{[ [[[1, 25]], 1/137594142720000], [[[2, 25]], 1/137594142720000], [[[1, 1], [2, 24]], 23/45864714240000], [[[1, 2], [2, 23]], 341/22932357120000], [[[1, 3], [2, 22]], 17197/68797071360000], [[[1, 4], [2, 21]], 182533/68797071360000], [[[1, 5], [2, 20]], 258791/13759414272000], [[[1, 6], [2, 19]], 1267783/13759414272000], [[[1, 7], [2, 18]], 175469/550376570880], [[[1, 8], [2, 17]], 21755611/27518828544000], [[[1, 9], [2, 16]], 291617/203843174400], [[[1, 9], [5, 4]], 1/120000], [[[1, 10], [2, 15]], 7573/3822059520], [[[1, 11], [2, 14]], 443081/191102976000], [[[1, 11], [3, 7]], 329/134369280], [[[1, 12], [2, 13]], 79573/31850496000], [[[1, 13], [2, 12]], 79573/31850496000], [[[1, 13], [3, 6]], 1529/10749542400], [[[1, 13], [5, 3]], 1/5120000], [[[1, 14], [2, 11]], 443081/191102976000], [[[1, 15], [2, 10]], 7573/3822059520], [[[1, 15], [3, 5]], 83/716636160], [[[1, 16], [2, 9]], 291617/203843174400], [[[1, 17], [2, 8]], 21755611/27518828544000], [[[1, 17], [3, 4]], 3803/85996339200], [[[1, 17], [5, 2]], 11/6635520000], [[[1, 18], [2, 7]], 175469/550376570880], [[[1, 19], [2, 6]], 1267783/13759414272000], [[[1, 19], [3, 3]], 73/21499084800], [[[1, 20], [2, 5]], 258791/13759414272000], [[[1, 21], [2, 4]], 182533/68797071360000], [[[1, 21], [3, 2]], 121/1146617856000], [[[1, 21], [4, 2]], 1/2293235712000], [[[1, 21], [5, 1]], 17/2866544640000], [[[1, 22], [2, 3]], 17197/68797071360000], [[[1, 23], [2, 2]], 341/22932357120000], [[[1, 23], [3, 1]], 1/687970713600], [[[1, 24], [2, 1]], 23/45864714240000], [[[2, 9], [10, 4]], 1/120000], [[[2, 11], [6, 7]], 329/134369280], [[[2, 13], [6, 6]], 1529/10749542400], [[[2, 13], [10, 3]], 1/5120000], [[[2, 15], [6, 5]], 83/716636160], [[[2, 17], [6, 4]], 3803/85996339200], [[[2, 17], [10, 2]], 11/6635520000], [[[2, 19], [6, 3]], 73/21499084800], [[[2, 21], [4, 2]], 1/2293235712000], [[[2, 21], [6, 2]], 121/1146617856000], [[[2, 21], [10, 1]], 17/2866544640000], [[[2, 23], [6, 1]], 1/687970713600], [[[1, 1], [2, 8], [10, 4]], 1/30000], [[[1, 1], [2, 10], [6, 7]], 167/22394880], [[[1, 1], [2, 12], [6, 6]], 1477/895795200], [[[1, 1], [2, 12], [10, 3]], 11/2880000], [[[1, 1], [2, 14], [6, 5]], 343/238878720], [[[1, 1], [2, 16], [6, 4]], 21079/28665446400], [[[1, 1], [2, 16], [10, 2]], 389/6635520000], [[[1, 1], [2, 18], [4, 3]], 1/8493465600], [[[1, 1], [2, 18], [6, 3]], 689/7166361600], [[[1, 1], [2, 20], [4, 2]], 49/2293235712000], [[[1, 1], [2, 20], [6, 2]], 829/191102976000], [[[1, 1], [2, 20], [8, 1]], 1/573308928000], [[[1, 1], [2, 20], [10, 1]], 439/1433272320000], [[[1, 1], [2, 22], [4, 1]], 19/4586471424000], [[[1, 1], [2, 22], [6, 1]], 91/1146617856000], [[[1, 2], [2, 7], [10, 4]], 1/20000], [[[1, 2], [2, 9], [6, 7]], 349/44789760], [[[1, 2], [2, 11], [6, 6]], 1159/179159040], [[[1, 2], [2, 11], [10, 3]], 29/1280000], [[[1, 2], [2, 13], [6, 5]], 37/4976640], [[[1, 2], [2, 15], [4, 4]], 1/94371840], [[[1, 2], [2, 15], [6, 4]], 149401/28665446400], [[[1, 2], [2, 15], [10, 2]], 193/245760000], [[[1, 2], [2, 17], [4, 3]], 7/1698693120], [[[1, 2], [2, 17], [6, 3]], 953/895795200], [[[1, 2], [2, 19], [4, 2]], 917/764411904000], [[[1, 2], [2, 19], [6, 2]], 9199/127401984000], [[[1, 2], [2, 19], [8, 1]], 49/573308928000], [[[1, 2], [2, 19], [10, 1]], 6229/955514880000], [[[1, 2], [2, 21], [3, 1]], 1/859963392000], [[[1, 2], [2, 21], [4, 1]], 989/4586471424000], [[[1, 2], [2, 21], [6, 1]], 2083/1146617856000], [[[1, 3], [2, 6], [10, 4]], 1/30000], [[[1, 3], [2, 8], [4, 7]], 1/393216], [[[1, 3], [2, 8], [6, 7]], 53/16796160], [[[1, 3], [2, 10], [6, 6]], 3061/268738560], [[[1, 3], [2, 10], [10, 3]], 347/5760000], [[[1, 3], [2, 12], [4, 5]], 157/424673280], [[[1, 3], [2, 12], [6, 5]], 1889/89579520], [[[1, 3], [2, 14], [4, 4]], 7/31457280], [[[1, 3], [2, 14], [6, 4]], 1776817/85996339200], [[[1, 3], [2, 14], [10, 2]], 34289/6635520000], [[[1, 3], [2, 16], [4, 3]], 97/849346560], [[[1, 3], [2, 16], [6, 3]], 136553/21499084800], [[[1, 3], [2, 18], [4, 2]], 75379/2293235712000], [[[1, 3], [2, 18], [6, 2]], 185081/286654464000], [[[1, 3], [2, 18], [8, 1]], 83/47775744000], [[[1, 3], [2, 18], [10, 1]], 53657/716636160000], [[[1, 3], [2, 20], [3, 1]], 49/859963392000], [[[1, 3], [2, 20], [4, 1]], 12817/2751882854400], [[[1, 3], [2, 20], [6, 1]], 79021/3439853568000], [[[1, 4], [2, 5], [10, 4]], 1/120000], [[[1, 4], [2, 7], [4, 7]], 1/131072], [[[1, 4], [2, 7], [6, 7]], 5/8957952], [[[1, 4], [2, 9], [4, 6]], 107/4423680], [[[1, 4], [2, 9], [6, 6]], 11479/1074954240], [[[1, 4], [2, 9], [10, 3]], 1937/23040000], [[[1, 4], [2, 11], [4, 5]], 1451/424673280], [[[1, 4], [2, 11], [6, 5]], 12949/358318080], [[[1, 4], [2, 13], [4, 4]], 1487/424673280], [[[1, 4], [2, 13], [6, 4]], 726223/14332723200], [[[1, 4], [2, 13], [10, 2]], 62653/3317760000], [[[1, 4], [2, 15], [4, 3]], 1411/849346560], [[[1, 4], [2, 15], [6, 3]], 498737/21499084800], [[[1, 4], [2, 17], [4, 2]], 992161/2293235712000], [[[1, 4], [2, 17], [6, 2]], 4025761/1146617856000], [[[1, 4], [2, 17], [8, 1]], 1373/71663616000], [[[1, 4], [2, 17], [10, 1]], 1476377/2866544640000], [[[1, 4], [2, 19], [3, 1]], 83/71663616000], [[[1, 4], [2, 19], [4, 1]], 150799/2751882854400], [[[1, 4], [2, 19], [6, 1]], 7609/42467328000], [[[1, 5], [2, 4], [5, 4]], 1/120000], [[[1, 5], [2, 6], [3, 7]], 1/26873856], [[[1, 5], [2, 6], [4, 7]], 1/98304], [[[1, 5], [2, 6], [6, 7]], 1/4478976], [[[1, 5], [2, 8], [3, 6]], 1/429981696], [[[1, 5], [2, 8], [4, 6]], 743/8847360], [[[1, 5], [2, 8], [5, 3]], 1/9216000], [[[1, 5], [2, 8], [6, 6]], 3311/537477120], [[[1, 5], [2, 8], [10, 3]], 37/576000], [[[1, 5], [2, 10], [4, 5]], 17627/212336640], [[[1, 5], [2, 10], [6, 5]], 2771/71663616], [[[1, 5], [2, 12], [4, 4]], 10093/424673280], [[[1, 5], [2, 12], [6, 4]], 230213/2866544640], [[[1, 5], [2, 12], [10, 2]], 9061/221184000], [[[1, 5], [2, 14], [4, 3]], 1081/94371840], [[[1, 5], [2, 14], [6, 3]], 591853/10749542400], [[[1, 5], [2, 16], [4, 2]], 156029/50960793600], [[[1, 5], [2, 16], [6, 2]], 1422841/114661785600], [[[1, 5], [2, 16], [8, 1]], 72721/573308928000], [[[1, 5], [2, 16], [10, 1]], 23867/10616832000], [[[1, 5], [2, 18], [3, 1]], 1373/107495424000], [[[1, 5], [2, 18], [4, 1]], 23909/61152952320], [[[1, 5], [2, 18], [6, 1]], 350269/382205952000], [[[1, 6], [2, 3], [5, 4]], 1/30000], [[[1, 6], [2, 5], [3, 7]], 1/4478976], [[[1, 6], [2, 5], [4, 7]], 1/98304], [[[1, 6], [2, 5], [6, 7]], 1/26873856], [[[1, 6], [2, 7], [3, 6]], 5/13436928], [[[1, 6], [2, 7], [4, 6]], 1159/8847360], [[[1, 6], [2, 7], [5, 3]], 1/230400], [[[1, 6], [2, 7], [6, 6]], 245/107495424], [[[1, 6], [2, 7], [10, 3]], 59/2304000], [[[1, 6], [2, 9], [3, 5]], 1/15925248], [[[1, 6], [2, 9], [4, 5]], 6941/23592960], [[[1, 6], [2, 9], [6, 5]], 571/22394880], [[[1, 6], [2, 11], [3, 4]], 1/382205952], [[[1, 6], [2, 11], [4, 4]], 133919/849346560], [[[1, 6], [2, 11], [5, 2]], 1/29491200], [[[1, 6], [2, 11], [6, 4]], 715361/8599633920], [[[1, 6], [2, 11], [10, 2]], 449/8192000], [[[1, 6], [2, 13], [4, 3]], 67001/1415577600], [[[1, 6], [2, 13], [6, 3]], 117379/1343692800], [[[1, 6], [2, 15], [4, 2]], 41273/3185049600], [[[1, 6], [2, 15], [6, 2]], 6784811/229323571200], [[[1, 6], [2, 15], [8, 1]], 6769/12740198400], [[[1, 6], [2, 15], [10, 1]], 410731/63700992000], [[[1, 6], [2, 17], [3, 1]], 72721/859963392000], [[[1, 6], [2, 17], [4, 1]], 24738347/13759414272000], [[[1, 6], [2, 17], [6, 1]], 10977917/3439853568000], [[[1, 7], [2, 2], [5, 4]], 1/20000], [[[1, 7], [2, 4], [3, 7]], 5/8957952], [[[1, 7], [2, 4], [4, 7]], 1/131072], [[[1, 7], [2, 6], [3, 6]], 245/107495424], [[[1, 7], [2, 6], [4, 6]], 1159/8847360], [[[1, 7], [2, 6], [5, 3]], 59/2304000], [[[1, 7], [2, 6], [6, 6]], 5/13436928], [[[1, 7], [2, 6], [10, 3]], 1/230400], [[[1, 7], [2, 8], [3, 5]], 247/143327232], [[[1, 7], [2, 8], [4, 5]], 2879/5898240], [[[1, 7], [2, 8], [6, 5]], 173/17915904], [[[1, 7], [2, 10], [3, 4]], 139/382205952], [[[1, 7], [2, 10], [4, 4]], 2075287/4246732800], [[[1, 7], [2, 10], [5, 2]], 3/3276800], [[[1, 7], [2, 10], [6, 4]], 31685/573308928], [[[1, 7], [2, 10], [10, 2]], 2021/44236800], [[[1, 7], [2, 12], [3, 3]], 1/31850496], [[[1, 7], [2, 12], [4, 3]], 225311/1415577600], [[[1, 7], [2, 12], [6, 3]], 200387/2149908480], [[[1, 7], [2, 14], [3, 2]], 19/8493465600], [[[1, 7], [2, 14], [4, 2]], 234701/6370099200], [[[1, 7], [2, 14], [5, 1]], 19/2359296000], [[[1, 7], [2, 14], [6, 2]], 277967/5733089280], [[[1, 7], [2, 14], [8, 1]], 18643/12740198400], [[[1, 7], [2, 14], [10, 1]], 6589/530841600], [[[1, 7], [2, 16], [3, 1]], 6769/19110297600], [[[1, 7], [2, 16], [4, 1]], 38240731/6879707136000], [[[1, 7], [2, 16], [6, 1]], 1775071/229323571200], [[[1, 7], [3, 3], [9, 2]], 1/10368], [[[1, 8], [2, 1], [5, 4]], 1/30000], [[[1, 8], [2, 3], [3, 7]], 53/16796160], [[[1, 8], [2, 3], [4, 7]], 1/393216], [[[1, 8], [2, 5], [3, 6]], 3311/537477120], [[[1, 8], [2, 5], [4, 6]], 743/8847360], [[[1, 8], [2, 5], [5, 3]], 37/576000], [[[1, 8], [2, 5], [6, 6]], 1/429981696], [[[1, 8], [2, 5], [10, 3]], 1/9216000], [[[1, 8], [2, 7], [3, 5]], 173/17915904], [[[1, 8], [2, 7], [4, 5]], 2879/5898240], [[[1, 8], [2, 7], [6, 5]], 247/143327232], [[[1, 8], [2, 9], [3, 4]], 599/127401984], [[[1, 8], [2, 9], [4, 4]], 432547/530841600], [[[1, 8], [2, 9], [5, 2]], 197/29491200], [[[1, 8], [2, 9], [6, 4]], 127301/5733089280], [[[1, 8], [2, 9], [10, 2]], 10261/442368000], [[[1, 8], [2, 11], [3, 3]], 89/95551488], [[[1, 8], [2, 11], [4, 3]], 1655279/4246732800], [[[1, 8], [2, 11], [6, 3]], 56795/859963392], [[[1, 8], [2, 13], [3, 2]], 509/4246732800], [[[1, 8], [2, 13], [4, 2]], 140617/1698693120], [[[1, 8], [2, 13], [5, 1]], 703/3538944000], [[[1, 8], [2, 13], [6, 2]], 12619991/229323571200], [[[1, 8], [2, 13], [8, 1]], 35983/12740198400], [[[1, 8], [2, 13], [10, 1]], 1045831/63700992000], [[[1, 8], [2, 15], [3, 1]], 74743/76441190400], [[[1, 8], [2, 15], [4, 1]], 1859449/152882380800], [[[1, 8], [2, 15], [6, 1]], 3046933/229323571200], [[[1, 9], [2, 2], [3, 7]], 349/44789760], [[[1, 9], [2, 4], [3, 6]], 11479/1074954240], [[[1, 9], [2, 4], [4, 6]], 107/4423680], [[[1, 9], [2, 4], [5, 3]], 1937/23040000], [[[1, 9], [2, 6], [3, 5]], 571/22394880], [[[1, 9], [2, 6], [4, 5]], 6941/23592960], [[[1, 9], [2, 6], [6, 5]], 1/15925248], [[[1, 9], [2, 8], [3, 4]], 127301/5733089280], [[[1, 9], [2, 8], [4, 4]], 432547/530841600], [[[1, 9], [2, 8], [5, 2]], 10261/442368000], [[[1, 9], [2, 8], [6, 4]], 599/127401984], [[[1, 9], [2, 8], [10, 2]], 197/29491200], [[[1, 9], [2, 10], [3, 3]], 467/59719680], [[[1, 9], [2, 10], [4, 3]], 1313471/2123366400], [[[1, 9], [2, 10], [6, 3]], 4757/159252480], [[[1, 9], [2, 12], [3, 2]], 11509/8493465600], [[[1, 9], [2, 12], [4, 2]], 4001083/25480396800], [[[1, 9], [2, 12], [5, 1]], 30733/21233664000], [[[1, 9], [2, 12], [6, 2]], 110561/2548039680], [[[1, 9], [2, 12], [8, 1]], 671/157286400], [[[1, 9], [2, 12], [10, 1]], 11033/707788800], [[[1, 9], [2, 14], [3, 1]], 150859/76441190400], [[[1, 9], [2, 14], [4, 1]], 1585373/76441190400], [[[1, 9], [2, 14], [6, 1]], 420377/25480396800], [[[1, 9], [3, 2], [5, 3]], 1/144000], [[[1, 9], [3, 2], [9, 2]], 1/829440], [[[1, 9], [3, 4], [5, 2]], 1/518400], [[[1, 9], [3, 5], [9, 1]], 1/10368], [[[1, 9], [3, 6], [4, 2]], 329/179159040], [[[1, 9], [3, 6], [5, 1]], 329/27993600], [[[1, 9], [4, 2], [5, 3]], 1/768000], [[[1, 10], [2, 1], [3, 7]], 167/22394880], [[[1, 10], [2, 3], [3, 6]], 3061/268738560], [[[1, 10], [2, 3], [5, 3]], 347/5760000], [[[1, 10], [2, 5], [3, 5]], 2771/71663616], [[[1, 10], [2, 5], [4, 5]], 17627/212336640], [[[1, 10], [2, 7], [3, 4]], 31685/573308928], [[[1, 10], [2, 7], [4, 4]], 2075287/4246732800], [[[1, 10], [2, 7], [5, 2]], 2021/44236800], [[[1, 10], [2, 7], [6, 4]], 139/382205952], [[[1, 10], [2, 7], [10, 2]], 3/3276800], [[[1, 10], [2, 9], [3, 3]], 4757/159252480], [[[1, 10], [2, 9], [4, 3]], 1313471/2123366400], [[[1, 10], [2, 9], [6, 3]], 467/59719680], [[[1, 10], [2, 11], [3, 2]], 9881/1274019840], [[[1, 10], [2, 11], [4, 2]], 1927949/8493465600], [[[1, 10], [2, 11], [5, 1]], 27359/5308416000], [[[1, 10], [2, 11], [6, 2]], 118493/5096079360], [[[1, 10], [2, 11], [8, 1]], 167/31457280], [[[1, 10], [2, 11], [10, 1]], 46007/4246732800], [[[1, 10], [2, 13], [3, 1]], 92629/25480396800], [[[1, 10], [2, 13], [4, 1]], 11755327/382205952000], [[[1, 10], [2, 13], [6, 1]], 1180759/76441190400], [[[1, 11], [2, 2], [3, 6]], 1159/179159040], [[[1, 11], [2, 2], [5, 3]], 29/1280000], [[[1, 11], [2, 4], [3, 5]], 12949/358318080], [[[1, 11], [2, 4], [4, 5]], 1451/424673280], [[[1, 11], [2, 6], [3, 4]], 715361/8599633920], [[[1, 11], [2, 6], [4, 4]], 133919/849346560], [[[1, 11], [2, 6], [5, 2]], 449/8192000], [[[1, 11], [2, 6], [6, 4]], 1/382205952], [[[1, 11], [2, 6], [10, 2]], 1/29491200], [[[1, 11], [2, 8], [3, 3]], 56795/859963392], [[[1, 11], [2, 8], [4, 3]], 1655279/4246732800], [[[1, 11], [2, 8], [6, 3]], 89/95551488], [[[1, 11], [2, 10], [3, 2]], 118493/5096079360], [[[1, 11], [2, 10], [4, 2]], 1927949/8493465600], [[[1, 11], [2, 10], [5, 1]], 46007/4246732800], [[[1, 11], [2, 10], [6, 2]], 9881/1274019840], [[[1, 11], [2, 10], [8, 1]], 167/31457280], [[[1, 11], [2, 10], [10, 1]], 27359/5308416000], [[[1, 11], [2, 12], [3, 1]], 173513/25480396800], [[[1, 11], [2, 12], [4, 1]], 623059/15925248000], [[[1, 11], [2, 12], [6, 1]], 869827/76441190400], [[[1, 11], [3, 1], [5, 3]], 1/115200], [[[1, 11], [3, 3], [5, 2]], 11/2073600], [[[1, 11], [3, 4], [9, 1]], 1/829440], [[[1, 11], [3, 5], [4, 2]], 1/11943936], [[[1, 11], [3, 5], [5, 1]], 7/7464960], [[[1, 12], [2, 1], [3, 6]], 1477/895795200], [[[1, 12], [2, 1], [5, 3]], 11/2880000], [[[1, 12], [2, 3], [3, 5]], 1889/89579520], [[[1, 12], [2, 3], [4, 5]], 157/424673280], [[[1, 12], [2, 5], [3, 4]], 230213/2866544640], [[[1, 12], [2, 5], [4, 4]], 10093/424673280], [[[1, 12], [2, 5], [5, 2]], 9061/221184000], [[[1, 12], [2, 7], [3, 3]], 200387/2149908480], [[[1, 12], [2, 7], [4, 3]], 225311/1415577600], [[[1, 12], [2, 7], [6, 3]], 1/31850496], [[[1, 12], [2, 9], [3, 2]], 110561/2548039680], [[[1, 12], [2, 9], [4, 2]], 4001083/25480396800], [[[1, 12], [2, 9], [5, 1]], 11033/707788800], [[[1, 12], [2, 9], [6, 2]], 11509/8493465600], [[[1, 12], [2, 9], [8, 1]], 671/157286400], [[[1, 12], [2, 9], [10, 1]], 30733/21233664000], [[[1, 12], [2, 11], [3, 1]], 869827/76441190400], [[[1, 12], [2, 11], [4, 1]], 623059/15925248000], [[[1, 12], [2, 11], [6, 1]], 173513/25480396800], [[[1, 13], [2, 2], [3, 5]], 37/4976640], [[[1, 13], [2, 4], [3, 4]], 726223/14332723200], [[[1, 13], [2, 4], [4, 4]], 1487/424673280], [[[1, 13], [2, 4], [5, 2]], 62653/3317760000], [[[1, 13], [2, 6], [3, 3]], 117379/1343692800], [[[1, 13], [2, 6], [4, 3]], 67001/1415577600], [[[1, 13], [2, 8], [3, 2]], 12619991/229323571200], [[[1, 13], [2, 8], [4, 2]], 140617/1698693120], [[[1, 13], [2, 8], [5, 1]], 1045831/63700992000], [[[1, 13], [2, 8], [6, 2]], 509/4246732800], [[[1, 13], [2, 8], [8, 1]], 35983/12740198400], [[[1, 13], [2, 8], [10, 1]], 703/3538944000], [[[1, 13], [2, 10], [3, 1]], 1180759/76441190400], [[[1, 13], [2, 10], [4, 1]], 11755327/382205952000], [[[1, 13], [2, 10], [6, 1]], 92629/25480396800], [[[1, 13], [3, 2], [5, 2]], 193/55296000], [[[1, 13], [3, 4], [4, 2]], 41/477757440], [[[1, 13], [3, 4], [5, 1]], 811/597196800], [[[1, 13], [4, 2], [5, 2]], 1/36864000], [[[1, 14], [2, 1], [3, 5]], 343/238878720], [[[1, 14], [2, 3], [3, 4]], 1776817/85996339200], [[[1, 14], [2, 3], [4, 4]], 7/31457280], [[[1, 14], [2, 3], [5, 2]], 34289/6635520000], [[[1, 14], [2, 5], [3, 3]], 591853/10749542400], [[[1, 14], [2, 5], [4, 3]], 1081/94371840], [[[1, 14], [2, 7], [3, 2]], 277967/5733089280], [[[1, 14], [2, 7], [4, 2]], 234701/6370099200], [[[1, 14], [2, 7], [5, 1]], 6589/530841600], [[[1, 14], [2, 7], [6, 2]], 19/8493465600], [[[1, 14], [2, 7], [8, 1]], 18643/12740198400], [[[1, 14], [2, 7], [10, 1]], 19/2359296000], [[[1, 14], [2, 9], [3, 1]], 420377/25480396800], [[[1, 14], [2, 9], [4, 1]], 1585373/76441190400], [[[1, 14], [2, 9], [6, 1]], 150859/76441190400], [[[1, 15], [2, 2], [3, 4]], 149401/28665446400], [[[1, 15], [2, 2], [4, 4]], 1/94371840], [[[1, 15], [2, 2], [5, 2]], 193/245760000], [[[1, 15], [2, 4], [3, 3]], 498737/21499084800], [[[1, 15], [2, 4], [4, 3]], 1411/849346560], [[[1, 15], [2, 6], [3, 2]], 6784811/229323571200], [[[1, 15], [2, 6], [4, 2]], 41273/3185049600], [[[1, 15], [2, 6], [5, 1]], 410731/63700992000], [[[1, 15], [2, 6], [8, 1]], 6769/12740198400], [[[1, 15], [2, 8], [3, 1]], 3046933/229323571200], [[[1, 15], [2, 8], [4, 1]], 1859449/152882380800], [[[1, 15], [2, 8], [6, 1]], 74743/76441190400], [[[1, 15], [3, 1], [5, 2]], 1/6635520], [[[1, 15], [3, 3], [4, 2]], 23/716636160], [[[1, 15], [3, 3], [5, 1]], 571/895795200], [[[1, 16], [2, 1], [3, 4]], 21079/28665446400], [[[1, 16], [2, 1], [5, 2]], 389/6635520000], [[[1, 16], [2, 3], [3, 3]], 136553/21499084800], [[[1, 16], [2, 3], [4, 3]], 97/849346560], [[[1, 16], [2, 5], [3, 2]], 1422841/114661785600], [[[1, 16], [2, 5], [4, 2]], 156029/50960793600], [[[1, 16], [2, 5], [5, 1]], 23867/10616832000], [[[1, 16], [2, 5], [8, 1]], 72721/573308928000], [[[1, 16], [2, 7], [3, 1]], 1775071/229323571200], [[[1, 16], [2, 7], [4, 1]], 38240731/6879707136000], [[[1, 16], [2, 7], [6, 1]], 6769/19110297600], [[[1, 17], [2, 2], [3, 3]], 953/895795200], [[[1, 17], [2, 2], [4, 3]], 7/1698693120], [[[1, 17], [2, 4], [3, 2]], 4025761/1146617856000], [[[1, 17], [2, 4], [4, 2]], 992161/2293235712000], [[[1, 17], [2, 4], [5, 1]], 1476377/2866544640000], [[[1, 17], [2, 4], [8, 1]], 1373/71663616000], [[[1, 17], [2, 6], [3, 1]], 10977917/3439853568000], [[[1, 17], [2, 6], [4, 1]], 24738347/13759414272000], [[[1, 17], [2, 6], [6, 1]], 72721/859963392000], [[[1, 17], [3, 2], [4, 2]], 41/19110297600], [[[1, 17], [3, 2], [5, 1]], 467/11943936000], [[[1, 17], [4, 2], [5, 1]], 1/5308416000], [[[1, 18], [2, 1], [3, 3]], 689/7166361600], [[[1, 18], [2, 1], [4, 3]], 1/8493465600], [[[1, 18], [2, 3], [3, 2]], 185081/286654464000], [[[1, 18], [2, 3], [4, 2]], 75379/2293235712000], [[[1, 18], [2, 3], [5, 1]], 53657/716636160000], [[[1, 18], [2, 3], [8, 1]], 83/47775744000], [[[1, 18], [2, 5], [3, 1]], 350269/382205952000], [[[1, 18], [2, 5], [4, 1]], 23909/61152952320], [[[1, 18], [2, 5], [6, 1]], 1373/107495424000], [[[1, 19], [2, 2], [3, 2]], 9199/127401984000], [[[1, 19], [2, 2], [4, 2]], 917/764411904000], [[[1, 19], [2, 2], [5, 1]], 6229/955514880000], [[[1, 19], [2, 2], [8, 1]], 49/573308928000], [[[1, 19], [2, 4], [3, 1]], 7609/42467328000], [[[1, 19], [2, 4], [4, 1]], 150799/2751882854400], [[[1, 19], [2, 4], [6, 1]], 83/71663616000], [[[1, 19], [3, 1], [4, 2]], 1/19110297600], [[[1, 19], [3, 1], [5, 1]], 1/1194393600], [[[1, 20], [2, 1], [3, 2]], 829/191102976000], [[[1, 20], [2, 1], [4, 2]], 49/2293235712000], [[[1, 20], [2, 1], [5, 1]], 439/1433272320000], [[[1, 20], [2, 1], [8, 1]], 1/573308928000], [[[1, 20], [2, 3], [3, 1]], 79021/3439853568000], [[[1, 20], [2, 3], [4, 1]], 12817/2751882854400], [[[1, 20], [2, 3], [6, 1]], 49/859963392000], [[[1, 21], [2, 2], [3, 1]], 2083/1146617856000], [[[1, 21], [2, 2], [4, 1]], 989/4586471424000], [[[1, 21], [2, 2], [6, 1]], 1/859963392000], [[[1, 22], [2, 1], [3, 1]], 91/1146617856000], [[[1, 22], [2, 1], [4, 1]], 19/4586471424000], [[[2, 7], [6, 3], [18, 2]], 1/10368], [[[2, 9], [4, 2], [6, 6]], 329/179159040], [[[2, 9], [4, 2], [10, 3]], 1/768000], [[[2, 9], [6, 2], [10, 3]], 1/144000], [[[2, 9], [6, 2], [18, 2]], 1/829440], [[[2, 9], [6, 4], [10, 2]], 1/518400], [[[2, 9], [6, 5], [18, 1]], 1/10368], [[[2, 9], [6, 6], [10, 1]], 329/27993600], [[[2, 11], [4, 2], [6, 5]], 1/11943936], [[[2, 11], [6, 1], [10, 3]], 1/115200], [[[2, 11], [6, 3], [10, 2]], 11/2073600], [[[2, 11], [6, 4], [18, 1]], 1/829440], [[[2, 11], [6, 5], [10, 1]], 7/7464960], [[[2, 13], [4, 2], [6, 4]], 41/477757440], [[[2, 13], [4, 2], [10, 2]], 1/36864000], [[[2, 13], [6, 2], [10, 2]], 193/55296000], [[[2, 13], [6, 4], [10, 1]], 811/597196800], [[[2, 15], [4, 2], [6, 3]], 23/716636160], [[[2, 15], [6, 1], [10, 2]], 1/6635520], [[[2, 15], [6, 3], [10, 1]], 571/895795200], [[[2, 17], [4, 2], [6, 2]], 41/19110297600], [[[2, 17], [4, 2], [10, 1]], 1/5308416000], [[[2, 17], [6, 2], [10, 1]], 467/11943936000], [[[2, 19], [4, 2], [6, 1]], 1/19110297600], [[[2, 19], [6, 1], [10, 1]], 1/1194393600], [[[1, 1], [2, 6], [6, 3], [18, 2]], 1/3456], [[[1, 1], [2, 8], [4, 2], [6, 6]], 43/22394880], [[[1, 1], [2, 8], [4, 2], [10, 3]], 1/192000], [[[1, 1], [2, 8], [6, 2], [10, 3]], 1/36000], [[[1, 1], [2, 8], [6, 2], [18, 2]], 7/276480], [[[1, 1], [2, 8], [6, 4], [10, 2]], 1/129600], [[[1, 1], [2, 8], [6, 5], [18, 1]], 1/3456], [[[1, 1], [2, 8], [6, 6], [8, 1]], 329/44789760], [[[1, 1], [2, 8], [6, 6], [10, 1]], 43/3499200], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/192000], [[[1, 1], [2, 10], [3, 1], [6, 6]], 581/14929920], [[[1, 1], [2, 10], [4, 1], [6, 6]], 329/35831808], [[[1, 1], [2, 10], [4, 1], [10, 3]], 17/768000], [[[1, 1], [2, 10], [4, 2], [6, 5]], 7/11943936], [[[1, 1], [2, 10], [4, 3], [6, 4]], 1/5308416], [[[1, 1], [2, 10], [4, 3], [10, 2]], 1/409600], [[[1, 1], [2, 10], [6, 1], [10, 3]], 17/288000], [[[1, 1], [2, 10], [6, 3], [10, 2]], 37/1036800], [[[1, 1], [2, 10], [6, 4], [18, 1]], 7/276480], [[[1, 1], [2, 10], [6, 5], [8, 1]], 1/2985984], [[[1, 1], [2, 10], [6, 5], [10, 1]], 23/3732480], [[[1, 1], [2, 12], [3, 1], [6, 5]], 1381/1194393600], [[[1, 1], [2, 12], [4, 1], [6, 5]], 1/1492992], [[[1, 1], [2, 12], [4, 2], [6, 4]], 419/477757440], [[[1, 1], [2, 12], [4, 2], [10, 2]], 19/36864000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 1/2654208], [[[1, 1], [2, 12], [6, 2], [10, 2]], 239/6912000], [[[1, 1], [2, 12], [6, 4], [8, 1]], 41/119439360], [[[1, 1], [2, 12], [6, 4], [10, 1]], 121/9331200], [[[1, 1], [2, 12], [8, 1], [10, 2]], 1/9216000], [[[1, 1], [2, 14], [3, 1], [6, 4]], 43/119439360], [[[1, 1], [2, 14], [4, 1], [6, 4]], 893/955514880], [[[1, 1], [2, 14], [4, 1], [10, 2]], 29/73728000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 163/358318080], [[[1, 1], [2, 14], [4, 3], [6, 2]], 7/35389440], [[[1, 1], [2, 14], [4, 3], [10, 1]], 1/29491200], [[[1, 1], [2, 14], [6, 1], [10, 2]], 559/165888000], [[[1, 1], [2, 14], [6, 3], [8, 1]], 23/179159040], [[[1, 1], [2, 14], [6, 3], [10, 1]], 7549/895795200], [[[1, 1], [2, 16], [3, 1], [6, 3]], 101/4777574400], [[[1, 1], [2, 16], [4, 1], [6, 3]], 617/1433272320], [[[1, 1], [2, 16], [4, 2], [6, 2]], 517/9555148800], [[[1, 1], [2, 16], [4, 2], [10, 1]], 17/2654208000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 1/106168320], [[[1, 1], [2, 16], [6, 2], [8, 1]], 41/4777574400], [[[1, 1], [2, 16], [6, 2], [10, 1]], 11813/11943936000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/1327104000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 1/2388787200], [[[1, 1], [2, 18], [4, 1], [6, 2]], 127/4777574400], [[[1, 1], [2, 18], [4, 1], [10, 1]], 1/442368000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 37/19110297600], [[[1, 1], [2, 18], [6, 1], [8, 1]], 1/4777574400], [[[1, 1], [2, 18], [6, 1], [10, 1]], 191/5971968000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/859963392000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/382205952000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 11/19110297600], [[[1, 2], [2, 5], [6, 3], [18, 2]], 1/3456], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/5971968], [[[1, 2], [2, 7], [4, 2], [10, 3]], 1/128000], [[[1, 2], [2, 7], [4, 6], [8, 1]], 1/65536], [[[1, 2], [2, 7], [6, 2], [10, 3]], 1/24000], [[[1, 2], [2, 7], [6, 2], [18, 2]], 1/9216], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/86400], [[[1, 2], [2, 7], [6, 5], [18, 1]], 1/3456], [[[1, 2], [2, 7], [6, 6], [8, 1]], 43/5598720], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/933120], [[[1, 2], [2, 7], [8, 1], [10, 3]], 1/48000], [[[1, 2], [2, 9], [3, 1], [6, 6]], 103/839808], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/288000], [[[1, 2], [2, 9], [3, 2], [6, 5]], 145/995328], [[[1, 2], [2, 9], [3, 3], [6, 4]], 7/497664], [[[1, 2], [2, 9], [3, 4], [6, 3]], 1/995328], [[[1, 2], [2, 9], [4, 1], [6, 6]], 1189/89579520], [[[1, 2], [2, 9], [4, 1], [10, 3]], 41/384000], [[[1, 2], [2, 9], [4, 2], [6, 5]], 1/663552], [[[1, 2], [2, 9], [4, 3], [6, 4]], 5/5308416], [[[1, 2], [2, 9], [4, 3], [8, 2]], 1/1474560], [[[1, 2], [2, 9], [4, 3], [10, 2]], 1/81920], [[[1, 2], [2, 9], [6, 1], [10, 3]], 29/192000], [[[1, 2], [2, 9], [6, 3], [10, 2]], 7/76800], [[[1, 2], [2, 9], [6, 4], [18, 1]], 1/9216], [[[1, 2], [2, 9], [6, 5], [8, 1]], 7/2985984], [[[1, 2], [2, 9], [6, 5], [10, 1]], 13/829440], [[[1, 2], [2, 11], [3, 1], [6, 5]], 7381/447897600], [[[1, 2], [2, 11], [3, 2], [6, 4]], 5/1769472], [[[1, 2], [2, 11], [3, 3], [6, 3]], 17/79626240], [[[1, 2], [2, 11], [4, 1], [6, 5]], 29/5971968], [[[1, 2], [2, 11], [4, 2], [6, 4]], 707/159252480], [[[1, 2], [2, 11], [4, 2], [10, 2]], 307/12288000], [[[1, 2], [2, 11], [4, 3], [6, 3]], 1/331776], [[[1, 2], [2, 11], [4, 4], [6, 2]], 1/2359296], [[[1, 2], [2, 11], [4, 4], [8, 1]], 11/35389440], [[[1, 2], [2, 11], [4, 4], [10, 1]], 1/655360], [[[1, 2], [2, 11], [6, 2], [10, 2]], 629/4608000], [[[1, 2], [2, 11], [6, 4], [8, 1]], 419/119439360], [[[1, 2], [2, 11], [6, 4], [10, 1]], 2473/49766400], [[[1, 2], [2, 11], [8, 1], [10, 2]], 19/9216000], [[[1, 2], [2, 13], [3, 1], [6, 4]], 1729/358318080], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1/13824000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 1/26542080], [[[1, 2], [2, 13], [4, 1], [6, 4]], 9229/955514880], [[[1, 2], [2, 13], [4, 1], [10, 2]], 589/73728000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 1213/238878720], [[[1, 2], [2, 13], [4, 3], [6, 2]], 1/442368], [[[1, 2], [2, 13], [4, 3], [10, 1]], 1/1474560], [[[1, 2], [2, 13], [4, 4], [6, 1]], 1/2359296], [[[1, 2], [2, 13], [6, 1], [10, 2]], 89/3456000], [[[1, 2], [2, 13], [6, 3], [8, 1]], 163/89579520], [[[1, 2], [2, 13], [6, 3], [10, 1]], 863/18662400], [[[1, 2], [2, 15], [3, 1], [6, 3]], 26711/42998169600], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1/3185049600], [[[1, 2], [2, 15], [4, 1], [6, 3]], 217/35831808], [[[1, 2], [2, 15], [4, 2], [6, 2]], 367/176947200], [[[1, 2], [2, 15], [4, 2], [10, 1]], 17/49152000], [[[1, 2], [2, 15], [4, 3], [6, 1]], 23/106168320], [[[1, 2], [2, 15], [6, 2], [8, 1]], 517/2388787200], [[[1, 2], [2, 15], [6, 2], [10, 1]], 12283/1327104000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 17/663552000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 1/3185049600], [[[1, 2], [2, 17], [3, 1], [6, 2]], 79/3583180800], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/1990656000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 827/1194393600], [[[1, 2], [2, 17], [4, 1], [8, 1]], 1/2123366400], [[[1, 2], [2, 17], [4, 1], [10, 1]], 1/12288000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 77/796262400], [[[1, 2], [2, 17], [6, 1], [8, 1]], 37/4777574400], [[[1, 2], [2, 17], [6, 1], [10, 1]], 239/497664000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 49/859963392000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 161/573308928000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 427/19110297600], [[[1, 3], [2, 4], [6, 3], [18, 2]], 1/10368], [[[1, 3], [2, 6], [3, 2], [4, 6]], 1/884736], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/8957952], [[[1, 3], [2, 6], [4, 2], [10, 3]], 1/192000], [[[1, 3], [2, 6], [4, 4], [8, 2]], 1/8192], [[[1, 3], [2, 6], [4, 5], [6, 3]], 1/331776], [[[1, 3], [2, 6], [4, 6], [5, 1]], 1/245760], [[[1, 3], [2, 6], [4, 6], [8, 1]], 3/65536], [[[1, 3], [2, 6], [5, 2], [10, 2]], 1/4000], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/36000], [[[1, 3], [2, 6], [6, 2], [18, 2]], 13/82944], [[[1, 3], [2, 6], [6, 4], [10, 2]], 1/129600], [[[1, 3], [2, 6], [6, 5], [18, 1]], 1/10368], [[[1, 3], [2, 6], [6, 6], [8, 1]], 1/1492992], [[[1, 3], [2, 6], [6, 6], [10, 1]], 1/1399680], [[[1, 3], [2, 6], [8, 1], [10, 3]], 1/32000], [[[1, 3], [2, 8], [3, 1], [6, 6]], 3383/26873856], [[[1, 3], [2, 8], [3, 1], [10, 3]], 1/72000], [[[1, 3], [2, 8], [3, 2], [6, 5]], 1933/3732480], [[[1, 3], [2, 8], [3, 3], [6, 4]], 67/331776], [[[1, 3], [2, 8], [3, 4], [6, 3]], 1/82944], [[[1, 3], [2, 8], [3, 5], [6, 2]], 1/995328], [[[1, 3], [2, 8], [4, 1], [6, 6]], 2843/537477120], [[[1, 3], [2, 8], [4, 1], [10, 3]], 19/92160], [[[1, 3], [2, 8], [4, 2], [6, 5]], 11/5971968], [[[1, 3], [2, 8], [4, 3], [6, 4]], 5/2654208], [[[1, 3], [2, 8], [4, 3], [8, 2]], 17/1474560], [[[1, 3], [2, 8], [4, 3], [10, 2]], 1/40960], [[[1, 3], [2, 8], [4, 5], [6, 2]], 1/294912], [[[1, 3], [2, 8], [4, 5], [8, 1]], 169/1474560], [[[1, 3], [2, 8], [4, 5], [10, 1]], 13/737280], [[[1, 3], [2, 8], [6, 1], [10, 3]], 3/16000], [[[1, 3], [2, 8], [6, 3], [10, 2]], 59/518400], [[[1, 3], [2, 8], [6, 4], [18, 1]], 13/82944], [[[1, 3], [2, 8], [6, 5], [8, 1]], 1/165888], [[[1, 3], [2, 8], [6, 5], [10, 1]], 37/1866240], [[[1, 3], [2, 10], [3, 1], [6, 5]], 12133/179159040], [[[1, 3], [2, 10], [3, 2], [4, 4]], 1/53084160], [[[1, 3], [2, 10], [3, 2], [6, 4]], 1453/29859840], [[[1, 3], [2, 10], [3, 3], [6, 3]], 163/26542080], [[[1, 3], [2, 10], [3, 4], [6, 2]], 1/8847360], [[[1, 3], [2, 10], [4, 1], [6, 5]], 251/17915904], [[[1, 3], [2, 10], [4, 2], [6, 4]], 5759/477757440], [[[1, 3], [2, 10], [4, 2], [8, 2]], 1/737280], [[[1, 3], [2, 10], [4, 2], [10, 2]], 4879/36864000], [[[1, 3], [2, 10], [4, 3], [6, 3]], 25/2654208], [[[1, 3], [2, 10], [4, 4], [5, 1]], 1/14745600], [[[1, 3], [2, 10], [4, 4], [6, 2]], 1/393216], [[[1, 3], [2, 10], [4, 4], [8, 1]], 257/35389440], [[[1, 3], [2, 10], [4, 4], [10, 1]], 3/327680], [[[1, 3], [2, 10], [4, 5], [6, 1]], 17/4423680], [[[1, 3], [2, 10], [5, 2], [10, 1]], 1/1536000], [[[1, 3], [2, 10], [6, 2], [10, 2]], 319/1152000], [[[1, 3], [2, 10], [6, 4], [8, 1]], 557/39813120], [[[1, 3], [2, 10], [6, 4], [10, 1]], 7403/74649600], [[[1, 3], [2, 10], [8, 1], [10, 2]], 37/3072000], [[[1, 3], [2, 12], [3, 1], [6, 4]], 4811/179159040], [[[1, 3], [2, 12], [3, 1], [10, 2]], 19/13824000], [[[1, 3], [2, 12], [3, 2], [6, 3]], 25/15925248], [[[1, 3], [2, 12], [4, 1], [6, 4]], 5867/143327232], [[[1, 3], [2, 12], [4, 1], [10, 2]], 571/11059200], [[[1, 3], [2, 12], [4, 2], [6, 3]], 10153/358318080], [[[1, 3], [2, 12], [4, 3], [6, 2]], 89/7077888], [[[1, 3], [2, 12], [4, 3], [8, 1]], 1/1474560], [[[1, 3], [2, 12], [4, 3], [10, 1]], 83/5898240], [[[1, 3], [2, 12], [4, 4], [6, 1]], 1/262144], [[[1, 3], [2, 12], [6, 1], [10, 2]], 1991/20736000], [[[1, 3], [2, 12], [6, 3], [8, 1]], 157/14929920], [[[1, 3], [2, 12], [6, 3], [10, 1]], 15347/111974400], [[[1, 3], [2, 14], [3, 1], [4, 3]], 1/35389440], [[[1, 3], [2, 14], [3, 1], [6, 3]], 266189/42998169600], [[[1, 3], [2, 14], [3, 2], [6, 2]], 437/9555148800], [[[1, 3], [2, 14], [4, 1], [6, 3]], 154357/4299816960], [[[1, 3], [2, 14], [4, 2], [6, 2]], 196867/9555148800], [[[1, 3], [2, 14], [4, 2], [8, 1]], 1/23592960], [[[1, 3], [2, 14], [4, 2], [10, 1]], 16127/2654208000], [[[1, 3], [2, 14], [4, 3], [6, 1]], 23/5308416], [[[1, 3], [2, 14], [6, 2], [8, 1]], 121/58982400], [[[1, 3], [2, 14], [6, 2], [10, 1]], 535313/11943936000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 49/147456000], [[[1, 3], [2, 16], [3, 1], [4, 2]], 7/637009920], [[[1, 3], [2, 16], [3, 1], [6, 2]], 11/27993600], [[[1, 3], [2, 16], [3, 1], [10, 1]], 17/995328000], [[[1, 3], [2, 16], [3, 2], [6, 1]], 1/2388787200], [[[1, 3], [2, 16], [4, 1], [6, 2]], 4879/716636160], [[[1, 3], [2, 16], [4, 1], [8, 1]], 7/424673280], [[[1, 3], [2, 16], [4, 1], [10, 1]], 7/6220800], [[[1, 3], [2, 16], [4, 2], [6, 1]], 8833/4777574400], [[[1, 3], [2, 16], [6, 1], [8, 1]], 181/1592524800], [[[1, 3], [2, 16], [6, 1], [10, 1]], 22277/5971968000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 211/143327232000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 9493/1146617856000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 9881/28665446400], [[[1, 4], [2, 3], [3, 3], [9, 2]], 1/10368], [[[1, 4], [2, 5], [3, 2], [4, 6]], 1/442368], [[[1, 4], [2, 5], [3, 2], [9, 2]], 1/165888], [[[1, 4], [2, 5], [3, 3], [4, 5]], 1/331776], [[[1, 4], [2, 5], [3, 6], [8, 1]], 1/8957952], [[[1, 4], [2, 5], [4, 2], [6, 6]], 1/35831808], [[[1, 4], [2, 5], [4, 2], [10, 3]], 1/768000], [[[1, 4], [2, 5], [4, 4], [8, 2]], 3/8192], [[[1, 4], [2, 5], [4, 5], [6, 3]], 1/165888], [[[1, 4], [2, 5], [4, 6], [5, 1]], 1/122880], [[[1, 4], [2, 5], [4, 6], [6, 2]], 1/884736], [[[1, 4], [2, 5], [4, 6], [8, 1]], 1/16384], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1/245760], [[[1, 4], [2, 5], [5, 2], [10, 2]], 3/4000], [[[1, 4], [2, 5], [5, 3], [8, 1]], 1/192000], [[[1, 4], [2, 5], [6, 2], [10, 3]], 1/144000], [[[1, 4], [2, 5], [6, 2], [18, 2]], 13/165888], [[[1, 4], [2, 5], [6, 4], [10, 2]], 1/518400], [[[1, 4], [2, 5], [6, 6], [8, 1]], 1/2239488], [[[1, 4], [2, 5], [6, 6], [10, 1]], 1/5598720], [[[1, 4], [2, 5], [8, 1], [10, 3]], 1/48000], [[[1, 4], [2, 7], [3, 1], [4, 6]], 1/98304], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/21870], [[[1, 4], [2, 7], [3, 1], [10, 3]], 1/48000], [[[1, 4], [2, 7], [3, 2], [4, 5]], 1/98304], [[[1, 4], [2, 7], [3, 2], [6, 5]], 9097/14929920], [[[1, 4], [2, 7], [3, 3], [6, 4]], 71/82944], [[[1, 4], [2, 7], [3, 4], [6, 3]], 11/110592], [[[1, 4], [2, 7], [3, 5], [6, 2]], 5/746496], [[[1, 4], [2, 7], [3, 6], [4, 1]], 1/107495424], [[[1, 4], [2, 7], [3, 6], [6, 1]], 1/2985984], [[[1, 4], [2, 7], [4, 1], [5, 3]], 1/2304000], [[[1, 4], [2, 7], [4, 1], [6, 6]], 103/67184640], [[[1, 4], [2, 7], [4, 1], [10, 3]], 23/115200], [[[1, 4], [2, 7], [4, 2], [6, 5]], 13/11943936], [[[1, 4], [2, 7], [4, 3], [6, 4]], 5/2654208], [[[1, 4], [2, 7], [4, 3], [8, 2]], 451/1474560], [[[1, 4], [2, 7], [4, 3], [10, 2]], 1/40960], [[[1, 4], [2, 7], [4, 4], [6, 3]], 5/331776], [[[1, 4], [2, 7], [4, 5], [5, 1]], 3/81920], [[[1, 4], [2, 7], [4, 5], [6, 2]], 1/55296], [[[1, 4], [2, 7], [4, 5], [8, 1]], 319/737280], [[[1, 4], [2, 7], [4, 5], [10, 1]], 11/184320], [[[1, 4], [2, 7], [4, 6], [6, 1]], 7/884736], [[[1, 4], [2, 7], [6, 1], [10, 3]], 67/576000], [[[1, 4], [2, 7], [6, 3], [10, 2]], 149/2073600], [[[1, 4], [2, 7], [6, 4], [18, 1]], 13/165888], [[[1, 4], [2, 7], [6, 5], [8, 1]], 11/1492992], [[[1, 4], [2, 7], [6, 5], [10, 1]], 97/7464960], [[[1, 4], [2, 9], [3, 1], [6, 5]], 335/2985984], [[[1, 4], [2, 9], [3, 2], [4, 4]], 11/26542080], [[[1, 4], [2, 9], [3, 2], [6, 4]], 13007/59719680], [[[1, 4], [2, 9], [3, 3], [6, 3]], 83/995328], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/15925248], [[[1, 4], [2, 9], [3, 4], [6, 2]], 37/6635520], [[[1, 4], [2, 9], [3, 5], [6, 1]], 1/47775744], [[[1, 4], [2, 9], [4, 1], [6, 5]], 95/4478976], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/1228800], [[[1, 4], [2, 9], [4, 2], [6, 4]], 8981/477757440], [[[1, 4], [2, 9], [4, 2], [8, 2]], 17/737280], [[[1, 4], [2, 9], [4, 2], [10, 2]], 11221/36864000], [[[1, 4], [2, 9], [4, 3], [6, 3]], 5/331776], [[[1, 4], [2, 9], [4, 4], [5, 1]], 37/22118400], [[[1, 4], [2, 9], [4, 4], [6, 2]], 163/7077888], [[[1, 4], [2, 9], [4, 4], [8, 1]], 4319/17694720], [[[1, 4], [2, 9], [4, 4], [10, 1]], 569/5898240], [[[1, 4], [2, 9], [4, 5], [6, 1]], 11/491520], [[[1, 4], [2, 9], [5, 1], [10, 2]], 3/102400], [[[1, 4], [2, 9], [5, 2], [10, 1]], 37/2304000], [[[1, 4], [2, 9], [6, 2], [10, 2]], 8629/27648000], [[[1, 4], [2, 9], [6, 4], [8, 1]], 3329/119439360], [[[1, 4], [2, 9], [6, 4], [10, 1]], 33323/298598400], [[[1, 4], [2, 9], [8, 1], [10, 2]], 289/9216000], [[[1, 4], [2, 11], [3, 1], [4, 4]], 5/5308416], [[[1, 4], [2, 11], [3, 1], [6, 4]], 179/2211840], [[[1, 4], [2, 11], [3, 1], [10, 2]], 37/4608000], [[[1, 4], [2, 11], [3, 2], [4, 3]], 23/106168320], [[[1, 4], [2, 11], [3, 2], [6, 3]], 143/4976640], [[[1, 4], [2, 11], [3, 3], [6, 2]], 23/26542080], [[[1, 4], [2, 11], [4, 1], [6, 4]], 13373/143327232], [[[1, 4], [2, 11], [4, 1], [8, 2]], 1/1474560], [[[1, 4], [2, 11], [4, 1], [10, 2]], 1741/11059200], [[[1, 4], [2, 11], [4, 2], [6, 3]], 29707/358318080], [[[1, 4], [2, 11], [4, 3], [5, 1]], 23/29491200], [[[1, 4], [2, 11], [4, 3], [6, 2]], 23/589824], [[[1, 4], [2, 11], [4, 3], [8, 1]], 83/4423680], [[[1, 4], [2, 11], [4, 3], [10, 1]], 113/1474560], [[[1, 4], [2, 11], [4, 4], [6, 1]], 73/2359296], [[[1, 4], [2, 11], [6, 1], [10, 2]], 16511/82944000], [[[1, 4], [2, 11], [6, 3], [8, 1]], 2863/89579520], [[[1, 4], [2, 11], [6, 3], [10, 1]], 107597/447897600], [[[1, 4], [2, 13], [3, 1], [4, 3]], 7/11796480], [[[1, 4], [2, 13], [3, 1], [6, 3]], 444337/14332723200], [[[1, 4], [2, 13], [3, 2], [6, 2]], 2657/2388787200], [[[1, 4], [2, 13], [4, 1], [6, 3]], 12625/107495424], [[[1, 4], [2, 13], [4, 2], [6, 2]], 1810901/19110297600], [[[1, 4], [2, 13], [4, 2], [8, 1]], 31/23592960], [[[1, 4], [2, 13], [4, 2], [10, 1]], 215941/5308416000], [[[1, 4], [2, 13], [4, 3], [6, 1]], 331/10616832], [[[1, 4], [2, 13], [5, 1], [10, 1]], 1/11059200], [[[1, 4], [2, 13], [6, 2], [8, 1]], 5983/597196800], [[[1, 4], [2, 13], [6, 2], [10, 1]], 760981/5971968000], [[[1, 4], [2, 13], [8, 1], [10, 1]], 353/165888000], [[[1, 4], [2, 15], [3, 1], [4, 2]], 113/637009920], [[[1, 4], [2, 15], [3, 1], [6, 2]], 991/298598400], [[[1, 4], [2, 15], [3, 1], [10, 1]], 49/221184000], [[[1, 4], [2, 15], [3, 2], [6, 1]], 17/1194393600], [[[1, 4], [2, 15], [4, 1], [6, 2]], 10117/286654464], [[[1, 4], [2, 15], [4, 1], [8, 1]], 19/84934656], [[[1, 4], [2, 15], [4, 1], [10, 1]], 3109/398131200], [[[1, 4], [2, 15], [4, 2], [6, 1]], 288133/19110297600], [[[1, 4], [2, 15], [6, 1], [8, 1]], 4147/4777574400], [[[1, 4], [2, 15], [6, 1], [10, 1]], 101273/5971968000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 10217/429981696000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 3587/31850496000], [[[1, 4], [2, 17], [4, 1], [6, 1]], 16009/5733089280], [[[1, 5], [2, 2], [3, 3], [9, 2]], 1/3456], [[[1, 5], [2, 4], [3, 2], [4, 6]], 1/884736], [[[1, 5], [2, 4], [3, 2], [5, 3]], 1/144000], [[[1, 5], [2, 4], [3, 2], [9, 2]], 13/165888], [[[1, 5], [2, 4], [3, 3], [4, 5]], 1/165888], [[[1, 5], [2, 4], [3, 4], [5, 2]], 1/518400], [[[1, 5], [2, 4], [3, 6], [4, 2]], 1/35831808], [[[1, 5], [2, 4], [3, 6], [5, 1]], 1/5598720], [[[1, 5], [2, 4], [3, 6], [8, 1]], 1/2239488], [[[1, 5], [2, 4], [4, 2], [5, 3]], 1/768000], [[[1, 5], [2, 4], [4, 4], [8, 2]], 3/8192], [[[1, 5], [2, 4], [4, 5], [6, 3]], 1/331776], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1/245760], [[[1, 5], [2, 4], [4, 6], [6, 2]], 1/442368], [[[1, 5], [2, 4], [4, 6], [8, 1]], 1/16384], [[[1, 5], [2, 4], [4, 6], [10, 1]], 1/122880], [[[1, 5], [2, 4], [5, 2], [10, 2]], 3/4000], [[[1, 5], [2, 4], [5, 3], [8, 1]], 1/48000], [[[1, 5], [2, 4], [6, 2], [18, 2]], 1/165888], [[[1, 5], [2, 4], [6, 6], [8, 1]], 1/8957952], [[[1, 5], [2, 4], [8, 1], [10, 3]], 1/192000], [[[1, 5], [2, 6], [3, 1], [4, 6]], 25/884736], [[[1, 5], [2, 6], [3, 1], [5, 3]], 1/576000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 143/26873856], [[[1, 5], [2, 6], [3, 1], [10, 3]], 1/72000], [[[1, 5], [2, 6], [3, 2], [4, 5]], 7/221184], [[[1, 5], [2, 6], [3, 2], [6, 5]], 1/3888], [[[1, 5], [2, 6], [3, 3], [4, 4]], 5/331776], [[[1, 5], [2, 6], [3, 3], [5, 2]], 1/691200], [[[1, 5], [2, 6], [3, 3], [6, 4]], 1235/995328], [[[1, 5], [2, 6], [3, 4], [4, 3]], 1/5308416], [[[1, 5], [2, 6], [3, 4], [6, 3]], 329/497664], [[[1, 5], [2, 6], [3, 5], [5, 1]], 1/2488320], [[[1, 5], [2, 6], [3, 5], [6, 2]], 77/2985984], [[[1, 5], [2, 6], [3, 5], [8, 1]], 1/995328], [[[1, 5], [2, 6], [3, 6], [4, 1]], 5/53747712], [[[1, 5], [2, 6], [3, 6], [6, 1]], 7/3359232], [[[1, 5], [2, 6], [4, 1], [5, 3]], 23/1152000], [[[1, 5], [2, 6], [4, 1], [6, 6]], 5/11943936], [[[1, 5], [2, 6], [4, 1], [10, 3]], 1/10240], [[[1, 5], [2, 6], [4, 2], [6, 5]], 1/3981312], [[[1, 5], [2, 6], [4, 3], [5, 2]], 1/409600], [[[1, 5], [2, 6], [4, 3], [6, 4]], 5/5308416], [[[1, 5], [2, 6], [4, 3], [8, 2]], 85/98304], [[[1, 5], [2, 6], [4, 3], [10, 2]], 1/81920], [[[1, 5], [2, 6], [4, 4], [6, 3]], 5/165888], [[[1, 5], [2, 6], [4, 5], [5, 1]], 1/10240], [[[1, 5], [2, 6], [4, 5], [6, 2]], 1/27648], [[[1, 5], [2, 6], [4, 5], [8, 1]], 1069/1474560], [[[1, 5], [2, 6], [4, 5], [10, 1]], 19/184320], [[[1, 5], [2, 6], [4, 6], [6, 1]], 23/884736], [[[1, 5], [2, 6], [5, 3], [6, 1]], 1/288000], [[[1, 5], [2, 6], [6, 1], [10, 3]], 1/32000], [[[1, 5], [2, 6], [6, 3], [10, 2]], 7/345600], [[[1, 5], [2, 6], [6, 4], [18, 1]], 1/165888], [[[1, 5], [2, 6], [6, 5], [8, 1]], 13/2985984], [[[1, 5], [2, 6], [6, 5], [10, 1]], 1/248832], [[[1, 5], [2, 8], [3, 1], [4, 5]], 61/884736], [[[1, 5], [2, 8], [3, 1], [6, 5]], 32111/358318080], [[[1, 5], [2, 8], [3, 2], [4, 4]], 1049/35389440], [[[1, 5], [2, 8], [3, 2], [5, 2]], 1/11059200], [[[1, 5], [2, 8], [3, 2], [6, 4]], 2677/6635520], [[[1, 5], [2, 8], [3, 3], [6, 3]], 419/1244160], [[[1, 5], [2, 8], [3, 4], [4, 2]], 11/15925248], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1/39813120], [[[1, 5], [2, 8], [3, 4], [6, 2]], 169/3981312], [[[1, 5], [2, 8], [3, 4], [8, 1]], 1/7962624], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/2985984], [[[1, 5], [2, 8], [3, 5], [6, 1]], 7/2985984], [[[1, 5], [2, 8], [4, 1], [6, 5]], 55/2985984], [[[1, 5], [2, 8], [4, 2], [5, 2]], 23/1228800], [[[1, 5], [2, 8], [4, 2], [6, 4]], 187/10616832], [[[1, 5], [2, 8], [4, 2], [8, 2]], 181/737280], [[[1, 5], [2, 8], [4, 2], [10, 2]], 929/2457600], [[[1, 5], [2, 8], [4, 3], [6, 3]], 11/294912], [[[1, 5], [2, 8], [4, 4], [5, 1]], 9713/88473600], [[[1, 5], [2, 8], [4, 4], [6, 2]], 43/442368], [[[1, 5], [2, 8], [4, 4], [8, 1]], 17657/17694720], [[[1, 5], [2, 8], [4, 4], [10, 1]], 53/184320], [[[1, 5], [2, 8], [4, 5], [6, 1]], 1/10240], [[[1, 5], [2, 8], [5, 1], [10, 2]], 9/51200], [[[1, 5], [2, 8], [5, 2], [8, 1]], 1/614400], [[[1, 5], [2, 8], [5, 2], [10, 1]], 469/4608000], [[[1, 5], [2, 8], [6, 2], [10, 2]], 269/1382400], [[[1, 5], [2, 8], [6, 4], [8, 1]], 3551/119439360], [[[1, 5], [2, 8], [6, 4], [10, 1]], 11/155520], [[[1, 5], [2, 8], [8, 1], [10, 2]], 391/9216000], [[[1, 5], [2, 10], [3, 1], [4, 4]], 7/884736], [[[1, 5], [2, 10], [3, 1], [6, 4]], 3247/22394880], [[[1, 5], [2, 10], [3, 1], [10, 2]], 289/13824000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 89/26542080], [[[1, 5], [2, 10], [3, 2], [6, 3]], 7/55296], [[[1, 5], [2, 10], [3, 3], [4, 2]], 5/5308416], [[[1, 5], [2, 10], [3, 3], [6, 2]], 457/26542080], [[[1, 5], [2, 10], [3, 4], [4, 1]], 5/191102976], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1/2654208], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1/2949120], [[[1, 5], [2, 10], [4, 1], [6, 4]], 12077/95551488], [[[1, 5], [2, 10], [4, 1], [8, 2]], 17/1474560], [[[1, 5], [2, 10], [4, 1], [10, 2]], 131/491520], [[[1, 5], [2, 10], [4, 2], [6, 3]], 5603/39813120], [[[1, 5], [2, 10], [4, 3], [5, 1]], 41/2764800], [[[1, 5], [2, 10], [4, 3], [6, 2]], 349/3538944], [[[1, 5], [2, 10], [4, 3], [8, 1]], 11/46080], [[[1, 5], [2, 10], [4, 3], [10, 1]], 277/983040], [[[1, 5], [2, 10], [4, 4], [6, 1]], 919/7077888], [[[1, 5], [2, 10], [6, 1], [10, 2]], 6703/27648000], [[[1, 5], [2, 10], [6, 3], [8, 1]], 4957/89579520], [[[1, 5], [2, 10], [6, 3], [10, 1]], 4253/16588800], [[[1, 5], [2, 12], [3, 1], [4, 3]], 67/10616832], [[[1, 5], [2, 12], [3, 1], [6, 3]], 1931227/21499084800], [[[1, 5], [2, 12], [3, 2], [4, 2]], 67/424673280], [[[1, 5], [2, 12], [3, 2], [6, 2]], 8971/796262400], [[[1, 5], [2, 12], [3, 3], [6, 1]], 7/106168320], [[[1, 5], [2, 12], [4, 1], [6, 3]], 415/1769472], [[[1, 5], [2, 12], [4, 2], [5, 1]], 67/117964800], [[[1, 5], [2, 12], [4, 2], [6, 2]], 15647/63700992], [[[1, 5], [2, 12], [4, 2], [8, 1]], 1241/70778880], [[[1, 5], [2, 12], [4, 2], [10, 1]], 12127/88473600], [[[1, 5], [2, 12], [4, 3], [6, 1]], 13829/106168320], [[[1, 5], [2, 12], [5, 1], [10, 1]], 13/5529600], [[[1, 5], [2, 12], [6, 2], [8, 1]], 67483/2388787200], [[[1, 5], [2, 12], [6, 2], [10, 1]], 89621/398131200], [[[1, 5], [2, 12], [8, 1], [10, 1]], 5003/663552000], [[[1, 5], [2, 14], [3, 1], [4, 2]], 1031/637009920], [[[1, 5], [2, 14], [3, 1], [6, 2]], 112181/7166361600], [[[1, 5], [2, 14], [3, 1], [10, 1]], 353/248832000], [[[1, 5], [2, 14], [3, 2], [6, 1]], 49/265420800], [[[1, 5], [2, 14], [4, 1], [6, 2]], 104989/955514880], [[[1, 5], [2, 14], [4, 1], [8, 1]], 677/424673280], [[[1, 5], [2, 14], [4, 1], [10, 1]], 547/17694720], [[[1, 5], [2, 14], [4, 2], [6, 1]], 139157/2123366400], [[[1, 5], [2, 14], [6, 1], [8, 1]], 9239/2388787200], [[[1, 5], [2, 14], [6, 1], [10, 1]], 47947/995328000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 200971/859963392000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 961723/1146617856000], [[[1, 5], [2, 16], [4, 1], [6, 1]], 51493/3822059520], [[[1, 5], [3, 2], [4, 2], [9, 2]], 1/13824], [[[1, 5], [3, 2], [5, 1], [9, 2]], 1/2160], [[[1, 5], [3, 2], [5, 2], [15, 1]], 1/600], [[[1, 6], [2, 1], [3, 3], [9, 2]], 1/3456], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/36000], [[[1, 6], [2, 3], [3, 2], [9, 2]], 13/82944], [[[1, 6], [2, 3], [3, 3], [4, 5]], 1/331776], [[[1, 6], [2, 3], [3, 4], [5, 2]], 1/129600], [[[1, 6], [2, 3], [3, 5], [9, 1]], 1/10368], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/8957952], [[[1, 6], [2, 3], [3, 6], [5, 1]], 1/1399680], [[[1, 6], [2, 3], [3, 6], [8, 1]], 1/1492992], [[[1, 6], [2, 3], [4, 2], [5, 3]], 1/192000], [[[1, 6], [2, 3], [4, 4], [8, 2]], 1/8192], [[[1, 6], [2, 3], [4, 6], [6, 2]], 1/884736], [[[1, 6], [2, 3], [4, 6], [8, 1]], 3/65536], [[[1, 6], [2, 3], [4, 6], [10, 1]], 1/245760], [[[1, 6], [2, 3], [5, 2], [10, 2]], 1/4000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 1/32000], [[[1, 6], [2, 5], [3, 1], [4, 6]], 23/884736], [[[1, 6], [2, 5], [3, 1], [5, 3]], 1/32000], [[[1, 6], [2, 5], [3, 1], [6, 6]], 7/3359232], [[[1, 6], [2, 5], [3, 1], [10, 3]], 1/288000], [[[1, 6], [2, 5], [3, 2], [4, 5]], 1/27648], [[[1, 6], [2, 5], [3, 2], [6, 5]], 77/2985984], [[[1, 6], [2, 5], [3, 3], [4, 4]], 5/165888], [[[1, 6], [2, 5], [3, 3], [5, 2]], 7/345600], [[[1, 6], [2, 5], [3, 3], [6, 4]], 329/497664], [[[1, 6], [2, 5], [3, 4], [4, 3]], 5/5308416], [[[1, 6], [2, 5], [3, 4], [6, 3]], 1235/995328], [[[1, 6], [2, 5], [3, 4], [9, 1]], 1/165888], [[[1, 6], [2, 5], [3, 5], [4, 2]], 1/3981312], [[[1, 6], [2, 5], [3, 5], [5, 1]], 1/248832], [[[1, 6], [2, 5], [3, 5], [6, 2]], 1/3888], [[[1, 6], [2, 5], [3, 5], [8, 1]], 13/2985984], [[[1, 6], [2, 5], [3, 6], [4, 1]], 5/11943936], [[[1, 6], [2, 5], [3, 6], [6, 1]], 143/26873856], [[[1, 6], [2, 5], [4, 1], [5, 3]], 1/10240], [[[1, 6], [2, 5], [4, 1], [6, 6]], 5/53747712], [[[1, 6], [2, 5], [4, 1], [10, 3]], 23/1152000], [[[1, 6], [2, 5], [4, 3], [5, 2]], 1/81920], [[[1, 6], [2, 5], [4, 3], [6, 4]], 1/5308416], [[[1, 6], [2, 5], [4, 3], [8, 2]], 85/98304], [[[1, 6], [2, 5], [4, 3], [10, 2]], 1/409600], [[[1, 6], [2, 5], [4, 4], [6, 3]], 5/331776], [[[1, 6], [2, 5], [4, 5], [5, 1]], 19/184320], [[[1, 6], [2, 5], [4, 5], [6, 2]], 7/221184], [[[1, 6], [2, 5], [4, 5], [8, 1]], 1069/1474560], [[[1, 6], [2, 5], [4, 5], [10, 1]], 1/10240], [[[1, 6], [2, 5], [4, 6], [6, 1]], 25/884736], [[[1, 6], [2, 5], [5, 3], [6, 1]], 1/72000], [[[1, 6], [2, 5], [6, 1], [10, 3]], 1/576000], [[[1, 6], [2, 5], [6, 3], [10, 2]], 1/691200], [[[1, 6], [2, 5], [6, 5], [8, 1]], 1/995328], [[[1, 6], [2, 5], [6, 5], [10, 1]], 1/2488320], [[[1, 6], [2, 7], [3, 1], [4, 5]], 179/884736], [[[1, 6], [2, 7], [3, 1], [6, 5]], 3791/89579520], [[[1, 6], [2, 7], [3, 2], [4, 4]], 1223/10616832], [[[1, 6], [2, 7], [3, 2], [5, 2]], 1/138240], [[[1, 6], [2, 7], [3, 2], [6, 4]], 42589/119439360], [[[1, 6], [2, 7], [3, 3], [4, 3]], 67/2654208], [[[1, 6], [2, 7], [3, 3], [6, 3]], 5167/7962624], [[[1, 6], [2, 7], [3, 4], [4, 2]], 37/10616832], [[[1, 6], [2, 7], [3, 4], [5, 1]], 1/331776], [[[1, 6], [2, 7], [3, 4], [6, 2]], 121/746496], [[[1, 6], [2, 7], [3, 4], [8, 1]], 31/7962624], [[[1, 6], [2, 7], [3, 5], [4, 1]], 47/17915904], [[[1, 6], [2, 7], [3, 5], [6, 1]], 59/3981312], [[[1, 6], [2, 7], [4, 1], [6, 5]], 167/17915904], [[[1, 6], [2, 7], [4, 2], [5, 2]], 17/163840], [[[1, 6], [2, 7], [4, 2], [6, 4]], 107/10616832], [[[1, 6], [2, 7], [4, 2], [8, 2]], 31/49152], [[[1, 6], [2, 7], [4, 2], [10, 2]], 219/819200], [[[1, 6], [2, 7], [4, 3], [6, 3]], 1/18432], [[[1, 6], [2, 7], [4, 4], [5, 1]], 14633/44236800], [[[1, 6], [2, 7], [4, 4], [6, 2]], 3445/21233664], [[[1, 6], [2, 7], [4, 4], [8, 1]], 5371/2949120], [[[1, 6], [2, 7], [4, 4], [10, 1]], 497/1179648], [[[1, 6], [2, 7], [4, 5], [6, 1]], 47/221184], [[[1, 6], [2, 7], [5, 1], [10, 2]], 103/307200], [[[1, 6], [2, 7], [5, 2], [8, 1]], 7/614400], [[[1, 6], [2, 7], [5, 2], [10, 1]], 317/1152000], [[[1, 6], [2, 7], [6, 2], [10, 2]], 169/2764800], [[[1, 6], [2, 7], [6, 4], [8, 1]], 131/7962624], [[[1, 6], [2, 7], [6, 4], [10, 1]], 77/3317760], [[[1, 6], [2, 7], [8, 1], [10, 2]], 19/614400], [[[1, 6], [2, 9], [3, 1], [4, 4]], 19619/106168320], [[[1, 6], [2, 9], [3, 1], [5, 2]], 1/1228800], [[[1, 6], [2, 9], [3, 1], [6, 4]], 7499/44789760], [[[1, 6], [2, 9], [3, 1], [10, 2]], 391/13824000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 4421/106168320], [[[1, 6], [2, 9], [3, 2], [6, 3]], 10729/39813120], [[[1, 6], [2, 9], [3, 3], [4, 2]], 35/3981312], [[[1, 6], [2, 9], [3, 3], [5, 1]], 1/2211840], [[[1, 6], [2, 9], [3, 3], [6, 2]], 7/61440], [[[1, 6], [2, 9], [3, 3], [8, 1]], 1/1327104], [[[1, 6], [2, 9], [3, 4], [4, 1]], 413/191102976], [[[1, 6], [2, 9], [3, 4], [6, 1]], 59/7962624], [[[1, 6], [2, 9], [4, 1], [5, 2]], 5/589824], [[[1, 6], [2, 9], [4, 1], [6, 4]], 151247/1433272320], [[[1, 6], [2, 9], [4, 1], [8, 2]], 91/1474560], [[[1, 6], [2, 9], [4, 1], [10, 2]], 29551/110592000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 6443/39813120], [[[1, 6], [2, 9], [4, 3], [5, 1]], 15611/88473600], [[[1, 6], [2, 9], [4, 3], [6, 2]], 1973/8847360], [[[1, 6], [2, 9], [4, 3], [8, 1]], 3601/3686400], [[[1, 6], [2, 9], [4, 3], [10, 1]], 1493/2457600], [[[1, 6], [2, 9], [4, 4], [6, 1]], 7843/21233664], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/921600], [[[1, 6], [2, 9], [6, 1], [10, 2]], 301/1728000], [[[1, 6], [2, 9], [6, 3], [8, 1]], 553/9953280], [[[1, 6], [2, 9], [6, 3], [10, 1]], 511/3110400], [[[1, 6], [2, 11], [3, 1], [4, 3]], 67/1769472], [[[1, 6], [2, 11], [3, 1], [6, 3]], 724733/4299816960], [[[1, 6], [2, 11], [3, 2], [4, 2]], 41/7864320], [[[1, 6], [2, 11], [3, 2], [5, 1]], 1/53084160], [[[1, 6], [2, 11], [3, 2], [6, 2]], 648143/9555148800], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1/21233664], [[[1, 6], [2, 11], [3, 3], [4, 1]], 11/31850496], [[[1, 6], [2, 11], [3, 3], [6, 1]], 83/35389440], [[[1, 6], [2, 11], [4, 1], [6, 3]], 160847/537477120], [[[1, 6], [2, 11], [4, 2], [5, 1]], 2189/176947200], [[[1, 6], [2, 11], [4, 2], [6, 2]], 21679/53084160], [[[1, 6], [2, 11], [4, 2], [8, 1]], 8351/70778880], [[[1, 6], [2, 11], [4, 2], [10, 1]], 2651/8847360], [[[1, 6], [2, 11], [4, 3], [6, 1]], 37669/106168320], [[[1, 6], [2, 11], [5, 1], [8, 1]], 1/5898240], [[[1, 6], [2, 11], [5, 1], [10, 1]], 23/1228800], [[[1, 6], [2, 11], [6, 2], [8, 1]], 767/15925248], [[[1, 6], [2, 11], [6, 2], [10, 1]], 100403/398131200], [[[1, 6], [2, 11], [8, 1], [10, 1]], 347/22118400], [[[1, 6], [2, 13], [3, 1], [4, 2]], 11597/1274019840], [[[1, 6], [2, 13], [3, 1], [6, 2]], 337847/7166361600], [[[1, 6], [2, 13], [3, 1], [10, 1]], 5003/995328000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 19/530841600], [[[1, 6], [2, 13], [3, 2], [6, 1]], 3649/2388787200], [[[1, 6], [2, 13], [4, 1], [5, 1]], 19/147456000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 785009/3583180800], [[[1, 6], [2, 13], [4, 1], [8, 1]], 5477/707788800], [[[1, 6], [2, 13], [4, 1], [10, 1]], 74791/995328000], [[[1, 6], [2, 13], [4, 2], [6, 1]], 189437/1061683200], [[[1, 6], [2, 13], [6, 1], [8, 1]], 8473/796262400], [[[1, 6], [2, 13], [6, 1], [10, 1]], 2449/27648000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 26359/19110297600], [[[1, 6], [2, 15], [3, 1], [6, 1]], 173149/45864714240], [[[1, 6], [2, 15], [4, 1], [6, 1]], 2379523/57330892800], [[[1, 7], [2, 2], [3, 2], [5, 3]], 1/24000], [[[1, 7], [2, 2], [3, 2], [9, 2]], 1/9216], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/86400], [[[1, 7], [2, 2], [3, 5], [9, 1]], 1/3456], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/5971968], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/933120], [[[1, 7], [2, 2], [3, 6], [8, 1]], 43/5598720], [[[1, 7], [2, 2], [4, 2], [5, 3]], 1/128000], [[[1, 7], [2, 2], [4, 6], [8, 1]], 1/65536], [[[1, 7], [2, 2], [5, 3], [8, 1]], 1/48000], [[[1, 7], [2, 4], [3, 1], [4, 6]], 7/884736], [[[1, 7], [2, 4], [3, 1], [5, 3]], 67/576000], [[[1, 7], [2, 4], [3, 1], [6, 6]], 1/2985984], [[[1, 7], [2, 4], [3, 2], [4, 5]], 1/55296], [[[1, 7], [2, 4], [3, 2], [6, 5]], 5/746496], [[[1, 7], [2, 4], [3, 3], [4, 4]], 5/331776], [[[1, 7], [2, 4], [3, 3], [5, 2]], 149/2073600], [[[1, 7], [2, 4], [3, 3], [6, 4]], 11/110592], [[[1, 7], [2, 4], [3, 4], [4, 3]], 5/2654208], [[[1, 7], [2, 4], [3, 4], [6, 3]], 71/82944], [[[1, 7], [2, 4], [3, 4], [9, 1]], 13/165888], [[[1, 7], [2, 4], [3, 5], [4, 2]], 13/11943936], [[[1, 7], [2, 4], [3, 5], [5, 1]], 97/7464960], [[[1, 7], [2, 4], [3, 5], [6, 2]], 9097/14929920], [[[1, 7], [2, 4], [3, 5], [8, 1]], 11/1492992], [[[1, 7], [2, 4], [3, 6], [4, 1]], 103/67184640], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/21870], [[[1, 7], [2, 4], [4, 1], [5, 3]], 23/115200], [[[1, 7], [2, 4], [4, 1], [6, 6]], 1/107495424], [[[1, 7], [2, 4], [4, 1], [10, 3]], 1/2304000], [[[1, 7], [2, 4], [4, 3], [5, 2]], 1/40960], [[[1, 7], [2, 4], [4, 3], [8, 2]], 451/1474560], [[[1, 7], [2, 4], [4, 5], [5, 1]], 11/184320], [[[1, 7], [2, 4], [4, 5], [6, 2]], 1/98304], [[[1, 7], [2, 4], [4, 5], [8, 1]], 319/737280], [[[1, 7], [2, 4], [4, 5], [10, 1]], 3/81920], [[[1, 7], [2, 4], [4, 6], [6, 1]], 1/98304], [[[1, 7], [2, 4], [5, 3], [6, 1]], 1/48000], [[[1, 7], [2, 6], [3, 1], [4, 5]], 47/221184], [[[1, 7], [2, 6], [3, 1], [6, 5]], 59/3981312], [[[1, 7], [2, 6], [3, 2], [4, 4]], 3445/21233664], [[[1, 7], [2, 6], [3, 2], [5, 2]], 169/2764800], [[[1, 7], [2, 6], [3, 2], [6, 4]], 121/746496], [[[1, 7], [2, 6], [3, 3], [4, 3]], 1/18432], [[[1, 7], [2, 6], [3, 3], [6, 3]], 5167/7962624], [[[1, 7], [2, 6], [3, 4], [4, 2]], 107/10616832], [[[1, 7], [2, 6], [3, 4], [5, 1]], 77/3317760], [[[1, 7], [2, 6], [3, 4], [6, 2]], 42589/119439360], [[[1, 7], [2, 6], [3, 4], [8, 1]], 131/7962624], [[[1, 7], [2, 6], [3, 5], [4, 1]], 167/17915904], [[[1, 7], [2, 6], [3, 5], [6, 1]], 3791/89579520], [[[1, 7], [2, 6], [4, 1], [6, 5]], 47/17915904], [[[1, 7], [2, 6], [4, 2], [5, 2]], 219/819200], [[[1, 7], [2, 6], [4, 2], [6, 4]], 37/10616832], [[[1, 7], [2, 6], [4, 2], [8, 2]], 31/49152], [[[1, 7], [2, 6], [4, 2], [10, 2]], 17/163840], [[[1, 7], [2, 6], [4, 3], [6, 3]], 67/2654208], [[[1, 7], [2, 6], [4, 4], [5, 1]], 497/1179648], [[[1, 7], [2, 6], [4, 4], [6, 2]], 1223/10616832], [[[1, 7], [2, 6], [4, 4], [8, 1]], 5371/2949120], [[[1, 7], [2, 6], [4, 4], [10, 1]], 14633/44236800], [[[1, 7], [2, 6], [4, 5], [6, 1]], 179/884736], [[[1, 7], [2, 6], [5, 1], [10, 2]], 317/1152000], [[[1, 7], [2, 6], [5, 2], [8, 1]], 19/614400], [[[1, 7], [2, 6], [5, 2], [10, 1]], 103/307200], [[[1, 7], [2, 6], [6, 2], [10, 2]], 1/138240], [[[1, 7], [2, 6], [6, 4], [8, 1]], 31/7962624], [[[1, 7], [2, 6], [6, 4], [10, 1]], 1/331776], [[[1, 7], [2, 6], [8, 1], [10, 2]], 7/614400], [[[1, 7], [2, 8], [3, 1], [4, 4]], 57223/106168320], [[[1, 7], [2, 8], [3, 1], [5, 2]], 151/11059200], [[[1, 7], [2, 8], [3, 1], [6, 4]], 2437/19906560], [[[1, 7], [2, 8], [3, 1], [10, 2]], 19/921600], [[[1, 7], [2, 8], [3, 2], [4, 3]], 521/2949120], [[[1, 7], [2, 8], [3, 2], [6, 3]], 13879/39813120], [[[1, 7], [2, 8], [3, 3], [4, 2]], 1417/26542080], [[[1, 7], [2, 8], [3, 3], [5, 1]], 199/19906560], [[[1, 7], [2, 8], [3, 3], [6, 2]], 229/829440], [[[1, 7], [2, 8], [3, 3], [8, 1]], 17/1990656], [[[1, 7], [2, 8], [3, 4], [4, 1]], 757/47775744], [[[1, 7], [2, 8], [3, 4], [6, 1]], 193/3981312], [[[1, 7], [2, 8], [4, 1], [5, 2]], 197/3686400], [[[1, 7], [2, 8], [4, 1], [6, 4]], 38653/716636160], [[[1, 7], [2, 8], [4, 1], [8, 2]], 13/98304], [[[1, 7], [2, 8], [4, 1], [10, 2]], 8813/55296000], [[[1, 7], [2, 8], [4, 2], [6, 3]], 5011/39813120], [[[1, 7], [2, 8], [4, 3], [5, 1]], 11773/22118400], [[[1, 7], [2, 8], [4, 3], [6, 2]], 15449/53084160], [[[1, 7], [2, 8], [4, 3], [8, 1]], 10297/5529600], [[[1, 7], [2, 8], [4, 3], [10, 1]], 11189/14745600], [[[1, 7], [2, 8], [4, 4], [6, 1]], 7411/11796480], [[[1, 7], [2, 8], [5, 2], [6, 1]], 7/921600], [[[1, 7], [2, 8], [6, 1], [10, 2]], 97/1382400], [[[1, 7], [2, 8], [6, 3], [8, 1]], 31/995328], [[[1, 7], [2, 8], [6, 3], [10, 1]], 49/829440], [[[1, 7], [2, 10], [3, 1], [4, 3]], 28193/106168320], [[[1, 7], [2, 10], [3, 1], [6, 3]], 107023/477757440], [[[1, 7], [2, 10], [3, 2], [4, 2]], 4561/106168320], [[[1, 7], [2, 10], [3, 2], [5, 1]], 83/53084160], [[[1, 7], [2, 10], [3, 2], [6, 2]], 1965497/9555148800], [[[1, 7], [2, 10], [3, 2], [8, 1]], 17/10616832], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1/2073600], [[[1, 7], [2, 10], [3, 3], [4, 1]], 41/5971968], [[[1, 7], [2, 10], [3, 3], [6, 1]], 5761/318504960], [[[1, 7], [2, 10], [4, 1], [6, 3]], 539519/2149908480], [[[1, 7], [2, 10], [4, 2], [5, 1]], 8981/88473600], [[[1, 7], [2, 10], [4, 2], [6, 2]], 17237/35389440], [[[1, 7], [2, 10], [4, 2], [8, 1]], 76771/176947200], [[[1, 7], [2, 10], [4, 2], [10, 1]], 41137/88473600], [[[1, 7], [2, 10], [4, 3], [6, 1]], 2309/3317760], [[[1, 7], [2, 10], [5, 1], [8, 1]], 1/589824], [[[1, 7], [2, 10], [5, 1], [10, 1]], 769/11059200], [[[1, 7], [2, 10], [6, 2], [8, 1]], 893/17694720], [[[1, 7], [2, 10], [6, 2], [10, 1]], 4711/26542080], [[[1, 7], [2, 10], [8, 1], [10, 1]], 37/1769472], [[[1, 7], [2, 12], [3, 1], [4, 2]], 247577/6370099200], [[[1, 7], [2, 12], [3, 1], [5, 1]], 1/8847360], [[[1, 7], [2, 12], [3, 1], [6, 2]], 40423/398131200], [[[1, 7], [2, 12], [3, 1], [8, 1]], 1/7077888], [[[1, 7], [2, 12], [3, 1], [10, 1]], 347/33177600], [[[1, 7], [2, 12], [3, 2], [4, 1]], 409/265420800], [[[1, 7], [2, 12], [3, 2], [6, 1]], 13223/1194393600], [[[1, 7], [2, 12], [4, 1], [5, 1]], 2009/663552000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 1048661/3583180800], [[[1, 7], [2, 12], [4, 1], [8, 1]], 20831/707788800], [[[1, 7], [2, 12], [4, 1], [10, 1]], 121321/995328000], [[[1, 7], [2, 12], [4, 2], [6, 1]], 40271/117964800], [[[1, 7], [2, 12], [5, 1], [6, 1]], 7/14745600], [[[1, 7], [2, 12], [6, 1], [8, 1]], 3007/159252480], [[[1, 7], [2, 12], [6, 1], [10, 1]], 7103/66355200], [[[1, 7], [2, 14], [3, 1], [4, 1]], 98947/19110297600], [[[1, 7], [2, 14], [3, 1], [6, 1]], 288811/25480396800], [[[1, 7], [2, 14], [4, 1], [6, 1]], 4943647/57330892800], [[[1, 7], [3, 3], [5, 1], [15, 1]], 1/2880], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1/13824], [[[1, 7], [3, 4], [5, 1], [9, 1]], 1/2160], [[[1, 8], [2, 1], [3, 2], [5, 3]], 1/36000], [[[1, 8], [2, 1], [3, 2], [9, 2]], 7/276480], [[[1, 8], [2, 1], [3, 4], [5, 2]], 1/129600], [[[1, 8], [2, 1], [3, 5], [9, 1]], 1/3456], [[[1, 8], [2, 1], [3, 6], [4, 2]], 43/22394880], [[[1, 8], [2, 1], [3, 6], [5, 1]], 43/3499200], [[[1, 8], [2, 1], [3, 6], [8, 1]], 329/44789760], [[[1, 8], [2, 1], [4, 2], [5, 3]], 1/192000], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/192000], [[[1, 8], [2, 3], [3, 1], [5, 3]], 3/16000], [[[1, 8], [2, 3], [3, 2], [4, 5]], 1/294912], [[[1, 8], [2, 3], [3, 2], [6, 5]], 1/995328], [[[1, 8], [2, 3], [3, 3], [5, 2]], 59/518400], [[[1, 8], [2, 3], [3, 3], [6, 4]], 1/82944], [[[1, 8], [2, 3], [3, 4], [4, 3]], 5/2654208], [[[1, 8], [2, 3], [3, 4], [6, 3]], 67/331776], [[[1, 8], [2, 3], [3, 4], [9, 1]], 13/82944], [[[1, 8], [2, 3], [3, 5], [4, 2]], 11/5971968], [[[1, 8], [2, 3], [3, 5], [5, 1]], 37/1866240], [[[1, 8], [2, 3], [3, 5], [6, 2]], 1933/3732480], [[[1, 8], [2, 3], [3, 5], [8, 1]], 1/165888], [[[1, 8], [2, 3], [3, 6], [4, 1]], 2843/537477120], [[[1, 8], [2, 3], [3, 6], [6, 1]], 3383/26873856], [[[1, 8], [2, 3], [4, 1], [5, 3]], 19/92160], [[[1, 8], [2, 3], [4, 3], [5, 2]], 1/40960], [[[1, 8], [2, 3], [4, 3], [8, 2]], 17/1474560], [[[1, 8], [2, 3], [4, 5], [5, 1]], 13/737280], [[[1, 8], [2, 3], [4, 5], [8, 1]], 169/1474560], [[[1, 8], [2, 3], [5, 3], [6, 1]], 1/72000], [[[1, 8], [2, 5], [3, 1], [4, 5]], 1/10240], [[[1, 8], [2, 5], [3, 1], [6, 5]], 7/2985984], [[[1, 8], [2, 5], [3, 2], [4, 4]], 43/442368], [[[1, 8], [2, 5], [3, 2], [5, 2]], 269/1382400], [[[1, 8], [2, 5], [3, 2], [6, 4]], 169/3981312], [[[1, 8], [2, 5], [3, 3], [4, 3]], 11/294912], [[[1, 8], [2, 5], [3, 3], [6, 3]], 419/1244160], [[[1, 8], [2, 5], [3, 4], [4, 2]], 187/10616832], [[[1, 8], [2, 5], [3, 4], [5, 1]], 11/155520], [[[1, 8], [2, 5], [3, 4], [6, 2]], 2677/6635520], [[[1, 8], [2, 5], [3, 4], [8, 1]], 3551/119439360], [[[1, 8], [2, 5], [3, 5], [4, 1]], 55/2985984], [[[1, 8], [2, 5], [3, 5], [6, 1]], 32111/358318080], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/2985984], [[[1, 8], [2, 5], [4, 2], [5, 2]], 929/2457600], [[[1, 8], [2, 5], [4, 2], [6, 4]], 11/15925248], [[[1, 8], [2, 5], [4, 2], [8, 2]], 181/737280], [[[1, 8], [2, 5], [4, 2], [10, 2]], 23/1228800], [[[1, 8], [2, 5], [4, 4], [5, 1]], 53/184320], [[[1, 8], [2, 5], [4, 4], [6, 2]], 1049/35389440], [[[1, 8], [2, 5], [4, 4], [8, 1]], 17657/17694720], [[[1, 8], [2, 5], [4, 4], [10, 1]], 9713/88473600], [[[1, 8], [2, 5], [4, 5], [6, 1]], 61/884736], [[[1, 8], [2, 5], [5, 1], [10, 2]], 469/4608000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 391/9216000], [[[1, 8], [2, 5], [5, 2], [10, 1]], 9/51200], [[[1, 8], [2, 5], [6, 2], [10, 2]], 1/11059200], [[[1, 8], [2, 5], [6, 4], [8, 1]], 1/7962624], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1/39813120], [[[1, 8], [2, 5], [8, 1], [10, 2]], 1/614400], [[[1, 8], [2, 7], [3, 1], [4, 4]], 7411/11796480], [[[1, 8], [2, 7], [3, 1], [5, 2]], 97/1382400], [[[1, 8], [2, 7], [3, 1], [6, 4]], 193/3981312], [[[1, 8], [2, 7], [3, 1], [10, 2]], 7/921600], [[[1, 8], [2, 7], [3, 2], [4, 3]], 15449/53084160], [[[1, 8], [2, 7], [3, 2], [6, 3]], 229/829440], [[[1, 8], [2, 7], [3, 3], [4, 2]], 5011/39813120], [[[1, 8], [2, 7], [3, 3], [5, 1]], 49/829440], [[[1, 8], [2, 7], [3, 3], [6, 2]], 13879/39813120], [[[1, 8], [2, 7], [3, 3], [8, 1]], 31/995328], [[[1, 8], [2, 7], [3, 4], [4, 1]], 38653/716636160], [[[1, 8], [2, 7], [3, 4], [6, 1]], 2437/19906560], [[[1, 8], [2, 7], [4, 1], [5, 2]], 8813/55296000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 757/47775744], [[[1, 8], [2, 7], [4, 1], [8, 2]], 13/98304], [[[1, 8], [2, 7], [4, 1], [10, 2]], 197/3686400], [[[1, 8], [2, 7], [4, 2], [6, 3]], 1417/26542080], [[[1, 8], [2, 7], [4, 3], [5, 1]], 11189/14745600], [[[1, 8], [2, 7], [4, 3], [6, 2]], 521/2949120], [[[1, 8], [2, 7], [4, 3], [8, 1]], 10297/5529600], [[[1, 8], [2, 7], [4, 3], [10, 1]], 11773/22118400], [[[1, 8], [2, 7], [4, 4], [6, 1]], 57223/106168320], [[[1, 8], [2, 7], [5, 2], [6, 1]], 19/921600], [[[1, 8], [2, 7], [6, 1], [10, 2]], 151/11059200], [[[1, 8], [2, 7], [6, 3], [8, 1]], 17/1990656], [[[1, 8], [2, 7], [6, 3], [10, 1]], 199/19906560], [[[1, 8], [2, 9], [3, 1], [4, 3]], 5045/7077888], [[[1, 8], [2, 9], [3, 1], [6, 3]], 92321/477757440], [[[1, 8], [2, 9], [3, 2], [4, 2]], 13447/70778880], [[[1, 8], [2, 9], [3, 2], [5, 1]], 901/53084160], [[[1, 8], [2, 9], [3, 2], [6, 2]], 138269/398131200], [[[1, 8], [2, 9], [3, 2], [8, 1]], 1157/106168320], [[[1, 8], [2, 9], [3, 2], [10, 1]], 1/1036800], [[[1, 8], [2, 9], [3, 3], [4, 1]], 21547/477757440], [[[1, 8], [2, 9], [3, 3], [6, 1]], 85201/955514880], [[[1, 8], [2, 9], [4, 1], [6, 3]], 8219/59719680], [[[1, 8], [2, 9], [4, 2], [5, 1]], 54979/176947200], [[[1, 8], [2, 9], [4, 2], [6, 2]], 56653/141557760], [[[1, 8], [2, 9], [4, 2], [8, 1]], 145633/176947200], [[[1, 8], [2, 9], [4, 2], [10, 1]], 172861/353894400], [[[1, 8], [2, 9], [4, 3], [6, 1]], 24517/26542080], [[[1, 8], [2, 9], [5, 1], [6, 2]], 1/2073600], [[[1, 8], [2, 9], [5, 1], [8, 1]], 79/9830400], [[[1, 8], [2, 9], [5, 1], [10, 1]], 289/2211840], [[[1, 8], [2, 9], [6, 2], [8, 1]], 421/13271040], [[[1, 8], [2, 9], [6, 2], [10, 1]], 6629/88473600], [[[1, 8], [2, 9], [8, 1], [10, 1]], 193/11059200], [[[1, 8], [2, 11], [3, 1], [4, 2]], 2123/13271040], [[[1, 8], [2, 11], [3, 1], [5, 1]], 53/26542080], [[[1, 8], [2, 11], [3, 1], [6, 2]], 78821/477757440], [[[1, 8], [2, 11], [3, 1], [8, 1]], 31/21233664], [[[1, 8], [2, 11], [3, 1], [10, 1]], 997/66355200], [[[1, 8], [2, 11], [3, 2], [4, 1]], 79/5529600], [[[1, 8], [2, 11], [3, 2], [6, 1]], 2051/39813120], [[[1, 8], [2, 11], [4, 1], [5, 1]], 7277/331776000], [[[1, 8], [2, 11], [4, 1], [6, 2]], 409/1492992], [[[1, 8], [2, 11], [4, 1], [8, 1]], 174757/2123366400], [[[1, 8], [2, 11], [4, 1], [10, 1]], 4789/33177600], [[[1, 8], [2, 11], [4, 2], [6, 1]], 3195967/6370099200], [[[1, 8], [2, 11], [5, 1], [6, 1]], 203/66355200], [[[1, 8], [2, 11], [6, 1], [8, 1]], 3547/159252480], [[[1, 8], [2, 11], [6, 1], [10, 1]], 34001/398131200], [[[1, 8], [2, 13], [3, 1], [4, 1]], 284827/19110297600], [[[1, 8], [2, 13], [3, 1], [6, 1]], 43939/1698693120], [[[1, 8], [2, 13], [4, 1], [6, 1]], 2458853/19110297600], [[[1, 9], [2, 2], [3, 1], [5, 3]], 29/192000], [[[1, 9], [2, 2], [3, 3], [5, 2]], 7/76800], [[[1, 9], [2, 2], [3, 3], [6, 4]], 1/995328], [[[1, 9], [2, 2], [3, 4], [4, 3]], 5/5308416], [[[1, 9], [2, 2], [3, 4], [6, 3]], 7/497664], [[[1, 9], [2, 2], [3, 4], [9, 1]], 1/9216], [[[1, 9], [2, 2], [3, 5], [4, 2]], 1/663552], [[[1, 9], [2, 2], [3, 5], [5, 1]], 13/829440], [[[1, 9], [2, 2], [3, 5], [6, 2]], 145/995328], [[[1, 9], [2, 2], [3, 5], [8, 1]], 7/2985984], [[[1, 9], [2, 2], [3, 6], [4, 1]], 1189/89579520], [[[1, 9], [2, 2], [3, 6], [6, 1]], 103/839808], [[[1, 9], [2, 2], [4, 1], [5, 3]], 41/384000], [[[1, 9], [2, 2], [4, 3], [5, 2]], 1/81920], [[[1, 9], [2, 2], [4, 3], [8, 2]], 1/1474560], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/288000], [[[1, 9], [2, 4], [3, 1], [4, 5]], 11/491520], [[[1, 9], [2, 4], [3, 1], [6, 5]], 1/47775744], [[[1, 9], [2, 4], [3, 2], [4, 4]], 163/7077888], [[[1, 9], [2, 4], [3, 2], [5, 2]], 8629/27648000], [[[1, 9], [2, 4], [3, 2], [6, 4]], 37/6635520], [[[1, 9], [2, 4], [3, 3], [4, 3]], 5/331776], [[[1, 9], [2, 4], [3, 3], [6, 3]], 83/995328], [[[1, 9], [2, 4], [3, 4], [4, 2]], 8981/477757440], [[[1, 9], [2, 4], [3, 4], [5, 1]], 33323/298598400], [[[1, 9], [2, 4], [3, 4], [6, 2]], 13007/59719680], [[[1, 9], [2, 4], [3, 4], [8, 1]], 3329/119439360], [[[1, 9], [2, 4], [3, 5], [4, 1]], 95/4478976], [[[1, 9], [2, 4], [3, 5], [6, 1]], 335/2985984], [[[1, 9], [2, 4], [4, 2], [5, 2]], 11221/36864000], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/15925248], [[[1, 9], [2, 4], [4, 2], [8, 2]], 17/737280], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/1228800], [[[1, 9], [2, 4], [4, 4], [5, 1]], 569/5898240], [[[1, 9], [2, 4], [4, 4], [6, 2]], 11/26542080], [[[1, 9], [2, 4], [4, 4], [8, 1]], 4319/17694720], [[[1, 9], [2, 4], [4, 4], [10, 1]], 37/22118400], [[[1, 9], [2, 4], [5, 1], [10, 2]], 37/2304000], [[[1, 9], [2, 4], [5, 2], [8, 1]], 289/9216000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 3/102400], [[[1, 9], [2, 6], [3, 1], [4, 4]], 7843/21233664], [[[1, 9], [2, 6], [3, 1], [5, 2]], 301/1728000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 59/7962624], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/921600], [[[1, 9], [2, 6], [3, 2], [4, 3]], 1973/8847360], [[[1, 9], [2, 6], [3, 2], [6, 3]], 7/61440], [[[1, 9], [2, 6], [3, 3], [4, 2]], 6443/39813120], [[[1, 9], [2, 6], [3, 3], [5, 1]], 511/3110400], [[[1, 9], [2, 6], [3, 3], [6, 2]], 10729/39813120], [[[1, 9], [2, 6], [3, 3], [8, 1]], 553/9953280], [[[1, 9], [2, 6], [3, 4], [4, 1]], 151247/1433272320], [[[1, 9], [2, 6], [3, 4], [6, 1]], 7499/44789760], [[[1, 9], [2, 6], [4, 1], [5, 2]], 29551/110592000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 413/191102976], [[[1, 9], [2, 6], [4, 1], [8, 2]], 91/1474560], [[[1, 9], [2, 6], [4, 1], [10, 2]], 5/589824], [[[1, 9], [2, 6], [4, 2], [6, 3]], 35/3981312], [[[1, 9], [2, 6], [4, 3], [5, 1]], 1493/2457600], [[[1, 9], [2, 6], [4, 3], [6, 2]], 4421/106168320], [[[1, 9], [2, 6], [4, 3], [8, 1]], 3601/3686400], [[[1, 9], [2, 6], [4, 3], [10, 1]], 15611/88473600], [[[1, 9], [2, 6], [4, 4], [6, 1]], 19619/106168320], [[[1, 9], [2, 6], [5, 2], [6, 1]], 391/13824000], [[[1, 9], [2, 6], [6, 1], [10, 2]], 1/1228800], [[[1, 9], [2, 6], [6, 3], [8, 1]], 1/1327104], [[[1, 9], [2, 6], [6, 3], [10, 1]], 1/2211840], [[[1, 9], [2, 8], [3, 1], [4, 3]], 24517/26542080], [[[1, 9], [2, 8], [3, 1], [6, 3]], 85201/955514880], [[[1, 9], [2, 8], [3, 2], [4, 2]], 56653/141557760], [[[1, 9], [2, 8], [3, 2], [5, 1]], 6629/88473600], [[[1, 9], [2, 8], [3, 2], [6, 2]], 138269/398131200], [[[1, 9], [2, 8], [3, 2], [8, 1]], 421/13271040], [[[1, 9], [2, 8], [3, 2], [10, 1]], 1/2073600], [[[1, 9], [2, 8], [3, 3], [4, 1]], 8219/59719680], [[[1, 9], [2, 8], [3, 3], [6, 1]], 92321/477757440], [[[1, 9], [2, 8], [4, 1], [6, 3]], 21547/477757440], [[[1, 9], [2, 8], [4, 2], [5, 1]], 172861/353894400], [[[1, 9], [2, 8], [4, 2], [6, 2]], 13447/70778880], [[[1, 9], [2, 8], [4, 2], [8, 1]], 145633/176947200], [[[1, 9], [2, 8], [4, 2], [10, 1]], 54979/176947200], [[[1, 9], [2, 8], [4, 3], [6, 1]], 5045/7077888], [[[1, 9], [2, 8], [5, 1], [6, 2]], 1/1036800], [[[1, 9], [2, 8], [5, 1], [8, 1]], 193/11059200], [[[1, 9], [2, 8], [5, 1], [10, 1]], 289/2211840], [[[1, 9], [2, 8], [6, 2], [8, 1]], 1157/106168320], [[[1, 9], [2, 8], [6, 2], [10, 1]], 901/53084160], [[[1, 9], [2, 8], [8, 1], [10, 1]], 79/9830400], [[[1, 9], [2, 10], [3, 1], [4, 2]], 8275/21233664], [[[1, 9], [2, 10], [3, 1], [5, 1]], 449/33177600], [[[1, 9], [2, 10], [3, 1], [6, 2]], 89003/477757440], [[[1, 9], [2, 10], [3, 1], [8, 1]], 761/106168320], [[[1, 9], [2, 10], [3, 1], [10, 1]], 83/5529600], [[[1, 9], [2, 10], [3, 2], [4, 1]], 563/7962624], [[[1, 9], [2, 10], [3, 2], [6, 1]], 1/7680], [[[1, 9], [2, 10], [4, 1], [5, 1]], 2923/41472000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 11311/63700992], [[[1, 9], [2, 10], [4, 1], [8, 1]], 100381/707788800], [[[1, 9], [2, 10], [4, 1], [10, 1]], 33149/265420800], [[[1, 9], [2, 10], [4, 2], [6, 1]], 697531/1274019840], [[[1, 9], [2, 10], [5, 1], [6, 1]], 1223/132710400], [[[1, 9], [2, 10], [6, 1], [8, 1]], 1781/106168320], [[[1, 9], [2, 10], [6, 1], [10, 1]], 5851/132710400], [[[1, 9], [2, 12], [3, 1], [4, 1]], 259051/6370099200], [[[1, 9], [2, 12], [3, 1], [6, 1]], 407243/8493465600], [[[1, 9], [2, 12], [4, 1], [6, 1]], 2840647/19110297600], [[[1, 9], [3, 2], [4, 2], [5, 2]], 1/921600], [[[1, 9], [3, 2], [5, 1], [15, 1]], 1/230400], [[[1, 9], [3, 4], [4, 2], [5, 1]], 1/3317760], [[[1, 10], [2, 1], [3, 1], [5, 3]], 17/288000], [[[1, 10], [2, 1], [3, 3], [5, 2]], 37/1036800], [[[1, 10], [2, 1], [3, 4], [4, 3]], 1/5308416], [[[1, 10], [2, 1], [3, 4], [9, 1]], 7/276480], [[[1, 10], [2, 1], [3, 5], [4, 2]], 7/11943936], [[[1, 10], [2, 1], [3, 5], [5, 1]], 23/3732480], [[[1, 10], [2, 1], [3, 5], [8, 1]], 1/2985984], [[[1, 10], [2, 1], [3, 6], [4, 1]], 329/35831808], [[[1, 10], [2, 1], [3, 6], [6, 1]], 581/14929920], [[[1, 10], [2, 1], [4, 1], [5, 3]], 17/768000], [[[1, 10], [2, 1], [4, 3], [5, 2]], 1/409600], [[[1, 10], [2, 3], [3, 1], [4, 5]], 17/4423680], [[[1, 10], [2, 3], [3, 2], [4, 4]], 1/393216], [[[1, 10], [2, 3], [3, 2], [5, 2]], 319/1152000], [[[1, 10], [2, 3], [3, 2], [6, 4]], 1/8847360], [[[1, 10], [2, 3], [3, 3], [4, 3]], 25/2654208], [[[1, 10], [2, 3], [3, 3], [6, 3]], 163/26542080], [[[1, 10], [2, 3], [3, 4], [4, 2]], 5759/477757440], [[[1, 10], [2, 3], [3, 4], [5, 1]], 7403/74649600], [[[1, 10], [2, 3], [3, 4], [6, 2]], 1453/29859840], [[[1, 10], [2, 3], [3, 4], [8, 1]], 557/39813120], [[[1, 10], [2, 3], [3, 5], [4, 1]], 251/17915904], [[[1, 10], [2, 3], [3, 5], [6, 1]], 12133/179159040], [[[1, 10], [2, 3], [4, 2], [5, 2]], 4879/36864000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 1/737280], [[[1, 10], [2, 3], [4, 4], [5, 1]], 3/327680], [[[1, 10], [2, 3], [4, 4], [6, 2]], 1/53084160], [[[1, 10], [2, 3], [4, 4], [8, 1]], 257/35389440], [[[1, 10], [2, 3], [4, 4], [10, 1]], 1/14745600], [[[1, 10], [2, 3], [5, 1], [10, 2]], 1/1536000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 37/3072000], [[[1, 10], [2, 5], [3, 1], [4, 4]], 919/7077888], [[[1, 10], [2, 5], [3, 1], [5, 2]], 6703/27648000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1/2654208], [[[1, 10], [2, 5], [3, 2], [4, 3]], 349/3538944], [[[1, 10], [2, 5], [3, 2], [6, 3]], 457/26542080], [[[1, 10], [2, 5], [3, 3], [4, 2]], 5603/39813120], [[[1, 10], [2, 5], [3, 3], [5, 1]], 4253/16588800], [[[1, 10], [2, 5], [3, 3], [6, 2]], 7/55296], [[[1, 10], [2, 5], [3, 3], [8, 1]], 4957/89579520], [[[1, 10], [2, 5], [3, 4], [4, 1]], 12077/95551488], [[[1, 10], [2, 5], [3, 4], [6, 1]], 3247/22394880], [[[1, 10], [2, 5], [4, 1], [5, 2]], 131/491520], [[[1, 10], [2, 5], [4, 1], [6, 4]], 5/191102976], [[[1, 10], [2, 5], [4, 1], [8, 2]], 17/1474560], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1/2949120], [[[1, 10], [2, 5], [4, 2], [6, 3]], 5/5308416], [[[1, 10], [2, 5], [4, 3], [5, 1]], 277/983040], [[[1, 10], [2, 5], [4, 3], [6, 2]], 89/26542080], [[[1, 10], [2, 5], [4, 3], [8, 1]], 11/46080], [[[1, 10], [2, 5], [4, 3], [10, 1]], 41/2764800], [[[1, 10], [2, 5], [4, 4], [6, 1]], 7/884736], [[[1, 10], [2, 5], [5, 2], [6, 1]], 289/13824000], [[[1, 10], [2, 7], [3, 1], [4, 3]], 2309/3317760], [[[1, 10], [2, 7], [3, 1], [6, 3]], 5761/318504960], [[[1, 10], [2, 7], [3, 2], [4, 2]], 17237/35389440], [[[1, 10], [2, 7], [3, 2], [5, 1]], 4711/26542080], [[[1, 10], [2, 7], [3, 2], [6, 2]], 1965497/9555148800], [[[1, 10], [2, 7], [3, 2], [8, 1]], 893/17694720], [[[1, 10], [2, 7], [3, 3], [4, 1]], 539519/2149908480], [[[1, 10], [2, 7], [3, 3], [6, 1]], 107023/477757440], [[[1, 10], [2, 7], [4, 1], [6, 3]], 41/5971968], [[[1, 10], [2, 7], [4, 2], [5, 1]], 41137/88473600], [[[1, 10], [2, 7], [4, 2], [6, 2]], 4561/106168320], [[[1, 10], [2, 7], [4, 2], [8, 1]], 76771/176947200], [[[1, 10], [2, 7], [4, 2], [10, 1]], 8981/88473600], [[[1, 10], [2, 7], [4, 3], [6, 1]], 28193/106168320], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1/2073600], [[[1, 10], [2, 7], [5, 1], [8, 1]], 37/1769472], [[[1, 10], [2, 7], [5, 1], [10, 1]], 769/11059200], [[[1, 10], [2, 7], [6, 2], [8, 1]], 17/10616832], [[[1, 10], [2, 7], [6, 2], [10, 1]], 83/53084160], [[[1, 10], [2, 7], [8, 1], [10, 1]], 1/589824], [[[1, 10], [2, 9], [3, 1], [4, 2]], 697531/1274019840], [[[1, 10], [2, 9], [3, 1], [5, 1]], 5851/132710400], [[[1, 10], [2, 9], [3, 1], [6, 2]], 1/7680], [[[1, 10], [2, 9], [3, 1], [8, 1]], 1781/106168320], [[[1, 10], [2, 9], [3, 1], [10, 1]], 1223/132710400], [[[1, 10], [2, 9], [3, 2], [4, 1]], 11311/63700992], [[[1, 10], [2, 9], [3, 2], [6, 1]], 89003/477757440], [[[1, 10], [2, 9], [4, 1], [5, 1]], 33149/265420800], [[[1, 10], [2, 9], [4, 1], [6, 2]], 563/7962624], [[[1, 10], [2, 9], [4, 1], [8, 1]], 100381/707788800], [[[1, 10], [2, 9], [4, 1], [10, 1]], 2923/41472000], [[[1, 10], [2, 9], [4, 2], [6, 1]], 8275/21233664], [[[1, 10], [2, 9], [5, 1], [6, 1]], 83/5529600], [[[1, 10], [2, 9], [6, 1], [8, 1]], 761/106168320], [[[1, 10], [2, 9], [6, 1], [10, 1]], 449/33177600], [[[1, 10], [2, 11], [3, 1], [4, 1]], 563827/6370099200], [[[1, 10], [2, 11], [3, 1], [6, 1]], 575507/8493465600], [[[1, 10], [2, 11], [4, 1], [6, 1]], 2569303/19110297600], [[[1, 11], [2, 2], [3, 2], [4, 4]], 1/2359296], [[[1, 11], [2, 2], [3, 2], [5, 2]], 629/4608000], [[[1, 11], [2, 2], [3, 3], [4, 3]], 1/331776], [[[1, 11], [2, 2], [3, 3], [6, 3]], 17/79626240], [[[1, 11], [2, 2], [3, 4], [4, 2]], 707/159252480], [[[1, 11], [2, 2], [3, 4], [5, 1]], 2473/49766400], [[[1, 11], [2, 2], [3, 4], [6, 2]], 5/1769472], [[[1, 11], [2, 2], [3, 4], [8, 1]], 419/119439360], [[[1, 11], [2, 2], [3, 5], [4, 1]], 29/5971968], [[[1, 11], [2, 2], [3, 5], [6, 1]], 7381/447897600], [[[1, 11], [2, 2], [4, 2], [5, 2]], 307/12288000], [[[1, 11], [2, 2], [4, 4], [5, 1]], 1/655360], [[[1, 11], [2, 2], [4, 4], [8, 1]], 11/35389440], [[[1, 11], [2, 2], [5, 2], [8, 1]], 19/9216000], [[[1, 11], [2, 4], [3, 1], [4, 4]], 73/2359296], [[[1, 11], [2, 4], [3, 1], [5, 2]], 16511/82944000], [[[1, 11], [2, 4], [3, 2], [4, 3]], 23/589824], [[[1, 11], [2, 4], [3, 2], [6, 3]], 23/26542080], [[[1, 11], [2, 4], [3, 3], [4, 2]], 29707/358318080], [[[1, 11], [2, 4], [3, 3], [5, 1]], 107597/447897600], [[[1, 11], [2, 4], [3, 3], [6, 2]], 143/4976640], [[[1, 11], [2, 4], [3, 3], [8, 1]], 2863/89579520], [[[1, 11], [2, 4], [3, 4], [4, 1]], 13373/143327232], [[[1, 11], [2, 4], [3, 4], [6, 1]], 179/2211840], [[[1, 11], [2, 4], [4, 1], [5, 2]], 1741/11059200], [[[1, 11], [2, 4], [4, 1], [8, 2]], 1/1474560], [[[1, 11], [2, 4], [4, 3], [5, 1]], 113/1474560], [[[1, 11], [2, 4], [4, 3], [6, 2]], 23/106168320], [[[1, 11], [2, 4], [4, 3], [8, 1]], 83/4423680], [[[1, 11], [2, 4], [4, 3], [10, 1]], 23/29491200], [[[1, 11], [2, 4], [4, 4], [6, 1]], 5/5308416], [[[1, 11], [2, 4], [5, 2], [6, 1]], 37/4608000], [[[1, 11], [2, 6], [3, 1], [4, 3]], 37669/106168320], [[[1, 11], [2, 6], [3, 1], [6, 3]], 83/35389440], [[[1, 11], [2, 6], [3, 2], [4, 2]], 21679/53084160], [[[1, 11], [2, 6], [3, 2], [5, 1]], 100403/398131200], [[[1, 11], [2, 6], [3, 2], [6, 2]], 648143/9555148800], [[[1, 11], [2, 6], [3, 2], [8, 1]], 767/15925248], [[[1, 11], [2, 6], [3, 3], [4, 1]], 160847/537477120], [[[1, 11], [2, 6], [3, 3], [6, 1]], 724733/4299816960], [[[1, 11], [2, 6], [4, 1], [6, 3]], 11/31850496], [[[1, 11], [2, 6], [4, 2], [5, 1]], 2651/8847360], [[[1, 11], [2, 6], [4, 2], [6, 2]], 41/7864320], [[[1, 11], [2, 6], [4, 2], [8, 1]], 8351/70778880], [[[1, 11], [2, 6], [4, 2], [10, 1]], 2189/176947200], [[[1, 11], [2, 6], [4, 3], [6, 1]], 67/1769472], [[[1, 11], [2, 6], [5, 1], [8, 1]], 347/22118400], [[[1, 11], [2, 6], [5, 1], [10, 1]], 23/1228800], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1/21233664], [[[1, 11], [2, 6], [6, 2], [10, 1]], 1/53084160], [[[1, 11], [2, 6], [8, 1], [10, 1]], 1/5898240], [[[1, 11], [2, 8], [3, 1], [4, 2]], 3195967/6370099200], [[[1, 11], [2, 8], [3, 1], [5, 1]], 34001/398131200], [[[1, 11], [2, 8], [3, 1], [6, 2]], 2051/39813120], [[[1, 11], [2, 8], [3, 1], [8, 1]], 3547/159252480], [[[1, 11], [2, 8], [3, 1], [10, 1]], 203/66355200], [[[1, 11], [2, 8], [3, 2], [4, 1]], 409/1492992], [[[1, 11], [2, 8], [3, 2], [6, 1]], 78821/477757440], [[[1, 11], [2, 8], [4, 1], [5, 1]], 4789/33177600], [[[1, 11], [2, 8], [4, 1], [6, 2]], 79/5529600], [[[1, 11], [2, 8], [4, 1], [8, 1]], 174757/2123366400], [[[1, 11], [2, 8], [4, 1], [10, 1]], 7277/331776000], [[[1, 11], [2, 8], [4, 2], [6, 1]], 2123/13271040], [[[1, 11], [2, 8], [5, 1], [6, 1]], 997/66355200], [[[1, 11], [2, 8], [6, 1], [8, 1]], 31/21233664], [[[1, 11], [2, 8], [6, 1], [10, 1]], 53/26542080], [[[1, 11], [2, 10], [3, 1], [4, 1]], 2569303/19110297600], [[[1, 11], [2, 10], [3, 1], [6, 1]], 575507/8493465600], [[[1, 11], [2, 10], [4, 1], [6, 1]], 563827/6370099200], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/921600], [[[1, 11], [3, 3], [4, 2], [5, 1]], 1/1658880], [[[1, 12], [2, 1], [3, 2], [5, 2]], 239/6912000], [[[1, 12], [2, 1], [3, 3], [4, 3]], 1/2654208], [[[1, 12], [2, 1], [3, 4], [4, 2]], 419/477757440], [[[1, 12], [2, 1], [3, 4], [5, 1]], 121/9331200], [[[1, 12], [2, 1], [3, 4], [8, 1]], 41/119439360], [[[1, 12], [2, 1], [3, 5], [4, 1]], 1/1492992], [[[1, 12], [2, 1], [3, 5], [6, 1]], 1381/1194393600], [[[1, 12], [2, 1], [4, 2], [5, 2]], 19/36864000], [[[1, 12], [2, 1], [5, 2], [8, 1]], 1/9216000], [[[1, 12], [2, 3], [3, 1], [4, 4]], 1/262144], [[[1, 12], [2, 3], [3, 1], [5, 2]], 1991/20736000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 89/7077888], [[[1, 12], [2, 3], [3, 3], [4, 2]], 10153/358318080], [[[1, 12], [2, 3], [3, 3], [5, 1]], 15347/111974400], [[[1, 12], [2, 3], [3, 3], [6, 2]], 25/15925248], [[[1, 12], [2, 3], [3, 3], [8, 1]], 157/14929920], [[[1, 12], [2, 3], [3, 4], [4, 1]], 5867/143327232], [[[1, 12], [2, 3], [3, 4], [6, 1]], 4811/179159040], [[[1, 12], [2, 3], [4, 1], [5, 2]], 571/11059200], [[[1, 12], [2, 3], [4, 3], [5, 1]], 83/5898240], [[[1, 12], [2, 3], [4, 3], [8, 1]], 1/1474560], [[[1, 12], [2, 3], [5, 2], [6, 1]], 19/13824000], [[[1, 12], [2, 5], [3, 1], [4, 3]], 13829/106168320], [[[1, 12], [2, 5], [3, 1], [6, 3]], 7/106168320], [[[1, 12], [2, 5], [3, 2], [4, 2]], 15647/63700992], [[[1, 12], [2, 5], [3, 2], [5, 1]], 89621/398131200], [[[1, 12], [2, 5], [3, 2], [6, 2]], 8971/796262400], [[[1, 12], [2, 5], [3, 2], [8, 1]], 67483/2388787200], [[[1, 12], [2, 5], [3, 3], [4, 1]], 415/1769472], [[[1, 12], [2, 5], [3, 3], [6, 1]], 1931227/21499084800], [[[1, 12], [2, 5], [4, 2], [5, 1]], 12127/88473600], [[[1, 12], [2, 5], [4, 2], [6, 2]], 67/424673280], [[[1, 12], [2, 5], [4, 2], [8, 1]], 1241/70778880], [[[1, 12], [2, 5], [4, 2], [10, 1]], 67/117964800], [[[1, 12], [2, 5], [4, 3], [6, 1]], 67/10616832], [[[1, 12], [2, 5], [5, 1], [8, 1]], 5003/663552000], [[[1, 12], [2, 5], [5, 1], [10, 1]], 13/5529600], [[[1, 12], [2, 7], [3, 1], [4, 2]], 40271/117964800], [[[1, 12], [2, 7], [3, 1], [5, 1]], 7103/66355200], [[[1, 12], [2, 7], [3, 1], [6, 2]], 13223/1194393600], [[[1, 12], [2, 7], [3, 1], [8, 1]], 3007/159252480], [[[1, 12], [2, 7], [3, 1], [10, 1]], 7/14745600], [[[1, 12], [2, 7], [3, 2], [4, 1]], 1048661/3583180800], [[[1, 12], [2, 7], [3, 2], [6, 1]], 40423/398131200], [[[1, 12], [2, 7], [4, 1], [5, 1]], 121321/995328000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 409/265420800], [[[1, 12], [2, 7], [4, 1], [8, 1]], 20831/707788800], [[[1, 12], [2, 7], [4, 1], [10, 1]], 2009/663552000], [[[1, 12], [2, 7], [4, 2], [6, 1]], 247577/6370099200], [[[1, 12], [2, 7], [5, 1], [6, 1]], 347/33177600], [[[1, 12], [2, 7], [6, 1], [8, 1]], 1/7077888], [[[1, 12], [2, 7], [6, 1], [10, 1]], 1/8847360], [[[1, 12], [2, 9], [3, 1], [4, 1]], 2840647/19110297600], [[[1, 12], [2, 9], [3, 1], [6, 1]], 407243/8493465600], [[[1, 12], [2, 9], [4, 1], [6, 1]], 259051/6370099200], [[[1, 13], [2, 2], [3, 1], [4, 4]], 1/2359296], [[[1, 13], [2, 2], [3, 1], [5, 2]], 89/3456000], [[[1, 13], [2, 2], [3, 2], [4, 3]], 1/442368], [[[1, 13], [2, 2], [3, 3], [4, 2]], 1213/238878720], [[[1, 13], [2, 2], [3, 3], [5, 1]], 863/18662400], [[[1, 13], [2, 2], [3, 3], [6, 2]], 1/26542080], [[[1, 13], [2, 2], [3, 3], [8, 1]], 163/89579520], [[[1, 13], [2, 2], [3, 4], [4, 1]], 9229/955514880], [[[1, 13], [2, 2], [3, 4], [6, 1]], 1729/358318080], [[[1, 13], [2, 2], [4, 1], [5, 2]], 589/73728000], [[[1, 13], [2, 2], [4, 3], [5, 1]], 1/1474560], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1/13824000], [[[1, 13], [2, 4], [3, 1], [4, 3]], 331/10616832], [[[1, 13], [2, 4], [3, 2], [4, 2]], 1810901/19110297600], [[[1, 13], [2, 4], [3, 2], [5, 1]], 760981/5971968000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 2657/2388787200], [[[1, 13], [2, 4], [3, 2], [8, 1]], 5983/597196800], [[[1, 13], [2, 4], [3, 3], [4, 1]], 12625/107495424], [[[1, 13], [2, 4], [3, 3], [6, 1]], 444337/14332723200], [[[1, 13], [2, 4], [4, 2], [5, 1]], 215941/5308416000], [[[1, 13], [2, 4], [4, 2], [8, 1]], 31/23592960], [[[1, 13], [2, 4], [4, 3], [6, 1]], 7/11796480], [[[1, 13], [2, 4], [5, 1], [8, 1]], 353/165888000], [[[1, 13], [2, 4], [5, 1], [10, 1]], 1/11059200], [[[1, 13], [2, 6], [3, 1], [4, 2]], 189437/1061683200], [[[1, 13], [2, 6], [3, 1], [5, 1]], 2449/27648000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 3649/2388787200], [[[1, 13], [2, 6], [3, 1], [8, 1]], 8473/796262400], [[[1, 13], [2, 6], [3, 2], [4, 1]], 785009/3583180800], [[[1, 13], [2, 6], [3, 2], [6, 1]], 337847/7166361600], [[[1, 13], [2, 6], [4, 1], [5, 1]], 74791/995328000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 19/530841600], [[[1, 13], [2, 6], [4, 1], [8, 1]], 5477/707788800], [[[1, 13], [2, 6], [4, 1], [10, 1]], 19/147456000], [[[1, 13], [2, 6], [4, 2], [6, 1]], 11597/1274019840], [[[1, 13], [2, 6], [5, 1], [6, 1]], 5003/995328000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 2458853/19110297600], [[[1, 13], [2, 8], [3, 1], [6, 1]], 43939/1698693120], [[[1, 13], [2, 8], [4, 1], [6, 1]], 284827/19110297600], [[[1, 13], [3, 2], [4, 2], [5, 1]], 7/22118400], [[[1, 14], [2, 1], [3, 1], [5, 2]], 559/165888000], [[[1, 14], [2, 1], [3, 2], [4, 3]], 7/35389440], [[[1, 14], [2, 1], [3, 3], [4, 2]], 163/358318080], [[[1, 14], [2, 1], [3, 3], [5, 1]], 7549/895795200], [[[1, 14], [2, 1], [3, 3], [8, 1]], 23/179159040], [[[1, 14], [2, 1], [3, 4], [4, 1]], 893/955514880], [[[1, 14], [2, 1], [3, 4], [6, 1]], 43/119439360], [[[1, 14], [2, 1], [4, 1], [5, 2]], 29/73728000], [[[1, 14], [2, 1], [4, 3], [5, 1]], 1/29491200], [[[1, 14], [2, 3], [3, 1], [4, 3]], 23/5308416], [[[1, 14], [2, 3], [3, 2], [4, 2]], 196867/9555148800], [[[1, 14], [2, 3], [3, 2], [5, 1]], 535313/11943936000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 437/9555148800], [[[1, 14], [2, 3], [3, 2], [8, 1]], 121/58982400], [[[1, 14], [2, 3], [3, 3], [4, 1]], 154357/4299816960], [[[1, 14], [2, 3], [3, 3], [6, 1]], 266189/42998169600], [[[1, 14], [2, 3], [4, 2], [5, 1]], 16127/2654208000], [[[1, 14], [2, 3], [4, 2], [8, 1]], 1/23592960], [[[1, 14], [2, 3], [4, 3], [6, 1]], 1/35389440], [[[1, 14], [2, 3], [5, 1], [8, 1]], 49/147456000], [[[1, 14], [2, 5], [3, 1], [4, 2]], 139157/2123366400], [[[1, 14], [2, 5], [3, 1], [5, 1]], 47947/995328000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 49/265420800], [[[1, 14], [2, 5], [3, 1], [8, 1]], 9239/2388787200], [[[1, 14], [2, 5], [3, 2], [4, 1]], 104989/955514880], [[[1, 14], [2, 5], [3, 2], [6, 1]], 112181/7166361600], [[[1, 14], [2, 5], [4, 1], [5, 1]], 547/17694720], [[[1, 14], [2, 5], [4, 1], [8, 1]], 677/424673280], [[[1, 14], [2, 5], [4, 2], [6, 1]], 1031/637009920], [[[1, 14], [2, 5], [5, 1], [6, 1]], 353/248832000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 4943647/57330892800], [[[1, 14], [2, 7], [3, 1], [6, 1]], 288811/25480396800], [[[1, 14], [2, 7], [4, 1], [6, 1]], 98947/19110297600], [[[1, 15], [2, 2], [3, 1], [4, 3]], 23/106168320], [[[1, 15], [2, 2], [3, 2], [4, 2]], 367/176947200], [[[1, 15], [2, 2], [3, 2], [5, 1]], 12283/1327104000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1/3185049600], [[[1, 15], [2, 2], [3, 2], [8, 1]], 517/2388787200], [[[1, 15], [2, 2], [3, 3], [4, 1]], 217/35831808], [[[1, 15], [2, 2], [3, 3], [6, 1]], 26711/42998169600], [[[1, 15], [2, 2], [4, 2], [5, 1]], 17/49152000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 17/663552000], [[[1, 15], [2, 4], [3, 1], [4, 2]], 288133/19110297600], [[[1, 15], [2, 4], [3, 1], [5, 1]], 101273/5971968000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 17/1194393600], [[[1, 15], [2, 4], [3, 1], [8, 1]], 4147/4777574400], [[[1, 15], [2, 4], [3, 2], [4, 1]], 10117/286654464], [[[1, 15], [2, 4], [3, 2], [6, 1]], 991/298598400], [[[1, 15], [2, 4], [4, 1], [5, 1]], 3109/398131200], [[[1, 15], [2, 4], [4, 1], [8, 1]], 19/84934656], [[[1, 15], [2, 4], [4, 2], [6, 1]], 113/637009920], [[[1, 15], [2, 4], [5, 1], [6, 1]], 49/221184000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 2379523/57330892800], [[[1, 15], [2, 6], [3, 1], [6, 1]], 173149/45864714240], [[[1, 15], [2, 6], [4, 1], [6, 1]], 26359/19110297600], [[[1, 15], [3, 1], [4, 2], [5, 1]], 1/66355200], [[[1, 16], [2, 1], [3, 1], [4, 3]], 1/106168320], [[[1, 16], [2, 1], [3, 2], [4, 2]], 517/9555148800], [[[1, 16], [2, 1], [3, 2], [5, 1]], 11813/11943936000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 41/4777574400], [[[1, 16], [2, 1], [3, 3], [4, 1]], 617/1433272320], [[[1, 16], [2, 1], [3, 3], [6, 1]], 101/4777574400], [[[1, 16], [2, 1], [4, 2], [5, 1]], 17/2654208000], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/1327104000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 8833/4777574400], [[[1, 16], [2, 3], [3, 1], [5, 1]], 22277/5971968000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 1/2388787200], [[[1, 16], [2, 3], [3, 1], [8, 1]], 181/1592524800], [[[1, 16], [2, 3], [3, 2], [4, 1]], 4879/716636160], [[[1, 16], [2, 3], [3, 2], [6, 1]], 11/27993600], [[[1, 16], [2, 3], [4, 1], [5, 1]], 7/6220800], [[[1, 16], [2, 3], [4, 1], [8, 1]], 7/424673280], [[[1, 16], [2, 3], [4, 2], [6, 1]], 7/637009920], [[[1, 16], [2, 3], [5, 1], [6, 1]], 17/995328000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 51493/3822059520], [[[1, 16], [2, 5], [3, 1], [6, 1]], 961723/1146617856000], [[[1, 16], [2, 5], [4, 1], [6, 1]], 200971/859963392000], [[[1, 17], [2, 2], [3, 1], [4, 2]], 77/796262400], [[[1, 17], [2, 2], [3, 1], [5, 1]], 239/497664000], [[[1, 17], [2, 2], [3, 1], [8, 1]], 37/4777574400], [[[1, 17], [2, 2], [3, 2], [4, 1]], 827/1194393600], [[[1, 17], [2, 2], [3, 2], [6, 1]], 79/3583180800], [[[1, 17], [2, 2], [4, 1], [5, 1]], 1/12288000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 1/2123366400], [[[1, 17], [2, 2], [4, 2], [6, 1]], 1/3185049600], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/1990656000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 16009/5733089280], [[[1, 17], [2, 4], [3, 1], [6, 1]], 3587/31850496000], [[[1, 17], [2, 4], [4, 1], [6, 1]], 10217/429981696000], [[[1, 18], [2, 1], [3, 1], [4, 2]], 37/19110297600], [[[1, 18], [2, 1], [3, 1], [5, 1]], 191/5971968000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 1/4777574400], [[[1, 18], [2, 1], [3, 2], [4, 1]], 127/4777574400], [[[1, 18], [2, 1], [3, 2], [6, 1]], 1/2388787200], [[[1, 18], [2, 1], [4, 1], [5, 1]], 1/442368000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 9881/28665446400], [[[1, 18], [2, 3], [3, 1], [6, 1]], 9493/1146617856000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 211/143327232000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 427/19110297600], [[[1, 19], [2, 2], [3, 1], [6, 1]], 161/573308928000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 49/859963392000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 11/19110297600], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/382205952000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/859963392000], [[[2, 5], [4, 2], [6, 2], [18, 2]], 1/13824], [[[2, 5], [6, 2], [10, 1], [18, 2]], 1/2160], [[[2, 5], [6, 2], [10, 2], [30, 1]], 1/600], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1/13824], [[[2, 7], [6, 3], [10, 1], [30, 1]], 1/2880], [[[2, 7], [6, 4], [10, 1], [18, 1]], 1/2160], [[[2, 9], [4, 2], [6, 2], [10, 2]], 1/921600], [[[2, 9], [4, 2], [6, 4], [10, 1]], 1/3317760], [[[2, 9], [6, 2], [10, 1], [30, 1]], 1/230400], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/921600], [[[2, 11], [4, 2], [6, 3], [10, 1]], 1/1658880], [[[2, 13], [4, 2], [6, 2], [10, 1]], 7/22118400], [[[2, 15], [4, 2], [6, 1], [10, 1]], 1/66355200], [[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 1/13824], [[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/3456], [[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/2160], [[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 1/600], [[[1, 1], [2, 6], [3, 1], [6, 2], [18, 2]], 1/10368], [[[1, 1], [2, 6], [3, 3], [4, 3], [6, 3]], 1/110592], [[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 5/13824], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/13824], [[[1, 1], [2, 6], [6, 3], [10, 1], [30, 1]], 1/960], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/3456], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/2160], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 329/67184640], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/288000], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 581/19906560], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/48000], [[[1, 1], [2, 8], [3, 1], [6, 1], [18, 2]], 1/829440], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/86400], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/2592], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 581/3110400], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 4]], 7/497664], [[[1, 1], [2, 8], [3, 3], [6, 3], [8, 1]], 1/331776], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 5/13824], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/829440], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 1], [2, 8], [6, 2], [10, 1], [30, 1]], 7/76800], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/4478976], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/1990656], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 11/691200], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/207360], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 7/1244160], [[[1, 1], [2, 10], [3, 3], [4, 1], [6, 3]], 1/2488320], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 13/921600], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 1/368640], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 7/921600], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 7/1658880], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/737280], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 1/414720], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 41/179159040], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/13824000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 7/26542080], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 19/55296000], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 137/33177600], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 1/57600], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 1/138240], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 73/22118400], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1/737280], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 7/5529600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 23/268738560], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/79626240], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 17/99532800], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 23/4915200], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 11/33177600], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 1/16588800], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 41/7166361600], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/1990656000], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/6370099200], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 7/3981312000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 1/4915200], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/7166361600], [[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 1/3456], [[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 5/10368], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 5]], 1/124416], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 1/147456], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 3]], 1/55296], [[[1, 2], [2, 5], [3, 4], [4, 2], [6, 3]], 1/41472], [[[1, 2], [2, 5], [3, 4], [4, 3], [6, 2]], 1/331776], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 1/4000], [[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 7/13824], [[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/25600], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/36864], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 1/55296], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/40960], [[[1, 2], [2, 5], [6, 3], [9, 1], [18, 1]], 1/1728], [[[1, 2], [2, 5], [6, 3], [10, 1], [30, 1]], 1/960], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 43/8398080], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 1/72000], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 149/4976640], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 1/294912], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 1/12000], [[[1, 2], [2, 7], [3, 1], [6, 1], [18, 2]], 7/276480], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 1/21600], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 7/5184], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 581/4976640], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 149/777600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 581/7464960], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 157/1327104], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 5/147456], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/57600], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 1/3456], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 29/41472], [[[1, 2], [2, 7], [3, 2], [9, 1], [18, 1]], 1/276480], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 4]], 7/124416], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 3]], 73/1327104], [[[1, 2], [2, 7], [3, 3], [5, 1], [6, 3]], 1/207360], [[[1, 2], [2, 7], [3, 3], [6, 3], [8, 1]], 1/82944], [[[1, 2], [2, 7], [3, 3], [6, 3], [10, 1]], 1/17280], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 3]], 1/165888], [[[1, 2], [2, 7], [3, 4], [6, 2], [8, 1]], 1/331776], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 7/13824], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 13/76800], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/153600], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/552960], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/36864], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/40960], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 1/49152], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 13/122880], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 7], [6, 2], [9, 1], [18, 1]], 1/55296], [[[1, 2], [2, 7], [6, 2], [10, 1], [30, 1]], 1/2560], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/207360], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 5285/35831808], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 1/248832], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 1/153600], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/884736], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 1/221184], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 19/172800], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 7/69120], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/497664], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 47/1244160], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/746496], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 343/6635520], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1/8847360], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/276480], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 7/829440], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 3]], 29/4976640], [[[1, 2], [2, 9], [3, 4], [4, 1], [6, 2]], 1/3317760], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/1536000], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 31/460800], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 1/1327104], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 7/552960], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1/102400], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 1/51200], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 1/92160], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/2457600], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 1/147456], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 17/737280], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 7/230400], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 7/414720], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 1139/179159040], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 19/13824000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 299/79626240], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 1/884736], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 1/17694720], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 67/6912000], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 7/6635520], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 259/6220800], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 7/9953280], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 187/159252480], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 11/66355200], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 61/460800], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 1/663552], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 1/18432], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 11/22118400], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 169/7372800], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 1/92160], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 73/5529600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 17447/4299816960], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 1/1244160], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 1/11059200], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 1/35389440], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 1/19906560], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 467/99532800], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 1/29859840], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 7/8847360], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 247/4915200], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 1/7372800], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 311/22118400], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 11/8294400], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1889/7166361600], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 17/995328000], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 97/3185049600], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/1592524800], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 413/3981312000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/2388787200], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 1/26542080], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 13/2764800], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 23/3583180800], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 1/3456], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 2]], 1/5184], [[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 5/10368], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 5]], 1/62208], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 1/331776], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/36864], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1/73728], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 1/10368], [[[1, 3], [2, 4], [3, 2], [6, 1], [18, 2]], 1/5184], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 4]], 1/41472], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/110592], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 1/55296], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 3]], 1/20736], [[[1, 3], [2, 4], [3, 4], [4, 3], [6, 2]], 1/165888], [[[1, 3], [2, 4], [3, 5], [4, 2], [6, 2]], 1/124416], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 3/4000], [[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 7/41472], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/25600], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/12800], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/18432], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 1/27648], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/20480], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 1/147456], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 1/40960], [[[1, 3], [2, 4], [6, 3], [9, 1], [18, 1]], 1/1728], [[[1, 3], [2, 4], [6, 3], [10, 1], [30, 1]], 1/2880], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 1/2239488], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 1/48000], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/663552], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/41472], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 1/16384], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1/147456], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 2]], 1/165888], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 1/8000], [[[1, 3], [2, 6], [3, 1], [6, 1], [18, 2]], 1/9216], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/14400], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 7/5184], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 149/1244160], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/103680], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 157/933120], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 53/331776], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 7/331776], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 11/147456], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 7/147456], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 1/110592], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/14400], [[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 1/57600], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 1/14400], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 17/10368], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 185/331776], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 37/51840], [[[1, 3], [2, 6], [3, 2], [9, 1], [18, 1]], 7/92160], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 7/18432], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 107/442368], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 11/110592], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/110592], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 3]], 1/51840], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 1/18432], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 169/207360], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 3]], 1/13824], [[[1, 3], [2, 6], [3, 4], [4, 2], [6, 2]], 25/1327104], [[[1, 3], [2, 6], [3, 4], [5, 1], [6, 2]], 1/207360], [[[1, 3], [2, 6], [3, 4], [6, 2], [8, 1]], 1/82944], [[[1, 3], [2, 6], [3, 4], [6, 2], [10, 1]], 1/51840], [[[1, 3], [2, 6], [3, 5], [4, 1], [6, 2]], 1/1492992], [[[1, 3], [2, 6], [3, 5], [6, 1], [8, 1]], 1/995328], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 7/41472], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 11/19200], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 3/12800], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 1/18432], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/829440], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 5/36864], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/18432], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 7/40960], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 61/614400], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 25/221184], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 23/61440], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 7/147456], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 1/92160], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 1/38400], [[[1, 3], [2, 6], [6, 2], [9, 1], [18, 1]], 13/55296], [[[1, 3], [2, 6], [6, 2], [10, 1], [30, 1]], 13/23040], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 2111/9953280], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 23/1990656], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 1/30720], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 29/884736], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 1/55296], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 5/98304], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 197/691200], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 1/2304], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 7/497664], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 121/1244160], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 869/1492992], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 1561/6635520], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 2911/13271040], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 11/4423680], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 1/663552], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 1/46080], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/115200], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 7/92160], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 5/331776], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 5/82944], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 323/3317760], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 5/331776], [[[1, 3], [2, 8], [3, 3], [5, 1], [6, 2]], 1/276480], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/110592], [[[1, 3], [2, 8], [3, 4], [4, 1], [6, 2]], 1/276480], [[[1, 3], [2, 8], [3, 5], [4, 1], [6, 1]], 1/11943936], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 61/307200], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 37/2304000], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 71/552960], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 5/1327104], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 47/1990656], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 1/20480], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1/18432], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 11/460800], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 11/829440], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 37/3686400], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 293/1843200], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 35/589824], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1/73728], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 113/491520], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 1/184320], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 307/2211840], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 1/19200], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 1/12800], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 2327/59719680], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 67/4608000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 1981/79626240], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 23/368640], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 1/1769472], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/245760], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 89/35389440], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 841/13824000], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 73/6635520], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 4159/24883200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 787/9953280], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 3617/159252480], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/4423680], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 1/2457600], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 1/5529600], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/663552], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 17/2073600], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 11/3317760], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 7/13271040], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 551/1382400], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 401/2488320], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/1228800], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 253/22118400], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 1/589824], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 197/2457600], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 1/163840], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 149/2949120], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 5/147456], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/921600], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 11/204800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 54229/1433272320], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 137/8847360], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 1/552960], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 293/106168320], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 11/9953280], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 317/8294400], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 889/477757440], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 1/13271040], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1/8294400], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 13/22118400], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 1/110592], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 293/1327104], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 1/368640], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 1/589824], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 3551/33177600], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 7/691200], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 3709/796262400], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 23/73728000], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 1289/1592524800], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 17/796262400], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 6967/3981312000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 17/1194393600], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 23/26542080], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 15239/398131200], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 701/4777574400], [[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 1/13824], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/2160], [[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 1/600], [[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/3456], [[[1, 4], [2, 3], [3, 1], [6, 2], [9, 2]], 1/5184], [[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 1/10368], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 7/41472], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 5]], 1/124416], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 4]], 1/165888], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 1/147456], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 5/10368], [[[1, 4], [2, 3], [3, 2], [6, 1], [18, 2]], 1/5184], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 4]], 1/20736], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/110592], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 1/27648], [[[1, 4], [2, 3], [3, 3], [5, 1], [15, 1]], 1/2880], [[[1, 4], [2, 3], [3, 3], [9, 1], [18, 1]], 1/1728], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 3]], 1/41472], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 1/331776], [[[1, 4], [2, 3], [3, 5], [4, 2], [6, 2]], 1/62208], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 3/4000], [[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 1/41472], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/5120], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/12800], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/25600], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/36864], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 1/55296], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 1/40960], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1/73728], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/20480], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 6]], 1/3359232], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/72000], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/995328], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/20736], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/12288], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/110592], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 1/92160], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 1/110592], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 25/147456], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 1/294912], [[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/48000], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 2]], 13/165888], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/12000], [[[1, 4], [2, 5], [3, 1], [6, 1], [18, 2]], 13/82944], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/21600], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/2592], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 1/165888], [[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 1/155520], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/9216], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 79/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 1/18432], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 47/331776], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1/18432], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 37/221184], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 1/55296], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/5184], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/7200], [[[1, 4], [2, 5], [3, 2], [5, 1], [15, 1]], 1/46080], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/14400], [[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 1/230400], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 1/9600], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 17/10368], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/1728], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/34560], [[[1, 4], [2, 5], [3, 2], [9, 1], [18, 1]], 1/3072], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 11/15552], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 155/663552], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 73/331776], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 1/18432], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/34560], [[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 1/86400], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 1/3456], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 1/1728], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 329/331776], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/1296], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 217/497664], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/10368], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/41472], [[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 1/51840], [[[1, 4], [2, 5], [3, 4], [5, 1], [8, 1]], 1/829440], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 5/165888], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 11/51840], [[[1, 4], [2, 5], [3, 5], [4, 1], [6, 2]], 7/373248], [[[1, 4], [2, 5], [3, 5], [4, 2], [6, 1]], 1/3981312], [[[1, 4], [2, 5], [3, 5], [5, 1], [6, 1]], 1/622080], [[[1, 4], [2, 5], [3, 5], [6, 1], [8, 1]], 1/248832], [[[1, 4], [2, 5], [3, 6], [4, 1], [6, 1]], 1/13436928], [[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 1/288000], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1/41472], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1/5120], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 67/76800], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 9/12800], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 1/921600], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1/3317760], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1/2560], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 7/36864], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/9216], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/138240], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 31/61440], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 9/51200], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 47/221184], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 37/61440], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 23/147456], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 1/46080], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 4], [2, 5], [6, 2], [9, 1], [18, 1]], 13/27648], [[[1, 4], [2, 5], [6, 2], [10, 1], [30, 1]], 13/46080], [[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 1/207360], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 14701/179159040], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 1/13824], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/15360], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 23/147456], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 61/663552], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 43/147456], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/36864], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 115/884736], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 1/3840], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 1/115200], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 31/86400], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 13/20736], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1/27648], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 77/622080], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 1/2764800], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 317/331776], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 553/1105920], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 7787/13271040], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 257/2949120], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/34560], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 11/82944], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 11/103680], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 1/230400], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 1/28800], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 1/55296], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 1/3072], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 1/12288], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 157/829440], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1739/1990656], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 151/442368], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 155/2654208], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 17/414720], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 13/331776], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 11/138240], [[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 1/9953280], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 179/4976640], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/1327104], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/1990656], [[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 1/414720], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/165888], [[[1, 4], [2, 7], [3, 5], [4, 1], [6, 1]], 5/5971968], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 23/30720], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/102400], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 1369/4608000], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 17/138240], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 5/663552], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 11/497664], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 1/10240], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/153600], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 5/18432], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 13/921600], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 1/18432], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 13/1658880], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 2449/7372800], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1273/1843200], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 295/884736], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 1/73728], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 73/81920], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 1/34560], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 71/138240], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1/18432], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 11/115200], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 11/207360], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 18839/179159040], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 739/13824000], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 11099/79626240], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 1357/4423680], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 7/589824], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 1/40960], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 5135/21233664], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 1/3686400], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 139/864000], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 11/245760], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 53/153600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 83/221184], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/2211840], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 33989/79626240], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 59/8847360], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 7/663552], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 41/4147200], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 11/2764800], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1/69120], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 997/8294400], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 41/829440], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 11/1474560], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/6635520], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/1327104], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/497664], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 1/36864], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 43/69120], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 25/663552], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 31/124416], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 193/7372800], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 2527/11059200], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 5/73728], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 3367/22118400], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 11/61440], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 19/737280], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 2899/8847360], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 1/18432], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 11/368640], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 17/921600], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 67/614400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 169379/1074954240], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 3331/19906560], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1/884736], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 7/442368], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 845/21233664], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/1105920], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 7/829440], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 3629/24883200], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1693/53084160], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 1/8847360], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 1/196608], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 19/8294400], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 19/53084160], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 1/2457600], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 61/4423680], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 37/884736], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 3439/6635520], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 13/737280], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 139/2949120], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 11849/33177600], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 13/1843200], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 311/8294400], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 251249/7166361600], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 803/248832000], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 2567/235929600], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 49/176947200], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 49873/3981312000], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 23/88473600], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 19/2654208], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 1559/9953280], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 25739/14332723200], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 7/13824], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 4]], 1/331776], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/36864], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 5/10368], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 4]], 1/41472], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 3]], 1/55296], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 1/55296], [[[1, 5], [2, 2], [3, 3], [5, 1], [15, 1]], 1/960], [[[1, 5], [2, 2], [3, 3], [9, 1], [18, 1]], 1/1728], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/3456], [[[1, 5], [2, 2], [3, 5], [4, 2], [6, 2]], 1/124416], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 1/4000], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/25600], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 1/147456], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/40960], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 6]], 1/13436928], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 1/288000], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 5]], 1/3981312], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/41472], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 7/36864], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 23/147456], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 1/294912], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/12000], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 2]], 13/82944], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/48000], [[[1, 5], [2, 4], [3, 1], [6, 1], [18, 2]], 13/165888], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 1/86400], [[[1, 5], [2, 4], [3, 1], [6, 5], [8, 1]], 1/248832], [[[1, 5], [2, 4], [3, 1], [6, 5], [10, 1]], 1/622080], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 5]], 7/373248], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 1/921600], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/10368], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 1/9216], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 73/331776], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 47/221184], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/138240], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 1/110592], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 11/51840], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/14400], [[[1, 5], [2, 4], [3, 2], [5, 1], [15, 1]], 13/46080], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 1/9600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/57600], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/14400], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 1/1728], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 5/165888], [[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 1/51840], [[[1, 5], [2, 4], [3, 2], [9, 1], [18, 1]], 13/27648], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 217/497664], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 155/663552], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 47/331776], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/110592], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/1296], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/21600], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 17/10368], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/1728], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 329/331776], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 11/15552], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1/41472], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1/3317760], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 79/663552], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/20736], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/34560], [[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 1/207360], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/2592], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/1728], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/5184], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/9216], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/995328], [[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 1/155520], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 1/165888], [[[1, 5], [2, 4], [3, 6], [4, 1], [6, 1]], 1/3359232], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/72000], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1/2560], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 9/12800], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 67/76800], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 1/18432], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1/5120], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 1/18432], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1/69120], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 37/61440], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 9/51200], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 37/221184], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 31/61440], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 25/147456], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 1/92160], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/7200], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 5], [2, 4], [6, 2], [9, 1], [18, 1]], 1/3072], [[[1, 5], [2, 4], [6, 2], [10, 1], [30, 1]], 1/46080], [[[1, 5], [2, 4], [6, 4], [8, 1], [10, 1]], 1/829440], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 937/44789760], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 247/1990656], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/6144], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/15360], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 367/1327104], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 1/18432], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 23/82944], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 131/147456], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1/13824], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 5/36864], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1/1440], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1/28800], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 1/76800], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 1/9600], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 157/691200], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 13/41472], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 11/248832], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 101/1244160], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 17/1382400], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 3893/5971968], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/36864], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 539/663552], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 1/737280], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 4403/6635520], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 169/442368], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/17280], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 73/221184], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 47/207360], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 11/172800], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 1/19200], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 13/55296], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 13/27648], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 23/165888], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 11/41472], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 1441/995328], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 1091/1327104], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 1/18432], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 559/2654208], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 137/829440], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 1/138240], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 1/34560], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 1/41472], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 17/165888], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 23/103680], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 11/4976640], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 925/2985984], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 5/1327104], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 5/82944], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 31/1244160], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 13/497664], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 53/11943936], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1/10240], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 359/307200], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 1/20480], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1037/1152000], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1/18432], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 11/184320], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 5/663552], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 7/663552], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 1/10240], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/5120], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 1/30720], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 7/18432], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 1/307200], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/9216], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1/552960], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/34560], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 1967/1843200], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 1177/921600], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 337/589824], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 1/147456], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 691/491520], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 19/276480], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 55/55296], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 1/9216], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 19/28800], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 13/230400], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 13/414720], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/230400], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 34451/179159040], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 1291/13824000], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 36401/79626240], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 929/1105920], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 4177/8847360], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 25/147456], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 82073/106168320], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/115200], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 6007/27648000], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 683/6635520], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 19763/49766400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 251/311040], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 17/2211840], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 11551/8847360], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 17/245760], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1/34560], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1225/2654208], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 587/8294400], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 1/1105920], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 37/1843200], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 31/331776], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 637/2073600], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/414720], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 1363/3317760], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/221184], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 2759/26542080], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/92160], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 19/1327104], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1/51840], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 65/3981312], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 7/921600], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 5/36864], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 5/9216], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 13/165888], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 1/4608], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 527/1843200], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 1189/1228800], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 617/1769472], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 149/884736], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 361/491520], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 31/221184], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 3169/2949120], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 11/81920], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 29/184320], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 91/921600], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 73/614400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 430481/1074954240], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 1/294912], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 27581/39813120], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 17/589824], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 67/1105920], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 50567/106168320], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 1/61440], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 7/368640], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 431/9953280], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 15097/49766400], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/5308416], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 35653/119439360], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1/327680], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 167/2654208], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 1/737280], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 1/442368], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 37/2764800], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 643/53084160], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 89/7372800], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 623/5529600], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 71/589824], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 3167/4423680], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 107/1474560], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 1/36864], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 2569/8847360], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 7243/11059200], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 121/1843200], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 629/8294400], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 1158701/7166361600], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 1/1769472], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 16703/995328000], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 503011/6370099200], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 7/29491200], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 3529/1592524800], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 92401/1990656000], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 11299/2388787200], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 907/26542080], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 4909/13271040], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 871/71663616], [[[1, 5], [3, 2], [4, 2], [5, 1], [15, 1]], 1/3840], [[[1, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1/36864], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 5/13824], [[[1, 6], [2, 1], [3, 2], [6, 1], [9, 2]], 1/10368], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 3]], 1/110592], [[[1, 6], [2, 1], [3, 3], [5, 1], [15, 1]], 1/960], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/13824], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/2160], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/3456], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 5/36864], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 1/92160], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 7/147456], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1/147456], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 1/8000], [[[1, 6], [2, 3], [3, 1], [6, 1], [9, 2]], 1/9216], [[[1, 6], [2, 3], [3, 1], [6, 1], [18, 2]], 1/165888], [[[1, 6], [2, 3], [3, 1], [6, 5], [8, 1]], 1/995328], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 5]], 1/1492992], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 1/230400], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 4]], 25/1327104], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 1/18432], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 11/110592], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 11/147456], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 25/221184], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 4]], 1/51840], [[[1, 6], [2, 3], [3, 2], [5, 1], [15, 1]], 13/23040], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 1/14400], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 1/38400], [[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 1/57600], [[[1, 6], [2, 3], [3, 2], [6, 4], [8, 1]], 1/82944], [[[1, 6], [2, 3], [3, 2], [6, 4], [10, 1]], 1/207360], [[[1, 6], [2, 3], [3, 2], [9, 1], [18, 1]], 13/55296], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 4]], 1/13824], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 107/442368], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 7/331776], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/18432], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 169/207360], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/14400], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 17/10368], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 1/18432], [[[1, 6], [2, 3], [3, 3], [6, 3], [10, 1]], 1/51840], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 7/18432], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 7/41472], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/829440], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 53/331776], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/41472], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 37/51840], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/138240], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 7/5184], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 185/331776], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 157/933120], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/663552], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/103680], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 149/1244160], [[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 1/2239488], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 1/48000], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 1/5120], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 3/12800], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 11/19200], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/138240], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 23/61440], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 61/614400], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 7/147456], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 7/40960], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 1/16384], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 6], [2, 3], [6, 2], [9, 1], [18, 1]], 7/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 53/11943936], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 1/307200], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 5/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 7/18432], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 1/30720], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 559/2654208], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 1/9216], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 73/221184], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 55/55296], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 19/276480], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 5/36864], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 19/28800], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 1/19200], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 13/230400], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1/4800], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 11/172800], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 1/41472], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 13/497664], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 31/1244160], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 11/184320], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 925/2985984], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1/18432], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 1091/1327104], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 1/147456], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 4403/6635520], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 337/589824], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/34560], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 23/82944], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 23/103680], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 157/691200], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1/28800], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 13/27648], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 13/55296], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 17/165888], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 137/829440], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 1441/995328], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1/552960], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 539/663552], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/9216], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 367/1327104], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 11/41472], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 13/414720], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1/17280], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 13/41472], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 23/165888], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 47/207360], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 7/663552], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 3893/5971968], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 5/663552], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 247/1990656], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 101/1244160], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 11/248832], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 937/44789760], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/5120], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1037/1152000], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 1/10240], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 359/307200], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 17/1382400], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 5/1327104], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 11/4976640], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 1/20480], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1/10240], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/15360], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/6144], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 1/18432], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/17280], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 691/491520], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 1177/921600], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 169/442368], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 1/737280], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 1967/1843200], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1/13824], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 131/147456], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 1/18432], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1/1440], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 83/1382400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 2471/11943936], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1/12288], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 79/921600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 10655/15925248], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 67/737280], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 3833/2654208], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 13109/8847360], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 41/110592], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 119659/106168320], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 1/51840], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 53/921600], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 217/1382400], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 817/6635520], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 317/1244160], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 1397/1244160], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 61/1474560], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 5125/2654208], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 199/589824], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 1/17280], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 863/663552], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 847/4147200], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 19/1105920], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 7/55296], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 145/663552], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 11213/33177600], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 13/497664], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 1081/1105920], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 7/165888], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 6799/15925248], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 139/1658880], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 91/1327104], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 1/25920], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 403/3981312], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 37/921600], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 7/36864], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 359/1382400], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 59/663552], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 263/2488320], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 6571/7372800], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 47/25600], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 493/884736], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 163/1474560], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 293/245760], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 743/2211840], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 16087/8847360], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 1/5120], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 263/1105920], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 13/61440], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 5/73728], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 168883/238878720], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 11/276480], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 4309/2654208], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 3059/8847360], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 511/2211840], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 27281/17694720], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 149/1658880], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 1/368640], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 637/5529600], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 1229/9953280], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 6553/16588800], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 269/26542080], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 574787/597196800], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 211/8847360], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1/129600], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 17879/26542080], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 131/6635520], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 11/663552], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 889/8294400], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 3773/39813120], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 589/7372800], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 493/1105920], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 3259/13271040], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 13271/22118400], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 809/3686400], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 167/1105920], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 7837/8847360], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 8543/11059200], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 1279/5529600], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 9/102400], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 11/8847360], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 56809/119439360], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 1/73728], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 1547/33177600], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 4475/10616832], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 1529/265420800], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 319/24883200], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 42799/398131200], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 119821/2388787200], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 107/14745600], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 3097/26542080], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 26827/49766400], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 62887/1194393600], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/36864], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 1/294912], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 1/12000], [[[1, 7], [2, 2], [3, 1], [6, 1], [9, 2]], 7/276480], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/153600], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 5/147456], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 1/49152], [[[1, 7], [2, 2], [3, 2], [5, 1], [15, 1]], 1/2560], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/57600], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 1/57600], [[[1, 7], [2, 2], [3, 2], [6, 4], [8, 1]], 1/331776], [[[1, 7], [2, 2], [3, 2], [9, 1], [18, 1]], 1/55296], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 4]], 1/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 3]], 73/1327104], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 3]], 1/17280], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 1/21600], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 1/3456], [[[1, 7], [2, 2], [3, 3], [6, 3], [8, 1]], 1/82944], [[[1, 7], [2, 2], [3, 3], [6, 3], [10, 1]], 1/207360], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 3]], 7/124416], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 7/13824], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/552960], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 157/1327104], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 29/41472], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/207360], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 7/5184], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 581/7464960], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 149/4976640], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 149/777600], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 581/4976640], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 43/8398080], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 1/72000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 13/76800], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 13/122880], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/40960], [[[1, 7], [2, 2], [6, 2], [9, 1], [18, 1]], 1/276480], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 5]], 5/5971968], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 13/921600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/1990656], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 5/18432], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/153600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 155/2654208], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1/18432], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 11/82944], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 71/138240], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 115/884736], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 1/3600], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 1/28800], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 11/115200], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/9600], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 1/230400], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/165888], [[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 1/414720], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 17/138240], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 179/4976640], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/36864], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 151/442368], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 1/73728], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 7787/13271040], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 295/884736], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 61/663552], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 11/138240], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 31/86400], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 1/115200], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 1/3072], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 1/55296], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 13/331776], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 17/414720], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1739/1990656], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 13/1658880], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 553/1105920], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 1/18432], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 23/147456], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 157/829440], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 11/207360], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 13/20736], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 1/12288], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 11/103680], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 11/497664], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 317/331776], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 5/663552], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 1/13824], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 77/622080], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1/27648], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 14701/179159040], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 1/10240], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 1369/4608000], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 1/10240], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 23/30720], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 1/2764800], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/1327104], [[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 1/9953280], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/102400], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/15360], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/34560], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 73/81920], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1273/1843200], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 257/2949120], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 2449/7372800], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/36864], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 43/147456], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 1/3840], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 359/1382400], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 403/3981312], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 7/36864], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 37/921600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 6799/15925248], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 1/5120], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 863/663552], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 16087/8847360], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 743/2211840], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 119659/106168320], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 1/25920], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 217/1382400], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 53/921600], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 91/1327104], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 139/1658880], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 1081/1105920], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 163/1474560], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 5125/2654208], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 493/884736], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 1/34560], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 3833/2654208], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 11213/33177600], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 5/73728], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 263/1105920], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 145/663552], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 847/4147200], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 263/2488320], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 1397/1244160], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 59/663552], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 10655/15925248], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 317/1244160], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 817/6635520], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 1/51840], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 2471/11943936], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 79/921600], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1/12288], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 83/1382400], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 7/165888], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 13/497664], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 293/245760], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 47/25600], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 199/589824], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 61/1474560], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 6571/7372800], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 41/110592], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 13109/8847360], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 67/737280], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 7/55296], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 13/61440], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 19/1105920], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 178927/238878720], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 599/2457600], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 6179/2654208], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 9283/8847360], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 199/460800], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 1637/655360], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 361/1658880], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 11/552960], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1649/5529600], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 523/3317760], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 2623/8294400], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 61/737280], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 212573/132710400], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 1819/13271040], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 1/64800], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 24689/13271040], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 217/1658880], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 7/82944], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 1991/8294400], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 47993/119439360], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 1/129600], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 893/3686400], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 9569/11059200], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 7297/26542080], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 3317/11059200], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 2477/7372800], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 821/2211840], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 12139/8847360], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 6511/11059200], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 689/1843200], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 61/3317760], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 448127/477757440], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 127/1474560], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 6877/66355200], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 3873977/3185049600], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 10339/265420800], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 5011/106168320], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 4651/26542080], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 52913/159252480], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 2843/66355200], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 7193/26542080], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 101509/199065600], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 90991/530841600], [[[1, 7], [3, 3], [4, 2], [6, 2], [12, 1]], 1/27648], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/48000], [[[1, 8], [2, 1], [3, 1], [6, 1], [9, 2]], 1/829440], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/230400], [[[1, 8], [2, 1], [3, 2], [5, 1], [15, 1]], 7/76800], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/230400], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/86400], [[[1, 8], [2, 1], [3, 3], [6, 3], [8, 1]], 1/331776], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 3]], 7/497664], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 5/13824], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/829440], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/829440], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/2592], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 581/19906560], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 581/3110400], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 329/67184640], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/288000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 5]], 1/11943936], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 11/460800], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1/18432], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 1/663552], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 307/2211840], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 1/184320], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 5/98304], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 1/19200], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/115200], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 1/12800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 71/552960], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 4]], 1/276480], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 5/331776], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1/73728], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 2911/13271040], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 35/589824], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 1/55296], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 197/691200], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 7/92160], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/110592], [[[1, 8], [2, 3], [3, 2], [6, 3], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 323/3317760], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 11/829440], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 1561/6635520], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 29/884736], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 5/82944], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 1/23040], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 1/2304], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 5/331776], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 1/46080], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 47/1990656], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 869/1492992], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 5/1327104], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 23/1990656], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 121/1244160], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 7/497664], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 2111/9953280], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 37/2304000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 1/20480], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 61/307200], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 1/30720], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 113/491520], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 293/1843200], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 11/4423680], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 37/3686400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 5/9216], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 65/3981312], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 5/36864], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 7/921600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 2759/26542080], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 11/81920], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1225/2654208], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 3169/2949120], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 31/221184], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 82073/106168320], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1/51840], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 6007/27648000], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/115200], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 19/1327104], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/92160], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 1363/3317760], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 149/884736], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 11551/8847360], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 617/1769472], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 929/1105920], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 637/2073600], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 73/614400], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 29/184320], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 31/331776], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 587/8294400], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 1/4608], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 251/311040], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 13/165888], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 36401/79626240], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 19763/49766400], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 683/6635520], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 34451/179159040], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 1291/13824000], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/230400], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/221184], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/414720], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 361/491520], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 1189/1228800], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 17/245760], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 17/2211840], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 527/1843200], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 25/147456], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 4177/8847360], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 37/1843200], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 91/921600], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 1/1105920], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 47993/119439360], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 6511/11059200], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 24689/13271040], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 12139/8847360], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 821/2211840], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 1637/655360], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 1991/8294400], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 1/17280], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 689/1843200], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 7/82944], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 217/1658880], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 3317/11059200], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 212573/132710400], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 7297/26542080], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 1/129600], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 6179/2654208], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 2623/8294400], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 523/3317760], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 361/1658880], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 178927/238878720], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 1/64800], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 2477/7372800], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 9569/11059200], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 1819/13271040], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 61/737280], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 893/3686400], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 199/460800], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 9283/8847360], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 599/2457600], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1649/5529600], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 11/552960], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 14947/132710400], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 284701/238878720], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 2207/8847360], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 821/5529600], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 4256789/2123366400], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 31609/265420800], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 4817/53084160], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 25073/132710400], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 46981/53084160], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 15023/132710400], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 1903/5308416], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 1733/5529600], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 643841/1592524800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 1/51200], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 17/737280], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 7/230400], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 31/460800], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 4]], 1/3317760], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 1/147456], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 1/221184], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 19/172800], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/276480], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 3]], 29/4976640], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 1/92160], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 343/6635520], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/884736], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 7/829440], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 7/414720], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 7/69120], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 7/552960], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/746496], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 1/1327104], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 1/248832], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 47/1244160], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/497664], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 5285/35831808], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/1536000], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1/102400], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 1/153600], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1/8847360], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/2457600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 43/69120], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/497664], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 1/36864], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 11/1474560], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 1/18432], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 7/663552], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 2899/8847360], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 19/737280], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 5135/21233664], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 139/864000], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 1/3686400], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/1327104], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/6635520], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 41/829440], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 3367/22118400], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 33989/79626240], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 5/73728], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 1357/4423680], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 997/8294400], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 67/614400], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 11/368640], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1/69120], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 41/4147200], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 31/124416], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 83/221184], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 25/663552], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 11099/79626240], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 53/153600], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 11/245760], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 18839/179159040], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 739/13824000], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 11/61440], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 2527/11059200], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 59/8847360], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/2211840], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 193/7372800], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 1/40960], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 7/589824], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 11/2764800], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 17/921600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 3773/39813120], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 8543/11059200], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 17879/26542080], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 7837/8847360], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 167/1105920], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 27281/17694720], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 889/8294400], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 9/102400], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 1279/5529600], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 11/663552], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 131/6635520], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 13271/22118400], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 574787/597196800], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 3259/13271040], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 4309/2654208], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 6553/16588800], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 1229/9953280], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 149/1658880], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 168883/238878720], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1/129600], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 809/3686400], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 493/1105920], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 211/8847360], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 269/26542080], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 589/7372800], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 511/2211840], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 3059/8847360], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 11/276480], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 637/5529600], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 1733/5529600], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 46981/53084160], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 1903/5308416], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 15023/132710400], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 4256789/2123366400], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 25073/132710400], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 4817/53084160], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 31609/265420800], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 284701/238878720], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 821/5529600], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 2207/8847360], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 14947/132710400], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 503987/796262400], [[[1, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 1/2211840], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 7/921600], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/230400], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 13/921600], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/737280], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 11/691200], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 3]], 1/2488320], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 7/1658880], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 1/414720], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/207360], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 1/368640], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/1990656], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 7/1244160], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/4478976], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 551/1382400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 7/13271040], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 5/147456], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 149/2949120], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 89/35389440], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 841/13824000], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 11/3317760], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 197/2457600], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 3617/159252480], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 1/589824], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 23/368640], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 17/2073600], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 11/204800], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/663552], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 1/2457600], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 401/2488320], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 787/9953280], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 1/82944], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 1981/79626240], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 4159/24883200], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 73/6635520], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 2327/59719680], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 67/4608000], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 1/163840], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 253/22118400], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/4423680], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/1228800], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/245760], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 1/1769472], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 1/5529600], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/921600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 643/53084160], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 7243/11059200], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 167/2654208], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 2569/8847360], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 1/36864], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 50567/106168320], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 37/2764800], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 629/8294400], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 121/1843200], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 1/442368], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 1/737280], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 3167/4423680], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 35653/119439360], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 71/589824], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 27581/39813120], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 15097/49766400], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 431/9953280], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 1/61440], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 430481/1074954240], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 107/1474560], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 623/5529600], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1/327680], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/5308416], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 89/7372800], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 67/1105920], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 17/589824], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 1/294912], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 7/368640], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 101509/199065600], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 52913/159252480], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 7193/26542080], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 2843/66355200], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 3873977/3185049600], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 4651/26542080], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 5011/106168320], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 10339/265420800], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 448127/477757440], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 6877/66355200], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 127/1474560], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 61/3317760], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 503987/796262400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 61/460800], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 1/92160], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 1/17694720], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 67/6912000], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 169/7372800], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 187/159252480], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 1/884736], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 11/66355200], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 73/5529600], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 1/18432], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 7/9953280], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 1/663552], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 299/79626240], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 259/6220800], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 7/6635520], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 1139/179159040], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 19/13824000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 11/22118400], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 19/53084160], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 11849/33177600], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 1/196608], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 139/2949120], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 845/21233664], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 19/8294400], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 311/8294400], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 13/1843200], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 3439/6635520], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1693/53084160], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 37/884736], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 3331/19906560], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 3629/24883200], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 7/829440], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 169379/1074954240], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 13/737280], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 61/4423680], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 1/8847360], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 1/2457600], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 7/442368], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1/884736], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 26827/49766400], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 119821/2388787200], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 3097/26542080], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 107/14745600], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 4475/10616832], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 42799/398131200], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 319/24883200], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 1529/265420800], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 56809/119439360], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 1547/33177600], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 1/73728], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 11/8847360], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 643841/1592524800], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 1/57600], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1/737280], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 19/55296000], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 73/22118400], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 7/5529600], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 1/138240], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 7/26542080], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 137/33177600], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 41/179159040], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/13824000], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 3551/33177600], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 1/13271040], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 1/589824], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 293/106168320], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1/8294400], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 7/691200], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 293/1327104], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 889/477757440], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 1/110592], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 137/8847360], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 317/8294400], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 11/9953280], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 54229/1433272320], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 1/368640], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 13/22118400], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 4909/13271040], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 11299/2388787200], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 907/26542080], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 503011/6370099200], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 92401/1990656000], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 3529/1592524800], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 7/29491200], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 1158701/7166361600], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 16703/995328000], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 1/1769472], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 90991/530841600], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 311/22118400], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 1/35389440], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 11/8294400], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 247/4915200], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 1/29859840], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 7/8847360], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 1/1244160], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 467/99532800], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 1/19906560], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 17447/4299816960], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 1/7372800], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 1/11059200], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 1559/9953280], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 23/88473600], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 19/2654208], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 2567/235929600], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 49873/3981312000], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 49/176947200], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 251249/7166361600], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 803/248832000], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 62887/1194393600], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 11/33177600], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 1/16588800], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 23/4915200], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/79626240], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 17/99532800], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 23/268738560], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 15239/398131200], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 17/1194393600], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 23/26542080], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 1289/1592524800], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 6967/3981312000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 17/796262400], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 3709/796262400], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 23/73728000], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 871/71663616], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 13/2764800], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/2388787200], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 1/26542080], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 97/3185049600], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 413/3981312000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/1592524800], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1889/7166361600], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 17/995328000], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 25739/14332723200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 1/4915200], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/6370099200], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 7/3981312000], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 41/7166361600], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/1990656000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 701/4777574400], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 23/3583180800], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/7166361600], [[[2, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1/36864], [[[2, 5], [4, 2], [6, 2], [10, 1], [30, 1]], 1/3840], [[[2, 7], [3, 2], [4, 2], [6, 3], [12, 1]], 1/27648], [[[2, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 1/2211840], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/5184], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [18, 2]], 1/13824], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 4], [12, 1]], 1/41472], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [18, 2]], 1/2160], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [30, 1]], 1/600], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 2], [12, 1]], 1/13824], [[[1, 1], [2, 4], [3, 3], [4, 4], [6, 1], [12, 1]], 1/110592], [[[1, 1], [2, 4], [4, 1], [6, 3], [9, 1], [18, 1]], 1/1728], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [30, 1]], 1/3840], [[[1, 1], [2, 4], [6, 2], [8, 1], [9, 1], [18, 1]], 1/1152], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/5184], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/3456], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 7/36864], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 1/49152], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/49152], [[[1, 1], [2, 6], [3, 1], [6, 2], [9, 1], [18, 1]], 1/3456], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/540], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [12, 1]], 1/6912], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [12, 1]], 1/6144], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [10, 1]], 1/17280], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [12, 1]], 1/82944], [[[1, 1], [2, 6], [4, 1], [6, 2], [9, 1], [18, 1]], 1/13824], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [30, 1]], 1/768], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/345600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/1244160], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 1/4608], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/307200], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/552960], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 1/36864], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 17/552960], [[[1, 1], [2, 8], [3, 1], [6, 1], [9, 1], [18, 1]], 1/276480], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [30, 1]], 1/230400], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [12, 1]], 1/27648], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 11/1105920], [[[1, 1], [2, 8], [3, 3], [4, 2], [6, 1], [12, 1]], 1/6635520], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/345600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 1/622080], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 1/368640], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/552960], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2949120], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 11/26542080], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [12, 1]], 1/2211840], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 7/8294400], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/22118400], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 1/24883200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [9, 2]], 1/5184], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/5184], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [18, 2]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [12, 1]], 1/20736], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [12, 1]], 1/110592], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 2]], 1/3456], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [18, 2]], 1/3456], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [18, 2]], 1/2160], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [30, 1]], 1/600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [18, 2]], 1/5184], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [18, 1]], 1/4608], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/36864], [[[1, 2], [2, 3], [3, 2], [9, 1], [10, 1], [18, 1]], 1/720], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [12, 1]], 1/6912], [[[1, 2], [2, 3], [3, 3], [4, 4], [6, 1], [12, 1]], 1/55296], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [12, 1]], 1/41472], [[[1, 2], [2, 3], [4, 1], [6, 3], [9, 1], [18, 1]], 1/1728], [[[1, 2], [2, 3], [4, 2], [6, 2], [9, 1], [18, 1]], 1/4608], [[[1, 2], [2, 3], [5, 1], [6, 2], [9, 1], [18, 1]], 1/720], [[[1, 2], [2, 3], [6, 2], [8, 1], [9, 1], [18, 1]], 1/1152], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [30, 1]], 1/960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 2]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [18, 2]], 5/13824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 1/5184], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 5/10368], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 17/55296], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 7/110592], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/24576], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1/16384], [[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 1/864], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 1/576], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/864], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/540], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/1296], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 1/4608], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 55/82944], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [6, 2]], 1/92160], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 79/110592], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 1/18432], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/12288], [[[1, 2], [2, 5], [3, 2], [6, 1], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/720], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [8, 1]], 1/27648], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 1/8640], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1/5184], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [12, 1]], 1/18432], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [10, 1]], 1/51840], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 2], [2, 5], [4, 1], [6, 2], [9, 1], [18, 1]], 7/13824], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 7/3840], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6400], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/86400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 5/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/311040], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 1/1536], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/76800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 407/442368], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/9216], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 11/61440], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 7/49152], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/46080], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 293/2211840], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [18, 1]], 7/92160], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [30, 1]], 7/76800], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 3]], 1/46080], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/115200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/207360], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/1728], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 247/1105920], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1553/6635520], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 1/82944], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [12, 1]], 11/3317760], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/19200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/30720], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 173/2764800], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 137/4976640], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 7/122880], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 1/18432], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1/61440], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 3/81920], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 11/1474560], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/245760], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 253/26542080], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [6, 2]], 1/921600], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 47/6635520], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 1/207360], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 17/1105920], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/1327104], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/921600], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 17/460800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 253/8294400], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1474560], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 11/2457600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 13/26542080], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1843200], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/8294400], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 1/184320], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 541/398131200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 2]], 1/5184], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 2]], 1/13824], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 1/41472], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 3], [12, 1]], 1/55296], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [9, 2]], 1/2160], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [15, 1]], 1/600], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 2]], 1/3456], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [18, 2]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/5184], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [18, 2]], 1/5184], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [18, 1]], 1/4608], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/36864], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [15, 1]], 1/960], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 1], [18, 1]], 1/1152], [[[1, 3], [2, 2], [3, 2], [9, 1], [10, 1], [18, 1]], 1/720], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [18, 1]], 1/1728], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/110592], [[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [12, 1]], 1/20736], [[[1, 3], [2, 2], [4, 2], [6, 2], [9, 1], [18, 1]], 1/4608], [[[1, 3], [2, 2], [5, 1], [6, 2], [9, 1], [18, 1]], 1/720], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 2]], 7/41472], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [18, 2]], 7/13824], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/9600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 11/20736], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 47/110592], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/15360], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 23/110592], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/49152], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/12288], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [15, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/432], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/576], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/864], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 1/51840], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/7200], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [15, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/1728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/1296], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [18, 1]], 5/4608], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 1/4608], [[[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]], 17/10368], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/46080], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/46080], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/92160], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 25/36864], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 25/110592], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [18, 1]], 1/576], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 1/1440], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 1/1152], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 1/1152], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/720], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 1/1728], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 1/9216], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 35/27648], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 5/13824], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [12, 1]], 1/20736], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 3], [2, 4], [4, 1], [6, 2], [9, 1], [18, 1]], 7/4608], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 7/11520], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/92160], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 3/6400], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/3840], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 7/3456], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/207360], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 23/20736], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/51200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 397/221184], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/10240], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 19/110592], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 109/184320], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/30720], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 17/49152], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 1081/2211840], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [15, 1]], 1/46080], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 19/55296], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 1/2560], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 11/103680], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 1/13824], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 5/4608], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 5/82944], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/12960], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 181/82944], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 5/73728], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6144], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 143/276480], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 3203/1327104], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 11/55296], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 17/55296], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/14400], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/18432], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 1/207360], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 11/138240], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 7/20736], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 137/2211840], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 13/25600], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 7/92160], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/5120], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 1/921600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 13/51200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/221184], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 29/276480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 125/442368], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/18432], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 7/27648], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 7/138240], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 517/2211840], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 2633/8847360], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 61/245760], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 2527/13271040], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 7/138240], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 101/4147200], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 11/2764800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 259/6635520], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 143/414720], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1409/6635520], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/55296], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1/92160], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 7/442368], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 1/69120], [[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1658880], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/221184], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/165888], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 23/368640], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 17/921600], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 1/36864], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 11/51200], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1105920], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 7/221184], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 559/2764800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 13/2211840], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 7/3686400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 37/1769472], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1381/22118400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 61/5308416], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 11/921600], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 19/5529600], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 19/8294400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/1327104], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 9/204800], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 2663/132710400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/13271040], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [9, 2]], 1/13824], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 3], [12, 1]], 1/110592], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [9, 2]], 1/2160], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [15, 1]], 1/600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/5184], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/3840], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 1/13824], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [15, 1]], 1/960], [[[1, 4], [2, 1], [3, 2], [8, 1], [9, 1], [18, 1]], 1/1152], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [18, 1]], 1/1728], [[[1, 4], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 1/41472], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 7/13824], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 7/41472], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 1/20736], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 5/13824], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 25/110592], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/49152], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 1/12288], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [15, 1]], 1/1440], [[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/576], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 1/25920], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 7/11520], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [18, 1]], 7/4608], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/4608], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 35/27648], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/92160], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/92160], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 25/36864], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 23/110592], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 1/576], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/720], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 1/432], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 1/1440], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 1/1152], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/1152], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/1296], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/1728], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/9216], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 17/10368], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 47/110592], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/864], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/51840], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 11/20736], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/7200], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 4], [2, 3], [4, 1], [6, 2], [9, 1], [18, 1]], 5/4608], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 1/11520], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/46080], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 3/6400], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/1440], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/28800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/86400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 7/10368], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/311040], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 29/41472], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/307200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1/2048], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/76800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 2615/1327104], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/5120], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 5/18432], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 17/55296], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 119/110592], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/3072], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/18432], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 889/1105920], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [15, 1]], 13/46080], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/19200], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/12800], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 13/18432], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 13/23040], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 47/207360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/345600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/19200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 7/13824], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 7/4608], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 7/82944], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/6912], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 73/20736], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 19/92160], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 11/46080], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/2048], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 239/552960], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 5263/1327104], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/11520], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 5/12288], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 13/13824], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/9216], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4800], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/12960], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1/10368], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/27648], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 23/103680], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 61/27648], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 383/331776], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 1/1244160], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 1/41472], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 19/28800], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 29/92160], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 39/25600], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 19/46080], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 23/92160], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 17/460800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 1/12288], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1241/2764800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 47/663552], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 881/4976640], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 73/110592], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 79/276480], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 17/46080], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 29/55296], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 77/276480], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 4783/6635520], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/3072], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 31/147456], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1799/1769472], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 17/24576], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1061/1474560], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 19/69120], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 199/1036800], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/184320], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 137/1843200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1997/6635520], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 241/276480], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1139/1327104], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/276480], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 13/55296], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 5/18432], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 2137/6635520], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 1/6912], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 11/829440], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 5/221184], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/12960], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 163/2211840], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 61/184320], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 83/184320], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 1/18432], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 109/153600], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5120], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4608], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 13/184320], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 7/368640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 1/5184], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 4763/8294400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 121/2211840], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 403/11059200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 2657/8847360], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 12419/22118400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 623/6635520], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/368640], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 653/5529600], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 37/1843200], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/138240], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 5/221184], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 67/2764800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 7/442368], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 517/1843200], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 5/36864], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 19/14745600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 67/5308416], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 11593/99532800], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 13/6635520], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 5/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/41472], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/9600], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/24576], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/16384], [[[1, 5], [2, 2], [3, 1], [6, 2], [9, 1], [18, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 1/51840], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 7/3840], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [18, 1]], 7/13824], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 1/4608], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 1/5184], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 79/110592], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 7/110592], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/576], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/720], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 1/864], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 1/8640], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/1296], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 1/27648], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/3456], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 55/82944], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 17/55296], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/540], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/864], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/5184], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 5/10368], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 19/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/19200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/345600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/10368], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/1244160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 1/41472], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/76800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 1/2048], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/307200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/552960], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 383/331776], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/2560], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 23/92160], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 5/12288], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 13/13824], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 19/46080], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/18432], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1/3072], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 889/1105920], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 13/23040], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/12800], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 13/18432], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 13/46080], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 23/103680], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/86400], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 7/4608], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 7/13824], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/27648], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/12960], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 61/27648], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 239/552960], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 29/92160], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1/2048], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 19/92160], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 5263/1327104], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/5760], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 17/55296], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 119/110592], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/7680], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4800], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/9216], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/6912], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 7/10368], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 7/82944], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 47/207360], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 73/20736], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/13824], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 2615/1327104], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/311040], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 29/41472], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1440], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 11/46080], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 39/25600], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/2304], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 5/18432], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/5120], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/12960], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 173/921600], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 1/4096], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 281/691200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 47/331776], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 191/1244160], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 965/1327104], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 91/138240], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/5120], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 13/11520], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 13/18432], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 257/552960], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 2609/2211840], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1152], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 463/737280], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 2851/1769472], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 319/368640], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 13/10240], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 11/34560], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 11/69120], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1061/2073600], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/36864], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 19/55296], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 335/442368], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1451/1658880], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 2203/1327104], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 25/110592], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 11/18432], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 19/27648], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 6389/6635520], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 13/138240], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 7/23040], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 113/1658880], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 31/331776], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/6480], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 241/663552], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 599/1105920], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 389/307200], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1/18432], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 19/23040], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 119/92160], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 7/23040], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 623/1658880], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/61440], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 2137/5529600], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 349/663552], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 8357/8294400], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1279/6635520], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1/6144], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 9901/22118400], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 10843/8847360], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 32881/22118400], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 11557/33177600], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 7/368640], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 2659/5529600], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 529/5529600], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 137/1658880], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 1/6144], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 3139/8294400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 637/6635520], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 4783/5529600], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 13/46080], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 3883/132710400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 3253/26542080], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 43171/99532800], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 23/1474560], [[[1, 5], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/49152], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/49152], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/768], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [18, 1]], 1/13824], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/82944], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/6144], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 6], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/3456], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 1/17280], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/3456], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 7/36864], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/540], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/5184], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/3600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 1/28800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/51200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/6144], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 137/2211840], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/5120], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 7/92160], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 11/55296], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 17/55296], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 17/49152], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1081/2211840], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 1/2560], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/19200], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 6], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 19/55296], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 1/46080], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 11/138240], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/115200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 5/4608], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/13824], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/207360], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 7/20736], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 143/276480], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6144], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 5/73728], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 3203/1327104], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 19/110592], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 109/184320], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/14400], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/12960], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 7/3456], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 5/82944], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 11/103680], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 181/82944], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 397/221184], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/207360], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 23/20736], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3840], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 13/25600], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/6144], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/10240], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/6480], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 281/691200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 1/4096], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 173/921600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 31/331776], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 113/1658880], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 241/663552], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 19/27648], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/2560], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 119/92160], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 11/18432], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 25/110592], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 6389/6635520], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 19/23040], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 319/368640], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 2851/1769472], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 463/737280], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 13/10240], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 7/23040], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 7/23040], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 13/138240], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1451/1658880], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/18432], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 599/1105920], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 335/442368], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1061/2073600], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 2203/1327104], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 257/552960], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 13/18432], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 91/138240], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 2609/2211840], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 11/69120], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 11/34560], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 191/1244160], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 47/331776], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/12960], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 965/1327104], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 19/55296], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 389/307200], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/36864], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1152], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 13/11520], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5120], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1453/1658880], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 7/46080], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 6389/5529600], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 119/165888], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 113/110592], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 689/2211840], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 1/2304], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 29347/22118400], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 4097/1769472], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 2797/1474560], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 43237/66355200], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 7/73728], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 5147/5529600], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 871/5529600], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 163/331776], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 109/221184], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 7691/8294400], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 1649/6635520], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 19/46080], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 2609/1843200], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 59/184320], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 8207/33177600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 13931/26542080], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 4093/4423680], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 3749/66355200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/19200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/115200], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/76800], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 11/3317760], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/110592], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/46080], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 7/49152], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 293/2211840], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 7/76800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 7], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 7/92160], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/86400], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 1/82944], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 247/1105920], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/30720], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1553/6635520], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/9216], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 11/61440], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/207360], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 5/3456], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 1/46080], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/1728], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 407/442368], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/311040], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 1/1536], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/12960], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1241/2764800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 1/12288], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 17/460800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 5/221184], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 11/829440], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 163/2211840], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 5/18432], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/5120], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 109/153600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 13/55296], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/276480], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 2137/6635520], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/2880], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 17/24576], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1799/1769472], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 31/147456], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1061/1474560], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 1/6912], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/4608], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 241/276480], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 1/18432], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 61/184320], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1997/6635520], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 199/1036800], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1139/1327104], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 77/276480], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 29/55296], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 79/276480], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 4783/6635520], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 19/69120], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 881/4976640], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 47/663552], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 73/110592], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 137/1843200], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 83/184320], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3072], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 17/46080], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 7691/8294400], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 59/184320], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 2609/1843200], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 109/221184], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 163/331776], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 1649/6635520], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 19/46080], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 2797/1474560], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 4097/1769472], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 29347/22118400], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 43237/66355200], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 871/5529600], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 5147/5529600], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 7/73728], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 113/110592], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 119/165888], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1453/1658880], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 689/2211840], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2304], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 6389/5529600], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 7/46080], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 24737/33177600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 617/589824], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 14803/13271040], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 6937/66355200], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/307200], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/6635520], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1]], 1/230400], [[[1, 8], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/276480], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/345600], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 11/1105920], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/36864], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 17/552960], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 1/27648], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/1244160], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 1/4608], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 13/51200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/921600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/221184], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1658880], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1/165888], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/92160], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 11/51200], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/55296], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 7/442368], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/15360], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 61/245760], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 2633/8847360], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 2527/13271040], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 143/414720], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 1/36864], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 23/368640], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 259/6635520], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 101/4147200], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1409/6635520], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 7/138240], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 7/27648], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/18432], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 517/2211840], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 7/138240], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 29/276480], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/221184], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 125/442368], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 11/2764800], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 17/921600], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 3139/8294400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 13/46080], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 4783/5529600], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 1/6144], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 137/1658880], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 637/6635520], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 1/5760], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 32881/22118400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 10843/8847360], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 9901/22118400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 11557/33177600], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 529/5529600], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 2659/5529600], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 7/368640], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 8357/8294400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 349/663552], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 623/1658880], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 1279/6635520], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/6144], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 2137/5529600], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 14803/13271040], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 617/589824], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 24737/33177600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 6937/66355200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 173/2764800], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/6635520], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 17/460800], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/1327104], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/245760], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 11/1474560], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 253/26542080], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/207360], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 1/184320], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 47/6635520], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 1/921600], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 17/1105920], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/61440], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/18432], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 3/81920], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 137/4976640], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 7/122880], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5529600], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/921600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 67/2764800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 5/36864], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 517/1843200], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 5/221184], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/138240], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 7/442368], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/30720], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 12419/22118400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 2657/8847360], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 403/11059200], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 623/6635520], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 37/1843200], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 653/5529600], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 4763/8294400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 1/5184], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 13/184320], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 121/2211840], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 7/368640], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 4093/4423680], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 13931/26542080], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 8207/33177600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 3749/66355200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/345600], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2949120], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 11/26542080], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/2211840], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 1/622080], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/368640], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 19/8294400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 1/23040], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 9/204800], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/1327104], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 1381/22118400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 37/1769472], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 7/3686400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 61/5308416], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 19/5529600], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 11/921600], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 559/2764800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 7/221184], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 13/2211840], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 43171/99532800], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 3253/26542080], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 3883/132710400], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 23/1474560], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/8294400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 1/184320], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 11/2457600], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1474560], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 13/26542080], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/5529600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1843200], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 253/8294400], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 11593/99532800], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 67/5308416], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 19/14745600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 13/6635520], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/22118400], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 7/8294400], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 2663/132710400], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/13271040], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 541/398131200], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/24883200], [[[2, 5], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/1440], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/3840], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/30720], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/720], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/960], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/23040], [[[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], [10, 1]], 1/30720], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 13/92160], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1843200], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1843200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/1728], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824], [[[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], [12, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/960], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/960], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/720], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/1728], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/1440], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/3072], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/768], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 37/27648], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/960], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 5/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5120], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 11/23040], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/14400], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 7/2880], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/4608], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5120], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 37/2764800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17/1105920], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 61/368640], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120], [[[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]], 11/921600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1843200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/1440], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/1728], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/30720], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/960], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/720], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/576], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/960], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/1440], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/1728], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/1440], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/3072], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 19/17280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 7/3456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/3840], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 19/13824], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 19/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 3/5120], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2048], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 67/92160], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4800], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 3/1024], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 13/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1728], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/864], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 19/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 5/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 311/460800], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1369/5529600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 271/1105920], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 23/36864], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4608], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4608], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/61440], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1553/5529600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 37/2764800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 3/20480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 17/1105920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/40960], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/4608], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/30720], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/720], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/1440], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2880], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/3840], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/864], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 7/3456], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/11520], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/1728], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 67/92160], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2048], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 3/5120], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 13/5760], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 3/1024], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 7/27648], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 19/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 19/13824], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 19/17280], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/17280], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 19/34560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 161/153600], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1037/1382400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 49/73728], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 359/368640], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/23040], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520], [[[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]], 1/1728], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/23040], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/12288], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 6031/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 469/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/36864], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 91/1105920], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 3/20480], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/768], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/4608], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 11/23040], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5120], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/14400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 7/2880], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 5/27648], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/960], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 37/27648], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/23040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1728], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/23040], [[[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]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 161/153600], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 359/368640], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 49/73728], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1037/1382400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/27648], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 19/34560], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 31/92160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 10763/5529600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 317/1382400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 59/92160], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/73728], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 103/368640], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 13/92160], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/23040], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1536], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 311/460800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 23/36864], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 271/1105920], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1369/5529600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 19/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 5/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 59/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 10763/5529600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 103/368640], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 31/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/73728], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 317/1382400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5120], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 61/368640], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17/1105920], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 37/2764800], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/23040], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/36864], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 6031/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 3/20480], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/12288], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 91/1105920], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 469/5529600], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1843200], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 3/20480], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1553/5529600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/40960], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 17/1105920], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 37/2764800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 11/921600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1843200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1843200], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1600], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800] ]}