{[ [[[1, 25]], 1/51368479948800], [[[2, 25]], 1/51368479948800], [[[1, 1], [2, 24]], 23/17122826649600], [[[1, 2], [2, 23]], 341/8561413324800], [[[1, 3], [2, 22]], 17237/25684239974400], [[[1, 4], [2, 21]], 183851/25684239974400], [[[1, 5], [2, 20]], 9703/190253629440], [[[1, 6], [2, 19]], 713603/2853804441600], [[[1, 7], [2, 18]], 22056737/25684239974400], [[[1, 8], [2, 17]], 35811229/17122826649600], [[[1, 9], [2, 16]], 62684177/17122826649600], [[[1, 10], [2, 15]], 1016921/214035333120], [[[1, 11], [2, 14]], 1069993/214035333120], [[[1, 11], [3, 7]], 1/559872], [[[1, 12], [2, 13]], 10616029/2140353331200], [[[1, 13], [2, 12]], 10616029/2140353331200], [[[1, 13], [3, 6]], 221/89579520], [[[1, 14], [2, 11]], 1069993/214035333120], [[[1, 15], [2, 10]], 1016921/214035333120], [[[1, 15], [3, 5]], 137/167215104], [[[1, 16], [2, 9]], 62684177/17122826649600], [[[1, 17], [2, 8]], 35811229/17122826649600], [[[1, 17], [3, 4]], 23321/200658124800], [[[1, 17], [5, 2]], 1/265420800], [[[1, 18], [2, 7]], 22056737/25684239974400], [[[1, 19], [2, 6]], 713603/2853804441600], [[[1, 19], [3, 3]], 1/125411328], [[[1, 19], [7, 1]], 1/8918138880], [[[1, 20], [2, 5]], 9703/190253629440], [[[1, 21], [2, 4]], 183851/25684239974400], [[[1, 21], [3, 2]], 563/2140353331200], [[[1, 21], [4, 2]], 1/4280706662400], [[[1, 21], [5, 1]], 31/1070176665600], [[[1, 22], [2, 3]], 17237/25684239974400], [[[1, 23], [2, 2]], 341/8561413324800], [[[1, 23], [3, 1]], 1/256842399744], [[[1, 24], [2, 1]], 23/17122826649600], [[[2, 11], [6, 7]], 1/559872], [[[2, 13], [6, 6]], 221/89579520], [[[2, 15], [6, 5]], 137/167215104], [[[2, 17], [6, 4]], 23321/200658124800], [[[2, 17], [10, 2]], 1/265420800], [[[2, 19], [6, 3]], 1/125411328], [[[2, 19], [14, 1]], 1/8918138880], [[[2, 21], [4, 2]], 1/4280706662400], [[[2, 21], [6, 2]], 563/2140353331200], [[[2, 21], [10, 1]], 31/1070176665600], [[[2, 23], [6, 1]], 1/256842399744], [[[1, 1], [2, 10], [6, 7]], 1/186624], [[[1, 1], [2, 12], [6, 6]], 529/29859840], [[[1, 1], [2, 14], [6, 5]], 3217/278691840], [[[1, 1], [2, 16], [6, 4]], 24437/9555148800], [[[1, 1], [2, 16], [10, 2]], 29/265420800], [[[1, 1], [2, 18], [4, 3]], 29/237817036800], [[[1, 1], [2, 18], [6, 3]], 2071/8360755200], [[[1, 1], [2, 18], [14, 1]], 41/8918138880], [[[1, 1], [2, 20], [4, 2]], 19/1426902220800], [[[1, 1], [2, 20], [6, 2]], 3919/356725555200], [[[1, 1], [2, 20], [10, 1]], 697/535088332800], [[[1, 1], [2, 22], [4, 1]], 11/951268147200], [[[1, 1], [2, 22], [6, 1]], 451/2140353331200], [[[1, 2], [2, 9], [6, 7]], 1/186624], [[[1, 2], [2, 11], [4, 6]], 1/23592960], [[[1, 2], [2, 11], [6, 6]], 1247/29859840], [[[1, 2], [2, 13], [6, 5]], 109/1935360], [[[1, 2], [2, 15], [4, 4]], 157/14863564800], [[[1, 2], [2, 15], [6, 4]], 1430537/66886041600], [[[1, 2], [2, 15], [10, 2]], 331/265420800], [[[1, 2], [2, 17], [4, 3]], 3197/713451110400], [[[1, 2], [2, 17], [6, 3]], 206623/66886041600], [[[1, 2], [2, 17], [14, 1]], 43/557383680], [[[1, 2], [2, 19], [4, 2]], 229/118908518400], [[[1, 2], [2, 19], [6, 2]], 2153/11324620800], [[[1, 2], [2, 19], [10, 1]], 26281/1070176665600], [[[1, 2], [2, 21], [3, 1]], 1/1605264998400], [[[1, 2], [2, 21], [4, 1]], 197/342456532992], [[[1, 2], [2, 21], [6, 1]], 10351/2140353331200], [[[1, 3], [2, 8], [4, 7]], 5/1048576], [[[1, 3], [2, 8], [6, 7]], 1/559872], [[[1, 3], [2, 10], [4, 6]], 17/23592960], [[[1, 3], [2, 10], [6, 6]], 775/17915904], [[[1, 3], [2, 12], [4, 5]], 179/440401920], [[[1, 3], [2, 12], [6, 5]], 1879/14929920], [[[1, 3], [2, 14], [4, 4]], 101/424673280], [[[1, 3], [2, 14], [6, 4]], 502849/5733089280], [[[1, 3], [2, 14], [10, 2]], 653/88473600], [[[1, 3], [2, 16], [4, 3]], 101221/713451110400], [[[1, 3], [2, 16], [6, 3]], 2018981/100329062400], [[[1, 3], [2, 16], [14, 1]], 103/148635648], [[[1, 3], [2, 18], [4, 2]], 32807/535088332800], [[[1, 3], [2, 18], [6, 2]], 956839/535088332800], [[[1, 3], [2, 18], [10, 1]], 22777/89181388800], [[[1, 3], [2, 20], [3, 1]], 19/535088332800], [[[1, 3], [2, 20], [4, 1]], 103723/8561413324800], [[[1, 3], [2, 20], [6, 1]], 56851/917294284800], [[[1, 4], [2, 7], [4, 7]], 15/1048576], [[[1, 4], [2, 9], [4, 6]], 139/4718592], [[[1, 4], [2, 9], [6, 6]], 367/17915904], [[[1, 4], [2, 11], [4, 5]], 5329/792723456], [[[1, 4], [2, 11], [6, 5]], 961/6635520], [[[1, 4], [2, 13], [4, 4]], 52079/14863564800], [[[1, 4], [2, 13], [6, 4]], 260999/1337720832], [[[1, 4], [2, 13], [10, 2]], 3341/132710400], [[[1, 4], [2, 15], [4, 3]], 46453/20384317440], [[[1, 4], [2, 15], [6, 3]], 15103381/200658124800], [[[1, 4], [2, 15], [14, 1]], 32857/8918138880], [[[1, 4], [2, 17], [4, 2]], 1233383/1426902220800], [[[1, 4], [2, 17], [6, 2]], 7208213/713451110400], [[[1, 4], [2, 17], [10, 1]], 1741627/1070176665600], [[[1, 4], [2, 19], [3, 1]], 1/1194393600], [[[1, 4], [2, 19], [4, 1]], 1216781/8561413324800], [[[1, 4], [2, 19], [6, 1]], 1053571/2140353331200], [[[1, 5], [2, 6], [4, 7]], 5/262144], [[[1, 5], [2, 8], [4, 6]], 331/2949120], [[[1, 5], [2, 8], [6, 6]], 1/221184], [[[1, 5], [2, 10], [4, 5]], 162643/1981808640], [[[1, 5], [2, 10], [6, 5]], 1801/19906560], [[[1, 5], [2, 12], [4, 4]], 972157/29727129600], [[[1, 5], [2, 12], [6, 4]], 79679/318504960], [[[1, 5], [2, 12], [10, 2]], 1397/26542080], [[[1, 5], [2, 14], [4, 3]], 151019/7927234560], [[[1, 5], [2, 14], [6, 3]], 157757/928972800], [[[1, 5], [2, 14], [14, 1]], 108749/8918138880], [[[1, 5], [2, 16], [4, 2]], 634493/95126814720], [[[1, 5], [2, 16], [6, 2]], 2565973/71345111040], [[[1, 5], [2, 16], [10, 1]], 716099/107017666560], [[[1, 5], [2, 18], [3, 1]], 4327/401316249600], [[[1, 5], [2, 18], [4, 1]], 2940169/2853804441600], [[[1, 5], [2, 18], [6, 1]], 1818401/713451110400], [[[1, 6], [2, 5], [4, 7]], 5/262144], [[[1, 6], [2, 7], [3, 6]], 1/17915904], [[[1, 6], [2, 7], [4, 6]], 4339/23592960], [[[1, 6], [2, 7], [6, 6]], 5/5971968], [[[1, 6], [2, 9], [3, 5]], 1/23887872], [[[1, 6], [2, 9], [4, 5]], 695069/1981808640], [[[1, 6], [2, 9], [6, 5]], 61/1866240], [[[1, 6], [2, 11], [3, 4]], 1/127401984], [[[1, 6], [2, 11], [4, 4]], 1122199/5945425920], [[[1, 6], [2, 11], [5, 2]], 1/9830400], [[[1, 6], [2, 11], [6, 4]], 258049/1337720832], [[[1, 6], [2, 11], [10, 2]], 9347/132710400], [[[1, 6], [2, 13], [4, 3]], 517931/5662310400], [[[1, 6], [2, 13], [6, 3]], 8009363/33443020800], [[[1, 6], [2, 13], [7, 1]], 109/2972712960], [[[1, 6], [2, 13], [14, 1]], 29009/1114767360], [[[1, 6], [2, 15], [4, 2]], 131101/4246732800], [[[1, 6], [2, 15], [6, 2]], 177642569/2140353331200], [[[1, 6], [2, 15], [10, 1]], 2796667/152882380800], [[[1, 6], [2, 17], [3, 1]], 45043/535088332800], [[[1, 6], [2, 17], [4, 1]], 41539877/8561413324800], [[[1, 6], [2, 17], [6, 1]], 18933239/2140353331200], [[[1, 7], [2, 4], [4, 7]], 15/1048576], [[[1, 7], [2, 6], [3, 6]], 5/5971968], [[[1, 7], [2, 6], [4, 6]], 4339/23592960], [[[1, 7], [2, 6], [6, 6]], 1/17915904], [[[1, 7], [2, 8], [3, 5]], 23/23887872], [[[1, 7], [2, 8], [4, 5]], 11653/17694720], [[[1, 7], [2, 8], [6, 5]], 23/2985984], [[[1, 7], [2, 10], [3, 4]], 139/382205952], [[[1, 7], [2, 10], [4, 4]], 2591747/4246732800], [[[1, 7], [2, 10], [5, 2]], 11/5898240], [[[1, 7], [2, 10], [6, 4]], 29537/318504960], [[[1, 7], [2, 10], [10, 2]], 301/4915200], [[[1, 7], [2, 12], [3, 3]], 1199/13377208320], [[[1, 7], [2, 12], [4, 3]], 13206643/47563407360], [[[1, 7], [2, 12], [6, 3]], 435895/2006581248], [[[1, 7], [2, 12], [7, 1]], 109/141557760], [[[1, 7], [2, 12], [14, 1]], 2287/61931520], [[[1, 7], [2, 14], [3, 2]], 3431/428070666240], [[[1, 7], [2, 14], [4, 2]], 2320123/25480396800], [[[1, 7], [2, 14], [5, 1]], 3431/118908518400], [[[1, 7], [2, 14], [6, 2]], 33964769/267544166400], [[[1, 7], [2, 14], [8, 1]], 1/185794560], [[[1, 7], [2, 14], [10, 1]], 216313/6370099200], [[[1, 7], [2, 16], [3, 1]], 223511/535088332800], [[[1, 7], [2, 16], [4, 1]], 9341543/611529523200], [[[1, 7], [2, 16], [6, 1]], 2989633/142690222080], [[[1, 7], [4, 3], [8, 3]], 1/737280], [[[1, 8], [2, 3], [3, 7]], 1/559872], [[[1, 8], [2, 3], [4, 7]], 5/1048576], [[[1, 8], [2, 5], [3, 6]], 1/221184], [[[1, 8], [2, 5], [4, 6]], 331/2949120], [[[1, 8], [2, 7], [3, 5]], 23/2985984], [[[1, 8], [2, 7], [4, 5]], 11653/17694720], [[[1, 8], [2, 7], [6, 5]], 23/23887872], [[[1, 8], [2, 9], [3, 4]], 1873/382205952], [[[1, 8], [2, 9], [4, 4]], 31968437/29727129600], [[[1, 8], [2, 9], [5, 2]], 329/29491200], [[[1, 8], [2, 9], [6, 4]], 53893/1911029760], [[[1, 8], [2, 9], [10, 2]], 2999/88473600], [[[1, 8], [2, 11], [3, 3]], 1789/955514880], [[[1, 8], [2, 11], [4, 3]], 83693651/142690222080], [[[1, 8], [2, 11], [6, 3]], 173095/1337720832], [[[1, 8], [2, 11], [7, 1]], 3961/743178240], [[[1, 8], [2, 11], [14, 1]], 35387/990904320], [[[1, 8], [2, 13], [3, 2]], 13037/42807066624], [[[1, 8], [2, 13], [4, 2]], 43923743/237817036800], [[[1, 8], [2, 13], [5, 1]], 111323/178362777600], [[[1, 8], [2, 13], [6, 2]], 280920089/2140353331200], [[[1, 8], [2, 13], [8, 1]], 41/371589120], [[[1, 8], [2, 13], [10, 1]], 5182453/118908518400], [[[1, 8], [2, 15], [3, 1]], 2915533/2140353331200], [[[1, 8], [2, 15], [4, 1]], 141363967/4280706662400], [[[1, 8], [2, 15], [6, 1]], 73599557/2140353331200], [[[1, 9], [2, 2], [3, 7]], 1/186624], [[[1, 9], [2, 4], [3, 6]], 367/17915904], [[[1, 9], [2, 4], [4, 6]], 139/4718592], [[[1, 9], [2, 6], [3, 5]], 61/1866240], [[[1, 9], [2, 6], [4, 5]], 695069/1981808640], [[[1, 9], [2, 6], [6, 5]], 1/23887872], [[[1, 9], [2, 8], [3, 4]], 53893/1911029760], [[[1, 9], [2, 8], [4, 4]], 31968437/29727129600], [[[1, 9], [2, 8], [5, 2]], 2999/88473600], [[[1, 9], [2, 8], [6, 4]], 1873/382205952], [[[1, 9], [2, 8], [10, 2]], 329/29491200], [[[1, 9], [2, 10], [3, 3]], 25849/1911029760], [[[1, 9], [2, 10], [4, 3]], 155360137/178362777600], [[[1, 9], [2, 10], [6, 3]], 6179/119439360], [[[1, 9], [2, 10], [7, 1]], 659/41287680], [[[1, 9], [2, 10], [14, 1]], 76289/2972712960], [[[1, 9], [2, 12], [3, 2]], 174889/47563407360], [[[1, 9], [2, 12], [4, 2]], 68142413/237817036800], [[[1, 9], [2, 12], [5, 1]], 181739/39636172800], [[[1, 9], [2, 12], [6, 2]], 20121079/214035333120], [[[1, 9], [2, 12], [8, 1]], 29/41287680], [[[1, 9], [2, 12], [10, 1]], 7120621/178362777600], [[[1, 9], [2, 14], [3, 1]], 984403/305764761600], [[[1, 9], [2, 14], [4, 1]], 656657/12740198400], [[[1, 9], [2, 14], [6, 1]], 85431877/2140353331200], [[[1, 9], [3, 4], [5, 2]], 1/64800], [[[1, 9], [3, 5], [7, 1]], 1/108864], [[[1, 9], [3, 6], [4, 2]], 1/1492992], [[[1, 9], [3, 6], [5, 1]], 1/233280], [[[1, 9], [4, 4], [8, 2]], 1/2949120], [[[1, 10], [2, 1], [3, 7]], 1/186624], [[[1, 10], [2, 3], [3, 6]], 775/17915904], [[[1, 10], [2, 3], [4, 6]], 17/23592960], [[[1, 10], [2, 5], [3, 5]], 1801/19906560], [[[1, 10], [2, 5], [4, 5]], 162643/1981808640], [[[1, 10], [2, 7], [3, 4]], 29537/318504960], [[[1, 10], [2, 7], [4, 4]], 2591747/4246732800], [[[1, 10], [2, 7], [5, 2]], 301/4915200], [[[1, 10], [2, 7], [6, 4]], 139/382205952], [[[1, 10], [2, 7], [10, 2]], 11/5898240], [[[1, 10], [2, 9], [3, 3]], 6179/119439360], [[[1, 10], [2, 9], [4, 3]], 155360137/178362777600], [[[1, 10], [2, 9], [6, 3]], 25849/1911029760], [[[1, 10], [2, 9], [7, 1]], 76289/2972712960], [[[1, 10], [2, 9], [14, 1]], 659/41287680], [[[1, 10], [2, 11], [3, 2]], 463787/25480396800], [[[1, 10], [2, 11], [4, 2]], 129127577/356725555200], [[[1, 10], [2, 11], [5, 1]], 195199/12740198400], [[[1, 10], [2, 11], [6, 2]], 7002913/142690222080], [[[1, 10], [2, 11], [8, 1]], 2489/1393459200], [[[1, 10], [2, 11], [10, 1]], 672359/23781703680], [[[1, 10], [2, 13], [3, 1]], 2106043/305764761600], [[[1, 10], [2, 13], [4, 1]], 4295801/66886041600], [[[1, 10], [2, 13], [6, 1]], 73695877/2140353331200], [[[1, 11], [2, 2], [3, 6]], 1247/29859840], [[[1, 11], [2, 2], [4, 6]], 1/23592960], [[[1, 11], [2, 4], [3, 5]], 961/6635520], [[[1, 11], [2, 4], [4, 5]], 5329/792723456], [[[1, 11], [2, 6], [3, 4]], 258049/1337720832], [[[1, 11], [2, 6], [4, 4]], 1122199/5945425920], [[[1, 11], [2, 6], [5, 2]], 9347/132710400], [[[1, 11], [2, 6], [6, 4]], 1/127401984], [[[1, 11], [2, 6], [10, 2]], 1/9830400], [[[1, 11], [2, 8], [3, 3]], 173095/1337720832], [[[1, 11], [2, 8], [4, 3]], 83693651/142690222080], [[[1, 11], [2, 8], [6, 3]], 1789/955514880], [[[1, 11], [2, 8], [7, 1]], 35387/990904320], [[[1, 11], [2, 8], [14, 1]], 3961/743178240], [[[1, 11], [2, 10], [3, 2]], 7002913/142690222080], [[[1, 11], [2, 10], [4, 2]], 129127577/356725555200], [[[1, 11], [2, 10], [5, 1]], 672359/23781703680], [[[1, 11], [2, 10], [6, 2]], 463787/25480396800], [[[1, 11], [2, 10], [8, 1]], 2489/1393459200], [[[1, 11], [2, 10], [10, 1]], 195199/12740198400], [[[1, 11], [2, 12], [3, 1]], 10204319/713451110400], [[[1, 11], [2, 12], [4, 1]], 76217573/1070176665600], [[[1, 11], [2, 12], [6, 1]], 17334319/713451110400], [[[1, 11], [3, 3], [5, 2]], 1/82944], [[[1, 11], [3, 4], [7, 1]], 41/3483648], [[[1, 11], [3, 5], [4, 2]], 1/1105920], [[[1, 11], [3, 5], [5, 1]], 7/497664], [[[1, 12], [2, 1], [3, 6]], 529/29859840], [[[1, 12], [2, 3], [3, 5]], 1879/14929920], [[[1, 12], [2, 3], [4, 5]], 179/440401920], [[[1, 12], [2, 5], [3, 4]], 79679/318504960], [[[1, 12], [2, 5], [4, 4]], 972157/29727129600], [[[1, 12], [2, 5], [5, 2]], 1397/26542080], [[[1, 12], [2, 7], [3, 3]], 435895/2006581248], [[[1, 12], [2, 7], [4, 3]], 13206643/47563407360], [[[1, 12], [2, 7], [6, 3]], 1199/13377208320], [[[1, 12], [2, 7], [7, 1]], 2287/61931520], [[[1, 12], [2, 7], [14, 1]], 109/141557760], [[[1, 12], [2, 9], [3, 2]], 20121079/214035333120], [[[1, 12], [2, 9], [4, 2]], 68142413/237817036800], [[[1, 12], [2, 9], [5, 1]], 7120621/178362777600], [[[1, 12], [2, 9], [6, 2]], 174889/47563407360], [[[1, 12], [2, 9], [8, 1]], 29/41287680], [[[1, 12], [2, 9], [10, 1]], 181739/39636172800], [[[1, 12], [2, 11], [3, 1]], 17334319/713451110400], [[[1, 12], [2, 11], [4, 1]], 76217573/1070176665600], [[[1, 12], [2, 11], [6, 1]], 10204319/713451110400], [[[1, 13], [2, 2], [3, 5]], 109/1935360], [[[1, 13], [2, 4], [3, 4]], 260999/1337720832], [[[1, 13], [2, 4], [4, 4]], 52079/14863564800], [[[1, 13], [2, 4], [5, 2]], 3341/132710400], [[[1, 13], [2, 6], [3, 3]], 8009363/33443020800], [[[1, 13], [2, 6], [4, 3]], 517931/5662310400], [[[1, 13], [2, 6], [7, 1]], 29009/1114767360], [[[1, 13], [2, 6], [14, 1]], 109/2972712960], [[[1, 13], [2, 8], [3, 2]], 280920089/2140353331200], [[[1, 13], [2, 8], [4, 2]], 43923743/237817036800], [[[1, 13], [2, 8], [5, 1]], 5182453/118908518400], [[[1, 13], [2, 8], [6, 2]], 13037/42807066624], [[[1, 13], [2, 8], [8, 1]], 41/371589120], [[[1, 13], [2, 8], [10, 1]], 111323/178362777600], [[[1, 13], [2, 10], [3, 1]], 73695877/2140353331200], [[[1, 13], [2, 10], [4, 1]], 4295801/66886041600], [[[1, 13], [2, 10], [6, 1]], 2106043/305764761600], [[[1, 13], [3, 2], [5, 2]], 7/2764800], [[[1, 13], [3, 3], [7, 1]], 211/69672960], [[[1, 13], [3, 4], [4, 2]], 311/1114767360], [[[1, 13], [3, 4], [5, 1]], 329/49766400], [[[1, 13], [4, 2], [5, 2]], 1/22118400], [[[1, 14], [2, 1], [3, 5]], 3217/278691840], [[[1, 14], [2, 3], [3, 4]], 502849/5733089280], [[[1, 14], [2, 3], [4, 4]], 101/424673280], [[[1, 14], [2, 3], [5, 2]], 653/88473600], [[[1, 14], [2, 5], [3, 3]], 157757/928972800], [[[1, 14], [2, 5], [4, 3]], 151019/7927234560], [[[1, 14], [2, 5], [7, 1]], 108749/8918138880], [[[1, 14], [2, 7], [3, 2]], 33964769/267544166400], [[[1, 14], [2, 7], [4, 2]], 2320123/25480396800], [[[1, 14], [2, 7], [5, 1]], 216313/6370099200], [[[1, 14], [2, 7], [6, 2]], 3431/428070666240], [[[1, 14], [2, 7], [8, 1]], 1/185794560], [[[1, 14], [2, 7], [10, 1]], 3431/118908518400], [[[1, 14], [2, 9], [3, 1]], 85431877/2140353331200], [[[1, 14], [2, 9], [4, 1]], 656657/12740198400], [[[1, 14], [2, 9], [6, 1]], 984403/305764761600], [[[1, 15], [2, 2], [3, 4]], 1430537/66886041600], [[[1, 15], [2, 2], [4, 4]], 157/14863564800], [[[1, 15], [2, 2], [5, 2]], 331/265420800], [[[1, 15], [2, 4], [3, 3]], 15103381/200658124800], [[[1, 15], [2, 4], [4, 3]], 46453/20384317440], [[[1, 15], [2, 4], [7, 1]], 32857/8918138880], [[[1, 15], [2, 6], [3, 2]], 177642569/2140353331200], [[[1, 15], [2, 6], [4, 2]], 131101/4246732800], [[[1, 15], [2, 6], [5, 1]], 2796667/152882380800], [[[1, 15], [2, 8], [3, 1]], 73599557/2140353331200], [[[1, 15], [2, 8], [4, 1]], 141363967/4280706662400], [[[1, 15], [2, 8], [6, 1]], 2915533/2140353331200], [[[1, 15], [3, 1], [5, 2]], 1/5308416], [[[1, 15], [3, 2], [7, 1]], 317/1114767360], [[[1, 15], [3, 3], [4, 2]], 583/16721510400], [[[1, 15], [3, 3], [5, 1]], 787/668860416], [[[1, 15], [4, 2], [7, 1]], 1/743178240], [[[1, 15], [5, 1], [7, 1]], 1/61931520], [[[1, 16], [2, 1], [3, 4]], 24437/9555148800], [[[1, 16], [2, 1], [5, 2]], 29/265420800], [[[1, 16], [2, 3], [3, 3]], 2018981/100329062400], [[[1, 16], [2, 3], [4, 3]], 101221/713451110400], [[[1, 16], [2, 3], [7, 1]], 103/148635648], [[[1, 16], [2, 5], [3, 2]], 2565973/71345111040], [[[1, 16], [2, 5], [4, 2]], 634493/95126814720], [[[1, 16], [2, 5], [5, 1]], 716099/107017666560], [[[1, 16], [2, 7], [3, 1]], 2989633/142690222080], [[[1, 16], [2, 7], [4, 1]], 9341543/611529523200], [[[1, 16], [2, 7], [6, 1]], 223511/535088332800], [[[1, 17], [2, 2], [3, 3]], 206623/66886041600], [[[1, 17], [2, 2], [4, 3]], 3197/713451110400], [[[1, 17], [2, 2], [7, 1]], 43/557383680], [[[1, 17], [2, 4], [3, 2]], 7208213/713451110400], [[[1, 17], [2, 4], [4, 2]], 1233383/1426902220800], [[[1, 17], [2, 4], [5, 1]], 1741627/1070176665600], [[[1, 17], [2, 6], [3, 1]], 18933239/2140353331200], [[[1, 17], [2, 6], [4, 1]], 41539877/8561413324800], [[[1, 17], [2, 6], [6, 1]], 45043/535088332800], [[[1, 17], [3, 1], [7, 1]], 11/1114767360], [[[1, 17], [3, 2], [4, 2]], 113/59454259200], [[[1, 17], [3, 2], [5, 1]], 253/2786918400], [[[1, 17], [4, 2], [5, 1]], 31/89181388800], [[[1, 18], [2, 1], [3, 3]], 2071/8360755200], [[[1, 18], [2, 1], [4, 3]], 29/237817036800], [[[1, 18], [2, 1], [7, 1]], 41/8918138880], [[[1, 18], [2, 3], [3, 2]], 956839/535088332800], [[[1, 18], [2, 3], [4, 2]], 32807/535088332800], [[[1, 18], [2, 3], [5, 1]], 22777/89181388800], [[[1, 18], [2, 5], [3, 1]], 1818401/713451110400], [[[1, 18], [2, 5], [4, 1]], 2940169/2853804441600], [[[1, 18], [2, 5], [6, 1]], 4327/401316249600], [[[1, 19], [2, 2], [3, 2]], 2153/11324620800], [[[1, 19], [2, 2], [4, 2]], 229/118908518400], [[[1, 19], [2, 2], [5, 1]], 26281/1070176665600], [[[1, 19], [2, 4], [3, 1]], 1053571/2140353331200], [[[1, 19], [2, 4], [4, 1]], 1216781/8561413324800], [[[1, 19], [2, 4], [6, 1]], 1/1194393600], [[[1, 19], [3, 1], [4, 2]], 1/25480396800], [[[1, 19], [3, 1], [5, 1]], 5/1783627776], [[[1, 20], [2, 1], [3, 2]], 3919/356725555200], [[[1, 20], [2, 1], [4, 2]], 19/1426902220800], [[[1, 20], [2, 1], [5, 1]], 697/535088332800], [[[1, 20], [2, 3], [3, 1]], 56851/917294284800], [[[1, 20], [2, 3], [4, 1]], 103723/8561413324800], [[[1, 20], [2, 3], [6, 1]], 19/535088332800], [[[1, 21], [2, 2], [3, 1]], 10351/2140353331200], [[[1, 21], [2, 2], [4, 1]], 197/342456532992], [[[1, 21], [2, 2], [6, 1]], 1/1605264998400], [[[1, 22], [2, 1], [3, 1]], 451/2140353331200], [[[1, 22], [2, 1], [4, 1]], 11/951268147200], [[[2, 7], [4, 3], [8, 3]], 1/737280], [[[2, 9], [4, 2], [6, 6]], 1/1492992], [[[2, 9], [4, 4], [8, 2]], 1/2949120], [[[2, 9], [6, 4], [10, 2]], 1/64800], [[[2, 9], [6, 5], [14, 1]], 1/108864], [[[2, 9], [6, 6], [10, 1]], 1/233280], [[[2, 11], [4, 2], [6, 5]], 1/1105920], [[[2, 11], [6, 3], [10, 2]], 1/82944], [[[2, 11], [6, 4], [14, 1]], 41/3483648], [[[2, 11], [6, 5], [10, 1]], 7/497664], [[[2, 13], [4, 2], [6, 4]], 311/1114767360], [[[2, 13], [4, 2], [10, 2]], 1/22118400], [[[2, 13], [6, 2], [10, 2]], 7/2764800], [[[2, 13], [6, 3], [14, 1]], 211/69672960], [[[2, 13], [6, 4], [10, 1]], 329/49766400], [[[2, 15], [4, 2], [6, 3]], 583/16721510400], [[[2, 15], [4, 2], [14, 1]], 1/743178240], [[[2, 15], [6, 1], [10, 2]], 1/5308416], [[[2, 15], [6, 2], [14, 1]], 317/1114767360], [[[2, 15], [6, 3], [10, 1]], 787/668860416], [[[2, 15], [10, 1], [14, 1]], 1/61931520], [[[2, 17], [4, 2], [6, 2]], 113/59454259200], [[[2, 17], [4, 2], [10, 1]], 31/89181388800], [[[2, 17], [6, 1], [14, 1]], 11/1114767360], [[[2, 17], [6, 2], [10, 1]], 253/2786918400], [[[2, 19], [4, 2], [6, 1]], 1/25480396800], [[[2, 19], [6, 1], [10, 1]], 5/1783627776], [[[1, 1], [2, 4], [4, 4], [8, 3]], 1/8192], [[[1, 1], [2, 6], [4, 3], [8, 3]], 1/49152], [[[1, 1], [2, 6], [4, 5], [8, 2]], 1/32768], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/497664], [[[1, 1], [2, 8], [4, 2], [8, 3]], 1/737280], [[[1, 1], [2, 8], [4, 3], [6, 5]], 1/331776], [[[1, 1], [2, 8], [4, 4], [8, 2]], 1/147456], [[[1, 1], [2, 8], [6, 4], [10, 2]], 1/32400], [[[1, 1], [2, 8], [6, 5], [14, 1]], 1/54432], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/116640], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/93312], [[[1, 1], [2, 10], [4, 1], [6, 6]], 1/82944], [[[1, 1], [2, 10], [4, 2], [6, 5]], 7/1105920], [[[1, 1], [2, 10], [4, 3], [6, 4]], 73/13271040], [[[1, 1], [2, 10], [4, 3], [8, 2]], 1/2211840], [[[1, 1], [2, 10], [4, 3], [10, 2]], 1/1843200], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1/3932160], [[[1, 1], [2, 10], [6, 3], [10, 2]], 79/1036800], [[[1, 1], [2, 10], [6, 4], [14, 1]], 17/248832], [[[1, 1], [2, 10], [6, 5], [10, 1]], 77/1244160], [[[1, 1], [2, 12], [3, 1], [6, 5]], 133/14929920], [[[1, 1], [2, 12], [4, 1], [6, 5]], 1/49152], [[[1, 1], [2, 12], [4, 2], [6, 4]], 1409/371589120], [[[1, 1], [2, 12], [4, 2], [10, 2]], 17/22118400], [[[1, 1], [2, 12], [4, 3], [6, 3]], 157/92897280], [[[1, 1], [2, 12], [4, 3], [14, 1]], 17/123863040], [[[1, 1], [2, 12], [6, 2], [10, 2]], 43/1382400], [[[1, 1], [2, 12], [6, 3], [14, 1]], 653/17418240], [[[1, 1], [2, 12], [6, 4], [10, 1]], 13/194400], [[[1, 1], [2, 14], [3, 1], [6, 4]], 107/52254720], [[[1, 1], [2, 14], [4, 1], [6, 4]], 2467/371589120], [[[1, 1], [2, 14], [4, 1], [10, 2]], 7/22118400], [[[1, 1], [2, 14], [4, 2], [6, 3]], 293/398131200], [[[1, 1], [2, 14], [4, 2], [14, 1]], 29/743178240], [[[1, 1], [2, 14], [4, 3], [6, 2]], 211/1061683200], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1/849346560], [[[1, 1], [2, 14], [4, 3], [10, 1]], 173/3715891200], [[[1, 1], [2, 14], [6, 1], [10, 2]], 241/66355200], [[[1, 1], [2, 14], [6, 2], [14, 1]], 3197/557383680], [[[1, 1], [2, 14], [6, 3], [10, 1]], 164323/8360755200], [[[1, 1], [2, 14], [10, 1], [14, 1]], 13/30965760], [[[1, 1], [2, 16], [3, 1], [6, 3]], 61/334430208], [[[1, 1], [2, 16], [4, 1], [6, 3]], 109/123863040], [[[1, 1], [2, 16], [4, 1], [14, 1]], 29/1486356480], [[[1, 1], [2, 16], [4, 2], [6, 2]], 563/9909043200], [[[1, 1], [2, 16], [4, 2], [10, 1]], 73/6370099200], [[[1, 1], [2, 16], [4, 3], [6, 1]], 1/106168320], [[[1, 1], [2, 16], [6, 1], [14, 1]], 331/1114767360], [[[1, 1], [2, 16], [6, 2], [10, 1]], 1541/696729600], [[[1, 1], [2, 18], [3, 1], [6, 2]], 41/6688604160], [[[1, 1], [2, 18], [4, 1], [6, 2]], 263/4954521600], [[[1, 1], [2, 18], [4, 1], [8, 1]], 1/10192158720], [[[1, 1], [2, 18], [4, 1], [10, 1]], 19/3185049600], [[[1, 1], [2, 18], [4, 2], [6, 1]], 97/59454259200], [[[1, 1], [2, 18], [6, 1], [10, 1]], 4261/44590694400], [[[1, 1], [2, 20], [3, 1], [6, 1]], 29/428070666240], [[[1, 1], [2, 20], [4, 1], [6, 1]], 1/743178240], [[[1, 2], [2, 3], [4, 4], [8, 3]], 1/8192], [[[1, 2], [2, 5], [4, 3], [8, 3]], 3/16384], [[[1, 2], [2, 5], [4, 5], [8, 2]], 3/16384], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/497664], [[[1, 2], [2, 7], [4, 2], [8, 3]], 1/49152], [[[1, 2], [2, 7], [4, 3], [6, 5]], 7/995328], [[[1, 2], [2, 7], [4, 4], [6, 4]], 11/2654208], [[[1, 2], [2, 7], [4, 4], [8, 2]], 241/2949120], [[[1, 2], [2, 7], [4, 4], [10, 2]], 1/614400], [[[1, 2], [2, 7], [4, 6], [6, 2]], 1/589824], [[[1, 2], [2, 7], [4, 6], [8, 1]], 7/262144], [[[1, 2], [2, 7], [4, 6], [10, 1]], 1/163840], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/64800], [[[1, 2], [2, 7], [6, 5], [14, 1]], 1/108864], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/233280], [[[1, 2], [2, 9], [3, 1], [6, 6]], 19/559872], [[[1, 2], [2, 9], [3, 2], [6, 5]], 1/62208], [[[1, 2], [2, 9], [4, 1], [6, 6]], 23/746496], [[[1, 2], [2, 9], [4, 2], [6, 5]], 217/4976640], [[[1, 2], [2, 9], [4, 3], [6, 4]], 1213/39813120], [[[1, 2], [2, 9], [4, 3], [8, 2]], 449/41287680], [[[1, 2], [2, 9], [4, 3], [10, 2]], 11/1843200], [[[1, 2], [2, 9], [4, 4], [6, 3]], 79/6635520], [[[1, 2], [2, 9], [4, 4], [7, 1]], 1/5160960], [[[1, 2], [2, 9], [4, 4], [14, 1]], 31/20643840], [[[1, 2], [2, 9], [4, 5], [8, 1]], 53/11796480], [[[1, 2], [2, 9], [4, 6], [6, 1]], 1/589824], [[[1, 2], [2, 9], [6, 3], [10, 2]], 283/2073600], [[[1, 2], [2, 9], [6, 4], [14, 1]], 395/3483648], [[[1, 2], [2, 9], [6, 5], [10, 1]], 217/2488320], [[[1, 2], [2, 11], [3, 1], [6, 5]], 349/4976640], [[[1, 2], [2, 11], [3, 2], [6, 4]], 1/221184], [[[1, 2], [2, 11], [4, 1], [6, 5]], 163/1327104], [[[1, 2], [2, 11], [4, 2], [6, 4]], 23099/278691840], [[[1, 2], [2, 11], [4, 2], [8, 2]], 1/8847360], [[[1, 2], [2, 11], [4, 2], [10, 2]], 23/2764800], [[[1, 2], [2, 11], [4, 3], [6, 3]], 1387/69672960], [[[1, 2], [2, 11], [4, 3], [14, 1]], 271/123863040], [[[1, 2], [2, 11], [4, 4], [6, 2]], 829/247726080], [[[1, 2], [2, 11], [4, 4], [8, 1]], 299/247726080], [[[1, 2], [2, 11], [4, 4], [10, 1]], 349/619315200], [[[1, 2], [2, 11], [6, 2], [10, 2]], 179/1382400], [[[1, 2], [2, 11], [6, 3], [14, 1]], 2659/17418240], [[[1, 2], [2, 11], [6, 4], [10, 1]], 907/4147200], [[[1, 2], [2, 13], [3, 1], [6, 4]], 11/373248], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1/8294400], [[[1, 2], [2, 13], [3, 2], [6, 3]], 1/2654208], [[[1, 2], [2, 13], [4, 1], [6, 4]], 93503/1114767360], [[[1, 2], [2, 13], [4, 1], [10, 2]], 5/884736], [[[1, 2], [2, 13], [4, 2], [6, 3]], 36149/1393459200], [[[1, 2], [2, 13], [4, 2], [14, 1]], 1027/743178240], [[[1, 2], [2, 13], [4, 3], [6, 2]], 5873/1592524800], [[[1, 2], [2, 13], [4, 3], [8, 1]], 29/849346560], [[[1, 2], [2, 13], [4, 3], [10, 1]], 1679/1857945600], [[[1, 2], [2, 13], [4, 4], [6, 1]], 173/530841600], [[[1, 2], [2, 13], [6, 1], [10, 2]], 3517/132710400], [[[1, 2], [2, 13], [6, 2], [14, 1]], 6839/159252480], [[[1, 2], [2, 13], [6, 3], [10, 1]], 2022151/16721510400], [[[1, 2], [2, 13], [10, 1], [14, 1]], 253/61931520], [[[1, 2], [2, 15], [3, 1], [6, 3]], 406453/100329062400], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/278691840], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1/127401984], [[[1, 2], [2, 15], [4, 1], [6, 3]], 1051/59719680], [[[1, 2], [2, 15], [4, 1], [14, 1]], 823/1486356480], [[[1, 2], [2, 15], [4, 2], [6, 2]], 76933/25480396800], [[[1, 2], [2, 15], [4, 2], [8, 1]], 29/1698693120], [[[1, 2], [2, 15], [4, 2], [10, 1]], 42559/89181388800], [[[1, 2], [2, 15], [4, 3], [6, 1]], 1369/5573836800], [[[1, 2], [2, 15], [6, 1], [14, 1]], 3893/1114767360], [[[1, 2], [2, 15], [6, 2], [10, 1]], 59267/2786918400], [[[1, 2], [2, 17], [3, 1], [6, 2]], 4423/22295347200], [[[1, 2], [2, 17], [3, 1], [10, 1]], 31/33443020800], [[[1, 2], [2, 17], [4, 1], [6, 2]], 5581/3715891200], [[[1, 2], [2, 17], [4, 1], [8, 1]], 41/10192158720], [[[1, 2], [2, 17], [4, 1], [10, 1]], 85/445906944], [[[1, 2], [2, 17], [4, 2], [6, 1]], 24889/178362777600], [[[1, 2], [2, 17], [6, 1], [10, 1]], 547/412876800], [[[1, 2], [2, 19], [3, 1], [6, 1]], 3187/1070176665600], [[[1, 2], [2, 19], [4, 1], [6, 1]], 1151/22295347200], [[[1, 3], [2, 2], [4, 4], [8, 3]], 1/8192], [[[1, 3], [2, 4], [4, 3], [8, 3]], 7/49152], [[[1, 3], [2, 4], [4, 5], [8, 2]], 7/32768], [[[1, 3], [2, 6], [3, 2], [4, 6]], 1/2359296], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/1492992], [[[1, 3], [2, 6], [4, 2], [8, 3]], 1/16384], [[[1, 3], [2, 6], [4, 3], [6, 5]], 5/995328], [[[1, 3], [2, 6], [4, 4], [6, 4]], 23/2654208], [[[1, 3], [2, 6], [4, 4], [8, 2]], 33/65536], [[[1, 3], [2, 6], [4, 4], [10, 2]], 1/122880], [[[1, 3], [2, 6], [4, 5], [6, 3]], 1/147456], [[[1, 3], [2, 6], [4, 5], [7, 1]], 5/229376], [[[1, 3], [2, 6], [4, 5], [14, 1]], 5/229376], [[[1, 3], [2, 6], [4, 6], [5, 1]], 1/655360], [[[1, 3], [2, 6], [4, 6], [6, 2]], 1/294912], [[[1, 3], [2, 6], [4, 6], [8, 1]], 25/262144], [[[1, 3], [2, 6], [4, 6], [10, 1]], 1/81920], [[[1, 3], [2, 8], [3, 1], [6, 6]], 7/186624], [[[1, 3], [2, 8], [3, 2], [6, 5]], 11/186624], [[[1, 3], [2, 8], [4, 1], [6, 6]], 19/746496], [[[1, 3], [2, 8], [4, 2], [6, 5]], 79/995328], [[[1, 3], [2, 8], [4, 3], [6, 4]], 1687/19906560], [[[1, 3], [2, 8], [4, 3], [8, 2]], 11567/123863040], [[[1, 3], [2, 8], [4, 3], [10, 2]], 29/921600], [[[1, 3], [2, 8], [4, 4], [6, 3]], 343/6635520], [[[1, 3], [2, 8], [4, 4], [7, 1]], 17/5160960], [[[1, 3], [2, 8], [4, 4], [14, 1]], 41/2949120], [[[1, 3], [2, 8], [4, 5], [6, 2]], 1/36864], [[[1, 3], [2, 8], [4, 5], [8, 1]], 359/2949120], [[[1, 3], [2, 8], [4, 5], [10, 1]], 1/30720], [[[1, 3], [2, 8], [4, 6], [6, 1]], 5/589824], [[[1, 3], [2, 8], [6, 3], [10, 2]], 17/172800], [[[1, 3], [2, 8], [6, 4], [14, 1]], 1/13824], [[[1, 3], [2, 8], [6, 5], [10, 1]], 29/622080], [[[1, 3], [2, 10], [3, 1], [4, 5]], 1/4423680], [[[1, 3], [2, 10], [3, 1], [6, 5]], 61/331776], [[[1, 3], [2, 10], [3, 2], [4, 4]], 221/2972712960], [[[1, 3], [2, 10], [3, 2], [6, 4]], 1561/29859840], [[[1, 3], [2, 10], [4, 1], [6, 5]], 965/3981312], [[[1, 3], [2, 10], [4, 2], [6, 4]], 1445/3981312], [[[1, 3], [2, 10], [4, 2], [8, 2]], 77/17694720], [[[1, 3], [2, 10], [4, 2], [10, 2]], 49/921600], [[[1, 3], [2, 10], [4, 3], [6, 3]], 100783/557383680], [[[1, 3], [2, 10], [4, 3], [7, 1]], 25/24772608], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1369/61931520], [[[1, 3], [2, 10], [4, 4], [5, 1]], 221/825753600], [[[1, 3], [2, 10], [4, 4], [6, 2]], 107/3096576], [[[1, 3], [2, 10], [4, 4], [8, 1]], 1303/61931520], [[[1, 3], [2, 10], [4, 4], [10, 1]], 113/15482880], [[[1, 3], [2, 10], [4, 5], [6, 1]], 19/1474560], [[[1, 3], [2, 10], [6, 2], [10, 2]], 109/460800], [[[1, 3], [2, 10], [6, 3], [14, 1]], 307/1161216], [[[1, 3], [2, 10], [6, 4], [10, 1]], 43/138240], [[[1, 3], [2, 12], [3, 1], [6, 4]], 21397/139345920], [[[1, 3], [2, 12], [3, 1], [10, 2]], 17/8294400], [[[1, 3], [2, 12], [3, 2], [6, 3]], 2281/278691840], [[[1, 3], [2, 12], [4, 1], [6, 4]], 33137/92897280], [[[1, 3], [2, 12], [4, 1], [10, 2]], 211/5529600], [[[1, 3], [2, 12], [4, 2], [6, 3]], 104767/418037760], [[[1, 3], [2, 12], [4, 2], [14, 1]], 901/49545216], [[[1, 3], [2, 12], [4, 3], [6, 2]], 2657/49766400], [[[1, 3], [2, 12], [4, 3], [8, 1]], 1369/594542592], [[[1, 3], [2, 12], [4, 3], [10, 1]], 9671/928972800], [[[1, 3], [2, 12], [4, 4], [6, 1]], 19907/3715891200], [[[1, 3], [2, 12], [6, 1], [10, 2]], 29/307200], [[[1, 3], [2, 12], [6, 2], [14, 1]], 197/1290240], [[[1, 3], [2, 12], [6, 3], [10, 1]], 8719/24883200], [[[1, 3], [2, 12], [10, 1], [14, 1]], 5/258048], [[[1, 3], [2, 14], [3, 1], [6, 3]], 585701/16721510400], [[[1, 3], [2, 14], [3, 1], [14, 1]], 29/278691840], [[[1, 3], [2, 14], [3, 2], [6, 2]], 4531/13377208320], [[[1, 3], [2, 14], [4, 1], [6, 3]], 442537/3344302080], [[[1, 3], [2, 14], [4, 1], [14, 1]], 8999/1486356480], [[[1, 3], [2, 14], [4, 2], [6, 2]], 1044277/22295347200], [[[1, 3], [2, 14], [4, 2], [8, 1]], 823/1698693120], [[[1, 3], [2, 14], [4, 2], [10, 1]], 28379/3715891200], [[[1, 3], [2, 14], [4, 3], [6, 1]], 113609/22295347200], [[[1, 3], [2, 14], [6, 1], [14, 1]], 371/17694720], [[[1, 3], [2, 14], [6, 2], [10, 1]], 18211/174182400], [[[1, 3], [2, 16], [3, 1], [6, 2]], 2743/1061683200], [[[1, 3], [2, 16], [3, 1], [10, 1]], 73/2388787200], [[[1, 3], [2, 16], [3, 2], [6, 1]], 29/13377208320], [[[1, 3], [2, 16], [4, 1], [6, 2]], 1516013/89181388800], [[[1, 3], [2, 16], [4, 1], [8, 1]], 43/637009920], [[[1, 3], [2, 16], [4, 1], [10, 1]], 15611/6370099200], [[[1, 3], [2, 16], [4, 2], [6, 1]], 111737/35672555520], [[[1, 3], [2, 16], [6, 1], [10, 1]], 36497/3715891200], [[[1, 3], [2, 18], [3, 1], [4, 1]], 29/89181388800], [[[1, 3], [2, 18], [3, 1], [6, 1]], 5587/101921587200], [[[1, 3], [2, 18], [4, 1], [6, 1]], 12143/14863564800], [[[1, 3], [3, 2], [4, 3], [8, 3]], 1/18432], [[[1, 3], [4, 3], [5, 1], [8, 3]], 1/5120], [[[1, 4], [2, 1], [4, 4], [8, 3]], 1/8192], [[[1, 4], [2, 3], [4, 3], [8, 3]], 7/49152], [[[1, 4], [2, 3], [4, 5], [8, 2]], 7/32768], [[[1, 4], [2, 5], [3, 2], [4, 6]], 1/1179648], [[[1, 4], [2, 5], [3, 3], [4, 5]], 1/442368], [[[1, 4], [2, 5], [3, 4], [4, 4]], 1/2654208], [[[1, 4], [2, 5], [4, 2], [8, 3]], 1/49152], [[[1, 4], [2, 5], [4, 3], [6, 5]], 1/995328], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/204800], [[[1, 4], [2, 5], [4, 4], [6, 4]], 13/2654208], [[[1, 4], [2, 5], [4, 4], [8, 2]], 41/65536], [[[1, 4], [2, 5], [4, 4], [10, 2]], 7/614400], [[[1, 4], [2, 5], [4, 5], [6, 3]], 1/221184], [[[1, 4], [2, 5], [4, 5], [7, 1]], 15/229376], [[[1, 4], [2, 5], [4, 5], [14, 1]], 15/229376], [[[1, 4], [2, 5], [4, 6], [5, 1]], 1/327680], [[[1, 4], [2, 5], [4, 6], [6, 2]], 5/2359296], [[[1, 4], [2, 5], [4, 6], [8, 1]], 1/8192], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1/131072], [[[1, 4], [2, 7], [3, 1], [4, 6]], 7/262144], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/62208], [[[1, 4], [2, 7], [3, 2], [4, 5]], 29/3538944], [[[1, 4], [2, 7], [3, 2], [6, 5]], 1/6912], [[[1, 4], [2, 7], [3, 3], [6, 4]], 5/62208], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/62208], [[[1, 4], [2, 7], [4, 1], [6, 6]], 5/746496], [[[1, 4], [2, 7], [4, 2], [6, 5]], 97/1990656], [[[1, 4], [2, 7], [4, 3], [6, 4]], 409/3981312], [[[1, 4], [2, 7], [4, 3], [8, 2]], 8339/17694720], [[[1, 4], [2, 7], [4, 3], [10, 2]], 1/12288], [[[1, 4], [2, 7], [4, 4], [6, 3]], 1543/13271040], [[[1, 4], [2, 7], [4, 4], [7, 1]], 307/2949120], [[[1, 4], [2, 7], [4, 4], [14, 1]], 649/5160960], [[[1, 4], [2, 7], [4, 5], [5, 1]], 29/983040], [[[1, 4], [2, 7], [4, 5], [6, 2]], 53/589824], [[[1, 4], [2, 7], [4, 5], [8, 1]], 2843/5898240], [[[1, 4], [2, 7], [4, 5], [10, 1]], 11/98304], [[[1, 4], [2, 7], [4, 6], [6, 1]], 89/2359296], [[[1, 4], [2, 7], [6, 3], [10, 2]], 67/2073600], [[[1, 4], [2, 7], [6, 4], [14, 1]], 67/3483648], [[[1, 4], [2, 7], [6, 5], [10, 1]], 67/7464960], [[[1, 4], [2, 9], [3, 1], [4, 5]], 1/276480], [[[1, 4], [2, 9], [3, 1], [6, 5]], 3331/14929920], [[[1, 4], [2, 9], [3, 2], [4, 4]], 2251/1486356480], [[[1, 4], [2, 9], [3, 2], [6, 4]], 767/3317760], [[[1, 4], [2, 9], [3, 3], [4, 3]], 163/557383680], [[[1, 4], [2, 9], [3, 3], [6, 3]], 1/19440], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/31850496], [[[1, 4], [2, 9], [3, 4], [6, 2]], 1/1990656], [[[1, 4], [2, 9], [4, 1], [6, 5]], 821/3981312], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/2457600], [[[1, 4], [2, 9], [4, 2], [6, 4]], 9161/15925248], [[[1, 4], [2, 9], [4, 2], [8, 2]], 1909/41287680], [[[1, 4], [2, 9], [4, 2], [10, 2]], 203/1228800], [[[1, 4], [2, 9], [4, 3], [6, 3]], 22189/39813120], [[[1, 4], [2, 9], [4, 3], [7, 1]], 689/41287680], [[[1, 4], [2, 9], [4, 3], [14, 1]], 121/983040], [[[1, 4], [2, 9], [4, 4], [5, 1]], 5297/1238630400], [[[1, 4], [2, 9], [4, 4], [6, 2]], 239363/990904320], [[[1, 4], [2, 9], [4, 4], [8, 1]], 1949/9175040], [[[1, 4], [2, 9], [4, 4], [10, 1]], 250267/2477260800], [[[1, 4], [2, 9], [4, 5], [6, 1]], 79/983040], [[[1, 4], [2, 9], [6, 2], [10, 2]], 77/345600], [[[1, 4], [2, 9], [6, 3], [14, 1]], 1579/6967296], [[[1, 4], [2, 9], [6, 4], [10, 1]], 643/2985984], [[[1, 4], [2, 11], [3, 1], [4, 4]], 4243/2972712960], [[[1, 4], [2, 11], [3, 1], [6, 4]], 160051/418037760], [[[1, 4], [2, 11], [3, 1], [10, 2]], 109/8294400], [[[1, 4], [2, 11], [3, 2], [4, 3]], 121/445906944], [[[1, 4], [2, 11], [3, 2], [6, 3]], 3263/46448640], [[[1, 4], [2, 11], [3, 3], [6, 2]], 407/278691840], [[[1, 4], [2, 11], [4, 1], [6, 4]], 5443/7962624], [[[1, 4], [2, 11], [4, 1], [8, 2]], 1/3870720], [[[1, 4], [2, 11], [4, 1], [10, 2]], 229/1843200], [[[1, 4], [2, 11], [4, 2], [6, 3]], 49591/55738368], [[[1, 4], [2, 11], [4, 2], [7, 1]], 53/49545216], [[[1, 4], [2, 11], [4, 2], [14, 1]], 12749/123863040], [[[1, 4], [2, 11], [4, 3], [5, 1]], 121/123863040], [[[1, 4], [2, 11], [4, 3], [6, 2]], 11821/31850496], [[[1, 4], [2, 11], [4, 3], [8, 1]], 36419/990904320], [[[1, 4], [2, 11], [4, 3], [10, 1]], 2263/30965760], [[[1, 4], [2, 11], [4, 4], [6, 1]], 145447/2123366400], [[[1, 4], [2, 11], [6, 1], [10, 2]], 1349/7372800], [[[1, 4], [2, 11], [6, 2], [14, 1]], 52931/185794560], [[[1, 4], [2, 11], [6, 3], [10, 1]], 635641/1194393600], [[[1, 4], [2, 11], [10, 1], [14, 1]], 1541/30965760], [[[1, 4], [2, 13], [3, 1], [6, 3]], 5151731/33443020800], [[[1, 4], [2, 13], [3, 1], [14, 1]], 23/19906560], [[[1, 4], [2, 13], [3, 2], [6, 2]], 457/92897280], [[[1, 4], [2, 13], [4, 1], [6, 3]], 401573/836075520], [[[1, 4], [2, 13], [4, 1], [14, 1]], 16543/495452160], [[[1, 4], [2, 13], [4, 2], [6, 2]], 773167/2548039680], [[[1, 4], [2, 13], [4, 2], [8, 1]], 701/123863040], [[[1, 4], [2, 13], [4, 2], [10, 1]], 835739/14863564800], [[[1, 4], [2, 13], [4, 3], [6, 1]], 250337/4459069440], [[[1, 4], [2, 13], [6, 1], [14, 1]], 39443/557383680], [[[1, 4], [2, 13], [6, 2], [10, 1]], 1205011/4180377600], [[[1, 4], [2, 15], [3, 1], [4, 2]], 157/5573836800], [[[1, 4], [2, 15], [3, 1], [6, 2]], 239179/13377208320], [[[1, 4], [2, 15], [3, 1], [10, 1]], 13459/33443020800], [[[1, 4], [2, 15], [3, 2], [6, 1]], 7/106168320], [[[1, 4], [2, 15], [4, 1], [6, 2]], 4451017/44590694400], [[[1, 4], [2, 15], [4, 1], [8, 1]], 103/169869312], [[[1, 4], [2, 15], [4, 1], [10, 1]], 124069/7431782400], [[[1, 4], [2, 15], [4, 2], [6, 1]], 2758817/89181388800], [[[1, 4], [2, 15], [6, 1], [10, 1]], 5759963/133772083200], [[[1, 4], [2, 17], [3, 1], [4, 1]], 3197/267544166400], [[[1, 4], [2, 17], [3, 1], [6, 1]], 297613/535088332800], [[[1, 4], [2, 17], [4, 1], [6, 1]], 77989/11147673600], [[[1, 5], [2, 2], [4, 3], [8, 3]], 3/16384], [[[1, 5], [2, 2], [4, 5], [8, 2]], 3/16384], [[[1, 5], [2, 4], [3, 2], [4, 6]], 5/2359296], [[[1, 5], [2, 4], [3, 3], [4, 5]], 1/221184], [[[1, 5], [2, 4], [3, 4], [4, 4]], 13/2654208], [[[1, 5], [2, 4], [3, 5], [4, 3]], 1/995328], [[[1, 5], [2, 4], [4, 2], [8, 3]], 1/49152], [[[1, 5], [2, 4], [4, 4], [5, 2]], 7/614400], [[[1, 5], [2, 4], [4, 4], [6, 4]], 1/2654208], [[[1, 5], [2, 4], [4, 4], [8, 2]], 41/65536], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/204800], [[[1, 5], [2, 4], [4, 5], [6, 3]], 1/442368], [[[1, 5], [2, 4], [4, 5], [7, 1]], 15/229376], [[[1, 5], [2, 4], [4, 5], [14, 1]], 15/229376], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1/131072], [[[1, 5], [2, 4], [4, 6], [6, 2]], 1/1179648], [[[1, 5], [2, 4], [4, 6], [8, 1]], 1/8192], [[[1, 5], [2, 4], [4, 6], [10, 1]], 1/327680], [[[1, 5], [2, 6], [3, 1], [4, 6]], 139/2359296], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/559872], [[[1, 5], [2, 6], [3, 2], [4, 5]], 1/13824], [[[1, 5], [2, 6], [3, 2], [6, 5]], 7/62208], [[[1, 5], [2, 6], [3, 3], [4, 4]], 85/2654208], [[[1, 5], [2, 6], [3, 3], [5, 2]], 1/2073600], [[[1, 5], [2, 6], [3, 3], [6, 4]], 61/186624], [[[1, 5], [2, 6], [3, 4], [4, 3]], 7/2654208], [[[1, 5], [2, 6], [3, 4], [6, 3]], 49/186624], [[[1, 5], [2, 6], [3, 4], [7, 1]], 1/3483648], [[[1, 5], [2, 6], [3, 5], [5, 1]], 1/7464960], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/93312], [[[1, 5], [2, 6], [4, 2], [6, 5]], 5/663552], [[[1, 5], [2, 6], [4, 3], [5, 2]], 7/204800], [[[1, 5], [2, 6], [4, 3], [6, 4]], 121/2654208], [[[1, 5], [2, 6], [4, 3], [8, 2]], 649/1179648], [[[1, 5], [2, 6], [4, 3], [10, 2]], 11/122880], [[[1, 5], [2, 6], [4, 4], [6, 3]], 65/663552], [[[1, 5], [2, 6], [4, 4], [7, 1]], 149/458752], [[[1, 5], [2, 6], [4, 4], [14, 1]], 29/86016], [[[1, 5], [2, 6], [4, 5], [5, 1]], 1/10240], [[[1, 5], [2, 6], [4, 5], [6, 2]], 409/3538944], [[[1, 5], [2, 6], [4, 5], [8, 1]], 4279/5898240], [[[1, 5], [2, 6], [4, 5], [10, 1]], 137/983040], [[[1, 5], [2, 6], [4, 6], [6, 1]], 149/2359296], [[[1, 5], [2, 6], [6, 3], [10, 2]], 7/1036800], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/248832], [[[1, 5], [2, 6], [6, 5], [10, 1]], 7/3732480], [[[1, 5], [2, 8], [3, 1], [4, 5]], 2657/17694720], [[[1, 5], [2, 8], [3, 1], [6, 5]], 407/2985984], [[[1, 5], [2, 8], [3, 2], [4, 4]], 103499/2972712960], [[[1, 5], [2, 8], [3, 2], [5, 2]], 1/2764800], [[[1, 5], [2, 8], [3, 2], [6, 4]], 5267/9953280], [[[1, 5], [2, 8], [3, 3], [4, 3]], 173/39813120], [[[1, 5], [2, 8], [3, 3], [6, 3]], 23/77760], [[[1, 5], [2, 8], [3, 3], [7, 1]], 1/4644864], [[[1, 5], [2, 8], [3, 4], [4, 2]], 25/31850496], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1/9953280], [[[1, 5], [2, 8], [3, 4], [6, 2]], 817/29859840], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/11943936], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/2985984], [[[1, 5], [2, 8], [4, 1], [6, 5]], 101/1327104], [[[1, 5], [2, 8], [4, 2], [5, 2]], 43/7372800], [[[1, 5], [2, 8], [4, 2], [6, 4]], 2033/5308416], [[[1, 5], [2, 8], [4, 2], [8, 2]], 4093/24772608], [[[1, 5], [2, 8], [4, 2], [10, 2]], 59/245760], [[[1, 5], [2, 8], [4, 3], [6, 3]], 6629/8847360], [[[1, 5], [2, 8], [4, 3], [7, 1]], 2033/12386304], [[[1, 5], [2, 8], [4, 3], [14, 1]], 3791/10321920], [[[1, 5], [2, 8], [4, 4], [5, 1]], 266369/2477260800], [[[1, 5], [2, 8], [4, 4], [6, 2]], 14957/23592960], [[[1, 5], [2, 8], [4, 4], [8, 1]], 219217/247726080], [[[1, 5], [2, 8], [4, 4], [10, 1]], 7943/19660800], [[[1, 5], [2, 8], [4, 5], [6, 1]], 5141/17694720], [[[1, 5], [2, 8], [6, 2], [10, 2]], 11/92160], [[[1, 5], [2, 8], [6, 3], [14, 1]], 367/3483648], [[[1, 5], [2, 8], [6, 4], [10, 1]], 149/1866240], [[[1, 5], [2, 10], [3, 1], [4, 4]], 67763/2972712960], [[[1, 5], [2, 10], [3, 1], [5, 2]], 1/14745600], [[[1, 5], [2, 10], [3, 1], [6, 4]], 31093/59719680], [[[1, 5], [2, 10], [3, 1], [10, 2]], 37/921600], [[[1, 5], [2, 10], [3, 2], [4, 3]], 15707/2229534720], [[[1, 5], [2, 10], [3, 2], [6, 3]], 13847/46448640], [[[1, 5], [2, 10], [3, 2], [7, 1]], 1/24772608], [[[1, 5], [2, 10], [3, 3], [4, 2]], 163/185794560], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1/53084160], [[[1, 5], [2, 10], [3, 3], [6, 2]], 839/30965760], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/31850496], [[[1, 5], [2, 10], [3, 4], [6, 1]], 221/418037760], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1/2457600], [[[1, 5], [2, 10], [4, 1], [6, 4]], 52799/79626240], [[[1, 5], [2, 10], [4, 1], [8, 2]], 251/61931520], [[[1, 5], [2, 10], [4, 1], [10, 2]], 2363/11059200], [[[1, 5], [2, 10], [4, 2], [6, 3]], 9563/6635520], [[[1, 5], [2, 10], [4, 2], [7, 1]], 671/35389440], [[[1, 5], [2, 10], [4, 2], [14, 1]], 34933/123863040], [[[1, 5], [2, 10], [4, 3], [5, 1]], 30613/1857945600], [[[1, 5], [2, 10], [4, 3], [6, 2]], 2483/2211840], [[[1, 5], [2, 10], [4, 3], [8, 1]], 1457717/5945425920], [[[1, 5], [2, 10], [4, 3], [10, 1]], 2809/8847360], [[[1, 5], [2, 10], [4, 4], [6, 1]], 1156181/2972712960], [[[1, 5], [2, 10], [5, 1], [7, 1]], 1/6881280], [[[1, 5], [2, 10], [6, 1], [10, 2]], 2323/11059200], [[[1, 5], [2, 10], [6, 2], [14, 1]], 28331/92897280], [[[1, 5], [2, 10], [6, 3], [10, 1]], 273001/597196800], [[[1, 5], [2, 10], [7, 1], [8, 1]], 1/3870720], [[[1, 5], [2, 10], [10, 1], [14, 1]], 1181/15482880], [[[1, 5], [2, 12], [3, 1], [4, 3]], 1243/495452160], [[[1, 5], [2, 12], [3, 1], [6, 3]], 240991/627056640], [[[1, 5], [2, 12], [3, 1], [14, 1]], 11/1720320], [[[1, 5], [2, 12], [3, 2], [4, 2]], 463/1783627776], [[[1, 5], [2, 12], [3, 2], [6, 2]], 19429/557383680], [[[1, 5], [2, 12], [3, 3], [6, 1]], 547/6688604160], [[[1, 5], [2, 12], [4, 1], [6, 3]], 37157/39813120], [[[1, 5], [2, 12], [4, 1], [7, 1]], 109/297271296], [[[1, 5], [2, 12], [4, 1], [14, 1]], 15233/148635648], [[[1, 5], [2, 12], [4, 2], [5, 1]], 463/495452160], [[[1, 5], [2, 12], [4, 2], [6, 2]], 2851279/2972712960], [[[1, 5], [2, 12], [4, 2], [8, 1]], 7849/212336640], [[[1, 5], [2, 12], [4, 2], [10, 1]], 321931/1486356480], [[[1, 5], [2, 12], [4, 3], [6, 1]], 1174297/3715891200], [[[1, 5], [2, 12], [6, 1], [14, 1]], 15839/111476736], [[[1, 5], [2, 12], [6, 2], [10, 1]], 28121/59719680], [[[1, 5], [2, 14], [3, 1], [4, 2]], 101/159252480], [[[1, 5], [2, 14], [3, 1], [6, 2]], 4893809/66886041600], [[[1, 5], [2, 14], [3, 1], [10, 1]], 3877/1393459200], [[[1, 5], [2, 14], [3, 2], [6, 1]], 3499/4459069440], [[[1, 5], [2, 14], [4, 1], [6, 2]], 3304043/9909043200], [[[1, 5], [2, 14], [4, 1], [8, 1]], 1453/445906944], [[[1, 5], [2, 14], [4, 1], [10, 1]], 2972663/44590694400], [[[1, 5], [2, 14], [4, 2], [6, 1]], 4789559/29727129600], [[[1, 5], [2, 14], [6, 1], [10, 1]], 2241037/19110297600], [[[1, 5], [2, 16], [3, 1], [4, 1]], 9533/53508833280], [[[1, 5], [2, 16], [3, 1], [6, 1]], 7408117/2140353331200], [[[1, 5], [2, 16], [4, 1], [6, 1]], 1596191/44590694400], [[[1, 5], [3, 1], [4, 3], [8, 3]], 1/18432], [[[1, 5], [3, 2], [4, 4], [8, 2]], 1/73728], [[[1, 5], [4, 4], [5, 1], [8, 2]], 1/20480], [[[1, 6], [2, 1], [4, 3], [8, 3]], 1/49152], [[[1, 6], [2, 1], [4, 5], [8, 2]], 1/32768], [[[1, 6], [2, 3], [3, 2], [4, 6]], 1/294912], [[[1, 6], [2, 3], [3, 3], [4, 5]], 1/147456], [[[1, 6], [2, 3], [3, 4], [4, 4]], 23/2654208], [[[1, 6], [2, 3], [3, 5], [4, 3]], 5/995328], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/1492992], [[[1, 6], [2, 3], [4, 2], [8, 3]], 1/16384], [[[1, 6], [2, 3], [4, 4], [5, 2]], 1/122880], [[[1, 6], [2, 3], [4, 4], [8, 2]], 33/65536], [[[1, 6], [2, 3], [4, 5], [7, 1]], 5/229376], [[[1, 6], [2, 3], [4, 5], [14, 1]], 5/229376], [[[1, 6], [2, 3], [4, 6], [5, 1]], 1/81920], [[[1, 6], [2, 3], [4, 6], [6, 2]], 1/2359296], [[[1, 6], [2, 3], [4, 6], [8, 1]], 25/262144], [[[1, 6], [2, 3], [4, 6], [10, 1]], 1/655360], [[[1, 6], [2, 5], [3, 1], [4, 6]], 149/2359296], [[[1, 6], [2, 5], [3, 2], [4, 5]], 409/3538944], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/93312], [[[1, 6], [2, 5], [3, 3], [4, 4]], 65/663552], [[[1, 6], [2, 5], [3, 3], [5, 2]], 7/1036800], [[[1, 6], [2, 5], [3, 3], [6, 4]], 49/186624], [[[1, 6], [2, 5], [3, 4], [4, 3]], 121/2654208], [[[1, 6], [2, 5], [3, 4], [6, 3]], 61/186624], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/248832], [[[1, 6], [2, 5], [3, 5], [4, 2]], 5/663552], [[[1, 6], [2, 5], [3, 5], [5, 1]], 7/3732480], [[[1, 6], [2, 5], [3, 5], [6, 2]], 7/62208], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/559872], [[[1, 6], [2, 5], [4, 3], [5, 2]], 11/122880], [[[1, 6], [2, 5], [4, 3], [6, 4]], 7/2654208], [[[1, 6], [2, 5], [4, 3], [8, 2]], 649/1179648], [[[1, 6], [2, 5], [4, 3], [10, 2]], 7/204800], [[[1, 6], [2, 5], [4, 4], [6, 3]], 85/2654208], [[[1, 6], [2, 5], [4, 4], [7, 1]], 29/86016], [[[1, 6], [2, 5], [4, 4], [14, 1]], 149/458752], [[[1, 6], [2, 5], [4, 5], [5, 1]], 137/983040], [[[1, 6], [2, 5], [4, 5], [6, 2]], 1/13824], [[[1, 6], [2, 5], [4, 5], [8, 1]], 4279/5898240], [[[1, 6], [2, 5], [4, 5], [10, 1]], 1/10240], [[[1, 6], [2, 5], [4, 6], [6, 1]], 139/2359296], [[[1, 6], [2, 5], [6, 3], [10, 2]], 1/2073600], [[[1, 6], [2, 5], [6, 4], [14, 1]], 1/3483648], [[[1, 6], [2, 5], [6, 5], [10, 1]], 1/7464960], [[[1, 6], [2, 7], [3, 1], [4, 5]], 1475/3538944], [[[1, 6], [2, 7], [3, 1], [6, 5]], 125/2985984], [[[1, 6], [2, 7], [3, 2], [4, 4]], 39053/106168320], [[[1, 6], [2, 7], [3, 2], [5, 2]], 1/153600], [[[1, 6], [2, 7], [3, 2], [6, 4]], 3053/5971968], [[[1, 6], [2, 7], [3, 3], [4, 3]], 509/5308416], [[[1, 6], [2, 7], [3, 3], [6, 3]], 5/7776], [[[1, 6], [2, 7], [3, 3], [7, 1]], 5/1161216], [[[1, 6], [2, 7], [3, 4], [4, 2]], 17/1990656], [[[1, 6], [2, 7], [3, 4], [5, 1]], 1/414720], [[[1, 6], [2, 7], [3, 4], [6, 2]], 995/5971968], [[[1, 6], [2, 7], [3, 5], [4, 1]], 17/11943936], [[[1, 6], [2, 7], [3, 5], [6, 1]], 19/2985984], [[[1, 6], [2, 7], [4, 1], [6, 5]], 133/11943936], [[[1, 6], [2, 7], [4, 2], [5, 2]], 23/460800], [[[1, 6], [2, 7], [4, 2], [6, 4]], 263/2654208], [[[1, 6], [2, 7], [4, 2], [8, 2]], 282937/1857945600], [[[1, 6], [2, 7], [4, 2], [10, 2]], 19/115200], [[[1, 6], [2, 7], [4, 3], [6, 3]], 197/442368], [[[1, 6], [2, 7], [4, 3], [7, 1]], 2213/4128768], [[[1, 6], [2, 7], [4, 3], [14, 1]], 191/294912], [[[1, 6], [2, 7], [4, 4], [5, 1]], 35911/88473600], [[[1, 6], [2, 7], [4, 4], [6, 2]], 20579/28311552], [[[1, 6], [2, 7], [4, 4], [8, 1]], 10955/7077888], [[[1, 6], [2, 7], [4, 4], [10, 1]], 13993/23592960], [[[1, 6], [2, 7], [4, 5], [6, 1]], 1729/3538944], [[[1, 6], [2, 7], [6, 2], [10, 2]], 53/1382400], [[[1, 6], [2, 7], [6, 3], [7, 1]], 1/145152], [[[1, 6], [2, 7], [6, 3], [14, 1]], 101/3483648], [[[1, 6], [2, 7], [6, 4], [10, 1]], 29/1492992], [[[1, 6], [2, 9], [3, 1], [4, 4]], 4368751/14863564800], [[[1, 6], [2, 9], [3, 1], [5, 2]], 13/7372800], [[[1, 6], [2, 9], [3, 1], [6, 4]], 24997/59719680], [[[1, 6], [2, 9], [3, 1], [10, 2]], 173/2764800], [[[1, 6], [2, 9], [3, 2], [4, 3]], 121567/1486356480], [[[1, 6], [2, 9], [3, 2], [6, 3]], 3449/4976640], [[[1, 6], [2, 9], [3, 2], [7, 1]], 55/37158912], [[[1, 6], [2, 9], [3, 3], [4, 2]], 1223/79626240], [[[1, 6], [2, 9], [3, 3], [5, 1]], 79/79626240], [[[1, 6], [2, 9], [3, 3], [6, 2]], 3589/19906560], [[[1, 6], [2, 9], [3, 4], [4, 1]], 13/10616832], [[[1, 6], [2, 9], [3, 4], [6, 1]], 587/59719680], [[[1, 6], [2, 9], [4, 1], [5, 2]], 49/7372800], [[[1, 6], [2, 9], [4, 1], [6, 4]], 80003/238878720], [[[1, 6], [2, 9], [4, 1], [8, 2]], 33/2293760], [[[1, 6], [2, 9], [4, 1], [10, 2]], 2293/11059200], [[[1, 6], [2, 9], [4, 2], [6, 3]], 31789/26542080], [[[1, 6], [2, 9], [4, 2], [7, 1]], 6347/49545216], [[[1, 6], [2, 9], [4, 2], [14, 1]], 7877/17694720], [[[1, 6], [2, 9], [4, 3], [5, 1]], 66439/412876800], [[[1, 6], [2, 9], [4, 3], [6, 2]], 30373/17694720], [[[1, 6], [2, 9], [4, 3], [8, 1]], 24692413/29727129600], [[[1, 6], [2, 9], [4, 3], [10, 1]], 8659/11059200], [[[1, 6], [2, 9], [4, 4], [6, 1]], 5487/5242880], [[[1, 6], [2, 9], [5, 1], [7, 1]], 3/1146880], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/307200], [[[1, 6], [2, 9], [6, 1], [10, 2]], 367/2457600], [[[1, 6], [2, 9], [6, 2], [7, 1]], 1/129024], [[[1, 6], [2, 9], [6, 2], [14, 1]], 36683/185794560], [[[1, 6], [2, 9], [6, 3], [10, 1]], 281953/1194393600], [[[1, 6], [2, 9], [7, 1], [8, 1]], 1/258048], [[[1, 6], [2, 9], [7, 1], [10, 1]], 1/322560], [[[1, 6], [2, 9], [10, 1], [14, 1]], 323/4423680], [[[1, 6], [2, 11], [3, 1], [4, 3]], 189247/4459069440], [[[1, 6], [2, 11], [3, 1], [6, 3]], 1963763/3344302080], [[[1, 6], [2, 11], [3, 1], [7, 1]], 139/371589120], [[[1, 6], [2, 11], [3, 1], [14, 1]], 37/1935360], [[[1, 6], [2, 11], [3, 2], [4, 2]], 17261/2229534720], [[[1, 6], [2, 11], [3, 2], [5, 1]], 23/99532800], [[[1, 6], [2, 11], [3, 2], [6, 2]], 1991641/13377208320], [[[1, 6], [2, 11], [3, 2], [8, 1]], 29/557383680], [[[1, 6], [2, 11], [3, 3], [4, 1]], 281/477757440], [[[1, 6], [2, 11], [3, 3], [6, 1]], 1837/668860416], [[[1, 6], [2, 11], [4, 1], [6, 3]], 61613/59719680], [[[1, 6], [2, 11], [4, 1], [7, 1]], 131/18350080], [[[1, 6], [2, 11], [4, 1], [14, 1]], 138191/743178240], [[[1, 6], [2, 11], [4, 2], [5, 1]], 31729/1857945600], [[[1, 6], [2, 11], [4, 2], [6, 2]], 9777013/5945425920], [[[1, 6], [2, 11], [4, 2], [8, 1]], 251893/1698693120], [[[1, 6], [2, 11], [4, 2], [10, 1]], 7157453/14863564800], [[[1, 6], [2, 11], [4, 3], [6, 1]], 703319/743178240], [[[1, 6], [2, 11], [5, 1], [8, 1]], 29/154828800], [[[1, 6], [2, 11], [6, 1], [7, 1]], 47/30965760], [[[1, 6], [2, 11], [6, 1], [14, 1]], 99737/557383680], [[[1, 6], [2, 11], [6, 2], [10, 1]], 1996441/4180377600], [[[1, 6], [2, 13], [3, 1], [4, 2]], 102779/14863564800], [[[1, 6], [2, 13], [3, 1], [5, 1]], 109/6370099200], [[[1, 6], [2, 13], [3, 1], [6, 2]], 1800797/9555148800], [[[1, 6], [2, 13], [3, 1], [10, 1]], 2287/206438400], [[[1, 6], [2, 13], [3, 2], [4, 1]], 905/10701766656], [[[1, 6], [2, 13], [3, 2], [6, 1]], 68981/13377208320], [[[1, 6], [2, 13], [4, 1], [5, 1]], 181/594542592], [[[1, 6], [2, 13], [4, 1], [6, 2]], 3181499/4777574400], [[[1, 6], [2, 13], [4, 1], [8, 1]], 3667/318504960], [[[1, 6], [2, 13], [4, 1], [10, 1]], 228449/1393459200], [[[1, 6], [2, 13], [4, 2], [6, 1]], 4778269/9909043200], [[[1, 6], [2, 13], [6, 1], [10, 1]], 1715297/8360755200], [[[1, 6], [2, 15], [3, 1], [4, 1]], 75703/53508833280], [[[1, 6], [2, 15], [3, 1], [6, 1]], 5973959/428070666240], [[[1, 6], [2, 15], [4, 1], [6, 1]], 7671787/66886041600], [[[1, 7], [2, 2], [3, 2], [4, 6]], 1/589824], [[[1, 7], [2, 2], [3, 4], [4, 4]], 11/2654208], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/64800], [[[1, 7], [2, 2], [3, 5], [4, 3]], 7/995328], [[[1, 7], [2, 2], [3, 5], [7, 1]], 1/108864], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/497664], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/233280], [[[1, 7], [2, 2], [4, 2], [8, 3]], 1/49152], [[[1, 7], [2, 2], [4, 4], [5, 2]], 1/614400], [[[1, 7], [2, 2], [4, 4], [8, 2]], 241/2949120], [[[1, 7], [2, 2], [4, 6], [5, 1]], 1/163840], [[[1, 7], [2, 2], [4, 6], [8, 1]], 7/262144], [[[1, 7], [2, 4], [3, 1], [4, 6]], 89/2359296], [[[1, 7], [2, 4], [3, 2], [4, 5]], 53/589824], [[[1, 7], [2, 4], [3, 3], [4, 4]], 1543/13271040], [[[1, 7], [2, 4], [3, 3], [5, 2]], 67/2073600], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/62208], [[[1, 7], [2, 4], [3, 4], [4, 3]], 409/3981312], [[[1, 7], [2, 4], [3, 4], [6, 3]], 5/62208], [[[1, 7], [2, 4], [3, 4], [7, 1]], 67/3483648], [[[1, 7], [2, 4], [3, 5], [4, 2]], 97/1990656], [[[1, 7], [2, 4], [3, 5], [5, 1]], 67/7464960], [[[1, 7], [2, 4], [3, 5], [6, 2]], 1/6912], [[[1, 7], [2, 4], [3, 6], [4, 1]], 5/746496], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/62208], [[[1, 7], [2, 4], [4, 3], [5, 2]], 1/12288], [[[1, 7], [2, 4], [4, 3], [8, 2]], 8339/17694720], [[[1, 7], [2, 4], [4, 4], [7, 1]], 649/5160960], [[[1, 7], [2, 4], [4, 4], [14, 1]], 307/2949120], [[[1, 7], [2, 4], [4, 5], [5, 1]], 11/98304], [[[1, 7], [2, 4], [4, 5], [6, 2]], 29/3538944], [[[1, 7], [2, 4], [4, 5], [8, 1]], 2843/5898240], [[[1, 7], [2, 4], [4, 5], [10, 1]], 29/983040], [[[1, 7], [2, 4], [4, 6], [6, 1]], 7/262144], [[[1, 7], [2, 6], [3, 1], [4, 5]], 1729/3538944], [[[1, 7], [2, 6], [3, 1], [6, 5]], 19/2985984], [[[1, 7], [2, 6], [3, 2], [4, 4]], 20579/28311552], [[[1, 7], [2, 6], [3, 2], [5, 2]], 53/1382400], [[[1, 7], [2, 6], [3, 2], [6, 4]], 995/5971968], [[[1, 7], [2, 6], [3, 3], [4, 3]], 197/442368], [[[1, 7], [2, 6], [3, 3], [6, 3]], 5/7776], [[[1, 7], [2, 6], [3, 3], [7, 1]], 101/3483648], [[[1, 7], [2, 6], [3, 3], [14, 1]], 1/145152], [[[1, 7], [2, 6], [3, 4], [4, 2]], 263/2654208], [[[1, 7], [2, 6], [3, 4], [5, 1]], 29/1492992], [[[1, 7], [2, 6], [3, 4], [6, 2]], 3053/5971968], [[[1, 7], [2, 6], [3, 5], [4, 1]], 133/11943936], [[[1, 7], [2, 6], [3, 5], [6, 1]], 125/2985984], [[[1, 7], [2, 6], [4, 1], [6, 5]], 17/11943936], [[[1, 7], [2, 6], [4, 2], [5, 2]], 19/115200], [[[1, 7], [2, 6], [4, 2], [6, 4]], 17/1990656], [[[1, 7], [2, 6], [4, 2], [8, 2]], 282937/1857945600], [[[1, 7], [2, 6], [4, 2], [10, 2]], 23/460800], [[[1, 7], [2, 6], [4, 3], [6, 3]], 509/5308416], [[[1, 7], [2, 6], [4, 3], [7, 1]], 191/294912], [[[1, 7], [2, 6], [4, 3], [14, 1]], 2213/4128768], [[[1, 7], [2, 6], [4, 4], [5, 1]], 13993/23592960], [[[1, 7], [2, 6], [4, 4], [6, 2]], 39053/106168320], [[[1, 7], [2, 6], [4, 4], [8, 1]], 10955/7077888], [[[1, 7], [2, 6], [4, 4], [10, 1]], 35911/88473600], [[[1, 7], [2, 6], [4, 5], [6, 1]], 1475/3538944], [[[1, 7], [2, 6], [6, 2], [10, 2]], 1/153600], [[[1, 7], [2, 6], [6, 3], [14, 1]], 5/1161216], [[[1, 7], [2, 6], [6, 4], [10, 1]], 1/414720], [[[1, 7], [2, 8], [3, 1], [4, 4]], 14732647/14863564800], [[[1, 7], [2, 8], [3, 1], [5, 2]], 703/44236800], [[[1, 7], [2, 8], [3, 1], [6, 4]], 12431/59719680], [[[1, 7], [2, 8], [3, 1], [10, 2]], 47/921600], [[[1, 7], [2, 8], [3, 2], [4, 3]], 154871/265420800], [[[1, 7], [2, 8], [3, 2], [6, 3]], 6581/7464960], [[[1, 7], [2, 8], [3, 2], [7, 1]], 1231/74317824], [[[1, 7], [2, 8], [3, 2], [14, 1]], 1/1161216], [[[1, 7], [2, 8], [3, 3], [4, 2]], 7031/53084160], [[[1, 7], [2, 8], [3, 3], [5, 1]], 145/10616832], [[[1, 7], [2, 8], [3, 3], [6, 2]], 33727/59719680], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1/155520], [[[1, 7], [2, 8], [3, 4], [4, 1]], 347/23887872], [[[1, 7], [2, 8], [3, 4], [6, 1]], 245/3981312], [[[1, 7], [2, 8], [4, 1], [5, 2]], 71/1843200], [[[1, 7], [2, 8], [4, 1], [6, 4]], 10661/119439360], [[[1, 7], [2, 8], [4, 1], [8, 2]], 6553/464486400], [[[1, 7], [2, 8], [4, 1], [10, 2]], 649/5529600], [[[1, 7], [2, 8], [4, 2], [6, 3]], 679/1244160], [[[1, 7], [2, 8], [4, 2], [7, 1]], 98011/247726080], [[[1, 7], [2, 8], [4, 2], [14, 1]], 9241/17694720], [[[1, 7], [2, 8], [4, 3], [5, 1]], 4027/6635520], [[[1, 7], [2, 8], [4, 3], [6, 2]], 149231/106168320], [[[1, 7], [2, 8], [4, 3], [8, 1]], 695831/495452160], [[[1, 7], [2, 8], [4, 3], [10, 1]], 17459/17694720], [[[1, 7], [2, 8], [4, 4], [6, 1]], 3029563/2123366400], [[[1, 7], [2, 8], [5, 1], [6, 3]], 1/103680], [[[1, 7], [2, 8], [5, 1], [7, 1]], 311/20643840], [[[1, 7], [2, 8], [5, 1], [14, 1]], 1/322560], [[[1, 7], [2, 8], [5, 2], [6, 1]], 19/921600], [[[1, 7], [2, 8], [6, 1], [10, 2]], 1/15360], [[[1, 7], [2, 8], [6, 2], [7, 1]], 5/193536], [[[1, 7], [2, 8], [6, 2], [14, 1]], 359/4644864], [[[1, 7], [2, 8], [6, 3], [10, 1]], 151/1990656], [[[1, 7], [2, 8], [7, 1], [8, 1]], 1/86016], [[[1, 7], [2, 8], [7, 1], [10, 1]], 1/53760], [[[1, 7], [2, 8], [8, 1], [14, 1]], 1/258048], [[[1, 7], [2, 8], [10, 1], [14, 1]], 1/23040], [[[1, 7], [2, 10], [3, 1], [4, 3]], 728669/2229534720], [[[1, 7], [2, 10], [3, 1], [6, 3]], 196279/334430208], [[[1, 7], [2, 10], [3, 1], [7, 1]], 157/24772608], [[[1, 7], [2, 10], [3, 1], [14, 1]], 737/23224320], [[[1, 7], [2, 10], [3, 2], [4, 2]], 2930219/35672555520], [[[1, 7], [2, 10], [3, 2], [5, 1]], 127/26542080], [[[1, 7], [2, 10], [3, 2], [6, 2]], 362629/891813888], [[[1, 7], [2, 10], [3, 2], [8, 1]], 17/19906560], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1/1244160], [[[1, 7], [2, 10], [3, 3], [4, 1]], 673/59719680], [[[1, 7], [2, 10], [3, 3], [6, 1]], 219823/6688604160], [[[1, 7], [2, 10], [4, 1], [6, 3]], 282571/418037760], [[[1, 7], [2, 10], [4, 1], [7, 1]], 13903/297271296], [[[1, 7], [2, 10], [4, 1], [14, 1]], 22789/106168320], [[[1, 7], [2, 10], [4, 2], [5, 1]], 3622049/29727129600], [[[1, 7], [2, 10], [4, 2], [6, 2]], 359231/212336640], [[[1, 7], [2, 10], [4, 2], [8, 1]], 66313679/178362777600], [[[1, 7], [2, 10], [4, 2], [10, 1]], 377203/530841600], [[[1, 7], [2, 10], [4, 3], [6, 1]], 123191/74317824], [[[1, 7], [2, 10], [5, 1], [6, 2]], 1/153600], [[[1, 7], [2, 10], [5, 1], [8, 1]], 49/16588800], [[[1, 7], [2, 10], [5, 1], [10, 1]], 1/345600], [[[1, 7], [2, 10], [6, 1], [7, 1]], 13/884736], [[[1, 7], [2, 10], [6, 1], [14, 1]], 27011/185794560], [[[1, 7], [2, 10], [6, 2], [8, 1]], 5/5308416], [[[1, 7], [2, 10], [6, 2], [10, 1]], 3421/11059200], [[[1, 7], [2, 10], [8, 1], [10, 1]], 7/4423680], [[[1, 7], [2, 12], [3, 1], [4, 2]], 2179493/44590694400], [[[1, 7], [2, 12], [3, 1], [5, 1]], 3379/4954521600], [[[1, 7], [2, 12], [3, 1], [6, 2]], 1082147/3344302080], [[[1, 7], [2, 12], [3, 1], [8, 1]], 1/12386304], [[[1, 7], [2, 12], [3, 1], [10, 1]], 73139/2786918400], [[[1, 7], [2, 12], [3, 2], [4, 1]], 76751/26754416640], [[[1, 7], [2, 12], [3, 2], [6, 1]], 63445/2675441664], [[[1, 7], [2, 12], [4, 1], [5, 1]], 136159/22295347200], [[[1, 7], [2, 12], [4, 1], [6, 2]], 110817283/133772083200], [[[1, 7], [2, 12], [4, 1], [8, 1]], 534523/17836277760], [[[1, 7], [2, 12], [4, 1], [10, 1]], 5773129/22295347200], [[[1, 7], [2, 12], [4, 2], [6, 1]], 79927273/89181388800], [[[1, 7], [2, 12], [5, 1], [6, 1]], 1501/1238630400], [[[1, 7], [2, 12], [6, 1], [8, 1]], 7/26542080], [[[1, 7], [2, 12], [6, 1], [10, 1]], 5501/23224320], [[[1, 7], [2, 14], [3, 1], [4, 1]], 43589/6370099200], [[[1, 7], [2, 14], [3, 1], [6, 1]], 81078881/2140353331200], [[[1, 7], [2, 14], [4, 1], [6, 1]], 12714607/53508833280], [[[1, 7], [3, 1], [4, 4], [8, 2]], 1/73728], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/172800], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/290304], [[[1, 7], [3, 5], [4, 2], [5, 1]], 1/622080], [[[1, 8], [2, 1], [3, 4], [5, 2]], 1/32400], [[[1, 8], [2, 1], [3, 5], [4, 3]], 1/331776], [[[1, 8], [2, 1], [3, 5], [7, 1]], 1/54432], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/497664], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/116640], [[[1, 8], [2, 1], [4, 2], [8, 3]], 1/737280], [[[1, 8], [2, 1], [4, 4], [8, 2]], 1/147456], [[[1, 8], [2, 3], [3, 1], [4, 6]], 5/589824], [[[1, 8], [2, 3], [3, 2], [4, 5]], 1/36864], [[[1, 8], [2, 3], [3, 3], [4, 4]], 343/6635520], [[[1, 8], [2, 3], [3, 3], [5, 2]], 17/172800], [[[1, 8], [2, 3], [3, 4], [4, 3]], 1687/19906560], [[[1, 8], [2, 3], [3, 4], [7, 1]], 1/13824], [[[1, 8], [2, 3], [3, 5], [4, 2]], 79/995328], [[[1, 8], [2, 3], [3, 5], [5, 1]], 29/622080], [[[1, 8], [2, 3], [3, 5], [6, 2]], 11/186624], [[[1, 8], [2, 3], [3, 6], [4, 1]], 19/746496], [[[1, 8], [2, 3], [3, 6], [6, 1]], 7/186624], [[[1, 8], [2, 3], [4, 3], [5, 2]], 29/921600], [[[1, 8], [2, 3], [4, 3], [8, 2]], 11567/123863040], [[[1, 8], [2, 3], [4, 4], [7, 1]], 41/2949120], [[[1, 8], [2, 3], [4, 4], [14, 1]], 17/5160960], [[[1, 8], [2, 3], [4, 5], [5, 1]], 1/30720], [[[1, 8], [2, 3], [4, 5], [8, 1]], 359/2949120], [[[1, 8], [2, 5], [3, 1], [4, 5]], 5141/17694720], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/2985984], [[[1, 8], [2, 5], [3, 2], [4, 4]], 14957/23592960], [[[1, 8], [2, 5], [3, 2], [5, 2]], 11/92160], [[[1, 8], [2, 5], [3, 2], [6, 4]], 817/29859840], [[[1, 8], [2, 5], [3, 3], [4, 3]], 6629/8847360], [[[1, 8], [2, 5], [3, 3], [6, 3]], 23/77760], [[[1, 8], [2, 5], [3, 3], [7, 1]], 367/3483648], [[[1, 8], [2, 5], [3, 4], [4, 2]], 2033/5308416], [[[1, 8], [2, 5], [3, 4], [5, 1]], 149/1866240], [[[1, 8], [2, 5], [3, 4], [6, 2]], 5267/9953280], [[[1, 8], [2, 5], [3, 5], [4, 1]], 101/1327104], [[[1, 8], [2, 5], [3, 5], [6, 1]], 407/2985984], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/11943936], [[[1, 8], [2, 5], [4, 2], [5, 2]], 59/245760], [[[1, 8], [2, 5], [4, 2], [6, 4]], 25/31850496], [[[1, 8], [2, 5], [4, 2], [8, 2]], 4093/24772608], [[[1, 8], [2, 5], [4, 2], [10, 2]], 43/7372800], [[[1, 8], [2, 5], [4, 3], [6, 3]], 173/39813120], [[[1, 8], [2, 5], [4, 3], [7, 1]], 3791/10321920], [[[1, 8], [2, 5], [4, 3], [14, 1]], 2033/12386304], [[[1, 8], [2, 5], [4, 4], [5, 1]], 7943/19660800], [[[1, 8], [2, 5], [4, 4], [6, 2]], 103499/2972712960], [[[1, 8], [2, 5], [4, 4], [8, 1]], 219217/247726080], [[[1, 8], [2, 5], [4, 4], [10, 1]], 266369/2477260800], [[[1, 8], [2, 5], [4, 5], [6, 1]], 2657/17694720], [[[1, 8], [2, 5], [6, 2], [10, 2]], 1/2764800], [[[1, 8], [2, 5], [6, 3], [14, 1]], 1/4644864], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1/9953280], [[[1, 8], [2, 7], [3, 1], [4, 4]], 3029563/2123366400], [[[1, 8], [2, 7], [3, 1], [5, 2]], 1/15360], [[[1, 8], [2, 7], [3, 1], [6, 4]], 245/3981312], [[[1, 8], [2, 7], [3, 1], [10, 2]], 19/921600], [[[1, 8], [2, 7], [3, 2], [4, 3]], 149231/106168320], [[[1, 8], [2, 7], [3, 2], [6, 3]], 33727/59719680], [[[1, 8], [2, 7], [3, 2], [7, 1]], 359/4644864], [[[1, 8], [2, 7], [3, 2], [14, 1]], 5/193536], [[[1, 8], [2, 7], [3, 3], [4, 2]], 679/1244160], [[[1, 8], [2, 7], [3, 3], [5, 1]], 151/1990656], [[[1, 8], [2, 7], [3, 3], [6, 2]], 6581/7464960], [[[1, 8], [2, 7], [3, 3], [10, 1]], 1/103680], [[[1, 8], [2, 7], [3, 4], [4, 1]], 10661/119439360], [[[1, 8], [2, 7], [3, 4], [6, 1]], 12431/59719680], [[[1, 8], [2, 7], [4, 1], [5, 2]], 649/5529600], [[[1, 8], [2, 7], [4, 1], [6, 4]], 347/23887872], [[[1, 8], [2, 7], [4, 1], [8, 2]], 6553/464486400], [[[1, 8], [2, 7], [4, 1], [10, 2]], 71/1843200], [[[1, 8], [2, 7], [4, 2], [6, 3]], 7031/53084160], [[[1, 8], [2, 7], [4, 2], [7, 1]], 9241/17694720], [[[1, 8], [2, 7], [4, 2], [14, 1]], 98011/247726080], [[[1, 8], [2, 7], [4, 3], [5, 1]], 17459/17694720], [[[1, 8], [2, 7], [4, 3], [6, 2]], 154871/265420800], [[[1, 8], [2, 7], [4, 3], [8, 1]], 695831/495452160], [[[1, 8], [2, 7], [4, 3], [10, 1]], 4027/6635520], [[[1, 8], [2, 7], [4, 4], [6, 1]], 14732647/14863564800], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1/155520], [[[1, 8], [2, 7], [5, 1], [7, 1]], 1/23040], [[[1, 8], [2, 7], [5, 1], [14, 1]], 1/53760], [[[1, 8], [2, 7], [5, 2], [6, 1]], 47/921600], [[[1, 8], [2, 7], [6, 1], [10, 2]], 703/44236800], [[[1, 8], [2, 7], [6, 2], [7, 1]], 1/1161216], [[[1, 8], [2, 7], [6, 2], [14, 1]], 1231/74317824], [[[1, 8], [2, 7], [6, 3], [10, 1]], 145/10616832], [[[1, 8], [2, 7], [7, 1], [8, 1]], 1/258048], [[[1, 8], [2, 7], [7, 1], [10, 1]], 1/322560], [[[1, 8], [2, 7], [8, 1], [14, 1]], 1/86016], [[[1, 8], [2, 7], [10, 1], [14, 1]], 311/20643840], [[[1, 8], [2, 9], [3, 1], [4, 3]], 7261/6635520], [[[1, 8], [2, 9], [3, 1], [6, 3]], 186749/477757440], [[[1, 8], [2, 9], [3, 1], [7, 1]], 2321/74317824], [[[1, 8], [2, 9], [3, 1], [14, 1]], 181/5160960], [[[1, 8], [2, 9], [3, 2], [4, 2]], 5632829/12740198400], [[[1, 8], [2, 9], [3, 2], [5, 1]], 113/3317760], [[[1, 8], [2, 9], [3, 2], [6, 2]], 277559/398131200], [[[1, 8], [2, 9], [3, 2], [8, 1]], 1/294912], [[[1, 8], [2, 9], [3, 2], [10, 1]], 1/55296], [[[1, 8], [2, 9], [3, 3], [4, 1]], 12313/159252480], [[[1, 8], [2, 9], [3, 3], [6, 1]], 186497/1194393600], [[[1, 8], [2, 9], [4, 1], [6, 3]], 33631/119439360], [[[1, 8], [2, 9], [4, 1], [7, 1]], 1069/7864320], [[[1, 8], [2, 9], [4, 1], [14, 1]], 5219/27525120], [[[1, 8], [2, 9], [4, 2], [5, 1]], 900947/2123366400], [[[1, 8], [2, 9], [4, 2], [6, 2]], 13289449/11890851840], [[[1, 8], [2, 9], [4, 2], [8, 1]], 12426643/22295347200], [[[1, 8], [2, 9], [4, 2], [10, 1]], 21459553/29727129600], [[[1, 8], [2, 9], [4, 3], [6, 1]], 3297139/1857945600], [[[1, 8], [2, 9], [5, 1], [6, 2]], 1/34560], [[[1, 8], [2, 9], [5, 1], [8, 1]], 23/2211840], [[[1, 8], [2, 9], [5, 1], [10, 1]], 7/345600], [[[1, 8], [2, 9], [6, 1], [7, 1]], 53/1327104], [[[1, 8], [2, 9], [6, 1], [14, 1]], 28997/371589120], [[[1, 8], [2, 9], [6, 2], [8, 1]], 5/1327104], [[[1, 8], [2, 9], [6, 2], [10, 1]], 5663/44236800], [[[1, 8], [2, 9], [8, 1], [10, 1]], 1/122880], [[[1, 8], [2, 11], [3, 1], [4, 2]], 7967549/35672555520], [[[1, 8], [2, 11], [3, 1], [5, 1]], 13067/1592524800], [[[1, 8], [2, 11], [3, 1], [6, 2]], 5254079/13377208320], [[[1, 8], [2, 11], [3, 1], [8, 1]], 743/557383680], [[[1, 8], [2, 11], [3, 1], [10, 1]], 73967/1857945600], [[[1, 8], [2, 11], [3, 2], [4, 1]], 572461/17836277760], [[[1, 8], [2, 11], [3, 2], [6, 1]], 5602609/66886041600], [[[1, 8], [2, 11], [4, 1], [5, 1]], 632971/14863564800], [[[1, 8], [2, 11], [4, 1], [6, 2]], 259159/382205952], [[[1, 8], [2, 11], [4, 1], [8, 1]], 2683229/44590694400], [[[1, 8], [2, 11], [4, 1], [10, 1]], 1056943/3715891200], [[[1, 8], [2, 11], [4, 2], [6, 1]], 202187299/178362777600], [[[1, 8], [2, 11], [5, 1], [6, 1]], 3337/265420800], [[[1, 8], [2, 11], [6, 1], [8, 1]], 61/26542080], [[[1, 8], [2, 11], [6, 1], [10, 1]], 8185967/44590694400], [[[1, 8], [2, 13], [3, 1], [4, 1]], 1601087/66886041600], [[[1, 8], [2, 13], [3, 1], [6, 1]], 7418339/101921587200], [[[1, 8], [2, 13], [4, 1], [6, 1]], 17748977/53508833280], [[[1, 9], [2, 2], [3, 1], [4, 6]], 1/589824], [[[1, 9], [2, 2], [3, 3], [4, 4]], 79/6635520], [[[1, 9], [2, 2], [3, 3], [5, 2]], 283/2073600], [[[1, 9], [2, 2], [3, 4], [4, 3]], 1213/39813120], [[[1, 9], [2, 2], [3, 4], [7, 1]], 395/3483648], [[[1, 9], [2, 2], [3, 5], [4, 2]], 217/4976640], [[[1, 9], [2, 2], [3, 5], [5, 1]], 217/2488320], [[[1, 9], [2, 2], [3, 5], [6, 2]], 1/62208], [[[1, 9], [2, 2], [3, 6], [4, 1]], 23/746496], [[[1, 9], [2, 2], [3, 6], [6, 1]], 19/559872], [[[1, 9], [2, 2], [4, 3], [5, 2]], 11/1843200], [[[1, 9], [2, 2], [4, 3], [8, 2]], 449/41287680], [[[1, 9], [2, 2], [4, 4], [7, 1]], 31/20643840], [[[1, 9], [2, 2], [4, 4], [14, 1]], 1/5160960], [[[1, 9], [2, 2], [4, 5], [8, 1]], 53/11796480], [[[1, 9], [2, 4], [3, 1], [4, 5]], 79/983040], [[[1, 9], [2, 4], [3, 2], [4, 4]], 239363/990904320], [[[1, 9], [2, 4], [3, 2], [5, 2]], 77/345600], [[[1, 9], [2, 4], [3, 2], [6, 4]], 1/1990656], [[[1, 9], [2, 4], [3, 3], [4, 3]], 22189/39813120], [[[1, 9], [2, 4], [3, 3], [6, 3]], 1/19440], [[[1, 9], [2, 4], [3, 3], [7, 1]], 1579/6967296], [[[1, 9], [2, 4], [3, 4], [4, 2]], 9161/15925248], [[[1, 9], [2, 4], [3, 4], [5, 1]], 643/2985984], [[[1, 9], [2, 4], [3, 4], [6, 2]], 767/3317760], [[[1, 9], [2, 4], [3, 5], [4, 1]], 821/3981312], [[[1, 9], [2, 4], [3, 5], [6, 1]], 3331/14929920], [[[1, 9], [2, 4], [4, 2], [5, 2]], 203/1228800], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/31850496], [[[1, 9], [2, 4], [4, 2], [8, 2]], 1909/41287680], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/2457600], [[[1, 9], [2, 4], [4, 3], [6, 3]], 163/557383680], [[[1, 9], [2, 4], [4, 3], [7, 1]], 121/983040], [[[1, 9], [2, 4], [4, 3], [14, 1]], 689/41287680], [[[1, 9], [2, 4], [4, 4], [5, 1]], 250267/2477260800], [[[1, 9], [2, 4], [4, 4], [6, 2]], 2251/1486356480], [[[1, 9], [2, 4], [4, 4], [8, 1]], 1949/9175040], [[[1, 9], [2, 4], [4, 4], [10, 1]], 5297/1238630400], [[[1, 9], [2, 4], [4, 5], [6, 1]], 1/276480], [[[1, 9], [2, 6], [3, 1], [4, 4]], 5487/5242880], [[[1, 9], [2, 6], [3, 1], [5, 2]], 367/2457600], [[[1, 9], [2, 6], [3, 1], [6, 4]], 587/59719680], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/307200], [[[1, 9], [2, 6], [3, 2], [4, 3]], 30373/17694720], [[[1, 9], [2, 6], [3, 2], [6, 3]], 3589/19906560], [[[1, 9], [2, 6], [3, 2], [7, 1]], 36683/185794560], [[[1, 9], [2, 6], [3, 2], [14, 1]], 1/129024], [[[1, 9], [2, 6], [3, 3], [4, 2]], 31789/26542080], [[[1, 9], [2, 6], [3, 3], [5, 1]], 281953/1194393600], [[[1, 9], [2, 6], [3, 3], [6, 2]], 3449/4976640], [[[1, 9], [2, 6], [3, 4], [4, 1]], 80003/238878720], [[[1, 9], [2, 6], [3, 4], [6, 1]], 24997/59719680], [[[1, 9], [2, 6], [4, 1], [5, 2]], 2293/11059200], [[[1, 9], [2, 6], [4, 1], [6, 4]], 13/10616832], [[[1, 9], [2, 6], [4, 1], [8, 2]], 33/2293760], [[[1, 9], [2, 6], [4, 1], [10, 2]], 49/7372800], [[[1, 9], [2, 6], [4, 2], [6, 3]], 1223/79626240], [[[1, 9], [2, 6], [4, 2], [7, 1]], 7877/17694720], [[[1, 9], [2, 6], [4, 2], [14, 1]], 6347/49545216], [[[1, 9], [2, 6], [4, 3], [5, 1]], 8659/11059200], [[[1, 9], [2, 6], [4, 3], [6, 2]], 121567/1486356480], [[[1, 9], [2, 6], [4, 3], [8, 1]], 24692413/29727129600], [[[1, 9], [2, 6], [4, 3], [10, 1]], 66439/412876800], [[[1, 9], [2, 6], [4, 4], [6, 1]], 4368751/14863564800], [[[1, 9], [2, 6], [5, 1], [7, 1]], 323/4423680], [[[1, 9], [2, 6], [5, 1], [14, 1]], 1/322560], [[[1, 9], [2, 6], [5, 2], [6, 1]], 173/2764800], [[[1, 9], [2, 6], [6, 1], [10, 2]], 13/7372800], [[[1, 9], [2, 6], [6, 2], [14, 1]], 55/37158912], [[[1, 9], [2, 6], [6, 3], [10, 1]], 79/79626240], [[[1, 9], [2, 6], [8, 1], [14, 1]], 1/258048], [[[1, 9], [2, 6], [10, 1], [14, 1]], 3/1146880], [[[1, 9], [2, 8], [3, 1], [4, 3]], 3297139/1857945600], [[[1, 9], [2, 8], [3, 1], [6, 3]], 186497/1194393600], [[[1, 9], [2, 8], [3, 1], [7, 1]], 28997/371589120], [[[1, 9], [2, 8], [3, 1], [14, 1]], 53/1327104], [[[1, 9], [2, 8], [3, 2], [4, 2]], 13289449/11890851840], [[[1, 9], [2, 8], [3, 2], [5, 1]], 5663/44236800], [[[1, 9], [2, 8], [3, 2], [6, 2]], 277559/398131200], [[[1, 9], [2, 8], [3, 2], [8, 1]], 5/1327104], [[[1, 9], [2, 8], [3, 2], [10, 1]], 1/34560], [[[1, 9], [2, 8], [3, 3], [4, 1]], 33631/119439360], [[[1, 9], [2, 8], [3, 3], [6, 1]], 186749/477757440], [[[1, 9], [2, 8], [4, 1], [6, 3]], 12313/159252480], [[[1, 9], [2, 8], [4, 1], [7, 1]], 5219/27525120], [[[1, 9], [2, 8], [4, 1], [14, 1]], 1069/7864320], [[[1, 9], [2, 8], [4, 2], [5, 1]], 21459553/29727129600], [[[1, 9], [2, 8], [4, 2], [6, 2]], 5632829/12740198400], [[[1, 9], [2, 8], [4, 2], [8, 1]], 12426643/22295347200], [[[1, 9], [2, 8], [4, 2], [10, 1]], 900947/2123366400], [[[1, 9], [2, 8], [4, 3], [6, 1]], 7261/6635520], [[[1, 9], [2, 8], [5, 1], [6, 2]], 1/55296], [[[1, 9], [2, 8], [5, 1], [8, 1]], 1/122880], [[[1, 9], [2, 8], [5, 1], [10, 1]], 7/345600], [[[1, 9], [2, 8], [6, 1], [7, 1]], 181/5160960], [[[1, 9], [2, 8], [6, 1], [14, 1]], 2321/74317824], [[[1, 9], [2, 8], [6, 2], [8, 1]], 1/294912], [[[1, 9], [2, 8], [6, 2], [10, 1]], 113/3317760], [[[1, 9], [2, 8], [8, 1], [10, 1]], 23/2211840], [[[1, 9], [2, 10], [3, 1], [4, 2]], 4428517/7134511104], [[[1, 9], [2, 10], [3, 1], [5, 1]], 20503/530841600], [[[1, 9], [2, 10], [3, 1], [6, 2]], 1930429/5573836800], [[[1, 9], [2, 10], [3, 1], [8, 1]], 1061/199065600], [[[1, 9], [2, 10], [3, 1], [10, 1]], 9679/199065600], [[[1, 9], [2, 10], [3, 2], [4, 1]], 20687/132710400], [[[1, 9], [2, 10], [3, 2], [6, 1]], 1554067/7431782400], [[[1, 9], [2, 10], [4, 1], [5, 1]], 222569/1592524800], [[[1, 9], [2, 10], [4, 1], [6, 2]], 1758653/4459069440], [[[1, 9], [2, 10], [4, 1], [8, 1]], 5126827/59454259200], [[[1, 9], [2, 10], [4, 1], [10, 1]], 148313/619315200], [[[1, 9], [2, 10], [4, 2], [6, 1]], 183033167/178362777600], [[[1, 9], [2, 10], [5, 1], [6, 1]], 791/19660800], [[[1, 9], [2, 10], [6, 1], [8, 1]], 1/163840], [[[1, 9], [2, 10], [6, 1], [10, 1]], 69929/707788800], [[[1, 9], [2, 12], [3, 1], [4, 1]], 374617/5350883328], [[[1, 9], [2, 12], [3, 1], [6, 1]], 231529511/2140353331200], [[[1, 9], [2, 12], [4, 1], [6, 1]], 29978167/89181388800], [[[1, 9], [3, 2], [4, 2], [5, 2]], 1/230400], [[[1, 9], [3, 3], [4, 2], [7, 1]], 5/1161216], [[[1, 9], [3, 3], [5, 1], [7, 1]], 1/30240], [[[1, 9], [3, 4], [4, 2], [5, 1]], 13/2488320], [[[1, 10], [2, 1], [3, 3], [5, 2]], 79/1036800], [[[1, 10], [2, 1], [3, 4], [4, 3]], 73/13271040], [[[1, 10], [2, 1], [3, 4], [7, 1]], 17/248832], [[[1, 10], [2, 1], [3, 5], [4, 2]], 7/1105920], [[[1, 10], [2, 1], [3, 5], [5, 1]], 77/1244160], [[[1, 10], [2, 1], [3, 6], [4, 1]], 1/82944], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/93312], [[[1, 10], [2, 1], [4, 3], [5, 2]], 1/1843200], [[[1, 10], [2, 1], [4, 3], [8, 2]], 1/2211840], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1/3932160], [[[1, 10], [2, 3], [3, 1], [4, 5]], 19/1474560], [[[1, 10], [2, 3], [3, 2], [4, 4]], 107/3096576], [[[1, 10], [2, 3], [3, 2], [5, 2]], 109/460800], [[[1, 10], [2, 3], [3, 3], [4, 3]], 100783/557383680], [[[1, 10], [2, 3], [3, 3], [7, 1]], 307/1161216], [[[1, 10], [2, 3], [3, 4], [4, 2]], 1445/3981312], [[[1, 10], [2, 3], [3, 4], [5, 1]], 43/138240], [[[1, 10], [2, 3], [3, 4], [6, 2]], 1561/29859840], [[[1, 10], [2, 3], [3, 5], [4, 1]], 965/3981312], [[[1, 10], [2, 3], [3, 5], [6, 1]], 61/331776], [[[1, 10], [2, 3], [4, 2], [5, 2]], 49/921600], [[[1, 10], [2, 3], [4, 2], [8, 2]], 77/17694720], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1369/61931520], [[[1, 10], [2, 3], [4, 3], [14, 1]], 25/24772608], [[[1, 10], [2, 3], [4, 4], [5, 1]], 113/15482880], [[[1, 10], [2, 3], [4, 4], [6, 2]], 221/2972712960], [[[1, 10], [2, 3], [4, 4], [8, 1]], 1303/61931520], [[[1, 10], [2, 3], [4, 4], [10, 1]], 221/825753600], [[[1, 10], [2, 3], [4, 5], [6, 1]], 1/4423680], [[[1, 10], [2, 5], [3, 1], [4, 4]], 1156181/2972712960], [[[1, 10], [2, 5], [3, 1], [5, 2]], 2323/11059200], [[[1, 10], [2, 5], [3, 1], [6, 4]], 221/418037760], [[[1, 10], [2, 5], [3, 2], [4, 3]], 2483/2211840], [[[1, 10], [2, 5], [3, 2], [6, 3]], 839/30965760], [[[1, 10], [2, 5], [3, 2], [7, 1]], 28331/92897280], [[[1, 10], [2, 5], [3, 3], [4, 2]], 9563/6635520], [[[1, 10], [2, 5], [3, 3], [5, 1]], 273001/597196800], [[[1, 10], [2, 5], [3, 3], [6, 2]], 13847/46448640], [[[1, 10], [2, 5], [3, 4], [4, 1]], 52799/79626240], [[[1, 10], [2, 5], [3, 4], [6, 1]], 31093/59719680], [[[1, 10], [2, 5], [4, 1], [5, 2]], 2363/11059200], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/31850496], [[[1, 10], [2, 5], [4, 1], [8, 2]], 251/61931520], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1/2457600], [[[1, 10], [2, 5], [4, 2], [6, 3]], 163/185794560], [[[1, 10], [2, 5], [4, 2], [7, 1]], 34933/123863040], [[[1, 10], [2, 5], [4, 2], [14, 1]], 671/35389440], [[[1, 10], [2, 5], [4, 3], [5, 1]], 2809/8847360], [[[1, 10], [2, 5], [4, 3], [6, 2]], 15707/2229534720], [[[1, 10], [2, 5], [4, 3], [8, 1]], 1457717/5945425920], [[[1, 10], [2, 5], [4, 3], [10, 1]], 30613/1857945600], [[[1, 10], [2, 5], [4, 4], [6, 1]], 67763/2972712960], [[[1, 10], [2, 5], [5, 1], [7, 1]], 1181/15482880], [[[1, 10], [2, 5], [5, 2], [6, 1]], 37/921600], [[[1, 10], [2, 5], [6, 1], [10, 2]], 1/14745600], [[[1, 10], [2, 5], [6, 2], [14, 1]], 1/24772608], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1/53084160], [[[1, 10], [2, 5], [8, 1], [14, 1]], 1/3870720], [[[1, 10], [2, 5], [10, 1], [14, 1]], 1/6881280], [[[1, 10], [2, 7], [3, 1], [4, 3]], 123191/74317824], [[[1, 10], [2, 7], [3, 1], [6, 3]], 219823/6688604160], [[[1, 10], [2, 7], [3, 1], [7, 1]], 27011/185794560], [[[1, 10], [2, 7], [3, 1], [14, 1]], 13/884736], [[[1, 10], [2, 7], [3, 2], [4, 2]], 359231/212336640], [[[1, 10], [2, 7], [3, 2], [5, 1]], 3421/11059200], [[[1, 10], [2, 7], [3, 2], [6, 2]], 362629/891813888], [[[1, 10], [2, 7], [3, 2], [8, 1]], 5/5308416], [[[1, 10], [2, 7], [3, 2], [10, 1]], 1/153600], [[[1, 10], [2, 7], [3, 3], [4, 1]], 282571/418037760], [[[1, 10], [2, 7], [3, 3], [6, 1]], 196279/334430208], [[[1, 10], [2, 7], [4, 1], [6, 3]], 673/59719680], [[[1, 10], [2, 7], [4, 1], [7, 1]], 22789/106168320], [[[1, 10], [2, 7], [4, 1], [14, 1]], 13903/297271296], [[[1, 10], [2, 7], [4, 2], [5, 1]], 377203/530841600], [[[1, 10], [2, 7], [4, 2], [6, 2]], 2930219/35672555520], [[[1, 10], [2, 7], [4, 2], [8, 1]], 66313679/178362777600], [[[1, 10], [2, 7], [4, 2], [10, 1]], 3622049/29727129600], [[[1, 10], [2, 7], [4, 3], [6, 1]], 728669/2229534720], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1/1244160], [[[1, 10], [2, 7], [5, 1], [8, 1]], 7/4423680], [[[1, 10], [2, 7], [5, 1], [10, 1]], 1/345600], [[[1, 10], [2, 7], [6, 1], [7, 1]], 737/23224320], [[[1, 10], [2, 7], [6, 1], [14, 1]], 157/24772608], [[[1, 10], [2, 7], [6, 2], [8, 1]], 17/19906560], [[[1, 10], [2, 7], [6, 2], [10, 1]], 127/26542080], [[[1, 10], [2, 7], [8, 1], [10, 1]], 49/16588800], [[[1, 10], [2, 9], [3, 1], [4, 2]], 183033167/178362777600], [[[1, 10], [2, 9], [3, 1], [5, 1]], 69929/707788800], [[[1, 10], [2, 9], [3, 1], [6, 2]], 1554067/7431782400], [[[1, 10], [2, 9], [3, 1], [8, 1]], 1/163840], [[[1, 10], [2, 9], [3, 1], [10, 1]], 791/19660800], [[[1, 10], [2, 9], [3, 2], [4, 1]], 1758653/4459069440], [[[1, 10], [2, 9], [3, 2], [6, 1]], 1930429/5573836800], [[[1, 10], [2, 9], [4, 1], [5, 1]], 148313/619315200], [[[1, 10], [2, 9], [4, 1], [6, 2]], 20687/132710400], [[[1, 10], [2, 9], [4, 1], [8, 1]], 5126827/59454259200], [[[1, 10], [2, 9], [4, 1], [10, 1]], 222569/1592524800], [[[1, 10], [2, 9], [4, 2], [6, 1]], 4428517/7134511104], [[[1, 10], [2, 9], [5, 1], [6, 1]], 9679/199065600], [[[1, 10], [2, 9], [6, 1], [8, 1]], 1061/199065600], [[[1, 10], [2, 9], [6, 1], [10, 1]], 20503/530841600], [[[1, 10], [2, 11], [3, 1], [4, 1]], 145255/891813888], [[[1, 10], [2, 11], [3, 1], [6, 1]], 57527707/428070666240], [[[1, 10], [2, 11], [4, 1], [6, 1]], 3418459/12740198400], [[[1, 11], [2, 2], [3, 2], [4, 4]], 829/247726080], [[[1, 11], [2, 2], [3, 2], [5, 2]], 179/1382400], [[[1, 11], [2, 2], [3, 3], [4, 3]], 1387/69672960], [[[1, 11], [2, 2], [3, 3], [7, 1]], 2659/17418240], [[[1, 11], [2, 2], [3, 4], [4, 2]], 23099/278691840], [[[1, 11], [2, 2], [3, 4], [5, 1]], 907/4147200], [[[1, 11], [2, 2], [3, 4], [6, 2]], 1/221184], [[[1, 11], [2, 2], [3, 5], [4, 1]], 163/1327104], [[[1, 11], [2, 2], [3, 5], [6, 1]], 349/4976640], [[[1, 11], [2, 2], [4, 2], [5, 2]], 23/2764800], [[[1, 11], [2, 2], [4, 2], [8, 2]], 1/8847360], [[[1, 11], [2, 2], [4, 3], [7, 1]], 271/123863040], [[[1, 11], [2, 2], [4, 4], [5, 1]], 349/619315200], [[[1, 11], [2, 2], [4, 4], [8, 1]], 299/247726080], [[[1, 11], [2, 4], [3, 1], [4, 4]], 145447/2123366400], [[[1, 11], [2, 4], [3, 1], [5, 2]], 1349/7372800], [[[1, 11], [2, 4], [3, 2], [4, 3]], 11821/31850496], [[[1, 11], [2, 4], [3, 2], [6, 3]], 407/278691840], [[[1, 11], [2, 4], [3, 2], [7, 1]], 52931/185794560], [[[1, 11], [2, 4], [3, 3], [4, 2]], 49591/55738368], [[[1, 11], [2, 4], [3, 3], [5, 1]], 635641/1194393600], [[[1, 11], [2, 4], [3, 3], [6, 2]], 3263/46448640], [[[1, 11], [2, 4], [3, 4], [4, 1]], 5443/7962624], [[[1, 11], [2, 4], [3, 4], [6, 1]], 160051/418037760], [[[1, 11], [2, 4], [4, 1], [5, 2]], 229/1843200], [[[1, 11], [2, 4], [4, 1], [8, 2]], 1/3870720], [[[1, 11], [2, 4], [4, 2], [7, 1]], 12749/123863040], [[[1, 11], [2, 4], [4, 2], [14, 1]], 53/49545216], [[[1, 11], [2, 4], [4, 3], [5, 1]], 2263/30965760], [[[1, 11], [2, 4], [4, 3], [6, 2]], 121/445906944], [[[1, 11], [2, 4], [4, 3], [8, 1]], 36419/990904320], [[[1, 11], [2, 4], [4, 3], [10, 1]], 121/123863040], [[[1, 11], [2, 4], [4, 4], [6, 1]], 4243/2972712960], [[[1, 11], [2, 4], [5, 1], [7, 1]], 1541/30965760], [[[1, 11], [2, 4], [5, 2], [6, 1]], 109/8294400], [[[1, 11], [2, 6], [3, 1], [4, 3]], 703319/743178240], [[[1, 11], [2, 6], [3, 1], [6, 3]], 1837/668860416], [[[1, 11], [2, 6], [3, 1], [7, 1]], 99737/557383680], [[[1, 11], [2, 6], [3, 1], [14, 1]], 47/30965760], [[[1, 11], [2, 6], [3, 2], [4, 2]], 9777013/5945425920], [[[1, 11], [2, 6], [3, 2], [5, 1]], 1996441/4180377600], [[[1, 11], [2, 6], [3, 2], [6, 2]], 1991641/13377208320], [[[1, 11], [2, 6], [3, 3], [4, 1]], 61613/59719680], [[[1, 11], [2, 6], [3, 3], [6, 1]], 1963763/3344302080], [[[1, 11], [2, 6], [4, 1], [6, 3]], 281/477757440], [[[1, 11], [2, 6], [4, 1], [7, 1]], 138191/743178240], [[[1, 11], [2, 6], [4, 1], [14, 1]], 131/18350080], [[[1, 11], [2, 6], [4, 2], [5, 1]], 7157453/14863564800], [[[1, 11], [2, 6], [4, 2], [6, 2]], 17261/2229534720], [[[1, 11], [2, 6], [4, 2], [8, 1]], 251893/1698693120], [[[1, 11], [2, 6], [4, 2], [10, 1]], 31729/1857945600], [[[1, 11], [2, 6], [4, 3], [6, 1]], 189247/4459069440], [[[1, 11], [2, 6], [6, 1], [7, 1]], 37/1935360], [[[1, 11], [2, 6], [6, 1], [14, 1]], 139/371589120], [[[1, 11], [2, 6], [6, 2], [8, 1]], 29/557383680], [[[1, 11], [2, 6], [6, 2], [10, 1]], 23/99532800], [[[1, 11], [2, 6], [8, 1], [10, 1]], 29/154828800], [[[1, 11], [2, 8], [3, 1], [4, 2]], 202187299/178362777600], [[[1, 11], [2, 8], [3, 1], [5, 1]], 8185967/44590694400], [[[1, 11], [2, 8], [3, 1], [6, 2]], 5602609/66886041600], [[[1, 11], [2, 8], [3, 1], [8, 1]], 61/26542080], [[[1, 11], [2, 8], [3, 1], [10, 1]], 3337/265420800], [[[1, 11], [2, 8], [3, 2], [4, 1]], 259159/382205952], [[[1, 11], [2, 8], [3, 2], [6, 1]], 5254079/13377208320], [[[1, 11], [2, 8], [4, 1], [5, 1]], 1056943/3715891200], [[[1, 11], [2, 8], [4, 1], [6, 2]], 572461/17836277760], [[[1, 11], [2, 8], [4, 1], [8, 1]], 2683229/44590694400], [[[1, 11], [2, 8], [4, 1], [10, 1]], 632971/14863564800], [[[1, 11], [2, 8], [4, 2], [6, 1]], 7967549/35672555520], [[[1, 11], [2, 8], [5, 1], [6, 1]], 73967/1857945600], [[[1, 11], [2, 8], [6, 1], [8, 1]], 743/557383680], [[[1, 11], [2, 8], [6, 1], [10, 1]], 13067/1592524800], [[[1, 11], [2, 10], [3, 1], [4, 1]], 3418459/12740198400], [[[1, 11], [2, 10], [3, 1], [6, 1]], 57527707/428070666240], [[[1, 11], [2, 10], [4, 1], [6, 1]], 145255/891813888], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/1228800], [[[1, 11], [3, 2], [4, 2], [7, 1]], 31/30965760], [[[1, 11], [3, 2], [5, 1], [7, 1]], 1/107520], [[[1, 11], [3, 3], [4, 2], [5, 1]], 461/199065600], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/5160960], [[[1, 12], [2, 1], [3, 2], [5, 2]], 43/1382400], [[[1, 12], [2, 1], [3, 3], [4, 3]], 157/92897280], [[[1, 12], [2, 1], [3, 3], [7, 1]], 653/17418240], [[[1, 12], [2, 1], [3, 4], [4, 2]], 1409/371589120], [[[1, 12], [2, 1], [3, 4], [5, 1]], 13/194400], [[[1, 12], [2, 1], [3, 5], [4, 1]], 1/49152], [[[1, 12], [2, 1], [3, 5], [6, 1]], 133/14929920], [[[1, 12], [2, 1], [4, 2], [5, 2]], 17/22118400], [[[1, 12], [2, 1], [4, 3], [7, 1]], 17/123863040], [[[1, 12], [2, 3], [3, 1], [4, 4]], 19907/3715891200], [[[1, 12], [2, 3], [3, 1], [5, 2]], 29/307200], [[[1, 12], [2, 3], [3, 2], [4, 3]], 2657/49766400], [[[1, 12], [2, 3], [3, 2], [7, 1]], 197/1290240], [[[1, 12], [2, 3], [3, 3], [4, 2]], 104767/418037760], [[[1, 12], [2, 3], [3, 3], [5, 1]], 8719/24883200], [[[1, 12], [2, 3], [3, 3], [6, 2]], 2281/278691840], [[[1, 12], [2, 3], [3, 4], [4, 1]], 33137/92897280], [[[1, 12], [2, 3], [3, 4], [6, 1]], 21397/139345920], [[[1, 12], [2, 3], [4, 1], [5, 2]], 211/5529600], [[[1, 12], [2, 3], [4, 2], [7, 1]], 901/49545216], [[[1, 12], [2, 3], [4, 3], [5, 1]], 9671/928972800], [[[1, 12], [2, 3], [4, 3], [8, 1]], 1369/594542592], [[[1, 12], [2, 3], [5, 1], [7, 1]], 5/258048], [[[1, 12], [2, 3], [5, 2], [6, 1]], 17/8294400], [[[1, 12], [2, 5], [3, 1], [4, 3]], 1174297/3715891200], [[[1, 12], [2, 5], [3, 1], [6, 3]], 547/6688604160], [[[1, 12], [2, 5], [3, 1], [7, 1]], 15839/111476736], [[[1, 12], [2, 5], [3, 2], [4, 2]], 2851279/2972712960], [[[1, 12], [2, 5], [3, 2], [5, 1]], 28121/59719680], [[[1, 12], [2, 5], [3, 2], [6, 2]], 19429/557383680], [[[1, 12], [2, 5], [3, 3], [4, 1]], 37157/39813120], [[[1, 12], [2, 5], [3, 3], [6, 1]], 240991/627056640], [[[1, 12], [2, 5], [4, 1], [7, 1]], 15233/148635648], [[[1, 12], [2, 5], [4, 1], [14, 1]], 109/297271296], [[[1, 12], [2, 5], [4, 2], [5, 1]], 321931/1486356480], [[[1, 12], [2, 5], [4, 2], [6, 2]], 463/1783627776], [[[1, 12], [2, 5], [4, 2], [8, 1]], 7849/212336640], [[[1, 12], [2, 5], [4, 2], [10, 1]], 463/495452160], [[[1, 12], [2, 5], [4, 3], [6, 1]], 1243/495452160], [[[1, 12], [2, 5], [6, 1], [7, 1]], 11/1720320], [[[1, 12], [2, 7], [3, 1], [4, 2]], 79927273/89181388800], [[[1, 12], [2, 7], [3, 1], [5, 1]], 5501/23224320], [[[1, 12], [2, 7], [3, 1], [6, 2]], 63445/2675441664], [[[1, 12], [2, 7], [3, 1], [8, 1]], 7/26542080], [[[1, 12], [2, 7], [3, 1], [10, 1]], 1501/1238630400], [[[1, 12], [2, 7], [3, 2], [4, 1]], 110817283/133772083200], [[[1, 12], [2, 7], [3, 2], [6, 1]], 1082147/3344302080], [[[1, 12], [2, 7], [4, 1], [5, 1]], 5773129/22295347200], [[[1, 12], [2, 7], [4, 1], [6, 2]], 76751/26754416640], [[[1, 12], [2, 7], [4, 1], [8, 1]], 534523/17836277760], [[[1, 12], [2, 7], [4, 1], [10, 1]], 136159/22295347200], [[[1, 12], [2, 7], [4, 2], [6, 1]], 2179493/44590694400], [[[1, 12], [2, 7], [5, 1], [6, 1]], 73139/2786918400], [[[1, 12], [2, 7], [6, 1], [8, 1]], 1/12386304], [[[1, 12], [2, 7], [6, 1], [10, 1]], 3379/4954521600], [[[1, 12], [2, 9], [3, 1], [4, 1]], 29978167/89181388800], [[[1, 12], [2, 9], [3, 1], [6, 1]], 231529511/2140353331200], [[[1, 12], [2, 9], [4, 1], [6, 1]], 374617/5350883328], [[[1, 13], [2, 2], [3, 1], [4, 4]], 173/530841600], [[[1, 13], [2, 2], [3, 1], [5, 2]], 3517/132710400], [[[1, 13], [2, 2], [3, 2], [4, 3]], 5873/1592524800], [[[1, 13], [2, 2], [3, 2], [7, 1]], 6839/159252480], [[[1, 13], [2, 2], [3, 3], [4, 2]], 36149/1393459200], [[[1, 13], [2, 2], [3, 3], [5, 1]], 2022151/16721510400], [[[1, 13], [2, 2], [3, 3], [6, 2]], 1/2654208], [[[1, 13], [2, 2], [3, 4], [4, 1]], 93503/1114767360], [[[1, 13], [2, 2], [3, 4], [6, 1]], 11/373248], [[[1, 13], [2, 2], [4, 1], [5, 2]], 5/884736], [[[1, 13], [2, 2], [4, 2], [7, 1]], 1027/743178240], [[[1, 13], [2, 2], [4, 3], [5, 1]], 1679/1857945600], [[[1, 13], [2, 2], [4, 3], [8, 1]], 29/849346560], [[[1, 13], [2, 2], [5, 1], [7, 1]], 253/61931520], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1/8294400], [[[1, 13], [2, 4], [3, 1], [4, 3]], 250337/4459069440], [[[1, 13], [2, 4], [3, 1], [7, 1]], 39443/557383680], [[[1, 13], [2, 4], [3, 2], [4, 2]], 773167/2548039680], [[[1, 13], [2, 4], [3, 2], [5, 1]], 1205011/4180377600], [[[1, 13], [2, 4], [3, 2], [6, 2]], 457/92897280], [[[1, 13], [2, 4], [3, 3], [4, 1]], 401573/836075520], [[[1, 13], [2, 4], [3, 3], [6, 1]], 5151731/33443020800], [[[1, 13], [2, 4], [4, 1], [7, 1]], 16543/495452160], [[[1, 13], [2, 4], [4, 2], [5, 1]], 835739/14863564800], [[[1, 13], [2, 4], [4, 2], [8, 1]], 701/123863040], [[[1, 13], [2, 4], [6, 1], [7, 1]], 23/19906560], [[[1, 13], [2, 6], [3, 1], [4, 2]], 4778269/9909043200], [[[1, 13], [2, 6], [3, 1], [5, 1]], 1715297/8360755200], [[[1, 13], [2, 6], [3, 1], [6, 2]], 68981/13377208320], [[[1, 13], [2, 6], [3, 2], [4, 1]], 3181499/4777574400], [[[1, 13], [2, 6], [3, 2], [6, 1]], 1800797/9555148800], [[[1, 13], [2, 6], [4, 1], [5, 1]], 228449/1393459200], [[[1, 13], [2, 6], [4, 1], [6, 2]], 905/10701766656], [[[1, 13], [2, 6], [4, 1], [8, 1]], 3667/318504960], [[[1, 13], [2, 6], [4, 1], [10, 1]], 181/594542592], [[[1, 13], [2, 6], [4, 2], [6, 1]], 102779/14863564800], [[[1, 13], [2, 6], [5, 1], [6, 1]], 2287/206438400], [[[1, 13], [2, 6], [6, 1], [10, 1]], 109/6370099200], [[[1, 13], [2, 8], [3, 1], [4, 1]], 17748977/53508833280], [[[1, 13], [2, 8], [3, 1], [6, 1]], 7418339/101921587200], [[[1, 13], [2, 8], [4, 1], [6, 1]], 1601087/66886041600], [[[1, 13], [3, 1], [4, 2], [7, 1]], 1/13271040], [[[1, 13], [3, 1], [5, 1], [7, 1]], 1/1290240], [[[1, 13], [3, 2], [4, 2], [5, 1]], 257/696729600], [[[1, 14], [2, 1], [3, 1], [5, 2]], 241/66355200], [[[1, 14], [2, 1], [3, 2], [4, 3]], 211/1061683200], [[[1, 14], [2, 1], [3, 2], [7, 1]], 3197/557383680], [[[1, 14], [2, 1], [3, 3], [4, 2]], 293/398131200], [[[1, 14], [2, 1], [3, 3], [5, 1]], 164323/8360755200], [[[1, 14], [2, 1], [3, 4], [4, 1]], 2467/371589120], [[[1, 14], [2, 1], [3, 4], [6, 1]], 107/52254720], [[[1, 14], [2, 1], [4, 1], [5, 2]], 7/22118400], [[[1, 14], [2, 1], [4, 2], [7, 1]], 29/743178240], [[[1, 14], [2, 1], [4, 3], [5, 1]], 173/3715891200], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1/849346560], [[[1, 14], [2, 1], [5, 1], [7, 1]], 13/30965760], [[[1, 14], [2, 3], [3, 1], [4, 3]], 113609/22295347200], [[[1, 14], [2, 3], [3, 1], [7, 1]], 371/17694720], [[[1, 14], [2, 3], [3, 2], [4, 2]], 1044277/22295347200], [[[1, 14], [2, 3], [3, 2], [5, 1]], 18211/174182400], [[[1, 14], [2, 3], [3, 2], [6, 2]], 4531/13377208320], [[[1, 14], [2, 3], [3, 3], [4, 1]], 442537/3344302080], [[[1, 14], [2, 3], [3, 3], [6, 1]], 585701/16721510400], [[[1, 14], [2, 3], [4, 1], [7, 1]], 8999/1486356480], [[[1, 14], [2, 3], [4, 2], [5, 1]], 28379/3715891200], [[[1, 14], [2, 3], [4, 2], [8, 1]], 823/1698693120], [[[1, 14], [2, 3], [6, 1], [7, 1]], 29/278691840], [[[1, 14], [2, 5], [3, 1], [4, 2]], 4789559/29727129600], [[[1, 14], [2, 5], [3, 1], [5, 1]], 2241037/19110297600], [[[1, 14], [2, 5], [3, 1], [6, 2]], 3499/4459069440], [[[1, 14], [2, 5], [3, 2], [4, 1]], 3304043/9909043200], [[[1, 14], [2, 5], [3, 2], [6, 1]], 4893809/66886041600], [[[1, 14], [2, 5], [4, 1], [5, 1]], 2972663/44590694400], [[[1, 14], [2, 5], [4, 1], [8, 1]], 1453/445906944], [[[1, 14], [2, 5], [4, 2], [6, 1]], 101/159252480], [[[1, 14], [2, 5], [5, 1], [6, 1]], 3877/1393459200], [[[1, 14], [2, 7], [3, 1], [4, 1]], 12714607/53508833280], [[[1, 14], [2, 7], [3, 1], [6, 1]], 81078881/2140353331200], [[[1, 14], [2, 7], [4, 1], [6, 1]], 43589/6370099200], [[[1, 15], [2, 2], [3, 1], [4, 3]], 1369/5573836800], [[[1, 15], [2, 2], [3, 1], [7, 1]], 3893/1114767360], [[[1, 15], [2, 2], [3, 2], [4, 2]], 76933/25480396800], [[[1, 15], [2, 2], [3, 2], [5, 1]], 59267/2786918400], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1/127401984], [[[1, 15], [2, 2], [3, 3], [4, 1]], 1051/59719680], [[[1, 15], [2, 2], [3, 3], [6, 1]], 406453/100329062400], [[[1, 15], [2, 2], [4, 1], [7, 1]], 823/1486356480], [[[1, 15], [2, 2], [4, 2], [5, 1]], 42559/89181388800], [[[1, 15], [2, 2], [4, 2], [8, 1]], 29/1698693120], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/278691840], [[[1, 15], [2, 4], [3, 1], [4, 2]], 2758817/89181388800], [[[1, 15], [2, 4], [3, 1], [5, 1]], 5759963/133772083200], [[[1, 15], [2, 4], [3, 1], [6, 2]], 7/106168320], [[[1, 15], [2, 4], [3, 2], [4, 1]], 4451017/44590694400], [[[1, 15], [2, 4], [3, 2], [6, 1]], 239179/13377208320], [[[1, 15], [2, 4], [4, 1], [5, 1]], 124069/7431782400], [[[1, 15], [2, 4], [4, 1], [8, 1]], 103/169869312], [[[1, 15], [2, 4], [4, 2], [6, 1]], 157/5573836800], [[[1, 15], [2, 4], [5, 1], [6, 1]], 13459/33443020800], [[[1, 15], [2, 6], [3, 1], [4, 1]], 7671787/66886041600], [[[1, 15], [2, 6], [3, 1], [6, 1]], 5973959/428070666240], [[[1, 15], [2, 6], [4, 1], [6, 1]], 75703/53508833280], [[[1, 15], [3, 1], [4, 2], [5, 1]], 251/11147673600], [[[1, 16], [2, 1], [3, 1], [4, 3]], 1/106168320], [[[1, 16], [2, 1], [3, 1], [7, 1]], 331/1114767360], [[[1, 16], [2, 1], [3, 2], [4, 2]], 563/9909043200], [[[1, 16], [2, 1], [3, 2], [5, 1]], 1541/696729600], [[[1, 16], [2, 1], [3, 3], [4, 1]], 109/123863040], [[[1, 16], [2, 1], [3, 3], [6, 1]], 61/334430208], [[[1, 16], [2, 1], [4, 1], [7, 1]], 29/1486356480], [[[1, 16], [2, 1], [4, 2], [5, 1]], 73/6370099200], [[[1, 16], [2, 3], [3, 1], [4, 2]], 111737/35672555520], [[[1, 16], [2, 3], [3, 1], [5, 1]], 36497/3715891200], [[[1, 16], [2, 3], [3, 1], [6, 2]], 29/13377208320], [[[1, 16], [2, 3], [3, 2], [4, 1]], 1516013/89181388800], [[[1, 16], [2, 3], [3, 2], [6, 1]], 2743/1061683200], [[[1, 16], [2, 3], [4, 1], [5, 1]], 15611/6370099200], [[[1, 16], [2, 3], [4, 1], [8, 1]], 43/637009920], [[[1, 16], [2, 3], [5, 1], [6, 1]], 73/2388787200], [[[1, 16], [2, 5], [3, 1], [4, 1]], 1596191/44590694400], [[[1, 16], [2, 5], [3, 1], [6, 1]], 7408117/2140353331200], [[[1, 16], [2, 5], [4, 1], [6, 1]], 9533/53508833280], [[[1, 17], [2, 2], [3, 1], [4, 2]], 24889/178362777600], [[[1, 17], [2, 2], [3, 1], [5, 1]], 547/412876800], [[[1, 17], [2, 2], [3, 2], [4, 1]], 5581/3715891200], [[[1, 17], [2, 2], [3, 2], [6, 1]], 4423/22295347200], [[[1, 17], [2, 2], [4, 1], [5, 1]], 85/445906944], [[[1, 17], [2, 2], [4, 1], [8, 1]], 41/10192158720], [[[1, 17], [2, 2], [5, 1], [6, 1]], 31/33443020800], [[[1, 17], [2, 4], [3, 1], [4, 1]], 77989/11147673600], [[[1, 17], [2, 4], [3, 1], [6, 1]], 297613/535088332800], [[[1, 17], [2, 4], [4, 1], [6, 1]], 3197/267544166400], [[[1, 18], [2, 1], [3, 1], [4, 2]], 97/59454259200], [[[1, 18], [2, 1], [3, 1], [5, 1]], 4261/44590694400], [[[1, 18], [2, 1], [3, 2], [4, 1]], 263/4954521600], [[[1, 18], [2, 1], [3, 2], [6, 1]], 41/6688604160], [[[1, 18], [2, 1], [4, 1], [5, 1]], 19/3185049600], [[[1, 18], [2, 1], [4, 1], [8, 1]], 1/10192158720], [[[1, 18], [2, 3], [3, 1], [4, 1]], 12143/14863564800], [[[1, 18], [2, 3], [3, 1], [6, 1]], 5587/101921587200], [[[1, 18], [2, 3], [4, 1], [6, 1]], 29/89181388800], [[[1, 19], [2, 2], [3, 1], [4, 1]], 1151/22295347200], [[[1, 19], [2, 2], [3, 1], [6, 1]], 3187/1070176665600], [[[1, 20], [2, 1], [3, 1], [4, 1]], 1/743178240], [[[1, 20], [2, 1], [3, 1], [6, 1]], 29/428070666240], [[[2, 3], [4, 3], [6, 2], [8, 3]], 1/18432], [[[2, 3], [4, 3], [8, 3], [10, 1]], 1/5120], [[[2, 5], [4, 3], [6, 1], [8, 3]], 1/18432], [[[2, 5], [4, 4], [6, 2], [8, 2]], 1/73728], [[[2, 5], [4, 4], [8, 2], [10, 1]], 1/20480], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/172800], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/290304], [[[2, 7], [4, 2], [6, 5], [10, 1]], 1/622080], [[[2, 7], [4, 4], [6, 1], [8, 2]], 1/73728], [[[2, 9], [4, 2], [6, 2], [10, 2]], 1/230400], [[[2, 9], [4, 2], [6, 3], [14, 1]], 5/1161216], [[[2, 9], [4, 2], [6, 4], [10, 1]], 13/2488320], [[[2, 9], [6, 3], [10, 1], [14, 1]], 1/30240], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/1228800], [[[2, 11], [4, 2], [6, 2], [14, 1]], 31/30965760], [[[2, 11], [4, 2], [6, 3], [10, 1]], 461/199065600], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/5160960], [[[2, 11], [6, 2], [10, 1], [14, 1]], 1/107520], [[[2, 13], [4, 2], [6, 1], [14, 1]], 1/13271040], [[[2, 13], [4, 2], [6, 2], [10, 1]], 257/696729600], [[[2, 13], [6, 1], [10, 1], [14, 1]], 1/1290240], [[[2, 15], [4, 2], [6, 1], [10, 1]], 251/11147673600], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/18432], [[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/5120], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 1/6144], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 1/27648], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 5/73728], [[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 1/4096], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/18432], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/86400], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/145152], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 1/311040], [[[1, 1], [2, 6], [4, 2], [7, 1], [8, 2]], 1/645120], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 1/18432], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1/115200], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/193536], [[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 1/331776], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 1/414720], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 1/15360], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 1/9216], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1/98304], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 3/81920], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/248832], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 1/1105920], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/36288], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/77760], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 1/17280], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 5/145152], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 1/124416], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/62208], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/38400], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 1/41472], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 7/311040], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 7/368640], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/184320], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/73728], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 5/1327104], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 61/3317760], [[[1, 1], [2, 8], [4, 3], [7, 1], [8, 1]], 1/2580480], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/430080], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 1/98304], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/311040], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/129024], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 73/2488320], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 19/460800], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 145/2322432], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 41/3981312], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 401/4976640], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 17/1843200], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 181/15482880], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 2231/99532800], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/368640], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/368640], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 31/35389440], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 11/1382400], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/5898240], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 13/161280], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 31/46448640], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1/1548288], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 5/663552], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 1/147456], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 89/6193152], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 211/79626240], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 1459/39813120], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1/737280], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 131/92897280], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 2021/348364800], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 7/106168320], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 403/371589120], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 53/1114767360], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/74317824], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 97/159252480], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 97/92897280], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 317/1274019840], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 4019/696729600], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 1/70778880], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 5683/11147673600], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 29/35672555520], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/79626240], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 11/1274019840], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 1559/4459069440], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 1/7168], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 1/7168], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 1/73728], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 1/20480], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 1/12288], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 1/589824], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1/6144], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/27648], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 1/172800], [[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 1/290304], [[[1, 2], [2, 5], [4, 2], [6, 5], [10, 1]], 1/622080], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 1/43008], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 11/36864], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 1/57600], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 1/96768], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/165888], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 1/207360], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 19/30720], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 11/36864], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/307200], [[[1, 2], [2, 5], [4, 4], [6, 2], [7, 1]], 1/129024], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/516096], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 7/221184], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 1/1105920], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 1/28672], [[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 1/35840], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 1/28672], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 1/143360], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/163840], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 1/36864], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 1/10240], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/82944], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/82944], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 1/69120], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 1/73728], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 1/786432], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 1/64800], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 1/15552], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 7/233280], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 5/165888], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 29/92897280], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1/294912], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1/8640], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 5/72576], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/62208], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/31104], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 1/645120], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 29/25804800], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1/24576], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/9600], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 43/580608], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 5/165888], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 59/1244160], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/61440], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 43/184320], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 7/230400], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/18432], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 7/331776], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 47/829440], [[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 19/2580480], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/53760], [[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 1/129024], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/73728], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 5/65536], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/46080], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 59/491520], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 17/294912], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/124416], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 13/552960], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 1/1105920], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/92160], [[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 1/11059200], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 19/1474560], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 1/1105920], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 1/86400], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 137/1741824], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 101/746496], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 79/3317760], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 163/743178240], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 19/76800], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 49/165888], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 119/1990656], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 719/2488320], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/184320], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 133/1843200], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 359/2211840], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 145/2654208], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 23683/99532800], [[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 1/1935360], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 71/2580480], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 163/206438400], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 23/860160], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 181/17694720], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 179/2764800], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 7/2949120], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 131/2949120], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 109/14745600], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 19/107520], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 49/995328], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 547/61931520], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 59/30965760], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 37/110100480], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 1/460800], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 151/11612160], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 6311/74649600], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/1451520], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 73/921600], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 247/1548288], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 653/19906560], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 3287/9953280], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 13/645120], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 181/5806080], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 89/7077888], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 71573/696729600], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 7/5898240], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 131/106168320], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 27529/1857945600], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 11/161280], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 29/2903040], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 89/92897280], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 137/1486356480], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 307/557383680], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 97789/8360755200], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 1787/92897280], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 3197/637009920], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 15271/174182400], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 13/35389440], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 97/106168320], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 146837/11147673600], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 769/1114767360], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 7/283115520], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 6779/16721510400], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 331/1274019840], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 173633/22295347200], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 1/79626240], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 1/73728], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 1/7168], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 1/7168], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 1/20480], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 2]], 1/307200], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 1/6144], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 7/221184], [[[1, 3], [2, 4], [3, 2], [4, 4], [7, 1]], 1/516096], [[[1, 3], [2, 4], [3, 2], [4, 4], [14, 1]], 1/129024], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1/294912], [[[1, 3], [2, 4], [3, 3], [4, 4], [5, 1]], 1/1105920], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 1/221184], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 3/14336], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/6144], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 7/61440], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 11/110592], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 1/115200], [[[1, 3], [2, 4], [4, 3], [6, 3], [7, 1]], 1/48384], [[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/193536], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/331776], [[[1, 3], [2, 4], [4, 3], [6, 4], [10, 1]], 1/414720], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 3/10240], [[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 1/143360], [[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 1/35840], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 5/24576], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/153600], [[[1, 3], [2, 4], [4, 4], [6, 2], [7, 1]], 1/64512], [[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 1/258048], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 1/110592], [[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 1/552960], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 5/28672], [[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 1/17920], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 5/28672], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/81920], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 7/589824], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 7/163840], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/82944], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 11/165888], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 5/36864], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 11/221184], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/98304], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 5/221184], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 19/196608], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 1/30720], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1/131072], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/32400], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 5/108864], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/46656], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/15552], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 5/55296], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 17/3317760], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 31/331776], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 143/2654208], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 35/1769472], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 1/147456], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 1/36288], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/10368], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1/77760], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/15552], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/62208], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 1/110592], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/442368], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 1/17280], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 5/145152], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/124416], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/62208], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 49/2764800], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 217/884736], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 17/115200], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/10752], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 5/82944], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/20736], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 307/737280], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 379/552960], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 31/460800], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/21504], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/12288], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 103/663552], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 107/1658880], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 113/1290240], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/10752], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 3/57344], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 17/215040], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/92160], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 7/98304], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 1/38400], [[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 5/129024], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 23/516096], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 41/147456], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/18432], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 29/61440], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 109/589824], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 17/491520], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 5/31104], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 2]], 1/3686400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 17/103680], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 463/30965760], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 103/737280], [[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 1/1935360], [[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 17/11059200], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 161/2211840], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 1/69120], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 155/3538944], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1/14400], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 737/3483648], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 1729/7464960], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 53/414720], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 29/92897280], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 47/368640], [[[1, 3], [2, 8], [3, 2], [4, 2], [7, 1]], 1/6193152], [[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 1/4147200], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 743/6635520], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 517/123863040], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 37/13271040], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 1/145152], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 11/207360], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 1/34560], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 37/622080], [[[1, 3], [2, 8], [3, 3], [4, 2], [5, 1]], 1/13271040], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 13/1244160], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 163/278691840], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 29/25804800], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 193/460800], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 1003/2322432], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 395/3981312], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 1739/4976640], [[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 1/1720320], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 599/4423680], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 97/368640], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 1597/3096576], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 343/1327104], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 3821/6635520], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 1/86016], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 25/172032], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 157/12386304], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 7/184320], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 113/645120], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 451/1769472], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 877/2764800], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 41/294912], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 37/3686400], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 809/2949120], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 271/4915200], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 13/80640], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 379/1105920], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 1/691200], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 47/344064], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 5/10616832], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 397/6193152], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 523/148635648], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 3277/495452160], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 17/691200], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 73/829440], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 11861/37324800], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/138240], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 125/3096576], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 353/30965760], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 547/2229534720], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 55/37158912], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 1/2322432], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 29/23224320], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 11/1658880], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 221/139345920], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 163/557383680], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 143/460800], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 439/774144], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 2659/19906560], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 2323/2488320], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 1/7741440], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 19/184320], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 547/619315200], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 953/3870720], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 247/1769472], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 1799/2764800], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 13/737280], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 26207/371589120], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 114313/928972800], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 13/80640], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 14729/111476736], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 17/46448640], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 131/5806080], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 1999/743178240], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 1141/159252480], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 1414213/16721510400], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 757/557383680], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1/2488320], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 6047/46448640], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 47873/1274019840], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 337163/696729600], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 253/70778880], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 1787/106168320], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 104659/743178240], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 9953/696729600], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 1/318504960], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 173/1393459200], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 11119/11890851840], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 21013/4180377600], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 3893/1274019840], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 1517161/22295347200], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 1187/2972712960], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 1/6144], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 5/73728], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 1/27648], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/5120], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 1/4096], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/153600], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 5/24576], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 1/115200], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 11/110592], [[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 1/258048], [[[1, 4], [2, 3], [3, 2], [4, 4], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 7/589824], [[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/193536], [[[1, 4], [2, 3], [3, 3], [4, 3], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 1/552960], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 1/110592], [[[1, 4], [2, 3], [3, 4], [4, 3], [5, 1]], 1/414720], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/331776], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/6144], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 3/14336], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 3/10240], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 7/221184], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 7/61440], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 1/71680], [[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 1/17920], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 1/6144], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 2]], 1/307200], [[[1, 4], [2, 3], [4, 4], [6, 2], [7, 1]], 1/129024], [[[1, 4], [2, 3], [4, 4], [6, 2], [14, 1]], 1/516096], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 1/221184], [[[1, 4], [2, 3], [4, 4], [6, 3], [10, 1]], 1/1105920], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 5/28672], [[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 1/35840], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 5/28672], [[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 1/143360], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 7/163840], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1/294912], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/81920], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/248832], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 7/307200], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/20736], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 5/18432], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 145/1327104], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 11/172032], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 1/14336], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 19/491520], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 25/442368], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 121/589824], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 1/30720], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 13/786432], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/64800], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/18144], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/108864], [[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 1/233280], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/15552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 109/497664], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 23/442368], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 263/995328], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 1/73728], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 5/193536], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/30720], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 17/110592], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 19/276480], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 5/110592], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/38880], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 1/18144], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/4536], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/10368], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/9720], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 13/46656], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 23/62208], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 7/1105920], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 191/995328], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 73/1327104], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 1/51840], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/36864], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/38880], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1/36288], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 1/6048], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 5/15552], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/12960], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 5/23328], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 5/165888], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/165888], [[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 1/77760], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 13/73728], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 1/15360], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 1/16128], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 5/129024], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 5/165888], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1/55296], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 3/10240], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/34560], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/20480], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/10752], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 11/27648], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/15360], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 1/8064], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/18432], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 5/36864], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/30720], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 41/86016], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1/4480], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 25/57344], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/8960], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/34560], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 11/40960], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1/12800], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 13/129024], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 7/73728], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 223/884736], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/15360], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 109/245760], [[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1/61440], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 137/589824], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 23/491520], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 29/186624], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 7/1843200], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 445/995328], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 5783/92897280], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/230400], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 23/46080], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/129024], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 2149/44236800], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1573/4423680], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 3347/8847360], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 53/368640], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 85/442368], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1/8640], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/16128], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 205/870912], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 341/1866240], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 1/1382400], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 125/248832], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 17/3317760], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 263/414720], [[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 1/442368], [[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 1/276480], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 3911/6635520], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 961/20643840], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/41472], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 2329/13271040], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/34560], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 11/145152], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 11/145152], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 5/20736], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 29/103680], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 73/207360], [[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 1/2322432], [[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 7/6635520], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 2603/9953280], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 173/19906560], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 733/19906560], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 11/311040], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/1161216], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 11/622080], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/6480], [[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 1/4976640], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 13/466560], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/3981312], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/995328], [[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 1/2488320], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 49/2764800], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 13/884736], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 31/115200], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 5/21504], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 7/110592], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 13/82944], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 31/737280], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 1/122880], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/76800], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 631/1474560], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 113/307200], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 17/193536], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 133/221184], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 133/294912], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 347/663552], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 181/1935360], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/10752], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 5/258048], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 39/143360], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/19200], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 815/6193152], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1/11520], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 47/258048], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 53/129024], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 16657/17694720], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 61/110592], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 757/983040], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 241/5529600], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 3743/4423680], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 533/1843200], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 67/967680], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/3686400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 12043/14929920], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 1/2064384], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 11/691200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 793/995328], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 31/10321920], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 31/7741440], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 73/8257536], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 26053/61931520], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 8339/148635648], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 63457/330301440], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 43/460800], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 47/3870720], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 2941/11612160], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 43301/74649600], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 67/1935360], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 2263/6635520], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/6193152], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/614400], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 25061/92897280], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1027/139345920], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 305/9289728], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 47/8294400], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 47/23224320], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 1/165888], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 17/829440], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 23/276480], [[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/13271040], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 5179/139345920], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 221/557383680], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 113/17418240], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 47/49766400], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 29/69672960], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 163/209018880], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/1720320], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 47/4423680], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 479/921600], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 1349/1548288], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 307/1327104], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 3811/3317760], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 1/221184], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 1/4480], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 7829/464486400], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 317/7741440], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 2213/3096576], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 2491/4423680], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 73/49152], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 563/4423680], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 943/25804800], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 67783/123863040], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 4781/8847360], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 389/1935360], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 261799/418037760], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 271/46448640], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 53/106168320], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 71009/278691840], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 2129/743178240], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 349/232243200], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 2713/74317824], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 109/371589120], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 2939/69672960], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 63067/209018880], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 2263/79626240], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 547/8918138880], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 2129/557383680], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 109/796262400], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 31/4976640], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 547/1672151040], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 547/2477260800], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 6407/15482880], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 197/1474560], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 13693/11059200], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 5/294912], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 3421/26542080], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 134083/206438400], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 1919879/16721510400], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 29/318504960], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 1679/696729600], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 681977/44590694400], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 534407/16721510400], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 137/557383680], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 2597/141557760], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 319999/1061683200], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 1351547/267544166400], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1/6144], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/307200], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 11/36864], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 1/57600], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 11/36864], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/516096], [[[1, 5], [2, 2], [3, 2], [4, 4], [14, 1]], 1/129024], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 1/36864], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 1/172800], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/27648], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 1/96768], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 7/221184], [[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 1/290304], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 1/207360], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/165888], [[[1, 5], [2, 2], [3, 5], [4, 2], [5, 1]], 1/622080], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 1/43008], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 19/30720], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 1/143360], [[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 1/35840], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 1/12288], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 1/28672], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 1/28672], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 1/10240], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 1/589824], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/163840], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/165888], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 11/27648], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/36864], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 7/73728], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 13/129024], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 23/491520], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 5/110592], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 137/589824], [[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1/61440], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 13/786432], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 1/15360], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 5/165888], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 1/9216], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 191/995328], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/15360], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1/5184], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 223/884736], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 25/442368], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 1/6048], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1/36288], [[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 1/77760], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 5/23328], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 23/62208], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 5/129024], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 1/16128], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/30720], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 263/995328], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 5/36864], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 145/1327104], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/12960], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/64800], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/4536], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 1/18144], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 5/15552], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/38880], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 13/46656], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1/55296], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 109/497664], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 5/165888], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/20736], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/9720], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/108864], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/18144], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/10368], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/38880], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/15552], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/248832], [[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 1/233280], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 3/10240], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 23/442368], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 13/73728], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 1/51840], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/8960], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1/4480], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 5/18432], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 7/307200], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 5/193536], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 1/73728], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 73/1327104], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 7/1105920], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 25/57344], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/10752], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 41/86016], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/20480], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 19/276480], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 109/245760], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1/12800], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 1/14336], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 11/172032], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 17/110592], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/30720], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 11/40960], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 1/30720], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 121/589824], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 19/491520], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 5/93312], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 59/1843200], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 383/995328], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 4661/33177600], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/46080], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 533/663552], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 151/516096], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 61/258048], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 787/2949120], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 9619/13271040], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1721/1769472], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 71/276480], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 1417/3538944], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/12960], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/14400], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 5/24192], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 131/1161216], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 163/2488320], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 7/691200], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 59/82944], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/49152], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 383/248832], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 59/3096576], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 5/193536], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 43/276480], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 977/663552], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 25133/53084160], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/3840], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 7807/13271040], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 1/5760], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1/967680], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1/86400], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 13/48384], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 17/72576], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/3456], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 23/51840], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 7/7776], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/165888], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 59/6635520], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 11939/9953280], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 61/884736], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1/17280], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 43/124416], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 17/103680], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 11/580608], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 1/145152], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 5/62208], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 89/311040], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 7/2488320], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 157/746496], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 7/1990656], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 43/497664], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 11/1244160], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/19440], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/373248], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 23/368640], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 5/221184], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 91/1382400], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 1/20736], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 13/331776], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 67/3981312], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 91/4976640], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/20480], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1/11520], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 59/860160], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 1/10752], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 7/230400], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 511/2211840], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 121/614400], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 13/48384], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 787/3096576], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 181/663552], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1147/6635520], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 1/2304], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 1/3360], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 1/3072], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 61/286720], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/5760], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 27691/44236800], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 17/57600], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 317/774144], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 277/516096], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1147/1179648], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 9/20480], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 3023/2949120], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1801/11059200], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 5123/4423680], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 13/30720], [[[1, 5], [2, 6], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/69120], [[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/184320], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 28363/29859840], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 743/92897280], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 1/17280], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 37277/19906560], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 277/6193152], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 41/1105920], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 12209/132710400], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 5077/3317760], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 1517/3276800], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 503/2211840], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 2637239/2972712960], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1/19200], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 1/1290240], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/460800], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 17/115200], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 41/387072], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 817/2322432], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 13/663552], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 2789/4976640], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 11/161280], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 8281/6635520], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 1/221184], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 7/276480], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 229/163840], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 1375/18579456], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1/41472], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 15499/26542080], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 167/1382400], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 25/774144], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 67/2322432], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 61/552960], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 187/552960], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/368640], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 1663/3981312], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 143/19906560], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 7373/69672960], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/61440], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 17/2488320], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1/155520], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 203/14929920], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 1/107520], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/76800], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 181/4423680], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 2329/5529600], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 11/193536], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 1987/3096576], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1657/7962624], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 13109/19906560], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 173/3870720], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/32256], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 1/516096], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 127/516096], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 29/345600], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 18643/154828800], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 1/11520], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 389/1548288], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 2929/3096576], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 1619/1474560], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 277/184320], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 779/1474560], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 53/276480], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 1411/884736], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 2141/1843200], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/215040], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 1/96768], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 1/6912], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 618857/418037760], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 31/13271040], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 1577/46448640], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 8923/743178240], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 55007/46448640], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 108637/2229534720], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 113/5806080], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 115795/297271296], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 227/19353600], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/8294400], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 359/61931520], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 23273/185794560], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 29/3317760], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 79763/132710400], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 131/99532800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 2801/9289728], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1271/495452160], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 467/6193152], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 1427/309657600], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 1/1548288], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 11/311040], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 3847/418037760], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 20953/3715891200], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 227/15482880], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 1781/2580480], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 10939/42467328], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 54517/33177600], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 37/786432], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 1391/38707200], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 3203/6193152], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 125807/88473600], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 109/637009920], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 4015631/8360755200], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 12487/8918138880], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 2549/139345920], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 10720403/89181388800], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 547/1857945600], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 37/185794560], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 161521/1393459200], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 277/41287680], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 282707/4459069440], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 1180501/1592524800], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 9100951/267544166400], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/18432], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 1/9216], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1/115200], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 1/18432], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1/98304], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/86400], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/193536], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/145152], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 1/414720], [[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 1/331776], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 1/311040], [[[1, 6], [2, 1], [4, 2], [8, 2], [14, 1]], 1/645120], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 1/15360], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 3/81920], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 31/460800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 379/552960], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/442368], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 23/516096], [[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 5/129024], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 17/491520], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 1/147456], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 109/589824], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1/131072], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 17/115200], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 217/884736], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 1/110592], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/12288], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/21504], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/18432], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 143/2654208], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 41/147456], [[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/92160], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 5/221184], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 1/17280], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/62208], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/10752], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 107/1658880], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 31/331776], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 103/663552], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 11/221184], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/32400], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 1/36288], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/15552], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 5/145152], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/20736], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 5/55296], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 5/82944], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 11/165888], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1/77760], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 5/108864], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/10368], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/62208], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/15552], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/124416], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/82944], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/46656], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 307/737280], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 17/3317760], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 49/2764800], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 17/215040], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/10752], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 5/36864], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 3/57344], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 113/1290240], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/138240], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 29/61440], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 1/38400], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 35/1769472], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 7/98304], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 1/30720], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 19/196608], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/98304], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/373248], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 121/614400], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 43/497664], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 511/2211840], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 7/230400], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 43/124416], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 277/516096], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 317/774144], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 13/30720], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 7807/13271040], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 5123/4423680], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1801/11059200], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 1417/3538944], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/19440], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1/86400], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 1/145152], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 11/580608], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 11/1244160], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 91/1382400], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 157/746496], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 5/221184], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 11939/9953280], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 787/3096576], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 13/48384], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 9/20480], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 977/663552], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1147/1179648], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/5760], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 9619/13271040], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 89/311040], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/69120], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/14400], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 17/72576], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 13/48384], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 5/62208], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 17/103680], [[[1, 6], [2, 5], [3, 2], [8, 1], [14, 1]], 1/96768], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 7/7776], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 13/331776], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 1/20736], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1147/6635520], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 383/248832], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 181/663552], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1/11520], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 533/663552], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 23/51840], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 131/1161216], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 5/24192], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/3456], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 1/5760], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 91/4976640], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 59/82944], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 67/3981312], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 383/995328], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 163/2488320], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/12960], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 5/93312], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/20480], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/49152], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 7/691200], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/165888], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 7/1990656], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 7/2488320], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 23/368640], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1/17280], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 61/286720], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 1/3360], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/46080], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 4661/33177600], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 59/1843200], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 5/193536], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 59/3096576], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 61/884736], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 59/6635520], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 1/3072], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 1/10752], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 1/2304], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 59/860160], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/3840], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 3023/2949120], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 17/57600], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 61/258048], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 151/516096], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 25133/53084160], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 43/276480], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 27691/44236800], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 71/276480], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1721/1769472], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 787/2949120], [[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1/967680], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 11/276480], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 1691/2985984], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1061/33177600], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 1/11520], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 26873/13271040], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 137/387072], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 151/483840], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 349/589824], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 72089/26542080], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 820187/619315200], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 533/829440], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 791693/424673280], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 73/311040], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 1/80640], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 7/230400], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 29/276480], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 587/2322432], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 95/331776], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 7/165888], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 497/1658880], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 41/645120], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 134287/59719680], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 11/258048], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 5/580608], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 29/138240], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 1577/491520], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 53881/132710400], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 67/207360], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 26977/13271040], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 149/331776], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 1/86400], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 167/1161216], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 23/193536], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 967/3317760], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 239/414720], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 1/103680], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 73/2488320], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 95371/59719680], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 155/3981312], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 7/155520], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 15959/19906560], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 47/497664], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/36864], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 1/6912], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 265/1990656], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 7/103680], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 67/1290240], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1/32256], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 13/230400], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 3/81920], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 481/2764800], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 1/5376], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 17/73728], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 427/3981312], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 1757/9953280], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 37/258048], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 1/6720], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 5/73728], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 97/645120], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 17/51840], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 8603/16588800], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 7/19200], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 223/387072], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 569/774144], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 48401/53084160], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 1649/2211840], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 6941/8847360], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 191/368640], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 257801/132710400], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 5437/4423680], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 1/35840], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 29/483840], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 122599/59719680], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 229/6193152], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 157/1720320], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 57823/530841600], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 13297/4644864], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 193187/696729600], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 26729/116121600], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 159401/92897280], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 449/4147200], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 1/552960], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 1/691200], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 18329/371589120], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 18761/92897280], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 161/3317760], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 5291/7372800], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 13/552960], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 26287/19906560], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 268319/8918138880], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1/124416], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 1326317/1857945600], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 14771/265420800], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 299/23224320], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 221/1658880], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 46843/418037760], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 17/345600], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 356821/7431782400], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 1/34560], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 41/344064], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 5017/7741440], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 11209/35389440], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 39443/33177600], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 229/1966080], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 403/1658880], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 416417/371589120], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 151381/88473600], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 11/1382400], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 1157/212336640], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 502133/418037760], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 3365/254803968], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 3229/46448640], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 101607673/178362777600], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 1837/278691840], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 1/290304], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 141793/557383680], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 62477/836075520], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 271/22118400], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 642643/4459069440], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 1700783/1592524800], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 5286413/38220595200], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 7/230400], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 43/184320], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/73728], [[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 1/129024], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 17/294912], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 1/786432], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/9600], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1/24576], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/18432], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/46080], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1/294912], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 5/65536], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1/8640], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 43/580608], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 47/829440], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 7/331776], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 1/73728], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/30240], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 1/64800], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 5/72576], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 59/1244160], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 5/165888], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 5/165888], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/82944], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 1/15552], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/31104], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/62208], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/82944], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 7/233280], [[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 1/645120], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/61440], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 29/92897280], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 29/25804800], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 1/69120], [[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 19/2580480], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 59/491520], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 113/307200], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/995328], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 631/1474560], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/76800], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 733/19906560], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 53/129024], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 47/258048], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 533/1843200], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 2329/13271040], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 3743/4423680], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 241/5529600], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 85/442368], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/1161216], [[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 1/2488320], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 31/115200], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 13/466560], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 13/884736], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 2603/9953280], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 133/221184], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 17/193536], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 61/110592], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 3911/6635520], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 16657/17694720], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/19200], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1573/4423680], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/6480], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 67/967680], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1/8640], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 11/145152], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 11/145152], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 11/622080], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 11/311040], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 73/207360], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 5/21504], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 347/663552], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 263/414720], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 133/294912], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 23/46080], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 29/103680], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 205/870912], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/16128], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 5/20736], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 13/82944], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 125/248832], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 7/110592], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 445/995328], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 341/1866240], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 29/186624], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 31/737280], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 17/3317760], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 1/1382400], [[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 1/2322432], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/3981312], [[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 1/4976640], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 49/2764800], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 39/143360], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/10752], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 5783/92897280], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 7/1843200], [[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 1/442368], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 173/19906560], [[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 7/6635520], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 5/258048], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 181/1935360], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 1/122880], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/41472], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 757/983040], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1/11520], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/129024], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 961/20643840], [[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 1/276480], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 815/6193152], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 53/368640], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 3347/8847360], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 2149/44236800], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 481/2764800], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 265/1990656], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 3/81920], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 13/230400], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 15959/19906560], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 569/774144], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 223/387072], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 5437/4423680], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 26977/13271040], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 257801/132710400], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 191/368640], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 791693/424673280], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 1/6912], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 29/483840], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/40320], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 29/276480], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 7/230400], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 23/193536], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 167/1161216], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/36864], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 47/497664], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 1/32256], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 1/35840], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 95371/59719680], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 17/73728], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 1/5376], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 1649/2211840], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 1577/491520], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 48401/53084160], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 17/51840], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 72089/26542080], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 239/414720], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 95/331776], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 587/2322432], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 967/3317760], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 149/331776], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 1/69120], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 1757/9953280], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 134287/59719680], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 427/3981312], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 7/103680], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 26873/13271040], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 497/1658880], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 7/165888], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 73/311040], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 1691/2985984], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 7/155520], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 97/645120], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 1/6720], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 1/11520], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1061/33177600], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 11/276480], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 5/580608], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 11/258048], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 155/3981312], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 73/2488320], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 5/73728], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1/32256], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 37/258048], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 67/1290240], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 67/207360], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 6941/8847360], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 7/19200], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 151/483840], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 137/387072], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 53881/132710400], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 29/138240], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 8603/16588800], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 533/829440], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 820187/619315200], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 349/589824], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 41/645120], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 1/103680], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 1/86400], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 1/80640], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 65239/39813120], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 565/3096576], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 137/737280], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 101149/176947200], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 56387/14745600], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 101137/132710400], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 1481/2073600], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 1898897/530841600], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 97/307200], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/184320], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 11/345600], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 17/110592], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 7717/37158912], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 47/552960], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 14183/26542080], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 1/55296], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 193/1327104], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 544207/199065600], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 17311/132710400], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 31/207360], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 165053/66355200], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 101/414720], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 437/8294400], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 25/82944], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 184763/298598400], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 11/51840], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 1381/8294400], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 29/172800], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 2741/9289728], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 6011/15482880], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 17789/70778880], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 16457/33177600], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 6793/35389440], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 877/1327104], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 49781/41287680], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 38111/29491200], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 13/414720], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 17/691200], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 181579/3185049600], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 181343/92897280], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 968519/14863564800], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 4553/25804800], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 76091531/44590694400], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 7057/123863040], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 601/30965760], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 17731/49766400], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 7059289/16721510400], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 713/6635520], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 1055759/4459069440], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 2121233/2229534720], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 33634649/89181388800], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/184320], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 7/368640], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 1/98304], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/38400], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/73728], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 1/17280], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 1/41472], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 61/3317760], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 5/1327104], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/15120], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 5/145152], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 7/311040], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/36288], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/62208], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 1/124416], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/248832], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/77760], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/430080], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 1/1105920], [[[1, 8], [2, 1], [4, 3], [8, 1], [14, 1]], 1/2580480], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 97/368640], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 599/4423680], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 113/645120], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 7/184320], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 271/4915200], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 37/13271040], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 809/2949120], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 37/3686400], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 155/3538944], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 193/460800], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 13/1244160], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 1597/3096576], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 877/2764800], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 743/6635520], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 451/1769472], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 161/2211840], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 13/80640], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1/14400], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 1/145152], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 37/622080], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 1003/2322432], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 3821/6635520], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 47/368640], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 343/1327104], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 103/737280], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 1/34560], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 737/3483648], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 11/207360], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 1739/4976640], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 53/414720], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 395/3981312], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 17/103680], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 1729/7464960], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 5/31104], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 29/92897280], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 29/25804800], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 25/172032], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 463/30965760], [[[1, 8], [2, 3], [4, 2], [6, 1], [10, 2]], 1/3686400], [[[1, 8], [2, 3], [4, 2], [6, 2], [14, 1]], 1/6193152], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 163/278691840], [[[1, 8], [2, 3], [4, 2], [6, 3], [10, 1]], 1/13271040], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 1/86016], [[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 1/1720320], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 41/294912], [[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 1/1935360], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 517/123863040], [[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 1/4147200], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 157/12386304], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 1/69120], [[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 17/11059200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 2329/5529600], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 203/14929920], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 181/4423680], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/76800], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 7373/69672960], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 2929/3096576], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 389/1548288], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 2141/1843200], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 15499/26542080], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 1411/884736], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 53/276480], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 2637239/2972712960], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1/155520], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 1/6912], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 17/115200], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/460800], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 67/2322432], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 25/774144], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 17/2488320], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/61440], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 1/96768], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/215040], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 1663/3981312], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 1987/3096576], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 11/193536], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 277/184320], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 229/163840], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 1619/1474560], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 29/345600], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 5077/3317760], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 187/552960], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 817/2322432], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 41/387072], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 61/552960], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 167/1382400], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 13109/19906560], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 8281/6635520], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1657/7962624], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 37277/19906560], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 2789/4976640], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 13/663552], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1/19200], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 28363/29859840], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 127/516096], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/32256], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 1/17280], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 743/92897280], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/184320], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 1/221184], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 143/19906560], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/368640], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 1/516096], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 173/3870720], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 1/107520], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1/41472], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 779/1474560], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 1/11520], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 41/1105920], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 277/6193152], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 1375/18579456], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 7/276480], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 18643/154828800], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 503/2211840], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 1517/3276800], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 12209/132710400], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 11/161280], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 184763/298598400], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 6011/15482880], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 2741/9289728], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 38111/29491200], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 165053/66355200], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 49781/41287680], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 877/1327104], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 1898897/530841600], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 25/82944], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 1/552960], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 17/691200], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 7717/37158912], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 17/110592], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 437/8294400], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 101/414720], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 13/414720], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 16457/33177600], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 544207/199065600], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 17789/70778880], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 11/51840], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 56387/14745600], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 14183/26542080], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 47/552960], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 97/307200], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 65239/39813120], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 31/207360], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 6793/35389440], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 29/172800], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 137/737280], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 565/3096576], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 17311/132710400], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 193/1327104], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 1381/8294400], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 1481/2073600], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 101137/132710400], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 101149/176947200], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 1/55296], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 11/345600], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/184320], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 272299/1061683200], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 142649/69672960], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 7849477/44590694400], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 33683/99532800], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 182686871/59454259200], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 2927/14745600], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 4717/103219200], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 44089/132710400], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1739509/1393459200], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 421/1327104], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 638563/2477260800], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 61871/106168320], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 7229221/9555148800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 133/1843200], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/184320], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 23/860160], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 109/14745600], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 131/2949120], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 19/76800], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 359/2211840], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 179/2764800], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 181/17694720], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 19/1474560], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 19/107520], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 1/86400], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 49/165888], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 23683/99532800], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 79/3317760], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 145/2654208], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/92160], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 137/1741824], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 719/2488320], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 119/1990656], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 13/552960], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 101/746496], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/124416], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 71/2580480], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 1/1105920], [[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 1/1935360], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 7/2949120], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 163/743178240], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 163/206438400], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 1/1105920], [[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 1/11059200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 479/921600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 163/209018880], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 47/4423680], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 113/17418240], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 2213/3096576], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 317/7741440], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 4781/8847360], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 305/9289728], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 67783/123863040], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 943/25804800], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 63457/330301440], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 389/1935360], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 43/460800], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 1/165888], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 47/23224320], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 29/69672960], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 47/49766400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 5179/139345920], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 1349/1548288], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 73/49152], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 25061/92897280], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 2491/4423680], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 26053/61931520], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 23/276480], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 2941/11612160], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 47/3870720], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 17/829440], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 47/8294400], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 3811/3317760], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 2263/6635520], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 307/1327104], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 793/995328], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 43301/74649600], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 12043/14929920], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 1/4480], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 11/691200], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 1/2064384], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/3686400], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/6193152], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 221/557383680], [[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/13271040], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 1/221184], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/1720320], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 563/4423680], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 31/7741440], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 31/10321920], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1027/139345920], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/614400], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 7829/464486400], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 8339/148635648], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 73/8257536], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 67/1935360], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 46843/418037760], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 5017/7741440], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 41/344064], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 151381/88473600], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 1326317/1857945600], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 416417/371589120], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 403/1658880], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 159401/92897280], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 221/1658880], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 18761/92897280], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 18329/371589120], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 299/23224320], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 14771/265420800], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 11/1382400], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 39443/33177600], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 26287/19906560], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 11209/35389440], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 17/345600], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 13297/4644864], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 5291/7372800], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 161/3317760], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 449/4147200], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 122599/59719680], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1/124416], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 229/1966080], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 1/34560], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 157/1720320], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 229/6193152], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 268319/8918138880], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 13/552960], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 356821/7431782400], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 26729/116121600], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 193187/696729600], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 57823/530841600], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 1/691200], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 61871/106168320], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1739509/1393459200], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 638563/2477260800], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 421/1327104], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 182686871/59454259200], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 44089/132710400], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 4717/103219200], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 2927/14745600], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 142649/69672960], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 33683/99532800], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 7849477/44590694400], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 272299/1061683200], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 21394721/19110297600], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/322560], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 17/1843200], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/368640], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 19/460800], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 181/15482880], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 11/1382400], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 31/35389440], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 13/161280], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 145/2322432], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 2231/99532800], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/129024], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 401/4976640], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 41/3981312], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/311040], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 73/2488320], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/368640], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/5898240], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 143/460800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 163/557383680], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 953/3870720], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 114313/928972800], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 55/37158912], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 26207/371589120], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 3277/495452160], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 13/80640], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 17/691200], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 1/2322432], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 221/139345920], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 439/774144], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 1799/2764800], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 353/30965760], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 247/1769472], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 397/6193152], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 11/1658880], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 73/829440], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 29/23224320], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 2323/2488320], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 125/3096576], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 2659/19906560], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 47/344064], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 11861/37324800], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 379/1105920], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 19/184320], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 1/691200], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 1/7741440], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 13/737280], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 547/2229534720], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 547/619315200], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 523/148635648], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 5/10616832], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/138240], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 3847/418037760], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 1781/2580480], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 227/15482880], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 125807/88473600], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 467/6193152], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 3203/6193152], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 1391/38707200], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 115795/297271296], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 11/311040], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 23273/185794560], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 359/61931520], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 1/1548288], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 1427/309657600], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 54517/33177600], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 2801/9289728], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 10939/42467328], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 55007/46448640], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 79763/132710400], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 29/3317760], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 227/19353600], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 618857/418037760], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 37/786432], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 1577/46448640], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 31/13271040], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1271/495452160], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 131/99532800], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 20953/3715891200], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 113/5806080], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 108637/2229534720], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 8923/743178240], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/8294400], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 2121233/2229534720], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 7059289/16721510400], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 1055759/4459069440], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 713/6635520], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 76091531/44590694400], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 17731/49766400], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 601/30965760], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 7057/123863040], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 181343/92897280], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 4553/25804800], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 968519/14863564800], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 181579/3185049600], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 21394721/19110297600], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 73/921600], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 181/5806080], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 27529/1857945600], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 131/106168320], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 37/110100480], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 11/161280], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 1/460800], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 247/1548288], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 71573/696729600], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/1451520], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 89/7077888], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 59/30965760], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 151/11612160], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 3287/9953280], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 653/19906560], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 547/61931520], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 6311/74649600], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 49/995328], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 13/645120], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 7/5898240], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 547/1672151040], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 6407/15482880], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 134083/206438400], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 2129/557383680], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 3421/26542080], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 2713/74317824], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 31/4976640], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 2939/69672960], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 109/371589120], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 109/796262400], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 13693/11059200], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 2263/79626240], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 197/1474560], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 71009/278691840], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 63067/209018880], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 261799/418037760], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 5/294912], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 271/46448640], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 547/8918138880], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 547/2477260800], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 349/232243200], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 2129/743178240], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 53/106168320], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 1700783/1592524800], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 62477/836075520], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 642643/4459069440], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 271/22118400], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 101607673/178362777600], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 141793/557383680], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 1/290304], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 1837/278691840], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 502133/418037760], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 3229/46448640], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 3365/254803968], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 1157/212336640], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 7229221/9555148800], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 1/147456], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 131/92897280], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 403/371589120], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 7/106168320], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 1/80640], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 89/6193152], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 2021/348364800], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1/1548288], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 1459/39813120], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 211/79626240], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 31/46448640], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 5/663552], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1/737280], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 6047/46448640], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 104659/743178240], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 1787/106168320], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 1999/743178240], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1/2488320], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 1141/159252480], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 337163/696729600], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 757/557383680], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 47873/1274019840], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 131/5806080], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 1414213/16721510400], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 14729/111476736], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 253/70778880], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 17/46448640], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 1180501/1592524800], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 277/41287680], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 282707/4459069440], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 10720403/89181388800], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 161521/1393459200], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 37/185794560], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 547/1857945600], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 4015631/8360755200], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 2549/139345920], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 12487/8918138880], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 109/637009920], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 33634649/89181388800], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 1787/92897280], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 146837/11147673600], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 97/106168320], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 137/1486356480], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 307/557383680], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 15271/174182400], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 3197/637009920], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 89/92897280], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 97789/8360755200], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 29/2903040], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 13/35389440], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 319999/1061683200], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 137/557383680], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 2597/141557760], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 681977/44590694400], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 534407/16721510400], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 1919879/16721510400], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 1679/696729600], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 29/318504960], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 5286413/38220595200], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 97/92897280], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 5683/11147673600], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/74317824], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 4019/696729600], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 317/1274019840], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 53/1114767360], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 97/159252480], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 1/70778880], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 1517161/22295347200], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 3893/1274019840], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 11119/11890851840], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 21013/4180377600], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 9953/696729600], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 173/1393459200], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 1/318504960], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 9100951/267544166400], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 173633/22295347200], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 331/1274019840], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 7/283115520], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 6779/16721510400], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 769/1114767360], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 1351547/267544166400], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 1559/4459069440], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 11/1274019840], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 29/35672555520], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/79626240], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 1187/2972712960], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 1/79626240], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/322560], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 1/6144], [[[1, 1], [2, 2], [4, 2], [6, 2], [7, 1], [8, 2]], 1/16128], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 2], [10, 1]], 1/4480], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/6912], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 1/27648], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 1/24576], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 1], [2, 4], [4, 3], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1382400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 31/276480], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 1/196608], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 17/6193152], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/387072], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160], [[[1, 1], [2, 8], [3, 1], [4, 3], [5, 1], [8, 1]], 1/5529600], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 23/552960], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8064], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 11/4423680], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 55/49545216], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 17/645120], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 1/122880], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/6635520], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 1/6144], [[[1, 2], [2, 1], [3, 2], [4, 2], [8, 2], [14, 1]], 1/16128], [[[1, 2], [2, 1], [4, 2], [5, 1], [8, 2], [14, 1]], 1/4480], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 1/6144], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 2]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 7/27648], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 1/4096], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 19/41472], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 1/9216], [[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [8, 2]], 1/16128], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [10, 1]], 1/4480], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 2]], 1/11520], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 1/4800], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 2], [2, 3], [4, 2], [6, 3], [7, 1], [8, 1]], 1/24192], [[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [7, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/10368], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/103680], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 101/221184], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/64512], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 17/110592], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [6, 2]], 1/276480], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [8, 1]], 1/61440], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 1/76800], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [7, 1]], 1/172032], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 1/43008], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 7/110592], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/24576], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/10368], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 3]], 1/103680], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 11/829440], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/16128], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/10368], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 19/165888], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/69120], [[[1, 2], [2, 5], [3, 2], [4, 4], [5, 1], [6, 1]], 1/368640], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 1/73728], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 11/230400], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 1/9216], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 2]], 1/1382400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 31/276480], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 5/48384], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/20736], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 29/368640], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/48384], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 17/138240], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [8, 1]], 1/967680], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 19/5529600], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/516096], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 493/2211840], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 17/1105920], [[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 1/276480], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 241/1769472], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 7/184320], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 11/207360], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 2]], 7/414720], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2073600], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 23/207360], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/17280], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 13/1658880], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/4032], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 1/46080], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 29/161280], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 1/9216], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 13/460800], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 17/6193152], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 17/774144], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 1/147456], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 59/552960], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [8, 1]], 1/4147200], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 31/30965760], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 1/442368], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 817/15482880], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 53/2211840], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 941/49545216], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/552960], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 29/23224320], [[[1, 2], [2, 9], [3, 2], [4, 2], [5, 1], [6, 1]], 31/66355200], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 55/18579456], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 71/322560], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 13/184320], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 17/737280], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 1/884736], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1769472], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 31/1474560], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 199/148635648], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 31/13271040], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 1/84934656], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 7/6635520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 1/6144], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 1/9216], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 1/4096], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [14, 1]], 1/16128], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 19/41472], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 7/27648], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [14, 1]], 1/16128], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/13824], [[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 1/17280], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/4800], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 3], [2, 2], [4, 3], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 1/18144], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 13/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/20736], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 11/46080], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 1/103680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 7/6144], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 37/165888], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 1/7168], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/138240], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/10240], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/38400], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/28672], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 3/57344], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 53/221184], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 1/40960], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 23/196608], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [8, 1]], 1/12096], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 1/38880], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 19/41472], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/18144], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/10368], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [10, 1]], 1/12960], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/51840], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 7/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/16128], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 17/31104], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/103680], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [8, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/28800], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/64512], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/16128], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 17/27648], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 23/138240], [[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/61440], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1/6912], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 1/276480], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 3]], 1/38880], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 5/15552], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 1/12960], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 19/62208], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/103680], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 3], [4, 3], [5, 1], [6, 1]], 1/138240], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/36864], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 1/11520], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 1/4800], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 13/69120], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 7/92160], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/3584], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/1792], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 7/69120], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 19/64512], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/10752], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/18432], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/76800], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 7/61440], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 1/92160], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 11/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/43200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/12096], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/4536], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 19/124416], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/9720], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1283/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 13/96768], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 29/193536], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 13/18432], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/9216], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1/46080], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 113/2764800], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 167/1548288], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/7168], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 73/92160], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/4608], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 13/36864], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 29/1105920], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 1165/1769472], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 7/61440], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 11/829440], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/10368], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/12096], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 7/20736], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/5184], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 13/207360], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/193536], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 559/829440], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 7/34560], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/51840], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 167/3317760], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 247/737280], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1/6912], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/25920], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 7/155520], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 13/311040], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/6480], [[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1], [6, 1]], 1/414720], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 13/622080], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/51840], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 11/230400], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/21504], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 7/115200], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 5/21504], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/4608], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 11/86400], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 19/40960], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 47/1105920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/69120], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 43/967680], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 85/387072], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1549/9953280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 235/497664], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/967680], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/161280], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 13/345600], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 583/77414400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 241/15482880], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 71/3096576], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1973/4423680], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 397/2211840], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 49/2764800], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 42463/123863040], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 17/122880], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/483840], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 43/2073600], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [8, 1]], 1/2073600], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 31/11612160], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 47/414720], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/12960], [[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 241/33177600], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 211/3870720], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1036800], [[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 31/24883200], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 163/139345920], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/161280], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 299/645120], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 19/122880], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 17/516096], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 71/368640], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1/16588800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 109/92897280], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 31/1290240], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 241/9289728], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 479/2073600], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 1/2211840], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 163/154828800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 2869/106168320], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 163/6635520], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 109/199065600], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 89/37158912], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 11/184320], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 7283/8918138880], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1123/55738368], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [14, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/7680], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 1/24576], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 1/27648], [[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [14, 1]], 1/64512], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/6912], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 4], [2, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 7/92160], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 7/41472], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 13/69120], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 7/6144], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 1/138240], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/10752], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 19/64512], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 1/276480], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 7/61440], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/76800], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 3/57344], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/28672], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/61440], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 23/196608], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 19/41472], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/103680], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 13/27648], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/16128], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 19/62208], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/3584], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/34560], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/10752], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 17/27648], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/103680], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 7/69120], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/40960], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 53/221184], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/138240], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/4032], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 1/12960], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/6048], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 5/15552], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 1/38880], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 17/31104], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 1/23040], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 37/165888], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [10, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 1/8640], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/25920], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 1/12960], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/10368], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/38880], [[[1, 4], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/17280], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/4800], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 11/46080], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 23/138240], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/28800], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 1/7168], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/10752], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/10240], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/12960], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/4608], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/21600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 19/145152], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 11/124416], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 19/311040], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 11/103680], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 15101/13271040], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 67/193536], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 109/193536], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/1296], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 23/82944], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/7168], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/4480], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 11/64512], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 31/73728], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/2688], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 101/258048], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1063/663552], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 181/552960], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 35/55296], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 7/69120], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1199/884736], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 73/368640], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/5040], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/43200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 5/82944], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/3024], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/3456], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 107/124416], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 19/51840], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 1/193536], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 103/414720], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/9600], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 97/387072], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/2688], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 41/20736], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/1920], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 23/69120], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/5120], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 313/276480], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 17/82944], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/10800], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/6480], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/72576], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/36288], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/2304], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 23/77760], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/25920], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 97/829440], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 55/248832], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 19/103680], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/10800], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/12960], [[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 1/155520], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/124416], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/19440], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 13/69120], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 11/48384], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2688], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 5/13824], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 17/28800], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 121/193536], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/4480], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/9216], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/7168], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 11/69120], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1003/2764800], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 13/115200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 227/368640], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 7/86400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 1/645120], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/115200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 121/737280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 7/86400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 1/4032], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 137/258048], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 2687/3981312], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 3569/4976640], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/20160], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 401/2073600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 247/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 1/23040], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 4133/15482880], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 943/3096576], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 5369/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 2021/2211840], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 293/1105920], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 401/1843200], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 86513/53084160], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 31/55296], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 11/172800], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1/7560], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 7/32400], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/122880], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 17/387072], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1/193536], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1121/1658880], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 161/414720], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/207360], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 4373/33177600], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 7369/13271040], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 53/138240], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 1/69120], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 1/86400], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 17/829440], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 107/3317760], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/38880], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/25600], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/57600], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 13/96768], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2560], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 13/92160], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 179/691200], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1387/2211840], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 17/387072], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1643/464486400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 13/645120], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 1217/7741440], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 473/1658880], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 13769/16588800], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 7/1105920], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 4147/116121600], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 56971/185794560], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 1559/5529600], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 29/19353600], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 709/58060800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 31/737280], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/207360], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 227/25804800], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 13/92160], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 547/464486400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 131191/8918138880], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 99769/696729600], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 11/829440], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 11/230400], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 101/221184], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/172032], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 1/73728], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 1/368640], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/24576], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/16128], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/64512], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 19/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 7/110592], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/6912], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/48384], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/48384], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/10368], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/103680], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/138240], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 17/110592], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/10368], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/103680], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/10368], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/76800], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/19440], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/92160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 5/82944], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/43200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/36288], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/72576], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/124416], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/155520], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 13/69120], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 19/103680], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1/7168], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/4480], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 15101/13271040], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/57600], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/2688], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 97/387072], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 55/248832], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 97/829440], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 121/193536], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 17/82944], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 227/368640], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 13/115200], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 101/258048], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/2688], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 313/276480], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/5120], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1003/2764800], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 73/368640], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1199/884736], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 7/69120], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/5040], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/12960], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/10800], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 23/77760], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/21600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/4608], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/3024], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/2304], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/6480], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 11/48384], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/1920], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 11/69120], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 109/193536], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 67/193536], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 41/20736], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 103/414720], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 5/13824], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 181/552960], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1063/663552], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/7680], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/30240], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/5040], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/2880], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/10800], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/4032], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 19/51840], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 19/145152], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/4032], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 107/124416], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/5184], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 23/82944], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/1296], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 11/103680], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 19/311040], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 11/124416], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/12960], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/9216], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2688], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/193536], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/4480], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 23/69120], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/9600], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 17/28800], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 11/64512], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/7168], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 35/55296], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 31/73728], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 103/311040], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/46080], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/14400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 3221/13271040], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 11/86400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 43/72576], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 155/193536], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 619/995328], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 733/1244160], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/21504], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/5760], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 1/32256], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1243/2073600], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 109/245760], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2880], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 2725/3096576], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 1363/1548288], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 33619/13271040], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 523/368640], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 323/414720], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 301/414720], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 29203/8847360], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 29/27648], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 53/207360], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 17/86400], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/57600], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 37/51840], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 19/552960], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 7/86400], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 299/774144], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 5/12096], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 1949/1105920], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 5/5184], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 73/414720], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 323/442368], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 10993/6635520], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 71/82944], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 11/43200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/6912], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 331/1658880], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 853/3981312], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 17/51840], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/13440], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 19/69120], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7/19200], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 5/13824], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5760], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 13/92160], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 5/73728], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 2039/2764800], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 29/115200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 25/36864], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 67/230400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 361/8294400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1/69120], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 683/3317760], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 221/483840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 6457/6635520], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 4417/2764800], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 149/2211840], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 46457/116121600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 91877/61931520], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 4177/3686400], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 59/2073600], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1/43200], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 23/552960], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 161/1105920], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 1901/7741440], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 269/829440], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 727/5529600], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 151/737280], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 9587/348364800], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1101797/8918138880], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 365357/696729600], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 1/27648], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [14, 1]], 1/64512], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/196608], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 31/276480], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 1/27648], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1382400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 11/829440], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 11/230400], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/51840], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/3360], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1283/2211840], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/193536], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 13/622080], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 1/414720], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 5/21504], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/6912], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 19/40960], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/7168], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 167/1548288], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 247/737280], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 167/3317760], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 11/86400], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 7/61440], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 1165/1769472], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 29/1105920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/6480], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/8064], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/43200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 11/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/12096], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/10368], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 13/311040], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 7/155520], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/21504], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 7/34560], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/4608], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 29/193536], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 13/96768], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 559/829440], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 13/207360], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 7/115200], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/4608], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 73/92160], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/4320], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/25920], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/5184], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/34560], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/4536], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/12096], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 7/20736], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/9216], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 13/18432], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/9720], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 19/124416], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 13/36864], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 113/2764800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 17/51840], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 13/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/5760], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 11/86400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 3221/13271040], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/14400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 5/12096], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 299/774144], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 853/3981312], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 331/1658880], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 5/13824], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 1/13440], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 71/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 25/36864], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 29/115200], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 1363/1548288], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 2725/3096576], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 10993/6635520], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 323/442368], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 2039/2764800], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 29/27648], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 29203/8847360], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 301/414720], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/6912], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 11/43200], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/10752], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 5/5184], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 5/73728], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 155/193536], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 43/72576], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 1949/1105920], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 37/51840], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 19/69120], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 523/368640], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 33619/13271040], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 1243/2073600], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 17/86400], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 53/207360], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 733/1244160], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 619/995328], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 103/311040], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5760], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 73/414720], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 7/86400], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7/19200], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/46080], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 19/552960], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 323/414720], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2880], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 109/245760], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1699/2073600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 89/552960], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 1/4320], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 533/774144], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 349/442368], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 16327/13271040], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 11219/6635520], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 103/331776], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 46721/33177600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 809987/265420800], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 21913/11059200], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/10240], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 641/829440], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 23353/33177600], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 131/138240], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 14057/33177600], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 61/345600], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 211/1105920], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 61513/232243200], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 34567/70778880], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 37927/33177600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 29/161280], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 29/368640], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 1/46080], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 1/46080], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/516096], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 13/1658880], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 13/460800], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 7/184320], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 241/1769472], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 1/276480], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/4032], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 31/276480], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 1/9216], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/48384], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 23/207360], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 7/414720], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 17/1105920], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 493/2211840], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/30240], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 1/17280], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 5/48384], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 11/207360], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/23040], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 17/138240], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/20736], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/41472], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/1382400], [[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/967680], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2073600], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 19/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/38880], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 1/2560], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 7/86400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 121/737280], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/115200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1/193536], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 17/387072], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 107/3317760], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 17/829440], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 13/96768], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/53760], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 53/138240], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1387/2211840], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 943/3096576], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 4133/15482880], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 7369/13271040], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 4373/33177600], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 179/691200], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 31/55296], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 86513/53084160], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 401/1843200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1/7560], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 1/86400], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/69120], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 161/414720], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 13/92160], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 137/258048], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 1/4032], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1121/1658880], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 7/32400], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/25600], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 2021/2211840], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 5369/3317760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 401/2073600], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 11/172800], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 3569/4976640], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 2687/3981312], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 7/86400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/207360], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/57600], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 1/645120], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/122880], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 293/1105920], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 247/3317760], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 131/138240], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 211/1105920], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 61/345600], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 349/442368], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 533/774144], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 23353/33177600], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 641/829440], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 14057/33177600], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 21913/11059200], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 809987/265420800], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 46721/33177600], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/9216], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/10240], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 11219/6635520], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 16327/13271040], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1699/2073600], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 103/331776], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 89/552960], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 31763/33177600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 1399609/1486356480], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 24307/16588800], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 1/40320], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 17/6193152], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/368640], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/8064], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/387072], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 23/552960], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1/34560], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 299/645120], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/69120], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 47/1105920], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 31/11612160], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 163/139345920], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 31/24883200], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/161280], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 71/368640], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 71/3096576], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 241/15482880], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 211/3870720], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 241/33177600], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 17/516096], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 17/122880], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 42463/123863040], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 49/2764800], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/483840], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1036800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/12960], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 19/122880], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 85/387072], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 43/967680], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 47/414720], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 43/2073600], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 397/2211840], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1973/4423680], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 13/345600], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 235/497664], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1549/9953280], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/967680], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2073600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 583/77414400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 269/829440], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 151/737280], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 221/483840], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 683/3317760], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 1901/7741440], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 161/1105920], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 727/5529600], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 4177/3686400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 91877/61931520], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 46457/116121600], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 23/552960], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 1/43200], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 59/2073600], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 4417/2764800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 6457/6635520], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 67/230400], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 149/2211840], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 361/8294400], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 24307/16588800], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 1399609/1486356480], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 31763/33177600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 71/322560], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 17/6193152], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 17/737280], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 1/442368], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 31/30965760], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 55/18579456], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 31/66355200], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/552960], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 941/49545216], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 1/120960], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 13/184320], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 17/774144], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 29/23224320], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 53/2211840], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 817/15482880], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 59/552960], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 1/147456], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/4147200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1/207360], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 13/92160], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 1217/7741440], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 13/645120], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 31/737280], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 709/58060800], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 227/25804800], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1559/5529600], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 56971/185794560], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 4147/116121600], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 29/19353600], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 13769/16588800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 473/1658880], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 17/387072], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 7/1105920], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1643/464486400], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 37927/33177600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 34567/70778880], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 61513/232243200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 17/645120], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/6193152], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 55/49545216], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 1/122880], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 11/4423680], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 11/184320], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 31/1290240], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 109/92897280], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 89/37158912], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 109/199065600], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 163/6635520], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 2869/106168320], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 163/154828800], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 479/2073600], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 241/9289728], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/16588800], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 365357/696729600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1101797/8918138880], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 9587/348364800], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 1/92160], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/884736], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 31/13271040], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 199/148635648], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 31/1474560], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1769472], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 99769/696729600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 131191/8918138880], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 547/464486400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 1/1474560], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/6635520], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1123/55738368], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 7283/8918138880], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/6635520], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 1/84934656], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 2]], 1/34560], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/9600], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [14, 1]], 1/5376], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2], [10, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/2304], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/34560], [[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [8, 2], [10, 1]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/12096], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3], [8, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/9600], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/51840], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/28800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 11/34560], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/138240], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2304], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/25920], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/4320], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/51840], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/28800], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/483840], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/691200], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/6912], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1036800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/34560], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/51840], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/25920], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/17280], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/51840], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/9600], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/14400], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 7/51840], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/3456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/5040], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 13/69120], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 23/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1536], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 11/23040], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/34560], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/51840], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/10800], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 7/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/14400], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 41/103680], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7200], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/10800], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/12960], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 59/691200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/3072], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 127/691200], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/14400], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 11/11520], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/207360], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/21600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3456], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/3870720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/2304], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/34560], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/5040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/12960], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 41/103680], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/14400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/34560], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3360], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/7200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5040], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/17280], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/10800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 7/51840], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/23040], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 13/69120], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 7/51840], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/14400], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 23/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 43/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 3/7168], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 17/32256], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 11/23040], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 77/103680], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 191/138240], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3600], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 31/138240], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/21600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 221/414720], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/115200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 29/207360], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/10800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 343/552960], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/2304], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/3456], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/24192], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/51840], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/2304], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/138240], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4320], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/25920], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/34560], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/3360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 221/414720], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/21600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 17/115200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 17/32256], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 3/7168], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 31/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 191/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 77/103680], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3600], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 11/23040], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 43/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3200], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 529/829440], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13/28800], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/960], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/9216], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3456], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/21600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/13824], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/207360], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/11520], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/14400], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 127/691200], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/3072], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 59/691200], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/115200], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/960], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13/28800], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 529/829440], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/483840], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1036800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/6912], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/691200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 343/552960], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/10800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 29/207360], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/3870720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/14400], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880] ]}