{[ [[[1, 25]], 1/100682220699648000], [[[2, 25]], 1/100682220699648000], [[[1, 1], [2, 24]], 1/958878292377600], [[[1, 2], [2, 23]], 391/8390185058304000], [[[1, 3], [2, 22]], 29497/25170555174912000], [[[1, 4], [2, 21]], 16607/898948399104000], [[[1, 5], [2, 20]], 5771/29964946636800], [[[1, 6], [2, 19]], 982463/719158719283200], [[[1, 7], [2, 18]], 24057911/3595793596416000], [[[1, 7], [7, 3]], 1/65856], [[[1, 8], [2, 17]], 873071/38355131695104], [[[1, 9], [2, 16]], 155213117/2876634877132800], [[[1, 10], [2, 15]], 2576981/28538044416000], [[[1, 11], [2, 14]], 67284233/599298932736000], [[[1, 11], [3, 7]], 1/2239488], [[[1, 12], [2, 13]], 496759/4280706662400], [[[1, 13], [2, 12]], 496759/4280706662400], [[[1, 13], [3, 6]], 31/179159040], [[[1, 13], [5, 3]], 1/6912000], [[[1, 13], [7, 2]], 17/3034644480], [[[1, 14], [2, 11]], 67284233/599298932736000], [[[1, 15], [2, 10]], 2576981/28538044416000], [[[1, 15], [3, 5]], 107/4180377600], [[[1, 16], [2, 9]], 155213117/2876634877132800], [[[1, 17], [2, 8]], 873071/38355131695104], [[[1, 17], [3, 4]], 103/57330892800], [[[1, 17], [5, 2]], 13/55738368000], [[[1, 18], [2, 7]], 24057911/3595793596416000], [[[1, 19], [2, 6]], 982463/719158719283200], [[[1, 19], [3, 3]], 211/3511517184000], [[[1, 19], [7, 1]], 1/1747955220480], [[[1, 20], [2, 5]], 5771/29964946636800], [[[1, 21], [2, 4]], 16607/898948399104000], [[[1, 21], [3, 2]], 1/1170505728000], [[[1, 21], [4, 2]], 1/239719573094400], [[[1, 21], [5, 1]], 1/9364045824000], [[[1, 22], [2, 3]], 29497/25170555174912000], [[[1, 23], [2, 2]], 391/8390185058304000], [[[1, 23], [3, 1]], 1/196644962304000], [[[1, 24], [2, 1]], 1/958878292377600], [[[2, 7], [14, 3]], 1/65856], [[[2, 11], [6, 7]], 1/2239488], [[[2, 13], [6, 6]], 31/179159040], [[[2, 13], [10, 3]], 1/6912000], [[[2, 13], [14, 2]], 17/3034644480], [[[2, 15], [6, 5]], 107/4180377600], [[[2, 17], [6, 4]], 103/57330892800], [[[2, 17], [10, 2]], 13/55738368000], [[[2, 19], [6, 3]], 211/3511517184000], [[[2, 19], [14, 1]], 1/1747955220480], [[[2, 21], [4, 2]], 1/239719573094400], [[[2, 21], [6, 2]], 1/1170505728000], [[[2, 21], [10, 1]], 1/9364045824000], [[[2, 23], [6, 1]], 1/196644962304000], [[[1, 1], [2, 6], [14, 3]], 1/9408], [[[1, 1], [2, 10], [6, 7]], 1/746496], [[[1, 1], [2, 12], [6, 6]], 119/59719680], [[[1, 1], [2, 12], [10, 3]], 1/460800], [[[1, 1], [2, 12], [14, 2]], 29/144506880], [[[1, 1], [2, 14], [6, 5]], 739/1393459200], [[[1, 1], [2, 16], [6, 4]], 7453/133772083200], [[[1, 1], [2, 16], [10, 2]], 107/11147673600], [[[1, 1], [2, 18], [4, 3]], 53/14982473318400], [[[1, 1], [2, 18], [6, 3]], 12209/4682022912000], [[[1, 1], [2, 18], [14, 1]], 47/1248539443200], [[[1, 1], [2, 20], [4, 2]], 23/79906524364800], [[[1, 1], [2, 20], [6, 2]], 1289/24970788864000], [[[1, 1], [2, 20], [8, 1]], 1/19976631091200], [[[1, 1], [2, 20], [10, 1]], 11/1498247331840], [[[1, 1], [2, 22], [4, 1]], 19/699182088192000], [[[1, 1], [2, 22], [6, 1]], 43/104877313228800], [[[1, 2], [2, 5], [14, 3]], 3/21952], [[[1, 2], [2, 7], [4, 8]], 1/12582912], [[[1, 2], [2, 9], [6, 7]], 1/746496], [[[1, 2], [2, 11], [4, 6]], 1/251658240], [[[1, 2], [2, 11], [6, 6]], 367/59719680], [[[1, 2], [2, 11], [10, 3]], 29/2304000], [[[1, 2], [2, 11], [14, 2]], 923/379330560], [[[1, 2], [2, 13], [6, 5]], 1061/278691840], [[[1, 2], [2, 15], [4, 4]], 191/246625075200], [[[1, 2], [2, 15], [6, 4]], 3553/5350883328], [[[1, 2], [2, 15], [10, 2]], 391/2654208000], [[[1, 2], [2, 17], [4, 3]], 17/101921587200], [[[1, 2], [2, 17], [6, 3]], 53491/1170505728000], [[[1, 2], [2, 17], [14, 1]], 4373/4369888051200], [[[1, 2], [2, 19], [3, 2]], 1/22473709977600], [[[1, 2], [2, 19], [4, 2]], 139/5327101624320], [[[1, 2], [2, 19], [5, 1]], 1/6242697216000], [[[1, 2], [2, 19], [6, 2]], 913/713451110400], [[[1, 2], [2, 19], [8, 1]], 13/3995326218240], [[[1, 2], [2, 19], [10, 1]], 7753/37456183296000], [[[1, 2], [2, 21], [3, 1]], 1/89894839910400], [[[1, 2], [2, 21], [4, 1]], 263/131096641536000], [[[1, 2], [2, 21], [6, 1]], 2077/149824733184000], [[[1, 3], [2, 4], [14, 3]], 1/21952], [[[1, 3], [2, 6], [4, 8]], 1/12582912], [[[1, 3], [2, 8], [4, 7]], 5/3538944], [[[1, 3], [2, 8], [6, 7]], 1/2239488], [[[1, 3], [2, 10], [4, 6]], 7/83886080], [[[1, 3], [2, 10], [6, 6]], 287/35831808], [[[1, 3], [2, 10], [10, 3]], 253/6912000], [[[1, 3], [2, 10], [14, 2]], 1627/126443520], [[[1, 3], [2, 12], [4, 5]], 137/5945425920], [[[1, 3], [2, 12], [6, 5]], 3277/278691840], [[[1, 3], [2, 14], [4, 4]], 399127/19976631091200], [[[1, 3], [2, 14], [6, 4]], 1555549/401316249600], [[[1, 3], [2, 14], [10, 2]], 21083/18579456000], [[[1, 3], [2, 16], [4, 3]], 53/7927234560], [[[1, 3], [2, 16], [6, 3]], 421121/1003290624000], [[[1, 3], [2, 16], [14, 1]], 12241/873977610240], [[[1, 3], [2, 18], [3, 2]], 1/356725555200], [[[1, 3], [2, 18], [4, 2]], 241771/239719573094400], [[[1, 3], [2, 18], [5, 1]], 1/99090432000], [[[1, 3], [2, 18], [6, 2]], 107029/6242697216000], [[[1, 3], [2, 18], [8, 1]], 53/611529523200], [[[1, 3], [2, 18], [10, 1]], 4903/1560674304000], [[[1, 3], [2, 20], [3, 1]], 23/29964946636800], [[[1, 3], [2, 20], [4, 1]], 1231/19976631091200], [[[1, 3], [2, 20], [6, 1]], 116437/449474199552000], [[[1, 4], [2, 3], [7, 3]], 1/21952], [[[1, 4], [2, 5], [4, 8]], 1/2359296], [[[1, 4], [2, 7], [4, 7]], 41/14155776], [[[1, 4], [2, 9], [4, 6]], 4219/792723456], [[[1, 4], [2, 9], [6, 6]], 181/35831808], [[[1, 4], [2, 9], [7, 2]], 1/144506880], [[[1, 4], [2, 9], [10, 3]], 133/2304000], [[[1, 4], [2, 9], [14, 2]], 6751/216760320], [[[1, 4], [2, 11], [4, 5]], 6037/11890851840], [[[1, 4], [2, 11], [6, 5]], 727/39813120], [[[1, 4], [2, 13], [4, 4]], 81899/285380444160], [[[1, 4], [2, 13], [6, 4]], 802439/66886041600], [[[1, 4], [2, 13], [10, 2]], 137161/27869184000], [[[1, 4], [2, 15], [4, 3]], 947767/7491236659200], [[[1, 4], [2, 15], [6, 3]], 177071/80263249920], [[[1, 4], [2, 15], [14, 1]], 28333/249707888640], [[[1, 4], [2, 17], [3, 2]], 107/1498247331840], [[[1, 4], [2, 17], [4, 2]], 54641/2959500902400], [[[1, 4], [2, 17], [5, 1]], 107/416179814400], [[[1, 4], [2, 17], [6, 2]], 47599/346816512000], [[[1, 4], [2, 17], [8, 1]], 1769/1426902220800], [[[1, 4], [2, 17], [10, 1]], 16679/585252864000], [[[1, 4], [2, 19], [3, 1]], 31/1404606873600], [[[1, 4], [2, 19], [4, 1]], 17257/16647192576000], [[[1, 4], [2, 19], [6, 1]], 3181/1070176665600], [[[1, 5], [2, 2], [7, 3]], 3/21952], [[[1, 5], [2, 4], [4, 8]], 1/2359296], [[[1, 5], [2, 6], [4, 7]], 11/1179648], [[[1, 5], [2, 8], [4, 6]], 94609/3963617280], [[[1, 5], [2, 8], [6, 6]], 7/3981312], [[[1, 5], [2, 8], [7, 2]], 11/48168960], [[[1, 5], [2, 8], [10, 3]], 23/460800], [[[1, 5], [2, 8], [14, 2]], 7447/216760320], [[[1, 5], [2, 10], [4, 5]], 48163/3963617280], [[[1, 5], [2, 10], [6, 5]], 373/23887872], [[[1, 5], [2, 12], [4, 4]], 4029551/1426902220800], [[[1, 5], [2, 12], [6, 4]], 1405417/66886041600], [[[1, 5], [2, 12], [10, 2]], 2831/222953472], [[[1, 5], [2, 14], [4, 3]], 220781/178362777600], [[[1, 5], [2, 14], [6, 3]], 18457/2675441664], [[[1, 5], [2, 14], [14, 1]], 689533/1248539443200], [[[1, 5], [2, 16], [3, 2]], 4307/4494741995520], [[[1, 5], [2, 16], [4, 2]], 4958941/26635508121600], [[[1, 5], [2, 16], [5, 1]], 4307/1248539443200], [[[1, 5], [2, 16], [6, 2]], 51415823/74912366592000], [[[1, 5], [2, 16], [8, 1]], 70213/6658877030400], [[[1, 5], [2, 16], [10, 1]], 1217999/7491236659200], [[[1, 5], [2, 18], [3, 1]], 7807/22473709977600], [[[1, 5], [2, 18], [4, 1]], 635743/59929893273600], [[[1, 5], [2, 18], [6, 1]], 1649621/74912366592000], [[[1, 5], [3, 1], [7, 3]], 1/8232], [[[1, 5], [4, 6], [8, 2]], 1/786432], [[[1, 6], [2, 1], [7, 3]], 1/9408], [[[1, 6], [2, 3], [4, 8]], 1/12582912], [[[1, 6], [2, 5], [4, 7]], 11/1179648], [[[1, 6], [2, 7], [3, 6]], 1/35831808], [[[1, 6], [2, 7], [4, 6]], 65309/1132462080], [[[1, 6], [2, 7], [5, 3]], 1/256000], [[[1, 6], [2, 7], [6, 6]], 5/11943936], [[[1, 6], [2, 7], [7, 2]], 97/27095040], [[[1, 6], [2, 7], [10, 3]], 17/768000], [[[1, 6], [2, 7], [14, 2]], 233/13547520], [[[1, 6], [2, 9], [3, 5]], 1/89579520], [[[1, 6], [2, 9], [4, 5]], 13349/188743680], [[[1, 6], [2, 9], [6, 5]], 2821/358318080], [[[1, 6], [2, 11], [3, 4]], 1/3822059520], [[[1, 6], [2, 11], [4, 4]], 599783/27179089920], [[[1, 6], [2, 11], [5, 2]], 1/294912000], [[[1, 6], [2, 11], [6, 4]], 4378643/200658124800], [[[1, 6], [2, 11], [10, 2]], 555203/27869184000], [[[1, 6], [2, 13], [4, 3]], 19427/2786918400], [[[1, 6], [2, 13], [6, 3]], 6631301/501645312000], [[[1, 6], [2, 13], [7, 1]], 1/3963617280], [[[1, 6], [2, 13], [14, 1]], 169739/104044953600], [[[1, 6], [2, 15], [3, 2]], 3977/535088332800], [[[1, 6], [2, 15], [4, 2]], 7789/6967296000], [[[1, 6], [2, 15], [5, 1]], 3977/148635648000], [[[1, 6], [2, 15], [6, 2]], 10052371/4586471424000], [[[1, 6], [2, 15], [8, 1]], 669209/11985978654720], [[[1, 6], [2, 15], [10, 1]], 1069049/1783627776000], [[[1, 6], [2, 17], [3, 1]], 99283/29964946636800], [[[1, 6], [2, 17], [4, 1]], 43307/624269721600], [[[1, 6], [2, 17], [6, 1]], 9709423/89894839910400], [[[1, 7], [2, 2], [4, 8]], 1/12582912], [[[1, 7], [2, 4], [4, 7]], 41/14155776], [[[1, 7], [2, 6], [3, 6]], 5/11943936], [[[1, 7], [2, 6], [4, 6]], 65309/1132462080], [[[1, 7], [2, 6], [5, 3]], 17/768000], [[[1, 7], [2, 6], [6, 6]], 1/35831808], [[[1, 7], [2, 6], [7, 2]], 233/13547520], [[[1, 7], [2, 6], [10, 3]], 1/256000], [[[1, 7], [2, 6], [14, 2]], 97/27095040], [[[1, 7], [2, 8], [3, 5]], 17/59719680], [[[1, 7], [2, 8], [4, 5]], 87001/566231040], [[[1, 7], [2, 8], [6, 5]], 31/13271040], [[[1, 7], [2, 10], [3, 4]], 61/1274019840], [[[1, 7], [2, 10], [4, 4]], 4355753/45298483200], [[[1, 7], [2, 10], [5, 2]], 281/884736000], [[[1, 7], [2, 10], [6, 4]], 43667/3185049600], [[[1, 7], [2, 10], [10, 2]], 75263/3981312000], [[[1, 7], [2, 12], [3, 3]], 11/3822059520], [[[1, 7], [2, 12], [4, 3]], 362521/14269022208], [[[1, 7], [2, 12], [6, 3]], 496031/31352832000], [[[1, 7], [2, 12], [7, 1]], 37/3963617280], [[[1, 7], [2, 12], [14, 1]], 181813/62426972160], [[[1, 7], [2, 14], [3, 2]], 10547/305764761600], [[[1, 7], [2, 14], [4, 2]], 208739959/49941577728000], [[[1, 7], [2, 14], [5, 1]], 10547/84934656000], [[[1, 7], [2, 14], [6, 2]], 504929/111476736000], [[[1, 7], [2, 14], [8, 1]], 539011/2853804441600], [[[1, 7], [2, 14], [10, 1]], 967969/668860416000], [[[1, 7], [2, 16], [3, 1]], 1797841/89894839910400], [[[1, 7], [2, 16], [4, 1]], 29640889/99883155456000], [[[1, 7], [2, 16], [6, 1]], 17731597/49941577728000], [[[1, 7], [3, 3], [5, 3]], 1/216000], [[[1, 7], [3, 3], [7, 2]], 5/84672], [[[1, 7], [3, 5], [5, 2]], 1/388800], [[[1, 7], [4, 3], [8, 3]], 1/393216], [[[1, 8], [2, 3], [3, 7]], 1/2239488], [[[1, 8], [2, 3], [4, 7]], 5/3538944], [[[1, 8], [2, 5], [3, 6]], 7/3981312], [[[1, 8], [2, 5], [4, 6]], 94609/3963617280], [[[1, 8], [2, 5], [5, 3]], 23/460800], [[[1, 8], [2, 5], [7, 2]], 7447/216760320], [[[1, 8], [2, 5], [14, 2]], 11/48168960], [[[1, 8], [2, 7], [3, 5]], 31/13271040], [[[1, 8], [2, 7], [4, 5]], 87001/566231040], [[[1, 8], [2, 7], [6, 5]], 17/59719680], [[[1, 8], [2, 9], [3, 4]], 9617/11466178560], [[[1, 8], [2, 9], [4, 4]], 9153323/47563407360], [[[1, 8], [2, 9], [5, 2]], 1547/530841600], [[[1, 8], [2, 9], [6, 4]], 94801/19110297600], [[[1, 8], [2, 9], [10, 2]], 5497/530841600], [[[1, 8], [2, 11], [3, 3]], 199/1911029760], [[[1, 8], [2, 11], [4, 3]], 846449/13212057600], [[[1, 8], [2, 11], [6, 3]], 112679/9555148800], [[[1, 8], [2, 11], [7, 1]], 5717/41617981440], [[[1, 8], [2, 11], [14, 1]], 786977/249707888640], [[[1, 8], [2, 13], [3, 2]], 6193/61152952320], [[[1, 8], [2, 13], [4, 2]], 11798749/1141521776640], [[[1, 8], [2, 13], [5, 1]], 8467/23781703680], [[[1, 8], [2, 13], [6, 2]], 32612639/5350883328000], [[[1, 8], [2, 13], [8, 1]], 1197907/2853804441600], [[[1, 8], [2, 13], [10, 1]], 176827/76441190400], [[[1, 8], [2, 15], [3, 1]], 2327393/29964946636800], [[[1, 8], [2, 15], [4, 1]], 252554249/299649466368000], [[[1, 8], [2, 15], [6, 1]], 3368551/4280706662400], [[[1, 9], [2, 2], [3, 7]], 1/746496], [[[1, 9], [2, 4], [3, 6]], 181/35831808], [[[1, 9], [2, 4], [4, 6]], 4219/792723456], [[[1, 9], [2, 4], [5, 3]], 133/2304000], [[[1, 9], [2, 4], [7, 2]], 6751/216760320], [[[1, 9], [2, 4], [14, 2]], 1/144506880], [[[1, 9], [2, 6], [3, 5]], 2821/358318080], [[[1, 9], [2, 6], [4, 5]], 13349/188743680], [[[1, 9], [2, 6], [6, 5]], 1/89579520], [[[1, 9], [2, 8], [3, 4]], 94801/19110297600], [[[1, 9], [2, 8], [4, 4]], 9153323/47563407360], [[[1, 9], [2, 8], [5, 2]], 5497/530841600], [[[1, 9], [2, 8], [6, 4]], 9617/11466178560], [[[1, 9], [2, 8], [10, 2]], 1547/530841600], [[[1, 9], [2, 10], [3, 3]], 919/796262400], [[[1, 9], [2, 10], [4, 3]], 414101/3963617280], [[[1, 9], [2, 10], [6, 3]], 2076577/401316249600], [[[1, 9], [2, 10], [7, 1]], 23647/29727129600], [[[1, 9], [2, 10], [14, 1]], 173623/83235962880], [[[1, 9], [2, 12], [3, 2]], 9521/35672555520], [[[1, 9], [2, 12], [4, 2]], 75722803/4076863488000], [[[1, 9], [2, 12], [5, 1]], 20663/29727129600], [[[1, 9], [2, 12], [6, 2]], 170283859/32105299968000], [[[1, 9], [2, 12], [8, 1]], 369839/570760888320], [[[1, 9], [2, 12], [10, 1]], 42443/16986931200], [[[1, 9], [2, 14], [3, 1]], 5927647/29964946636800], [[[1, 9], [2, 14], [4, 1]], 70347019/42807066624000], [[[1, 9], [2, 14], [6, 1]], 76014863/64210599936000], [[[1, 9], [3, 2], [5, 3]], 1/192000], [[[1, 9], [3, 2], [7, 2]], 29/2257920], [[[1, 9], [3, 4], [5, 2]], 43/6220800], [[[1, 9], [3, 5], [7, 1]], 1/108864], [[[1, 9], [3, 6], [4, 2]], 1/2985984], [[[1, 9], [3, 6], [5, 1]], 1/466560], [[[1, 9], [4, 2], [7, 2]], 1/7225344], [[[1, 9], [4, 4], [8, 2]], 1/15728640], [[[1, 9], [5, 1], [7, 2]], 11/1128960], [[[1, 10], [2, 1], [3, 7]], 1/746496], [[[1, 10], [2, 3], [3, 6]], 287/35831808], [[[1, 10], [2, 3], [4, 6]], 7/83886080], [[[1, 10], [2, 3], [5, 3]], 253/6912000], [[[1, 10], [2, 3], [7, 2]], 1627/126443520], [[[1, 10], [2, 5], [3, 5]], 373/23887872], [[[1, 10], [2, 5], [4, 5]], 48163/3963617280], [[[1, 10], [2, 7], [3, 4]], 43667/3185049600], [[[1, 10], [2, 7], [4, 4]], 4355753/45298483200], [[[1, 10], [2, 7], [5, 2]], 75263/3981312000], [[[1, 10], [2, 7], [6, 4]], 61/1274019840], [[[1, 10], [2, 7], [10, 2]], 281/884736000], [[[1, 10], [2, 9], [3, 3]], 2076577/401316249600], [[[1, 10], [2, 9], [4, 3]], 414101/3963617280], [[[1, 10], [2, 9], [6, 3]], 919/796262400], [[[1, 10], [2, 9], [7, 1]], 173623/83235962880], [[[1, 10], [2, 9], [14, 1]], 23647/29727129600], [[[1, 10], [2, 11], [3, 2]], 340589/356725555200], [[[1, 10], [2, 11], [4, 2]], 15956027/634178764800], [[[1, 10], [2, 11], [5, 1]], 1035187/891813888000], [[[1, 10], [2, 11], [6, 2]], 2049757/713451110400], [[[1, 10], [2, 11], [8, 1]], 28849/38050725888], [[[1, 10], [2, 11], [10, 1]], 3373313/1783627776000], [[[1, 10], [2, 13], [3, 1]], 307733/856141332480], [[[1, 10], [2, 13], [4, 1]], 101715791/42807066624000], [[[1, 10], [2, 13], [6, 1]], 8768831/7134511104000], [[[1, 11], [2, 2], [3, 6]], 367/59719680], [[[1, 11], [2, 2], [4, 6]], 1/251658240], [[[1, 11], [2, 2], [5, 3]], 29/2304000], [[[1, 11], [2, 2], [7, 2]], 923/379330560], [[[1, 11], [2, 4], [3, 5]], 727/39813120], [[[1, 11], [2, 4], [4, 5]], 6037/11890851840], [[[1, 11], [2, 6], [3, 4]], 4378643/200658124800], [[[1, 11], [2, 6], [4, 4]], 599783/27179089920], [[[1, 11], [2, 6], [5, 2]], 555203/27869184000], [[[1, 11], [2, 6], [6, 4]], 1/3822059520], [[[1, 11], [2, 6], [10, 2]], 1/294912000], [[[1, 11], [2, 8], [3, 3]], 112679/9555148800], [[[1, 11], [2, 8], [4, 3]], 846449/13212057600], [[[1, 11], [2, 8], [6, 3]], 199/1911029760], [[[1, 11], [2, 8], [7, 1]], 786977/249707888640], [[[1, 11], [2, 8], [14, 1]], 5717/41617981440], [[[1, 11], [2, 10], [3, 2]], 2049757/713451110400], [[[1, 11], [2, 10], [4, 2]], 15956027/634178764800], [[[1, 11], [2, 10], [5, 1]], 3373313/1783627776000], [[[1, 11], [2, 10], [6, 2]], 340589/356725555200], [[[1, 11], [2, 10], [8, 1]], 28849/38050725888], [[[1, 11], [2, 10], [10, 1]], 1035187/891813888000], [[[1, 11], [2, 12], [3, 1]], 30343/52848230400], [[[1, 11], [2, 12], [4, 1]], 528463/190253629440], [[[1, 11], [2, 12], [6, 1]], 3928367/4280706662400], [[[1, 11], [3, 1], [5, 3]], 1/576000], [[[1, 11], [3, 1], [7, 2]], 23/31610880], [[[1, 11], [3, 3], [5, 2]], 1717/435456000], [[[1, 11], [3, 4], [7, 1]], 7/2488320], [[[1, 11], [3, 5], [4, 2]], 1/6635520], [[[1, 11], [3, 5], [5, 1]], 31/12441600], [[[1, 11], [5, 2], [7, 1]], 1/483840], [[[1, 12], [2, 1], [3, 6]], 119/59719680], [[[1, 12], [2, 1], [5, 3]], 1/460800], [[[1, 12], [2, 1], [7, 2]], 29/144506880], [[[1, 12], [2, 3], [3, 5]], 3277/278691840], [[[1, 12], [2, 3], [4, 5]], 137/5945425920], [[[1, 12], [2, 5], [3, 4]], 1405417/66886041600], [[[1, 12], [2, 5], [4, 4]], 4029551/1426902220800], [[[1, 12], [2, 5], [5, 2]], 2831/222953472], [[[1, 12], [2, 7], [3, 3]], 496031/31352832000], [[[1, 12], [2, 7], [4, 3]], 362521/14269022208], [[[1, 12], [2, 7], [6, 3]], 11/3822059520], [[[1, 12], [2, 7], [7, 1]], 181813/62426972160], [[[1, 12], [2, 7], [14, 1]], 37/3963617280], [[[1, 12], [2, 9], [3, 2]], 170283859/32105299968000], [[[1, 12], [2, 9], [4, 2]], 75722803/4076863488000], [[[1, 12], [2, 9], [5, 1]], 42443/16986931200], [[[1, 12], [2, 9], [6, 2]], 9521/35672555520], [[[1, 12], [2, 9], [8, 1]], 369839/570760888320], [[[1, 12], [2, 9], [10, 1]], 20663/29727129600], [[[1, 12], [2, 11], [3, 1]], 3928367/4280706662400], [[[1, 12], [2, 11], [4, 1]], 528463/190253629440], [[[1, 12], [2, 11], [6, 1]], 30343/52848230400], [[[1, 13], [2, 2], [3, 5]], 1061/278691840], [[[1, 13], [2, 4], [3, 4]], 802439/66886041600], [[[1, 13], [2, 4], [4, 4]], 81899/285380444160], [[[1, 13], [2, 4], [5, 2]], 137161/27869184000], [[[1, 13], [2, 6], [3, 3]], 6631301/501645312000], [[[1, 13], [2, 6], [4, 3]], 19427/2786918400], [[[1, 13], [2, 6], [7, 1]], 169739/104044953600], [[[1, 13], [2, 6], [14, 1]], 1/3963617280], [[[1, 13], [2, 8], [3, 2]], 32612639/5350883328000], [[[1, 13], [2, 8], [4, 2]], 11798749/1141521776640], [[[1, 13], [2, 8], [5, 1]], 176827/76441190400], [[[1, 13], [2, 8], [6, 2]], 6193/61152952320], [[[1, 13], [2, 8], [8, 1]], 1197907/2853804441600], [[[1, 13], [2, 8], [10, 1]], 8467/23781703680], [[[1, 13], [2, 10], [3, 1]], 8768831/7134511104000], [[[1, 13], [2, 10], [4, 1]], 101715791/42807066624000], [[[1, 13], [2, 10], [6, 1]], 307733/856141332480], [[[1, 13], [3, 2], [5, 2]], 8737/13934592000], [[[1, 13], [3, 3], [7, 1]], 361/1219276800], [[[1, 13], [3, 4], [4, 2]], 289/11147673600], [[[1, 13], [3, 4], [5, 1]], 73/116121600], [[[1, 13], [4, 2], [5, 2]], 1/132710400], [[[1, 14], [2, 1], [3, 5]], 739/1393459200], [[[1, 14], [2, 3], [3, 4]], 1555549/401316249600], [[[1, 14], [2, 3], [4, 4]], 399127/19976631091200], [[[1, 14], [2, 3], [5, 2]], 21083/18579456000], [[[1, 14], [2, 5], [3, 3]], 18457/2675441664], [[[1, 14], [2, 5], [4, 3]], 220781/178362777600], [[[1, 14], [2, 5], [7, 1]], 689533/1248539443200], [[[1, 14], [2, 7], [3, 2]], 504929/111476736000], [[[1, 14], [2, 7], [4, 2]], 208739959/49941577728000], [[[1, 14], [2, 7], [5, 1]], 967969/668860416000], [[[1, 14], [2, 7], [6, 2]], 10547/305764761600], [[[1, 14], [2, 7], [8, 1]], 539011/2853804441600], [[[1, 14], [2, 7], [10, 1]], 10547/84934656000], [[[1, 14], [2, 9], [3, 1]], 76014863/64210599936000], [[[1, 14], [2, 9], [4, 1]], 70347019/42807066624000], [[[1, 14], [2, 9], [6, 1]], 5927647/29964946636800], [[[1, 15], [2, 2], [3, 4]], 3553/5350883328], [[[1, 15], [2, 2], [4, 4]], 191/246625075200], [[[1, 15], [2, 2], [5, 2]], 391/2654208000], [[[1, 15], [2, 4], [3, 3]], 177071/80263249920], [[[1, 15], [2, 4], [4, 3]], 947767/7491236659200], [[[1, 15], [2, 4], [7, 1]], 28333/249707888640], [[[1, 15], [2, 6], [3, 2]], 10052371/4586471424000], [[[1, 15], [2, 6], [4, 2]], 7789/6967296000], [[[1, 15], [2, 6], [5, 1]], 1069049/1783627776000], [[[1, 15], [2, 6], [6, 2]], 3977/535088332800], [[[1, 15], [2, 6], [8, 1]], 669209/11985978654720], [[[1, 15], [2, 6], [10, 1]], 3977/148635648000], [[[1, 15], [2, 8], [3, 1]], 3368551/4280706662400], [[[1, 15], [2, 8], [4, 1]], 252554249/299649466368000], [[[1, 15], [2, 8], [6, 1]], 2327393/29964946636800], [[[1, 15], [3, 1], [5, 2]], 439/13934592000], [[[1, 15], [3, 2], [7, 1]], 19/1560674304], [[[1, 15], [3, 3], [4, 2]], 1/477757440], [[[1, 15], [3, 3], [5, 1]], 733/11943936000], [[[1, 15], [4, 2], [7, 1]], 1/20808990720], [[[1, 15], [5, 1], [7, 1]], 1/433520640], [[[1, 16], [2, 1], [3, 4]], 7453/133772083200], [[[1, 16], [2, 1], [5, 2]], 107/11147673600], [[[1, 16], [2, 3], [3, 3]], 421121/1003290624000], [[[1, 16], [2, 3], [4, 3]], 53/7927234560], [[[1, 16], [2, 3], [7, 1]], 12241/873977610240], [[[1, 16], [2, 5], [3, 2]], 51415823/74912366592000], [[[1, 16], [2, 5], [4, 2]], 4958941/26635508121600], [[[1, 16], [2, 5], [5, 1]], 1217999/7491236659200], [[[1, 16], [2, 5], [6, 2]], 4307/4494741995520], [[[1, 16], [2, 5], [8, 1]], 70213/6658877030400], [[[1, 16], [2, 5], [10, 1]], 4307/1248539443200], [[[1, 16], [2, 7], [3, 1]], 17731597/49941577728000], [[[1, 16], [2, 7], [4, 1]], 29640889/99883155456000], [[[1, 16], [2, 7], [6, 1]], 1797841/89894839910400], [[[1, 17], [2, 2], [3, 3]], 53491/1170505728000], [[[1, 17], [2, 2], [4, 3]], 17/101921587200], [[[1, 17], [2, 2], [7, 1]], 4373/4369888051200], [[[1, 17], [2, 4], [3, 2]], 47599/346816512000], [[[1, 17], [2, 4], [4, 2]], 54641/2959500902400], [[[1, 17], [2, 4], [5, 1]], 16679/585252864000], [[[1, 17], [2, 4], [6, 2]], 107/1498247331840], [[[1, 17], [2, 4], [8, 1]], 1769/1426902220800], [[[1, 17], [2, 4], [10, 1]], 107/416179814400], [[[1, 17], [2, 6], [3, 1]], 9709423/89894839910400], [[[1, 17], [2, 6], [4, 1]], 43307/624269721600], [[[1, 17], [2, 6], [6, 1]], 99283/29964946636800], [[[1, 17], [3, 1], [7, 1]], 83/546236006400], [[[1, 17], [3, 2], [4, 2]], 1/13005619200], [[[1, 17], [3, 2], [5, 1]], 59/24385536000], [[[1, 17], [4, 2], [5, 1]], 1/89181388800], [[[1, 18], [2, 1], [3, 3]], 12209/4682022912000], [[[1, 18], [2, 1], [4, 3]], 53/14982473318400], [[[1, 18], [2, 1], [7, 1]], 47/1248539443200], [[[1, 18], [2, 3], [3, 2]], 107029/6242697216000], [[[1, 18], [2, 3], [4, 2]], 241771/239719573094400], [[[1, 18], [2, 3], [5, 1]], 4903/1560674304000], [[[1, 18], [2, 3], [6, 2]], 1/356725555200], [[[1, 18], [2, 3], [8, 1]], 53/611529523200], [[[1, 18], [2, 3], [10, 1]], 1/99090432000], [[[1, 18], [2, 5], [3, 1]], 1649621/74912366592000], [[[1, 18], [2, 5], [4, 1]], 635743/59929893273600], [[[1, 18], [2, 5], [6, 1]], 7807/22473709977600], [[[1, 19], [2, 2], [3, 2]], 913/713451110400], [[[1, 19], [2, 2], [4, 2]], 139/5327101624320], [[[1, 19], [2, 2], [5, 1]], 7753/37456183296000], [[[1, 19], [2, 2], [6, 2]], 1/22473709977600], [[[1, 19], [2, 2], [8, 1]], 13/3995326218240], [[[1, 19], [2, 2], [10, 1]], 1/6242697216000], [[[1, 19], [2, 4], [3, 1]], 3181/1070176665600], [[[1, 19], [2, 4], [4, 1]], 17257/16647192576000], [[[1, 19], [2, 4], [6, 1]], 31/1404606873600], [[[1, 19], [3, 1], [4, 2]], 1/998831554560], [[[1, 19], [3, 1], [5, 1]], 61/2080899072000], [[[1, 19], [4, 1], [8, 1]], 1/9988315545600], [[[1, 20], [2, 1], [3, 2]], 1289/24970788864000], [[[1, 20], [2, 1], [4, 2]], 23/79906524364800], [[[1, 20], [2, 1], [5, 1]], 11/1498247331840], [[[1, 20], [2, 1], [8, 1]], 1/19976631091200], [[[1, 20], [2, 3], [3, 1]], 116437/449474199552000], [[[1, 20], [2, 3], [4, 1]], 1231/19976631091200], [[[1, 20], [2, 3], [6, 1]], 23/29964946636800], [[[1, 21], [2, 2], [3, 1]], 2077/149824733184000], [[[1, 21], [2, 2], [4, 1]], 263/131096641536000], [[[1, 21], [2, 2], [6, 1]], 1/89894839910400], [[[1, 22], [2, 1], [3, 1]], 43/104877313228800], [[[1, 22], [2, 1], [4, 1]], 19/699182088192000], [[[2, 5], [4, 6], [8, 2]], 1/786432], [[[2, 5], [6, 1], [14, 3]], 1/8232], [[[2, 7], [4, 3], [8, 3]], 1/393216], [[[2, 7], [6, 3], [10, 3]], 1/216000], [[[2, 7], [6, 3], [14, 2]], 5/84672], [[[2, 7], [6, 5], [10, 2]], 1/388800], [[[2, 9], [4, 2], [6, 6]], 1/2985984], [[[2, 9], [4, 2], [14, 2]], 1/7225344], [[[2, 9], [4, 4], [8, 2]], 1/15728640], [[[2, 9], [6, 2], [10, 3]], 1/192000], [[[2, 9], [6, 2], [14, 2]], 29/2257920], [[[2, 9], [6, 4], [10, 2]], 43/6220800], [[[2, 9], [6, 5], [14, 1]], 1/108864], [[[2, 9], [6, 6], [10, 1]], 1/466560], [[[2, 9], [10, 1], [14, 2]], 11/1128960], [[[2, 11], [4, 2], [6, 5]], 1/6635520], [[[2, 11], [6, 1], [10, 3]], 1/576000], [[[2, 11], [6, 1], [14, 2]], 23/31610880], [[[2, 11], [6, 3], [10, 2]], 1717/435456000], [[[2, 11], [6, 4], [14, 1]], 7/2488320], [[[2, 11], [6, 5], [10, 1]], 31/12441600], [[[2, 11], [10, 2], [14, 1]], 1/483840], [[[2, 13], [4, 2], [6, 4]], 289/11147673600], [[[2, 13], [4, 2], [10, 2]], 1/132710400], [[[2, 13], [6, 2], [10, 2]], 8737/13934592000], [[[2, 13], [6, 3], [14, 1]], 361/1219276800], [[[2, 13], [6, 4], [10, 1]], 73/116121600], [[[2, 15], [4, 2], [6, 3]], 1/477757440], [[[2, 15], [4, 2], [14, 1]], 1/20808990720], [[[2, 15], [6, 1], [10, 2]], 439/13934592000], [[[2, 15], [6, 2], [14, 1]], 19/1560674304], [[[2, 15], [6, 3], [10, 1]], 733/11943936000], [[[2, 15], [10, 1], [14, 1]], 1/433520640], [[[2, 17], [4, 2], [6, 2]], 1/13005619200], [[[2, 17], [4, 2], [10, 1]], 1/89181388800], [[[2, 17], [6, 1], [14, 1]], 83/546236006400], [[[2, 17], [6, 2], [10, 1]], 59/24385536000], [[[2, 19], [4, 1], [8, 1]], 1/9988315545600], [[[2, 19], [4, 2], [6, 1]], 1/998831554560], [[[2, 19], [6, 1], [10, 1]], 61/2080899072000], [[[1, 1], [2, 4], [4, 1], [14, 3]], 1/10976], [[[1, 1], [2, 4], [4, 4], [8, 3]], 3/65536], [[[1, 1], [2, 4], [4, 6], [8, 2]], 1/786432], [[[1, 1], [2, 4], [6, 1], [14, 3]], 1/8232], [[[1, 1], [2, 6], [4, 3], [8, 3]], 7/393216], [[[1, 1], [2, 6], [4, 3], [14, 2]], 1/903168], [[[1, 1], [2, 6], [4, 5], [8, 2]], 23/1179648], [[[1, 1], [2, 6], [4, 7], [8, 1]], 1/1572864], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/72000], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/9408], [[[1, 1], [2, 6], [6, 5], [10, 2]], 1/388800], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/995328], [[[1, 1], [2, 8], [4, 2], [8, 3]], 5/2359296], [[[1, 1], [2, 8], [4, 2], [14, 2]], 13/7225344], [[[1, 1], [2, 8], [4, 3], [6, 5]], 7/2985984], [[[1, 1], [2, 8], [4, 4], [8, 2]], 41/15728640], [[[1, 1], [2, 8], [6, 2], [10, 3]], 19/576000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 269/2257920], [[[1, 1], [2, 8], [6, 4], [10, 2]], 187/6220800], [[[1, 1], [2, 8], [6, 5], [14, 1]], 5/217728], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/233280], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/602112], [[[1, 1], [2, 8], [10, 1], [14, 2]], 107/1128960], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/186624], [[[1, 1], [2, 10], [4, 1], [6, 6]], 5/995328], [[[1, 1], [2, 10], [4, 1], [10, 3]], 1/1152000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 121/42147840], [[[1, 1], [2, 10], [4, 2], [6, 5]], 31/19906560], [[[1, 1], [2, 10], [4, 3], [6, 4]], 127/119439360], [[[1, 1], [2, 10], [4, 3], [8, 2]], 11/165150720], [[[1, 1], [2, 10], [4, 3], [10, 2]], 1/16588800], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1/31457280], [[[1, 1], [2, 10], [6, 1], [10, 3]], 1/57600], [[[1, 1], [2, 10], [6, 1], [14, 2]], 83/6322176], [[[1, 1], [2, 10], [6, 3], [10, 2]], 14821/435456000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 13/435456], [[[1, 1], [2, 10], [6, 5], [8, 1]], 1/1990656], [[[1, 1], [2, 10], [6, 5], [10, 1]], 49/3110400], [[[1, 1], [2, 10], [10, 2], [14, 1]], 31/1209600], [[[1, 1], [2, 12], [3, 1], [6, 5]], 49/29859840], [[[1, 1], [2, 12], [4, 1], [6, 5]], 1/491520], [[[1, 1], [2, 12], [4, 2], [6, 4]], 5219/11147673600], [[[1, 1], [2, 12], [4, 2], [8, 2]], 1/990904320], [[[1, 1], [2, 12], [4, 2], [10, 2]], 19/132710400], [[[1, 1], [2, 12], [4, 3], [6, 3]], 3071/16721510400], [[[1, 1], [2, 12], [4, 3], [14, 1]], 107/5202247680], [[[1, 1], [2, 12], [6, 2], [10, 2]], 132721/13934592000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 3533/609638400], [[[1, 1], [2, 12], [6, 4], [8, 1]], 13/79626240], [[[1, 1], [2, 12], [6, 4], [10, 1]], 3011/348364800], [[[1, 1], [2, 12], [8, 1], [10, 2]], 1/11059200], [[[1, 1], [2, 14], [3, 1], [6, 4]], 361/2090188800], [[[1, 1], [2, 14], [4, 1], [6, 4]], 583/1857945600], [[[1, 1], [2, 14], [4, 1], [10, 2]], 73/580608000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 103/1857945600], [[[1, 1], [2, 14], [4, 2], [14, 1]], 41/20808990720], [[[1, 1], [2, 14], [4, 3], [6, 2]], 1949/133772083200], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1/23781703680], [[[1, 1], [2, 14], [4, 3], [10, 1]], 107/22295347200], [[[1, 1], [2, 14], [6, 1], [10, 2]], 1033/1393459200], [[[1, 1], [2, 14], [6, 2], [14, 1]], 449/1219276800], [[[1, 1], [2, 14], [6, 3], [8, 1]], 103/5573836800], [[[1, 1], [2, 14], [6, 3], [10, 1]], 7193/5225472000], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/1734082560], [[[1, 1], [2, 14], [10, 1], [14, 1]], 289/3251404800], [[[1, 1], [2, 16], [3, 1], [6, 3]], 19/2675441664], [[[1, 1], [2, 16], [4, 1], [6, 3]], 251/11147673600], [[[1, 1], [2, 16], [4, 1], [14, 1]], 19/29132587008], [[[1, 1], [2, 16], [4, 2], [6, 2]], 701/249707888640], [[[1, 1], [2, 16], [4, 2], [8, 1]], 47/554906419200], [[[1, 1], [2, 16], [4, 2], [10, 1]], 11/22295347200], [[[1, 1], [2, 16], [4, 3], [6, 1]], 907/1872809164800], [[[1, 1], [2, 16], [6, 1], [14, 1]], 781/109247201280], [[[1, 1], [2, 16], [6, 2], [8, 1]], 37/44590694400], [[[1, 1], [2, 16], [6, 2], [10, 1]], 15571/195084288000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/7431782400], [[[1, 1], [2, 18], [3, 1], [6, 2]], 83/936404582400], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/7491236659200], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/6242697216000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 251/346816512000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 1/156067430400], [[[1, 1], [2, 18], [4, 1], [10, 1]], 809/6242697216000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/3745618329600], [[[1, 1], [2, 18], [4, 2], [6, 1]], 37/713451110400], [[[1, 1], [2, 18], [6, 1], [8, 1]], 29/2497078886400], [[[1, 1], [2, 18], [6, 1], [10, 1]], 1823/1248539443200], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/29964946636800], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/2996494663680], [[[1, 1], [2, 20], [4, 1], [6, 1]], 19/2378170368000], [[[1, 2], [2, 3], [4, 1], [14, 3]], 1/10976], [[[1, 2], [2, 3], [4, 4], [7, 2]], 1/602112], [[[1, 2], [2, 3], [4, 4], [8, 3]], 3/65536], [[[1, 2], [2, 3], [4, 4], [14, 2]], 1/602112], [[[1, 2], [2, 3], [4, 6], [8, 2]], 1/196608], [[[1, 2], [2, 5], [4, 3], [8, 3]], 29/393216], [[[1, 2], [2, 5], [4, 3], [14, 2]], 1/129024], [[[1, 2], [2, 5], [4, 5], [8, 2]], 43/589824], [[[1, 2], [2, 5], [4, 6], [7, 1]], 1/1376256], [[[1, 2], [2, 5], [4, 7], [8, 1]], 1/1572864], [[[1, 2], [2, 5], [6, 3], [10, 3]], 1/72000], [[[1, 2], [2, 5], [6, 3], [14, 2]], 1/21168], [[[1, 2], [2, 5], [7, 1], [14, 2]], 1/3136], [[[1, 2], [2, 5], [7, 2], [14, 1]], 1/9408], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/677376], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/995328], [[[1, 2], [2, 7], [4, 2], [7, 2]], 1/12042240], [[[1, 2], [2, 7], [4, 2], [8, 3]], 53/2359296], [[[1, 2], [2, 7], [4, 2], [14, 2]], 83/2408448], [[[1, 2], [2, 7], [4, 3], [6, 5]], 5/995328], [[[1, 2], [2, 7], [4, 4], [6, 4]], 31/5308416], [[[1, 2], [2, 7], [4, 4], [8, 2]], 509/11796480], [[[1, 2], [2, 7], [4, 4], [10, 2]], 1/11059200], [[[1, 2], [2, 7], [4, 6], [8, 1]], 53/4718592], [[[1, 2], [2, 7], [4, 6], [10, 1]], 1/655360], [[[1, 2], [2, 7], [4, 6], [12, 1]], 1/393216], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/188160], [[[1, 2], [2, 7], [6, 2], [10, 3]], 1/14400], [[[1, 2], [2, 7], [6, 2], [14, 2]], 1/4032], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/25920], [[[1, 2], [2, 7], [6, 5], [14, 1]], 1/54432], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/466560], [[[1, 2], [2, 7], [8, 1], [14, 2]], 3/200704], [[[1, 2], [2, 7], [10, 1], [14, 2]], 13/47040], [[[1, 2], [2, 9], [3, 1], [6, 6]], 19/1119744], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/2709504], [[[1, 2], [2, 9], [3, 2], [6, 5]], 23/1119744], [[[1, 2], [2, 9], [4, 1], [6, 6]], 37/2985984], [[[1, 2], [2, 9], [4, 1], [10, 3]], 1/128000], [[[1, 2], [2, 9], [4, 1], [14, 2]], 4843/126443520], [[[1, 2], [2, 9], [4, 2], [6, 5]], 259/9953280], [[[1, 2], [2, 9], [4, 3], [6, 4]], 25/2654208], [[[1, 2], [2, 9], [4, 3], [8, 2]], 817/165150720], [[[1, 2], [2, 9], [4, 3], [10, 2]], 13/16588800], [[[1, 2], [2, 9], [4, 4], [6, 3]], 11/4423680], [[[1, 2], [2, 9], [4, 4], [7, 1]], 1/27525120], [[[1, 2], [2, 9], [4, 4], [14, 1]], 193/867041280], [[[1, 2], [2, 9], [4, 5], [8, 1]], 13/15728640], [[[1, 2], [2, 9], [4, 6], [6, 1]], 1/3145728], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/622080], [[[1, 2], [2, 9], [6, 1], [10, 3]], 37/576000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 29/376320], [[[1, 2], [2, 9], [6, 3], [10, 2]], 529/5184000], [[[1, 2], [2, 9], [6, 4], [14, 1]], 1391/17418240], [[[1, 2], [2, 9], [6, 5], [8, 1]], 5/1990656], [[[1, 2], [2, 9], [6, 5], [10, 1]], 77/2488320], [[[1, 2], [2, 9], [10, 2], [14, 1]], 13/115200], [[[1, 2], [2, 11], [3, 1], [6, 5]], 37/1990656], [[[1, 2], [2, 11], [3, 2], [6, 4]], 809/179159040], [[[1, 2], [2, 11], [3, 2], [10, 2]], 1/12441600], [[[1, 2], [2, 11], [4, 1], [6, 5]], 823/39813120], [[[1, 2], [2, 11], [4, 2], [6, 4]], 1303/111476736], [[[1, 2], [2, 11], [4, 2], [8, 2]], 13/283115520], [[[1, 2], [2, 11], [4, 2], [10, 2]], 1/442368], [[[1, 2], [2, 11], [4, 3], [6, 3]], 1007/348364800], [[[1, 2], [2, 11], [4, 3], [14, 1]], 59/148635648], [[[1, 2], [2, 11], [4, 4], [6, 2]], 493/1238630400], [[[1, 2], [2, 11], [4, 4], [8, 1]], 283/2972712960], [[[1, 2], [2, 11], [4, 4], [10, 1]], 193/3715891200], [[[1, 2], [2, 11], [5, 1], [6, 4]], 13/24883200], [[[1, 2], [2, 11], [5, 1], [10, 2]], 1/3456000], [[[1, 2], [2, 11], [6, 2], [10, 2]], 2033/38707200], [[[1, 2], [2, 11], [6, 3], [14, 1]], 937/24385536], [[[1, 2], [2, 11], [6, 4], [8, 1]], 167/79626240], [[[1, 2], [2, 11], [6, 4], [10, 1]], 101/2580480], [[[1, 2], [2, 11], [7, 1], [14, 1]], 1/43352064], [[[1, 2], [2, 11], [8, 1], [10, 2]], 1/737280], [[[1, 2], [2, 13], [3, 1], [6, 4]], 14731/4180377600], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1/49766400], [[[1, 2], [2, 13], [3, 2], [6, 3]], 473/1791590400], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/1950842880], [[[1, 2], [2, 13], [4, 1], [6, 4]], 31999/5573836800], [[[1, 2], [2, 13], [4, 1], [8, 2]], 1/1981808640], [[[1, 2], [2, 13], [4, 1], [10, 2]], 5443/2322432000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 21311/11147673600], [[[1, 2], [2, 13], [4, 2], [14, 1]], 433/2080899072], [[[1, 2], [2, 13], [4, 3], [6, 2]], 1067/3185049600], [[[1, 2], [2, 13], [4, 3], [8, 1]], 479/23781703680], [[[1, 2], [2, 13], [4, 3], [10, 1]], 1193/11147673600], [[[1, 2], [2, 13], [4, 4], [6, 1]], 121/4246732800], [[[1, 2], [2, 13], [5, 1], [6, 3]], 103/1741824000], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/541900800], [[[1, 2], [2, 13], [6, 1], [10, 2]], 31181/4644864000], [[[1, 2], [2, 13], [6, 2], [14, 1]], 23447/5573836800], [[[1, 2], [2, 13], [6, 3], [8, 1]], 551/1393459200], [[[1, 2], [2, 13], [6, 3], [10, 1]], 955153/83607552000], [[[1, 2], [2, 13], [8, 1], [14, 1]], 37/1734082560], [[[1, 2], [2, 13], [10, 1], [14, 1]], 7967/6502809600], [[[1, 2], [2, 15], [3, 1], [6, 3]], 44761/200658124800], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/7803371520], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1061/401316249600], [[[1, 2], [2, 15], [3, 2], [10, 1]], 1/8360755200], [[[1, 2], [2, 15], [4, 1], [6, 3]], 20521/33443020800], [[[1, 2], [2, 15], [4, 1], [14, 1]], 20117/728314675200], [[[1, 2], [2, 15], [4, 2], [5, 1]], 47/346816512000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 24347/178362777600], [[[1, 2], [2, 15], [4, 2], [8, 1]], 229/61656268800], [[[1, 2], [2, 15], [4, 2], [10, 1]], 803/17836277760], [[[1, 2], [2, 15], [4, 2], [12, 1]], 47/208089907200], [[[1, 2], [2, 15], [4, 3], [6, 1]], 39/2569011200], [[[1, 2], [2, 15], [5, 1], [6, 2]], 37/13934592000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 1/2322432000], [[[1, 2], [2, 15], [6, 1], [14, 1]], 10117/78033715200], [[[1, 2], [2, 15], [6, 2], [8, 1]], 583/22295347200], [[[1, 2], [2, 15], [6, 2], [10, 1]], 289/278691840], [[[1, 2], [2, 15], [8, 1], [10, 1]], 1/185794560], [[[1, 2], [2, 17], [3, 1], [4, 2]], 47/1664719257600], [[[1, 2], [2, 17], [3, 1], [6, 2]], 229/52022476800], [[[1, 2], [2, 17], [3, 1], [8, 1]], 1/118908518400], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/33443020800], [[[1, 2], [2, 17], [3, 2], [6, 1]], 29/2809213747200], [[[1, 2], [2, 17], [4, 1], [5, 1]], 1/99090432000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 171799/6242697216000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 421/1997663109120], [[[1, 2], [2, 17], [4, 1], [10, 1]], 4049/693633024000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 1/59454259200], [[[1, 2], [2, 17], [4, 2], [6, 1]], 19427/4994157772800], [[[1, 2], [2, 17], [5, 1], [6, 1]], 29/780337152000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 55/99883155456], [[[1, 2], [2, 17], [6, 1], [10, 1]], 29941/1040449536000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 13/5992989327360], [[[1, 2], [2, 19], [3, 1], [6, 1]], 37/1498247331840], [[[1, 2], [2, 19], [4, 1], [6, 1]], 21799/49941577728000], [[[1, 3], [2, 2], [4, 1], [7, 3]], 1/10976], [[[1, 3], [2, 2], [4, 4], [7, 2]], 1/602112], [[[1, 3], [2, 2], [4, 4], [8, 3]], 3/65536], [[[1, 3], [2, 2], [4, 4], [14, 2]], 1/602112], [[[1, 3], [2, 2], [4, 6], [8, 2]], 1/196608], [[[1, 3], [2, 4], [4, 3], [7, 2]], 19/301056], [[[1, 3], [2, 4], [4, 3], [8, 3]], 83/393216], [[[1, 3], [2, 4], [4, 3], [14, 2]], 1/14336], [[[1, 3], [2, 4], [4, 5], [8, 2]], 149/1179648], [[[1, 3], [2, 4], [4, 6], [7, 1]], 1/1376256], [[[1, 3], [2, 4], [4, 7], [8, 1]], 1/196608], [[[1, 3], [2, 4], [6, 3], [10, 3]], 1/216000], [[[1, 3], [2, 4], [7, 1], [14, 2]], 3/3136], [[[1, 3], [2, 4], [7, 2], [14, 1]], 1/1344], [[[1, 3], [2, 6], [3, 1], [4, 7]], 1/1179648], [[[1, 3], [2, 6], [3, 2], [4, 6]], 1/7077888], [[[1, 3], [2, 6], [3, 2], [14, 2]], 1/96768], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/2985984], [[[1, 3], [2, 6], [4, 2], [7, 2]], 1/573440], [[[1, 3], [2, 6], [4, 2], [8, 3]], 199/2359296], [[[1, 3], [2, 6], [4, 2], [14, 2]], 487/2408448], [[[1, 3], [2, 6], [4, 3], [6, 5]], 1/331776], [[[1, 3], [2, 6], [4, 4], [6, 4]], 139/15925248], [[[1, 3], [2, 6], [4, 4], [8, 2]], 3329/11796480], [[[1, 3], [2, 6], [4, 4], [10, 2]], 7/11059200], [[[1, 3], [2, 6], [4, 5], [6, 3]], 17/2654208], [[[1, 3], [2, 6], [4, 5], [7, 1]], 1/65536], [[[1, 3], [2, 6], [4, 5], [14, 1]], 17/1376256], [[[1, 3], [2, 6], [4, 6], [5, 1]], 1/1966080], [[[1, 3], [2, 6], [4, 6], [8, 1]], 271/9437184], [[[1, 3], [2, 6], [4, 6], [10, 1]], 1/655360], [[[1, 3], [2, 6], [4, 6], [12, 1]], 1/393216], [[[1, 3], [2, 6], [4, 7], [6, 1]], 1/884736], [[[1, 3], [2, 6], [5, 1], [14, 2]], 1/26880], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/16000], [[[1, 3], [2, 6], [6, 2], [14, 2]], 19/112896], [[[1, 3], [2, 6], [6, 4], [10, 2]], 11/518400], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/217728], [[[1, 3], [2, 6], [7, 2], [8, 1]], 1/602112], [[[1, 3], [2, 6], [8, 1], [14, 2]], 5/129024], [[[1, 3], [2, 6], [10, 1], [14, 2]], 9/31360], [[[1, 3], [2, 8], [3, 1], [6, 6]], 7/373248], [[[1, 3], [2, 8], [3, 1], [14, 2]], 13/2709504], [[[1, 3], [2, 8], [3, 2], [6, 5]], 25/373248], [[[1, 3], [2, 8], [3, 3], [6, 4]], 5/186624], [[[1, 3], [2, 8], [4, 1], [6, 6]], 29/2985984], [[[1, 3], [2, 8], [4, 1], [7, 2]], 1/18063360], [[[1, 3], [2, 8], [4, 1], [10, 3]], 1/38400], [[[1, 3], [2, 8], [4, 1], [14, 2]], 2987/18063360], [[[1, 3], [2, 8], [4, 2], [6, 5]], 31/663552], [[[1, 3], [2, 8], [4, 3], [6, 4]], 109/1658880], [[[1, 3], [2, 8], [4, 3], [8, 2]], 4639/82575360], [[[1, 3], [2, 8], [4, 3], [10, 2]], 7/1105920], [[[1, 3], [2, 8], [4, 4], [6, 3]], 767/39813120], [[[1, 3], [2, 8], [4, 4], [7, 1]], 1/1310720], [[[1, 3], [2, 8], [4, 4], [14, 1]], 839/289013760], [[[1, 3], [2, 8], [4, 5], [5, 1]], 1/1310720], [[[1, 3], [2, 8], [4, 5], [6, 2]], 29/5898240], [[[1, 3], [2, 8], [4, 5], [8, 1]], 72983/1981808640], [[[1, 3], [2, 8], [4, 5], [10, 1]], 97/11796480], [[[1, 3], [2, 8], [4, 5], [12, 1]], 53/7077888], [[[1, 3], [2, 8], [4, 6], [6, 1]], 1/1048576], [[[1, 3], [2, 8], [5, 1], [6, 5]], 1/207360], [[[1, 3], [2, 8], [6, 1], [10, 3]], 1/9000], [[[1, 3], [2, 8], [6, 1], [14, 2]], 193/1128960], [[[1, 3], [2, 8], [6, 3], [10, 2]], 713/5184000], [[[1, 3], [2, 8], [6, 4], [14, 1]], 73/870912], [[[1, 3], [2, 8], [6, 5], [8, 1]], 7/1492992], [[[1, 3], [2, 8], [6, 5], [10, 1]], 1/38880], [[[1, 3], [2, 8], [10, 2], [14, 1]], 1/4480], [[[1, 3], [2, 10], [3, 1], [4, 5]], 1/18874368], [[[1, 3], [2, 10], [3, 1], [6, 5]], 1753/29859840], [[[1, 3], [2, 10], [3, 2], [4, 4]], 1/141557760], [[[1, 3], [2, 10], [3, 2], [6, 4]], 2933/59719680], [[[1, 3], [2, 10], [3, 2], [10, 2]], 13/12441600], [[[1, 3], [2, 10], [3, 3], [6, 3]], 1/276480], [[[1, 3], [2, 10], [4, 1], [6, 5]], 6431/119439360], [[[1, 3], [2, 10], [4, 2], [6, 4]], 6877/79626240], [[[1, 3], [2, 10], [4, 2], [8, 2]], 6851/1981808640], [[[1, 3], [2, 10], [4, 2], [10, 2]], 13/691200], [[[1, 3], [2, 10], [4, 3], [6, 3]], 149/4587520], [[[1, 3], [2, 10], [4, 3], [7, 1]], 1/16515072], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1921/371589120], [[[1, 3], [2, 10], [4, 4], [5, 1]], 1/39321600], [[[1, 3], [2, 10], [4, 4], [6, 2]], 41173/7431782400], [[[1, 3], [2, 10], [4, 4], [8, 1]], 35579/11890851840], [[[1, 3], [2, 10], [4, 4], [10, 1]], 43/51609600], [[[1, 3], [2, 10], [4, 5], [6, 1]], 2753/1981808640], [[[1, 3], [2, 10], [5, 1], [6, 4]], 47/8294400], [[[1, 3], [2, 10], [5, 1], [10, 2]], 13/3456000], [[[1, 3], [2, 10], [6, 2], [10, 2]], 26867/193536000], [[[1, 3], [2, 10], [6, 3], [14, 1]], 3643/34836480], [[[1, 3], [2, 10], [6, 4], [8, 1]], 2083/238878720], [[[1, 3], [2, 10], [6, 4], [10, 1]], 3953/49766400], [[[1, 3], [2, 10], [7, 1], [14, 1]], 197/216760320], [[[1, 3], [2, 10], [8, 1], [10, 2]], 259/33177600], [[[1, 3], [2, 12], [3, 1], [6, 4]], 105059/4180377600], [[[1, 3], [2, 12], [3, 1], [10, 2]], 19/49766400], [[[1, 3], [2, 12], [3, 2], [6, 3]], 7369/1393459200], [[[1, 3], [2, 12], [3, 2], [14, 1]], 1/55738368], [[[1, 3], [2, 12], [3, 3], [6, 2]], 1/27869184], [[[1, 3], [2, 12], [4, 1], [6, 4]], 30137/836075520], [[[1, 3], [2, 12], [4, 1], [8, 2]], 37/1981808640], [[[1, 3], [2, 12], [4, 1], [10, 2]], 397/23224320], [[[1, 3], [2, 12], [4, 2], [6, 3]], 411347/16721510400], [[[1, 3], [2, 12], [4, 2], [14, 1]], 13099/3468165120], [[[1, 3], [2, 12], [4, 3], [5, 1]], 73/2477260800], [[[1, 3], [2, 12], [4, 3], [6, 2]], 79469/14863564800], [[[1, 3], [2, 12], [4, 3], [8, 1]], 187/339738624], [[[1, 3], [2, 12], [4, 3], [10, 1]], 1591/1114767360], [[[1, 3], [2, 12], [4, 3], [12, 1]], 73/1486356480], [[[1, 3], [2, 12], [4, 4], [6, 1]], 50719/89181388800], [[[1, 3], [2, 12], [5, 1], [6, 3]], 37/32256000], [[[1, 3], [2, 12], [5, 1], [14, 1]], 1/15482880], [[[1, 3], [2, 12], [6, 1], [10, 2]], 35423/1161216000], [[[1, 3], [2, 12], [6, 2], [14, 1]], 223499/9754214400], [[[1, 3], [2, 12], [6, 3], [8, 1]], 26003/8360755200], [[[1, 3], [2, 12], [6, 3], [10, 1]], 314413/6967296000], [[[1, 3], [2, 12], [8, 1], [14, 1]], 13/46448640], [[[1, 3], [2, 12], [10, 1], [14, 1]], 869/108380160], [[[1, 3], [2, 14], [3, 1], [4, 3]], 73/11890851840], [[[1, 3], [2, 14], [3, 1], [6, 3]], 19961/7431782400], [[[1, 3], [2, 14], [3, 1], [14, 1]], 41/7803371520], [[[1, 3], [2, 14], [3, 2], [6, 2]], 13597/133772083200], [[[1, 3], [2, 14], [3, 2], [10, 1]], 19/4180377600], [[[1, 3], [2, 14], [3, 3], [6, 1]], 1/3344302080], [[[1, 3], [2, 14], [4, 1], [6, 3]], 13393/2090188800], [[[1, 3], [2, 14], [4, 1], [14, 1]], 45503/104044953600], [[[1, 3], [2, 14], [4, 2], [5, 1]], 5797/1040449536000], [[[1, 3], [2, 14], [4, 2], [6, 2]], 76703/29727129600], [[[1, 3], [2, 14], [4, 2], [8, 1]], 30389/416179814400], [[[1, 3], [2, 14], [4, 2], [10, 1]], 1913/2123366400], [[[1, 3], [2, 14], [4, 2], [12, 1]], 5797/624269721600], [[[1, 3], [2, 14], [4, 3], [6, 1]], 20389/59454259200], [[[1, 3], [2, 14], [5, 1], [6, 2]], 13/165888000], [[[1, 3], [2, 14], [5, 1], [10, 1]], 19/1161216000], [[[1, 3], [2, 14], [6, 1], [14, 1]], 92587/78033715200], [[[1, 3], [2, 14], [6, 2], [8, 1]], 43291/133772083200], [[[1, 3], [2, 14], [6, 2], [10, 1]], 191507/27869184000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 1789/22295347200], [[[1, 3], [2, 16], [3, 1], [4, 2]], 6079/4994157772800], [[[1, 3], [2, 16], [3, 1], [6, 2]], 113/1337720832], [[[1, 3], [2, 16], [3, 1], [8, 1]], 107/499415777280], [[[1, 3], [2, 16], [3, 1], [10, 1]], 11/8360755200], [[[1, 3], [2, 16], [3, 2], [4, 1]], 47/1248539443200], [[[1, 3], [2, 16], [3, 2], [6, 1]], 509/936404582400], [[[1, 3], [2, 16], [4, 1], [5, 1]], 817/2080899072000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 3953911/9364045824000], [[[1, 3], [2, 16], [4, 1], [8, 1]], 3007/713451110400], [[[1, 3], [2, 16], [4, 1], [10, 1]], 126841/1248539443200], [[[1, 3], [2, 16], [4, 1], [12, 1]], 107/249707888640], [[[1, 3], [2, 16], [4, 2], [6, 1]], 14759/142690222080], [[[1, 3], [2, 16], [5, 1], [6, 1]], 439/260112384000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 11033/1070176665600], [[[1, 3], [2, 16], [6, 1], [10, 1]], 927191/3121348608000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 1007/14982473318400], [[[1, 3], [2, 18], [3, 1], [6, 1]], 2179/2996494663680], [[[1, 3], [2, 18], [4, 1], [6, 1]], 724007/74912366592000], [[[1, 3], [4, 3], [8, 2], [16, 1]], 1/8192], [[[1, 4], [2, 1], [3, 1], [7, 3]], 1/8232], [[[1, 4], [2, 1], [4, 1], [7, 3]], 1/10976], [[[1, 4], [2, 1], [4, 4], [8, 3]], 3/65536], [[[1, 4], [2, 1], [4, 6], [8, 2]], 1/786432], [[[1, 4], [2, 3], [3, 3], [5, 3]], 1/216000], [[[1, 4], [2, 3], [4, 3], [7, 2]], 1/14336], [[[1, 4], [2, 3], [4, 3], [8, 3]], 83/393216], [[[1, 4], [2, 3], [4, 3], [14, 2]], 19/301056], [[[1, 4], [2, 3], [4, 5], [8, 2]], 149/1179648], [[[1, 4], [2, 3], [4, 6], [14, 1]], 1/1376256], [[[1, 4], [2, 3], [4, 7], [8, 1]], 1/196608], [[[1, 4], [2, 3], [7, 1], [14, 2]], 1/1344], [[[1, 4], [2, 3], [7, 2], [14, 1]], 3/3136], [[[1, 4], [2, 5], [3, 1], [4, 7]], 1/1179648], [[[1, 4], [2, 5], [3, 2], [4, 6]], 25/7077888], [[[1, 4], [2, 5], [3, 2], [5, 3]], 1/576000], [[[1, 4], [2, 5], [3, 2], [7, 2]], 1/1354752], [[[1, 4], [2, 5], [3, 2], [14, 2]], 1/75264], [[[1, 4], [2, 5], [3, 3], [4, 5]], 1/884736], [[[1, 4], [2, 5], [3, 4], [4, 4]], 1/15925248], [[[1, 4], [2, 5], [3, 4], [5, 2]], 1/6220800], [[[1, 4], [2, 5], [4, 2], [7, 2]], 71/802816], [[[1, 4], [2, 5], [4, 2], [8, 3]], 343/2359296], [[[1, 4], [2, 5], [4, 2], [14, 2]], 617/2408448], [[[1, 4], [2, 5], [4, 3], [6, 5]], 1/2985984], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/1228800], [[[1, 4], [2, 5], [4, 4], [6, 4]], 47/15925248], [[[1, 4], [2, 5], [4, 4], [8, 2]], 2489/4718592], [[[1, 4], [2, 5], [4, 4], [10, 2]], 1/737280], [[[1, 4], [2, 5], [4, 5], [6, 3]], 5/663552], [[[1, 4], [2, 5], [4, 5], [7, 1]], 9/458752], [[[1, 4], [2, 5], [4, 5], [14, 1]], 23/1376256], [[[1, 4], [2, 5], [4, 6], [5, 1]], 7/1474560], [[[1, 4], [2, 5], [4, 6], [6, 2]], 1/294912], [[[1, 4], [2, 5], [4, 6], [8, 1]], 105/1048576], [[[1, 4], [2, 5], [4, 6], [10, 1]], 5/1179648], [[[1, 4], [2, 5], [4, 6], [12, 1]], 1/73728], [[[1, 4], [2, 5], [4, 7], [6, 1]], 1/884736], [[[1, 4], [2, 5], [5, 1], [7, 2]], 1/125440], [[[1, 4], [2, 5], [5, 1], [14, 2]], 3/62720], [[[1, 4], [2, 5], [6, 2], [7, 2]], 1/225792], [[[1, 4], [2, 5], [6, 2], [10, 3]], 13/576000], [[[1, 4], [2, 5], [6, 2], [14, 2]], 37/1354752], [[[1, 4], [2, 5], [6, 4], [10, 2]], 37/6220800], [[[1, 4], [2, 5], [7, 2], [8, 1]], 3/200704], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/62720], [[[1, 4], [2, 5], [8, 1], [14, 2]], 5/129024], [[[1, 4], [2, 5], [10, 1], [14, 2]], 13/125440], [[[1, 4], [2, 7], [3, 1], [4, 6]], 341/28311552], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/124416], [[[1, 4], [2, 7], [3, 1], [7, 2]], 1/3386880], [[[1, 4], [2, 7], [3, 1], [14, 2]], 13/677376], [[[1, 4], [2, 7], [3, 2], [4, 5]], 5/2359296], [[[1, 4], [2, 7], [3, 2], [6, 5]], 35/373248], [[[1, 4], [2, 7], [3, 3], [5, 2]], 1/15552000], [[[1, 4], [2, 7], [3, 3], [6, 4]], 35/248832], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/82944], [[[1, 4], [2, 7], [4, 1], [6, 6]], 7/2985984], [[[1, 4], [2, 7], [4, 1], [7, 2]], 5/3612672], [[[1, 4], [2, 7], [4, 1], [10, 3]], 23/576000], [[[1, 4], [2, 7], [4, 1], [14, 2]], 1529/6021120], [[[1, 4], [2, 7], [4, 2], [6, 5]], 11/442368], [[[1, 4], [2, 7], [4, 3], [5, 2]], 1/204800], [[[1, 4], [2, 7], [4, 3], [6, 4]], 991/11943936], [[[1, 4], [2, 7], [4, 3], [8, 2]], 5477/16515072], [[[1, 4], [2, 7], [4, 3], [10, 2]], 17/691200], [[[1, 4], [2, 7], [4, 4], [6, 3]], 6581/79626240], [[[1, 4], [2, 7], [4, 4], [7, 1]], 7/196608], [[[1, 4], [2, 7], [4, 4], [14, 1]], 18349/247726080], [[[1, 4], [2, 7], [4, 5], [5, 1]], 13/1310720], [[[1, 4], [2, 7], [4, 5], [6, 2]], 749/35389440], [[[1, 4], [2, 7], [4, 5], [8, 1]], 43369/220200960], [[[1, 4], [2, 7], [4, 5], [10, 1]], 301/11796480], [[[1, 4], [2, 7], [4, 5], [12, 1]], 191/7077888], [[[1, 4], [2, 7], [4, 6], [6, 1]], 583/35389440], [[[1, 4], [2, 7], [5, 1], [6, 5]], 1/207360], [[[1, 4], [2, 7], [6, 1], [7, 2]], 1/903168], [[[1, 4], [2, 7], [6, 1], [10, 3]], 11/115200], [[[1, 4], [2, 7], [6, 1], [14, 2]], 59/387072], [[[1, 4], [2, 7], [6, 3], [10, 2]], 233/2488320], [[[1, 4], [2, 7], [6, 4], [14, 1]], 127/3483648], [[[1, 4], [2, 7], [6, 5], [8, 1]], 1/248832], [[[1, 4], [2, 7], [6, 5], [10, 1]], 79/7464960], [[[1, 4], [2, 7], [10, 2], [14, 1]], 11/53760], [[[1, 4], [2, 9], [3, 1], [4, 5]], 17/18874368], [[[1, 4], [2, 9], [3, 1], [6, 5]], 7141/89579520], [[[1, 4], [2, 9], [3, 2], [4, 4]], 11/28311552], [[[1, 4], [2, 9], [3, 2], [5, 2]], 1/663552000], [[[1, 4], [2, 9], [3, 2], [6, 4]], 10097/59719680], [[[1, 4], [2, 9], [3, 2], [10, 2]], 1/207360], [[[1, 4], [2, 9], [3, 3], [4, 3]], 1/13271040], [[[1, 4], [2, 9], [3, 3], [6, 3]], 113/2488320], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/318504960], [[[1, 4], [2, 9], [3, 4], [6, 2]], 1/1327104], [[[1, 4], [2, 9], [4, 1], [6, 5]], 1349/23887872], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/24576000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 9391/53084160], [[[1, 4], [2, 9], [4, 2], [8, 2]], 39223/990904320], [[[1, 4], [2, 9], [4, 2], [10, 2]], 1621/22118400], [[[1, 4], [2, 9], [4, 3], [6, 3]], 40679/238878720], [[[1, 4], [2, 9], [4, 3], [7, 1]], 17/11796480], [[[1, 4], [2, 9], [4, 3], [14, 1]], 34879/867041280], [[[1, 4], [2, 9], [4, 4], [5, 1]], 517/165150720], [[[1, 4], [2, 9], [4, 4], [6, 2]], 38657/743178240], [[[1, 4], [2, 9], [4, 4], [8, 1]], 780943/11890851840], [[[1, 4], [2, 9], [4, 4], [10, 1]], 19741/743178240], [[[1, 4], [2, 9], [4, 4], [12, 1]], 1313/123863040], [[[1, 4], [2, 9], [4, 5], [6, 1]], 2353/220200960], [[[1, 4], [2, 9], [5, 1], [6, 4]], 17/1036800], [[[1, 4], [2, 9], [5, 1], [10, 2]], 1/25600], [[[1, 4], [2, 9], [5, 2], [10, 1]], 1/230400], [[[1, 4], [2, 9], [6, 2], [10, 2]], 64301/331776000], [[[1, 4], [2, 9], [6, 3], [14, 1]], 4607/34836480], [[[1, 4], [2, 9], [6, 4], [8, 1]], 49/2949120], [[[1, 4], [2, 9], [6, 4], [10, 1]], 12269/149299200], [[[1, 4], [2, 9], [7, 1], [14, 1]], 3/286720], [[[1, 4], [2, 9], [8, 1], [10, 2]], 733/33177600], [[[1, 4], [2, 11], [3, 1], [4, 4]], 41/198180864], [[[1, 4], [2, 11], [3, 1], [6, 4]], 196807/2508226560], [[[1, 4], [2, 11], [3, 1], [10, 2]], 139/49766400], [[[1, 4], [2, 11], [3, 2], [4, 3]], 1/84934656], [[[1, 4], [2, 11], [3, 2], [6, 3]], 4031/104509440], [[[1, 4], [2, 11], [3, 2], [14, 1]], 83/390168576], [[[1, 4], [2, 11], [3, 3], [6, 2]], 41/39813120], [[[1, 4], [2, 11], [4, 1], [6, 4]], 31699/334430208], [[[1, 4], [2, 11], [4, 1], [8, 2]], 493/849346560], [[[1, 4], [2, 11], [4, 1], [10, 2]], 12121/193536000], [[[1, 4], [2, 11], [4, 2], [6, 3]], 3127/24772608], [[[1, 4], [2, 11], [4, 2], [7, 1]], 1/33030144], [[[1, 4], [2, 11], [4, 2], [14, 1]], 2141/77070336], [[[1, 4], [2, 11], [4, 3], [5, 1]], 11/17694720], [[[1, 4], [2, 11], [4, 3], [6, 2]], 3164023/66886041600], [[[1, 4], [2, 11], [4, 3], [8, 1]], 671/88080384], [[[1, 4], [2, 11], [4, 3], [10, 1]], 88567/7431782400], [[[1, 4], [2, 11], [4, 3], [12, 1]], 41/42467328], [[[1, 4], [2, 11], [4, 4], [6, 1]], 702263/89181388800], [[[1, 4], [2, 11], [5, 1], [6, 3]], 887/116121600], [[[1, 4], [2, 11], [5, 1], [14, 1]], 83/108380160], [[[1, 4], [2, 11], [6, 1], [10, 2]], 21437/278691840], [[[1, 4], [2, 11], [6, 2], [14, 1]], 82211/1300561920], [[[1, 4], [2, 11], [6, 3], [8, 1]], 2003/174182400], [[[1, 4], [2, 11], [6, 3], [10, 1]], 158717/1672151040], [[[1, 4], [2, 11], [8, 1], [14, 1]], 1/580608], [[[1, 4], [2, 11], [10, 1], [14, 1]], 17837/650280960], [[[1, 4], [2, 13], [3, 1], [4, 3]], 527/3963617280], [[[1, 4], [2, 13], [3, 1], [6, 3]], 3181799/200658124800], [[[1, 4], [2, 13], [3, 1], [14, 1]], 313/3901685760], [[[1, 4], [2, 13], [3, 2], [4, 2]], 73/8918138880], [[[1, 4], [2, 13], [3, 2], [6, 2]], 23353/16721510400], [[[1, 4], [2, 13], [3, 2], [10, 1]], 13/209018880], [[[1, 4], [2, 13], [3, 3], [6, 1]], 1/92897280], [[[1, 4], [2, 13], [4, 1], [6, 3]], 108701/3344302080], [[[1, 4], [2, 13], [4, 1], [14, 1]], 355849/104044953600], [[[1, 4], [2, 13], [4, 2], [5, 1]], 107/928972800], [[[1, 4], [2, 13], [4, 2], [6, 2]], 43457/1981808640], [[[1, 4], [2, 13], [4, 2], [8, 1]], 31603/39636172800], [[[1, 4], [2, 13], [4, 2], [10, 1]], 9713/1238630400], [[[1, 4], [2, 13], [4, 2], [12, 1]], 91/637009920], [[[1, 4], [2, 13], [4, 3], [6, 1]], 2358137/535088332800], [[[1, 4], [2, 13], [5, 1], [6, 2]], 2039/2322432000], [[[1, 4], [2, 13], [5, 1], [10, 1]], 71/309657600], [[[1, 4], [2, 13], [6, 1], [14, 1]], 33281/5573836800], [[[1, 4], [2, 13], [6, 2], [8, 1]], 5651/2786918400], [[[1, 4], [2, 13], [6, 2], [10, 1]], 1065559/41803776000], [[[1, 4], [2, 13], [8, 1], [10, 1]], 119/199065600], [[[1, 4], [2, 15], [3, 1], [4, 2]], 7409/332943851520], [[[1, 4], [2, 15], [3, 1], [6, 2]], 166279/200658124800], [[[1, 4], [2, 15], [3, 1], [8, 1]], 4307/1498247331840], [[[1, 4], [2, 15], [3, 1], [10, 1]], 107/4777574400], [[[1, 4], [2, 15], [3, 2], [4, 1]], 5797/3745618329600], [[[1, 4], [2, 15], [3, 2], [6, 1]], 19/1672151040], [[[1, 4], [2, 15], [4, 1], [5, 1]], 56317/6242697216000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 4526741/1337720832000], [[[1, 4], [2, 15], [4, 1], [8, 1]], 168589/3329438515200], [[[1, 4], [2, 15], [4, 1], [10, 1]], 5697919/6242697216000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 4307/749123665920], [[[1, 4], [2, 15], [4, 2], [6, 1]], 152527/118908518400], [[[1, 4], [2, 15], [5, 1], [6, 1]], 11/371589120], [[[1, 4], [2, 15], [6, 1], [8, 1]], 83801/832359628800], [[[1, 4], [2, 15], [6, 1], [10, 1]], 952853/535088332800], [[[1, 4], [2, 17], [3, 1], [4, 1]], 907/713451110400], [[[1, 4], [2, 17], [3, 1], [6, 1]], 31547/2809213747200], [[[1, 4], [2, 17], [4, 1], [6, 1]], 1717283/14982473318400], [[[1, 5], [2, 2], [3, 3], [5, 3]], 1/72000], [[[1, 5], [2, 2], [3, 3], [7, 2]], 1/21168], [[[1, 5], [2, 2], [4, 3], [7, 2]], 1/129024], [[[1, 5], [2, 2], [4, 3], [8, 3]], 29/393216], [[[1, 5], [2, 2], [4, 5], [8, 2]], 43/589824], [[[1, 5], [2, 2], [4, 6], [14, 1]], 1/1376256], [[[1, 5], [2, 2], [4, 7], [8, 1]], 1/1572864], [[[1, 5], [2, 2], [7, 1], [14, 2]], 1/9408], [[[1, 5], [2, 2], [7, 2], [14, 1]], 1/3136], [[[1, 5], [2, 4], [3, 1], [4, 7]], 1/884736], [[[1, 5], [2, 4], [3, 2], [4, 6]], 1/294912], [[[1, 5], [2, 4], [3, 2], [5, 3]], 13/576000], [[[1, 5], [2, 4], [3, 2], [7, 2]], 37/1354752], [[[1, 5], [2, 4], [3, 2], [14, 2]], 1/225792], [[[1, 5], [2, 4], [3, 3], [4, 5]], 5/663552], [[[1, 5], [2, 4], [3, 4], [4, 4]], 47/15925248], [[[1, 5], [2, 4], [3, 4], [5, 2]], 37/6220800], [[[1, 5], [2, 4], [3, 5], [4, 3]], 1/2985984], [[[1, 5], [2, 4], [4, 2], [7, 2]], 617/2408448], [[[1, 5], [2, 4], [4, 2], [8, 3]], 343/2359296], [[[1, 5], [2, 4], [4, 2], [14, 2]], 71/802816], [[[1, 5], [2, 4], [4, 4], [5, 2]], 1/737280], [[[1, 5], [2, 4], [4, 4], [6, 4]], 1/15925248], [[[1, 5], [2, 4], [4, 4], [8, 2]], 2489/4718592], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/1228800], [[[1, 5], [2, 4], [4, 5], [6, 3]], 1/884736], [[[1, 5], [2, 4], [4, 5], [7, 1]], 23/1376256], [[[1, 5], [2, 4], [4, 5], [14, 1]], 9/458752], [[[1, 5], [2, 4], [4, 6], [5, 1]], 5/1179648], [[[1, 5], [2, 4], [4, 6], [6, 2]], 25/7077888], [[[1, 5], [2, 4], [4, 6], [8, 1]], 105/1048576], [[[1, 5], [2, 4], [4, 6], [10, 1]], 7/1474560], [[[1, 5], [2, 4], [4, 6], [12, 1]], 1/73728], [[[1, 5], [2, 4], [4, 7], [6, 1]], 1/1179648], [[[1, 5], [2, 4], [5, 1], [7, 2]], 13/125440], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/62720], [[[1, 5], [2, 4], [6, 2], [7, 2]], 1/75264], [[[1, 5], [2, 4], [6, 2], [10, 3]], 1/576000], [[[1, 5], [2, 4], [6, 2], [14, 2]], 1/1354752], [[[1, 5], [2, 4], [6, 4], [10, 2]], 1/6220800], [[[1, 5], [2, 4], [7, 2], [8, 1]], 5/129024], [[[1, 5], [2, 4], [7, 2], [10, 1]], 3/62720], [[[1, 5], [2, 4], [8, 1], [14, 2]], 3/200704], [[[1, 5], [2, 4], [10, 1], [14, 2]], 1/125440], [[[1, 5], [2, 6], [3, 1], [4, 6]], 193/9437184], [[[1, 5], [2, 6], [3, 1], [5, 3]], 1/192000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/1119744], [[[1, 5], [2, 6], [3, 1], [7, 2]], 1/211680], [[[1, 5], [2, 6], [3, 1], [14, 2]], 1/42336], [[[1, 5], [2, 6], [3, 2], [4, 5]], 295/7077888], [[[1, 5], [2, 6], [3, 2], [6, 5]], 59/1119744], [[[1, 5], [2, 6], [3, 3], [4, 4]], 11/884736], [[[1, 5], [2, 6], [3, 3], [5, 2]], 23/7776000], [[[1, 5], [2, 6], [3, 3], [6, 4]], 65/248832], [[[1, 5], [2, 6], [3, 4], [4, 3]], 7/7962624], [[[1, 5], [2, 6], [3, 4], [6, 3]], 119/746496], [[[1, 5], [2, 6], [3, 4], [7, 1]], 1/3483648], [[[1, 5], [2, 6], [3, 5], [5, 1]], 1/7464960], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/186624], [[[1, 5], [2, 6], [3, 5], [8, 1]], 1/5971968], [[[1, 5], [2, 6], [4, 1], [5, 3]], 1/128000], [[[1, 5], [2, 6], [4, 1], [7, 2]], 221/6021120], [[[1, 5], [2, 6], [4, 1], [10, 3]], 11/384000], [[[1, 5], [2, 6], [4, 1], [14, 2]], 2879/18063360], [[[1, 5], [2, 6], [4, 2], [6, 5]], 11/3981312], [[[1, 5], [2, 6], [4, 3], [5, 2]], 17/614400], [[[1, 5], [2, 6], [4, 3], [6, 4]], 211/7962624], [[[1, 5], [2, 6], [4, 3], [8, 2]], 1589/1966080], [[[1, 5], [2, 6], [4, 3], [10, 2]], 77/1843200], [[[1, 5], [2, 6], [4, 4], [6, 3]], 1247/15925248], [[[1, 5], [2, 6], [4, 4], [7, 1]], 67/589824], [[[1, 5], [2, 6], [4, 4], [14, 1]], 2479/16515072], [[[1, 5], [2, 6], [4, 5], [5, 1]], 27/655360], [[[1, 5], [2, 6], [4, 5], [6, 2]], 395/7077888], [[[1, 5], [2, 6], [4, 5], [8, 1]], 127429/283115520], [[[1, 5], [2, 6], [4, 5], [10, 1]], 97/1966080], [[[1, 5], [2, 6], [4, 5], [12, 1]], 25/294912], [[[1, 5], [2, 6], [4, 6], [6, 1]], 143/5898240], [[[1, 5], [2, 6], [5, 1], [6, 5]], 1/622080], [[[1, 5], [2, 6], [5, 2], [7, 1]], 1/89600], [[[1, 5], [2, 6], [6, 1], [7, 2]], 1/100352], [[[1, 5], [2, 6], [6, 1], [10, 3]], 11/288000], [[[1, 5], [2, 6], [6, 1], [14, 2]], 137/2709504], [[[1, 5], [2, 6], [6, 3], [10, 2]], 77/2488320], [[[1, 5], [2, 6], [6, 4], [14, 1]], 5/870912], [[[1, 5], [2, 6], [6, 5], [8, 1]], 1/663552], [[[1, 5], [2, 6], [6, 5], [10, 1]], 1/373248], [[[1, 5], [2, 6], [10, 2], [14, 1]], 11/134400], [[[1, 5], [2, 8], [3, 1], [4, 5]], 71/2097152], [[[1, 5], [2, 8], [3, 1], [6, 5]], 311/5971968], [[[1, 5], [2, 8], [3, 2], [4, 4]], 1711/212336640], [[[1, 5], [2, 8], [3, 2], [5, 2]], 161/663552000], [[[1, 5], [2, 8], [3, 2], [6, 4]], 50801/179159040], [[[1, 5], [2, 8], [3, 2], [10, 2]], 1/103680], [[[1, 5], [2, 8], [3, 3], [4, 3]], 1/589824], [[[1, 5], [2, 8], [3, 3], [6, 3]], 203/829440], [[[1, 5], [2, 8], [3, 3], [7, 1]], 1/8709120], [[[1, 5], [2, 8], [3, 4], [4, 2]], 91/318504960], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1/18662400], [[[1, 5], [2, 8], [3, 4], [6, 2]], 131/11943936], [[[1, 5], [2, 8], [3, 4], [8, 1]], 1/15925248], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/39813120], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/5971968], [[[1, 5], [2, 8], [4, 1], [6, 5]], 3113/119439360], [[[1, 5], [2, 8], [4, 2], [5, 2]], 121/14745600], [[[1, 5], [2, 8], [4, 2], [6, 4]], 4403/31850496], [[[1, 5], [2, 8], [4, 2], [8, 2]], 15689/82575360], [[[1, 5], [2, 8], [4, 2], [10, 2]], 341/2457600], [[[1, 5], [2, 8], [4, 3], [6, 3]], 43633/159252480], [[[1, 5], [2, 8], [4, 3], [7, 1]], 523/13762560], [[[1, 5], [2, 8], [4, 3], [14, 1]], 2393/12386304], [[[1, 5], [2, 8], [4, 4], [5, 1]], 137/4128768], [[[1, 5], [2, 8], [4, 4], [6, 2]], 79181/424673280], [[[1, 5], [2, 8], [4, 4], [8, 1]], 535949/1321205760], [[[1, 5], [2, 8], [4, 4], [10, 1]], 13423/117964800], [[[1, 5], [2, 8], [4, 4], [12, 1]], 8257/123863040], [[[1, 5], [2, 8], [4, 5], [6, 1]], 2633/31457280], [[[1, 5], [2, 8], [5, 1], [6, 4]], 23/1244160], [[[1, 5], [2, 8], [5, 1], [10, 2]], 37/230400], [[[1, 5], [2, 8], [5, 2], [8, 1]], 1/1228800], [[[1, 5], [2, 8], [5, 2], [10, 1]], 1/25600], [[[1, 5], [2, 8], [6, 2], [10, 2]], 48917/331776000], [[[1, 5], [2, 8], [6, 3], [14, 1]], 347/4354560], [[[1, 5], [2, 8], [6, 4], [8, 1]], 139/8847360], [[[1, 5], [2, 8], [6, 4], [10, 1]], 6997/149299200], [[[1, 5], [2, 8], [7, 1], [14, 1]], 169/3612672], [[[1, 5], [2, 8], [8, 1], [10, 2]], 359/11059200], [[[1, 5], [2, 10], [3, 1], [4, 4]], 241/66060288], [[[1, 5], [2, 10], [3, 1], [5, 2]], 1/221184000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 14711/119439360], [[[1, 5], [2, 10], [3, 1], [10, 2]], 493/49766400], [[[1, 5], [2, 10], [3, 2], [4, 3]], 31/37158912], [[[1, 5], [2, 10], [3, 2], [6, 3]], 168743/1254113280], [[[1, 5], [2, 10], [3, 2], [7, 1]], 1/371589120], [[[1, 5], [2, 10], [3, 2], [14, 1]], 143/130056192], [[[1, 5], [2, 10], [3, 3], [4, 2]], 11/106168320], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1/796262400], [[[1, 5], [2, 10], [3, 3], [6, 2]], 1007/92897280], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/477757440], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1/14929920], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1/36864000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 143411/1194393600], [[[1, 5], [2, 10], [4, 1], [8, 2]], 997/169869312], [[[1, 5], [2, 10], [4, 1], [10, 2]], 72671/580608000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 239/884736], [[[1, 5], [2, 10], [4, 2], [7, 1]], 137/165150720], [[[1, 5], [2, 10], [4, 2], [14, 1]], 337769/3468165120], [[[1, 5], [2, 10], [4, 3], [5, 1]], 2153/247726080], [[[1, 5], [2, 10], [4, 3], [6, 2]], 151369/743178240], [[[1, 5], [2, 10], [4, 3], [8, 1]], 110203/1585446912], [[[1, 5], [2, 10], [4, 3], [10, 1]], 38003/530841600], [[[1, 5], [2, 10], [4, 3], [12, 1]], 563/49545216], [[[1, 5], [2, 10], [4, 4], [6, 1]], 999629/17836277760], [[[1, 5], [2, 10], [5, 1], [6, 3]], 263/12441600], [[[1, 5], [2, 10], [5, 1], [7, 1]], 1/103219200], [[[1, 5], [2, 10], [5, 1], [14, 1]], 143/36126720], [[[1, 5], [2, 10], [6, 1], [10, 2]], 97603/870912000], [[[1, 5], [2, 10], [6, 2], [14, 1]], 59471/650280960], [[[1, 5], [2, 10], [6, 3], [8, 1]], 1033/46448640], [[[1, 5], [2, 10], [6, 3], [10, 1]], 94253/836075520], [[[1, 5], [2, 10], [7, 1], [8, 1]], 1/16515072], [[[1, 5], [2, 10], [8, 1], [14, 1]], 14171/2601123840], [[[1, 5], [2, 10], [10, 1], [14, 1]], 41269/812851200], [[[1, 5], [2, 12], [3, 1], [4, 3]], 5231/3963617280], [[[1, 5], [2, 12], [3, 1], [6, 3]], 4990409/100329062400], [[[1, 5], [2, 12], [3, 1], [14, 1]], 467/780337152], [[[1, 5], [2, 12], [3, 2], [4, 2]], 85/509607936], [[[1, 5], [2, 12], [3, 2], [6, 2]], 115891/12541132800], [[[1, 5], [2, 12], [3, 2], [10, 1]], 113/278691840], [[[1, 5], [2, 12], [3, 3], [6, 1]], 607/4459069440], [[[1, 5], [2, 12], [4, 1], [6, 3]], 7165271/83607552000], [[[1, 5], [2, 12], [4, 1], [7, 1]], 1/198180864], [[[1, 5], [2, 12], [4, 1], [14, 1]], 149897/10404495360], [[[1, 5], [2, 12], [4, 2], [5, 1]], 93011/74317824000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 8294687/89181388800], [[[1, 5], [2, 12], [4, 2], [8, 1]], 17161/2972712960], [[[1, 5], [2, 12], [4, 2], [10, 1]], 37831/1061683200], [[[1, 5], [2, 12], [4, 2], [12, 1]], 24193/22295347200], [[[1, 5], [2, 12], [4, 3], [6, 1]], 5499343/178362777600], [[[1, 5], [2, 12], [5, 1], [6, 2]], 4099/870912000], [[[1, 5], [2, 12], [5, 1], [10, 1]], 1553/928972800], [[[1, 5], [2, 12], [6, 1], [14, 1]], 662269/39016857600], [[[1, 5], [2, 12], [6, 2], [8, 1]], 7433/1061683200], [[[1, 5], [2, 12], [6, 2], [10, 1]], 290911/5225472000], [[[1, 5], [2, 12], [8, 1], [10, 1]], 27611/11147673600], [[[1, 5], [2, 14], [3, 1], [4, 2]], 1123781/4994157772800], [[[1, 5], [2, 14], [3, 1], [6, 2]], 122581/26754416640], [[[1, 5], [2, 14], [3, 1], [8, 1]], 3977/178362777600], [[[1, 5], [2, 14], [3, 1], [10, 1]], 1637/8360755200], [[[1, 5], [2, 14], [3, 2], [4, 1]], 91/3822059520], [[[1, 5], [2, 14], [3, 2], [6, 1]], 24631/200658124800], [[[1, 5], [2, 14], [4, 1], [5, 1]], 16717/148635648000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 41187221/2675441664000], [[[1, 5], [2, 14], [4, 1], [8, 1]], 245981/665887703040], [[[1, 5], [2, 14], [4, 1], [10, 1]], 1049113/222953472000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 3977/89181388800], [[[1, 5], [2, 14], [4, 2], [6, 1]], 3063499/356725555200], [[[1, 5], [2, 14], [5, 1], [6, 1]], 7313/27869184000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 2243/3963617280], [[[1, 5], [2, 14], [6, 1], [10, 1]], 17419469/2675441664000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 30661/1997663109120], [[[1, 5], [2, 16], [3, 1], [6, 1]], 1516213/14982473318400], [[[1, 5], [2, 16], [4, 1], [6, 1]], 120642103/149824733184000], [[[1, 5], [3, 1], [4, 3], [8, 3]], 1/49152], [[[1, 5], [3, 2], [4, 2], [7, 2]], 1/112896], [[[1, 5], [3, 2], [5, 1], [7, 2]], 1/8820], [[[1, 5], [3, 3], [5, 2], [7, 1]], 1/37800], [[[1, 5], [3, 4], [4, 2], [5, 2]], 1/518400], [[[1, 5], [4, 4], [5, 1], [8, 2]], 1/40960], [[[1, 5], [4, 4], [8, 1], [16, 1]], 1/147456], [[[1, 5], [4, 4], [8, 2], [12, 1]], 1/24576], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/72000], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/9408], [[[1, 6], [2, 1], [3, 5], [5, 2]], 1/388800], [[[1, 6], [2, 1], [4, 3], [7, 2]], 1/903168], [[[1, 6], [2, 1], [4, 3], [8, 3]], 7/393216], [[[1, 6], [2, 1], [4, 5], [8, 2]], 23/1179648], [[[1, 6], [2, 1], [4, 7], [8, 1]], 1/1572864], [[[1, 6], [2, 3], [3, 1], [4, 7]], 1/884736], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/16000], [[[1, 6], [2, 3], [3, 2], [7, 2]], 19/112896], [[[1, 6], [2, 3], [3, 3], [4, 5]], 17/2654208], [[[1, 6], [2, 3], [3, 4], [4, 4]], 139/15925248], [[[1, 6], [2, 3], [3, 4], [5, 2]], 11/518400], [[[1, 6], [2, 3], [3, 5], [4, 3]], 1/331776], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/217728], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/2985984], [[[1, 6], [2, 3], [4, 2], [7, 2]], 487/2408448], [[[1, 6], [2, 3], [4, 2], [8, 3]], 199/2359296], [[[1, 6], [2, 3], [4, 2], [14, 2]], 1/573440], [[[1, 6], [2, 3], [4, 4], [5, 2]], 7/11059200], [[[1, 6], [2, 3], [4, 4], [8, 2]], 3329/11796480], [[[1, 6], [2, 3], [4, 5], [7, 1]], 17/1376256], [[[1, 6], [2, 3], [4, 5], [14, 1]], 1/65536], [[[1, 6], [2, 3], [4, 6], [5, 1]], 1/655360], [[[1, 6], [2, 3], [4, 6], [6, 2]], 1/7077888], [[[1, 6], [2, 3], [4, 6], [8, 1]], 271/9437184], [[[1, 6], [2, 3], [4, 6], [10, 1]], 1/1966080], [[[1, 6], [2, 3], [4, 6], [12, 1]], 1/393216], [[[1, 6], [2, 3], [4, 7], [6, 1]], 1/1179648], [[[1, 6], [2, 3], [5, 1], [7, 2]], 9/31360], [[[1, 6], [2, 3], [6, 2], [7, 2]], 1/96768], [[[1, 6], [2, 3], [7, 2], [8, 1]], 5/129024], [[[1, 6], [2, 3], [7, 2], [10, 1]], 1/26880], [[[1, 6], [2, 3], [8, 1], [14, 2]], 1/602112], [[[1, 6], [2, 5], [3, 1], [4, 6]], 143/5898240], [[[1, 6], [2, 5], [3, 1], [5, 3]], 11/288000], [[[1, 6], [2, 5], [3, 1], [7, 2]], 137/2709504], [[[1, 6], [2, 5], [3, 1], [14, 2]], 1/100352], [[[1, 6], [2, 5], [3, 2], [4, 5]], 395/7077888], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/186624], [[[1, 6], [2, 5], [3, 3], [4, 4]], 1247/15925248], [[[1, 6], [2, 5], [3, 3], [5, 2]], 77/2488320], [[[1, 6], [2, 5], [3, 3], [6, 4]], 119/746496], [[[1, 6], [2, 5], [3, 4], [4, 3]], 211/7962624], [[[1, 6], [2, 5], [3, 4], [6, 3]], 65/248832], [[[1, 6], [2, 5], [3, 4], [7, 1]], 5/870912], [[[1, 6], [2, 5], [3, 5], [4, 2]], 11/3981312], [[[1, 6], [2, 5], [3, 5], [5, 1]], 1/373248], [[[1, 6], [2, 5], [3, 5], [6, 2]], 59/1119744], [[[1, 6], [2, 5], [3, 5], [8, 1]], 1/663552], [[[1, 6], [2, 5], [3, 5], [10, 1]], 1/622080], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/1119744], [[[1, 6], [2, 5], [4, 1], [5, 3]], 11/384000], [[[1, 6], [2, 5], [4, 1], [7, 2]], 2879/18063360], [[[1, 6], [2, 5], [4, 1], [10, 3]], 1/128000], [[[1, 6], [2, 5], [4, 1], [14, 2]], 221/6021120], [[[1, 6], [2, 5], [4, 3], [5, 2]], 77/1843200], [[[1, 6], [2, 5], [4, 3], [6, 4]], 7/7962624], [[[1, 6], [2, 5], [4, 3], [8, 2]], 1589/1966080], [[[1, 6], [2, 5], [4, 3], [10, 2]], 17/614400], [[[1, 6], [2, 5], [4, 4], [6, 3]], 11/884736], [[[1, 6], [2, 5], [4, 4], [7, 1]], 2479/16515072], [[[1, 6], [2, 5], [4, 4], [14, 1]], 67/589824], [[[1, 6], [2, 5], [4, 5], [5, 1]], 97/1966080], [[[1, 6], [2, 5], [4, 5], [6, 2]], 295/7077888], [[[1, 6], [2, 5], [4, 5], [8, 1]], 127429/283115520], [[[1, 6], [2, 5], [4, 5], [10, 1]], 27/655360], [[[1, 6], [2, 5], [4, 5], [12, 1]], 25/294912], [[[1, 6], [2, 5], [4, 6], [6, 1]], 193/9437184], [[[1, 6], [2, 5], [5, 2], [7, 1]], 11/134400], [[[1, 6], [2, 5], [6, 1], [7, 2]], 1/42336], [[[1, 6], [2, 5], [6, 1], [10, 3]], 1/192000], [[[1, 6], [2, 5], [6, 1], [14, 2]], 1/211680], [[[1, 6], [2, 5], [6, 3], [10, 2]], 23/7776000], [[[1, 6], [2, 5], [6, 4], [14, 1]], 1/3483648], [[[1, 6], [2, 5], [6, 5], [8, 1]], 1/5971968], [[[1, 6], [2, 5], [6, 5], [10, 1]], 1/7464960], [[[1, 6], [2, 5], [10, 2], [14, 1]], 1/89600], [[[1, 6], [2, 7], [3, 1], [4, 5]], 2135/18874368], [[[1, 6], [2, 7], [3, 1], [6, 5]], 101/5971968], [[[1, 6], [2, 7], [3, 2], [4, 4]], 2083/21233664], [[[1, 6], [2, 7], [3, 2], [5, 2]], 179/20736000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 2617/11943936], [[[1, 6], [2, 7], [3, 2], [10, 2]], 11/1382400], [[[1, 6], [2, 7], [3, 3], [4, 3]], 4363/159252480], [[[1, 6], [2, 7], [3, 3], [6, 3]], 277/497664], [[[1, 6], [2, 7], [3, 3], [7, 1]], 83/34836480], [[[1, 6], [2, 7], [3, 4], [4, 2]], 371/79626240], [[[1, 6], [2, 7], [3, 4], [5, 1]], 241/149299200], [[[1, 6], [2, 7], [3, 4], [6, 2]], 839/11943936], [[[1, 6], [2, 7], [3, 4], [8, 1]], 19/15925248], [[[1, 6], [2, 7], [3, 4], [10, 1]], 1/1658880], [[[1, 6], [2, 7], [3, 5], [4, 1]], 23/39813120], [[[1, 6], [2, 7], [3, 5], [6, 1]], 53/17915904], [[[1, 6], [2, 7], [4, 1], [6, 5]], 71/13271040], [[[1, 6], [2, 7], [4, 2], [5, 2]], 371/6912000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 3251/79626240], [[[1, 6], [2, 7], [4, 2], [8, 2]], 391637/990904320], [[[1, 6], [2, 7], [4, 2], [10, 2]], 2353/18432000], [[[1, 6], [2, 7], [4, 3], [6, 3]], 317/1990656], [[[1, 6], [2, 7], [4, 3], [7, 1]], 843/4587520], [[[1, 6], [2, 7], [4, 3], [14, 1]], 18883/61931520], [[[1, 6], [2, 7], [4, 4], [5, 1]], 24997/176947200], [[[1, 6], [2, 7], [4, 4], [6, 2]], 19535/84934656], [[[1, 6], [2, 7], [4, 4], [8, 1]], 488713/566231040], [[[1, 6], [2, 7], [4, 4], [10, 1]], 14099/70778880], [[[1, 6], [2, 7], [4, 4], [12, 1]], 1411/8847360], [[[1, 6], [2, 7], [4, 5], [6, 1]], 8749/56623104], [[[1, 6], [2, 7], [5, 1], [6, 4]], 13/1658880], [[[1, 6], [2, 7], [5, 1], [10, 2]], 263/1152000], [[[1, 6], [2, 7], [5, 2], [6, 2]], 1/460800], [[[1, 6], [2, 7], [5, 2], [8, 1]], 29/3686400], [[[1, 6], [2, 7], [5, 2], [10, 1]], 53/384000], [[[1, 6], [2, 7], [6, 2], [10, 2]], 791/13824000], [[[1, 6], [2, 7], [6, 3], [14, 1]], 31/1451520], [[[1, 6], [2, 7], [6, 4], [8, 1]], 335/47775744], [[[1, 6], [2, 7], [6, 4], [10, 1]], 2173/149299200], [[[1, 6], [2, 7], [7, 1], [14, 1]], 95/1032192], [[[1, 6], [2, 7], [8, 1], [10, 2]], 53/2211840], [[[1, 6], [2, 9], [3, 1], [4, 4]], 499927/9909043200], [[[1, 6], [2, 9], [3, 1], [5, 2]], 143/331776000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 12583/119439360], [[[1, 6], [2, 9], [3, 1], [10, 2]], 293/16588800], [[[1, 6], [2, 9], [3, 2], [4, 3]], 12841/990904320], [[[1, 6], [2, 9], [3, 2], [6, 3]], 3911/14929920], [[[1, 6], [2, 9], [3, 2], [7, 1]], 1/3440640], [[[1, 6], [2, 9], [3, 2], [14, 1]], 239/92897280], [[[1, 6], [2, 9], [3, 3], [4, 2]], 407/159252480], [[[1, 6], [2, 9], [3, 3], [5, 1]], 43/199065600], [[[1, 6], [2, 9], [3, 3], [6, 2]], 373/6635520], [[[1, 6], [2, 9], [3, 3], [8, 1]], 7/31850496], [[[1, 6], [2, 9], [3, 4], [4, 1]], 25/95551488], [[[1, 6], [2, 9], [3, 4], [6, 1]], 179/119439360], [[[1, 6], [2, 9], [4, 1], [5, 2]], 49/13824000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 643/8294400], [[[1, 6], [2, 9], [4, 1], [8, 2]], 76751/2972712960], [[[1, 6], [2, 9], [4, 1], [10, 2]], 7751/55296000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 43031/159252480], [[[1, 6], [2, 9], [4, 2], [7, 1]], 361/22020096], [[[1, 6], [2, 9], [4, 2], [14, 1]], 1037/5734400], [[[1, 6], [2, 9], [4, 3], [5, 1]], 28843/495452160], [[[1, 6], [2, 9], [4, 3], [6, 2]], 78467/212336640], [[[1, 6], [2, 9], [4, 3], [8, 1]], 4397231/13212057600], [[[1, 6], [2, 9], [4, 3], [10, 1]], 402049/1857945600], [[[1, 6], [2, 9], [4, 3], [12, 1]], 2689/49545216], [[[1, 6], [2, 9], [4, 4], [6, 1]], 61159/283115520], [[[1, 6], [2, 9], [5, 1], [6, 3]], 437/16588800], [[[1, 6], [2, 9], [5, 1], [7, 1]], 19/30965760], [[[1, 6], [2, 9], [5, 1], [14, 1]], 239/25804800], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/1843200], [[[1, 6], [2, 9], [6, 1], [10, 2]], 31289/331776000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 1/6193152], [[[1, 6], [2, 9], [6, 2], [14, 1]], 9217/132710400], [[[1, 6], [2, 9], [6, 3], [8, 1]], 2747/119439360], [[[1, 6], [2, 9], [6, 3], [10, 1]], 17111/221184000], [[[1, 6], [2, 9], [7, 1], [8, 1]], 13/16515072], [[[1, 6], [2, 9], [7, 1], [10, 1]], 1/1720320], [[[1, 6], [2, 9], [8, 1], [14, 1]], 7949/867041280], [[[1, 6], [2, 9], [10, 1], [14, 1]], 4699/92897280], [[[1, 6], [2, 11], [3, 1], [4, 3]], 101873/11890851840], [[[1, 6], [2, 11], [3, 1], [6, 3]], 592481/6688604160], [[[1, 6], [2, 11], [3, 1], [7, 1]], 11/743178240], [[[1, 6], [2, 11], [3, 1], [14, 1]], 143/60963840], [[[1, 6], [2, 11], [3, 2], [4, 2]], 9797/5945425920], [[[1, 6], [2, 11], [3, 2], [5, 1]], 7/796262400], [[[1, 6], [2, 11], [3, 2], [6, 2]], 920107/26754416640], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1/84934656], [[[1, 6], [2, 11], [3, 2], [10, 1]], 1909/1393459200], [[[1, 6], [2, 11], [3, 3], [4, 1]], 1/26542080], [[[1, 6], [2, 11], [3, 3], [6, 1]], 12529/13377208320], [[[1, 6], [2, 11], [4, 1], [6, 3]], 245683/1990656000], [[[1, 6], [2, 11], [4, 1], [7, 1]], 163/990904320], [[[1, 6], [2, 11], [4, 1], [14, 1]], 346823/10404495360], [[[1, 6], [2, 11], [4, 2], [5, 1]], 10909/1238630400], [[[1, 6], [2, 11], [4, 2], [6, 2]], 30561383/148635648000], [[[1, 6], [2, 11], [4, 2], [8, 1]], 723539/23781703680], [[[1, 6], [2, 11], [4, 2], [10, 1]], 674081/7077888000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 841/169869312], [[[1, 6], [2, 11], [4, 3], [6, 1]], 20998723/178362777600], [[[1, 6], [2, 11], [5, 1], [6, 2]], 983/77414400], [[[1, 6], [2, 11], [5, 1], [8, 1]], 1/23592960], [[[1, 6], [2, 11], [5, 1], [10, 1]], 1427/193536000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 1/24772608], [[[1, 6], [2, 11], [6, 1], [14, 1]], 42863/1560674304], [[[1, 6], [2, 11], [6, 2], [8, 1]], 66043/4777574400], [[[1, 6], [2, 11], [6, 2], [10, 1]], 3069037/41803776000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 79/13271040], [[[1, 6], [2, 13], [3, 1], [4, 2]], 171539/118908518400], [[[1, 6], [2, 13], [3, 1], [5, 1]], 1/8493465600], [[[1, 6], [2, 13], [3, 1], [6, 2]], 1002241/66886041600], [[[1, 6], [2, 13], [3, 1], [8, 1]], 2633/25480396800], [[[1, 6], [2, 13], [3, 1], [10, 1]], 16157/16721510400], [[[1, 6], [2, 13], [3, 2], [4, 1]], 97297/535088332800], [[[1, 6], [2, 13], [3, 2], [6, 1]], 20653/26754416640], [[[1, 6], [2, 13], [4, 1], [5, 1]], 2411/3096576000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 6090337/148635648000], [[[1, 6], [2, 13], [4, 1], [8, 1]], 827677/475634073600], [[[1, 6], [2, 13], [4, 1], [10, 1]], 927569/63700992000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 2633/12740198400], [[[1, 6], [2, 13], [4, 2], [6, 1]], 16877971/509607936000], [[[1, 6], [2, 13], [5, 1], [6, 1]], 23711/18579456000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 1020079/535088332800], [[[1, 6], [2, 13], [6, 1], [10, 1]], 9975233/668860416000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 3566267/29964946636800], [[[1, 6], [2, 15], [3, 1], [6, 1]], 239389/428070666240], [[[1, 6], [2, 15], [4, 1], [6, 1]], 19391453/5549064192000], [[[1, 7], [2, 2], [3, 2], [5, 3]], 1/14400], [[[1, 7], [2, 2], [3, 2], [7, 2]], 1/4032], [[[1, 7], [2, 2], [3, 4], [4, 4]], 31/5308416], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/25920], [[[1, 7], [2, 2], [3, 5], [4, 3]], 5/995328], [[[1, 7], [2, 2], [3, 5], [7, 1]], 1/54432], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/995328], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/466560], [[[1, 7], [2, 2], [4, 2], [7, 2]], 83/2408448], [[[1, 7], [2, 2], [4, 2], [8, 3]], 53/2359296], [[[1, 7], [2, 2], [4, 2], [14, 2]], 1/12042240], [[[1, 7], [2, 2], [4, 4], [5, 2]], 1/11059200], [[[1, 7], [2, 2], [4, 4], [8, 2]], 509/11796480], [[[1, 7], [2, 2], [4, 6], [5, 1]], 1/655360], [[[1, 7], [2, 2], [4, 6], [8, 1]], 53/4718592], [[[1, 7], [2, 2], [4, 6], [12, 1]], 1/393216], [[[1, 7], [2, 2], [5, 1], [7, 2]], 13/47040], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/677376], [[[1, 7], [2, 2], [7, 2], [8, 1]], 3/200704], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/188160], [[[1, 7], [2, 4], [3, 1], [4, 6]], 583/35389440], [[[1, 7], [2, 4], [3, 1], [5, 3]], 11/115200], [[[1, 7], [2, 4], [3, 1], [7, 2]], 59/387072], [[[1, 7], [2, 4], [3, 1], [14, 2]], 1/903168], [[[1, 7], [2, 4], [3, 2], [4, 5]], 749/35389440], [[[1, 7], [2, 4], [3, 3], [4, 4]], 6581/79626240], [[[1, 7], [2, 4], [3, 3], [5, 2]], 233/2488320], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/82944], [[[1, 7], [2, 4], [3, 4], [4, 3]], 991/11943936], [[[1, 7], [2, 4], [3, 4], [6, 3]], 35/248832], [[[1, 7], [2, 4], [3, 4], [7, 1]], 127/3483648], [[[1, 7], [2, 4], [3, 5], [4, 2]], 11/442368], [[[1, 7], [2, 4], [3, 5], [5, 1]], 79/7464960], [[[1, 7], [2, 4], [3, 5], [6, 2]], 35/373248], [[[1, 7], [2, 4], [3, 5], [8, 1]], 1/248832], [[[1, 7], [2, 4], [3, 5], [10, 1]], 1/207360], [[[1, 7], [2, 4], [3, 6], [4, 1]], 7/2985984], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/124416], [[[1, 7], [2, 4], [4, 1], [5, 3]], 23/576000], [[[1, 7], [2, 4], [4, 1], [7, 2]], 1529/6021120], [[[1, 7], [2, 4], [4, 1], [14, 2]], 5/3612672], [[[1, 7], [2, 4], [4, 3], [5, 2]], 17/691200], [[[1, 7], [2, 4], [4, 3], [8, 2]], 5477/16515072], [[[1, 7], [2, 4], [4, 3], [10, 2]], 1/204800], [[[1, 7], [2, 4], [4, 4], [7, 1]], 18349/247726080], [[[1, 7], [2, 4], [4, 4], [14, 1]], 7/196608], [[[1, 7], [2, 4], [4, 5], [5, 1]], 301/11796480], [[[1, 7], [2, 4], [4, 5], [6, 2]], 5/2359296], [[[1, 7], [2, 4], [4, 5], [8, 1]], 43369/220200960], [[[1, 7], [2, 4], [4, 5], [10, 1]], 13/1310720], [[[1, 7], [2, 4], [4, 5], [12, 1]], 191/7077888], [[[1, 7], [2, 4], [4, 6], [6, 1]], 341/28311552], [[[1, 7], [2, 4], [5, 2], [7, 1]], 11/53760], [[[1, 7], [2, 4], [6, 1], [7, 2]], 13/677376], [[[1, 7], [2, 4], [6, 1], [14, 2]], 1/3386880], [[[1, 7], [2, 4], [6, 3], [10, 2]], 1/15552000], [[[1, 7], [2, 6], [3, 1], [4, 5]], 8749/56623104], [[[1, 7], [2, 6], [3, 1], [6, 5]], 53/17915904], [[[1, 7], [2, 6], [3, 2], [4, 4]], 19535/84934656], [[[1, 7], [2, 6], [3, 2], [5, 2]], 791/13824000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 839/11943936], [[[1, 7], [2, 6], [3, 2], [10, 2]], 1/460800], [[[1, 7], [2, 6], [3, 3], [4, 3]], 317/1990656], [[[1, 7], [2, 6], [3, 3], [6, 3]], 277/497664], [[[1, 7], [2, 6], [3, 3], [7, 1]], 31/1451520], [[[1, 7], [2, 6], [3, 4], [4, 2]], 3251/79626240], [[[1, 7], [2, 6], [3, 4], [5, 1]], 2173/149299200], [[[1, 7], [2, 6], [3, 4], [6, 2]], 2617/11943936], [[[1, 7], [2, 6], [3, 4], [8, 1]], 335/47775744], [[[1, 7], [2, 6], [3, 4], [10, 1]], 13/1658880], [[[1, 7], [2, 6], [3, 5], [4, 1]], 71/13271040], [[[1, 7], [2, 6], [3, 5], [6, 1]], 101/5971968], [[[1, 7], [2, 6], [4, 1], [6, 5]], 23/39813120], [[[1, 7], [2, 6], [4, 2], [5, 2]], 2353/18432000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 371/79626240], [[[1, 7], [2, 6], [4, 2], [8, 2]], 391637/990904320], [[[1, 7], [2, 6], [4, 2], [10, 2]], 371/6912000], [[[1, 7], [2, 6], [4, 3], [6, 3]], 4363/159252480], [[[1, 7], [2, 6], [4, 3], [7, 1]], 18883/61931520], [[[1, 7], [2, 6], [4, 3], [14, 1]], 843/4587520], [[[1, 7], [2, 6], [4, 4], [5, 1]], 14099/70778880], [[[1, 7], [2, 6], [4, 4], [6, 2]], 2083/21233664], [[[1, 7], [2, 6], [4, 4], [8, 1]], 488713/566231040], [[[1, 7], [2, 6], [4, 4], [10, 1]], 24997/176947200], [[[1, 7], [2, 6], [4, 4], [12, 1]], 1411/8847360], [[[1, 7], [2, 6], [4, 5], [6, 1]], 2135/18874368], [[[1, 7], [2, 6], [5, 1], [6, 4]], 1/1658880], [[[1, 7], [2, 6], [5, 1], [10, 2]], 53/384000], [[[1, 7], [2, 6], [5, 2], [6, 2]], 11/1382400], [[[1, 7], [2, 6], [5, 2], [8, 1]], 53/2211840], [[[1, 7], [2, 6], [5, 2], [10, 1]], 263/1152000], [[[1, 7], [2, 6], [6, 2], [10, 2]], 179/20736000], [[[1, 7], [2, 6], [6, 3], [14, 1]], 83/34836480], [[[1, 7], [2, 6], [6, 4], [8, 1]], 19/15925248], [[[1, 7], [2, 6], [6, 4], [10, 1]], 241/149299200], [[[1, 7], [2, 6], [7, 1], [14, 1]], 95/1032192], [[[1, 7], [2, 6], [8, 1], [10, 2]], 29/3686400], [[[1, 7], [2, 8], [3, 1], [4, 4]], 6314771/29727129600], [[[1, 7], [2, 8], [3, 1], [5, 2]], 1159/132710400], [[[1, 7], [2, 8], [3, 1], [6, 4]], 17821/358318080], [[[1, 7], [2, 8], [3, 1], [10, 2]], 247/16588800], [[[1, 7], [2, 8], [3, 2], [4, 3]], 109943/1061683200], [[[1, 7], [2, 8], [3, 2], [6, 3]], 8539/29859840], [[[1, 7], [2, 8], [3, 2], [7, 1]], 1667/371589120], [[[1, 7], [2, 8], [3, 2], [14, 1]], 7/2654208], [[[1, 7], [2, 8], [3, 3], [4, 2]], 10469/398131200], [[[1, 7], [2, 8], [3, 3], [5, 1]], 11209/2388787200], [[[1, 7], [2, 8], [3, 3], [6, 2]], 2047/11943936], [[[1, 7], [2, 8], [3, 3], [8, 1]], 11/3981312], [[[1, 7], [2, 8], [3, 3], [10, 1]], 7/3317760], [[[1, 7], [2, 8], [3, 4], [4, 1]], 1007/238878720], [[[1, 7], [2, 8], [3, 4], [6, 1]], 1469/119439360], [[[1, 7], [2, 8], [4, 1], [5, 2]], 2317/82944000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 1697/66355200], [[[1, 7], [2, 8], [4, 1], [8, 2]], 5497/110100480], [[[1, 7], [2, 8], [4, 1], [10, 2]], 7231/82944000], [[[1, 7], [2, 8], [4, 2], [6, 3]], 101443/796262400], [[[1, 7], [2, 8], [4, 2], [7, 1]], 447889/4954521600], [[[1, 7], [2, 8], [4, 2], [14, 1]], 24719/135475200], [[[1, 7], [2, 8], [4, 3], [5, 1]], 34807/176947200], [[[1, 7], [2, 8], [4, 3], [6, 2]], 159019/530841600], [[[1, 7], [2, 8], [4, 3], [8, 1]], 31081/44040192], [[[1, 7], [2, 8], [4, 3], [10, 1]], 4453/14745600], [[[1, 7], [2, 8], [4, 3], [12, 1]], 1897/17694720], [[[1, 7], [2, 8], [4, 4], [6, 1]], 282599/849346560], [[[1, 7], [2, 8], [5, 1], [6, 3]], 23/1658880], [[[1, 7], [2, 8], [5, 1], [7, 1]], 407/61931520], [[[1, 7], [2, 8], [5, 1], [14, 1]], 7/737280], [[[1, 7], [2, 8], [5, 2], [6, 1]], 29/5529600], [[[1, 7], [2, 8], [6, 1], [10, 2]], 7127/165888000], [[[1, 7], [2, 8], [6, 2], [7, 1]], 1/884736], [[[1, 7], [2, 8], [6, 2], [14, 1]], 4079/154828800], [[[1, 7], [2, 8], [6, 3], [8, 1]], 961/79626240], [[[1, 7], [2, 8], [6, 3], [10, 1]], 86611/2985984000], [[[1, 7], [2, 8], [7, 1], [8, 1]], 23/6193152], [[[1, 7], [2, 8], [7, 1], [10, 1]], 1/245760], [[[1, 7], [2, 8], [8, 1], [14, 1]], 253/30965760], [[[1, 7], [2, 8], [10, 1], [14, 1]], 1223/46448640], [[[1, 7], [2, 10], [3, 1], [4, 3]], 3539/74317824], [[[1, 7], [2, 10], [3, 1], [6, 3]], 9517327/100329062400], [[[1, 7], [2, 10], [3, 1], [7, 1]], 29/82575360], [[[1, 7], [2, 10], [3, 1], [14, 1]], 1039/216760320], [[[1, 7], [2, 10], [3, 2], [4, 2]], 133733/11890851840], [[[1, 7], [2, 10], [3, 2], [5, 1]], 169/398131200], [[[1, 7], [2, 10], [3, 2], [6, 2]], 152671/1783627776], [[[1, 7], [2, 10], [3, 2], [8, 1]], 5/14155776], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1007/398131200], [[[1, 7], [2, 10], [3, 3], [4, 1]], 1009/955514880], [[[1, 7], [2, 10], [3, 3], [6, 1]], 66211/13377208320], [[[1, 7], [2, 10], [4, 1], [6, 3]], 278377/2786918400], [[[1, 7], [2, 10], [4, 1], [7, 1]], 2623/990904320], [[[1, 7], [2, 10], [4, 1], [14, 1]], 2292419/52022476800], [[[1, 7], [2, 10], [4, 2], [5, 1]], 14251/367001600], [[[1, 7], [2, 10], [4, 2], [6, 2]], 1317691/5308416000], [[[1, 7], [2, 10], [4, 2], [8, 1]], 25025957/237817036800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 23889647/148635648000], [[[1, 7], [2, 10], [4, 2], [12, 1]], 3943/283115520], [[[1, 7], [2, 10], [4, 3], [6, 1]], 293059/1189085184], [[[1, 7], [2, 10], [5, 1], [6, 2]], 769/44236800], [[[1, 7], [2, 10], [5, 1], [8, 1]], 1/1769472], [[[1, 7], [2, 10], [5, 1], [10, 1]], 15499/774144000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 13/24772608], [[[1, 7], [2, 10], [6, 1], [14, 1]], 325891/13005619200], [[[1, 7], [2, 10], [6, 2], [8, 1]], 3317/212336640], [[[1, 7], [2, 10], [6, 2], [10, 1]], 101503/1741824000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 30931/3715891200], [[[1, 7], [2, 12], [3, 1], [4, 2]], 785017/118908518400], [[[1, 7], [2, 12], [3, 1], [5, 1]], 5/339738624], [[[1, 7], [2, 12], [3, 1], [6, 2]], 87487/2866544640], [[[1, 7], [2, 12], [3, 1], [8, 1]], 3113/10192158720], [[[1, 7], [2, 12], [3, 1], [10, 1]], 1099/398131200], [[[1, 7], [2, 12], [3, 2], [4, 1]], 59/70778880], [[[1, 7], [2, 12], [3, 2], [6, 1]], 105481/33443020800], [[[1, 7], [2, 12], [4, 1], [5, 1]], 343/104857600], [[[1, 7], [2, 12], [4, 1], [6, 2]], 58226717/891813888000], [[[1, 7], [2, 12], [4, 1], [8, 1]], 1650647/285380444160], [[[1, 7], [2, 12], [4, 1], [10, 1]], 25131941/891813888000], [[[1, 7], [2, 12], [4, 1], [12, 1]], 4225/7134511104], [[[1, 7], [2, 12], [4, 2], [6, 1]], 273974023/3567255552000], [[[1, 7], [2, 12], [5, 1], [6, 1]], 463/132710400], [[[1, 7], [2, 12], [6, 1], [8, 1]], 1397677/356725555200], [[[1, 7], [2, 12], [6, 1], [10, 1]], 14457377/668860416000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 2558287/4280706662400], [[[1, 7], [2, 14], [3, 1], [6, 1]], 12518369/6421059993600], [[[1, 7], [2, 14], [4, 1], [6, 1]], 7575481/792723456000], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/451584], [[[1, 7], [3, 1], [4, 4], [8, 2]], 1/196608], [[[1, 7], [3, 1], [5, 1], [7, 2]], 13/141120], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/20160], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/414720], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/290304], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/30240], [[[1, 7], [3, 5], [4, 2], [5, 1]], 1/622080], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/301056], [[[1, 7], [4, 1], [8, 2], [16, 1]], 1/294912], [[[1, 8], [2, 1], [3, 2], [5, 3]], 19/576000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 269/2257920], [[[1, 8], [2, 1], [3, 4], [5, 2]], 187/6220800], [[[1, 8], [2, 1], [3, 5], [4, 3]], 7/2985984], [[[1, 8], [2, 1], [3, 5], [7, 1]], 5/217728], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/995328], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/233280], [[[1, 8], [2, 1], [4, 2], [7, 2]], 13/7225344], [[[1, 8], [2, 1], [4, 2], [8, 3]], 5/2359296], [[[1, 8], [2, 1], [4, 4], [8, 2]], 41/15728640], [[[1, 8], [2, 1], [5, 1], [7, 2]], 107/1128960], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/602112], [[[1, 8], [2, 3], [3, 1], [4, 6]], 1/1048576], [[[1, 8], [2, 3], [3, 1], [5, 3]], 1/9000], [[[1, 8], [2, 3], [3, 1], [7, 2]], 193/1128960], [[[1, 8], [2, 3], [3, 2], [4, 5]], 29/5898240], [[[1, 8], [2, 3], [3, 3], [4, 4]], 767/39813120], [[[1, 8], [2, 3], [3, 3], [5, 2]], 713/5184000], [[[1, 8], [2, 3], [3, 4], [4, 3]], 109/1658880], [[[1, 8], [2, 3], [3, 4], [6, 3]], 5/186624], [[[1, 8], [2, 3], [3, 4], [7, 1]], 73/870912], [[[1, 8], [2, 3], [3, 5], [4, 2]], 31/663552], [[[1, 8], [2, 3], [3, 5], [5, 1]], 1/38880], [[[1, 8], [2, 3], [3, 5], [6, 2]], 25/373248], [[[1, 8], [2, 3], [3, 5], [8, 1]], 7/1492992], [[[1, 8], [2, 3], [3, 5], [10, 1]], 1/207360], [[[1, 8], [2, 3], [3, 6], [4, 1]], 29/2985984], [[[1, 8], [2, 3], [3, 6], [6, 1]], 7/373248], [[[1, 8], [2, 3], [4, 1], [5, 3]], 1/38400], [[[1, 8], [2, 3], [4, 1], [7, 2]], 2987/18063360], [[[1, 8], [2, 3], [4, 1], [14, 2]], 1/18063360], [[[1, 8], [2, 3], [4, 3], [5, 2]], 7/1105920], [[[1, 8], [2, 3], [4, 3], [8, 2]], 4639/82575360], [[[1, 8], [2, 3], [4, 4], [7, 1]], 839/289013760], [[[1, 8], [2, 3], [4, 4], [14, 1]], 1/1310720], [[[1, 8], [2, 3], [4, 5], [5, 1]], 97/11796480], [[[1, 8], [2, 3], [4, 5], [8, 1]], 72983/1981808640], [[[1, 8], [2, 3], [4, 5], [10, 1]], 1/1310720], [[[1, 8], [2, 3], [4, 5], [12, 1]], 53/7077888], [[[1, 8], [2, 3], [5, 2], [7, 1]], 1/4480], [[[1, 8], [2, 3], [6, 1], [7, 2]], 13/2709504], [[[1, 8], [2, 5], [3, 1], [4, 5]], 2633/31457280], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/5971968], [[[1, 8], [2, 5], [3, 2], [4, 4]], 79181/424673280], [[[1, 8], [2, 5], [3, 2], [5, 2]], 48917/331776000], [[[1, 8], [2, 5], [3, 2], [6, 4]], 131/11943936], [[[1, 8], [2, 5], [3, 3], [4, 3]], 43633/159252480], [[[1, 8], [2, 5], [3, 3], [6, 3]], 203/829440], [[[1, 8], [2, 5], [3, 3], [7, 1]], 347/4354560], [[[1, 8], [2, 5], [3, 4], [4, 2]], 4403/31850496], [[[1, 8], [2, 5], [3, 4], [5, 1]], 6997/149299200], [[[1, 8], [2, 5], [3, 4], [6, 2]], 50801/179159040], [[[1, 8], [2, 5], [3, 4], [8, 1]], 139/8847360], [[[1, 8], [2, 5], [3, 4], [10, 1]], 23/1244160], [[[1, 8], [2, 5], [3, 5], [4, 1]], 3113/119439360], [[[1, 8], [2, 5], [3, 5], [6, 1]], 311/5971968], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/39813120], [[[1, 8], [2, 5], [4, 2], [5, 2]], 341/2457600], [[[1, 8], [2, 5], [4, 2], [6, 4]], 91/318504960], [[[1, 8], [2, 5], [4, 2], [8, 2]], 15689/82575360], [[[1, 8], [2, 5], [4, 2], [10, 2]], 121/14745600], [[[1, 8], [2, 5], [4, 3], [6, 3]], 1/589824], [[[1, 8], [2, 5], [4, 3], [7, 1]], 2393/12386304], [[[1, 8], [2, 5], [4, 3], [14, 1]], 523/13762560], [[[1, 8], [2, 5], [4, 4], [5, 1]], 13423/117964800], [[[1, 8], [2, 5], [4, 4], [6, 2]], 1711/212336640], [[[1, 8], [2, 5], [4, 4], [8, 1]], 535949/1321205760], [[[1, 8], [2, 5], [4, 4], [10, 1]], 137/4128768], [[[1, 8], [2, 5], [4, 4], [12, 1]], 8257/123863040], [[[1, 8], [2, 5], [4, 5], [6, 1]], 71/2097152], [[[1, 8], [2, 5], [5, 1], [10, 2]], 1/25600], [[[1, 8], [2, 5], [5, 2], [6, 2]], 1/103680], [[[1, 8], [2, 5], [5, 2], [8, 1]], 359/11059200], [[[1, 8], [2, 5], [5, 2], [10, 1]], 37/230400], [[[1, 8], [2, 5], [6, 2], [10, 2]], 161/663552000], [[[1, 8], [2, 5], [6, 3], [14, 1]], 1/8709120], [[[1, 8], [2, 5], [6, 4], [8, 1]], 1/15925248], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1/18662400], [[[1, 8], [2, 5], [7, 1], [14, 1]], 169/3612672], [[[1, 8], [2, 5], [8, 1], [10, 2]], 1/1228800], [[[1, 8], [2, 7], [3, 1], [4, 4]], 282599/849346560], [[[1, 8], [2, 7], [3, 1], [5, 2]], 7127/165888000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 1469/119439360], [[[1, 8], [2, 7], [3, 1], [10, 2]], 29/5529600], [[[1, 8], [2, 7], [3, 2], [4, 3]], 159019/530841600], [[[1, 8], [2, 7], [3, 2], [6, 3]], 2047/11943936], [[[1, 8], [2, 7], [3, 2], [7, 1]], 4079/154828800], [[[1, 8], [2, 7], [3, 2], [14, 1]], 1/884736], [[[1, 8], [2, 7], [3, 3], [4, 2]], 101443/796262400], [[[1, 8], [2, 7], [3, 3], [5, 1]], 86611/2985984000], [[[1, 8], [2, 7], [3, 3], [6, 2]], 8539/29859840], [[[1, 8], [2, 7], [3, 3], [8, 1]], 961/79626240], [[[1, 8], [2, 7], [3, 3], [10, 1]], 23/1658880], [[[1, 8], [2, 7], [3, 4], [4, 1]], 1697/66355200], [[[1, 8], [2, 7], [3, 4], [6, 1]], 17821/358318080], [[[1, 8], [2, 7], [4, 1], [5, 2]], 7231/82944000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 1007/238878720], [[[1, 8], [2, 7], [4, 1], [8, 2]], 5497/110100480], [[[1, 8], [2, 7], [4, 1], [10, 2]], 2317/82944000], [[[1, 8], [2, 7], [4, 2], [6, 3]], 10469/398131200], [[[1, 8], [2, 7], [4, 2], [7, 1]], 24719/135475200], [[[1, 8], [2, 7], [4, 2], [14, 1]], 447889/4954521600], [[[1, 8], [2, 7], [4, 3], [5, 1]], 4453/14745600], [[[1, 8], [2, 7], [4, 3], [6, 2]], 109943/1061683200], [[[1, 8], [2, 7], [4, 3], [8, 1]], 31081/44040192], [[[1, 8], [2, 7], [4, 3], [10, 1]], 34807/176947200], [[[1, 8], [2, 7], [4, 3], [12, 1]], 1897/17694720], [[[1, 8], [2, 7], [4, 4], [6, 1]], 6314771/29727129600], [[[1, 8], [2, 7], [5, 1], [6, 3]], 7/3317760], [[[1, 8], [2, 7], [5, 1], [7, 1]], 1223/46448640], [[[1, 8], [2, 7], [5, 1], [14, 1]], 1/245760], [[[1, 8], [2, 7], [5, 2], [6, 1]], 247/16588800], [[[1, 8], [2, 7], [6, 1], [10, 2]], 1159/132710400], [[[1, 8], [2, 7], [6, 2], [7, 1]], 7/2654208], [[[1, 8], [2, 7], [6, 2], [14, 1]], 1667/371589120], [[[1, 8], [2, 7], [6, 3], [8, 1]], 11/3981312], [[[1, 8], [2, 7], [6, 3], [10, 1]], 11209/2388787200], [[[1, 8], [2, 7], [7, 1], [8, 1]], 253/30965760], [[[1, 8], [2, 7], [7, 1], [10, 1]], 7/737280], [[[1, 8], [2, 7], [8, 1], [14, 1]], 23/6193152], [[[1, 8], [2, 7], [10, 1], [14, 1]], 407/61931520], [[[1, 8], [2, 9], [3, 1], [4, 3]], 308159/1857945600], [[[1, 8], [2, 9], [3, 1], [6, 3]], 284519/4777574400], [[[1, 8], [2, 9], [3, 1], [7, 1]], 11731/3715891200], [[[1, 8], [2, 9], [3, 1], [14, 1]], 6541/1300561920], [[[1, 8], [2, 9], [3, 2], [4, 2]], 477491/8493465600], [[[1, 8], [2, 9], [3, 2], [5, 1]], 22613/3981312000], [[[1, 8], [2, 9], [3, 2], [6, 2]], 22267/159252480], [[[1, 8], [2, 9], [3, 2], [8, 1]], 245/84934656], [[[1, 8], [2, 9], [3, 2], [10, 1]], 1/207360], [[[1, 8], [2, 9], [3, 3], [4, 1]], 49207/4777574400], [[[1, 8], [2, 9], [3, 3], [6, 1]], 201209/9555148800], [[[1, 8], [2, 9], [4, 1], [6, 3]], 106933/2388787200], [[[1, 8], [2, 9], [4, 1], [7, 1]], 222143/14863564800], [[[1, 8], [2, 9], [4, 1], [14, 1]], 85681/2477260800], [[[1, 8], [2, 9], [4, 2], [5, 1]], 80467/774144000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 1208429/7431782400], [[[1, 8], [2, 9], [4, 2], [8, 1]], 1894523/9512681472], [[[1, 8], [2, 9], [4, 2], [10, 1]], 4961879/29727129600], [[[1, 8], [2, 9], [4, 2], [12, 1]], 16483/743178240], [[[1, 8], [2, 9], [4, 3], [6, 1]], 1193737/4246732800], [[[1, 8], [2, 9], [5, 1], [6, 2]], 79/6635520], [[[1, 8], [2, 9], [5, 1], [8, 1]], 197/70778880], [[[1, 8], [2, 9], [5, 1], [10, 1]], 709/22118400], [[[1, 8], [2, 9], [6, 1], [7, 1]], 3307/1300561920], [[[1, 8], [2, 9], [6, 1], [14, 1]], 5153/412876800], [[[1, 8], [2, 9], [6, 2], [8, 1]], 893/92897280], [[[1, 8], [2, 9], [6, 2], [10, 1]], 52189/1990656000], [[[1, 8], [2, 9], [8, 1], [10, 1]], 437/66355200], [[[1, 8], [2, 11], [3, 1], [4, 2]], 1126199/47563407360], [[[1, 8], [2, 11], [3, 1], [5, 1]], 4963/12740198400], [[[1, 8], [2, 11], [3, 1], [6, 2]], 5463631/133772083200], [[[1, 8], [2, 11], [3, 1], [8, 1]], 17299/23781703680], [[[1, 8], [2, 11], [3, 1], [10, 1]], 4195/891813888], [[[1, 8], [2, 11], [3, 2], [4, 1]], 139/42467328], [[[1, 8], [2, 11], [3, 2], [6, 1]], 31399/3344302080], [[[1, 8], [2, 11], [4, 1], [5, 1]], 548939/59454259200], [[[1, 8], [2, 11], [4, 1], [6, 2]], 56645837/891813888000], [[[1, 8], [2, 11], [4, 1], [8, 1]], 19800119/1426902220800], [[[1, 8], [2, 11], [4, 1], [10, 1]], 1190041/33030144000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 2617/2378170368], [[[1, 8], [2, 11], [4, 2], [6, 1]], 14322407/127401984000], [[[1, 8], [2, 11], [5, 1], [6, 1]], 10303/1857945600], [[[1, 8], [2, 11], [6, 1], [8, 1]], 50333/10192158720], [[[1, 8], [2, 11], [6, 1], [10, 1]], 420377/21403533312], [[[1, 8], [2, 13], [3, 1], [4, 1]], 8630327/4280706662400], [[[1, 8], [2, 13], [3, 1], [6, 1]], 9518137/2140353331200], [[[1, 8], [2, 13], [4, 1], [6, 1]], 361247699/21403533312000], [[[1, 9], [2, 2], [3, 1], [4, 6]], 1/3145728], [[[1, 9], [2, 2], [3, 1], [5, 3]], 37/576000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 29/376320], [[[1, 9], [2, 2], [3, 3], [4, 4]], 11/4423680], [[[1, 9], [2, 2], [3, 3], [5, 2]], 529/5184000], [[[1, 9], [2, 2], [3, 4], [4, 3]], 25/2654208], [[[1, 9], [2, 2], [3, 4], [7, 1]], 1391/17418240], [[[1, 9], [2, 2], [3, 5], [4, 2]], 259/9953280], [[[1, 9], [2, 2], [3, 5], [5, 1]], 77/2488320], [[[1, 9], [2, 2], [3, 5], [6, 2]], 23/1119744], [[[1, 9], [2, 2], [3, 5], [8, 1]], 5/1990656], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/622080], [[[1, 9], [2, 2], [3, 6], [4, 1]], 37/2985984], [[[1, 9], [2, 2], [3, 6], [6, 1]], 19/1119744], [[[1, 9], [2, 2], [4, 1], [5, 3]], 1/128000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 4843/126443520], [[[1, 9], [2, 2], [4, 3], [5, 2]], 13/16588800], [[[1, 9], [2, 2], [4, 3], [8, 2]], 817/165150720], [[[1, 9], [2, 2], [4, 4], [7, 1]], 193/867041280], [[[1, 9], [2, 2], [4, 4], [14, 1]], 1/27525120], [[[1, 9], [2, 2], [4, 5], [8, 1]], 13/15728640], [[[1, 9], [2, 2], [5, 2], [7, 1]], 13/115200], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/2709504], [[[1, 9], [2, 4], [3, 1], [4, 5]], 2353/220200960], [[[1, 9], [2, 4], [3, 2], [4, 4]], 38657/743178240], [[[1, 9], [2, 4], [3, 2], [5, 2]], 64301/331776000], [[[1, 9], [2, 4], [3, 2], [6, 4]], 1/1327104], [[[1, 9], [2, 4], [3, 3], [4, 3]], 40679/238878720], [[[1, 9], [2, 4], [3, 3], [6, 3]], 113/2488320], [[[1, 9], [2, 4], [3, 3], [7, 1]], 4607/34836480], [[[1, 9], [2, 4], [3, 4], [4, 2]], 9391/53084160], [[[1, 9], [2, 4], [3, 4], [5, 1]], 12269/149299200], [[[1, 9], [2, 4], [3, 4], [6, 2]], 10097/59719680], [[[1, 9], [2, 4], [3, 4], [8, 1]], 49/2949120], [[[1, 9], [2, 4], [3, 4], [10, 1]], 17/1036800], [[[1, 9], [2, 4], [3, 5], [4, 1]], 1349/23887872], [[[1, 9], [2, 4], [3, 5], [6, 1]], 7141/89579520], [[[1, 9], [2, 4], [4, 2], [5, 2]], 1621/22118400], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/318504960], [[[1, 9], [2, 4], [4, 2], [8, 2]], 39223/990904320], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/24576000], [[[1, 9], [2, 4], [4, 3], [6, 3]], 1/13271040], [[[1, 9], [2, 4], [4, 3], [7, 1]], 34879/867041280], [[[1, 9], [2, 4], [4, 3], [14, 1]], 17/11796480], [[[1, 9], [2, 4], [4, 4], [5, 1]], 19741/743178240], [[[1, 9], [2, 4], [4, 4], [6, 2]], 11/28311552], [[[1, 9], [2, 4], [4, 4], [8, 1]], 780943/11890851840], [[[1, 9], [2, 4], [4, 4], [10, 1]], 517/165150720], [[[1, 9], [2, 4], [4, 4], [12, 1]], 1313/123863040], [[[1, 9], [2, 4], [4, 5], [6, 1]], 17/18874368], [[[1, 9], [2, 4], [5, 1], [10, 2]], 1/230400], [[[1, 9], [2, 4], [5, 2], [6, 2]], 1/207360], [[[1, 9], [2, 4], [5, 2], [8, 1]], 733/33177600], [[[1, 9], [2, 4], [5, 2], [10, 1]], 1/25600], [[[1, 9], [2, 4], [6, 2], [10, 2]], 1/663552000], [[[1, 9], [2, 4], [7, 1], [14, 1]], 3/286720], [[[1, 9], [2, 6], [3, 1], [4, 4]], 61159/283115520], [[[1, 9], [2, 6], [3, 1], [5, 2]], 31289/331776000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 179/119439360], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/1843200], [[[1, 9], [2, 6], [3, 2], [4, 3]], 78467/212336640], [[[1, 9], [2, 6], [3, 2], [6, 3]], 373/6635520], [[[1, 9], [2, 6], [3, 2], [7, 1]], 9217/132710400], [[[1, 9], [2, 6], [3, 2], [14, 1]], 1/6193152], [[[1, 9], [2, 6], [3, 3], [4, 2]], 43031/159252480], [[[1, 9], [2, 6], [3, 3], [5, 1]], 17111/221184000], [[[1, 9], [2, 6], [3, 3], [6, 2]], 3911/14929920], [[[1, 9], [2, 6], [3, 3], [8, 1]], 2747/119439360], [[[1, 9], [2, 6], [3, 3], [10, 1]], 437/16588800], [[[1, 9], [2, 6], [3, 4], [4, 1]], 643/8294400], [[[1, 9], [2, 6], [3, 4], [6, 1]], 12583/119439360], [[[1, 9], [2, 6], [4, 1], [5, 2]], 7751/55296000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 25/95551488], [[[1, 9], [2, 6], [4, 1], [8, 2]], 76751/2972712960], [[[1, 9], [2, 6], [4, 1], [10, 2]], 49/13824000], [[[1, 9], [2, 6], [4, 2], [6, 3]], 407/159252480], [[[1, 9], [2, 6], [4, 2], [7, 1]], 1037/5734400], [[[1, 9], [2, 6], [4, 2], [14, 1]], 361/22020096], [[[1, 9], [2, 6], [4, 3], [5, 1]], 402049/1857945600], [[[1, 9], [2, 6], [4, 3], [6, 2]], 12841/990904320], [[[1, 9], [2, 6], [4, 3], [8, 1]], 4397231/13212057600], [[[1, 9], [2, 6], [4, 3], [10, 1]], 28843/495452160], [[[1, 9], [2, 6], [4, 3], [12, 1]], 2689/49545216], [[[1, 9], [2, 6], [4, 4], [6, 1]], 499927/9909043200], [[[1, 9], [2, 6], [5, 1], [7, 1]], 4699/92897280], [[[1, 9], [2, 6], [5, 1], [14, 1]], 1/1720320], [[[1, 9], [2, 6], [5, 2], [6, 1]], 293/16588800], [[[1, 9], [2, 6], [6, 1], [10, 2]], 143/331776000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 239/92897280], [[[1, 9], [2, 6], [6, 2], [14, 1]], 1/3440640], [[[1, 9], [2, 6], [6, 3], [8, 1]], 7/31850496], [[[1, 9], [2, 6], [6, 3], [10, 1]], 43/199065600], [[[1, 9], [2, 6], [7, 1], [8, 1]], 7949/867041280], [[[1, 9], [2, 6], [7, 1], [10, 1]], 239/25804800], [[[1, 9], [2, 6], [8, 1], [14, 1]], 13/16515072], [[[1, 9], [2, 6], [10, 1], [14, 1]], 19/30965760], [[[1, 9], [2, 8], [3, 1], [4, 3]], 1193737/4246732800], [[[1, 9], [2, 8], [3, 1], [6, 3]], 201209/9555148800], [[[1, 9], [2, 8], [3, 1], [7, 1]], 5153/412876800], [[[1, 9], [2, 8], [3, 1], [14, 1]], 3307/1300561920], [[[1, 9], [2, 8], [3, 2], [4, 2]], 1208429/7431782400], [[[1, 9], [2, 8], [3, 2], [5, 1]], 52189/1990656000], [[[1, 9], [2, 8], [3, 2], [6, 2]], 22267/159252480], [[[1, 9], [2, 8], [3, 2], [8, 1]], 893/92897280], [[[1, 9], [2, 8], [3, 2], [10, 1]], 79/6635520], [[[1, 9], [2, 8], [3, 3], [4, 1]], 106933/2388787200], [[[1, 9], [2, 8], [3, 3], [6, 1]], 284519/4777574400], [[[1, 9], [2, 8], [4, 1], [6, 3]], 49207/4777574400], [[[1, 9], [2, 8], [4, 1], [7, 1]], 85681/2477260800], [[[1, 9], [2, 8], [4, 1], [14, 1]], 222143/14863564800], [[[1, 9], [2, 8], [4, 2], [5, 1]], 4961879/29727129600], [[[1, 9], [2, 8], [4, 2], [6, 2]], 477491/8493465600], [[[1, 9], [2, 8], [4, 2], [8, 1]], 1894523/9512681472], [[[1, 9], [2, 8], [4, 2], [10, 1]], 80467/774144000], [[[1, 9], [2, 8], [4, 2], [12, 1]], 16483/743178240], [[[1, 9], [2, 8], [4, 3], [6, 1]], 308159/1857945600], [[[1, 9], [2, 8], [5, 1], [6, 2]], 1/207360], [[[1, 9], [2, 8], [5, 1], [8, 1]], 437/66355200], [[[1, 9], [2, 8], [5, 1], [10, 1]], 709/22118400], [[[1, 9], [2, 8], [6, 1], [7, 1]], 6541/1300561920], [[[1, 9], [2, 8], [6, 1], [14, 1]], 11731/3715891200], [[[1, 9], [2, 8], [6, 2], [8, 1]], 245/84934656], [[[1, 9], [2, 8], [6, 2], [10, 1]], 22613/3981312000], [[[1, 9], [2, 8], [8, 1], [10, 1]], 197/70778880], [[[1, 9], [2, 10], [3, 1], [4, 2]], 14782477/237817036800], [[[1, 9], [2, 10], [3, 1], [5, 1]], 194599/63700992000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 50093/1393459200], [[[1, 9], [2, 10], [3, 1], [8, 1]], 21601/11890851840], [[[1, 9], [2, 10], [3, 1], [10, 1]], 122191/22295347200], [[[1, 9], [2, 10], [3, 2], [4, 1]], 2315849/178362777600], [[[1, 9], [2, 10], [3, 2], [6, 1]], 68063/3185049600], [[[1, 9], [2, 10], [4, 1], [5, 1]], 962287/49545216000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 165793/4459069440], [[[1, 9], [2, 10], [4, 1], [8, 1]], 177691/8153726976], [[[1, 9], [2, 10], [4, 1], [10, 1]], 6979921/222953472000], [[[1, 9], [2, 10], [4, 1], [12, 1]], 1027/743178240], [[[1, 9], [2, 10], [4, 2], [6, 1]], 9379721/89181388800], [[[1, 9], [2, 10], [5, 1], [6, 1]], 4343/743178240], [[[1, 9], [2, 10], [6, 1], [8, 1]], 44741/11890851840], [[[1, 9], [2, 10], [6, 1], [10, 1]], 1352941/127401984000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 2384723/475634073600], [[[1, 9], [2, 12], [3, 1], [6, 1]], 15228769/2140353331200], [[[1, 9], [2, 12], [4, 1], [6, 1]], 429101479/21403533312000], [[[1, 9], [3, 1], [5, 2], [7, 1]], 1/44800], [[[1, 9], [3, 2], [4, 2], [5, 2]], 11/11059200], [[[1, 9], [3, 3], [4, 2], [7, 1]], 1/829440], [[[1, 9], [3, 3], [5, 1], [7, 1]], 11/345600], [[[1, 9], [3, 4], [4, 2], [5, 1]], 17/12441600], [[[1, 9], [3, 5], [4, 1], [8, 1]], 1/995328], [[[1, 9], [4, 2], [8, 1], [16, 1]], 1/10321920], [[[1, 10], [2, 1], [3, 1], [5, 3]], 1/57600], [[[1, 10], [2, 1], [3, 1], [7, 2]], 83/6322176], [[[1, 10], [2, 1], [3, 3], [5, 2]], 14821/435456000], [[[1, 10], [2, 1], [3, 4], [4, 3]], 127/119439360], [[[1, 10], [2, 1], [3, 4], [7, 1]], 13/435456], [[[1, 10], [2, 1], [3, 5], [4, 2]], 31/19906560], [[[1, 10], [2, 1], [3, 5], [5, 1]], 49/3110400], [[[1, 10], [2, 1], [3, 5], [8, 1]], 1/1990656], [[[1, 10], [2, 1], [3, 6], [4, 1]], 5/995328], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/186624], [[[1, 10], [2, 1], [4, 1], [5, 3]], 1/1152000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 121/42147840], [[[1, 10], [2, 1], [4, 3], [5, 2]], 1/16588800], [[[1, 10], [2, 1], [4, 3], [8, 2]], 11/165150720], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1/31457280], [[[1, 10], [2, 1], [5, 2], [7, 1]], 31/1209600], [[[1, 10], [2, 3], [3, 1], [4, 5]], 2753/1981808640], [[[1, 10], [2, 3], [3, 2], [4, 4]], 41173/7431782400], [[[1, 10], [2, 3], [3, 2], [5, 2]], 26867/193536000], [[[1, 10], [2, 3], [3, 3], [4, 3]], 149/4587520], [[[1, 10], [2, 3], [3, 3], [6, 3]], 1/276480], [[[1, 10], [2, 3], [3, 3], [7, 1]], 3643/34836480], [[[1, 10], [2, 3], [3, 4], [4, 2]], 6877/79626240], [[[1, 10], [2, 3], [3, 4], [5, 1]], 3953/49766400], [[[1, 10], [2, 3], [3, 4], [6, 2]], 2933/59719680], [[[1, 10], [2, 3], [3, 4], [8, 1]], 2083/238878720], [[[1, 10], [2, 3], [3, 4], [10, 1]], 47/8294400], [[[1, 10], [2, 3], [3, 5], [4, 1]], 6431/119439360], [[[1, 10], [2, 3], [3, 5], [6, 1]], 1753/29859840], [[[1, 10], [2, 3], [4, 2], [5, 2]], 13/691200], [[[1, 10], [2, 3], [4, 2], [8, 2]], 6851/1981808640], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1921/371589120], [[[1, 10], [2, 3], [4, 3], [14, 1]], 1/16515072], [[[1, 10], [2, 3], [4, 4], [5, 1]], 43/51609600], [[[1, 10], [2, 3], [4, 4], [6, 2]], 1/141557760], [[[1, 10], [2, 3], [4, 4], [8, 1]], 35579/11890851840], [[[1, 10], [2, 3], [4, 4], [10, 1]], 1/39321600], [[[1, 10], [2, 3], [4, 5], [6, 1]], 1/18874368], [[[1, 10], [2, 3], [5, 2], [6, 2]], 13/12441600], [[[1, 10], [2, 3], [5, 2], [8, 1]], 259/33177600], [[[1, 10], [2, 3], [5, 2], [10, 1]], 13/3456000], [[[1, 10], [2, 3], [7, 1], [14, 1]], 197/216760320], [[[1, 10], [2, 5], [3, 1], [4, 4]], 999629/17836277760], [[[1, 10], [2, 5], [3, 1], [5, 2]], 97603/870912000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1/14929920], [[[1, 10], [2, 5], [3, 2], [4, 3]], 151369/743178240], [[[1, 10], [2, 5], [3, 2], [6, 3]], 1007/92897280], [[[1, 10], [2, 5], [3, 2], [7, 1]], 59471/650280960], [[[1, 10], [2, 5], [3, 3], [4, 2]], 239/884736], [[[1, 10], [2, 5], [3, 3], [5, 1]], 94253/836075520], [[[1, 10], [2, 5], [3, 3], [6, 2]], 168743/1254113280], [[[1, 10], [2, 5], [3, 3], [8, 1]], 1033/46448640], [[[1, 10], [2, 5], [3, 3], [10, 1]], 263/12441600], [[[1, 10], [2, 5], [3, 4], [4, 1]], 143411/1194393600], [[[1, 10], [2, 5], [3, 4], [6, 1]], 14711/119439360], [[[1, 10], [2, 5], [4, 1], [5, 2]], 72671/580608000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/477757440], [[[1, 10], [2, 5], [4, 1], [8, 2]], 997/169869312], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1/36864000], [[[1, 10], [2, 5], [4, 2], [6, 3]], 11/106168320], [[[1, 10], [2, 5], [4, 2], [7, 1]], 337769/3468165120], [[[1, 10], [2, 5], [4, 2], [14, 1]], 137/165150720], [[[1, 10], [2, 5], [4, 3], [5, 1]], 38003/530841600], [[[1, 10], [2, 5], [4, 3], [6, 2]], 31/37158912], [[[1, 10], [2, 5], [4, 3], [8, 1]], 110203/1585446912], [[[1, 10], [2, 5], [4, 3], [10, 1]], 2153/247726080], [[[1, 10], [2, 5], [4, 3], [12, 1]], 563/49545216], [[[1, 10], [2, 5], [4, 4], [6, 1]], 241/66060288], [[[1, 10], [2, 5], [5, 1], [7, 1]], 41269/812851200], [[[1, 10], [2, 5], [5, 2], [6, 1]], 493/49766400], [[[1, 10], [2, 5], [6, 1], [10, 2]], 1/221184000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 143/130056192], [[[1, 10], [2, 5], [6, 2], [14, 1]], 1/371589120], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1/796262400], [[[1, 10], [2, 5], [7, 1], [8, 1]], 14171/2601123840], [[[1, 10], [2, 5], [7, 1], [10, 1]], 143/36126720], [[[1, 10], [2, 5], [8, 1], [14, 1]], 1/16515072], [[[1, 10], [2, 5], [10, 1], [14, 1]], 1/103219200], [[[1, 10], [2, 7], [3, 1], [4, 3]], 293059/1189085184], [[[1, 10], [2, 7], [3, 1], [6, 3]], 66211/13377208320], [[[1, 10], [2, 7], [3, 1], [7, 1]], 325891/13005619200], [[[1, 10], [2, 7], [3, 1], [14, 1]], 13/24772608], [[[1, 10], [2, 7], [3, 2], [4, 2]], 1317691/5308416000], [[[1, 10], [2, 7], [3, 2], [5, 1]], 101503/1741824000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 152671/1783627776], [[[1, 10], [2, 7], [3, 2], [8, 1]], 3317/212336640], [[[1, 10], [2, 7], [3, 2], [10, 1]], 769/44236800], [[[1, 10], [2, 7], [3, 3], [4, 1]], 278377/2786918400], [[[1, 10], [2, 7], [3, 3], [6, 1]], 9517327/100329062400], [[[1, 10], [2, 7], [4, 1], [6, 3]], 1009/955514880], [[[1, 10], [2, 7], [4, 1], [7, 1]], 2292419/52022476800], [[[1, 10], [2, 7], [4, 1], [14, 1]], 2623/990904320], [[[1, 10], [2, 7], [4, 2], [5, 1]], 23889647/148635648000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 133733/11890851840], [[[1, 10], [2, 7], [4, 2], [8, 1]], 25025957/237817036800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 14251/367001600], [[[1, 10], [2, 7], [4, 2], [12, 1]], 3943/283115520], [[[1, 10], [2, 7], [4, 3], [6, 1]], 3539/74317824], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1007/398131200], [[[1, 10], [2, 7], [5, 1], [8, 1]], 30931/3715891200], [[[1, 10], [2, 7], [5, 1], [10, 1]], 15499/774144000], [[[1, 10], [2, 7], [6, 1], [7, 1]], 1039/216760320], [[[1, 10], [2, 7], [6, 1], [14, 1]], 29/82575360], [[[1, 10], [2, 7], [6, 2], [8, 1]], 5/14155776], [[[1, 10], [2, 7], [6, 2], [10, 1]], 169/398131200], [[[1, 10], [2, 7], [8, 1], [10, 1]], 1/1769472], [[[1, 10], [2, 9], [3, 1], [4, 2]], 9379721/89181388800], [[[1, 10], [2, 9], [3, 1], [5, 1]], 1352941/127401984000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 68063/3185049600], [[[1, 10], [2, 9], [3, 1], [8, 1]], 44741/11890851840], [[[1, 10], [2, 9], [3, 1], [10, 1]], 4343/743178240], [[[1, 10], [2, 9], [3, 2], [4, 1]], 165793/4459069440], [[[1, 10], [2, 9], [3, 2], [6, 1]], 50093/1393459200], [[[1, 10], [2, 9], [4, 1], [5, 1]], 6979921/222953472000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 2315849/178362777600], [[[1, 10], [2, 9], [4, 1], [8, 1]], 177691/8153726976], [[[1, 10], [2, 9], [4, 1], [10, 1]], 962287/49545216000], [[[1, 10], [2, 9], [4, 1], [12, 1]], 1027/743178240], [[[1, 10], [2, 9], [4, 2], [6, 1]], 14782477/237817036800], [[[1, 10], [2, 9], [5, 1], [6, 1]], 122191/22295347200], [[[1, 10], [2, 9], [6, 1], [8, 1]], 21601/11890851840], [[[1, 10], [2, 9], [6, 1], [10, 1]], 194599/63700992000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 1606529/158544691200], [[[1, 10], [2, 11], [3, 1], [6, 1]], 18514669/2140353331200], [[[1, 10], [2, 11], [4, 1], [6, 1]], 70949779/4280706662400], [[[1, 11], [2, 2], [3, 2], [4, 4]], 493/1238630400], [[[1, 11], [2, 2], [3, 2], [5, 2]], 2033/38707200], [[[1, 11], [2, 2], [3, 3], [4, 3]], 1007/348364800], [[[1, 11], [2, 2], [3, 3], [7, 1]], 937/24385536], [[[1, 11], [2, 2], [3, 4], [4, 2]], 1303/111476736], [[[1, 11], [2, 2], [3, 4], [5, 1]], 101/2580480], [[[1, 11], [2, 2], [3, 4], [6, 2]], 809/179159040], [[[1, 11], [2, 2], [3, 4], [8, 1]], 167/79626240], [[[1, 11], [2, 2], [3, 4], [10, 1]], 13/24883200], [[[1, 11], [2, 2], [3, 5], [4, 1]], 823/39813120], [[[1, 11], [2, 2], [3, 5], [6, 1]], 37/1990656], [[[1, 11], [2, 2], [4, 2], [5, 2]], 1/442368], [[[1, 11], [2, 2], [4, 2], [8, 2]], 13/283115520], [[[1, 11], [2, 2], [4, 3], [7, 1]], 59/148635648], [[[1, 11], [2, 2], [4, 4], [5, 1]], 193/3715891200], [[[1, 11], [2, 2], [4, 4], [8, 1]], 283/2972712960], [[[1, 11], [2, 2], [5, 2], [6, 2]], 1/12441600], [[[1, 11], [2, 2], [5, 2], [8, 1]], 1/737280], [[[1, 11], [2, 2], [5, 2], [10, 1]], 1/3456000], [[[1, 11], [2, 2], [7, 1], [14, 1]], 1/43352064], [[[1, 11], [2, 4], [3, 1], [4, 4]], 702263/89181388800], [[[1, 11], [2, 4], [3, 1], [5, 2]], 21437/278691840], [[[1, 11], [2, 4], [3, 2], [4, 3]], 3164023/66886041600], [[[1, 11], [2, 4], [3, 2], [6, 3]], 41/39813120], [[[1, 11], [2, 4], [3, 2], [7, 1]], 82211/1300561920], [[[1, 11], [2, 4], [3, 3], [4, 2]], 3127/24772608], [[[1, 11], [2, 4], [3, 3], [5, 1]], 158717/1672151040], [[[1, 11], [2, 4], [3, 3], [6, 2]], 4031/104509440], [[[1, 11], [2, 4], [3, 3], [8, 1]], 2003/174182400], [[[1, 11], [2, 4], [3, 3], [10, 1]], 887/116121600], [[[1, 11], [2, 4], [3, 4], [4, 1]], 31699/334430208], [[[1, 11], [2, 4], [3, 4], [6, 1]], 196807/2508226560], [[[1, 11], [2, 4], [4, 1], [5, 2]], 12121/193536000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 493/849346560], [[[1, 11], [2, 4], [4, 2], [7, 1]], 2141/77070336], [[[1, 11], [2, 4], [4, 2], [14, 1]], 1/33030144], [[[1, 11], [2, 4], [4, 3], [5, 1]], 88567/7431782400], [[[1, 11], [2, 4], [4, 3], [6, 2]], 1/84934656], [[[1, 11], [2, 4], [4, 3], [8, 1]], 671/88080384], [[[1, 11], [2, 4], [4, 3], [10, 1]], 11/17694720], [[[1, 11], [2, 4], [4, 3], [12, 1]], 41/42467328], [[[1, 11], [2, 4], [4, 4], [6, 1]], 41/198180864], [[[1, 11], [2, 4], [5, 1], [7, 1]], 17837/650280960], [[[1, 11], [2, 4], [5, 2], [6, 1]], 139/49766400], [[[1, 11], [2, 4], [6, 2], [7, 1]], 83/390168576], [[[1, 11], [2, 4], [7, 1], [8, 1]], 1/580608], [[[1, 11], [2, 4], [7, 1], [10, 1]], 83/108380160], [[[1, 11], [2, 6], [3, 1], [4, 3]], 20998723/178362777600], [[[1, 11], [2, 6], [3, 1], [6, 3]], 12529/13377208320], [[[1, 11], [2, 6], [3, 1], [7, 1]], 42863/1560674304], [[[1, 11], [2, 6], [3, 1], [14, 1]], 1/24772608], [[[1, 11], [2, 6], [3, 2], [4, 2]], 30561383/148635648000], [[[1, 11], [2, 6], [3, 2], [5, 1]], 3069037/41803776000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 920107/26754416640], [[[1, 11], [2, 6], [3, 2], [8, 1]], 66043/4777574400], [[[1, 11], [2, 6], [3, 2], [10, 1]], 983/77414400], [[[1, 11], [2, 6], [3, 3], [4, 1]], 245683/1990656000], [[[1, 11], [2, 6], [3, 3], [6, 1]], 592481/6688604160], [[[1, 11], [2, 6], [4, 1], [6, 3]], 1/26542080], [[[1, 11], [2, 6], [4, 1], [7, 1]], 346823/10404495360], [[[1, 11], [2, 6], [4, 1], [14, 1]], 163/990904320], [[[1, 11], [2, 6], [4, 2], [5, 1]], 674081/7077888000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 9797/5945425920], [[[1, 11], [2, 6], [4, 2], [8, 1]], 723539/23781703680], [[[1, 11], [2, 6], [4, 2], [10, 1]], 10909/1238630400], [[[1, 11], [2, 6], [4, 2], [12, 1]], 841/169869312], [[[1, 11], [2, 6], [4, 3], [6, 1]], 101873/11890851840], [[[1, 11], [2, 6], [5, 1], [6, 2]], 1909/1393459200], [[[1, 11], [2, 6], [5, 1], [8, 1]], 79/13271040], [[[1, 11], [2, 6], [5, 1], [10, 1]], 1427/193536000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 143/60963840], [[[1, 11], [2, 6], [6, 1], [14, 1]], 11/743178240], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1/84934656], [[[1, 11], [2, 6], [6, 2], [10, 1]], 7/796262400], [[[1, 11], [2, 6], [8, 1], [10, 1]], 1/23592960], [[[1, 11], [2, 8], [3, 1], [4, 2]], 14322407/127401984000], [[[1, 11], [2, 8], [3, 1], [5, 1]], 420377/21403533312], [[[1, 11], [2, 8], [3, 1], [6, 2]], 31399/3344302080], [[[1, 11], [2, 8], [3, 1], [8, 1]], 50333/10192158720], [[[1, 11], [2, 8], [3, 1], [10, 1]], 10303/1857945600], [[[1, 11], [2, 8], [3, 2], [4, 1]], 56645837/891813888000], [[[1, 11], [2, 8], [3, 2], [6, 1]], 5463631/133772083200], [[[1, 11], [2, 8], [4, 1], [5, 1]], 1190041/33030144000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 139/42467328], [[[1, 11], [2, 8], [4, 1], [8, 1]], 19800119/1426902220800], [[[1, 11], [2, 8], [4, 1], [10, 1]], 548939/59454259200], [[[1, 11], [2, 8], [4, 1], [12, 1]], 2617/2378170368], [[[1, 11], [2, 8], [4, 2], [6, 1]], 1126199/47563407360], [[[1, 11], [2, 8], [5, 1], [6, 1]], 4195/891813888], [[[1, 11], [2, 8], [6, 1], [8, 1]], 17299/23781703680], [[[1, 11], [2, 8], [6, 1], [10, 1]], 4963/12740198400], [[[1, 11], [2, 10], [3, 1], [4, 1]], 70949779/4280706662400], [[[1, 11], [2, 10], [3, 1], [6, 1]], 18514669/2140353331200], [[[1, 11], [2, 10], [4, 1], [6, 1]], 1606529/158544691200], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/6635520], [[[1, 11], [3, 2], [4, 2], [7, 1]], 31/216760320], [[[1, 11], [3, 2], [5, 1], [7, 1]], 13/2257920], [[[1, 11], [3, 3], [4, 2], [5, 1]], 97/278691840], [[[1, 11], [3, 4], [4, 1], [8, 1]], 13/39813120], [[[1, 11], [4, 1], [5, 2], [8, 1]], 1/5529600], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/15482880], [[[1, 12], [2, 1], [3, 2], [5, 2]], 132721/13934592000], [[[1, 12], [2, 1], [3, 3], [4, 3]], 3071/16721510400], [[[1, 12], [2, 1], [3, 3], [7, 1]], 3533/609638400], [[[1, 12], [2, 1], [3, 4], [4, 2]], 5219/11147673600], [[[1, 12], [2, 1], [3, 4], [5, 1]], 3011/348364800], [[[1, 12], [2, 1], [3, 4], [8, 1]], 13/79626240], [[[1, 12], [2, 1], [3, 5], [4, 1]], 1/491520], [[[1, 12], [2, 1], [3, 5], [6, 1]], 49/29859840], [[[1, 12], [2, 1], [4, 2], [5, 2]], 19/132710400], [[[1, 12], [2, 1], [4, 2], [8, 2]], 1/990904320], [[[1, 12], [2, 1], [4, 3], [7, 1]], 107/5202247680], [[[1, 12], [2, 1], [5, 2], [8, 1]], 1/11059200], [[[1, 12], [2, 3], [3, 1], [4, 4]], 50719/89181388800], [[[1, 12], [2, 3], [3, 1], [5, 2]], 35423/1161216000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 79469/14863564800], [[[1, 12], [2, 3], [3, 2], [6, 3]], 1/27869184], [[[1, 12], [2, 3], [3, 2], [7, 1]], 223499/9754214400], [[[1, 12], [2, 3], [3, 3], [4, 2]], 411347/16721510400], [[[1, 12], [2, 3], [3, 3], [5, 1]], 314413/6967296000], [[[1, 12], [2, 3], [3, 3], [6, 2]], 7369/1393459200], [[[1, 12], [2, 3], [3, 3], [8, 1]], 26003/8360755200], [[[1, 12], [2, 3], [3, 3], [10, 1]], 37/32256000], [[[1, 12], [2, 3], [3, 4], [4, 1]], 30137/836075520], [[[1, 12], [2, 3], [3, 4], [6, 1]], 105059/4180377600], [[[1, 12], [2, 3], [4, 1], [5, 2]], 397/23224320], [[[1, 12], [2, 3], [4, 1], [8, 2]], 37/1981808640], [[[1, 12], [2, 3], [4, 2], [7, 1]], 13099/3468165120], [[[1, 12], [2, 3], [4, 3], [5, 1]], 1591/1114767360], [[[1, 12], [2, 3], [4, 3], [8, 1]], 187/339738624], [[[1, 12], [2, 3], [4, 3], [10, 1]], 73/2477260800], [[[1, 12], [2, 3], [4, 3], [12, 1]], 73/1486356480], [[[1, 12], [2, 3], [5, 1], [7, 1]], 869/108380160], [[[1, 12], [2, 3], [5, 2], [6, 1]], 19/49766400], [[[1, 12], [2, 3], [6, 2], [7, 1]], 1/55738368], [[[1, 12], [2, 3], [7, 1], [8, 1]], 13/46448640], [[[1, 12], [2, 3], [7, 1], [10, 1]], 1/15482880], [[[1, 12], [2, 5], [3, 1], [4, 3]], 5499343/178362777600], [[[1, 12], [2, 5], [3, 1], [6, 3]], 607/4459069440], [[[1, 12], [2, 5], [3, 1], [7, 1]], 662269/39016857600], [[[1, 12], [2, 5], [3, 2], [4, 2]], 8294687/89181388800], [[[1, 12], [2, 5], [3, 2], [5, 1]], 290911/5225472000], [[[1, 12], [2, 5], [3, 2], [6, 2]], 115891/12541132800], [[[1, 12], [2, 5], [3, 2], [8, 1]], 7433/1061683200], [[[1, 12], [2, 5], [3, 2], [10, 1]], 4099/870912000], [[[1, 12], [2, 5], [3, 3], [4, 1]], 7165271/83607552000], [[[1, 12], [2, 5], [3, 3], [6, 1]], 4990409/100329062400], [[[1, 12], [2, 5], [4, 1], [7, 1]], 149897/10404495360], [[[1, 12], [2, 5], [4, 1], [14, 1]], 1/198180864], [[[1, 12], [2, 5], [4, 2], [5, 1]], 37831/1061683200], [[[1, 12], [2, 5], [4, 2], [6, 2]], 85/509607936], [[[1, 12], [2, 5], [4, 2], [8, 1]], 17161/2972712960], [[[1, 12], [2, 5], [4, 2], [10, 1]], 93011/74317824000], [[[1, 12], [2, 5], [4, 2], [12, 1]], 24193/22295347200], [[[1, 12], [2, 5], [4, 3], [6, 1]], 5231/3963617280], [[[1, 12], [2, 5], [5, 1], [6, 2]], 113/278691840], [[[1, 12], [2, 5], [5, 1], [8, 1]], 27611/11147673600], [[[1, 12], [2, 5], [5, 1], [10, 1]], 1553/928972800], [[[1, 12], [2, 5], [6, 1], [7, 1]], 467/780337152], [[[1, 12], [2, 7], [3, 1], [4, 2]], 273974023/3567255552000], [[[1, 12], [2, 7], [3, 1], [5, 1]], 14457377/668860416000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 105481/33443020800], [[[1, 12], [2, 7], [3, 1], [8, 1]], 1397677/356725555200], [[[1, 12], [2, 7], [3, 1], [10, 1]], 463/132710400], [[[1, 12], [2, 7], [3, 2], [4, 1]], 58226717/891813888000], [[[1, 12], [2, 7], [3, 2], [6, 1]], 87487/2866544640], [[[1, 12], [2, 7], [4, 1], [5, 1]], 25131941/891813888000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 59/70778880], [[[1, 12], [2, 7], [4, 1], [8, 1]], 1650647/285380444160], [[[1, 12], [2, 7], [4, 1], [10, 1]], 343/104857600], [[[1, 12], [2, 7], [4, 1], [12, 1]], 4225/7134511104], [[[1, 12], [2, 7], [4, 2], [6, 1]], 785017/118908518400], [[[1, 12], [2, 7], [5, 1], [6, 1]], 1099/398131200], [[[1, 12], [2, 7], [6, 1], [8, 1]], 3113/10192158720], [[[1, 12], [2, 7], [6, 1], [10, 1]], 5/339738624], [[[1, 12], [2, 9], [3, 1], [4, 1]], 429101479/21403533312000], [[[1, 12], [2, 9], [3, 1], [6, 1]], 15228769/2140353331200], [[[1, 12], [2, 9], [4, 1], [6, 1]], 2384723/475634073600], [[[1, 13], [2, 2], [3, 1], [4, 4]], 121/4246732800], [[[1, 13], [2, 2], [3, 1], [5, 2]], 31181/4644864000], [[[1, 13], [2, 2], [3, 2], [4, 3]], 1067/3185049600], [[[1, 13], [2, 2], [3, 2], [7, 1]], 23447/5573836800], [[[1, 13], [2, 2], [3, 3], [4, 2]], 21311/11147673600], [[[1, 13], [2, 2], [3, 3], [5, 1]], 955153/83607552000], [[[1, 13], [2, 2], [3, 3], [6, 2]], 473/1791590400], [[[1, 13], [2, 2], [3, 3], [8, 1]], 551/1393459200], [[[1, 13], [2, 2], [3, 3], [10, 1]], 103/1741824000], [[[1, 13], [2, 2], [3, 4], [4, 1]], 31999/5573836800], [[[1, 13], [2, 2], [3, 4], [6, 1]], 14731/4180377600], [[[1, 13], [2, 2], [4, 1], [5, 2]], 5443/2322432000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 1/1981808640], [[[1, 13], [2, 2], [4, 2], [7, 1]], 433/2080899072], [[[1, 13], [2, 2], [4, 3], [5, 1]], 1193/11147673600], [[[1, 13], [2, 2], [4, 3], [8, 1]], 479/23781703680], [[[1, 13], [2, 2], [5, 1], [7, 1]], 7967/6502809600], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1/49766400], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/1950842880], [[[1, 13], [2, 2], [7, 1], [8, 1]], 37/1734082560], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/541900800], [[[1, 13], [2, 4], [3, 1], [4, 3]], 2358137/535088332800], [[[1, 13], [2, 4], [3, 1], [6, 3]], 1/92897280], [[[1, 13], [2, 4], [3, 1], [7, 1]], 33281/5573836800], [[[1, 13], [2, 4], [3, 2], [4, 2]], 43457/1981808640], [[[1, 13], [2, 4], [3, 2], [5, 1]], 1065559/41803776000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 23353/16721510400], [[[1, 13], [2, 4], [3, 2], [8, 1]], 5651/2786918400], [[[1, 13], [2, 4], [3, 2], [10, 1]], 2039/2322432000], [[[1, 13], [2, 4], [3, 3], [4, 1]], 108701/3344302080], [[[1, 13], [2, 4], [3, 3], [6, 1]], 3181799/200658124800], [[[1, 13], [2, 4], [4, 1], [7, 1]], 355849/104044953600], [[[1, 13], [2, 4], [4, 2], [5, 1]], 9713/1238630400], [[[1, 13], [2, 4], [4, 2], [6, 2]], 73/8918138880], [[[1, 13], [2, 4], [4, 2], [8, 1]], 31603/39636172800], [[[1, 13], [2, 4], [4, 2], [10, 1]], 107/928972800], [[[1, 13], [2, 4], [4, 2], [12, 1]], 91/637009920], [[[1, 13], [2, 4], [4, 3], [6, 1]], 527/3963617280], [[[1, 13], [2, 4], [5, 1], [6, 2]], 13/209018880], [[[1, 13], [2, 4], [5, 1], [8, 1]], 119/199065600], [[[1, 13], [2, 4], [5, 1], [10, 1]], 71/309657600], [[[1, 13], [2, 4], [6, 1], [7, 1]], 313/3901685760], [[[1, 13], [2, 6], [3, 1], [4, 2]], 16877971/509607936000], [[[1, 13], [2, 6], [3, 1], [5, 1]], 9975233/668860416000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 20653/26754416640], [[[1, 13], [2, 6], [3, 1], [8, 1]], 1020079/535088332800], [[[1, 13], [2, 6], [3, 1], [10, 1]], 23711/18579456000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 6090337/148635648000], [[[1, 13], [2, 6], [3, 2], [6, 1]], 1002241/66886041600], [[[1, 13], [2, 6], [4, 1], [5, 1]], 927569/63700992000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 97297/535088332800], [[[1, 13], [2, 6], [4, 1], [8, 1]], 827677/475634073600], [[[1, 13], [2, 6], [4, 1], [10, 1]], 2411/3096576000], [[[1, 13], [2, 6], [4, 1], [12, 1]], 2633/12740198400], [[[1, 13], [2, 6], [4, 2], [6, 1]], 171539/118908518400], [[[1, 13], [2, 6], [5, 1], [6, 1]], 16157/16721510400], [[[1, 13], [2, 6], [6, 1], [8, 1]], 2633/25480396800], [[[1, 13], [2, 6], [6, 1], [10, 1]], 1/8493465600], [[[1, 13], [2, 8], [3, 1], [4, 1]], 361247699/21403533312000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 9518137/2140353331200], [[[1, 13], [2, 8], [4, 1], [6, 1]], 8630327/4280706662400], [[[1, 13], [3, 1], [4, 2], [7, 1]], 1/162570240], [[[1, 13], [3, 1], [5, 1], [7, 1]], 331/1083801600], [[[1, 13], [3, 2], [4, 2], [5, 1]], 101/2786918400], [[[1, 13], [3, 3], [4, 1], [8, 1]], 103/2786918400], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/867041280], [[[1, 14], [2, 1], [3, 1], [5, 2]], 1033/1393459200], [[[1, 14], [2, 1], [3, 2], [4, 3]], 1949/133772083200], [[[1, 14], [2, 1], [3, 2], [7, 1]], 449/1219276800], [[[1, 14], [2, 1], [3, 3], [4, 2]], 103/1857945600], [[[1, 14], [2, 1], [3, 3], [5, 1]], 7193/5225472000], [[[1, 14], [2, 1], [3, 3], [8, 1]], 103/5573836800], [[[1, 14], [2, 1], [3, 4], [4, 1]], 583/1857945600], [[[1, 14], [2, 1], [3, 4], [6, 1]], 361/2090188800], [[[1, 14], [2, 1], [4, 1], [5, 2]], 73/580608000], [[[1, 14], [2, 1], [4, 2], [7, 1]], 41/20808990720], [[[1, 14], [2, 1], [4, 3], [5, 1]], 107/22295347200], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1/23781703680], [[[1, 14], [2, 1], [5, 1], [7, 1]], 289/3251404800], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/1734082560], [[[1, 14], [2, 3], [3, 1], [4, 3]], 20389/59454259200], [[[1, 14], [2, 3], [3, 1], [6, 3]], 1/3344302080], [[[1, 14], [2, 3], [3, 1], [7, 1]], 92587/78033715200], [[[1, 14], [2, 3], [3, 2], [4, 2]], 76703/29727129600], [[[1, 14], [2, 3], [3, 2], [5, 1]], 191507/27869184000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 13597/133772083200], [[[1, 14], [2, 3], [3, 2], [8, 1]], 43291/133772083200], [[[1, 14], [2, 3], [3, 2], [10, 1]], 13/165888000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 13393/2090188800], [[[1, 14], [2, 3], [3, 3], [6, 1]], 19961/7431782400], [[[1, 14], [2, 3], [4, 1], [7, 1]], 45503/104044953600], [[[1, 14], [2, 3], [4, 2], [5, 1]], 1913/2123366400], [[[1, 14], [2, 3], [4, 2], [8, 1]], 30389/416179814400], [[[1, 14], [2, 3], [4, 2], [10, 1]], 5797/1040449536000], [[[1, 14], [2, 3], [4, 2], [12, 1]], 5797/624269721600], [[[1, 14], [2, 3], [4, 3], [6, 1]], 73/11890851840], [[[1, 14], [2, 3], [5, 1], [6, 2]], 19/4180377600], [[[1, 14], [2, 3], [5, 1], [8, 1]], 1789/22295347200], [[[1, 14], [2, 3], [5, 1], [10, 1]], 19/1161216000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 41/7803371520], [[[1, 14], [2, 5], [3, 1], [4, 2]], 3063499/356725555200], [[[1, 14], [2, 5], [3, 1], [5, 1]], 17419469/2675441664000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 24631/200658124800], [[[1, 14], [2, 5], [3, 1], [8, 1]], 2243/3963617280], [[[1, 14], [2, 5], [3, 1], [10, 1]], 7313/27869184000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 41187221/2675441664000], [[[1, 14], [2, 5], [3, 2], [6, 1]], 122581/26754416640], [[[1, 14], [2, 5], [4, 1], [5, 1]], 1049113/222953472000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 91/3822059520], [[[1, 14], [2, 5], [4, 1], [8, 1]], 245981/665887703040], [[[1, 14], [2, 5], [4, 1], [10, 1]], 16717/148635648000], [[[1, 14], [2, 5], [4, 1], [12, 1]], 3977/89181388800], [[[1, 14], [2, 5], [4, 2], [6, 1]], 1123781/4994157772800], [[[1, 14], [2, 5], [5, 1], [6, 1]], 1637/8360755200], [[[1, 14], [2, 5], [6, 1], [8, 1]], 3977/178362777600], [[[1, 14], [2, 7], [3, 1], [4, 1]], 7575481/792723456000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 12518369/6421059993600], [[[1, 14], [2, 7], [4, 1], [6, 1]], 2558287/4280706662400], [[[1, 15], [2, 2], [3, 1], [4, 3]], 39/2569011200], [[[1, 15], [2, 2], [3, 1], [7, 1]], 10117/78033715200], [[[1, 15], [2, 2], [3, 2], [4, 2]], 24347/178362777600], [[[1, 15], [2, 2], [3, 2], [5, 1]], 289/278691840], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1061/401316249600], [[[1, 15], [2, 2], [3, 2], [8, 1]], 583/22295347200], [[[1, 15], [2, 2], [3, 2], [10, 1]], 37/13934592000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 20521/33443020800], [[[1, 15], [2, 2], [3, 3], [6, 1]], 44761/200658124800], [[[1, 15], [2, 2], [4, 1], [7, 1]], 20117/728314675200], [[[1, 15], [2, 2], [4, 2], [5, 1]], 803/17836277760], [[[1, 15], [2, 2], [4, 2], [8, 1]], 229/61656268800], [[[1, 15], [2, 2], [4, 2], [10, 1]], 47/346816512000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 47/208089907200], [[[1, 15], [2, 2], [5, 1], [6, 2]], 1/8360755200], [[[1, 15], [2, 2], [5, 1], [8, 1]], 1/185794560], [[[1, 15], [2, 2], [5, 1], [10, 1]], 1/2322432000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/7803371520], [[[1, 15], [2, 4], [3, 1], [4, 2]], 152527/118908518400], [[[1, 15], [2, 4], [3, 1], [5, 1]], 952853/535088332800], [[[1, 15], [2, 4], [3, 1], [6, 2]], 19/1672151040], [[[1, 15], [2, 4], [3, 1], [8, 1]], 83801/832359628800], [[[1, 15], [2, 4], [3, 1], [10, 1]], 11/371589120], [[[1, 15], [2, 4], [3, 2], [4, 1]], 4526741/1337720832000], [[[1, 15], [2, 4], [3, 2], [6, 1]], 166279/200658124800], [[[1, 15], [2, 4], [4, 1], [5, 1]], 5697919/6242697216000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 5797/3745618329600], [[[1, 15], [2, 4], [4, 1], [8, 1]], 168589/3329438515200], [[[1, 15], [2, 4], [4, 1], [10, 1]], 56317/6242697216000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 4307/749123665920], [[[1, 15], [2, 4], [4, 2], [6, 1]], 7409/332943851520], [[[1, 15], [2, 4], [5, 1], [6, 1]], 107/4777574400], [[[1, 15], [2, 4], [6, 1], [8, 1]], 4307/1498247331840], [[[1, 15], [2, 6], [3, 1], [4, 1]], 19391453/5549064192000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 239389/428070666240], [[[1, 15], [2, 6], [4, 1], [6, 1]], 3566267/29964946636800], [[[1, 15], [3, 1], [4, 2], [5, 1]], 13/8918138880], [[[1, 15], [3, 2], [4, 1], [8, 1]], 37/22295347200], [[[1, 15], [4, 1], [5, 1], [8, 1]], 1/3715891200], [[[1, 16], [2, 1], [3, 1], [4, 3]], 907/1872809164800], [[[1, 16], [2, 1], [3, 1], [7, 1]], 781/109247201280], [[[1, 16], [2, 1], [3, 2], [4, 2]], 701/249707888640], [[[1, 16], [2, 1], [3, 2], [5, 1]], 15571/195084288000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 37/44590694400], [[[1, 16], [2, 1], [3, 3], [4, 1]], 251/11147673600], [[[1, 16], [2, 1], [3, 3], [6, 1]], 19/2675441664], [[[1, 16], [2, 1], [4, 1], [7, 1]], 19/29132587008], [[[1, 16], [2, 1], [4, 2], [5, 1]], 11/22295347200], [[[1, 16], [2, 1], [4, 2], [8, 1]], 47/554906419200], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/7431782400], [[[1, 16], [2, 3], [3, 1], [4, 2]], 14759/142690222080], [[[1, 16], [2, 3], [3, 1], [5, 1]], 927191/3121348608000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 509/936404582400], [[[1, 16], [2, 3], [3, 1], [8, 1]], 11033/1070176665600], [[[1, 16], [2, 3], [3, 1], [10, 1]], 439/260112384000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 3953911/9364045824000], [[[1, 16], [2, 3], [3, 2], [6, 1]], 113/1337720832], [[[1, 16], [2, 3], [4, 1], [5, 1]], 126841/1248539443200], [[[1, 16], [2, 3], [4, 1], [6, 2]], 47/1248539443200], [[[1, 16], [2, 3], [4, 1], [8, 1]], 3007/713451110400], [[[1, 16], [2, 3], [4, 1], [10, 1]], 817/2080899072000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 107/249707888640], [[[1, 16], [2, 3], [4, 2], [6, 1]], 6079/4994157772800], [[[1, 16], [2, 3], [5, 1], [6, 1]], 11/8360755200], [[[1, 16], [2, 3], [6, 1], [8, 1]], 107/499415777280], [[[1, 16], [2, 5], [3, 1], [4, 1]], 120642103/149824733184000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 1516213/14982473318400], [[[1, 16], [2, 5], [4, 1], [6, 1]], 30661/1997663109120], [[[1, 17], [2, 2], [3, 1], [4, 2]], 19427/4994157772800], [[[1, 17], [2, 2], [3, 1], [5, 1]], 29941/1040449536000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 29/2809213747200], [[[1, 17], [2, 2], [3, 1], [8, 1]], 55/99883155456], [[[1, 17], [2, 2], [3, 1], [10, 1]], 29/780337152000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 171799/6242697216000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 229/52022476800], [[[1, 17], [2, 2], [4, 1], [5, 1]], 4049/693633024000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 421/1997663109120], [[[1, 17], [2, 2], [4, 1], [10, 1]], 1/99090432000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 1/59454259200], [[[1, 17], [2, 2], [4, 2], [6, 1]], 47/1664719257600], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/33443020800], [[[1, 17], [2, 2], [6, 1], [8, 1]], 1/118908518400], [[[1, 17], [2, 4], [3, 1], [4, 1]], 1717283/14982473318400], [[[1, 17], [2, 4], [3, 1], [6, 1]], 31547/2809213747200], [[[1, 17], [2, 4], [4, 1], [6, 1]], 907/713451110400], [[[1, 17], [3, 1], [4, 1], [8, 1]], 29/1248539443200], [[[1, 18], [2, 1], [3, 1], [4, 2]], 37/713451110400], [[[1, 18], [2, 1], [3, 1], [5, 1]], 1823/1248539443200], [[[1, 18], [2, 1], [3, 1], [8, 1]], 29/2497078886400], [[[1, 18], [2, 1], [3, 2], [4, 1]], 251/346816512000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 83/936404582400], [[[1, 18], [2, 1], [4, 1], [5, 1]], 809/6242697216000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 1/156067430400], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/6242697216000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/3745618329600], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/7491236659200], [[[1, 18], [2, 3], [3, 1], [4, 1]], 724007/74912366592000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 2179/2996494663680], [[[1, 18], [2, 3], [4, 1], [6, 1]], 1007/14982473318400], [[[1, 19], [2, 2], [3, 1], [4, 1]], 21799/49941577728000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 37/1498247331840], [[[1, 19], [2, 2], [4, 1], [6, 1]], 13/5992989327360], [[[1, 20], [2, 1], [3, 1], [4, 1]], 19/2378170368000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/2996494663680], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/29964946636800], [[[2, 3], [4, 3], [8, 2], [16, 1]], 1/8192], [[[2, 5], [4, 2], [6, 2], [14, 2]], 1/112896], [[[2, 5], [4, 2], [6, 4], [10, 2]], 1/518400], [[[2, 5], [4, 3], [6, 1], [8, 3]], 1/49152], [[[2, 5], [4, 4], [8, 1], [16, 1]], 1/147456], [[[2, 5], [4, 4], [8, 2], [10, 1]], 1/40960], [[[2, 5], [4, 4], [8, 2], [12, 1]], 1/24576], [[[2, 5], [6, 2], [10, 1], [14, 2]], 1/8820], [[[2, 5], [6, 3], [10, 2], [14, 1]], 1/37800], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/301056], [[[2, 7], [4, 1], [8, 2], [16, 1]], 1/294912], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/451584], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/414720], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/290304], [[[2, 7], [4, 2], [6, 5], [10, 1]], 1/622080], [[[2, 7], [4, 4], [6, 1], [8, 2]], 1/196608], [[[2, 7], [6, 1], [10, 1], [14, 2]], 13/141120], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/20160], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/30240], [[[2, 9], [4, 1], [6, 5], [8, 1]], 1/995328], [[[2, 9], [4, 2], [6, 2], [10, 2]], 11/11059200], [[[2, 9], [4, 2], [6, 3], [14, 1]], 1/829440], [[[2, 9], [4, 2], [6, 4], [10, 1]], 17/12441600], [[[2, 9], [4, 2], [8, 1], [16, 1]], 1/10321920], [[[2, 9], [6, 1], [10, 2], [14, 1]], 1/44800], [[[2, 9], [6, 3], [10, 1], [14, 1]], 11/345600], [[[2, 11], [4, 1], [6, 4], [8, 1]], 13/39813120], [[[2, 11], [4, 1], [8, 1], [10, 2]], 1/5529600], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/6635520], [[[2, 11], [4, 2], [6, 2], [14, 1]], 31/216760320], [[[2, 11], [4, 2], [6, 3], [10, 1]], 97/278691840], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/15482880], [[[2, 11], [6, 2], [10, 1], [14, 1]], 13/2257920], [[[2, 13], [4, 1], [6, 3], [8, 1]], 103/2786918400], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/867041280], [[[2, 13], [4, 2], [6, 1], [14, 1]], 1/162570240], [[[2, 13], [4, 2], [6, 2], [10, 1]], 101/2786918400], [[[2, 13], [6, 1], [10, 1], [14, 1]], 331/1083801600], [[[2, 15], [4, 1], [6, 2], [8, 1]], 37/22295347200], [[[2, 15], [4, 1], [8, 1], [10, 1]], 1/3715891200], [[[2, 15], [4, 2], [6, 1], [10, 1]], 13/8918138880], [[[2, 17], [4, 1], [6, 1], [8, 1]], 29/1248539443200], [[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 1/8192], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/49152], [[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 1/147456], [[[1, 1], [2, 4], [4, 1], [7, 1], [14, 2]], 1/1568], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/18432], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 2]], 1/112896], [[[1, 1], [2, 4], [4, 2], [6, 4], [10, 2]], 1/518400], [[[1, 1], [2, 4], [4, 2], [8, 1], [14, 2]], 1/50176], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 1/6144], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 1/49152], [[[1, 1], [2, 4], [4, 3], [6, 1], [14, 2]], 1/112896], [[[1, 1], [2, 4], [4, 3], [6, 3], [10, 2]], 1/518400], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 2]], 1/14336], [[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 1/7168], [[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 7/147456], [[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 1/40960], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 1/24576], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 1/73728], [[[1, 1], [2, 4], [4, 5], [7, 1], [8, 1]], 1/344064], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/8820], [[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/37800], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 1/294912], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/4704], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/64800], [[[1, 1], [2, 6], [3, 1], [8, 1], [14, 2]], 1/225792], [[[1, 1], [2, 6], [4, 1], [5, 1], [14, 2]], 1/188160], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/288000], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 3/12544], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 7/518400], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 5/100352], [[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 13/294912], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 11/188160], [[[1, 1], [2, 6], [4, 1], [12, 1], [14, 2]], 1/112896], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 7/294912], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/64512], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/110592], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 23/2073600], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/145152], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 1/311040], [[[1, 1], [2, 6], [4, 2], [7, 1], [8, 2]], 1/172032], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/172032], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 1/81920], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 5/147456], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1/460800], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/72576], [[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 1/331776], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 1/155520], [[[1, 1], [2, 6], [4, 3], [7, 1], [14, 1]], 1/129024], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 1/20480], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 17/245760], [[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 5/147456], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 5/196608], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 1/81920], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 1/49152], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 11/28224], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 19/100800], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/345600], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/18144], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/903168], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/497664], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 1/1966080], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/37632], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/34560], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 5/72576], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 1/746496], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/51840], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 1/622080], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/288000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 11/215040], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 127/4147200], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 5/72576], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 7/995328], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 11/622080], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 1/373248], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/80640], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1/491520], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 19/2211840], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 31/2903040], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 1/147456], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 7/777600], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 1/921600], [[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 29/10321920], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/737280], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 41/5898240], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/1382400], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/215040], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 7/6635520], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 67/12441600], [[[1, 1], [2, 8], [4, 3], [7, 1], [8, 1]], 1/6881280], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/4128768], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 1/393216], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 13/80640], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/307200], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/193536], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1271/7257600], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/414720], [[[1, 1], [2, 8], [7, 1], [8, 1], [14, 1]], 1/258048], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/2985984], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 7/9953280], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 1/76800], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 29/1935360], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 13/29859840], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 77/4147200], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 1/4147200], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 13/24883200], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 1/3456000], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 3209/193536000], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 253/11612160], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 187/39813120], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 61/3110400], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 13/14929920], [[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 1/9031680], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 19/5529600], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/49545216], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 1/2073600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 1/8257536], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 17/8294400], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 25/10838016], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 1/442368], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 1537/348364800], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 71/144506880], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/967680], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 23/43352064], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 31/247726080], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 619/464486400], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/17694720], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/921600], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 1/860160], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 2407/33868800], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 29/16588800], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 13/119439360], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/16588800], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 31/371589120], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/829440], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 23/27095040], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 103/2090188800], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 13/3870720], [[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/650280960], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 103/1741824000], [[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/541900800], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 427/165888000], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 1277/541900800], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 577/696729600], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 3503/696729600], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 103/1045094400], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 79/1734082560], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 131/108380160], [[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/325140480], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 1/6635520], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 107/412876800], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 79/111476736], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 71/619315200], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/185794560], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1487/11147673600], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 1/14450688], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 4141/650280960], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 47/154828800], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 103/8360755200], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/2601123840], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/278691840], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 17/2601123840], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 37/16721510400], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 331/1857945600], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/2786918400], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 37/13934592000], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/2322432000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 43/464486400], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 2363/44590694400], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 6977/13934592000], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 37/8360755200], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 83/7431782400], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/1393459200], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1/91750400], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 1801/44590694400], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 61/3715891200], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 37/66886041600], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/11147673600], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/35672555520], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 29/936404582400], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/743178240], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 29/780337152000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 1367/1248539443200], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 29369/1560674304000], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 29/468202291200], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 29/3745618329600], [[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 1/8192], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 5/49152], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 1/147456], [[[1, 2], [2, 3], [3, 1], [7, 1], [14, 2]], 1/1176], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 2]], 1/2764800], [[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 1/147456], [[[1, 2], [2, 3], [4, 1], [7, 1], [14, 2]], 1/1568], [[[1, 2], [2, 3], [4, 2], [5, 1], [14, 2]], 1/31360], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/18432], [[[1, 2], [2, 3], [4, 2], [7, 2], [8, 1]], 1/6272], [[[1, 2], [2, 3], [4, 2], [7, 2], [10, 1]], 1/31360], [[[1, 2], [2, 3], [4, 2], [7, 2], [12, 1]], 1/18816], [[[1, 2], [2, 3], [4, 2], [8, 1], [14, 2]], 9/50176], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 2], [12, 1], [14, 2]], 1/18816], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 5/49152], [[[1, 2], [2, 3], [4, 3], [6, 1], [14, 2]], 1/112896], [[[1, 2], [2, 3], [4, 3], [6, 3], [10, 2]], 1/518400], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 3/28672], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 5/28672], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 1/20480], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 1/147456], [[[1, 2], [2, 3], [4, 4], [6, 2], [10, 2]], 1/2764800], [[[1, 2], [2, 3], [4, 4], [7, 1], [14, 1]], 1/43008], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 1/3072], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 1/20480], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/6144], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 1/73728], [[[1, 2], [2, 3], [4, 5], [7, 1], [8, 1]], 1/344064], [[[1, 2], [2, 3], [6, 1], [7, 2], [14, 1]], 1/1176], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 7/294912], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/150528], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 41/589824], [[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 1/2949120], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 1/196608], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/2646], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/48600], [[[1, 2], [2, 5], [3, 1], [8, 1], [14, 2]], 1/32256], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 1/1769472], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/84672], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 1/388800], [[[1, 2], [2, 5], [4, 1], [5, 1], [14, 2]], 1/26880], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/96000], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 31/112896], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 7/518400], [[[1, 2], [2, 5], [4, 1], [7, 2], [8, 1]], 1/301056], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 17/75264], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 7/32768], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 41/188160], [[[1, 2], [2, 5], [4, 1], [12, 1], [14, 2]], 1/16128], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 2]], 1/150528], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 37/294912], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 37/150528], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 5/110592], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 17/691200], [[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 1/290304], [[[1, 2], [2, 5], [4, 2], [6, 5], [10, 1]], 1/622080], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 17/172032], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/8192], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 3/81920], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 11/73728], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 13/1382400], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 5/290304], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/165888], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 1/124416], [[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 1/18432], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 23/61440], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 49/245760], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 23/147456], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 11/73728], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/2764800], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 23/1548288], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 1/82944], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 23/3317760], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 13/172032], [[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 1/71680], [[[1, 2], [2, 5], [4, 4], [7, 1], [12, 1]], 1/43008], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 73/516096], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 1/1290240], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/491520], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 1/81920], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 1/49152], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 1/73728], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/23520], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/108000], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/25088], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 17/47040], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 17/100800], [[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/12096], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/115200], [[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/45360], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/100352], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/165888], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/124416], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 73/5898240], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 1/2359296], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 71/338688], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 199/1555200], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 19/108864], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 1/248832], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/23328], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 2]], 1/55296000], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/36864], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 1/589824], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 11/5308416], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/345600], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 1/7776], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 19/466560], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 1/207360], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/48000], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 1711/4515840], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 499/4147200], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 37/290304], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 11/995328], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/34560], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 1/124416], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 1/344064], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/344064], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/12600], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/92160], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 7/491520], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 61/576000], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 37/983040], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 193/3686400], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 115/580608], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 7/147456], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/15552], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 1/55296], [[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 1/17920], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 13/921600], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 17/368640], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 71/1474560], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 1/345600], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 107/1179648], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/172800], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 19/552960], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 167/6635520], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 739/24883200], [[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 31/6881280], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 31/4128768], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/193536], [[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 1/163840], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/184320], [[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 1/344064], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/276480], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 17/491520], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 19/3686400], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 281/4423680], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 13/294912], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 7/786432], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 1/96000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 2], [2, 7], [5, 1], [7, 1], [14, 1]], 1/53760], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 19/50400], [[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 1/16128], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 19/921600], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 1/48384], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 5/18144], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/103680], [[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 13/258048], [[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 1/10752], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 125/2985984], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 61/6635520], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 23/61931520], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 1/2764800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/368640], [[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 1/58982400], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 1/589824], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 1/2949120], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 431/4147200], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 263/1741824], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 77/9953280], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 2147/18662400], [[[1, 2], [2, 9], [3, 1], [7, 1], [14, 1]], 1/1505280], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 13/4147200], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/497664], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/184320], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1/35389440], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1/1036800], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/60480], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 1/552960], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 307/9331200], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/1451520], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 47/8294400], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 13/3456000], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 1/983040], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 24797/193536000], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 569/2903040], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 1019/39813120], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 307/2764800], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 47/4976640], [[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 29/9031680], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1/40960], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 197/247726080], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 1/1474560], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 13/2073600], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/276480], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 71/90316800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 169/41287680], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 43/1843200], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 499/7741440], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 1/32768], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 3437/49766400], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 1/165888], [[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 1/10321920], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 1381/144506880], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 1/57344], [[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 71/54190080], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/9830400], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 1543/216760320], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 859/123863040], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 6779/464486400], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 17/8847360], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 971/123863040], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 587/619315200], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 1/288000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 1/268800], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 29/5184000], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 1/403200], [[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 1/215040], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 1/92160], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 17/1290240], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 337/1209600], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 121/8294400], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 337/23887872], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 1/743178240], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 1/1105920], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 811/371589120], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 71/433520640], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 23/74317824], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 1/47185920], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 1/62208], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 263/16257024], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 253/154828800], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 23057/522547200], [[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 1/18579456], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/5806080], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 1/2211840], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/10321920], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 1/16257024], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 1/9289728], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1249/348364800], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 37/32256000], [[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 1/15482880], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 1/16515072], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 39169/1161216000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 10541/270950400], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 4519/557383680], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 1181/19353600], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 37/19353600], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 317/346816512], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 10499/541900800], [[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 1/9289728], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 107/258048000], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 1/619315200], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 101/387072000], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 8567/1300561920], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 181/34406400], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 48269/2786918400], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 107/154828800], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 1523/619315200], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/371589120], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 71/232243200], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 961/1486356480], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 24721/11147673600], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 1/4515840], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 47/48384000], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 11/8028160], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 19483/406425600], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 701/154828800], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 13697/8360755200], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 37/2601123840], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 661/3715891200], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/2972712960], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 71/1857945600], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 107/8918138880], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 991/3901685760], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 589/5573836800], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 32623/8360755200], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 19/1393459200], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 1/37158912], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 1/1114767360], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 61/4180377600], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 13/165888000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 19/1161216000], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 379/162570240], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 17939/22295347200], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 7507/774144000], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 13/99532800], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 29/123863040], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 19/696729600], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/57344000], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 253/825753600], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 34849/22295347200], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 1/34406400], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 61/1161216000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 281/743178240], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 2389/33443020800], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 47/416179814400], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 1/278691840], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 143/29727129600], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 17/9754214400], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 377/6688604160], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/4459069440], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 439/260112384000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 16223/624269721600], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 91051/173408256000], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 439/156067430400], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 1/1337720832], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 2]], 1/112896], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 5/49152], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 1/73728], [[[1, 3], [2, 2], [3, 1], [7, 1], [14, 2]], 1/1176], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 2]], 1/2764800], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 1/147456], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 2]], 1/518400], [[[1, 3], [2, 2], [4, 1], [7, 2], [14, 1]], 1/1568], [[[1, 3], [2, 2], [4, 2], [5, 1], [14, 2]], 1/31360], [[[1, 3], [2, 2], [4, 2], [7, 2], [8, 1]], 9/50176], [[[1, 3], [2, 2], [4, 2], [7, 2], [10, 1]], 1/31360], [[[1, 3], [2, 2], [4, 2], [7, 2], [12, 1]], 1/18816], [[[1, 3], [2, 2], [4, 2], [8, 1], [14, 2]], 1/6272], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 1/1536], [[[1, 3], [2, 2], [4, 2], [12, 1], [14, 2]], 1/18816], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 5/49152], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 5/28672], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 3/28672], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 1/20480], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 1/147456], [[[1, 3], [2, 2], [4, 4], [6, 2], [10, 2]], 1/2764800], [[[1, 3], [2, 2], [4, 4], [7, 1], [14, 1]], 1/43008], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 1/3072], [[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 1/20480], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/6144], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 1/147456], [[[1, 3], [2, 2], [4, 5], [8, 1], [14, 1]], 1/344064], [[[1, 3], [2, 2], [6, 1], [7, 2], [14, 1]], 1/1176], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 11/147456], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/50176], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 2]], 1/921600], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 137/589824], [[[1, 3], [2, 4], [3, 1], [4, 5], [7, 1]], 1/172032], [[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 1/2949120], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 1/196608], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/6048], [[[1, 3], [2, 4], [3, 1], [6, 4], [10, 2]], 1/194400], [[[1, 3], [2, 4], [3, 1], [7, 2], [8, 1]], 1/225792], [[[1, 3], [2, 4], [3, 1], [8, 1], [14, 2]], 1/25088], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 3]], 1/288000], [[[1, 3], [2, 4], [3, 2], [4, 1], [14, 2]], 1/112896], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 7/1382400], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/12288], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 1/82944], [[[1, 3], [2, 4], [3, 2], [4, 4], [7, 1]], 1/1548288], [[[1, 3], [2, 4], [3, 2], [4, 5], [5, 1]], 1/368640], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/221184], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1/73728], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/84672], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 1/388800], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/41472], [[[1, 3], [2, 4], [3, 3], [4, 4], [5, 1]], 1/3317760], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 1/331776], [[[1, 3], [2, 4], [3, 3], [5, 2], [8, 1]], 1/1036800], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 2]], 1/62720], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 2]], 1/12544], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 2]], 1/112896], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 1/96000], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/28224], [[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 31/301056], [[[1, 3], [2, 4], [4, 1], [7, 2], [10, 1]], 3/62720], [[[1, 3], [2, 4], [4, 1], [7, 2], [12, 1]], 1/37632], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/3584], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 41/98304], [[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 11/62720], [[[1, 3], [2, 4], [4, 1], [12, 1], [14, 2]], 1/12544], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 2]], 1/50176], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 23/147456], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 5/21504], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/27648], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 11/691200], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 29/86016], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 31/86016], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/6144], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/6400], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/6400], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 29/147456], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 17/1382400], [[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/290304], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/331776], [[[1, 3], [2, 4], [4, 3], [6, 4], [10, 1]], 1/622080], [[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 53/73728], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 11/40960], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/4608], [[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 1/430080], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 43/147456], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/691200], [[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 1/64512], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 5/331776], [[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 1/138240], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 11/114688], [[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 1/71680], [[[1, 3], [2, 4], [4, 4], [7, 1], [12, 1]], 1/43008], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 167/1032192], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 1/322560], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 19/368640], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/61440], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 1/172032], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 23/1769472], [[[1, 3], [2, 4], [4, 5], [6, 2], [10, 1]], 1/368640], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 73/1474560], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/6144], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 1/73728], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/23520], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 1/108000], [[[1, 3], [2, 4], [6, 1], [7, 2], [8, 1]], 1/75264], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/32256], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/15680], [[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/33600], [[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [6, 3], [8, 1], [10, 2]], 7/1036800], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 2]], 1/1505280], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 13/451584], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/165888], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 2]], 1/307200], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 43/393216], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 23/2654208], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/196608], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 41/589824], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 1/98304], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 5/294912], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1/1179648], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 137/338688], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 253/1555200], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 31/217728], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 1/248832], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 13/466560], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/62208], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 2]], 7/18432000], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 19/331776], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 37/1769472], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 41/331776], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 65/5308416], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 7/884736], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/368640], [[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 1/221184], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 1/294912], [[[1, 3], [2, 6], [3, 2], [5, 2], [8, 1]], 1/2764800], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 13/1036800], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 71/217728], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/13824], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 11/116640], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 2]], 1/6912000], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/20736], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 1/663552], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 1/13824], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 5/331776], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/2654208], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/72576], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/155520], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 1/207360], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 2]], 5/903168], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 1/24000], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 27/50176], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/55296], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 251/2073600], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 1/16128], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 5/995328], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 7/622080], [[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 1/124416], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 3/114688], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 3/114688], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 11/67200], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 19/829440], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 143/1474560], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 247/576000], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/51200], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 17/65536], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 53/409600], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/4032], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 83/1327104], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 29/414720], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 19/497664], [[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 23/53760], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 17/307200], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 53/184320], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 107/491520], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 7/345600], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 7/276480], [[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 1/143360], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 1/143360], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 2219/5898240], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 61/2764800], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/258048], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 5/21504], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 25/165888], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 221/2488320], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 7/165888], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 187/1376256], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/28672], [[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 1/28672], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 83/196608], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 53/1290240], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 1/86016], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 23/491520], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 11/230400], [[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 1/61440], [[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 1/114688], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 11/430080], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 317/2949120], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 287/11059200], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 451/2211840], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 55/294912], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 5707/35389440], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 7/983040], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1/110592], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 13/288000], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 1/30240], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/64800], [[[1, 3], [2, 6], [5, 1], [7, 1], [14, 1]], 3/17920], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 11/33600], [[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 5/16128], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 19/460800], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 1/36288], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 19/120960], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/77760], [[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 1/4096], [[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 29/53760], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 79/746496], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 2]], 1/18432000], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 2609/19906560], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 167/13762560], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 1/307200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 49/737280], [[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 1/2580480], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1/688128], [[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 7/19660800], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 59/6635520], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 17/2621440], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 41/3538944], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1/103680], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 241/829440], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 6949/17418240], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 143/4976640], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 8501/37324800], [[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 59/4515840], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 1/69120], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/82944000], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 133/995328], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/1769472], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/2073600], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 173/3317760], [[[1, 3], [2, 8], [3, 2], [4, 2], [7, 1]], 1/30965760], [[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 1/5529600], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 53/1658880], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 11/5898240], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 1/1769472], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/129600], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 47/322560], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 11/276480], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 3559/18662400], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 1/145152], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/55296], [[[1, 3], [2, 8], [3, 3], [4, 2], [5, 1]], 1/66355200], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 1/663552], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/4423680], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/580608], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/331776], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 1/248832], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 113/4147200], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1/491520], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 137/1152000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/76800], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 17/1474560], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 3007/9216000], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 4733/11612160], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 433/7962624], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 11/61440], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 17/622080], [[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 17/322560], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 151/1843200], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 3/327680], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 1/122880], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 1/34560], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 17/518400], [[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 1/8601600], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 313/30105600], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 3013/41287680], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 43/368640], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 3331/7741440], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 377/2654208], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 4727/16588800], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 17/311040], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 19/4128768], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 3421/48168960], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 47/368640], [[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 313/18063360], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 29/3686400], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 353/20643840], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 47/1105920], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 11/2064384], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 1103/15482880], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 653/4423680], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1657/16588800], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 29/2211840], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 13/98304], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 1243/30965760], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 1/368640], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 1/491520], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 34159/495452160], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 6103/619315200], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 1/36000], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 1/28800], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 23/648000], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 43/645120], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 109/2764800], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 13/286720], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 137/302400], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 2093/49766400], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 151/3870720], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 15487/119439360], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 1/21233664], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 89/16588800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 6589/139345920], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 1081/433520640], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1/35389440], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 2383/185794560], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 187/247726080], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/2949120], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 443/743178240], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 1/460800], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 199/2488320], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 1217/11612160], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 821/55738368], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 101809/522547200], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 83/130056192], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/362880], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 581/19906560], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 71/325140480], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 169/46448640], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/53084160], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 1/4423680], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 31/20321280], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 121/30965760], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 14549/348364800], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 17/23224320], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 1/53084160], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/2488320], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 1307/116121600], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 841/541900800], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 11/9175040], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 8783/55296000], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 7751/36126720], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 701/17418240], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 167183/696729600], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 887/69672960], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 1/82575360], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 53/6193152], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 20479/180633600], [[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 83/65028096], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 2623/387072000], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 11/88473600], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 337/64512000], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 4889/61931520], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 2651/61931520], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 46189/309657600], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 2623/232243200], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 69/3276800], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 1/10616832], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 1/201600], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 17/20643840], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 4253/212336640], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 126043/5573836800], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 17/12386304], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 89/22579200], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 607/48384000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/1105920], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 299/30965760], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 22361/135475200], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 1613/66355200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 216883/8360755200], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 157/650280960], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 253/45875200], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 11/297271296], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 647/928972800], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 41/84934656], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 1/7741440], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 5255/1560674304], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 4379/2786918400], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 106103/3344302080], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 13/69672960], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 1351/796262400], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/2229534720], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 71/1393459200], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 71/743178240], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 1/30965760], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1703/4180377600], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 1501/1161216000], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 1/619315200], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 2087/4644864000], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 23971/1083801600], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 303409/44590694400], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 242119/3483648000], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 2039/1393459200], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 2039/825753600], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 13/34836480], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 1999/4644864000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 55399/14863564800], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 6331/297271296], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 1999/2786918400], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 1283/1161216000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 2329/696729600], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 109657/66886041600], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 1979/416179814400], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 739/11147673600], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 39143/178362777600], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/928972800], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 167/4459069440], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 1133/1337720832], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 149/11147673600], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 437/9289728000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 31109/89181388800], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 61499/10616832000], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 11/222953472], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 13073/535088332800], [[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/18432], [[[1, 3], [3, 2], [4, 1], [8, 2], [16, 1]], 1/4608], [[[1, 3], [4, 2], [7, 1], [8, 1], [16, 1]], 1/1792], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 2]], 1/112896], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 1/49152], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 1/73728], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 2]], 1/112896], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/18432], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/8820], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 2]], 1/518400], [[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/37800], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 2]], 1/518400], [[[1, 4], [2, 1], [4, 1], [7, 2], [14, 1]], 1/1568], [[[1, 4], [2, 1], [4, 2], [7, 2], [8, 1]], 1/50176], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 1/6144], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 1/7168], [[[1, 4], [2, 1], [4, 3], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 1/40960], [[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 7/147456], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 1/24576], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 1/147456], [[[1, 4], [2, 1], [4, 5], [8, 1], [14, 1]], 1/344064], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 5/21504], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 23/147456], [[[1, 4], [2, 3], [3, 1], [4, 2], [14, 2]], 1/50176], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/691200], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 43/147456], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 1/172032], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 1/73728], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/15680], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/84672], [[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/32256], [[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/23520], [[[1, 4], [2, 3], [3, 1], [8, 1], [14, 2]], 1/75264], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 1/96000], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/28224], [[[1, 4], [2, 3], [3, 2], [4, 1], [14, 2]], 1/112896], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 17/1382400], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 29/147456], [[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 1/64512], [[[1, 4], [2, 3], [3, 2], [4, 5], [5, 1]], 1/368640], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/221184], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 23/1769472], [[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/33600], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/6048], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 11/691200], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/41472], [[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/290304], [[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 1/138240], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 5/331776], [[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 1/388800], [[[1, 4], [2, 3], [3, 3], [5, 2], [8, 1]], 7/1036800], [[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 1/108000], [[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 4], [4, 3], [5, 1]], 1/622080], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/331776], [[[1, 4], [2, 3], [3, 4], [5, 2], [6, 1]], 1/194400], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 11/62720], [[[1, 4], [2, 3], [4, 1], [5, 1], [14, 2]], 3/62720], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 2]], 1/112896], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 3]], 1/288000], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/3584], [[[1, 4], [2, 3], [4, 1], [7, 2], [10, 1]], 1/12544], [[[1, 4], [2, 3], [4, 1], [7, 2], [12, 1]], 1/12544], [[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 31/301056], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 41/98304], [[[1, 4], [2, 3], [4, 1], [10, 1], [14, 2]], 1/62720], [[[1, 4], [2, 3], [4, 1], [12, 1], [14, 2]], 1/37632], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/50176], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 11/147456], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 31/86016], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 29/86016], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 11/40960], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/6400], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/6400], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/12288], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 7/1382400], [[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 53/73728], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/6144], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/4608], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 1/322560], [[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 1/71680], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 137/589824], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 2]], 1/921600], [[[1, 4], [2, 3], [4, 4], [6, 2], [14, 1]], 1/1548288], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 1/331776], [[[1, 4], [2, 3], [4, 4], [6, 3], [10, 1]], 1/3317760], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 167/1032192], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 11/114688], [[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 1/430080], [[[1, 4], [2, 3], [4, 4], [12, 1], [14, 1]], 1/43008], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 73/1474560], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/61440], [[[1, 4], [2, 3], [4, 5], [6, 1], [14, 1]], 1/172032], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1/73728], [[[1, 4], [2, 3], [4, 5], [6, 2], [10, 1]], 1/368640], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 19/368640], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/6144], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 1/196608], [[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 1/2949120], [[[1, 4], [2, 3], [6, 1], [7, 2], [8, 1]], 1/25088], [[[1, 4], [2, 3], [6, 1], [8, 1], [14, 2]], 1/225792], [[[1, 4], [2, 3], [6, 3], [8, 1], [10, 2]], 1/1036800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 1/96000], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 43/4515840], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/21504], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/497664], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 23/921600], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/82944], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 229/393216], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 47/2654208], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1/10752], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 19/1032192], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 11/983040], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 19/884736], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 1009/7077888], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 1/98304], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 5/294912], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 67/7077888], [[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/134400], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 11/169344], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 97/338688], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 121/1555200], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/27216], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 1/746496], [[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 1/233280], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/62208], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 71/3686400], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 19/331776], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 13/147456], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 55/331776], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 13/774144], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 67/2211840], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 17/147456], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 271/1769472], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1/36864], [[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 5/110592], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 1/147456], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/1036800], [[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 17/2764800], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/288000], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 11/1036800], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 13/72576], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 29/108864], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/13824], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 31/466560], [[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 2]], 103/20736000], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 1/6912], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 1/82944], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1/3456], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 7/1658880], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 19/331776], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 11/442368], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 1/92160], [[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 25/2654208], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/155520], [[[1, 4], [2, 5], [3, 3], [5, 1], [7, 1]], 1/1451520], [[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 11/777600], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 5/72576], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 1/5184], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 1/13824], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/77760], [[[1, 4], [2, 5], [3, 3], [7, 1], [8, 1]], 1/580608], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/10368], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/36864], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/829440], [[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 1/497664], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/497664], [[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 1/77760], [[[1, 4], [2, 5], [3, 4], [5, 1], [8, 1]], 1/1244160], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 1/124416], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 1/622080], [[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/44800], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 29/903168], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 1/28800], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 11/50176], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/41472], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 1/27648], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 1/290304], [[[1, 4], [2, 5], [4, 1], [6, 5], [12, 1]], 1/373248], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 5/73728], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 5/73728], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/8400], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 11/829440], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 89/368640], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 9/12800], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/15360], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 73/192000], [[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 1/38400], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 259/884736], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 229/2211840], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 23/387072], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 29/1327104], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 11/829440], [[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 11/497664], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 53/64512], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 9/102400], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 101/147456], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 27/81920], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 1/23040], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/27648], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/12288], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/20480], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 917/1179648], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 107/2764800], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 1/258048], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 85/387072], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 67/442368], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 19/276480], [[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 5/82944], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 661/1376256], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 11/143360], [[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 3/28672], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1051/1376256], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 143/1290240], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 1/12288], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/40960], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 401/1474560], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 13/46080], [[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1/46080], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 25/1032192], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 89/774144], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 193/884736], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 113/2211840], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 1/24576], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 137/368640], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 7/12288], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/184320], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 2689/11796480], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 13/983040], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 1/110592], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 11/288000], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 1/1792], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 13/134400], [[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 5/16128], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 41/1382400], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/72576], [[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 37/1451520], [[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 41/86016], [[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 23/26880], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 11/124416], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 167/27648000], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 539/1990656], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 10613/123863040], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/92160], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 1663/6635520], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/161280], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 3/229376], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 139/8847360], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1423/6635520], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 2197/14155776], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 5/147456], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 5/147456], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 85/1769472], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 1/34560], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 1/28800], [[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 1/921600], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 41/115200], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/193536], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 365/870912], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 65/1492992], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 119/622080], [[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 19/215040], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 1/34560], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 61/82944000], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 1075/2985984], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 7/884736], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 7/2073600], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 929/1990656], [[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 1/552960], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/516096], [[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 47/11059200], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 71/245760], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 25/884736], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/147456], [[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 1/147456], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 5/73728], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 19/414720], [[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/3628800], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 19/4147200], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 1/51840], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 29/580608], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 31/72576], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 101/552960], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 779/1866240], [[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 1/1548288], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 1/48384], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 5/18432], [[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 1/3870720], [[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 7/8294400], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 7/73728], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 71/13271040], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 1/110592], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 17/1244160], [[[1, 4], [2, 7], [3, 3], [5, 1], [8, 1]], 1/3317760], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/1161216], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 1/72576], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 5/165888], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 41/622080], [[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 1/8294400], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/165888], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/2654208], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/3981312], [[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 1/2488320], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/995328], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 103/2488320], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 7/368640], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 649/1152000], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 7/614400], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 3/25600], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 511/8847360], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 9257/27648000], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 173/580608], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 137/2654208], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 55/497664], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 23/746496], [[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 53/161280], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 787/5529600], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 169/4128768], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 151/4423680], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 1/17280], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 401/4147200], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 167/12902400], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 83/1612800], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/307200], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1303/3538944], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 1333/5529600], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/172032], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 2053/3096576], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 9/32768], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 151/442368], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 37/311040], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 757/6881280], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 5/172032], [[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 1/73728], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 977/2293760], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 179/516096], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 41/552960], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 13/204800], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 1391/10321920], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1951/5529600], [[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 1/40960], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 59/2064384], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 589/1720320], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 8899/17694720], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 9629/33177600], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 7/69120], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 337/589824], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 2729/10321920], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 1/36864], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 7/460800], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 12197/23592960], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 4637/58982400], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 101/2211840], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/7200], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 1/13440], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 7/86400], [[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 1/430080], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/6720], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 1/28800], [[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 5/18432], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 11/172800], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 127/1935360], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 311/967680], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 661/12441600], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/13824], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/27648000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 13283/39813120], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 115/74317824], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 31/1843200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 1577/4423680], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 11/20643840], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 2059/144506880], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 167/176947200], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 45041/371589120], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 2599/165150720], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 1/245760], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 8353/198180864], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 31/1382400], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/154828800], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 401/2073600], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 1/774144], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 659/2322432], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 6181/119439360], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 28969/74649600], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 143/43352064], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 13/829440], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 14557/59719680], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/46448640], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 313/108380160], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/3686400], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 79/884736], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1507/743178240], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 1/2211840], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 19/3317760], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 29/3317760], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 1/2903040], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 1/80640], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1093/30965760], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 9649/49766400], [[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/99532800], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 643/46448640], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/9953280], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 19/17694720], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/6220800], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/2654208], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 11/2488320], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/6635520], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 671/12441600], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/12902400], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 2593/180633600], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 79/5898240], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 26687/77414400], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 7177/15482880], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 2609/26542080], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 7973/19906560], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 263/7464960], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 103/82575360], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 16861/433520640], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 54097/180633600], [[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 143/21676032], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 6977/154828800], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 673/41287680], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 5357/77414400], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 13/4128768], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 21509/61931520], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 949/4587520], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 4211/8847360], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 5759/92897280], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 6619/44236800], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 241/37158912], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 1367/46448640], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 781/51609600], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 17639/99090432], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 241597/1857945600], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 1177/61931520], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 37/1612800], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 77/1152000], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 13/1105920], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 6599/216760320], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 807/2867200], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 28453/464486400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 423413/2786918400], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 41/18579456], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 1/70778880], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 104767/1592524800], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 3431/2972712960], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 157/30965760], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 23123/2972712960], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 47/19353600], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/6451200], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 1/123863040], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 19753/975421440], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 86567/8360755200], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 258697/2090188800], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 113/92897280], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 125567/5573836800], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 23/1274019840], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 1/1209600], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 1697/743178240], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 1/265420800], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 5/12386304], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 97/23887872], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 13/92897280], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 40003/3483648000], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 23/353894400], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 9013/1548288000], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 322139/3251404800], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 6631/206438400], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 543307/2322432000], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 4099/522547200], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 12863/928972800], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 113/46448640], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 1403/290304000], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 207749/7431782400], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 131543/1061683200], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 18623/2786918400], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 317/33177600], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 20437/1393459200], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 88009/5573836800], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 113/1486356480], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 953/1393459200], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 304393/89181388800], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 1/25804800], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 52757/133772083200], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 23021/3715891200], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 17971/66886041600], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 19307/27869184000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 5023/1857945600], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 1453597/44590694400], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 7313/16721510400], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 461389/1248539443200], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 37/150528], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 37/294912], [[[1, 5], [2, 2], [3, 1], [4, 2], [14, 2]], 1/150528], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/2764800], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 11/73728], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 1/73728], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 17/47040], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/84672], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/25088], [[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/23520], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/96000], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 31/112896], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 13/1382400], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 11/73728], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 23/1548288], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 17/100800], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/2646], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 17/691200], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 5/110592], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 5/290304], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 23/3317760], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 1/82944], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 1/82944], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 1/388800], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/115200], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/108000], [[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/12096], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 7/518400], [[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 1/290304], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 1/124416], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/165888], [[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/45360], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/48600], [[[1, 5], [2, 2], [3, 5], [4, 2], [5, 1]], 1/622080], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 41/188160], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 17/75264], [[[1, 5], [2, 2], [4, 1], [7, 2], [10, 1]], 1/26880], [[[1, 5], [2, 2], [4, 1], [7, 2], [12, 1]], 1/16128], [[[1, 5], [2, 2], [4, 1], [8, 1], [14, 2]], 1/301056], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 7/32768], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/150528], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 7/294912], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/8192], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 17/172032], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 49/245760], [[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 1/18432], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 23/61440], [[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 3/81920], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 23/147456], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 1/1290240], [[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 1/71680], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 41/589824], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 73/516096], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 13/172032], [[[1, 5], [2, 2], [4, 4], [12, 1], [14, 1]], 1/43008], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 1/81920], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 1/1769472], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/491520], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 1/49152], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 1/196608], [[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 1/2949120], [[[1, 5], [2, 2], [6, 1], [7, 2], [8, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 1/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 11/50176], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 29/903168], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 107/2764800], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/497664], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 917/1179648], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 25/2654208], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 89/774144], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 25/1032192], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 13/983040], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 1/147456], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 2689/11796480], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 1/110592], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 67/7077888], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 13/134400], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 97/338688], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 11/169344], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 11/777600], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 229/2211840], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/36864], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 259/884736], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 19/331776], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 85/387072], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 1/258048], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 113/2211840], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 17/147456], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 193/884736], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/40960], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 1/24576], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 19/884736], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 11/1036800], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 41/1382400], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 11/288000], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/1036800], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 1/5184], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 5/72576], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 1/124416], [[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 1/77760], [[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 5/16128], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 1/27648], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/10368], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/41472], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1/3456], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 23/387072], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 19/276480], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 55/331776], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 67/442368], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/27648], [[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 5/82944], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 47/2654208], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/77760], [[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 37/1451520], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 121/1555200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 29/108864], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 13/72576], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 1/13824], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/155520], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/72576], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 1/60480], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 1/6912], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 1/290304], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 11/829440], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 19/331776], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 29/1327104], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 11/829440], [[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 11/497664], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/82944], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 31/466560], [[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 1/155520], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 1/129600], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/27216], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/13824], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/62208], [[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 1/622080], [[[1, 5], [2, 4], [3, 5], [4, 1], [12, 1]], 1/373248], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/497664], [[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 1/233280], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 1/746496], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/8400], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/21504], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 1/96000], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 43/4515840], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 1/82944], [[[1, 5], [2, 4], [4, 1], [6, 3], [10, 2]], 103/20736000], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 5/73728], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 5/73728], [[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/44800], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/829440], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 27/81920], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 73/192000], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 9/102400], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 9/12800], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 1/23040], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 13/147456], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 71/3686400], [[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 1/497664], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 53/64512], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/15360], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 101/147456], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 89/368640], [[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 1/38400], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 1/92160], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 143/1290240], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 11/143360], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 229/393216], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 23/921600], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 13/774144], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 11/442368], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 7/1658880], [[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 1/55296], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1051/1376256], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/20480], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 1/12288], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 661/1376256], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/12288], [[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 3/28672], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1/36864], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 137/368640], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 13/46080], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/184320], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 19/1032192], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1/10752], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 271/1769472], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 67/2211840], [[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 5/110592], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 401/1474560], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 7/12288], [[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 1/98304], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 1009/7077888], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 11/983040], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 5/294912], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/288000], [[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 23/26880], [[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/134400], [[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 17/2764800], [[[1, 5], [2, 4], [6, 3], [8, 1], [14, 1]], 1/580608], [[[1, 5], [2, 4], [6, 3], [10, 1], [14, 1]], 1/1451520], [[[1, 5], [2, 4], [6, 4], [8, 1], [10, 1]], 1/1244160], [[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 41/86016], [[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 1/1792], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 25/995328], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 581/9216000], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 173/995328], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1187/3538944], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 23/1382400], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 443/1327104], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 1013/6193152], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 101/1032192], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 809/8847360], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 3097/8847360], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1429/2359296], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 23/294912], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 41/442368], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 613/3538944], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/34560], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1/9600], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1/345600], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 17/1382400], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 1/96000], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 17/82944], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/48384], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 635/3483648], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 61/1990656], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 539/7464960], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 169/645120], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 11/460800], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 737/27648000], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 995/2985984], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 7/196608], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/138240], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 229/248832], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 5/129024], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 1/73728], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 953/13271040], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 1099/1327104], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 923/3538944], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 17/221184], [[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 1/12288], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1115/5308416], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 31/207360], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 31/3628800], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 221/4147200], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 1/64800], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 47/145152], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 83/145152], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 7/27648], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 217/622080], [[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 1/110592], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/161280], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/48384], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 11/13824], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/207360], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1/55296], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 197/331776], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 583/13271040], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1/46080], [[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 1/55296], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 23/147456], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/9720], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 1/184320], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 1/345600], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 47/1741824], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 1/36288], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 5/36864], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 103/622080], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 71/24883200], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 331/2985984], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 5/884736], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/552960], [[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 1/995328], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 103/3981312], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 47/3732480], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 19/1990656], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/103680], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/995328], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 7/331776], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 79/1474560], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 331/384000], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/230400], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 119/1843200], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 199/384000], [[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 1/76800], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 167/2211840], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 4037/27648000], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 803/11612160], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 7/294912], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 319/12441600], [[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 13/995328], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 101/129024], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 149/1105920], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 95/1179648], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 7/110592], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 11/230400], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 37/414720], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 83/614400], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 5/43008], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 11/921600], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 3307/5898240], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 187/921600], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 1/57344], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 257/774144], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 265/1327104], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 23/165888], [[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 11/124416], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 11533/20643840], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 89/860160], [[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 5/73728], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 5623/6881280], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 11/30720], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 29/258048], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 139/1105920], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 2903/4915200], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 143/184320], [[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 1/12288], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 113/1032192], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 899/2064384], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 2111/3538944], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 3601/13271040], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/6144], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 539/589824], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 1201/2211840], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 1/12288], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 211/3686400], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 32293/35389440], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 5159/35389440], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 77/737280], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1/8000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 7/129600], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 1/46080], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 79/403200], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/3360], [[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 1/153600], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 17/43008], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 5/110592], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 1/24576], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 29/322560], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 289/9953280], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 79/1290240], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 521/165888000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 61/163840], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 313/24772608], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 103/3317760], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 62357/79626240], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 587/61931520], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 3559/86704128], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 239/9830400], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 533/829440], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 50053/275251200], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 137/2211840], [[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 13/589824], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 171013/594542592], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 31/460800], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 97/154828800], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/138240], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 1019/4147200], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 5/387072], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 1387/3870720], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 3643/39813120], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 28783/74649600], [[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 1/884736], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 239/30965760], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 11/290304], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 44267/59719680], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 5/3096576], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 41/3317760], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 19/2457600], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 3053/4423680], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 10907/371589120], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1/98304], [[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 7/2654208], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 2647/17694720], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 277/3317760], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 13/13271040], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 73/11612160], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 487/11612160], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 1807/13271040], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 7523/16588800], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 31/33177600], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 907/6635520], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/311040], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 103/4423680], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 133/24883200], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 5/884736], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 49/2488320], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 379/119439360], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 1621/16588800], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 467/77414400], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 1387/25804800], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/368640], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 281/4587520], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 4081/11059200], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 1/442368], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 1403/3225600], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 857/6635520], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 38939/124416000], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 437/9953280], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 2711/123863040], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/114688], [[[1, 5], [2, 8], [4, 1], [7, 1], [12, 1]], 1/1032192], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 95803/867041280], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 29257/77414400], [[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 239/15482880], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 1603/11059200], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 1759/12386304], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 7619/18432000], [[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 7/737280], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 103/4128768], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 35803/61931520], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 8707/17694720], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 27491/44236800], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 443/3317760], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 1203/2293760], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 179/4128768], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 1/12800], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1979/22118400], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 50761/70778880], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 24533/66355200], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 461/4423680], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/645120], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 9/179200], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 551/3456000], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 7/122880], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 1/2064384], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 1451/30965760], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 18413/77414400], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 5129/66355200], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 225613/557383680], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 1/5160960], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 2917/260112384], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 269/353894400], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 210211/619315200], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 881/55050240], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 18163/928972800], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 800867/8918138880], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 107/6451200], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/35389440], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 59/19353600], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 17/61931520], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 15677/260112384], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 13177/371589120], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 142853/557383680], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 1909/464486400], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 7/66355200], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 5587/39813120], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 2699/4459069440], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 1367/278691840], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 17239/743178240], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 49/132710400], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 659/222953472], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 26447/1393459200], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 257/92897280], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 103/2064384], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 391/123863040], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 16339/387072000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 17/24772608], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 2371/10838016], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 218027/2477260800], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 469547/1161216000], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 983/46448640], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 37451/743178240], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 1909/232243200], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 58003/1857945600], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 32627/235929600], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 849923/2477260800], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 16361/557383680], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 1943/43008000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 38779/1114767360], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 1/424673280], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 248473/3185049600], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 60121/89181388800], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 4639/1114767360], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 229373/8918138880], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 607/1238630400], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 104437/44590694400], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 413339/16721510400], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 46553/16721510400], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 14029/2654208000], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 13901/1101004800], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 1619581/15925248000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 23711/11147673600], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 59551/19818086400], [[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/37632], [[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/18432], [[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/9216], [[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/172800], [[[1, 5], [3, 3], [4, 2], [5, 1], [7, 1]], 1/120960], [[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/7680], [[[1, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/64512], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 7/294912], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 5/196608], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 11/28224], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/75264], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/288000], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 3/12544], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1/460800], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 5/147456], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 19/100800], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/4704], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 23/2073600], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/110592], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/72576], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/345600], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 7/518400], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/145152], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 1/155520], [[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 1/331776], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/18144], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/64800], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 1/311040], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 11/188160], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 5/100352], [[[1, 6], [2, 1], [4, 1], [7, 2], [10, 1]], 1/188160], [[[1, 6], [2, 1], [4, 1], [7, 2], [12, 1]], 1/112896], [[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 13/294912], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 1/294912], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/172032], [[[1, 6], [2, 1], [4, 2], [8, 2], [14, 1]], 1/172032], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 17/245760], [[[1, 6], [2, 1], [4, 3], [7, 1], [14, 1]], 1/129024], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 1/20480], [[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 1/81920], [[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 5/147456], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 1/81920], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 1/49152], [[[1, 6], [2, 1], [6, 1], [7, 2], [8, 1]], 1/225792], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 1/24000], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 27/50176], [[[1, 6], [2, 3], [3, 1], [4, 1], [14, 2]], 5/903168], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 61/2764800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 2219/5898240], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/2654208], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 11/430080], [[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 1/114688], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 7/983040], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 1/294912], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 5707/35389440], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1/1179648], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 11/33600], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 137/338688], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 53/409600], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 17/65536], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 5/331776], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 5/21504], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/258048], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 287/11059200], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 65/5308416], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 317/2949120], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 1/55296], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 13/1036800], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 19/460800], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 13/288000], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/72576], [[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 5/16128], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 251/2073600], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/55296], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 1/13824], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/4032], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 221/2488320], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 41/331776], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 25/165888], [[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 7/276480], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 7/165888], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 23/2654208], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/155520], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 19/120960], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 253/1555200], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 71/217728], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 1/36288], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 1/30240], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/20736], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 1/16128], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 29/414720], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 19/331776], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 83/1327104], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 19/829440], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 19/497664], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/55296], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 11/116640], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/77760], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/64800], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 31/217728], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/13824], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 7/622080], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/62208], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 5/995328], [[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 1/207360], [[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 1/124416], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/165888], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 13/466560], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 1/248832], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 11/67200], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 13/451584], [[[1, 6], [2, 3], [4, 1], [6, 1], [14, 2]], 1/1505280], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 1/663552], [[[1, 6], [2, 3], [4, 1], [6, 3], [10, 2]], 1/6912000], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 3/114688], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 3/114688], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 107/491520], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 17/307200], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 247/576000], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 7/345600], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 37/1769472], [[[1, 6], [2, 3], [4, 2], [6, 2], [10, 2]], 7/18432000], [[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 23/53760], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/51200], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 53/184320], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 143/1474560], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 53/1290240], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/28672], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 43/393216], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 2]], 1/307200], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 83/196608], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 1/143360], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 1/86016], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 187/1376256], [[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 1/143360], [[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 1/28672], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/368640], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 451/2211840], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 11/230400], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 7/884736], [[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 1/221184], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 23/491520], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 55/294912], [[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 1/61440], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 1/98304], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 41/589824], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/196608], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 5/294912], [[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 29/53760], [[[1, 6], [2, 3], [6, 2], [8, 1], [10, 2]], 1/2764800], [[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 1/4096], [[[1, 6], [2, 3], [7, 1], [10, 1], [14, 1]], 3/17920], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/995328], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 187/921600], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 103/3981312], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 3307/5898240], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 11/921600], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 23/147456], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 899/2064384], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 113/1032192], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 5159/35389440], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1115/5308416], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 32293/35389440], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 211/3686400], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 77/737280], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 613/3538944], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/103680], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 1/9600], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 1/64800], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 5/110592], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1/8000], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 221/4147200], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 1/36288], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 47/1741824], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 19/1990656], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 47/3732480], [[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 17/43008], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 1/153600], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 4037/27648000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 331/2985984], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 167/2211840], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/230400], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 197/331776], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 257/774144], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 1/57344], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 3601/13271040], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 1099/1327104], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 2111/3538944], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 139/1105920], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/6144], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 3097/8847360], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 103/622080], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 29/322560], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 17/82944], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1/345600], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 83/145152], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 47/145152], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 5/36864], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/9720], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 1/24576], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/20160], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/161280], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 11/13824], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 803/11612160], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 23/165888], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 229/248832], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 265/1327104], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 37/414720], [[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 11/124416], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 443/1327104], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 217/622080], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 289/9953280], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 7/129600], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 635/3483648], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/48384], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 7/27648], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 31/207360], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 319/12441600], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 995/2985984], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 7/294912], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 7/331776], [[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 13/995328], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 173/995328], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 539/7464960], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 61/1990656], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/34560], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 25/995328], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/552960], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 7/110592], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 199/384000], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/138240], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 149/1105920], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 331/384000], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 11/230400], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 7/196608], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 737/27648000], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/207360], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 5/884736], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 71/24883200], [[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 1/995328], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 101/129024], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 119/1843200], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 95/1179648], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 79/1474560], [[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 1/76800], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1/46080], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 11/30720], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 89/860160], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 23/1382400], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1187/3538944], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 581/9216000], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 1/73728], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 5/129024], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 583/13271040], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1/55296], [[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 1/55296], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 5623/6881280], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 5/43008], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 29/258048], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 11533/20643840], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 83/614400], [[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 5/73728], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 17/221184], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 539/589824], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 143/184320], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 1/12288], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 101/1032192], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 1013/6193152], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 923/3538944], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 953/13271040], [[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 1/12288], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 2903/4915200], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 1201/2211840], [[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 1/12288], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 23/294912], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1429/2359296], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 809/8847360], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 41/442368], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/48384], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/161280], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 1/345600], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 79/1290240], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 79/403200], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 11/460800], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 169/645120], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 17/1382400], [[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 1/110592], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 31/3628800], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 1/184320], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 1/46080], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 7763/165888000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 22183/119439360], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 449/8847360], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 557/16588800], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 18193/26542080], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 36131/309657600], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 6319/61931520], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 2863/17694720], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 58907/53084160], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 1987487/2477260800], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 1613/8847360], [[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 19/196608], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 287227/424673280], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 73/829440], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 107/7257600], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 223/4147200], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 17/103680], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 341/5806080], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 503/2322432], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 3121/39813120], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 2941/14929920], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 23/2064384], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 1/92160], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 7/884736], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 73/1935360], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 63511/59719680], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 1229/46448640], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 29/1548288], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 18737/221184000], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 22627/13271040], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 24223/132710400], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 191/2211840], [[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 53/1327104], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 2123/2949120], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 37/122880], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 31/2654208], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 11/460800], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 97/1658880], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 907/11612160], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 3349/13271040], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 1739/3317760], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1901/99532800], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 877/1327104], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 1/38880], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 43/3317760], [[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 7/1990656], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 313/1327104], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1259/24883200], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 245/7962624], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 47/829440], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 4109/119439360], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 37/552960], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 4973/77414400], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 397/5160960], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 97/5529600], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 49/552960], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 10819/55296000], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 5/442368], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 3373/19353600], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 2293/26542080], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 28513/248832000], [[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 23/995328], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 53/483840], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 11/245760], [[[1, 6], [2, 7], [4, 1], [7, 1], [12, 1]], 1/147456], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 20831/123863040], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 19/81920], [[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 7/442368], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 809/4423680], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 7291/14745600], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 10223/11059200], [[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 7/138240], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 391/4128768], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 6061/14745600], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 42307/88473600], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 78577/221184000], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 317/2654208], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 8429/11059200], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 361/4423680], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 209/2211840], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 1763/8847360], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 84509/70778880], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 52901/132710400], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 713/4423680], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 1/69120], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 3/71680], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 59/460800], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 41/368640], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 1/294912], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 359/10321920], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 17/181440], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 3107/66355200], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 671363/1194393600], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 359/92897280], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 13267/433520640], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 1391/78643200], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 31439/37158912], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 401207/3715891200], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 62249/928972800], [[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 1/196608], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 80579/165150720], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 3649/66355200], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 41/35389440], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 77/3686400], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 2459/371589120], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 1009/10321920], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 163/2322432], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 59281/199065600], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 481/66355200], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 11/2949120], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 295891/557383680], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 24049/2972712960], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 217/14745600], [[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 1/5308416], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 310901/1857945600], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 2473/265420800], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 5083/371589120], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 3593/66355200], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 17/688128], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 2189/22118400], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 13441/495452160], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 132457/774144000], [[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 1/1474560], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 181/24772608], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 65797/270950400], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 107693/743178240], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 215471/580608000], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 191/6635520], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 27677/232243200], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 481/33177600], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 833/7372800], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 48421/123863040], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 3991/8192000], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 577/8847360], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1/2949120], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 6223/55296000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 83969/1857945600], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 451/2123366400], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 2424811/11147673600], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 3845/891813888], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 2321/154828800], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 4146043/35672555520], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 289/82575360], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 38083/4459069440], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 196097/3344302080], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 237611/13377208320], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 3337/154828800], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 2280181/59454259200], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 20311897/111476736000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 1837/318504960], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 7622147/535088332800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/48000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 1711/4515840], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/172800], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 107/1179648], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/276480], [[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 1/344064], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 7/786432], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 1/2359296], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 19/50400], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 71/338688], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 193/3686400], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 37/983040], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 19/552960], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 19/3686400], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 11/5308416], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 17/491520], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/345600], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 19/921600], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 1/96000], [[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 1/16128], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 499/4147200], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/221184], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 115/580608], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 739/24883200], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 167/6635520], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 5/18144], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 199/1555200], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 1/7776], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 1/48384], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/60480], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 37/290304], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/15552], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/36864], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 7/147456], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/92160], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 1/55296], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/124416], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 19/466560], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/103680], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/129600], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 19/108864], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 1/124416], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/34560], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 11/995328], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 1/207360], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 1/124416], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/165888], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/23328], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 1/248832], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/12600], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/100352], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/344064], [[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 1/344064], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 71/1474560], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 13/921600], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 61/576000], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 1/345600], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 1/589824], [[[1, 7], [2, 2], [4, 2], [6, 2], [10, 2]], 1/55296000], [[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 1/17920], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 17/368640], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 7/491520], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/193536], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 73/5898240], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 31/4128768], [[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 31/6881280], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 281/4423680], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/184320], [[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 1/163840], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 13/294912], [[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 1/10752], [[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 13/258048], [[[1, 7], [2, 2], [7, 1], [10, 1], [14, 1]], 1/53760], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 1333/5529600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/3981312], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1303/3538944], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/307200], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 1/110592], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 589/1720320], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 59/2064384], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 4637/58982400], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 5/73728], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 12197/23592960], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 7/460800], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 101/2211840], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 85/1769472], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 1/28800], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 1/51840], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 11/172800], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/7200], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 19/4147200], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 1/72576], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/1161216], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/995328], [[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 1/2488320], [[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 5/18432], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 9257/27648000], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/165888], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 511/8847360], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 7/73728], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 2053/3096576], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/172032], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 9629/33177600], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 71/245760], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 8899/17694720], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 13/204800], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 7/69120], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1423/6635520], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 41/622080], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 311/967680], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 41/115200], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 31/72576], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 29/580608], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 5/165888], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 17/1244160], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 127/1935360], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 1/13440], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 5/18432], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 173/580608], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 151/442368], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 929/1990656], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 9/32768], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 401/4147200], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 37/311040], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 1663/6635520], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 779/1866240], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 661/12441600], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 7/86400], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 365/870912], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/193536], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 101/552960], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 19/414720], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 55/497664], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 1075/2985984], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 137/2654208], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 103/2488320], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 23/746496], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 539/1990656], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 119/622080], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 65/1492992], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 11/124416], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 151/4423680], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 3/25600], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 7/2073600], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 787/5529600], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 649/1152000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 1/17280], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 7/884736], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 61/82944000], [[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 1/3870720], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/2654208], [[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 1/8294400], [[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 53/161280], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 7/614400], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 169/4128768], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 7/368640], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 179/516096], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 5/172032], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/92160], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 10613/123863040], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 167/27648000], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/516096], [[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 1/552960], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 71/13271040], [[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 7/8294400], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 977/2293760], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 83/1612800], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 41/552960], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 757/6881280], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 167/12902400], [[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 1/73728], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/147456], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 337/589824], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1951/5529600], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 1/36864], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 3/229376], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/161280], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 25/884736], [[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 47/11059200], [[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 1/147456], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 1391/10321920], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 2729/10321920], [[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 1/40960], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 5/147456], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 2197/14155776], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 139/8847360], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 5/147456], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 1/48384], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/13824], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/6720], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 1/34560], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 1/28800], [[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 19/215040], [[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 1/921600], [[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 1/1548288], [[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/3628800], [[[1, 7], [2, 4], [6, 3], [8, 1], [10, 1]], 1/3317760], [[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 1/430080], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 10819/55296000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 4109/119439360], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 49/552960], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 97/5529600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 313/1327104], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 6061/14745600], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 391/4128768], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 52901/132710400], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 2123/2949120], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 84509/70778880], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 1763/8847360], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 713/4423680], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 287227/424673280], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 47/829440], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 17/181440], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 17/103680], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 223/4147200], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 907/11612160], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 97/1658880], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 245/7962624], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1259/24883200], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 359/10321920], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 3/71680], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 1/294912], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 1/69120], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 877/1327104], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 3373/19353600], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 5/442368], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 78577/221184000], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 22627/13271040], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 42307/88473600], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 809/4423680], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 317/2654208], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 58907/53084160], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 1739/3317760], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 3107/66355200], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 59/460800], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 503/2322432], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 341/5806080], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 3349/13271040], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 37/122880], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 28513/248832000], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 63511/59719680], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 2293/26542080], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 37/552960], [[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 23/995328], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 18193/26542080], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 2941/14929920], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 3121/39813120], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 73/829440], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 22183/119439360], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 43/3317760], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 19/81920], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 11/245760], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 557/16588800], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 449/8847360], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 7763/165888000], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 29/1548288], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 1229/46448640], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 1/38880], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1901/99532800], [[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 7/1990656], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 20831/123863040], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 397/5160960], [[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 7/442368], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 53/483840], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 4973/77414400], [[[1, 7], [2, 6], [4, 1], [12, 1], [14, 1]], 1/147456], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 191/2211840], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 8429/11059200], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 10223/11059200], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 209/2211840], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 6319/61931520], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 36131/309657600], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 24223/132710400], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 18737/221184000], [[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 53/1327104], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 7291/14745600], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 361/4423680], [[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 7/138240], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 1613/8847360], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 1987487/2477260800], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 2863/17694720], [[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 19/196608], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 73/1935360], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 1/92160], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 11/460800], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 41/368640], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 7/884736], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 23/2064384], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 107/7257600], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 31/2654208], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 475261/1194393600], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 5527/154828800], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 4169/92897280], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 419371/3538944000], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 285103/265420800], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 166447/464486400], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 6947/44236800], [[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 161/5308416], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 226583/212336640], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 1267/13271040], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 13/1327104], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 781/11059200], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 1933/46448640], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 16699/185794560], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 493/6635520], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 25057/132710400], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 7/1105920], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 13897/331776000], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 1417/1327104], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 48889/1061683200], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 563/13271040], [[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 1/221184], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 1213967/1857945600], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 223/3686400], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 1109/26542080], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 6211/66355200], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 161303/1194393600], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 121/1327104], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 48467/530841600], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 305/884736], [[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 11/2211840], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 311/10321920], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 62843/464486400], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 43003/353894400], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 7409/41472000], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 49/2654208], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 78377/530841600], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 7/552960], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 1693/8847360], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 4031123/7431782400], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 541561/1548288000], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 1781/26542080], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 11/4423680], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1421/11059200], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 2041/66355200], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 10801/2123366400], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 8177291/22295347200], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 434239/22295347200], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 155567/4459069440], [[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 13/42467328], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 7792591/22295347200], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 57517/3715891200], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 45343/2229534720], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 489121/5573836800], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 286403/3715891200], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 12959/265420800], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 100661/1321205760], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 1012243/5308416000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 3217/371589120], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 22773847/535088332800], [[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/92160], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/153600], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/161280], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/96768], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/207360], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/288000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 11/215040], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/1382400], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 41/5898240], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 1/393216], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 13/80640], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/37632], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 19/2211840], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1/491520], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/215040], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/307200], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 127/4147200], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 31/2903040], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 67/12441600], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 7/6635520], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1271/7257600], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/34560], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/193536], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 5/72576], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 7/777600], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 1/147456], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/414720], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 5/72576], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 11/622080], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 7/995328], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 1/622080], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 1/373248], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/497664], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/51840], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 1/746496], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/80640], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/903168], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/737280], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 1/921600], [[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 29/10321920], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/1935360], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 1/1966080], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/4128768], [[[1, 8], [2, 1], [4, 3], [8, 1], [14, 1]], 1/6881280], [[[1, 8], [2, 1], [7, 1], [8, 1], [14, 1]], 1/258048], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 43/368640], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 3013/41287680], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 1103/15482880], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 11/2064384], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 6103/619315200], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 1/1769472], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 34159/495452160], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 1/491520], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 41/3538944], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/129600], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 109/2764800], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 1/36000], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/580608], [[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 43/645120], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 3007/9216000], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 17/1474560], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 1/663552], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 3331/7741440], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1657/16588800], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 53/1658880], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 653/4423680], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 29/3686400], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 29/2211840], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 59/6635520], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 1/248832], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 137/302400], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 241/829440], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 47/322560], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/331776], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 13/286720], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 1/28800], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/55296], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 4733/11612160], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 4727/16588800], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 173/3317760], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 377/2654208], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 17/518400], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 17/311040], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 49/737280], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 3559/18662400], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 2093/49766400], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 23/648000], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 6949/17418240], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 11/276480], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 11/61440], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 133/995328], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 433/7962624], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 113/4147200], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 17/622080], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 2609/19906560], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 8501/37324800], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 143/4976640], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1/103680], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 79/746496], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 1/122880], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/76800], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/2073600], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 151/1843200], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 137/1152000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 1/34560], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/1769472], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/82944000], [[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 17/322560], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 3/327680], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1/491520], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 47/368640], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 1/307200], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 167/13762560], [[[1, 8], [2, 3], [4, 2], [6, 1], [10, 2]], 1/18432000], [[[1, 8], [2, 3], [4, 2], [6, 2], [14, 1]], 1/30965760], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/4423680], [[[1, 8], [2, 3], [4, 2], [6, 3], [10, 1]], 1/66355200], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 3421/48168960], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 313/30105600], [[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 313/18063360], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 19/4128768], [[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 1/8601600], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 13/98304], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 47/1105920], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 1/368640], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1/688128], [[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 1/2580480], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 11/5898240], [[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 1/5529600], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 353/20643840], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 1243/30965760], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 17/2621440], [[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 7/19660800], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 1/145152], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 151/3870720], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 1/69120], [[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 59/4515840], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 4081/11059200], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 379/119439360], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 281/4587520], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/368640], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 103/4423680], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 35803/61931520], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 103/4128768], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 24533/66355200], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 2647/17694720], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 50761/70778880], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1979/22118400], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 461/4423680], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 171013/594542592], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 49/2488320], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 18413/77414400], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 1019/4147200], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/138240], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 487/11612160], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 73/11612160], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 5/884736], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 133/24883200], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 1451/30965760], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 9/179200], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 1/2064384], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/645120], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 907/6635520], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 1403/3225600], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 1/442368], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 27491/44236800], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 3053/4423680], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 8707/17694720], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 1603/11059200], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 443/3317760], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 533/829440], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 7523/16588800], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 5129/66355200], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 551/3456000], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 1387/3870720], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 5/387072], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 1807/13271040], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 277/3317760], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 38939/124416000], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 44267/59719680], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 857/6635520], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 1621/16588800], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 437/9953280], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 62357/79626240], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 28783/74649600], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 3643/39813120], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 31/460800], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 61/163840], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 29257/77414400], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/114688], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 103/3317760], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 313/24772608], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 521/165888000], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 41/3317760], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 5/3096576], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/311040], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 31/33177600], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 95803/867041280], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 1387/25804800], [[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 239/15482880], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 2711/123863040], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 467/77414400], [[[1, 8], [2, 5], [4, 1], [12, 1], [14, 1]], 1/1032192], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1/98304], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 1203/2293760], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 7619/18432000], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 1/12800], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 3559/86704128], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 587/61931520], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 10907/371589120], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 19/2457600], [[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 7/2654208], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 1759/12386304], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 179/4128768], [[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 7/737280], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 137/2211840], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 50053/275251200], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 239/9830400], [[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 13/589824], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 11/290304], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 7/122880], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 239/30965760], [[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 1/884736], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 97/154828800], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 13/13271040], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 161303/1194393600], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 62843/464486400], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 311/10321920], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 541561/1548288000], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 1213967/1857945600], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 4031123/7431782400], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 1693/8847360], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 1781/26542080], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 226583/212336640], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 6211/66355200], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 2041/66355200], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1421/11059200], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 16699/185794560], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 1933/46448640], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 1109/26542080], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 223/3686400], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 11/4423680], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 7409/41472000], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 1417/1327104], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 43003/353894400], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 121/1327104], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 49/2654208], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 285103/265420800], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 25057/132710400], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 493/6635520], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 1267/13271040], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 475261/1194393600], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 563/13271040], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 78377/530841600], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 305/884736], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 7/552960], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 4169/92897280], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 5527/154828800], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 48889/1061683200], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 13897/331776000], [[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 1/221184], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 48467/530841600], [[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 11/2211840], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 6947/44236800], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 166447/464486400], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 419371/3538944000], [[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 161/5308416], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 7/1105920], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 781/11059200], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 13/1327104], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 377647/10616832000], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 103643/278691840], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 1066661/19818086400], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 739/13107200], [[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 101/42467328], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 37345687/59454259200], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 23443/530841600], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 91589/2972712960], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 21277/265420800], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1640099/7431782400], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 34427/530841600], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 243869/2831155200], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 602821/5308416000], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 2489/371589120], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 47347703/535088332800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 43/1843200], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 169/41287680], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 1543/216760320], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 587/619315200], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 971/123863040], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1/1036800], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 1/92160], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 1/288000], [[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 1/215040], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 24797/193536000], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 1/983040], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 499/7741440], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 6779/464486400], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 859/123863040], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 1/589824], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 337/1209600], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 431/4147200], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/60480], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 17/1290240], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 1/268800], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 569/2903040], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 3437/49766400], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/184320], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 1/32768], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/276480], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 1/165888], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/368640], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 307/9331200], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 121/8294400], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 29/5184000], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 263/1741824], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 1/552960], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 307/2764800], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/497664], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 1019/39813120], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 47/8294400], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 47/4976640], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 61/6635520], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 2147/18662400], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 77/9953280], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 125/2985984], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 1/1474560], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1/40960], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 13/3456000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 13/2073600], [[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 29/9031680], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 197/247726080], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 1/57344], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 1/2764800], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 23/61931520], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 1381/144506880], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 71/90316800], [[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 71/54190080], [[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 1/10321920], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 17/8847360], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1/35389440], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/9830400], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 1/2949120], [[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 1/58982400], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/1451520], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 1/107520], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 1/403200], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 13/4147200], [[[1, 9], [2, 2], [6, 1], [7, 1], [14, 1]], 1/1505280], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 26687/77414400], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/6635520], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 79/5898240], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 19/17694720], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 21509/61931520], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 13/4128768], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 241597/1857945600], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 19/3317760], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 17639/99090432], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 781/51609600], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 1177/61931520], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 8353/198180864], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 11/2488320], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 807/2867200], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 401/2073600], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 1/80640], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 1/2903040], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/2654208], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/6220800], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 6599/216760320], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 37/1612800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 643/46448640], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 7177/15482880], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 4211/8847360], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 79/884736], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 949/4587520], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 6977/154828800], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 5759/92897280], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 45041/371589120], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 9649/49766400], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 28453/464486400], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 77/1152000], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 659/2322432], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 1/774144], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1093/30965760], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 29/3317760], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 7973/19906560], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 14557/59719680], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 2609/26542080], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 671/12441600], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 263/7464960], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 1577/4423680], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 28969/74649600], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 6181/119439360], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 31/1382400], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 13283/39813120], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 54097/180633600], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 31/1843200], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 115/74317824], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/27648000], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 313/108380160], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/46448640], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/9953280], [[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/99532800], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 16861/433520640], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 2593/180633600], [[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 143/21676032], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 103/82575360], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/12902400], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 1/2211840], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 6619/44236800], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 5357/77414400], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 1367/46448640], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 2059/144506880], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 11/20643840], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1507/743178240], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/3686400], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 673/41287680], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 241/37158912], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 1/245760], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 2599/165150720], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 167/176947200], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 13/829440], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 13/1105920], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 143/43352064], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/154828800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 17/688128], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 65797/270950400], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 181/24772608], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 3991/8192000], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 310901/1857945600], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 48421/123863040], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 833/7372800], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 577/8847360], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 80579/165150720], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 3593/66355200], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 83969/1857945600], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 6223/55296000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 1009/10321920], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 2459/371589120], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 5083/371589120], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 2473/265420800], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 215471/580608000], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 295891/557383680], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 107693/743178240], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 2189/22118400], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 191/6635520], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 31439/37158912], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 59281/199065600], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 163/2322432], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 3649/66355200], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 671363/1194393600], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 217/14745600], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 27677/232243200], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 132457/774144000], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 481/33177600], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 13267/433520640], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 359/92897280], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 24049/2972712960], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 11/2949120], [[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 1/5308416], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 13441/495452160], [[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 1/1474560], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 62249/928972800], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 401207/3715891200], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 1391/78643200], [[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 1/196608], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 481/66355200], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 77/3686400], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 41/35389440], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 602821/5308416000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1640099/7431782400], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 243869/2831155200], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 34427/530841600], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 2489/371589120], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 37345687/59454259200], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 21277/265420800], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 91589/2972712960], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 23443/530841600], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 103643/278691840], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 739/13107200], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 1066661/19818086400], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 377647/10616832000], [[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 101/42467328], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 1102163/8493465600], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 1/460800], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/860160], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 1/430080], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 29/8294400], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/645120], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 17/8294400], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 1/8257536], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 23/43352064], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/921600], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 3209/193536000], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 25/10838016], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 619/464486400], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 31/247726080], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 2407/33868800], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 1/76800], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 1/860160], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 253/11612160], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 1537/348364800], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 1/442368], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 29/16588800], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 29/1935360], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 61/3110400], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 187/39813120], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 13/24883200], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 13/14929920], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 7/9953280], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 77/4147200], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 13/29859840], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/2985984], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 19/5529600], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 1/3456000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 1/2073600], [[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 1/9031680], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/49545216], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/967680], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 71/144506880], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/17694720], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/1290240], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 1/4147200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 8783/55296000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 11/9175040], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 1/53084160], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 4889/61931520], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 126043/5573836800], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 1/4423680], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 4253/212336640], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 17/20643840], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 17/12386304], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 443/743178240], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/2488320], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 22361/135475200], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 199/2488320], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 31/20321280], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 299/30965760], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 89/22579200], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 17/23224320], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 7751/36126720], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 46189/309657600], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 169/46448640], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 2651/61931520], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 2623/387072000], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 2623/232243200], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 2383/185794560], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 14549/348364800], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 1613/66355200], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 607/48384000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 1217/11612160], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 121/30965760], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 167183/696729600], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 581/19906560], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 701/17418240], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 1307/116121600], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 887/69672960], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 6589/139345920], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 101809/522547200], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 821/55738368], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 1/460800], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 15487/119439360], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 20479/180633600], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 89/16588800], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 1/21233664], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 71/325140480], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 53/6193152], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 841/541900800], [[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 83/65028096], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 1/82575360], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 69/3276800], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 337/64512000], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 1/201600], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 1081/433520640], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/53084160], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 11/88473600], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 1/10616832], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/2949120], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 187/247726080], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1/35389440], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/362880], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/1105920], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 83/130056192], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 257/92897280], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 2371/10838016], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 17/24772608], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 849923/2477260800], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 17239/743178240], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 32627/235929600], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 58003/1857945600], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 16361/557383680], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 800867/8918138880], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 26447/1393459200], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 38779/1114767360], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 1943/43008000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 15677/260112384], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 17/61931520], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 659/222953472], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 49/132710400], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 469547/1161216000], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 5587/39813120], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 218027/2477260800], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 103/2064384], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 983/46448640], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 210211/619315200], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 142853/557383680], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 13177/371589120], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 107/6451200], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 225613/557383680], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 1367/278691840], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 37451/743178240], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 16339/387072000], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 1909/232243200], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 2917/260112384], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 1/5160960], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 2699/4459069440], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 7/66355200], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 391/123863040], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 18163/928972800], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 881/55050240], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 269/353894400], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 1909/464486400], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 59/19353600], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/35389440], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 1012243/5308416000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 286403/3715891200], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 100661/1321205760], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 12959/265420800], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 3217/371589120], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 7792591/22295347200], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 489121/5573836800], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 45343/2229534720], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 57517/3715891200], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 8177291/22295347200], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 155567/4459069440], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 434239/22295347200], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 10801/2123366400], [[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 13/42467328], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 1102163/8493465600], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 39169/1161216000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 1/16515072], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 8567/1300561920], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 24721/11147673600], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 961/1486356480], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 1/47185920], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 19483/406425600], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 1/62208], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 1/16257024], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 11/8028160], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 1/4515840], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 10541/270950400], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 48269/2786918400], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/10321920], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 181/34406400], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 107/258048000], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 107/154828800], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 23/74317824], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1249/348364800], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 701/154828800], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 47/48384000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 263/16257024], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 1/9289728], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 1181/19353600], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 1/2211840], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 4519/557383680], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 37/32256000], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 37/19353600], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 811/371589120], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 23057/522547200], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 253/154828800], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 337/23887872], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 10499/541900800], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 1/1105920], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 1/743178240], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 317/346816512], [[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 1/15482880], [[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 1/9289728], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 1523/619315200], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 101/387072000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 71/232243200], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 71/433520640], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 1/619315200], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/371589120], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/5806080], [[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 1/18579456], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 13/92897280], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 322139/3251404800], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 131543/1061683200], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 1697/743178240], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 207749/7431782400], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 1403/290304000], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 18623/2786918400], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 23123/2972712960], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 97/23887872], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 20437/1393459200], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 317/33177600], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 19753/975421440], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 1/123863040], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 5/12386304], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 1/265420800], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 543307/2322432000], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 125567/5573836800], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 6631/206438400], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 40003/3483648000], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 4099/522547200], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 104767/1592524800], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 258697/2090188800], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 86567/8360755200], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 47/19353600], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 423413/2786918400], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 1/1209600], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 12863/928972800], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 9013/1548288000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 113/46448640], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 41/18579456], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 23/1274019840], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 23/353894400], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 157/30965760], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 3431/2972712960], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 1/70778880], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 113/92897280], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/6451200], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 20311897/111476736000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 237611/13377208320], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 2280181/59454259200], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 3337/154828800], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 1837/318504960], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 4146043/35672555520], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 196097/3344302080], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 38083/4459069440], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 289/82575360], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 2424811/11147673600], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 2321/154828800], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 3845/891813888], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 451/2123366400], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 47347703/535088332800], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 1/7225344], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 47/77414400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 427/165888000], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 1/6635520], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1487/11147673600], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/185794560], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 4141/650280960], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/829440], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 1/14450688], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 1277/541900800], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 79/111476736], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 107/412876800], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 47/154828800], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 23/27095040], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 3503/696729600], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 577/696729600], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 103/1741824000], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 103/1045094400], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 31/371589120], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 13/3870720], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 103/2090188800], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 13/119439360], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 131/108380160], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/16588800], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 79/1734082560], [[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/541900800], [[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/325140480], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 71/619315200], [[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/650280960], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 23971/1083801600], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 6331/297271296], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 71/743178240], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 55399/14863564800], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 1999/4644864000], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 1999/2786918400], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 41/84934656], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1703/4180377600], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 2329/696729600], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 1283/1161216000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 5255/1560674304], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 1/30965760], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 242119/3483648000], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 1351/796262400], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 303409/44590694400], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 1501/1161216000], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 2039/1393459200], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 253/45875200], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 106103/3344302080], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 4379/2786918400], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 1/7741440], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 216883/8360755200], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 71/1393459200], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 2039/825753600], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 2087/4644864000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 13/34836480], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 157/650280960], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/2229534720], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 1/619315200], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 647/928972800], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 11/297271296], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 13/69672960], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 1619581/15925248000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 46553/16721510400], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 13901/1101004800], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 14029/2654208000], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 23711/11147673600], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 229373/8918138880], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 413339/16721510400], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 104437/44590694400], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 607/1238630400], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 248473/3185049600], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 4639/1114767360], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 60121/89181388800], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 1/424673280], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 22773847/535088332800], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 379/162570240], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 34849/22295347200], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 253/825753600], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/57344000], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 1/34406400], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 107/8918138880], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 61/4180377600], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 281/743178240], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 61/1161216000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 991/3901685760], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 1/1114767360], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 7507/774144000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 1/37158912], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 17939/22295347200], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 13/165888000], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 13/99532800], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 661/3715891200], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 32623/8360755200], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 589/5573836800], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 13697/8360755200], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 29/123863040], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 19/1161216000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 19/696729600], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 37/2601123840], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 71/1857945600], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/2972712960], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 19/1393459200], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 1453597/44590694400], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 17971/66886041600], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 5023/1857945600], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 19307/27869184000], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 7313/16721510400], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 304393/89181388800], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 23021/3715891200], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 52757/133772083200], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 1/25804800], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 88009/5573836800], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 953/1393459200], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 113/1486356480], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 7622147/535088332800], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 61/1857945600], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 43/464486400], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 1801/44590694400], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1/91750400], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 61/3715891200], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 17/2601123840], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 6977/13934592000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 2363/44590694400], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 37/13934592000], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 37/8360755200], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/278691840], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 331/1857945600], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 37/16721510400], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 103/8360755200], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 83/7431782400], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/2322432000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/1393459200], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/2601123840], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/2786918400], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 61499/10616832000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 149/11147673600], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 31109/89181388800], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 437/9289728000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 11/222953472], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 39143/178362777600], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 1133/1337720832], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 167/4459069440], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/928972800], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 109657/66886041600], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 739/11147673600], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 1979/416179814400], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 59551/19818086400], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 91051/173408256000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/4459069440], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 16223/624269721600], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 439/260112384000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 439/156067430400], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 143/29727129600], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 377/6688604160], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 17/9754214400], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 2389/33443020800], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 1/278691840], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 47/416179814400], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 461389/1248539443200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 29369/1560674304000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 1367/1248539443200], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 29/780337152000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 29/468202291200], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/35672555520], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/743178240], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 29/936404582400], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 37/66886041600], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/11147673600], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 13073/535088332800], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 1/1337720832], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 29/3745618329600], [[[2, 3], [4, 1], [6, 2], [8, 2], [16, 1]], 1/4608], [[[2, 3], [4, 2], [8, 1], [14, 1], [16, 1]], 1/1792], [[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/18432], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/37632], [[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/18432], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/172800], [[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/9216], [[[2, 5], [4, 2], [6, 3], [10, 1], [14, 1]], 1/120960], [[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/7680], [[[2, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/18432], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/153600], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/96768], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/207360], [[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/92160], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/161280], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 1/430080], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 29/8294400], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/645120], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/860160], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 1/7225344], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 47/77414400], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 61/1857945600], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/3072], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [16, 1]], 1/4608], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/3072], [[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/1792], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/5120], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/5120], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 1/30720], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 5], [5, 1], [8, 1]], 1/737280], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [14, 2]], 1/28224], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [10, 2]], 1/129600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [14, 2]], 1/23520], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [10, 2]], 1/108000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 3/12544], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 7/18432], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 2]], 1/11760], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 2]], 1/14112], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [14, 1]], 1/50400], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/172800], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/13824], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 2], [12, 1]], 1/64800], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [16, 1]], 1/10752], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 1/3584], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [8, 2]], 1/21504], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 1/4608], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 4], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1920], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 1], [2, 4], [4, 3], [6, 1], [7, 1], [14, 1]], 1/16128], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/2048], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216], [[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 4], [4, 3], [6, 2], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 1], [12, 1]], 1/10752], [[[1, 1], [2, 4], [6, 2], [7, 1], [8, 1], [14, 1]], 1/4032], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/112896], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/518400], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [8, 2]], 1/368640], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 1/36864], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 1/49152], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/13824], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 1/589824], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/221184], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 2]], 1/115200], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 1/72576], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 1/96000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [16, 1]], 1/61440], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/28800], [[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 7/153600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 1/57600], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1/12096], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 17/120960], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1/36288], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/51840], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 1], [12, 1]], 1/77760], [[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 6], [4, 1], [7, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/12288], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 11/92160], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/73728], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 5/129024], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/32256], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/55296], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [8, 1]], 1/86016], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/193536], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 1], [2, 6], [6, 1], [7, 1], [8, 1], [14, 1]], 1/16128], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/460800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/290304], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/165888], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/622080], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/1720320], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 1/294912], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/387072], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/276480], [[[1, 1], [2, 8], [3, 1], [4, 3], [5, 1], [8, 1]], 1/14745600], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 1/147456], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 1/138240], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 1/345600], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 1/322560], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 13/120960], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 29/6220800], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 1/483840], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 1/268800], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 29/5184000], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 1/403200], [[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 1/80640], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 13/460800], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 1/245760], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 1/172800], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 1/28672], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 211/1612800], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 1/161280], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 299/8294400], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 29/3110400], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 17/645120], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 1/241920], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 11/1290240], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 31/2580480], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 1/76800], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/983040], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/129024], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1382400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1290240], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 1/737280], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 29/24883200], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/1474560], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/11796480], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/15482880], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 1/5419008], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 11/967680], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 47/58060800], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4515840], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 47/48384000], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 23/7225344], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 1049/45158400], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2709504], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 809/77414400], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 47/29030400], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 229/103219200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 1/21676032], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 1/12386304], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 47/232243200], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/26542080], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 61/1393459200], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 61/1161216000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 3071/3715891200], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 61/696729600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1486356480], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 61/5573836800], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/3072], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/18432], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [16, 1]], 1/4608], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/3072], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [16, 1]], 1/1792], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/5120], [[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/5120], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [14, 2]], 1/37632], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/6144], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/10752], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 2]], 1/61440], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [7, 1]], 1/645120], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 1/36864], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 1/2304], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [8, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [8, 1]], 1/737280], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/27648], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/73728], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [14, 2]], 1/28224], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [10, 2]], 1/129600], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 2], [10, 1]], 1/144000], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/9216], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [8, 1]], 1/138240], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [14, 2]], 1/23520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 2]], 1/108000], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/4704], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/2048], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 2]], 1/11760], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 2]], 1/14112], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [14, 1]], 1/50400], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/13824], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 2], [12, 1]], 1/64800], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 3/3584], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 2]], 1/144000], [[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/2560], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 5/21504], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/7168], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 2], [12, 1]], 1/86400], [[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168], [[[1, 2], [2, 3], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1344], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 3], [6, 1], [7, 1], [14, 1]], 1/16128], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/12288], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216], [[[1, 2], [2, 3], [4, 3], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [4, 3], [6, 2], [10, 1], [14, 1]], 1/120960], [[[1, 2], [2, 3], [4, 3], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [12, 1]], 1/10752], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [14, 1]], 1/645120], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 3], [6, 2], [7, 1], [8, 1], [14, 1]], 1/4032], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/5376], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 13/82944], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 2]], 1/129024], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [14, 1]], 1/129024], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 13/368640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [8, 1]], 1/76800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/691200], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/103680], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/20736], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/9216], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 11/36864], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 1/207360], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [8, 1]], 7/368640], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 1/153600], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [7, 1]], 1/516096], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 5/13824], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 1/20480], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/294912], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 7/221184], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/7200], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1/25920], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 1/4032], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 13/345600], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/36288], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/4536], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [10, 1]], 1/77760], [[[1, 2], [2, 5], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [8, 2]], 1/276480], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 2], [8, 1]], 1/1382400], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 2], [6, 1]], 1/691200], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/36864], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/8064], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 5/20736], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 1/55296], [[[1, 2], [2, 5], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 1/110592], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 1/24192], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [10, 1]], 1/51840], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 13/288000], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 1/30240], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 1/64800], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 3/20480], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/43008], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8064], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/4032], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/12800], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 5/18432], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 13/172800], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 11/96768], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 19/120960], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1/18144], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/69120], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 1/38880], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1680], [[[1, 2], [2, 5], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2304], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 29/61440], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/15360], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 31/144000], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [14, 1]], 1/16128], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [8, 1]], 1/35840], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 31/67200], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 1/1792], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 7/230400], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 5/9216], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 53/368640], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 1/86400], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 5/16128], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 3/17920], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 5/48384], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/13824], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/20736], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 3/35840], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 11/107520], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 1/64512], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 7/51200], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 23/967680], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 77/1105920], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 2], [2, 5], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200], [[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2304], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 1/103680], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 2]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 29/552960], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 47/1382400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 85/290304], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 7/110592], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 11/124416], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 1/62208], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/691200], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 59/5160960], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 1/552960], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [7, 1]], 1/12902400], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 41/884736], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/691200], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 1/129024], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 13/387072], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 71/663552], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 23/829440], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/9216], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [8, 1]], 1/860160], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/516096], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/322560], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 31/14745600], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/774144], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/331776], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 11/138240], [[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 5/110592], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/122880], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 7/138240], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/23040], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/115200], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/32256], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/43200], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 43/967680], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 13/24192], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 229/6220800], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 1/48384], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1/96768], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 5/165888], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/207360], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 2]], 1/276480], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [8, 1]], 1/1843200], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 1/36864], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 11/276480], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/20736], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 1/442368], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 1/193536], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/145152], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 1/82944], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 1/36000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 1/28800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 23/648000], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 11/80640], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 3/25600], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 43/737280], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/147456], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 1/21600], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 121/645120], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 109/179200], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 1/17280], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 31/276480], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 23/388800], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 5/32256], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 1/24192], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 11/806400], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 1/307200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 31/288000], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 1/460800], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 5/516096], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 61/516096], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 43/286720], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 11/483840], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 239/1843200], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/184320], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/122880], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 61/2949120], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 11/215040], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 1/460800], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 17/4128768], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1/69120], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 53/774144], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 41/1658880], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 2141/24883200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 1/276480], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 71/108380160], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 1/161280], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [8, 1]], 1/22118400], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 1/10321920], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 79/15482880], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 41/2211840], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 133/11059200], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 11/1105920], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/2211840], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 101/35389440], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/3317760], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 29/15482880], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1/460800], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 283/54190080], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 13/107520], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 1739/116121600], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/774144], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/331776], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 1/331776], [[[1, 2], [2, 9], [3, 2], [4, 2], [5, 1], [6, 1]], 1/22118400], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1474560], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2580480], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/3225600], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 1/829440], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 89/22579200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 607/48384000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/368640], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 191/6021120], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 2167/9031680], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 89/13547520], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 113/1612800], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 607/29030400], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5160960], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 263/21504000], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 3623/103219200], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3096576], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 229/38707200], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 1/7741440], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 11/2580480], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 101/44236800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 481/29030400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 1/4644864], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 71/464486400], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 37/82575360], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 641/464486400], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 29/371589120], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/92897280], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1913/1393459200], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/3317760], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 1283/1161216000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 11411/1238630400], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 1283/696729600], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/928972800], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 23/550502400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 1067/1114767360], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 1/557383680], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 2]], 1/11760], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/4704], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [10, 1]], 1/23520], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [12, 1]], 1/14112], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [14, 2]], 1/37632], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/2048], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/7168], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 5/21504], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [14, 1]], 1/16128], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [7, 1]], 1/645120], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/73728], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 2], [8, 1]], 1/28224], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [7, 1]], 1/50400], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 2]], 1/46080], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/230400], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [10, 1]], 1/144000], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [7, 1]], 1/120960], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 3], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [8, 1]], 1/138240], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/27648], [[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [14, 1]], 1/4032], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [10, 1]], 1/108000], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [12, 1]], 1/64800], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/13824], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [8, 1]], 1/138240], [[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [8, 1]], 1/129600], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/6144], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 3/3584], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [10, 2]], 1/144000], [[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/10752], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/9216], [[[1, 3], [2, 2], [4, 2], [6, 2], [10, 2], [12, 1]], 1/86400], [[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168], [[[1, 3], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1344], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/2560], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [14, 1]], 1/10752], [[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 3], [2, 2], [4, 4], [6, 1], [10, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [10, 1]], 1/737280], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 5/37632], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 5/16128], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 7/41472], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 11/518400], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/25600], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/48000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [12, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 7/12288], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/20736], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/4032], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 7/9216], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 13/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 13/322560], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 9/16384], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/55296], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/103680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 23/86016], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [10, 1]], 1/17920], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [12, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 17/86016], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 29/737280], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/153600], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/258048], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 1/516096], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 5/110592], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1105920], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 13/27648], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1/20480], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 25/589824], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 17/73728], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/7200], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/4800], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 11/345600], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/72576], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/11340], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 7/276480], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 1/518400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [8, 1]], 31/1382400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/96000], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [12, 1]], 1/172800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/518400], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 53/110592], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 11/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [10, 1]], 1/80640], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [12, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [8, 1]], 11/184320], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/38400], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/96768], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 11/110592], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 7/6912], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/552960], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1/55296], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [8, 1]], 1/241920], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [8, 1]], 1/345600], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/12096], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 2], [6, 1]], 1/172800], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/82944], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 1/172800], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [12, 1]], 1/103680], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/3456], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [12, 1]], 1/41472], [[[1, 3], [2, 4], [3, 3], [4, 3], [5, 1], [6, 1]], 1/207360], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/13824], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 13/288000], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/2048], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/14336], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/14336], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/9600], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/4032], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 7/115200], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 5/18432], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/30720], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 11/172800], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 1/36288], [[[1, 3], [2, 4], [4, 1], [6, 4], [10, 1], [12, 1]], 1/77760], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1120], [[[1, 3], [2, 4], [4, 1], [7, 1], [12, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 23/30720], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 13/92160], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 17/72000], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/28800], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/5120], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/15360], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 17/33600], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 5/4608], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 11/61440], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 1/21600], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 13/43008], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 23/161280], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/18432], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 1/20736], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/7168], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 1/7168], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/3840], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/9216], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 1/17920], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/38400], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6144], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 1/1920], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 5/21504], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/3072], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 19/322560], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/10752], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/10240], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 5/55296], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 199/2211840], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 13/737280], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [8, 1]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 383/1105920], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 79/691200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/96768], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 5/9072], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 55/331776], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 47/311040], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 7/691200], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 19/245760], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [7, 1]], 1/614400], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 211/491520], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 7/27648], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/32256], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 67/193536], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 313/663552], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 7/51840], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/2592], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 29/1290240], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 1/43008], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1/552960], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 31/589824], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 11/184320], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 1/61440], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/14336], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 23/110592], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 55/110592], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 181/1658880], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 23/27648], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 49/368640], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/184320], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 31/110592], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 37/2211840], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 341/1105920], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 29/115200], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 29/172800], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [8, 1]], 1/645120], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 1/12800], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 17/32256], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/17280], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 31/40320], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 5/62208], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/20736], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1612800], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 41/4147200], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 5/110592], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 1/518400], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/12096], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 7/20736], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 25/62208], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 107/622080], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 11/41472], [[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [8, 1]], 1/387072], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/387072], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/241920], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 1/69120], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 11/691200], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/387072], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/129024], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 305/663552], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 7/46080], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 55/82944], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/61440], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 1/110592], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 35/221184], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 1/6144], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 17/69120], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 1/193536], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 23/725760], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 7/103680], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 1/69120], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [8, 1]], 1/829440], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 5/165888], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 1/41472], [[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1], [6, 1]], 1/829440], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/110592], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/138240], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 1/82944], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [8, 1]], 1/414720], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/61440], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 17/48000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 11/80640], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 77/518400], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/107520], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 31/67200], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 5/8064], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 47/230400], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 35/147456], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 11/245760], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 1/8640], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/129024], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 11/32256], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 323/483840], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 19/138240], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1/9720], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/35840], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1/2688], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 1/107520], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 9/89600], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 19/460800], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 9/32000], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 7/28800], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/30720], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 19/258048], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 223/430080], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1319/2580480], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 3/17920], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 7/138240], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 31/172800], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/27648], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 49/614400], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 233/552960], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 109/327680], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 131/552960], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/36864], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 23/201600], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 103/967680], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 31/1382400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/19353600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1051/20643840], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 109/1382400], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 5/774144], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 673/1290240], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 259/1327104], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 10919/24883200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 61/829440], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1935360], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1009/108380160], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 53/1935360], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 37/2764800], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 131/44236800], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 11/5160960], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 1067/15482880], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1037/4423680], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 463/3686400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 437/3317760], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/147456], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 29/4423680], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1909/17694720], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 187/2654208], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 5/49152], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 7/153600], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 149/3870720], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 41/96768], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 647/8294400], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 23/1658880], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [8, 1]], 1/4147200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1290240], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 97/5806080], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 17/221184], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 29/259200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 7/165888], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 11/11059200], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 223/13271040], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1/552960], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 59/7741440], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1105920], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 59/9676800], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 11/829440], [[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2764800], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/663552], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 59/1612800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1/307200], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 503/3456000], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 23/614400], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 2099/2764800], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 37/967680], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 1183/5529600], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 181/2073600], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 11/1075200], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 2867/21504000], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 20453/103219200], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 89/15482880], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 2441/38707200], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 47/19353600], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1/176947200], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2150400], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1/15482880], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 169/3096576], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1321/44236800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 38867/232243200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 157/23224320], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 611/232243200], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 163/309657600], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1081/82575360], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 18707/928972800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1177/371589120], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 869/464486400], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 103/7962624], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/33177600], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 209/185794560], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 1139/232243200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/2580480], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5160960], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 21097/1161216000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 8257/154828800], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 281/19906560], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 1/25804800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 14129/14863564800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 9953/696729600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 29/371589120], [[[1, 3], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/3840], [[[1, 3], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 2]], 1/11760], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 3/12544], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [10, 1]], 1/23520], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [12, 1]], 1/14112], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 7/18432], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [14, 1]], 1/21504], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/15360], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/2048], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 2], [8, 1]], 1/28224], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [7, 1]], 1/50400], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/46080], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/230400], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 1/4608], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [7, 1]], 1/120960], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/27648], [[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [14, 1]], 1/4032], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/172800], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [10, 1]], 1/108000], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [12, 1]], 1/64800], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/13824], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [7, 1]], 1/120960], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [8, 1]], 1/138240], [[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [8, 1]], 1/129600], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/3584], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [16, 1]], 1/10752], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1920], [[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 4], [2, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [4, 3], [8, 1], [12, 1], [14, 1]], 1/10752], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 1], [10, 1]], 1/737280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/9600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 5/16128], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 5/37632], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/82944], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 1/172800], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 11/61440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 17/72000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 1/21600], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 53/110592], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/1344], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 5/4608], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 13/92160], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 19/322560], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 9/16384], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/96768], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 1/207360], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/3072], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [10, 1]], 1/17920], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/10752], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 5/21504], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 199/2211840], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 1/516096], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/258048], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/55296], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/552960], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 25/589824], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 17/73728], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 1/345600], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/30720], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/518400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 7/115200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 13/288000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [12, 1]], 11/172800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/9216], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 1/518400], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 1/4032], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 5/18432], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 23/161280], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 7/12288], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 13/43008], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/10240], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 11/110592], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 7/6912], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 5/55296], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1105920], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 5/110592], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 13/27648], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 1/25200], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 11/345600], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1344], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 1], [10, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/60480], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 11/518400], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 7/41472], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [12, 1]], 1/36288], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/18432], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/28800], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 11/20736], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 1/20736], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/55296], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/11340], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 1/25920], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 1/72576], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 1/129600], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [12, 1]], 1/77760], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 4], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 1/20736], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [8, 1]], 1/155520], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 1/25920], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/96000], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1120], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 23/30720], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/18432], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/18432], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [10, 2]], 31/1382400], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 7/276480], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 1/172800], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [4, 1], [7, 1], [12, 1], [14, 1]], 1/1344], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2048], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 13/92160], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/48000], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [14, 1]], 1/80640], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 1/172800], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/3840], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 17/33600], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/7168], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/22400], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/4032], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/25600], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 7/9216], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/12288], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 4], [2, 3], [4, 2], [6, 3], [10, 1], [12, 1]], 1/103680], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/5120], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/7168], [[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [14, 1]], 1/17920], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/15360], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/38400], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6144], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/1920], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 17/86016], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 23/86016], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 13/322560], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 1/10752], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 11/184320], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 1/20480], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/153600], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 29/737280], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 1/241920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/34560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 79/1105920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/3200], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/172800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 103/1382400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 1/32000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 7/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 91/691200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/48384], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 85/290304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 13/110592], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 43/622080], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10368], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/46080], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 169/737280], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/18432], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 11/138240], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 71/860160], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/69120], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 5489/4423680], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/57600], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 5/16128], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 5/9216], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 379/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 19/41472], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 7/24576], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/8960], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 1/10752], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 239/516096], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 19/552960], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 701/2949120], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 229/921600], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 7/61440], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 5/28672], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 241/774144], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 229/221184], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 251/1658880], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 25/18432], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 107/368640], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 23/110592], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 73/98304], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 17/221184], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 205/221184], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 23/57600], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/241920], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/10080], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 11/57600], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 13/645120], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/67200], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/5040], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 25/16128], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/21600], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 29/72576], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 7/103680], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 29/207360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 73/4838400], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 49/829440], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 7/27648], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/129600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2592], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 61/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 233/248832], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 23/103680], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 25/41472], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 37/774144], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/53760], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [12, 1]], 1/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 1/55296], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 47/276480], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 41/368640], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 17/115200], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 89/387072], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 19/64512], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 925/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 5/18432], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 19/9216], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 31/276480], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 1/13824], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 37/552960], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 5/6912], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 7/9216], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 11/181440], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 5/6912], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/34560], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 11/103680], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 43/622080], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 37/1658880], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/115200], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [12, 1]], 1/207360], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/32256], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/96768], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 37/62208], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 7/51840], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 5/13824], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 53/829440], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 143/663552], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 7/138240], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/5184], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/19200], [[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 1/207360], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/110592], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/103680], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 1/62208], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/18432], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 13/36000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/80640], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/8064], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 11/86400], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 103/645120], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 79/134400], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/15360], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1050], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3200], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 5/4032], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 247/1382400], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 17/49152], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 103/1105920], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 1/10800], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/43008], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 179/774144], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 11/53760], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 131/1658880], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 3/35840], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 247/645120], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/8064], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/32256], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/5040], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 37/276480], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 37/115200], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 23/30720], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1440], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 29/57344], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 347/516096], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 167/368640], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 23/96768], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 361/1105920], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 7/34560], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/9216], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 211/921600], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1687/2764800], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 295/589824], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 67/184320], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 23/184320], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/9600], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 79/967680], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 37/345600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 43/19353600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 23/1382400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 2113/8847360], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 31/172800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 17/387072], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 1339/1290240], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 391/663552], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 16907/24883200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 119/414720], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 109/7741440], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 11/241920], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/16128], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 251/1843200], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 893/14745600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 127/1105920], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 7/1105920], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 221/1720320], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 2909/5160960], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 5179/4423680], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 6509/11059200], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 2413/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 89/552960], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 7/442368], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 293/4423680], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 5669/5898240], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 3823/13271040], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1451/2211840], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/96768], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 367/1382400], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 5/258048], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/53760], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 809/7741440], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 229/362880], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 2729/16588800], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 49/414720], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 23/2073600], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 163/11612160], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 283/3870720], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 2357/3317760], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 3973/8294400], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 77/165888], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 19/1658880], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 523/11059200], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 3173/13271040], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 139/1105920], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 197/1105920], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 7/552960], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 23/460800], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/20736], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 253/24883200], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 103/3981312], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 11/829440], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1/165888], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/129024], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 27/179200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 11/307200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 541/1152000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 157/614400], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 7/69120], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 25/1032192], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 4777/15482880], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 5813/6451200], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 3/35840], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 1183/3686400], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 301/2073600], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1669/11059200], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 203/288000], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 27829/44236800], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 77/1105920], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 191/921600], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 7/69120], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 109/3870720], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 167/176947200], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 59/6451200], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 13/7741440], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 9377/36126720], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 9389/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 46411/77414400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 151/2322432], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 1591/92897280], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 3257/154828800], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 9811/61931520], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 6857/34406400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 131/1935360], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/737280], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 31/1105920], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 24557/464486400], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 11/8294400], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 103/4423680], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 6991/232243200], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 59/7741440], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 31/6451200], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 6277/43008000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 50789/309657600], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 11467/232243200], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 17/17203200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 23659/2123366400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 17551/199065600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 71/53084160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/5376], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 53/368640], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 7/230400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 31/144000], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/36864], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 2]], 1/691200], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 1/1792], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 5/9216], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 23/967680], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 11/36864], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 77/1105920], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/516096], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 1/110592], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/294912], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 7/221184], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/2304], [[[1, 5], [2, 2], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/12800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 13/288000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 13/172800], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/4032], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 5/18432], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 3/17920], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/691200], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/8064], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 5/16128], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/16128], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 5/48384], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/64512], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/96768], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 5/13824], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/25200], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 13/345600], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/4032], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 19/120960], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 13/82944], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 11/96768], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/30240], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/18144], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/13824], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/20736], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/48384], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 5/20736], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 1/69120], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 1/41472], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/207360], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/4536], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/8640], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/36288], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/69120], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 1/64800], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 1/38880], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/103680], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/20736], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [8, 1]], 1/77760], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/25920], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 29/61440], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 2]], 1/129024], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [14, 1]], 1/129024], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 1/1382400], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 1/276480], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 5], [2, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2304], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 3/20480], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/15360], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 11/107520], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 31/67200], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 3/35840], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 1/16128], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/9216], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 13/368640], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [10, 1]], 1/107520], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/64512], [[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [14, 1]], 1/35840], [[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 7/51200], [[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/20480], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/153600], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 7/368640], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/103680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 103/1105920], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/3200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/129600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 247/1382400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 13/36000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 1/10800], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 7/27648], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 49/829440], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/96768], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/110592], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/207360], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 1/62208], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 5/4032], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/76800], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 17/49152], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/18432], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 7/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 167/368640], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 5489/4423680], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/69120], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 19/64512], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 89/387072], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 143/663552], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 53/829440], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/5184], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 347/516096], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 23/96768], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 29/57344], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 295/589824], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1687/2764800], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 23/184320], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 241/774144], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 5/28672], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 5/6912], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 37/552960], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 7/9216], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 211/921600], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 67/184320], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 17/221184], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 73/98304], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 205/221184], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/3840], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/19200], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 79/967680], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/9600], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/5040], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/21600], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 23/57600], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 25/16128], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/115200], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 11/181440], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 7/51840], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 11/53760], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 91/691200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 7/13824], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/172800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 61/96768], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2592], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 37/62208], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 43/622080], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 5/13824], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 179/774144], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 1/12096], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/43008], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/80640], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 5/18432], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 361/1105920], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 37/115200], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 7/34560], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 5/9216], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 5/16128], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 925/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 47/276480], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 19/9216], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 37/276480], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 251/1658880], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 229/221184], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 19/552960], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 25/18432], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 29/72576], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 11/103680], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 5/6912], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/241920], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 23/103680], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 131/1658880], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 11/86400], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 1/17280], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 85/290304], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/48384], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 233/248832], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 29/207360], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 25/41472], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/5760], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 379/663552], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 11/138240], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 19/41472], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 7/103680], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 11/57600], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 43/622080], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 13/110592], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10368], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/18432], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/32000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/53760], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/115200], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 247/645120], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1050], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/8064], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 3/35840], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 79/134400], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/46080], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3200], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1152], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 103/1382400], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 169/737280], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 79/1105920], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/55296], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 37/774144], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 73/4838400], [[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 1/96768], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 37/1658880], [[[1, 5], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 1/207360], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 103/645120], [[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/8960], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 31/276480], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 17/115200], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 23/30720], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1440], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 239/516096], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 7/24576], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 71/860160], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 1/10752], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 41/368640], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/9216], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 107/368640], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 229/921600], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 701/2949120], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 23/110592], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 7/61440], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/67200], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 13/645120], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 7/41472], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 419/6451200], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 19/207360], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 157/327680], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 157/829440], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 211/774144], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 265/331776], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 2281/3981312], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 2083/4976640], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 25/82944], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 43/387072], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 43/645120], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 1/55296], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 235/1548288], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 31/387072], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 2009/5529600], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 2473/8847360], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 4379/5529600], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 107/1105920], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1949/3096576], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 3881/3870720], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 29167/13271040], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 991/1382400], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1423/1105920], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 37/81920], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1/16384], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 781/2211840], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 1069/442368], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 377/737280], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 323/221184], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 23/193536], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 13/276480], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 671/1382400], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 37/516096], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 97/774144], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 247/580608], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 259/1658880], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 257/552960], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 11/122880], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 161/1382400], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 13/829440], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 883/3870720], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 85/290304], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 1037/552960], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 101/138240], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 25/20736], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 17/276480], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 71/245760], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 9727/6635520], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 403/1105920], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 2827/3317760], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 223/3317760], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 17/55296], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/13824], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 853/8294400], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 179/995328], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 79/829440], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 5/55296], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 23/483840], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 17/92160], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 23/276480], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 25/55296], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 47/73728], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 425/3096576], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 4427/15482880], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 233/552960], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 1/14336], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 2719/11059200], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 77/829440], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 4843/11059200], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 581/460800], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 10111/14745600], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 121/1105920], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 133/552960], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 5689/33177600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 5479/265420800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1049/11059200], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 1/2211840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 107/1720320], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 27929/46448640], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 213/327680], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 33427/33177600], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 793/3317760], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1213/16588800], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 54959/309657600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 183611/185794560], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 44017/61931520], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 3755/9289728], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 7/491520], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 2783/12902400], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 7033/66355200], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 29/737280], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 1469/9289728], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 2563/16588800], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 103/1658880], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1069/22118400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 28099/55296000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 182257/619315200], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 2723/33177600], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 31177/1857945600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 213097/2972712960], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 17203/58060800], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 6949/557383680], [[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/28800], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/112896], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/73728], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/230400], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 11/92160], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/193536], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 1/49152], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [14, 1]], 1/86016], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/589824], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/221184], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/16128], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 7/153600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 1/96000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/18432], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/32256], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/36864], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 5/129024], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/184320], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/80640], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 17/120960], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/518400], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/12096], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/36288], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/55296], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/13824], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 1/72576], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/51840], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 1/129600], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 1/77760], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 1/155520], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/6720], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/12288], [[[1, 6], [2, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/16128], [[[1, 6], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/61440], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/368640], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 11/245760], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 1/518400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 47/230400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 17/48000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 5/110592], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 41/4147200], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 5/8064], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 35/147456], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/61440], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/138240], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1319/2580480], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 211/491520], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/230400], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 7/27648], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/129024], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/387072], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 1/829440], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 1/82944], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 223/430080], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 9/89600], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 3/17920], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 19/258048], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/107520], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 109/327680], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 233/552960], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/36864], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 23/110592], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/14336], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 35/221184], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 1/6144], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 49/614400], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 131/552960], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 37/2211840], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 31/110592], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/184320], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 341/1105920], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 1/12800], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 23/725760], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 103/967680], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 23/201600], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/17280], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 29/115200], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 17/32256], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/193536], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 1/414720], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/23040], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 323/483840], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 79/691200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 383/1105920], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 7/20736], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/12096], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 5/165888], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 1/41472], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 11/32256], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 11/80640], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 1/8064], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/129024], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 7/46080], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2880], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 9/32000], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 31/172800], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 67/193536], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/32256], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 305/663552], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 55/82944], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 19/460800], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 7/138240], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 181/1658880], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 55/110592], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1/552960], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 23/27648], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 31/40320], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 7/103680], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 17/69120], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 107/622080], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 19/138240], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 77/518400], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/9720], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 5/9072], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/96768], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 25/62208], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/20736], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 11/41472], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 7/51840], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 313/663552], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/27648], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/2592], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 5/62208], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 29/172800], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 47/311040], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 55/331776], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10368], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/55296], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/241920], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2688], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 31/67200], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/8064], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/35840], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 7/691200], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/115200], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 19/245760], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 13/737280], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/387072], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/387072], [[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1612800], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/107520], [[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/61440], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 7/28800], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 29/1290240], [[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [14, 1]], 1/614400], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 11/691200], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 49/368640], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 11/184320], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 31/589824], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/61440], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/645120], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 79/829440], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 233/552960], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 157/829440], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 157/327680], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 19/207360], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 85/290304], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 883/3870720], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 179/995328], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 853/8294400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 5/55296], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 4427/15482880], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 17/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 1/14336], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 425/3096576], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 23/483840], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 403/1105920], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 10111/14745600], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 581/460800], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 133/552960], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 3881/3870720], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1949/3096576], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 9727/6635520], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 71/245760], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 2827/3317760], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 4843/11059200], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 121/1105920], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 377/737280], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 1069/442368], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 781/2211840], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 323/221184], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 247/580608], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/13824], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 17/55296], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/7680], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 97/774144], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 37/516096], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 23/193536], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 223/3317760], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 101/138240], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 2719/11059200], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 25/55296], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 77/829440], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 265/331776], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 211/774144], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 1037/552960], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 257/552960], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 25/20736], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 23/276480], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 991/1382400], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 29167/13271040], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 2009/5529600], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1423/1105920], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 259/1658880], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 671/1382400], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 13/276480], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 2083/4976640], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 2281/3981312], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 7/41472], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 25/82944], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 31/387072], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 43/645120], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 17/276480], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 161/1382400], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 47/73728], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5760], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 235/1548288], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 43/387072], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 419/6451200], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 1/55296], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 11/122880], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 13/829440], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 37/81920], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 4379/5529600], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 2473/8847360], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 1/16384], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 107/1105920], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 12371/33177600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 23/207360], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 1003/2211840], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 7/442368], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 17401/46448640], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 10933/15482880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 11903/13271040], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 25831/33177600], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 547/1658880], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 397/2654208], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 9947/14745600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 126479/53084160], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 15451/14745600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 23447/26542080], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 83/1474560], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 6059/11059200], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 287/2654208], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 2849/11059200], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 4931/8847360], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 197/552960], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 677/3317760], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 497/3686400], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 8257/11059200], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 23569/88473600], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 401/6635520], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 213007/1857945600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 22723/82575360], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 547573/928972800], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 4933/92897280], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/147456], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 3/25600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 1/36000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/21600], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/221184], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 11/80640], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 43/737280], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 43/286720], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/691200], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 41/884736], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 61/516096], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 11/806400], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 11/483840], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 5/516096], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 61/2949120], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/774144], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/442368], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/122880], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/122880], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 5/110592], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 1/737280], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 7/138240], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/115200], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/145152], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 11/215040], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/43200], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/32256], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/193536], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 109/179200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 47/1382400], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 29/552960], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/96768], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 121/645120], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/28800], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 11/276480], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 239/1843200], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 31/288000], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 1/28800], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 13/387072], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/129024], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/36864], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 1/276480], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/20736], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/307200], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/184320], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/331776], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 11/138240], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 13/24192], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/82944], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 43/967680], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/207360], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 31/276480], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 23/648000], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 23/388800], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 85/290304], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 5/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 23/829440], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 71/663552], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/9216], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 229/6220800], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 11/124416], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 7/110592], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 1/103680], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 1/62208], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/552960], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 5/32256], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/24192], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/691200], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 59/5160960], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/737280], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/460800], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/276480], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/23040], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/860160], [[[1, 7], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/12902400], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1843200], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 31/14745600], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/48384], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 11/829440], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 5813/6451200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 31/172800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 2113/8847360], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 23/1382400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 283/3870720], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 163/11612160], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 103/3981312], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 253/24883200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 1/165888], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 4777/15482880], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 27/179200], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 3/35840], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 25/1032192], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/129024], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 139/1105920], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 27829/44236800], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 203/288000], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 191/921600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 2909/5160960], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 221/1720320], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 3173/13271040], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 523/11059200], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 197/1105920], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1669/11059200], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 77/1105920], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 3823/13271040], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 5669/5898240], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 293/4423680], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1451/2211840], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 229/362880], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/53760], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/20736], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 23/460800], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 7/69120], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 809/7741440], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 5/258048], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/96768], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 7/552960], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 3973/8294400], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 1183/3686400], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 541/1152000], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 301/2073600], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 1339/1290240], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 17/387072], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 2357/3317760], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 49/414720], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 77/165888], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 11/307200], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 6509/11059200], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 5179/4423680], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 251/1843200], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 2413/3317760], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 2729/16588800], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 367/1382400], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 16907/24883200], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 391/663552], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 37/345600], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 119/414720], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/16128], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 19/1658880], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 157/614400], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 7/69120], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 11/241920], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 109/7741440], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 43/19353600], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 23/2073600], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 89/552960], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 127/1105920], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 893/14745600], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 7/442368], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 7/1105920], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 197/552960], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 23569/88473600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 8257/11059200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 401/6635520], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 10933/15482880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 17401/46448640], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 4931/8847360], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 2849/11059200], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 677/3317760], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 497/3686400], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 15451/14745600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 126479/53084160], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 9947/14745600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 23447/26542080], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 287/2654208], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 6059/11059200], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 83/1474560], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 25831/33177600], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 11903/13271040], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 12371/33177600], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 547/1658880], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 397/2654208], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1003/2211840], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 23/207360], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 7/442368], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 8371/22118400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 806093/1486356480], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 42973/66355200], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 881/8847360], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/64512], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 13/460800], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/288000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/172800], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 1/80640], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/245760], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 31/2580480], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/294912], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 11/1290240], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/983040], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/129024], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/345600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 211/1612800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/460800], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/28672], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/268800], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/161280], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/76800], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/387072], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/147456], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/138240], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 13/120960], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/322560], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 299/8294400], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 29/5184000], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 29/3110400], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/290304], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/276480], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 29/6220800], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/622080], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/165888], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 17/645120], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/403200], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/241920], [[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1720320], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/14745600], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/483840], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 2099/2764800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 109/1382400], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1051/20643840], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 97/5806080], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1290240], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/663552], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2764800], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1/6720], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 59/1612800], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 37/967680], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/516096], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/552960], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 20453/103219200], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 2867/21504000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 2441/38707200], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1067/15482880], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 11/5160960], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 223/13271040], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 11/11059200], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 59/7741440], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 11/1075200], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 89/15482880], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 187/2654208], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1909/17694720], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 29/4423680], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 5/49152], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 41/96768], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 11/829440], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 59/9676800], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/69120], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 149/3870720], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/161280], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/516096], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1105920], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 29/259200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 1183/5529600], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 503/3456000], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 181/2073600], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 673/1290240], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 5/774144], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 17/221184], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 23/1658880], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 7/165888], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/307200], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 463/3686400], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1037/4423680], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 37/2764800], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 437/3317760], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 647/8294400], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 7/153600], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 10919/24883200], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 259/1327104], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 31/1382400], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 61/829440], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 53/1935360], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 23/614400], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1009/108380160], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1935360], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/19353600], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/4147200], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/147456], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 131/44236800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 2563/16588800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 182257/619315200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 28099/55296000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 2723/33177600], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 27929/46448640], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 107/1720320], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 1469/9289728], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 29/737280], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 103/1658880], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 1069/22118400], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 44017/61931520], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 183611/185794560], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 54959/309657600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 3755/9289728], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 7033/66355200], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 2783/12902400], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 7/491520], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 33427/33177600], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 213/327680], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 5689/33177600], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 793/3317760], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1213/16588800], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1049/11059200], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 5479/265420800], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2211840], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 42973/66355200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 806093/1486356480], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 8371/22118400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 881/8847360], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 2167/9031680], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/69120], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 17/4128768], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/774144], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 191/6021120], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 89/22579200], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 89/13547520], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 3623/103219200], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 263/21504000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 229/38707200], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 79/15482880], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/10321920], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1474560], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 1/22118400], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2580480], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 1/5160960], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/3096576], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/3317760], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 101/35389440], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 29/15482880], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 13/107520], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/829440], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/3225600], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 283/54190080], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/331776], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 113/1612800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 607/48384000], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 607/29030400], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 53/774144], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/331776], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 133/11059200], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 41/2211840], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 11/1105920], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1739/116121600], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/460800], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 2141/24883200], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 41/1658880], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 1/460800], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1/276480], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/368640], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 71/108380160], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 6991/232243200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 50789/309657600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 6277/43008000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 11467/232243200], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 9377/36126720], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 13/7741440], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 103/4423680], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 11/8294400], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 59/7741440], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 31/6451200], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 6857/34406400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 9811/61931520], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 3257/154828800], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 131/1935360], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 24557/464486400], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 31/1105920], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/737280], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 46411/77414400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 9389/46448640], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 109/3870720], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 151/2322432], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1591/92897280], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 59/6451200], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 167/176947200], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 547573/928972800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 22723/82575360], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 213007/1857945600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 4933/92897280], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 1049/45158400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1382400], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 23/7225344], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/4515840], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/2709504], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 229/103219200], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/6193152], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/11796480], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/15482880], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 11/967680], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/5419008], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 809/77414400], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 47/48384000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 47/29030400], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1290240], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/1474560], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 47/58060800], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 29/24883200], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 1/737280], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 1139/232243200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 8257/154828800], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 21097/1161216000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 281/19906560], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 169/3096576], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/15482880], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 209/185794560], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/33177600], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/2580480], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/5160960], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 18707/928972800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1081/82575360], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 163/309657600], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1177/371589120], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 103/7962624], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 869/464486400], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 38867/232243200], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1321/44236800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 47/19353600], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 157/23224320], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 611/232243200], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2150400], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/176947200], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 17203/58060800], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 213097/2972712960], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 31177/1857945600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 6949/557383680], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/3317760], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 11411/1238630400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 1283/1161216000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 1283/696729600], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 11/2580480], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 641/464486400], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 37/82575360], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 29/371589120], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1913/1393459200], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/92897280], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 481/29030400], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 101/44236800], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/7741440], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 1/4644864], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 71/464486400], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 17551/199065600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 23659/2123366400], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 17/17203200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 71/53084160], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 3071/3715891200], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 61/1161216000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 61/696729600], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/21676032], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/26542080], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 61/1393459200], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 47/232243200], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/12386304], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 9953/696729600], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 14129/14863564800], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 1/25804800], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 29/371589120], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1067/1114767360], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 23/550502400], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/928972800], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 1/557383680], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 61/5573836800], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1486356480], [[[2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/64512], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1], [16, 1]], 1/1344], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/9216], [[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [16, 1]], 1/1344], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/4608], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/2688], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/30240], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/8064], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/15120], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/36864], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/184320], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/276480], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/48384], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/64512], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/24192], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/172800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/258048], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/193536], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/110592], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/19353600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [14, 1], [16, 1]], 1/1344], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/9216], [[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [16, 1]], 1/1344], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/172800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/13440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/33600], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 11/9216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/2688], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/2520], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/30240], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/34560], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/17280], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608], [[[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], [16, 1]], 1/2560], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/15120], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/33600], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/28800], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10752], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/3600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/7200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/322560], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/172800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 17/36864], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/13824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 23/207360], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/25920], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/3840], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/25600], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/7168], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 53/129024], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1792], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 53/276480], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 5/9216], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/276480], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/36864], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/34560], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 23/241920], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/21600], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 23/201600], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/40320], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 23/120960], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/12800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 71/967680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/107520], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/96768], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 29/230400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/41472], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/1105920], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/38400], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 161/1105920], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 41/442368], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 13/92160], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/552960], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19/6451200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1489/77414400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/414720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/172800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/10752], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 11/9216], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/2688], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/2520], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/34560], [[[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], [7, 1], [10, 1]], 1/25200], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/15120], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/30240], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2520], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/2560], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/33600], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/28800], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/92160], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 7/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 31/322560], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 11/8064], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 25/18432], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 23/276480], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 7/13824], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 23/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 5/41472], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/12960], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 7/19200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 29/76800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 7/46080], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 55/129024], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1792], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/7168], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1008], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 13/46080], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 25/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 13/34560], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/46080], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2560], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 31/184320], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 37/36864], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/1536], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/13440], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/25920], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 11/17280], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 17/96768], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 53/96768], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 31/276480], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/86400], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 13/27648], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/41472], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 7/86400], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/25920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 3/22400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/4800], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/26880], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/5760], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 83/230400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 23/138240], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/967680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 31/276480], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 47/86400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 31/193536], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/17920], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/10752], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 2269/3870720], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 37/96768], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 13/48384], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1703/2764800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/3240], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 19/138240], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 19/38400], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 13/92160], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 3/5120], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 275/442368], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 187/276480], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/61440], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 19/414720], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 29/345600], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/69120], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 119/829440], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3072], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 5/221184], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 43/691200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 16021/77414400], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/442368], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 67/829440], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/2688], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/25200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/15120], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/30240], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 23/276480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/120960], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 7/86400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/26880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 3/22400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/43200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 11/8064], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/57600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 25/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/92160], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 53/96768], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 17/96768], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/41472], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/25920], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/86400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 83/230400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 23/138240], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/7168], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1008], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 55/129024], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 31/276480], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 13/27648], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 31/184320], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/46080], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 37/36864], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/2560], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2240], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 23/120960], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/41472], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 11/17280], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 7/13824], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/25920], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 13/46080], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 7/19200], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 13/34560], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/138240], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 25/27648], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 5/41472], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 7/43200], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/12960], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/20160], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/22400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/28800], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 31/322560], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 29/76800], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 7/46080], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 209/967680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 11/80640], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/18432], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 43/34560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 71/230400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 673/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1792], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 17/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/23040], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 5/6912], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1440], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3072], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2592], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 79/122880], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 113/76800], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 19/27648], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1069/1105920], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 67/49152], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 151/138240], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/184320], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 397/1658880], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 37/43200], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 341/829440], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 133/230400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 443/2211840], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 247/345600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 11/92160], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 541/691200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/49152], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 341/829440], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/55296], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 19/40320], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 23/201600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 23/120960], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 17/36864], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/21600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 53/129024], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1792], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/7168], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/276480], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/36864], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 23/241920], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/8064], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/13824], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 53/276480], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3840], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 5/9216], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/34560], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 23/207360], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/25920], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/322560], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/25600], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/23040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 341/829440], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 37/43200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 133/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 17/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 11/80640], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 5/6912], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 673/774144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 209/967680], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1792], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 397/1658880], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1069/1105920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 113/76800], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 151/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 79/122880], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 67/49152], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 19/27648], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/184320], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1440], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 43/34560], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2592], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/18432], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3072], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 71/230400], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 4693/6635520], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 929/460800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 29/69120], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 233/207360], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/147456], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 89/138240], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/64512], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/24192], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/14400], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/36864], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/276480], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/184320], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/48384], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 37/96768], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/17920], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 119/829440], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 29/345600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3072], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 2269/3870720], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 13/48384], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 31/193536], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/967680], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/10752], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 19/414720], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 3/5120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 19/38400], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 187/276480], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 19/138240], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 275/442368], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 13/92160], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/61440], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1703/2764800], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 47/86400], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3240], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 31/276480], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 233/207360], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 929/460800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 89/138240], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 4693/6635520], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/147456], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 29/69120], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/107520], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 71/967680], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/161280], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/96768], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/258048], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/552960], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 161/1105920], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/38400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 13/92160], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/1105920], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 41/442368], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/552960], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 29/230400], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/12800], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/41472], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 541/691200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 247/345600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 341/829440], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 443/2211840], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/49152], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 11/92160], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/193536], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/110592], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/172800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 16021/77414400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 43/691200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 67/829440], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 5/221184], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/442368], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1489/77414400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19/6451200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/414720], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1105920], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/19353600], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/34560], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/34560], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560] ]}