, 1], [10, 2]], 1/5400], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2400], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [14, 1]], 1/8400], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [10, 2]], 1/2400], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/8000], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 2]], 1/5880], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [14, 1]], 1/7200], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [18, 1]], 1/3600], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/129600], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/8400], [[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/33600], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/5040], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 31/96000], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 17/40320], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 1/9600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 61/345600], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/4536], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/2592], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/77760], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/7560], [[[1, 1], [2, 8], [3, 1], [5, 1], [7, 1], [10, 1]], 1/16934400], [[[1, 1], [2, 8], [3, 1], [5, 1], [9, 1], [10, 1]], 1/7257600], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 1/16800], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/129600], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 589/12096000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/60480], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 1/11520], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1/103680], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 197/604800], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 31/259200], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 287/3110400], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1/100800], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/100800], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/403200], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 17/72576000], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 3/358400], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1/4147200], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 307/6773760], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 71/14515200], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 767/29030400], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 1667/870912000], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 3]], 1/8000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [10, 2]], 1/1600], [[[1, 2], [2, 1], [4, 1], [5, 3], [8, 1], [10, 1]], 1/8000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 3]], 1/36000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 3]], 1/6000], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [10, 2]], 1/4200], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [10, 2]], 1/1800], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 2]], 23/36000], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [10, 1]], 1/48600], [[[1, 2], [2, 3], [3, 1], [5, 2], [10, 1], [14, 1]], 1/3150], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [10, 1]], 1/6000], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [14, 1]], 1/25200], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [10, 2]], 1/5400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 3]], 1/4000], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [14, 1]], 1/2800], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [14, 1]], 1/5600], [[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [14, 1]], 1/2800], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [10, 1]], 1/12000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/8000], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/5600], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 1/640], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/2688], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/1152], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [10, 2]], 1/2100], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 2], [2, 3], [5, 1], [6, 3], [7, 1], [10, 1]], 1/22680], [[[1, 2], [2, 3], [5, 1], [7, 1], [10, 1], [14, 1]], 1/1470], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 1/43200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 7/72000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/4800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/31104], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1/38880], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 7/129600], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/7200], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/3780], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/43200], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/18144], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1/7776], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/4032], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/8640], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/10800], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/12960], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 1/2880], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 37/32000], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 1/28800], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 1/24000], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 23/33600], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/2880], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 7/19200], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/12096], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/2592], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/77760], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/3200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/103680], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/1680], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/2304], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1536], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/4032], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/4480], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 7/17280], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/20736], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 5], [5, 1], [6, 2], [7, 1], [10, 1]], 1/8640], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 1/432000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 9/32000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 1/5184], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 41/155520], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 13/82944], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 3/16000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 11/51840], [[[1, 2], [2, 7], [3, 1], [5, 1], [7, 1], [10, 1]], 1/604800], [[[1, 2], [2, 7], [3, 1], [5, 1], [9, 1], [10, 1]], 1/259200], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 11/2268000], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 29/75600], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 11/129600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 1/181440], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 1/77760], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/17280], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/129600], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 31/288000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/67200], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 1/288000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/144000], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 21/64000], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 1/6048], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 3/8960], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 11/103680], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/896], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 7/10368], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 187/622080], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 23/201600], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 31/276480], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 23/230400], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 41/161280], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 1/69120], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 39/89600], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 31/345600], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 133/345600], [[[1, 2], [2, 7], [5, 1], [6, 1], [7, 1], [10, 1]], 11/1058400], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 11/100800], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 1/48384000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 179/10752000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 19/241920], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 1/103680], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 13/276480], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 109/518400], [[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 1/13547520], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/5806080], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 43/2903040], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 149/7257600], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 11/302400], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/58060800], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/20321280], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 1/8709120], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/14515200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 1/46080], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 37/5376000], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 17/161280], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1/207360], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 61/134400], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 7/103680], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 211/907200], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 53/4838400], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 1/12096], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 31/9676800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 1/230400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 6187/290304000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 13/99532800], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 479/1741824000], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 13/10752000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 13861/435456000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 7/66355200], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 997/1741824000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 3]], 1/12000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 2]], 1/6000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 1/8000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [10, 1]], 1/4000], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/2688], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/1152], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 3]], 1/6000], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 23/36000], [[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [10, 1]], 1/4200], [[[1, 3], [2, 2], [3, 1], [5, 2], [10, 1], [14, 1]], 1/2100], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [10, 1]], 1/6000], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 3], [6, 1]], 1/36000], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/57600], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [7, 1]], 1/25200], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [10, 1]], 1/5400], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [10, 2]], 1/48600], [[[1, 3], [2, 2], [3, 3], [5, 1], [10, 1], [14, 1]], 1/22680], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [10, 2]], 1/2800], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/5600], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [10, 1]], 1/2800], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 2]], 1/5600], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/640], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [10, 2]], 1/3150], [[[1, 3], [2, 2], [5, 1], [7, 1], [10, 1], [14, 1]], 1/1470], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [14, 1]], 1/4200], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [18, 1]], 1/1800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/8000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 1/27216], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/19200], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 7/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/4704], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1/76800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/1024], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/38400], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/16128], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1440], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/38880], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/8400], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 7/36000], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/11200], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 1/58320], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 1/9600], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/9600], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/18144], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/7776], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/2592], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 1/2592], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/3456], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1/4608], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/2880], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 37/116640], [[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 13/43200], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/3528], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 1/1512], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/7560], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/3240], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 1/6048], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/2592], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 1/6480], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 7/29160], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/2880], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 11/19200], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 1/28800], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 9/32000], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 7/38400], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 1/18144], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1176], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 3/6400], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/9600], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 1/4000], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 3/6400], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1280], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/46080], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 3/2560], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 1/1152], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/4320], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 11/144000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 1/43200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 1/54000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 23/28800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 5/12096], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/2592], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 5/31104], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 5/15552], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 7/18432], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 17/92160], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/24192], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 5/16128], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 1/6912], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 13/27648], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 13/34560], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 5/16128], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 7/13824], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 107/144000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 23/51840], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [10, 1]], 1/80640], [[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/34560], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 1/12000], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 17/30240], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/5184], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 7/155520], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/18144], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 1/7776], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 11/24192], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/10368], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/2160], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/48384], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 1/20736], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 41/82944], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 43/77760], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/12960], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/51840], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 1/1166400], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 47/57600], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 5/20736], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/25200], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1920], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/28800], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/14400], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 23/38400], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 1/4032], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/6912], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2304], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 5/20736], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1152], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 13/17280], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 13/41472], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 11/67200], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2560], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 59/76800], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 11/16128], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 71/80640], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 13/34560], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1152], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2880], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 41/46080], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 17/151200], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4032], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1728000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 203/1152000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 11/1270080], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 127/241920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 11/103680], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 157/414720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 523/518400], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/483840], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1/207360], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/172800], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/241920], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/103680], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 17/322560], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 41/138240], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 409/1382400], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 31/552960], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 31/460800], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 41/181440], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 97/604800], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 11/2721600], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2073600], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/725760], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 1/311040], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1/103680], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 19/172800], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/414720], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 13/4354560], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 79/276480], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 13/230400], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 11/846720], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 23/64512], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 13/414720], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 991/806400], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 91/345600], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 433/691200], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/115200], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 23/153600], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1600], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 23/435456000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 23/435456000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 23/304819200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 23/483840], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 827/11612160], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 15479/58060800], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/19353600], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 787/77414400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 61/3870720], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 841/124416000], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 23/653184000], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 1/11612160], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 563/19353600], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 3461/19353600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 3457/1393459200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 5161/435456000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 2]], 1/5880], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 2]], 1/2400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/8000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2400], [[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [10, 1]], 1/4200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [7, 1]], 1/7200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [9, 1]], 1/3600], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [7, 1]], 1/8400], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/129600], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/8400], [[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [14, 1]], 1/12600], [[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/5400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/67200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/8000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/4000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 3/6400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 3/6400], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/9600], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/38400], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/1024], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/76800], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 13/43200], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/11200], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/8400], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/3528], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [18, 1]], 1/1512], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/9600], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 7/38400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 1/9600], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/3024], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/2592], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/25920], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 7/57600], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/14400], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/2592], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/16128], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/6912], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1/4608], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 7/36000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 1/7560], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/3240], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 7/29160], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 1/6480], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/14400], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/43200], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/6048], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/2592], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/7776], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/3456], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 37/116640], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 1/27216], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/58320], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 1/38880], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 9/32000], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 11/19200], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1176], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/19200], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/2240], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/2240], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/4704], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 1/2016], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 3/2560], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/12096], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/38880], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 13/43200], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/9600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 11/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 23/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/5184], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/8064], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/5184], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 5/62208], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 1/7056], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 1/3024], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 11/155520], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/5040], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 7/51200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 13/6144], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 31/76800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 1/2688], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 1/10368], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 5/6912], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 125/248832], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 7/34560], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2016], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/2880], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/8064], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/3584], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/1024], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 13/46080], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/30720], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1536], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 19/28800], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 53/155520], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 67/144000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/1764], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/2520], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/8640], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 13/24192], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1458], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 5/48384], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 43/103680], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 1/4032], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 143/82944], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 7/11520], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 5/27648], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/34560], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/3780], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 113/97200], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/5184], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/311040], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 11/72576], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 7/23328], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 17/51840], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/77760], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/9216], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 49/466560], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/116640], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 17/19200], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 7/51840], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 11/40320], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2688], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1920], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/19200], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 11/36000], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 37/115200], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/3456], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 1/5376], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6912], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/17280], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 7/69120], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 13/20160], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 29/92160], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 31/19200], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2016], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 11/16128], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 5/6912], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/7680], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/7680], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 11/23040], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 11/25600], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/960], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4320], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 5/32256], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 1/69120], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/10368], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/76800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 203/460800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 11/90720], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 13/16128], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 5/20736], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 35/41472], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 43/34560], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/30240], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/12960], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 19/207360], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1/43200], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 53/864000], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 1/13440], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 1/10368], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1/1344], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 599/414720], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 379/276480], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 11/115200], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1/46080], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 47/61440], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 173/460800], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 553/1036800], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 11/100800], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4032], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/21600], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/129600], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 1/32256], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 1/13824], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 127/248832], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 89/172800], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/57600], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/64800], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 5/82944], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 7/57600], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 8599/108864000], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1/933120], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/32400], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 41/69120], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 121/576000], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 17/120960], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 5/10752], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 9/8960], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 11/34560], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 23/34560], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 331/460800], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 7/4608], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 13/1451520], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1/645120], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 11/7257600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 5/1016064], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1/155520], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 23/107520], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 557/1451520], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 1321/1382400], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 13/2903040], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 947/5806080], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 41/153600], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 673/12902400], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/967680], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 13/3483648], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 23/4838400], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 1997/9676800], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 301/691200], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 137/1741824000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 31001/1393459200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 3341/38707200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 23/33600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 7/72000], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1536], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/2304], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/3200], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/4032], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/7200], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/10800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 7/19200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/2880], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 1/28800], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/4480], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 7/17280], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/4032], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/8064], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 7/129600], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/8640], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1600], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/5040], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/2592], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/4800], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/43200], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/18144], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 1/7776], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 1/12096], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 1/5184], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/8640], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/20736], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/103680], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/3780], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/12960], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/77760], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/31104], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/38880], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 1/24000], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/43200], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 37/32000], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/3360], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/1680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/116640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 11/36000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 37/115200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 17/19200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 11/72576], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/19200], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/3360], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 31/76800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 13/6144], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 7/51200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/1728], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 1/4032], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 1/1728], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 11/16128], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 5/6912], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2016], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/34560], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/960], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 11/25600], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/3584], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/8064], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 5/27648], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1536], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/30720], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 67/144000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/5040], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/2160], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 49/466560], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 5/32256], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/4320], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 19/28800], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 1/1764], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/3780], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 17/51840], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/40320], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 23/57600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/9600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/1728], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 13/24192], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/1728], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 7/23328], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/5184], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 1/5376], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 7/11520], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 11/23040], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 29/92160], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 1/2304], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 5/6912], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1/2688], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 1/10368], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 143/82944], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 43/103680], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 13/46080], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/1024], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/5760], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/5040], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/2520], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 113/97200], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/1728], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 7/69120], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 7/51840], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/8064], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 1/5184], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/5184], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1458], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 7/34560], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 125/248832], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 11/155520], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 53/155520], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/17280], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 5/62208], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/38880], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 11/57600], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/77760], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/311040], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 1/4480], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1920], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 13/20160], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 11/40320], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 13/43200], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 1/7056], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 1/3024], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/48384], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2688], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/2880], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 31/19200], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2016], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/2304], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 41/233280], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 1/7560], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 11/102400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 53/153600], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 5/9072], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 89/193536], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 41/82944], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 151/248832], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 13/34560], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/32256], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 1/8064], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 1/4320], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 17/34560], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/4608], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 119/276480], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 19/32256], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 7/20736], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 71/64512], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 91/41472], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 23/18432], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 13/34560], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 131/276480], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 157/55296], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 77/92160], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/4032], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 4061/6220800], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 11/25200], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/64800], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/8960], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 67/103680], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 17/259200], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 11/48384], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 11/20736], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 1/1728], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 439/248832], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 113/103680], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/9600], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 5/18432], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 65/82944], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 101/207360], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1357/3110400], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 169/1492992], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 11/86400], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 17/103680], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 647/1658880], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1183/2304000], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 1/3456], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 37/161280], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 7/69120], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 23/322560], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 7/138240], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 67/276480], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 409/460800], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 7/5760], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 17/145152], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/76800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 217/5184000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 113/1451520], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 1/15552], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 253/483840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 347/414720], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 1919/1382400], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 13/691200], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 11/138240], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 791/829440], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 143/153600], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 359701/1741824000], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 1/41472], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 611/17418240], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 119/1036800], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/18144], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 13399/29030400], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1381/2764800], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 11131/2612736000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 2999/30965760], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 61/204800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 17/40320], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/9600], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/7560], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/33600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 61/345600], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/4536], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/2592], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/24192], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/5040], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/77760], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 31/96000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 23/38400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 47/57600], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 1/4032], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/28800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/51840], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 71/80640], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 13/34560], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 17/92160], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 7/18432], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/48384], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 1/20736], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 11/16128], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 1/6912], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 41/46080], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/2880], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 5/16128], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 1/12000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/6480], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/1166400], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 1/4032], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 17/151200], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 107/144000], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/12960], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1152], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 13/17280], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 23/28800], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/43200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 11/24192], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/18144], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/7776], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/2304], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 5/20736], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/6912], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/5760], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/1152], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/2560], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 5/16128], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 1/6912], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/24192], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/10368], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 41/82944], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/5760], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 7/13824], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 17/30240], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 1/5184], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 43/77760], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/2160], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 13/41472], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 5/20736], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 5/12096], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/2592], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/10368], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/10368], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 7/155520], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 13/34560], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 13/27648], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 23/51840], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 5/15552], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 5/31104], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 1/54000], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/3360], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1920], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 11/67200], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/25200], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 11/144000], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 59/76800], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [14, 1]], 1/80640], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/34560], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 11/86400], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 23/322560], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 7/138240], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/5040], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 53/153600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 11/102400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/1728], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 11/48384], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 11/20736], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 169/1492992], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 37/161280], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 7/69120], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1/3456], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 101/207360], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 7/5760], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 409/460800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 71/64512], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 19/32256], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 7/20736], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 65/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 5/18432], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 1/2880], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 77/92160], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 157/55296], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 131/276480], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/8960], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 11/25200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/64800], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1357/3110400], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/4032], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 113/103680], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 67/276480], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 647/1658880], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 89/193536], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 41/82944], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 5/9072], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/15552], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 439/248832], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 67/103680], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 17/103680], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 23/18432], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 91/41472], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 17/34560], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 4061/6220800], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 13/34560], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 151/248832], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 41/233280], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1/4320], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/9600], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 17/259200], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1183/2304000], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/7560], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 13/34560], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 119/276480], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/4608], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 331/864000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 109/2764800], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 1819/8294400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 1/2160], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 1/8640], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 281/387072], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 3737/4976640], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 479/552960], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 1/9600], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 5429/8294400], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 7493/3317760], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 383/307200], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 760447/1741824000], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 377/1658880], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 1139/4976640], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 121/259200], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 9/64000], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 3703/8294400], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 7/28800], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 10247/193536000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 32461/139345920], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 3031/5529600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/144000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 21/64000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 31/288000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/6048], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 1/288000], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 39/89600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 31/345600], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 41/161280], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1/69120], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 11/2268000], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 11/100800], [[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 11/1058400], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 3/16000], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/896], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 7/10368], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 9/32000], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 1/432000], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 1/181440], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 1/77760], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 3/8960], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 11/103680], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 133/345600], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 31/276480], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 29/75600], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 11/129600], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/129600], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 187/622080], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/3456], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/5184], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 13/82944], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 11/51840], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 41/155520], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/20736], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 23/201600], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/67200], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 23/230400], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/604800], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/259200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/32400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 9/8960], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 11/34560], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 203/460800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/76800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 1/32256], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 1/13824], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 1/933120], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 5/10752], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 1/13824], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 17/120960], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 7/57600], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 7/4608], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 331/460800], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1/1344], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 1/13440], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1/10368], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 5/82944], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/64800], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 173/460800], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 47/61440], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1/46080], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4032], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 11/100800], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 8599/108864000], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 89/172800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 23/34560], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 41/69120], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 13/16128], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 5/20736], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 11/90720], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/15552], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 127/248832], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/21600], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/17280], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 379/276480], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 599/414720], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 19/207360], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 553/1036800], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 43/34560], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 35/41472], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/10368], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/30240], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/12960], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/57600], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/129600], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 121/576000], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 11/115200], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 53/864000], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/43200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 121/259200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 7/28800], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 3703/8294400], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 281/387072], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 1/2160], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 1/8640], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 1139/4976640], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 377/1658880], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 9/64000], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 383/307200], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 7493/3317760], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 5429/8294400], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 760447/1741824000], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 479/552960], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 3737/4976640], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 331/864000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 1/9600], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1819/8294400], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 109/2764800], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 23519/82944000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 239891/696729600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 9503/16588800], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 589/12096000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/60480], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/100800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 197/604800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 31/259200], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/11520], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/103680], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/16800], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/129600], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 287/3110400], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/100800], [[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16934400], [[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/7257600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 991/806400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 91/345600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 203/1152000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1728000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/725760], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 1/311040], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 23/64512], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 13/414720], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 11/846720], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1600], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 23/153600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 17/322560], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/241920], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/103680], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/414720], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/115200], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 31/460800], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 31/552960], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 97/604800], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 13/4354560], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 19/172800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 433/691200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 79/276480], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 127/241920], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 11/103680], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 11/1270080], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1/103680], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 11/2721600], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 409/1382400], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 41/138240], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/172800], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 41/181440], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 523/518400], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 157/414720], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2073600], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 13/230400], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/483840], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/207360], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 119/1036800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1381/2764800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 13399/29030400], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 253/483840], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 113/1451520], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 1/15552], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 611/17418240], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 1/41472], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 1/18144], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 143/153600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 791/829440], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 11/138240], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 359701/1741824000], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1919/1382400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 347/414720], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 17/145152], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 13/691200], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 217/5184000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 9503/16588800], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 239891/696729600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 23519/82944000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 61/134400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 7/103680], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 179/10752000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/48384000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/20321280], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/8709120], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 17/161280], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1/207360], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 1/12096], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 53/4838400], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 11/302400], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/14515200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 211/907200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 1/46080], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 19/241920], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 1/103680], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 43/2903040], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 149/7257600], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 109/518400], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 13/276480], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/58060800], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 37/5376000], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/13547520], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5806080], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 301/691200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 1997/9676800], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 23/107520], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 5/1016064], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1/155520], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 13/3483648], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/967680], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 23/4838400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 41/153600], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 947/5806080], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 13/2903040], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 673/12902400], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1321/1382400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 557/1451520], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 13/1451520], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 11/7257600], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/645120], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 3031/5529600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 32461/139345920], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 10247/193536000], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 307/6773760], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 71/14515200], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 3/358400], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/4147200], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/403200], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 767/29030400], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 17/72576000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 3461/19353600], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 563/19353600], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 23/483840], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 23/304819200], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/11612160], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 23/653184000], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 61/3870720], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 787/77414400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/19353600], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 841/124416000], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 15479/58060800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 827/11612160], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 23/435456000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 23/435456000], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 61/204800], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 2999/30965760], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 11131/2612736000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 13861/435456000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 13/10752000], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 31/9676800], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 13/99532800], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 479/1741824000], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 6187/290304000], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1/230400], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 3341/38707200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 31001/1393459200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 137/1741824000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 1667/870912000], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 5161/435456000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 3457/1393459200], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 997/1741824000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 7/66355200], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 2]], 1/6300], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 2]], 1/2700], [[[1, 1], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [14, 1]], 1/2940], [[[1, 1], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1], [14, 1]], 1/1260], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [14, 1]], 1/16800], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/7200], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/2400], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/1200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/25920], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/672], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2520], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/4320], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/5760], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/151200], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/64800], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/69120], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 41/201600], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/86400], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/57600], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/37800], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/6451200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/16800], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/7200], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1], [14, 1]], 1/6300], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/2700], [[[1, 2], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/2940], [[[1, 2], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/1260], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/8400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/18000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/16800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/14400], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2352], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/1008], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/1728], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/21600], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/3528], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/1512], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/7560], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/3240], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/1600], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/12000], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5760], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/36000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/115200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/5184], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/10080], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/4320], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/1920], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1152], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1920], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/20160], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 7/12960], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/1920], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/20160], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1152], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/120960], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/51840], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/12600], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 37/345600], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/38400], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/518400], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/38400], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/230400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/1382400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/12000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/16800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/8400], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/3528], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/1512], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/2520], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/18000], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/7560], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/3240], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/10080], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4320], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/14400], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/1728], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/6480], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2352], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/1008], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1440], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/38880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 13/155520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/38400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 37/54000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1764], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/19200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/2520], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/5184], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/864], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 7/11520], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/5120], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2240], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1440], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/3780], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/32400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/1728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2520], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5760], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/23040], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/1680], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 19/19200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/103680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 103/103680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/144000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/12096], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 11/100800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 13/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 71/69120], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 367/460800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 49/57600], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 257/2592000], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 71/115200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 11/1814400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 299/2903040], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 73/345600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/2520], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/10080], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4320], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/15120], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/6480], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/25920], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/672], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 37/54000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/5040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/2160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/1680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2520], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/19200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1764], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/38400], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/3780], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/1728], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/4320], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 19/19200], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1344], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/4032], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1728], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/5120], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/5040], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2520], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/32400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/864], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 7/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/57600], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/8640], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 13/155520], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/38880], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3360], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/1440], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2880], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/2520], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 11/20160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 137/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/23040], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1792], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/2016], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 13/8064], [[[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], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 31/23040], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/17280], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 95/55296], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 13/7680], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/69120], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 89/103680], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2304], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 9/12800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/14400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 18949/20736000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 221/230400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/36000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/6480], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/20160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/115200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1152], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1152], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/20160], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/15120], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/6480], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2520], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4320], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 7/12960], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1920], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/8640], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/10080], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/4320], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2016], [[[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]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 89/103680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 9/12800], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 13/8064], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 11/20160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1792], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 23/69120], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/7680], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 95/55296], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 13/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 31/23040], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 137/103680], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/23040], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 41/92160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 74111/41472000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 29/23040], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 41/201600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/86400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/151200], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/64800], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 19/69120], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2520], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 11/100800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 257/2592000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 71/115200], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 13/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 49/57600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 367/460800], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 71/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 103/103680], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/103680], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/144000], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 29/23040], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 74111/41472000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 41/92160], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/12600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/518400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/38400], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/120960], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/51840], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/38400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 37/345600], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 221/230400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 18949/20736000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/14400], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/37800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 73/345600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 299/2903040], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 11/1814400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/1382400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/230400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/6451200], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1440], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/5040], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1280], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/23040], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/5040], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5040], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2160], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1280], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 287/115200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 287/115200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/23040] ]}