{[ [[[1, 25]], 1/2104052938702848000], [[[2, 25]], 1/2104052938702848000], [[[1, 1], [2, 24]], 43/701350979567616000], [[[1, 2], [2, 23]], 7/2087354105856000], [[[1, 3], [2, 22]], 211/2054739197952000], [[[1, 4], [2, 21]], 2061709/1052026469351424000], [[[1, 5], [2, 20]], 25897037/1052026469351424000], [[[1, 5], [4, 10]], 109/144955146240], [[[1, 6], [2, 19]], 23039/109586090557440], [[[1, 7], [2, 18]], 164239501/131503308668928000], [[[1, 8], [2, 17]], 1582335673/300578991243264000], [[[1, 9], [2, 16]], 33849425551/2104052938702848000], [[[1, 9], [4, 8]], 1669/8697308774400], [[[1, 10], [2, 15]], 96184297/2630066173378560], [[[1, 11], [2, 14]], 1041632773/16437913583616000], [[[1, 11], [3, 7]], 1/8957952], [[[1, 12], [2, 13]], 14749030873/175337744891904000], [[[1, 13], [2, 12]], 14749030873/175337744891904000], [[[1, 13], [3, 6]], 89/1433272320], [[[1, 13], [4, 6]], 5531/365286968524800], [[[1, 13], [5, 3]], 1/18432000], [[[1, 14], [2, 11]], 1041632773/16437913583616000], [[[1, 15], [2, 10]], 96184297/2630066173378560], [[[1, 15], [3, 5]], 113/10701766656], [[[1, 16], [2, 9]], 33849425551/2104052938702848000], [[[1, 17], [2, 8]], 1582335673/300578991243264000], [[[1, 17], [3, 4]], 14029/25684239974400], [[[1, 17], [4, 4]], 731/4383443622297600], [[[1, 17], [5, 2]], 59/1189085184000], [[[1, 17], [8, 2]], 1/26091926323200], [[[1, 18], [2, 7]], 164239501/131503308668928000], [[[1, 19], [2, 6]], 23039/109586090557440], [[[1, 19], [3, 3]], 293/25684239974400], [[[1, 19], [7, 1]], 1/5707608883200], [[[1, 20], [2, 5]], 25897037/1052026469351424000], [[[1, 21], [2, 4]], 2061709/1052026469351424000], [[[1, 21], [3, 2]], 277/2739652263936000], [[[1, 21], [4, 2]], 101/175337744891904000], [[[1, 21], [5, 1]], 17/1369826131968000], [[[1, 22], [2, 3]], 211/2054739197952000], [[[1, 23], [2, 2]], 7/2087354105856000], [[[1, 23], [3, 1]], 1/2630066173378560], [[[1, 24], [2, 1]], 43/701350979567616000], [[[2, 5], [4, 10]], 109/144955146240], [[[2, 9], [4, 8]], 1669/8697308774400], [[[2, 11], [6, 7]], 1/8957952], [[[2, 13], [4, 6]], 5531/365286968524800], [[[2, 13], [6, 6]], 89/1433272320], [[[2, 13], [10, 3]], 1/18432000], [[[2, 15], [6, 5]], 113/10701766656], [[[2, 17], [4, 4]], 731/4383443622297600], [[[2, 17], [6, 4]], 14029/25684239974400], [[[2, 17], [8, 2]], 1/26091926323200], [[[2, 17], [10, 2]], 59/1189085184000], [[[2, 19], [6, 3]], 293/25684239974400], [[[2, 19], [14, 1]], 1/5707608883200], [[[2, 21], [4, 2]], 101/175337744891904000], [[[2, 21], [6, 2]], 277/2739652263936000], [[[2, 21], [10, 1]], 17/1369826131968000], [[[2, 23], [6, 1]], 1/2630066173378560], [[[1, 1], [2, 4], [4, 10]], 109/28991029248], [[[1, 1], [2, 6], [4, 9]], 1417/43486543872], [[[1, 1], [2, 8], [4, 8]], 9959/2899102924800], [[[1, 1], [2, 10], [4, 7]], 20029/4566087106560], [[[1, 1], [2, 10], [6, 7]], 1/2985984], [[[1, 1], [2, 12], [4, 6]], 174431/365286968524800], [[[1, 1], [2, 12], [6, 6]], 293/477757440], [[[1, 1], [2, 12], [8, 3]], 1/9059696640], [[[1, 1], [2, 12], [10, 3]], 19/18432000], [[[1, 1], [2, 14], [4, 5]], 4387/20293720473600], [[[1, 1], [2, 14], [6, 5]], 691/3567255552], [[[1, 1], [2, 16], [4, 4]], 43427/4383443622297600], [[[1, 1], [2, 16], [6, 4]], 153163/8561413324800], [[[1, 1], [2, 16], [8, 2]], 73/26091926323200], [[[1, 1], [2, 16], [10, 2]], 2951/1189085184000], [[[1, 1], [2, 18], [4, 3]], 8443/5479304527872000], [[[1, 1], [2, 18], [6, 3]], 991/1712282664960], [[[1, 1], [2, 18], [14, 1]], 73/5707608883200], [[[1, 1], [2, 20], [4, 2]], 9097/175337744891904000], [[[1, 1], [2, 20], [6, 2]], 6749/913217421312000], [[[1, 1], [2, 20], [8, 1]], 17/2191721811148800], [[[1, 1], [2, 20], [10, 1]], 1403/1369826131968000], [[[1, 1], [2, 22], [4, 1]], 227/87668872445952000], [[[1, 1], [2, 22], [6, 1]], 823/21917218111488000], [[[1, 1], [4, 4], [8, 4]], 5/1048576], [[[1, 1], [4, 8], [8, 2]], 31/754974720], [[[1, 1], [8, 2], [16, 2]], 1/2048], [[[1, 2], [2, 3], [4, 10]], 109/14495514624], [[[1, 2], [2, 5], [4, 9]], 4033/24159191040], [[[1, 2], [2, 7], [4, 8]], 513859/1087163596800], [[[1, 2], [2, 7], [8, 4]], 5/12582912], [[[1, 2], [2, 9], [4, 7]], 1867217/22830435532800], [[[1, 2], [2, 9], [6, 7]], 1/2985984], [[[1, 2], [2, 11], [4, 6]], 7488409/182643484262400], [[[1, 2], [2, 11], [6, 6]], 19/10616832], [[[1, 2], [2, 11], [8, 3]], 43/9059696640], [[[1, 2], [2, 11], [10, 3]], 37/6144000], [[[1, 2], [2, 13], [4, 5]], 17189/2435246456832], [[[1, 2], [2, 13], [6, 5]], 809/637009920], [[[1, 2], [2, 15], [4, 4]], 30503/24352464568320], [[[1, 2], [2, 15], [6, 4]], 183919/856141332480], [[[1, 2], [2, 15], [8, 2]], 19/190253629440], [[[1, 2], [2, 15], [10, 2]], 8989/198180864000], [[[1, 2], [2, 17], [4, 3]], 509203/5479304527872000], [[[1, 2], [2, 17], [6, 3]], 16259/1426902220800], [[[1, 2], [2, 17], [7, 1]], 1/5707608883200], [[[1, 2], [2, 17], [14, 1]], 1/2717908992], [[[1, 2], [2, 19], [3, 2]], 1/109586090557440], [[[1, 2], [2, 19], [4, 2]], 79/14431090114560], [[[1, 2], [2, 19], [5, 1]], 1/30440580710400], [[[1, 2], [2, 19], [6, 2]], 39709/182643484262400], [[[1, 2], [2, 19], [8, 1]], 1403/2191721811148800], [[[1, 2], [2, 19], [10, 1]], 15749/456608710656000], [[[1, 2], [2, 21], [3, 1]], 101/65751654334464000], [[[1, 2], [2, 21], [4, 1]], 20663/87668872445952000], [[[1, 2], [2, 21], [6, 1]], 16889/10958609055744000], [[[1, 3], [2, 2], [4, 10]], 109/14495514624], [[[1, 3], [2, 4], [4, 9]], 36733/108716359680], [[[1, 3], [2, 6], [4, 8]], 99479/40265318400], [[[1, 3], [2, 6], [8, 4]], 65/12582912], [[[1, 3], [2, 8], [4, 7]], 8684587/2853804441600], [[[1, 3], [2, 8], [6, 7]], 1/8957952], [[[1, 3], [2, 10], [4, 6]], 129174481/182643484262400], [[[1, 3], [2, 10], [6, 6]], 655/286654464], [[[1, 3], [2, 10], [8, 3]], 2291/21139292160], [[[1, 3], [2, 10], [10, 3]], 83/6144000], [[[1, 3], [2, 12], [4, 5]], 19033309/91321742131200], [[[1, 3], [2, 12], [6, 5]], 7219/1911029760], [[[1, 3], [2, 14], [4, 4]], 4529867/121762322841600], [[[1, 3], [2, 14], [6, 4]], 3224869/2568423997440], [[[1, 3], [2, 14], [8, 2]], 1639/761014517760], [[[1, 3], [2, 14], [10, 2]], 79381/198180864000], [[[1, 3], [2, 16], [4, 3]], 207971/54793045278720], [[[1, 3], [2, 16], [6, 3]], 1464847/12842119987200], [[[1, 3], [2, 16], [7, 1]], 73/5707608883200], [[[1, 3], [2, 16], [14, 1]], 103/19025362944], [[[1, 3], [2, 18], [3, 2]], 383/547930452787200], [[[1, 3], [2, 18], [4, 2]], 22419557/87668872445952000], [[[1, 3], [2, 18], [5, 1]], 383/152202903552000], [[[1, 3], [2, 18], [6, 2]], 1854029/547930452787200], [[[1, 3], [2, 18], [8, 1]], 47219/2191721811148800], [[[1, 3], [2, 18], [10, 1]], 283751/456608710656000], [[[1, 3], [2, 20], [3, 1]], 9097/65751654334464000], [[[1, 3], [2, 20], [4, 1]], 1165573/131503308668928000], [[[1, 3], [2, 20], [6, 1]], 1136519/32875827167232000], [[[1, 3], [4, 5], [8, 3]], 25/12582912], [[[1, 3], [4, 7], [16, 1]], 1/11796480], [[[1, 3], [4, 9], [8, 1]], 109/9059696640], [[[1, 4], [2, 1], [4, 10]], 109/28991029248], [[[1, 4], [2, 3], [4, 9]], 36733/108716359680], [[[1, 4], [2, 5], [4, 8]], 4414183/869730877440], [[[1, 4], [2, 5], [8, 4]], 25/2097152], [[[1, 4], [2, 7], [4, 7]], 45123781/2853804441600], [[[1, 4], [2, 9], [4, 6]], 3736340089/365286968524800], [[[1, 4], [2, 9], [6, 6]], 395/286654464], [[[1, 4], [2, 9], [8, 3]], 25433/21139292160], [[[1, 4], [2, 9], [10, 3]], 283/18432000], [[[1, 4], [2, 11], [4, 5]], 262685413/91321742131200], [[[1, 4], [2, 11], [6, 5]], 2489/424673280], [[[1, 4], [2, 13], [3, 4]], 19/1712282664960], [[[1, 4], [2, 13], [4, 4]], 672620537/1095860905574400], [[[1, 4], [2, 13], [5, 2]], 19/132120576000], [[[1, 4], [2, 13], [6, 4]], 6797177/1712282664960], [[[1, 4], [2, 13], [8, 2]], 1259659/45660871065600], [[[1, 4], [2, 13], [10, 2]], 2243777/1189085184000], [[[1, 4], [2, 15], [3, 3]], 13/1284211998720], [[[1, 4], [2, 15], [4, 3]], 3220129/39137889484800], [[[1, 4], [2, 15], [6, 3]], 16608751/25684239974400], [[[1, 4], [2, 15], [7, 1]], 1/2717908992], [[[1, 4], [2, 15], [14, 1]], 64207/1426902220800], [[[1, 4], [2, 17], [3, 2]], 5327/234827336908800], [[[1, 4], [2, 17], [4, 2]], 198648673/35067548978380800], [[[1, 4], [2, 17], [5, 1]], 106019/1369826131968000], [[[1, 4], [2, 17], [6, 2]], 1413427/45660871065600], [[[1, 4], [2, 17], [8, 1]], 849209/2191721811148800], [[[1, 4], [2, 17], [10, 1]], 2277029/342456532992000], [[[1, 4], [2, 19], [3, 1]], 56269/10958609055744000], [[[1, 4], [2, 19], [4, 1]], 23778901/131503308668928000], [[[1, 4], [2, 19], [6, 1]], 1474337/3131031158784000], [[[1, 5], [2, 2], [4, 9]], 4033/24159191040], [[[1, 5], [2, 4], [4, 8]], 4414183/869730877440], [[[1, 5], [2, 4], [8, 4]], 25/2097152], [[[1, 5], [2, 6], [4, 7]], 3577543/108716359680], [[[1, 5], [2, 8], [4, 6]], 17967506957/365286968524800], [[[1, 5], [2, 8], [6, 6]], 109/286654464], [[[1, 5], [2, 8], [8, 3]], 26657/4529848320], [[[1, 5], [2, 8], [10, 3]], 169/18432000], [[[1, 5], [2, 10], [4, 5]], 4139979281/182643484262400], [[[1, 5], [2, 10], [6, 5]], 19417/3822059520], [[[1, 5], [2, 12], [3, 4]], 863/1712282664960], [[[1, 5], [2, 12], [4, 4]], 1296432673/219172181114880], [[[1, 5], [2, 12], [5, 2]], 863/132120576000], [[[1, 5], [2, 12], [6, 4]], 12523061/1712282664960], [[[1, 5], [2, 12], [8, 2]], 9436783/45660871065600], [[[1, 5], [2, 12], [10, 2]], 6013661/1189085184000], [[[1, 5], [2, 14], [3, 3]], 3203/6421059993600], [[[1, 5], [2, 14], [4, 3]], 1261179877/1369826131968000], [[[1, 5], [2, 14], [6, 3]], 56584187/25684239974400], [[[1, 5], [2, 14], [7, 1]], 103/19025362944], [[[1, 5], [2, 14], [14, 1]], 317659/1426902220800], [[[1, 5], [2, 16], [3, 2]], 27491/65751654334464], [[[1, 5], [2, 16], [4, 2]], 2383382077/35067548978380800], [[[1, 5], [2, 16], [5, 1]], 1714409/1369826131968000], [[[1, 5], [2, 16], [6, 2]], 24118819/136982613196800], [[[1, 5], [2, 16], [8, 1]], 2262329/547930452787200], [[[1, 5], [2, 16], [10, 1]], 15244847/342456532992000], [[[1, 5], [2, 18], [3, 1]], 483677/4696546738176000], [[[1, 5], [2, 18], [4, 1]], 194833531/87668872445952000], [[[1, 5], [2, 18], [6, 1]], 12874589/3131031158784000], [[[1, 5], [3, 2], [4, 8]], 47/6794772480], [[[1, 5], [3, 4], [4, 6]], 1/254803968], [[[1, 5], [4, 2], [8, 4]], 5/12582912], [[[1, 5], [4, 4], [12, 3]], 1/110592], [[[1, 5], [4, 6], [5, 2]], 1/19660800], [[[1, 5], [4, 6], [8, 2]], 257/1132462080], [[[1, 5], [4, 6], [12, 2]], 1/393216], [[[1, 5], [4, 6], [20, 1]], 1/983040], [[[1, 5], [4, 8], [5, 1]], 47/1887436800], [[[1, 5], [4, 8], [12, 1]], 47/377487360], [[[1, 5], [8, 3], [16, 1]], 1/393216], [[[1, 6], [2, 1], [4, 9]], 1417/43486543872], [[[1, 6], [2, 3], [4, 8]], 99479/40265318400], [[[1, 6], [2, 3], [8, 4]], 65/12582912], [[[1, 6], [2, 5], [4, 7]], 3577543/108716359680], [[[1, 6], [2, 7], [3, 6]], 1/286654464], [[[1, 6], [2, 7], [4, 6]], 148298773/1449551462400], [[[1, 6], [2, 7], [5, 3]], 1/6144000], [[[1, 6], [2, 7], [6, 6]], 5/95551488], [[[1, 6], [2, 7], [8, 3]], 53867/4529848320], [[[1, 6], [2, 7], [10, 3]], 1/409600], [[[1, 6], [2, 9], [3, 5]], 967/160526499840], [[[1, 6], [2, 9], [4, 5]], 16322915933/182643484262400], [[[1, 6], [2, 9], [6, 5]], 539/212336640], [[[1, 6], [2, 11], [3, 4]], 27997/2568423997440], [[[1, 6], [2, 11], [4, 4]], 4831194427/156551557939200], [[[1, 6], [2, 11], [5, 2]], 61351/594542592000], [[[1, 6], [2, 11], [6, 4]], 281599/33973862400], [[[1, 6], [2, 11], [8, 2]], 10415189/11415217766400], [[[1, 6], [2, 11], [10, 2]], 71383/8493465600], [[[1, 6], [2, 13], [3, 3]], 8839/951268147200], [[[1, 6], [2, 13], [4, 3]], 1100067631/195689447424000], [[[1, 6], [2, 13], [6, 3]], 2531863/535088332800], [[[1, 6], [2, 13], [7, 1]], 64207/1426902220800], [[[1, 6], [2, 13], [14, 1]], 980003/1426902220800], [[[1, 6], [2, 15], [3, 2]], 672893/136982613196800], [[[1, 6], [2, 15], [4, 2]], 10481507627/21917218111488000], [[[1, 6], [2, 15], [5, 1]], 401/33822867456], [[[1, 6], [2, 15], [6, 2]], 16411573/25367150592000], [[[1, 6], [2, 15], [8, 1]], 15028547/547930452787200], [[[1, 6], [2, 15], [10, 1]], 13211519/68491306598400], [[[1, 6], [2, 17], [3, 1]], 81386849/65751654334464000], [[[1, 6], [2, 17], [4, 1]], 1523624791/87668872445952000], [[[1, 6], [2, 17], [6, 1]], 2416721/101468602368000], [[[1, 7], [2, 2], [4, 8]], 513859/1087163596800], [[[1, 7], [2, 2], [8, 4]], 5/12582912], [[[1, 7], [2, 4], [4, 7]], 45123781/2853804441600], [[[1, 7], [2, 6], [3, 6]], 5/95551488], [[[1, 7], [2, 6], [4, 6]], 148298773/1449551462400], [[[1, 7], [2, 6], [5, 3]], 1/409600], [[[1, 7], [2, 6], [6, 6]], 1/286654464], [[[1, 7], [2, 6], [8, 3]], 53867/4529848320], [[[1, 7], [2, 6], [10, 3]], 1/6144000], [[[1, 7], [2, 8], [3, 5]], 3587/32105299968], [[[1, 7], [2, 8], [4, 5]], 42699563/241591910400], [[[1, 7], [2, 8], [6, 5]], 1403/1911029760], [[[1, 7], [2, 10], [3, 4]], 320533/2568423997440], [[[1, 7], [2, 10], [4, 4]], 20360741729/219172181114880], [[[1, 7], [2, 10], [5, 2]], 17863/23781703680], [[[1, 7], [2, 10], [6, 4]], 1821031/305764761600], [[[1, 7], [2, 10], [8, 2]], 13907011/5707608883200], [[[1, 7], [2, 10], [10, 2]], 384707/42467328000], [[[1, 7], [2, 10], [16, 1]], 1/35389440], [[[1, 7], [2, 12], [3, 3]], 761107/8561413324800], [[[1, 7], [2, 12], [4, 3]], 28216992509/1369826131968000], [[[1, 7], [2, 12], [6, 3]], 21419371/3210529996800], [[[1, 7], [2, 12], [7, 1]], 317659/1426902220800], [[[1, 7], [2, 12], [14, 1]], 2006819/1426902220800], [[[1, 7], [2, 14], [3, 2]], 210143/5479304527872], [[[1, 7], [2, 14], [4, 2]], 46006934003/21917218111488000], [[[1, 7], [2, 14], [5, 1]], 886037/12683575296000], [[[1, 7], [2, 14], [6, 2]], 1088502701/684913065984000], [[[1, 7], [2, 14], [8, 1]], 21447581/182643484262400], [[[1, 7], [2, 14], [10, 1]], 38289269/68491306598400], [[[1, 7], [2, 16], [3, 1]], 618031877/65751654334464000], [[[1, 7], [2, 16], [4, 1]], 2951048083/32875827167232000], [[[1, 7], [2, 16], [6, 1]], 257485783/2739652263936000], [[[1, 7], [3, 1], [4, 8]], 409/54358179840], [[[1, 7], [3, 3], [4, 6]], 11/254803968], [[[1, 7], [3, 5], [4, 4]], 7/95551488], [[[1, 7], [3, 5], [8, 2]], 1/1990656], [[[1, 7], [4, 3], [8, 3]], 11/75497472], [[[1, 7], [4, 6], [7, 1]], 1/14680064], [[[1, 7], [4, 7], [8, 1]], 737/67947724800], [[[1, 8], [2, 1], [4, 8]], 9959/2899102924800], [[[1, 8], [2, 3], [3, 7]], 1/8957952], [[[1, 8], [2, 3], [4, 7]], 8684587/2853804441600], [[[1, 8], [2, 5], [3, 6]], 109/286654464], [[[1, 8], [2, 5], [4, 6]], 17967506957/365286968524800], [[[1, 8], [2, 5], [5, 3]], 169/18432000], [[[1, 8], [2, 5], [8, 3]], 26657/4529848320], [[[1, 8], [2, 7], [3, 5]], 1403/1911029760], [[[1, 8], [2, 7], [4, 5]], 42699563/241591910400], [[[1, 8], [2, 7], [6, 5]], 3587/32105299968], [[[1, 8], [2, 9], [3, 4]], 3924059/5136847994880], [[[1, 8], [2, 9], [4, 4]], 13284221663/81174881894400], [[[1, 8], [2, 9], [5, 2]], 376777/132120576000], [[[1, 8], [2, 9], [6, 4]], 2792995/1027369598976], [[[1, 8], [2, 9], [8, 2]], 699821/173946175488], [[[1, 8], [2, 9], [10, 2]], 842917/132120576000], [[[1, 8], [2, 9], [16, 1]], 7/35389440], [[[1, 8], [2, 11], [3, 3]], 6412531/12842119987200], [[[1, 8], [2, 11], [4, 3]], 67564983509/1369826131968000], [[[1, 8], [2, 11], [6, 3]], 162954259/25684239974400], [[[1, 8], [2, 11], [7, 1]], 1003043/1426902220800], [[[1, 8], [2, 11], [14, 1]], 382217/190253629440], [[[1, 8], [2, 13], [3, 2]], 136915603/684913065984000], [[[1, 8], [2, 13], [4, 2]], 19912700863/3246995275776000], [[[1, 8], [2, 13], [5, 1]], 92022443/342456532992000], [[[1, 8], [2, 13], [6, 2]], 2215943773/821895679180800], [[[1, 8], [2, 13], [8, 1]], 350825/1043677052928], [[[1, 8], [2, 13], [10, 1]], 36781579/32614907904000], [[[1, 8], [2, 15], [3, 1]], 8540297/182643484262400], [[[1, 8], [2, 15], [4, 1]], 10427899723/32875827167232000], [[[1, 8], [2, 15], [6, 1]], 1705994813/6575165433446400], [[[1, 9], [2, 2], [3, 7]], 1/2985984], [[[1, 9], [2, 2], [4, 7]], 1867217/22830435532800], [[[1, 9], [2, 4], [3, 6]], 395/286654464], [[[1, 9], [2, 4], [4, 6]], 3736340089/365286968524800], [[[1, 9], [2, 4], [5, 3]], 283/18432000], [[[1, 9], [2, 4], [8, 3]], 25433/21139292160], [[[1, 9], [2, 6], [3, 5]], 539/212336640], [[[1, 9], [2, 6], [4, 5]], 16322915933/182643484262400], [[[1, 9], [2, 6], [6, 5]], 967/160526499840], [[[1, 9], [2, 8], [3, 4]], 2792995/1027369598976], [[[1, 9], [2, 8], [4, 4]], 13284221663/81174881894400], [[[1, 9], [2, 8], [5, 2]], 842917/132120576000], [[[1, 9], [2, 8], [6, 4]], 3924059/5136847994880], [[[1, 9], [2, 8], [8, 2]], 699821/173946175488], [[[1, 9], [2, 8], [10, 2]], 376777/132120576000], [[[1, 9], [2, 8], [16, 1]], 7/35389440], [[[1, 9], [2, 10], [3, 3]], 22617703/12842119987200], [[[1, 9], [2, 10], [4, 3]], 43206266041/547930452787200], [[[1, 9], [2, 10], [6, 3]], 104969239/25684239974400], [[[1, 9], [2, 10], [7, 1]], 2168099/1426902220800], [[[1, 9], [2, 10], [14, 1]], 400649/190253629440], [[[1, 9], [2, 12], [3, 2]], 159529571/228304355328000], [[[1, 9], [2, 12], [4, 2]], 123156316753/9740985827328000], [[[1, 9], [2, 12], [5, 1]], 48587221/68491306598400], [[[1, 9], [2, 12], [6, 2]], 2663671279/821895679180800], [[[1, 9], [2, 12], [8, 1]], 105048329/156551557939200], [[[1, 9], [2, 12], [10, 1]], 53556169/32614907904000], [[[1, 9], [2, 14], [3, 1]], 144321929/913217421312000], [[[1, 9], [2, 14], [4, 1]], 15003234239/18786186952704000], [[[1, 9], [2, 14], [6, 1]], 16950022141/32875827167232000], [[[1, 9], [3, 2], [4, 6]], 193/6794772480], [[[1, 9], [3, 2], [5, 3]], 1/72000], [[[1, 9], [3, 4], [4, 4]], 479/3057647616], [[[1, 9], [3, 4], [5, 2]], 1/129600], [[[1, 9], [3, 4], [8, 2]], 17/63700992], [[[1, 9], [3, 5], [7, 1]], 1/435456], [[[1, 9], [3, 6], [4, 2]], 5/23887872], [[[1, 9], [3, 6], [5, 1]], 1/933120], [[[1, 9], [4, 2], [5, 3]], 1/1536000], [[[1, 9], [4, 4], [5, 2]], 31/235929600], [[[1, 9], [4, 4], [8, 2]], 599/42278584320], [[[1, 9], [4, 4], [12, 2]], 1/212336640], [[[1, 9], [4, 4], [20, 1]], 1/58982400], [[[1, 9], [4, 6], [5, 1]], 49/5662310400], [[[1, 9], [4, 6], [12, 1]], 67/13589544960], [[[1, 9], [5, 2], [8, 2]], 1/4915200], [[[1, 10], [2, 1], [3, 7]], 1/2985984], [[[1, 10], [2, 1], [4, 7]], 20029/4566087106560], [[[1, 10], [2, 3], [3, 6]], 655/286654464], [[[1, 10], [2, 3], [4, 6]], 129174481/182643484262400], [[[1, 10], [2, 3], [5, 3]], 83/6144000], [[[1, 10], [2, 3], [8, 3]], 2291/21139292160], [[[1, 10], [2, 5], [3, 5]], 19417/3822059520], [[[1, 10], [2, 5], [4, 5]], 4139979281/182643484262400], [[[1, 10], [2, 7], [3, 4]], 1821031/305764761600], [[[1, 10], [2, 7], [4, 4]], 20360741729/219172181114880], [[[1, 10], [2, 7], [5, 2]], 384707/42467328000], [[[1, 10], [2, 7], [6, 4]], 320533/2568423997440], [[[1, 10], [2, 7], [8, 2]], 13907011/5707608883200], [[[1, 10], [2, 7], [10, 2]], 17863/23781703680], [[[1, 10], [2, 7], [16, 1]], 1/35389440], [[[1, 10], [2, 9], [3, 3]], 104969239/25684239974400], [[[1, 10], [2, 9], [4, 3]], 43206266041/547930452787200], [[[1, 10], [2, 9], [6, 3]], 22617703/12842119987200], [[[1, 10], [2, 9], [7, 1]], 400649/190253629440], [[[1, 10], [2, 9], [14, 1]], 2168099/1426902220800], [[[1, 10], [2, 11], [3, 2]], 65249821/39137889484800], [[[1, 10], [2, 11], [4, 2]], 32726977231/1753377448919040], [[[1, 10], [2, 11], [5, 1]], 129769253/97844723712000], [[[1, 10], [2, 11], [6, 2]], 758834737/273965226393600], [[[1, 10], [2, 11], [8, 1]], 148189763/156551557939200], [[[1, 10], [2, 11], [10, 1]], 6830903/3913788948480], [[[1, 10], [2, 13], [3, 1]], 153286381/405874409472000], [[[1, 10], [2, 13], [4, 1]], 39116948257/26300661733785600], [[[1, 10], [2, 13], [6, 1]], 12427911521/16437913583616000], [[[1, 11], [2, 2], [3, 6]], 19/10616832], [[[1, 11], [2, 2], [4, 6]], 7488409/182643484262400], [[[1, 11], [2, 2], [5, 3]], 37/6144000], [[[1, 11], [2, 2], [8, 3]], 43/9059696640], [[[1, 11], [2, 4], [3, 5]], 2489/424673280], [[[1, 11], [2, 4], [4, 5]], 262685413/91321742131200], [[[1, 11], [2, 6], [3, 4]], 281599/33973862400], [[[1, 11], [2, 6], [4, 4]], 4831194427/156551557939200], [[[1, 11], [2, 6], [5, 2]], 71383/8493465600], [[[1, 11], [2, 6], [6, 4]], 27997/2568423997440], [[[1, 11], [2, 6], [8, 2]], 10415189/11415217766400], [[[1, 11], [2, 6], [10, 2]], 61351/594542592000], [[[1, 11], [2, 8], [3, 3]], 162954259/25684239974400], [[[1, 11], [2, 8], [4, 3]], 67564983509/1369826131968000], [[[1, 11], [2, 8], [6, 3]], 6412531/12842119987200], [[[1, 11], [2, 8], [7, 1]], 382217/190253629440], [[[1, 11], [2, 8], [14, 1]], 1003043/1426902220800], [[[1, 11], [2, 10], [3, 2]], 758834737/273965226393600], [[[1, 11], [2, 10], [4, 2]], 32726977231/1753377448919040], [[[1, 11], [2, 10], [5, 1]], 6830903/3913788948480], [[[1, 11], [2, 10], [6, 2]], 65249821/39137889484800], [[[1, 11], [2, 10], [8, 1]], 148189763/156551557939200], [[[1, 11], [2, 10], [10, 1]], 129769253/97844723712000], [[[1, 11], [2, 12], [3, 1]], 7156707211/10958609055744000], [[[1, 11], [2, 12], [4, 1]], 45235241693/21917218111488000], [[[1, 11], [2, 12], [6, 1]], 13495989077/16437913583616000], [[[1, 11], [3, 1], [4, 6]], 53/40768634880], [[[1, 11], [3, 1], [5, 3]], 1/460800], [[[1, 11], [3, 3], [4, 4]], 155/3057647616], [[[1, 11], [3, 3], [5, 2]], 19/4147200], [[[1, 11], [3, 3], [8, 2]], 13/318504960], [[[1, 11], [3, 4], [7, 1]], 17/13934592], [[[1, 11], [3, 5], [4, 2]], 19/106168320], [[[1, 11], [3, 5], [5, 1]], 1/663552], [[[1, 11], [4, 1], [8, 3]], 1/9059696640], [[[1, 11], [4, 4], [7, 1]], 17/2642411520], [[[1, 11], [4, 5], [8, 1]], 283/304405807104], [[[1, 11], [5, 2], [7, 1]], 1/1075200], [[[1, 12], [2, 1], [3, 6]], 293/477757440], [[[1, 12], [2, 1], [4, 6]], 174431/365286968524800], [[[1, 12], [2, 1], [5, 3]], 19/18432000], [[[1, 12], [2, 1], [8, 3]], 1/9059696640], [[[1, 12], [2, 3], [3, 5]], 7219/1911029760], [[[1, 12], [2, 3], [4, 5]], 19033309/91321742131200], [[[1, 12], [2, 5], [3, 4]], 12523061/1712282664960], [[[1, 12], [2, 5], [4, 4]], 1296432673/219172181114880], [[[1, 12], [2, 5], [5, 2]], 6013661/1189085184000], [[[1, 12], [2, 5], [6, 4]], 863/1712282664960], [[[1, 12], [2, 5], [8, 2]], 9436783/45660871065600], [[[1, 12], [2, 5], [10, 2]], 863/132120576000], [[[1, 12], [2, 7], [3, 3]], 21419371/3210529996800], [[[1, 12], [2, 7], [4, 3]], 28216992509/1369826131968000], [[[1, 12], [2, 7], [6, 3]], 761107/8561413324800], [[[1, 12], [2, 7], [7, 1]], 2006819/1426902220800], [[[1, 12], [2, 7], [14, 1]], 317659/1426902220800], [[[1, 12], [2, 9], [3, 2]], 2663671279/821895679180800], [[[1, 12], [2, 9], [4, 2]], 123156316753/9740985827328000], [[[1, 12], [2, 9], [5, 1]], 53556169/32614907904000], [[[1, 12], [2, 9], [6, 2]], 159529571/228304355328000], [[[1, 12], [2, 9], [8, 1]], 105048329/156551557939200], [[[1, 12], [2, 9], [10, 1]], 48587221/68491306598400], [[[1, 12], [2, 11], [3, 1]], 13495989077/16437913583616000], [[[1, 12], [2, 11], [4, 1]], 45235241693/21917218111488000], [[[1, 12], [2, 11], [6, 1]], 7156707211/10958609055744000], [[[1, 13], [2, 2], [3, 5]], 809/637009920], [[[1, 13], [2, 2], [4, 5]], 17189/2435246456832], [[[1, 13], [2, 4], [3, 4]], 6797177/1712282664960], [[[1, 13], [2, 4], [4, 4]], 672620537/1095860905574400], [[[1, 13], [2, 4], [5, 2]], 2243777/1189085184000], [[[1, 13], [2, 4], [6, 4]], 19/1712282664960], [[[1, 13], [2, 4], [8, 2]], 1259659/45660871065600], [[[1, 13], [2, 4], [10, 2]], 19/132120576000], [[[1, 13], [2, 6], [3, 3]], 2531863/535088332800], [[[1, 13], [2, 6], [4, 3]], 1100067631/195689447424000], [[[1, 13], [2, 6], [6, 3]], 8839/951268147200], [[[1, 13], [2, 6], [7, 1]], 980003/1426902220800], [[[1, 13], [2, 6], [14, 1]], 64207/1426902220800], [[[1, 13], [2, 8], [3, 2]], 2215943773/821895679180800], [[[1, 13], [2, 8], [4, 2]], 19912700863/3246995275776000], [[[1, 13], [2, 8], [5, 1]], 36781579/32614907904000], [[[1, 13], [2, 8], [6, 2]], 136915603/684913065984000], [[[1, 13], [2, 8], [8, 1]], 350825/1043677052928], [[[1, 13], [2, 8], [10, 1]], 92022443/342456532992000], [[[1, 13], [2, 10], [3, 1]], 12427911521/16437913583616000], [[[1, 13], [2, 10], [4, 1]], 39116948257/26300661733785600], [[[1, 13], [2, 10], [6, 1]], 153286381/405874409472000], [[[1, 13], [3, 2], [4, 4]], 1781/684913065984], [[[1, 13], [3, 2], [5, 2]], 47/110592000], [[[1, 13], [3, 2], [8, 2]], 29/20384317440], [[[1, 13], [3, 3], [7, 1]], 13/69672960], [[[1, 13], [3, 4], [4, 2]], 5549/142690222080], [[[1, 13], [3, 4], [5, 1]], 161/398131200], [[[1, 13], [4, 2], [5, 2]], 1109/99090432000], [[[1, 13], [4, 2], [8, 2]], 67/951268147200], [[[1, 13], [4, 4], [5, 1]], 701/951268147200], [[[1, 13], [4, 4], [12, 1]], 31/815372697600], [[[1, 13], [5, 1], [8, 2]], 1/5662310400], [[[1, 14], [2, 1], [3, 5]], 691/3567255552], [[[1, 14], [2, 1], [4, 5]], 4387/20293720473600], [[[1, 14], [2, 3], [3, 4]], 3224869/2568423997440], [[[1, 14], [2, 3], [4, 4]], 4529867/121762322841600], [[[1, 14], [2, 3], [5, 2]], 79381/198180864000], [[[1, 14], [2, 3], [8, 2]], 1639/761014517760], [[[1, 14], [2, 5], [3, 3]], 56584187/25684239974400], [[[1, 14], [2, 5], [4, 3]], 1261179877/1369826131968000], [[[1, 14], [2, 5], [6, 3]], 3203/6421059993600], [[[1, 14], [2, 5], [7, 1]], 317659/1426902220800], [[[1, 14], [2, 5], [14, 1]], 103/19025362944], [[[1, 14], [2, 7], [3, 2]], 1088502701/684913065984000], [[[1, 14], [2, 7], [4, 2]], 46006934003/21917218111488000], [[[1, 14], [2, 7], [5, 1]], 38289269/68491306598400], [[[1, 14], [2, 7], [6, 2]], 210143/5479304527872], [[[1, 14], [2, 7], [8, 1]], 21447581/182643484262400], [[[1, 14], [2, 7], [10, 1]], 886037/12683575296000], [[[1, 14], [2, 9], [3, 1]], 16950022141/32875827167232000], [[[1, 14], [2, 9], [4, 1]], 15003234239/18786186952704000], [[[1, 14], [2, 9], [6, 1]], 144321929/913217421312000], [[[1, 15], [2, 2], [3, 4]], 183919/856141332480], [[[1, 15], [2, 2], [4, 4]], 30503/24352464568320], [[[1, 15], [2, 2], [5, 2]], 8989/198180864000], [[[1, 15], [2, 2], [8, 2]], 19/190253629440], [[[1, 15], [2, 4], [3, 3]], 16608751/25684239974400], [[[1, 15], [2, 4], [4, 3]], 3220129/39137889484800], [[[1, 15], [2, 4], [6, 3]], 13/1284211998720], [[[1, 15], [2, 4], [7, 1]], 64207/1426902220800], [[[1, 15], [2, 4], [14, 1]], 1/2717908992], [[[1, 15], [2, 6], [3, 2]], 16411573/25367150592000], [[[1, 15], [2, 6], [4, 2]], 10481507627/21917218111488000], [[[1, 15], [2, 6], [5, 1]], 13211519/68491306598400], [[[1, 15], [2, 6], [6, 2]], 672893/136982613196800], [[[1, 15], [2, 6], [8, 1]], 15028547/547930452787200], [[[1, 15], [2, 6], [10, 1]], 401/33822867456], [[[1, 15], [2, 8], [3, 1]], 1705994813/6575165433446400], [[[1, 15], [2, 8], [4, 1]], 10427899723/32875827167232000], [[[1, 15], [2, 8], [6, 1]], 8540297/182643484262400], [[[1, 15], [3, 1], [4, 4]], 5863/136982613196800], [[[1, 15], [3, 1], [5, 2]], 79/7431782400], [[[1, 15], [3, 1], [8, 2]], 11/815372697600], [[[1, 15], [3, 2], [7, 1]], 29/4459069440], [[[1, 15], [3, 3], [4, 2]], 4357/2140353331200], [[[1, 15], [3, 3], [5, 1]], 227/8360755200], [[[1, 15], [4, 2], [7, 1]], 31/475634073600], [[[1, 15], [4, 3], [8, 1]], 13/1522029035520], [[[1, 15], [5, 1], [7, 1]], 1/1238630400], [[[1, 16], [2, 1], [3, 4]], 153163/8561413324800], [[[1, 16], [2, 1], [4, 4]], 43427/4383443622297600], [[[1, 16], [2, 1], [5, 2]], 2951/1189085184000], [[[1, 16], [2, 1], [8, 2]], 73/26091926323200], [[[1, 16], [2, 3], [3, 3]], 1464847/12842119987200], [[[1, 16], [2, 3], [4, 3]], 207971/54793045278720], [[[1, 16], [2, 3], [7, 1]], 103/19025362944], [[[1, 16], [2, 3], [14, 1]], 73/5707608883200], [[[1, 16], [2, 5], [3, 2]], 24118819/136982613196800], [[[1, 16], [2, 5], [4, 2]], 2383382077/35067548978380800], [[[1, 16], [2, 5], [5, 1]], 15244847/342456532992000], [[[1, 16], [2, 5], [6, 2]], 27491/65751654334464], [[[1, 16], [2, 5], [8, 1]], 2262329/547930452787200], [[[1, 16], [2, 5], [10, 1]], 1714409/1369826131968000], [[[1, 16], [2, 7], [3, 1]], 257485783/2739652263936000], [[[1, 16], [2, 7], [4, 1]], 2951048083/32875827167232000], [[[1, 16], [2, 7], [6, 1]], 618031877/65751654334464000], [[[1, 17], [2, 2], [3, 3]], 16259/1426902220800], [[[1, 17], [2, 2], [4, 3]], 509203/5479304527872000], [[[1, 17], [2, 2], [7, 1]], 1/2717908992], [[[1, 17], [2, 2], [14, 1]], 1/5707608883200], [[[1, 17], [2, 4], [3, 2]], 1413427/45660871065600], [[[1, 17], [2, 4], [4, 2]], 198648673/35067548978380800], [[[1, 17], [2, 4], [5, 1]], 2277029/342456532992000], [[[1, 17], [2, 4], [6, 2]], 5327/234827336908800], [[[1, 17], [2, 4], [8, 1]], 849209/2191721811148800], [[[1, 17], [2, 4], [10, 1]], 106019/1369826131968000], [[[1, 17], [2, 6], [3, 1]], 2416721/101468602368000], [[[1, 17], [2, 6], [4, 1]], 1523624791/87668872445952000], [[[1, 17], [2, 6], [6, 1]], 81386849/65751654334464000], [[[1, 17], [3, 1], [7, 1]], 11/178362777600], [[[1, 17], [3, 2], [4, 2]], 149/3805072588800], [[[1, 17], [3, 2], [5, 1]], 257/396361728000], [[[1, 17], [4, 2], [5, 1]], 173/28538044416000], [[[1, 17], [4, 2], [12, 1]], 1/9784472371200], [[[1, 18], [2, 1], [3, 3]], 991/1712282664960], [[[1, 18], [2, 1], [4, 3]], 8443/5479304527872000], [[[1, 18], [2, 1], [7, 1]], 73/5707608883200], [[[1, 18], [2, 3], [3, 2]], 1854029/547930452787200], [[[1, 18], [2, 3], [4, 2]], 22419557/87668872445952000], [[[1, 18], [2, 3], [5, 1]], 283751/456608710656000], [[[1, 18], [2, 3], [6, 2]], 383/547930452787200], [[[1, 18], [2, 3], [8, 1]], 47219/2191721811148800], [[[1, 18], [2, 3], [10, 1]], 383/152202903552000], [[[1, 18], [2, 5], [3, 1]], 12874589/3131031158784000], [[[1, 18], [2, 5], [4, 1]], 194833531/87668872445952000], [[[1, 18], [2, 5], [6, 1]], 483677/4696546738176000], [[[1, 19], [2, 2], [3, 2]], 39709/182643484262400], [[[1, 19], [2, 2], [4, 2]], 79/14431090114560], [[[1, 19], [2, 2], [5, 1]], 15749/456608710656000], [[[1, 19], [2, 2], [6, 2]], 1/109586090557440], [[[1, 19], [2, 2], [8, 1]], 1403/2191721811148800], [[[1, 19], [2, 2], [10, 1]], 1/30440580710400], [[[1, 19], [2, 4], [3, 1]], 1474337/3131031158784000], [[[1, 19], [2, 4], [4, 1]], 23778901/131503308668928000], [[[1, 19], [2, 4], [6, 1]], 56269/10958609055744000], [[[1, 19], [3, 1], [4, 2]], 61/228304355328000], [[[1, 19], [3, 1], [5, 1]], 29/5707608883200], [[[1, 19], [4, 1], [8, 1]], 1/48704929136640], [[[1, 20], [2, 1], [3, 2]], 6749/913217421312000], [[[1, 20], [2, 1], [4, 2]], 9097/175337744891904000], [[[1, 20], [2, 1], [5, 1]], 1403/1369826131968000], [[[1, 20], [2, 1], [8, 1]], 17/2191721811148800], [[[1, 20], [2, 3], [3, 1]], 1136519/32875827167232000], [[[1, 20], [2, 3], [4, 1]], 1165573/131503308668928000], [[[1, 20], [2, 3], [6, 1]], 9097/65751654334464000], [[[1, 21], [2, 2], [3, 1]], 16889/10958609055744000], [[[1, 21], [2, 2], [4, 1]], 20663/87668872445952000], [[[1, 21], [2, 2], [6, 1]], 101/65751654334464000], [[[1, 22], [2, 1], [3, 1]], 823/21917218111488000], [[[1, 22], [2, 1], [4, 1]], 227/87668872445952000], [[[2, 1], [4, 4], [8, 4]], 5/1048576], [[[2, 1], [4, 8], [8, 2]], 31/754974720], [[[2, 1], [8, 2], [16, 2]], 1/2048], [[[2, 3], [4, 5], [8, 3]], 25/12582912], [[[2, 3], [4, 7], [16, 1]], 1/11796480], [[[2, 3], [4, 9], [8, 1]], 109/9059696640], [[[2, 5], [4, 2], [8, 4]], 5/12582912], [[[2, 5], [4, 4], [12, 3]], 1/110592], [[[2, 5], [4, 6], [6, 4]], 1/254803968], [[[2, 5], [4, 6], [8, 2]], 257/1132462080], [[[2, 5], [4, 6], [10, 2]], 1/19660800], [[[2, 5], [4, 6], [12, 2]], 1/393216], [[[2, 5], [4, 6], [20, 1]], 1/983040], [[[2, 5], [4, 8], [6, 2]], 47/6794772480], [[[2, 5], [4, 8], [10, 1]], 47/1887436800], [[[2, 5], [4, 8], [12, 1]], 47/377487360], [[[2, 5], [8, 3], [16, 1]], 1/393216], [[[2, 7], [4, 3], [8, 3]], 11/75497472], [[[2, 7], [4, 4], [6, 5]], 7/95551488], [[[2, 7], [4, 6], [6, 3]], 11/254803968], [[[2, 7], [4, 6], [14, 1]], 1/14680064], [[[2, 7], [4, 7], [8, 1]], 737/67947724800], [[[2, 7], [4, 8], [6, 1]], 409/54358179840], [[[2, 7], [6, 5], [8, 2]], 1/1990656], [[[2, 9], [4, 2], [6, 6]], 5/23887872], [[[2, 9], [4, 2], [10, 3]], 1/1536000], [[[2, 9], [4, 4], [6, 4]], 479/3057647616], [[[2, 9], [4, 4], [8, 2]], 599/42278584320], [[[2, 9], [4, 4], [10, 2]], 31/235929600], [[[2, 9], [4, 4], [12, 2]], 1/212336640], [[[2, 9], [4, 4], [20, 1]], 1/58982400], [[[2, 9], [4, 6], [6, 2]], 193/6794772480], [[[2, 9], [4, 6], [10, 1]], 49/5662310400], [[[2, 9], [4, 6], [12, 1]], 67/13589544960], [[[2, 9], [6, 2], [10, 3]], 1/72000], [[[2, 9], [6, 4], [8, 2]], 17/63700992], [[[2, 9], [6, 4], [10, 2]], 1/129600], [[[2, 9], [6, 5], [14, 1]], 1/435456], [[[2, 9], [6, 6], [10, 1]], 1/933120], [[[2, 9], [8, 2], [10, 2]], 1/4915200], [[[2, 11], [4, 1], [8, 3]], 1/9059696640], [[[2, 11], [4, 2], [6, 5]], 19/106168320], [[[2, 11], [4, 4], [6, 3]], 155/3057647616], [[[2, 11], [4, 4], [14, 1]], 17/2642411520], [[[2, 11], [4, 5], [8, 1]], 283/304405807104], [[[2, 11], [4, 6], [6, 1]], 53/40768634880], [[[2, 11], [6, 1], [10, 3]], 1/460800], [[[2, 11], [6, 3], [8, 2]], 13/318504960], [[[2, 11], [6, 3], [10, 2]], 19/4147200], [[[2, 11], [6, 4], [14, 1]], 17/13934592], [[[2, 11], [6, 5], [10, 1]], 1/663552], [[[2, 11], [10, 2], [14, 1]], 1/1075200], [[[2, 13], [4, 2], [6, 4]], 5549/142690222080], [[[2, 13], [4, 2], [8, 2]], 67/951268147200], [[[2, 13], [4, 2], [10, 2]], 1109/99090432000], [[[2, 13], [4, 4], [6, 2]], 1781/684913065984], [[[2, 13], [4, 4], [10, 1]], 701/951268147200], [[[2, 13], [4, 4], [12, 1]], 31/815372697600], [[[2, 13], [6, 2], [8, 2]], 29/20384317440], [[[2, 13], [6, 2], [10, 2]], 47/110592000], [[[2, 13], [6, 3], [14, 1]], 13/69672960], [[[2, 13], [6, 4], [10, 1]], 161/398131200], [[[2, 13], [8, 2], [10, 1]], 1/5662310400], [[[2, 15], [4, 2], [6, 3]], 4357/2140353331200], [[[2, 15], [4, 2], [14, 1]], 31/475634073600], [[[2, 15], [4, 3], [8, 1]], 13/1522029035520], [[[2, 15], [4, 4], [6, 1]], 5863/136982613196800], [[[2, 15], [6, 1], [8, 2]], 11/815372697600], [[[2, 15], [6, 1], [10, 2]], 79/7431782400], [[[2, 15], [6, 2], [14, 1]], 29/4459069440], [[[2, 15], [6, 3], [10, 1]], 227/8360755200], [[[2, 15], [10, 1], [14, 1]], 1/1238630400], [[[2, 17], [4, 2], [6, 2]], 149/3805072588800], [[[2, 17], [4, 2], [10, 1]], 173/28538044416000], [[[2, 17], [4, 2], [12, 1]], 1/9784472371200], [[[2, 17], [6, 1], [14, 1]], 11/178362777600], [[[2, 17], [6, 2], [10, 1]], 257/396361728000], [[[2, 19], [4, 1], [8, 1]], 1/48704929136640], [[[2, 19], [4, 2], [6, 1]], 61/228304355328000], [[[2, 19], [6, 1], [10, 1]], 29/5707608883200], [[[1, 1], [2, 2], [4, 3], [8, 4]], 5/131072], [[[1, 1], [2, 2], [4, 5], [8, 3]], 395/12582912], [[[1, 1], [2, 2], [4, 7], [8, 2]], 31/20971520], [[[1, 1], [2, 2], [4, 7], [16, 1]], 1/3932160], [[[1, 1], [2, 2], [4, 9], [8, 1]], 109/3019898880], [[[1, 1], [2, 4], [3, 1], [4, 9]], 109/13589544960], [[[1, 1], [2, 4], [4, 2], [8, 4]], 65/12582912], [[[1, 1], [2, 4], [4, 2], [16, 2]], 1/8192], [[[1, 1], [2, 4], [4, 4], [8, 3]], 245/12582912], [[[1, 1], [2, 4], [4, 4], [12, 3]], 5/110592], [[[1, 1], [2, 4], [4, 6], [6, 4]], 1/254803968], [[[1, 1], [2, 4], [4, 6], [8, 2]], 5143/566231040], [[[1, 1], [2, 4], [4, 6], [10, 2]], 1/19660800], [[[1, 1], [2, 4], [4, 6], [12, 2]], 5/393216], [[[1, 1], [2, 4], [4, 6], [16, 1]], 91/35389440], [[[1, 1], [2, 4], [4, 6], [20, 1]], 1/196608], [[[1, 1], [2, 4], [4, 7], [6, 3]], 31/1274019840], [[[1, 1], [2, 4], [4, 7], [7, 1]], 1/20643840], [[[1, 1], [2, 4], [4, 7], [14, 1]], 1/20643840], [[[1, 1], [2, 4], [4, 8], [6, 2]], 47/2264924160], [[[1, 1], [2, 4], [4, 8], [8, 1]], 4217/9059696640], [[[1, 1], [2, 4], [4, 8], [10, 1]], 47/629145600], [[[1, 1], [2, 4], [4, 8], [12, 1]], 47/75497472], [[[1, 1], [2, 4], [4, 9], [6, 1]], 109/13589544960], [[[1, 1], [2, 4], [8, 1], [16, 2]], 1/24576], [[[1, 1], [2, 4], [8, 3], [16, 1]], 13/393216], [[[1, 1], [2, 6], [4, 1], [8, 4]], 5/6291456], [[[1, 1], [2, 6], [4, 3], [8, 3]], 37/8388608], [[[1, 1], [2, 6], [4, 3], [10, 3]], 1/256000], [[[1, 1], [2, 6], [4, 3], [12, 3]], 1/331776], [[[1, 1], [2, 6], [4, 4], [6, 5]], 7/95551488], [[[1, 1], [2, 6], [4, 5], [6, 4]], 5/14155776], [[[1, 1], [2, 6], [4, 5], [8, 2]], 781/251658240], [[[1, 1], [2, 6], [4, 5], [10, 2]], 23/9830400], [[[1, 1], [2, 6], [4, 5], [12, 2]], 1/55296], [[[1, 1], [2, 6], [4, 5], [16, 1]], 1/1572864], [[[1, 1], [2, 6], [4, 5], [20, 1]], 1/73728], [[[1, 1], [2, 6], [4, 6], [6, 3]], 35/254803968], [[[1, 1], [2, 6], [4, 6], [14, 1]], 5/14680064], [[[1, 1], [2, 6], [4, 7], [5, 1]], 151/5662310400], [[[1, 1], [2, 6], [4, 7], [6, 2]], 511/1698693120], [[[1, 1], [2, 6], [4, 7], [8, 1]], 40367/67947724800], [[[1, 1], [2, 6], [4, 7], [10, 1]], 967/1132462080], [[[1, 1], [2, 6], [4, 7], [12, 1]], 2767/1132462080], [[[1, 1], [2, 6], [4, 8], [6, 1]], 269/6039797760], [[[1, 1], [2, 6], [6, 3], [8, 3]], 1/442368], [[[1, 1], [2, 6], [6, 5], [8, 2]], 1/1990656], [[[1, 1], [2, 8], [3, 1], [4, 7]], 751/203843174400], [[[1, 1], [2, 8], [4, 2], [6, 6]], 7/23887872], [[[1, 1], [2, 8], [4, 2], [8, 3]], 1087/2642411520], [[[1, 1], [2, 8], [4, 2], [10, 3]], 7/1536000], [[[1, 1], [2, 8], [4, 3], [6, 5]], 77/47775744], [[[1, 1], [2, 8], [4, 4], [6, 4]], 2099/3057647616], [[[1, 1], [2, 8], [4, 4], [8, 2]], 107497/126835752960], [[[1, 1], [2, 8], [4, 4], [10, 2]], 307/235929600], [[[1, 1], [2, 8], [4, 4], [12, 2]], 11/70778880], [[[1, 1], [2, 8], [4, 4], [20, 1]], 11/19660800], [[[1, 1], [2, 8], [4, 5], [6, 3]], 119/113246208], [[[1, 1], [2, 8], [4, 5], [14, 1]], 23/22020096], [[[1, 1], [2, 8], [4, 6], [6, 2]], 1393/6794772480], [[[1, 1], [2, 8], [4, 6], [8, 1]], 29459/158544691200], [[[1, 1], [2, 8], [4, 6], [10, 1]], 649/5662310400], [[[1, 1], [2, 8], [4, 6], [12, 1]], 497/4529848320], [[[1, 1], [2, 8], [4, 7], [6, 1]], 4331/22649241600], [[[1, 1], [2, 8], [6, 2], [8, 3]], 1/1572864], [[[1, 1], [2, 8], [6, 2], [10, 3]], 1/72000], [[[1, 1], [2, 8], [6, 4], [8, 2]], 125/63700992], [[[1, 1], [2, 8], [6, 4], [10, 2]], 1/129600], [[[1, 1], [2, 8], [6, 5], [14, 1]], 1/435456], [[[1, 1], [2, 8], [6, 6], [8, 1]], 1/1492992], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/933120], [[[1, 1], [2, 8], [8, 2], [10, 2]], 13/4915200], [[[1, 1], [2, 8], [8, 2], [16, 1]], 1/4587520], [[[1, 1], [2, 8], [8, 3], [10, 1]], 1/3932160], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/497664], [[[1, 1], [2, 10], [4, 1], [6, 6]], 17/11943936], [[[1, 1], [2, 10], [4, 1], [8, 3]], 43/9059696640], [[[1, 1], [2, 10], [4, 1], [10, 3]], 13/3072000], [[[1, 1], [2, 10], [4, 2], [6, 5]], 397/318504960], [[[1, 1], [2, 10], [4, 3], [6, 4]], 1505/764411904], [[[1, 1], [2, 10], [4, 3], [8, 2]], 1097/12683575296], [[[1, 1], [2, 10], [4, 3], [10, 2]], 449/294912000], [[[1, 1], [2, 10], [4, 3], [12, 2]], 1/445906944], [[[1, 1], [2, 10], [4, 3], [16, 1]], 1/94371840], [[[1, 1], [2, 10], [4, 3], [20, 1]], 1/123863040], [[[1, 1], [2, 10], [4, 4], [6, 3]], 8083/15288238080], [[[1, 1], [2, 10], [4, 4], [14, 1]], 107/880803840], [[[1, 1], [2, 10], [4, 5], [5, 1]], 17/7549747200], [[[1, 1], [2, 10], [4, 5], [6, 2]], 71/150994944], [[[1, 1], [2, 10], [4, 5], [8, 1]], 58733/1522029035520], [[[1, 1], [2, 10], [4, 5], [10, 1]], 3311/22649241600], [[[1, 1], [2, 10], [4, 5], [12, 1]], 13411/285380444160], [[[1, 1], [2, 10], [4, 6], [6, 1]], 205/8153726976], [[[1, 1], [2, 10], [6, 1], [8, 3]], 1/47185920], [[[1, 1], [2, 10], [6, 1], [10, 3]], 41/2304000], [[[1, 1], [2, 10], [6, 3], [8, 2]], 193/318504960], [[[1, 1], [2, 10], [6, 3], [10, 2]], 23/829440], [[[1, 1], [2, 10], [6, 4], [14, 1]], 125/13934592], [[[1, 1], [2, 10], [6, 5], [8, 1]], 5/5308416], [[[1, 1], [2, 10], [6, 5], [10, 1]], 5/663552], [[[1, 1], [2, 10], [10, 2], [14, 1]], 13/1075200], [[[1, 1], [2, 12], [3, 1], [4, 5]], 701/2283043553280], [[[1, 1], [2, 12], [3, 1], [6, 5]], 61/79626240], [[[1, 1], [2, 12], [4, 1], [6, 5]], 317/318504960], [[[1, 1], [2, 12], [4, 2], [6, 4]], 79301/142690222080], [[[1, 1], [2, 12], [4, 2], [8, 2]], 7769/1902536294400], [[[1, 1], [2, 12], [4, 2], [10, 2]], 25133/99090432000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 226453/428070666240], [[[1, 1], [2, 12], [4, 3], [14, 1]], 121/1981808640], [[[1, 1], [2, 12], [4, 4], [6, 2]], 207679/3424565329920], [[[1, 1], [2, 12], [4, 4], [8, 1]], 10061/1087163596800], [[[1, 1], [2, 12], [4, 4], [10, 1]], 18707/951268147200], [[[1, 1], [2, 12], [4, 4], [12, 1]], 1411/815372697600], [[[1, 1], [2, 12], [4, 5], [6, 1]], 1013/50734301184], [[[1, 1], [2, 12], [6, 2], [8, 2]], 839/20384317440], [[[1, 1], [2, 12], [6, 2], [10, 2]], 737/110592000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 193/69672960], [[[1, 1], [2, 12], [6, 4], [8, 1]], 161/637009920], [[[1, 1], [2, 12], [6, 4], [10, 1]], 1931/398131200], [[[1, 1], [2, 12], [8, 1], [10, 2]], 1/9830400], [[[1, 1], [2, 12], [8, 2], [10, 1]], 43/5662310400], [[[1, 1], [2, 14], [3, 1], [6, 4]], 341/4459069440], [[[1, 1], [2, 14], [4, 1], [6, 4]], 221/1132462080], [[[1, 1], [2, 14], [4, 1], [8, 2]], 181/1268357529600], [[[1, 1], [2, 14], [4, 1], [10, 2]], 871/16515072000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 121637/2140353331200], [[[1, 1], [2, 14], [4, 2], [14, 1]], 1411/475634073600], [[[1, 1], [2, 14], [4, 3], [5, 1]], 31/1358954496000], [[[1, 1], [2, 14], [4, 3], [6, 2]], 219343/8561413324800], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1357/2536715059200], [[[1, 1], [2, 14], [4, 3], [10, 1]], 66301/9512681472000], [[[1, 1], [2, 14], [4, 3], [12, 1]], 59/271790899200], [[[1, 1], [2, 14], [4, 4], [6, 1]], 44567/27396522639360], [[[1, 1], [2, 14], [6, 1], [8, 2]], 551/815372697600], [[[1, 1], [2, 14], [6, 1], [10, 2]], 11231/37158912000], [[[1, 1], [2, 14], [6, 2], [14, 1]], 839/4459069440], [[[1, 1], [2, 14], [6, 3], [8, 1]], 227/13377208320], [[[1, 1], [2, 14], [6, 3], [10, 1]], 4327/6688604160], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/1981808640], [[[1, 1], [2, 14], [10, 1], [14, 1]], 43/1238630400], [[[1, 1], [2, 16], [3, 1], [4, 3]], 173/68491306598400], [[[1, 1], [2, 16], [3, 1], [6, 3]], 1639/713451110400], [[[1, 1], [2, 16], [4, 1], [6, 3]], 11963/1223059046400], [[[1, 1], [2, 16], [4, 1], [14, 1]], 73/237817036800], [[[1, 1], [2, 16], [4, 2], [6, 2]], 2833/1630745395200], [[[1, 1], [2, 16], [4, 2], [8, 1]], 997/22830435532800], [[[1, 1], [2, 16], [4, 2], [10, 1]], 9341/28538044416000], [[[1, 1], [2, 16], [4, 2], [12, 1]], 73/9784472371200], [[[1, 1], [2, 16], [4, 3], [6, 1]], 3947/9784472371200], [[[1, 1], [2, 16], [6, 1], [14, 1]], 551/178362777600], [[[1, 1], [2, 16], [6, 2], [8, 1]], 257/634178764800], [[[1, 1], [2, 16], [6, 2], [10, 1]], 29711/1189085184000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 59/951268147200], [[[1, 1], [2, 18], [3, 1], [6, 2]], 29/1426902220800], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/19568944742400], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/16307453952000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 2081/11415217766400], [[[1, 1], [2, 18], [4, 1], [8, 1]], 1373/730573937049600], [[[1, 1], [2, 18], [4, 1], [10, 1]], 3203/114152177664000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/9784472371200], [[[1, 1], [2, 18], [4, 2], [6, 1]], 4021/228304355328000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 29/9132174213120], [[[1, 1], [2, 18], [6, 1], [10, 1]], 1231/4076863488000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 17/3287582716723200], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/18264348426240], [[[1, 1], [2, 20], [4, 1], [6, 1]], 743/608811614208000], [[[1, 1], [4, 2], [8, 3], [16, 1]], 3/32768], [[[1, 1], [4, 4], [8, 2], [12, 2]], 1/73728], [[[1, 1], [4, 4], [8, 2], [20, 1]], 1/20480], [[[1, 1], [4, 6], [8, 1], [16, 1]], 1/2949120], [[[1, 1], [4, 6], [8, 2], [12, 1]], 7/1179648], [[[1, 2], [2, 1], [4, 3], [8, 4]], 5/131072], [[[1, 2], [2, 1], [4, 5], [8, 3]], 395/12582912], [[[1, 2], [2, 1], [4, 7], [8, 2]], 31/20971520], [[[1, 2], [2, 1], [4, 7], [16, 1]], 1/3932160], [[[1, 2], [2, 1], [4, 9], [8, 1]], 109/3019898880], [[[1, 2], [2, 3], [3, 1], [4, 9]], 109/4529848320], [[[1, 2], [2, 3], [3, 2], [4, 8]], 19/754974720], [[[1, 2], [2, 3], [4, 2], [8, 4]], 155/2097152], [[[1, 2], [2, 3], [4, 2], [16, 2]], 3/8192], [[[1, 2], [2, 3], [4, 4], [8, 3]], 1157/4194304], [[[1, 2], [2, 3], [4, 4], [12, 3]], 5/55296], [[[1, 2], [2, 3], [4, 6], [8, 2]], 3067/75497472], [[[1, 2], [2, 3], [4, 6], [12, 2]], 5/196608], [[[1, 2], [2, 3], [4, 6], [16, 1]], 277/35389440], [[[1, 2], [2, 3], [4, 6], [20, 1]], 1/98304], [[[1, 2], [2, 3], [4, 7], [6, 3]], 31/1274019840], [[[1, 2], [2, 3], [4, 7], [7, 1]], 1/6881280], [[[1, 2], [2, 3], [4, 7], [14, 1]], 1/6881280], [[[1, 2], [2, 3], [4, 8], [5, 1]], 47/1887436800], [[[1, 2], [2, 3], [4, 8], [6, 2]], 53/1358954496], [[[1, 2], [2, 3], [4, 8], [8, 1]], 12899/9059696640], [[[1, 2], [2, 3], [4, 8], [10, 1]], 47/629145600], [[[1, 2], [2, 3], [4, 8], [12, 1]], 47/37748736], [[[1, 2], [2, 3], [4, 9], [6, 1]], 109/4529848320], [[[1, 2], [2, 3], [8, 1], [16, 2]], 7/24576], [[[1, 2], [2, 3], [8, 3], [16, 1]], 9/65536], [[[1, 2], [2, 5], [3, 1], [4, 8]], 16901/54358179840], [[[1, 2], [2, 5], [4, 1], [8, 4]], 65/6291456], [[[1, 2], [2, 5], [4, 1], [16, 2]], 1/24576], [[[1, 2], [2, 5], [4, 3], [8, 3]], 5923/75497472], [[[1, 2], [2, 5], [4, 3], [10, 3]], 1/256000], [[[1, 2], [2, 5], [4, 3], [12, 3]], 1/36864], [[[1, 2], [2, 5], [4, 5], [6, 4]], 5/14155776], [[[1, 2], [2, 5], [4, 5], [8, 2]], 8667/83886080], [[[1, 2], [2, 5], [4, 5], [10, 2]], 7/1966080], [[[1, 2], [2, 5], [4, 5], [12, 2]], 7/73728], [[[1, 2], [2, 5], [4, 5], [16, 1]], 97/4718592], [[[1, 2], [2, 5], [4, 5], [20, 1]], 3/40960], [[[1, 2], [2, 5], [4, 6], [6, 3]], 349/318504960], [[[1, 2], [2, 5], [4, 6], [7, 1]], 3047/1981808640], [[[1, 2], [2, 5], [4, 6], [14, 1]], 2131/990904320], [[[1, 2], [2, 5], [4, 7], [5, 1]], 91/629145600], [[[1, 2], [2, 5], [4, 7], [6, 2]], 319/339738624], [[[1, 2], [2, 5], [4, 7], [8, 1]], 37109/4529848320], [[[1, 2], [2, 5], [4, 7], [10, 1]], 15119/5662310400], [[[1, 2], [2, 5], [4, 7], [12, 1]], 4841/377487360], [[[1, 2], [2, 5], [4, 8], [6, 1]], 2171/5435817984], [[[1, 2], [2, 5], [6, 1], [8, 4]], 5/393216], [[[1, 2], [2, 5], [6, 3], [8, 3]], 1/442368], [[[1, 2], [2, 7], [3, 1], [4, 7]], 2027/40768634880], [[[1, 2], [2, 7], [3, 2], [4, 6]], 937/33973862400], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/7962624], [[[1, 2], [2, 7], [4, 2], [8, 3]], 31201/2642411520], [[[1, 2], [2, 7], [4, 2], [10, 3]], 3/102400], [[[1, 2], [2, 7], [4, 3], [6, 5]], 95/47775744], [[[1, 2], [2, 7], [4, 4], [6, 4]], 913/169869312], [[[1, 2], [2, 7], [4, 4], [8, 2]], 743/35389440], [[[1, 2], [2, 7], [4, 4], [10, 2]], 61/2621440], [[[1, 2], [2, 7], [4, 4], [12, 2]], 797/53084160], [[[1, 2], [2, 7], [4, 4], [16, 1]], 5/589824], [[[1, 2], [2, 7], [4, 4], [20, 1]], 197/14745600], [[[1, 2], [2, 7], [4, 5], [6, 3]], 1345/339738624], [[[1, 2], [2, 7], [4, 5], [14, 1]], 41/7340032], [[[1, 2], [2, 7], [4, 6], [5, 1]], 1987/4246732800], [[[1, 2], [2, 7], [4, 6], [6, 2]], 26491/6794772480], [[[1, 2], [2, 7], [4, 6], [8, 1]], 1533997/158544691200], [[[1, 2], [2, 7], [4, 6], [10, 1]], 22373/2831155200], [[[1, 2], [2, 7], [4, 6], [12, 1]], 5863/424673280], [[[1, 2], [2, 7], [4, 7], [6, 1]], 85033/67947724800], [[[1, 2], [2, 7], [6, 2], [8, 3]], 23/4718592], [[[1, 2], [2, 7], [6, 4], [8, 2]], 61/10616832], [[[1, 2], [2, 7], [6, 5], [7, 1]], 1/435456], [[[1, 2], [2, 7], [6, 6], [8, 1]], 1/1492992], [[[1, 2], [2, 7], [8, 2], [10, 2]], 1/163840], [[[1, 2], [2, 7], [8, 2], [16, 1]], 59/13762560], [[[1, 2], [2, 7], [8, 3], [10, 1]], 13/3932160], [[[1, 2], [2, 9], [3, 1], [4, 6]], 46111/713451110400], [[[1, 2], [2, 9], [3, 1], [6, 6]], 59/8957952], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/576000], [[[1, 2], [2, 9], [3, 2], [6, 5]], 37/2985984], [[[1, 2], [2, 9], [4, 1], [6, 6]], 35/11943936], [[[1, 2], [2, 9], [4, 1], [8, 3]], 7907/21139292160], [[[1, 2], [2, 9], [4, 1], [10, 3]], 97/3072000], [[[1, 2], [2, 9], [4, 2], [6, 5]], 277/31850496], [[[1, 2], [2, 9], [4, 3], [6, 4]], 8021/764411904], [[[1, 2], [2, 9], [4, 3], [8, 2]], 34867/9059696640], [[[1, 2], [2, 9], [4, 3], [10, 2]], 4709/294912000], [[[1, 2], [2, 9], [4, 3], [12, 2]], 197/2229534720], [[[1, 2], [2, 9], [4, 3], [16, 1]], 11/31457280], [[[1, 2], [2, 9], [4, 3], [20, 1]], 197/619315200], [[[1, 2], [2, 9], [4, 4], [6, 3]], 7783/849346560], [[[1, 2], [2, 9], [4, 4], [7, 1]], 17/2642411520], [[[1, 2], [2, 9], [4, 4], [14, 1]], 1987/330301440], [[[1, 2], [2, 9], [4, 5], [5, 1]], 107/2516582400], [[[1, 2], [2, 9], [4, 5], [6, 2]], 8621/2264924160], [[[1, 2], [2, 9], [4, 5], [8, 1]], 832603/507343011840], [[[1, 2], [2, 9], [4, 5], [10, 1]], 9187/4529848320], [[[1, 2], [2, 9], [4, 5], [12, 1]], 292723/285380444160], [[[1, 2], [2, 9], [4, 6], [6, 1]], 4349/2477260800], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/829440], [[[1, 2], [2, 9], [6, 1], [8, 3]], 7/15728640], [[[1, 2], [2, 9], [6, 1], [10, 3]], 11/384000], [[[1, 2], [2, 9], [6, 3], [8, 2]], 25/5308416], [[[1, 2], [2, 9], [6, 3], [10, 2]], 13/345600], [[[1, 2], [2, 9], [6, 4], [7, 1]], 17/13934592], [[[1, 2], [2, 9], [6, 4], [14, 1]], 29/2322432], [[[1, 2], [2, 9], [6, 5], [8, 1]], 25/5308416], [[[1, 2], [2, 9], [6, 5], [10, 1]], 47/4976640], [[[1, 2], [2, 9], [7, 1], [10, 2]], 1/1075200], [[[1, 2], [2, 9], [8, 2], [14, 1]], 1/2752512], [[[1, 2], [2, 9], [10, 2], [14, 1]], 1/35840], [[[1, 2], [2, 11], [3, 1], [4, 5]], 18707/2283043553280], [[[1, 2], [2, 11], [3, 1], [6, 5]], 649/79626240], [[[1, 2], [2, 11], [3, 2], [4, 4]], 8069/3424565329920], [[[1, 2], [2, 11], [3, 2], [6, 4]], 1249/477757440], [[[1, 2], [2, 11], [3, 2], [8, 2]], 1/20384317440], [[[1, 2], [2, 11], [3, 2], [10, 2]], 1/13271040], [[[1, 2], [2, 11], [4, 1], [6, 5]], 2467/318504960], [[[1, 2], [2, 11], [4, 2], [6, 4]], 8705/1019215872], [[[1, 2], [2, 11], [4, 2], [8, 2]], 25603/126835752960], [[[1, 2], [2, 11], [4, 2], [10, 2]], 1451/235929600], [[[1, 2], [2, 11], [4, 2], [12, 2]], 1/4459069440], [[[1, 2], [2, 11], [4, 2], [16, 1]], 1/198180864], [[[1, 2], [2, 11], [4, 2], [20, 1]], 1/1238630400], [[[1, 2], [2, 11], [4, 3], [6, 3]], 2567533/428070666240], [[[1, 2], [2, 11], [4, 3], [14, 1]], 2377/1981808640], [[[1, 2], [2, 11], [4, 4], [5, 1]], 21743/951268147200], [[[1, 2], [2, 11], [4, 4], [6, 2]], 54419/18119393280], [[[1, 2], [2, 11], [4, 4], [8, 1]], 2627377/7610145177600], [[[1, 2], [2, 11], [4, 4], [10, 1]], 62191/63417876480], [[[1, 2], [2, 11], [4, 4], [12, 1]], 88199/570760888320], [[[1, 2], [2, 11], [4, 5], [6, 1]], 20483/50734301184], [[[1, 2], [2, 11], [5, 1], [6, 4]], 61/132710400], [[[1, 2], [2, 11], [5, 1], [8, 2]], 1/5662310400], [[[1, 2], [2, 11], [5, 1], [10, 2]], 1/3686400], [[[1, 2], [2, 11], [6, 2], [8, 2]], 1319/2264924160], [[[1, 2], [2, 11], [6, 2], [10, 2]], 233/7372800], [[[1, 2], [2, 11], [6, 3], [7, 1]], 13/69672960], [[[1, 2], [2, 11], [6, 3], [14, 1]], 31/2322432], [[[1, 2], [2, 11], [6, 4], [8, 1]], 1931/637009920], [[[1, 2], [2, 11], [6, 4], [10, 1]], 1463/79626240], [[[1, 2], [2, 11], [8, 1], [10, 2]], 19/9830400], [[[1, 2], [2, 11], [8, 1], [16, 1]], 1/1981808640], [[[1, 2], [2, 11], [8, 2], [10, 1]], 13/75497472], [[[1, 2], [2, 13], [3, 1], [4, 4]], 413531/136982613196800], [[[1, 2], [2, 13], [3, 1], [6, 4]], 84233/53508833280], [[[1, 2], [2, 13], [3, 1], [8, 2]], 151/815372697600], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1109/37158912000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 2447/26754416640], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/4459069440], [[[1, 2], [2, 13], [4, 1], [6, 4]], 30061/10192158720], [[[1, 2], [2, 13], [4, 1], [8, 2]], 9521/1268357529600], [[[1, 2], [2, 13], [4, 1], [10, 2]], 6833/5505024000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 2137/1114767360], [[[1, 2], [2, 13], [4, 2], [7, 1]], 31/475634073600], [[[1, 2], [2, 13], [4, 2], [14, 1]], 3043/15854469120], [[[1, 2], [2, 13], [4, 3], [5, 1]], 1411/1358954496000], [[[1, 2], [2, 13], [4, 3], [6, 2]], 758149/1223059046400], [[[1, 2], [2, 13], [4, 3], [8, 1]], 288439/7610145177600], [[[1, 2], [2, 13], [4, 3], [10, 1]], 1833481/9512681472000], [[[1, 2], [2, 13], [4, 3], [12, 1]], 2719/271790899200], [[[1, 2], [2, 13], [4, 4], [6, 1]], 943679/7610145177600], [[[1, 2], [2, 13], [5, 1], [6, 3]], 341/7431782400], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/1238630400], [[[1, 2], [2, 13], [6, 1], [8, 2]], 3149/190253629440], [[[1, 2], [2, 13], [6, 1], [10, 2]], 901/294912000], [[[1, 2], [2, 13], [6, 2], [7, 1]], 29/4459069440], [[[1, 2], [2, 13], [6, 2], [14, 1]], 943/495452160], [[[1, 2], [2, 13], [6, 3], [8, 1]], 4327/10701766656], [[[1, 2], [2, 13], [6, 3], [10, 1]], 17009/3185049600], [[[1, 2], [2, 13], [7, 1], [10, 1]], 1/1238630400], [[[1, 2], [2, 13], [8, 1], [14, 1]], 43/1981808640], [[[1, 2], [2, 13], [10, 1], [14, 1]], 41/82575360], [[[1, 2], [2, 15], [3, 1], [4, 3]], 9341/68491306598400], [[[1, 2], [2, 15], [3, 1], [6, 3]], 521747/6421059993600], [[[1, 2], [2, 15], [3, 1], [14, 1]], 31/178362777600], [[[1, 2], [2, 15], [3, 2], [4, 2]], 17/1369826131968], [[[1, 2], [2, 15], [3, 2], [6, 2]], 3349/4280706662400], [[[1, 2], [2, 15], [3, 2], [10, 1]], 23/428070666240], [[[1, 2], [2, 15], [4, 1], [6, 3]], 2405681/8561413324800], [[[1, 2], [2, 15], [4, 1], [14, 1]], 3373/237817036800], [[[1, 2], [2, 15], [4, 2], [5, 1]], 1/8257536000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 1050097/11415217766400], [[[1, 2], [2, 15], [4, 2], [8, 1]], 12479/4566087106560], [[[1, 2], [2, 15], [4, 2], [10, 1]], 21979/951268147200], [[[1, 2], [2, 15], [4, 2], [12, 1]], 107/271790899200], [[[1, 2], [2, 15], [4, 3], [6, 1]], 1077533/68491306598400], [[[1, 2], [2, 15], [5, 1], [6, 2]], 1639/1189085184000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 23/118908518400], [[[1, 2], [2, 15], [6, 1], [7, 1]], 11/178362777600], [[[1, 2], [2, 15], [6, 1], [14, 1]], 337/5945425920], [[[1, 2], [2, 15], [6, 2], [8, 1]], 29711/1902536294400], [[[1, 2], [2, 15], [6, 2], [10, 1]], 130321/356725555200], [[[1, 2], [2, 15], [8, 1], [10, 1]], 2951/951268147200], [[[1, 2], [2, 17], [3, 1], [4, 2]], 1721/136982613196800], [[[1, 2], [2, 17], [3, 1], [5, 1]], 1/12230590464000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 19/15854469120], [[[1, 2], [2, 17], [3, 1], [8, 1]], 73/19568944742400], [[[1, 2], [2, 17], [3, 1], [10, 1]], 173/10701766656000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 29/8561413324800], [[[1, 2], [2, 17], [4, 1], [5, 1]], 73/16307453952000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 94189/11415217766400], [[[1, 2], [2, 17], [4, 1], [8, 1]], 1433/16234976378880], [[[1, 2], [2, 17], [4, 1], [10, 1]], 175307/114152177664000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 73/9784472371200], [[[1, 2], [2, 17], [4, 2], [6, 1]], 16057/11415217766400], [[[1, 2], [2, 17], [5, 1], [6, 1]], 29/2378170368000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 1231/6522981580800], [[[1, 2], [2, 17], [6, 1], [10, 1]], 49943/7134511104000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 1403/3287582716723200], [[[1, 2], [2, 19], [3, 1], [6, 1]], 6721/1369826131968000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 148919/1826434842624000], [[[1, 3], [2, 2], [3, 1], [4, 9]], 109/4529848320], [[[1, 3], [2, 2], [3, 2], [4, 8]], 53/1358954496], [[[1, 3], [2, 2], [3, 3], [4, 7]], 31/1274019840], [[[1, 3], [2, 2], [4, 2], [8, 4]], 155/2097152], [[[1, 3], [2, 2], [4, 2], [16, 2]], 3/8192], [[[1, 3], [2, 2], [4, 4], [8, 3]], 1157/4194304], [[[1, 3], [2, 2], [4, 4], [12, 3]], 5/55296], [[[1, 3], [2, 2], [4, 6], [8, 2]], 3067/75497472], [[[1, 3], [2, 2], [4, 6], [12, 2]], 5/196608], [[[1, 3], [2, 2], [4, 6], [16, 1]], 277/35389440], [[[1, 3], [2, 2], [4, 6], [20, 1]], 1/98304], [[[1, 3], [2, 2], [4, 7], [7, 1]], 1/6881280], [[[1, 3], [2, 2], [4, 7], [14, 1]], 1/6881280], [[[1, 3], [2, 2], [4, 8], [5, 1]], 47/629145600], [[[1, 3], [2, 2], [4, 8], [6, 2]], 19/754974720], [[[1, 3], [2, 2], [4, 8], [8, 1]], 12899/9059696640], [[[1, 3], [2, 2], [4, 8], [10, 1]], 47/1887436800], [[[1, 3], [2, 2], [4, 8], [12, 1]], 47/37748736], [[[1, 3], [2, 2], [4, 9], [6, 1]], 109/4529848320], [[[1, 3], [2, 2], [8, 1], [16, 2]], 7/24576], [[[1, 3], [2, 2], [8, 3], [16, 1]], 9/65536], [[[1, 3], [2, 4], [3, 1], [4, 8]], 52889/54358179840], [[[1, 3], [2, 4], [3, 2], [4, 7]], 4757/5096079360], [[[1, 3], [2, 4], [4, 1], [8, 4]], 55/1048576], [[[1, 3], [2, 4], [4, 1], [16, 2]], 7/24576], [[[1, 3], [2, 4], [4, 3], [8, 3]], 15719/25165824], [[[1, 3], [2, 4], [4, 3], [12, 3]], 11/165888], [[[1, 3], [2, 4], [4, 5], [5, 2]], 1/1638400], [[[1, 3], [2, 4], [4, 5], [8, 2]], 27509/75497472], [[[1, 3], [2, 4], [4, 5], [10, 2]], 3/1638400], [[[1, 3], [2, 4], [4, 5], [12, 2]], 43/221184], [[[1, 3], [2, 4], [4, 5], [16, 1]], 73/1179648], [[[1, 3], [2, 4], [4, 5], [20, 1]], 7/46080], [[[1, 3], [2, 4], [4, 6], [6, 3]], 319/318504960], [[[1, 3], [2, 4], [4, 6], [7, 1]], 9539/1981808640], [[[1, 3], [2, 4], [4, 6], [14, 1]], 5107/990904320], [[[1, 3], [2, 4], [4, 7], [5, 1]], 3193/2831155200], [[[1, 3], [2, 4], [4, 7], [6, 2]], 8009/5096079360], [[[1, 3], [2, 4], [4, 7], [8, 1]], 102547/4529848320], [[[1, 3], [2, 4], [4, 7], [10, 1]], 889/314572800], [[[1, 3], [2, 4], [4, 7], [12, 1]], 14867/566231040], [[[1, 3], [2, 4], [4, 8], [6, 1]], 9281/9059696640], [[[1, 3], [2, 4], [6, 1], [8, 4]], 5/393216], [[[1, 3], [2, 4], [7, 1], [8, 3]], 1/28672], [[[1, 3], [2, 4], [8, 3], [14, 1]], 1/28672], [[[1, 3], [2, 6], [3, 1], [4, 7]], 254227/67947724800], [[[1, 3], [2, 6], [3, 2], [4, 6]], 27731/101921587200], [[[1, 3], [2, 6], [3, 2], [8, 3]], 1/14155776], [[[1, 3], [2, 6], [3, 3], [4, 5]], 103/1019215872], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/23887872], [[[1, 3], [2, 6], [4, 2], [8, 3]], 46849/377487360], [[[1, 3], [2, 6], [4, 2], [10, 3]], 13/512000], [[[1, 3], [2, 6], [4, 3], [6, 5]], 25/47775744], [[[1, 3], [2, 6], [4, 4], [6, 4]], 2819/509607936], [[[1, 3], [2, 6], [4, 4], [8, 2]], 247909/754974720], [[[1, 3], [2, 6], [4, 4], [10, 2]], 1507/39321600], [[[1, 3], [2, 6], [4, 4], [12, 2]], 1783/17694720], [[[1, 3], [2, 6], [4, 4], [16, 1]], 181/2359296], [[[1, 3], [2, 6], [4, 4], [20, 1]], 463/4915200], [[[1, 3], [2, 6], [4, 5], [6, 3]], 6521/509607936], [[[1, 3], [2, 6], [4, 5], [7, 1]], 725/66060288], [[[1, 3], [2, 6], [4, 5], [14, 1]], 709/33030144], [[[1, 3], [2, 6], [4, 6], [5, 1]], 245/84934656], [[[1, 3], [2, 6], [4, 6], [6, 2]], 83419/6794772480], [[[1, 3], [2, 6], [4, 6], [8, 1]], 1656163/22649241600], [[[1, 3], [2, 6], [4, 6], [10, 1]], 24529/943718400], [[[1, 3], [2, 6], [4, 6], [12, 1]], 21329/283115520], [[[1, 3], [2, 6], [4, 7], [6, 1]], 254137/40768634880], [[[1, 3], [2, 6], [5, 1], [8, 3]], 3/1310720], [[[1, 3], [2, 6], [6, 2], [8, 3]], 49/2359296], [[[1, 3], [2, 6], [6, 4], [8, 2]], 5/1179648], [[[1, 3], [2, 6], [6, 5], [7, 1]], 1/435456], [[[1, 3], [2, 6], [8, 2], [10, 2]], 1/163840], [[[1, 3], [2, 6], [8, 2], [16, 1]], 61/1966080], [[[1, 3], [2, 6], [8, 3], [10, 1]], 9/655360], [[[1, 3], [2, 8], [3, 1], [4, 6]], 661229/713451110400], [[[1, 3], [2, 8], [3, 1], [6, 6]], 61/8957952], [[[1, 3], [2, 8], [3, 1], [8, 3]], 59/141557760], [[[1, 3], [2, 8], [3, 1], [10, 3]], 7/576000], [[[1, 3], [2, 8], [3, 2], [4, 5]], 2483/6794772480], [[[1, 3], [2, 8], [3, 2], [6, 5]], 133/2985984], [[[1, 3], [2, 8], [3, 3], [6, 4]], 7/248832], [[[1, 3], [2, 8], [4, 1], [6, 6]], 77/35831808], [[[1, 3], [2, 8], [4, 1], [8, 3]], 18209/2348810240], [[[1, 3], [2, 8], [4, 1], [10, 3]], 23/512000], [[[1, 3], [2, 8], [4, 2], [6, 5]], 385/31850496], [[[1, 3], [2, 8], [4, 3], [5, 2]], 1/18432000], [[[1, 3], [2, 8], [4, 3], [6, 4]], 11279/382205952], [[[1, 3], [2, 8], [4, 3], [8, 2]], 904031/15854469120], [[[1, 3], [2, 8], [4, 3], [10, 2]], 59/655360], [[[1, 3], [2, 8], [4, 3], [12, 2]], 2039/557383680], [[[1, 3], [2, 8], [4, 3], [16, 1]], 197/23592960], [[[1, 3], [2, 8], [4, 3], [20, 1]], 779/154828800], [[[1, 3], [2, 8], [4, 4], [6, 3]], 29747/849346560], [[[1, 3], [2, 8], [4, 4], [7, 1]], 107/880803840], [[[1, 3], [2, 8], [4, 4], [14, 1]], 10709/330301440], [[[1, 3], [2, 8], [4, 5], [5, 1]], 5569/1887436800], [[[1, 3], [2, 8], [4, 5], [6, 2]], 57743/2264924160], [[[1, 3], [2, 8], [4, 5], [8, 1]], 6945787/169114337280], [[[1, 3], [2, 8], [4, 5], [10, 1]], 183829/5662310400], [[[1, 3], [2, 8], [4, 5], [12, 1]], 962357/35672555520], [[[1, 3], [2, 8], [4, 6], [6, 1]], 461647/39636172800], [[[1, 3], [2, 8], [5, 1], [6, 5]], 1/276480], [[[1, 3], [2, 8], [6, 1], [8, 3]], 43/9437184], [[[1, 3], [2, 8], [6, 1], [10, 3]], 7/384000], [[[1, 3], [2, 8], [6, 3], [8, 2]], 85/5308416], [[[1, 3], [2, 8], [6, 3], [10, 2]], 1/57600], [[[1, 3], [2, 8], [6, 4], [7, 1]], 125/13934592], [[[1, 3], [2, 8], [6, 4], [14, 1]], 13/2322432], [[[1, 3], [2, 8], [6, 5], [8, 1]], 137/23887872], [[[1, 3], [2, 8], [6, 5], [10, 1]], 19/4976640], [[[1, 3], [2, 8], [7, 1], [10, 2]], 13/1075200], [[[1, 3], [2, 8], [8, 2], [14, 1]], 13/2752512], [[[1, 3], [2, 8], [10, 2], [14, 1]], 1/35840], [[[1, 3], [2, 10], [3, 1], [4, 5]], 1031099/2283043553280], [[[1, 3], [2, 10], [3, 1], [6, 5]], 6209/238878720], [[[1, 3], [2, 10], [3, 2], [4, 4]], 26141/489223618560], [[[1, 3], [2, 10], [3, 2], [6, 4]], 3011/95551488], [[[1, 3], [2, 10], [3, 2], [8, 2]], 43/20384317440], [[[1, 3], [2, 10], [3, 2], [10, 2]], 83/66355200], [[[1, 3], [2, 10], [3, 3], [4, 3]], 737/85614133248], [[[1, 3], [2, 10], [3, 3], [6, 3]], 7/4423680], [[[1, 3], [2, 10], [4, 1], [6, 5]], 1087/63700992], [[[1, 3], [2, 10], [4, 2], [6, 4]], 210361/5096079360], [[[1, 3], [2, 10], [4, 2], [8, 2]], 609719/126835752960], [[[1, 3], [2, 10], [4, 2], [10, 2]], 62339/1179648000], [[[1, 3], [2, 10], [4, 2], [12, 2]], 7/637009920], [[[1, 3], [2, 10], [4, 2], [16, 1]], 197/990904320], [[[1, 3], [2, 10], [4, 2], [20, 1]], 7/176947200], [[[1, 3], [2, 10], [4, 3], [6, 3]], 118729/3057647616], [[[1, 3], [2, 10], [4, 3], [7, 1]], 121/1981808640], [[[1, 3], [2, 10], [4, 3], [14, 1]], 127/7741440], [[[1, 3], [2, 10], [4, 4], [5, 1]], 17261/38050725888], [[[1, 3], [2, 10], [4, 4], [6, 2]], 9204929/380507258880], [[[1, 3], [2, 10], [4, 4], [8, 1]], 1467383/217432719360], [[[1, 3], [2, 10], [4, 4], [10, 1]], 3899089/317089382400], [[[1, 3], [2, 10], [4, 4], [12, 1]], 1642031/570760888320], [[[1, 3], [2, 10], [4, 5], [6, 1]], 6221917/761014517760], [[[1, 3], [2, 10], [5, 1], [6, 4]], 611/132710400], [[[1, 3], [2, 10], [5, 1], [8, 2]], 43/5662310400], [[[1, 3], [2, 10], [5, 1], [10, 2]], 83/18432000], [[[1, 3], [2, 10], [6, 2], [8, 2]], 1133/251658240], [[[1, 3], [2, 10], [6, 2], [10, 2]], 1253/22118400], [[[1, 3], [2, 10], [6, 3], [7, 1]], 193/69672960], [[[1, 3], [2, 10], [6, 3], [14, 1]], 55/2322432], [[[1, 3], [2, 10], [6, 4], [8, 1]], 4355/382205952], [[[1, 3], [2, 10], [6, 4], [10, 1]], 83/2949120], [[[1, 3], [2, 10], [8, 1], [10, 2]], 331/29491200], [[[1, 3], [2, 10], [8, 1], [16, 1]], 7/283115520], [[[1, 3], [2, 10], [8, 2], [10, 1]], 707/377487360], [[[1, 3], [2, 12], [3, 1], [4, 4]], 11484671/136982613196800], [[[1, 3], [2, 12], [3, 1], [6, 4]], 615221/53508833280], [[[1, 3], [2, 12], [3, 1], [8, 2]], 6571/815372697600], [[[1, 3], [2, 12], [3, 1], [10, 2]], 25133/37158912000], [[[1, 3], [2, 12], [3, 2], [4, 3]], 125591/8561413324800], [[[1, 3], [2, 12], [3, 2], [6, 3]], 69173/26754416640], [[[1, 3], [2, 12], [3, 2], [14, 1]], 43/4459069440], [[[1, 3], [2, 12], [3, 3], [6, 2]], 13/495452160], [[[1, 3], [2, 12], [3, 3], [8, 1]], 1/15288238080], [[[1, 3], [2, 12], [4, 1], [5, 2]], 1/3538944000], [[[1, 3], [2, 12], [4, 1], [6, 4]], 119249/7644119040], [[[1, 3], [2, 12], [4, 1], [8, 2]], 21277/126835752960], [[[1, 3], [2, 12], [4, 1], [10, 2]], 11959/1179648000], [[[1, 3], [2, 12], [4, 1], [16, 1]], 1/1981808640], [[[1, 3], [2, 12], [4, 2], [6, 3]], 1021229/53508833280], [[[1, 3], [2, 12], [4, 2], [7, 1]], 1411/475634073600], [[[1, 3], [2, 12], [4, 2], [14, 1]], 52331/15854469120], [[[1, 3], [2, 12], [4, 3], [5, 1]], 386437/4756340736000], [[[1, 3], [2, 12], [4, 3], [6, 2]], 16371499/1712282664960], [[[1, 3], [2, 12], [4, 3], [8, 1]], 7938713/7610145177600], [[[1, 3], [2, 12], [4, 3], [10, 1]], 634717/190253629440], [[[1, 3], [2, 12], [4, 3], [12, 1]], 141929/570760888320], [[[1, 3], [2, 12], [4, 4], [6, 1]], 10412453/4566087106560], [[[1, 3], [2, 12], [5, 1], [6, 3]], 6557/7431782400], [[[1, 3], [2, 12], [5, 1], [14, 1]], 43/1238630400], [[[1, 3], [2, 12], [6, 1], [8, 2]], 14443/63417876480], [[[1, 3], [2, 12], [6, 1], [10, 2]], 12281/884736000], [[[1, 3], [2, 12], [6, 2], [7, 1]], 839/4459069440], [[[1, 3], [2, 12], [6, 2], [14, 1]], 4301/495452160], [[[1, 3], [2, 12], [6, 3], [8, 1]], 50819/15288238080], [[[1, 3], [2, 12], [6, 3], [10, 1]], 63083/3185049600], [[[1, 3], [2, 12], [7, 1], [8, 1]], 1/1981808640], [[[1, 3], [2, 12], [7, 1], [10, 1]], 43/1238630400], [[[1, 3], [2, 12], [8, 1], [14, 1]], 41/132120576], [[[1, 3], [2, 12], [10, 1], [14, 1]], 251/82575360], [[[1, 3], [2, 14], [3, 1], [4, 3]], 29443/2739652263936], [[[1, 3], [2, 14], [3, 1], [6, 3]], 3488003/3210529996800], [[[1, 3], [2, 14], [3, 1], [14, 1]], 1411/178362777600], [[[1, 3], [2, 14], [3, 2], [4, 2]], 3023/4892236185600], [[[1, 3], [2, 14], [3, 2], [6, 2]], 186073/4280706662400], [[[1, 3], [2, 14], [3, 2], [8, 1]], 481/5707608883200], [[[1, 3], [2, 14], [3, 2], [10, 1]], 5359/2140353331200], [[[1, 3], [2, 14], [3, 3], [4, 1]], 23/1027369598976], [[[1, 3], [2, 14], [3, 3], [6, 1]], 19/142690222080], [[[1, 3], [2, 14], [4, 1], [6, 3]], 7399367/2568423997440], [[[1, 3], [2, 14], [4, 1], [7, 1]], 73/237817036800], [[[1, 3], [2, 14], [4, 1], [14, 1]], 5491/23781703680], [[[1, 3], [2, 14], [4, 2], [5, 1]], 4469/792723456000], [[[1, 3], [2, 14], [4, 2], [6, 2]], 20681593/11415217766400], [[[1, 3], [2, 14], [4, 2], [8, 1]], 192599/2536715059200], [[[1, 3], [2, 14], [4, 2], [10, 1]], 283993/528482304000], [[[1, 3], [2, 14], [4, 2], [12, 1]], 3107/271790899200], [[[1, 3], [2, 14], [4, 3], [6, 1]], 27382507/68491306598400], [[[1, 3], [2, 14], [5, 1], [6, 2]], 6011/132120576000], [[[1, 3], [2, 14], [5, 1], [8, 1]], 23/190253629440], [[[1, 3], [2, 14], [5, 1], [10, 1]], 5359/594542592000], [[[1, 3], [2, 14], [6, 1], [7, 1]], 551/178362777600], [[[1, 3], [2, 14], [6, 1], [14, 1]], 2981/5945425920], [[[1, 3], [2, 14], [6, 2], [8, 1]], 390151/1712282664960], [[[1, 3], [2, 14], [6, 2], [10, 1]], 932777/356725555200], [[[1, 3], [2, 14], [8, 1], [10, 1]], 26939/475634073600], [[[1, 3], [2, 16], [3, 1], [4, 2]], 94721/136982613196800], [[[1, 3], [2, 16], [3, 1], [5, 1]], 73/12230590464000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 115729/4280706662400], [[[1, 3], [2, 16], [3, 1], [8, 1]], 4021/34245653299200], [[[1, 3], [2, 16], [3, 1], [10, 1]], 9341/10701766656000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 359/14676708556800], [[[1, 3], [2, 16], [3, 2], [6, 1]], 2081/8561413324800], [[[1, 3], [2, 16], [4, 1], [5, 1]], 229/1189085184000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 327671/2283043553280], [[[1, 3], [2, 16], [4, 1], [8, 1]], 348347/146114787409920], [[[1, 3], [2, 16], [4, 1], [10, 1]], 456151/14269022208000], [[[1, 3], [2, 16], [4, 1], [12, 1]], 7/32614907904], [[[1, 3], [2, 16], [4, 2], [6, 1]], 502927/11415217766400], [[[1, 3], [2, 16], [5, 1], [6, 1]], 223/339738624000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 5987/1369826131968], [[[1, 3], [2, 16], [6, 1], [10, 1]], 198677/2378170368000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 14459/782757789696000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 241081/1369826131968000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 2375489/1095860905574400], [[[1, 3], [3, 1], [4, 2], [8, 4]], 5/393216], [[[1, 3], [3, 1], [4, 6], [8, 2]], 121/283115520], [[[1, 3], [3, 1], [8, 3], [16, 1]], 1/12288], [[[1, 3], [3, 2], [4, 3], [8, 3]], 5/1179648], [[[1, 3], [3, 2], [4, 7], [8, 1]], 31/849346560], [[[1, 3], [4, 1], [8, 1], [16, 2]], 1/8192], [[[1, 3], [4, 3], [5, 1], [8, 3]], 1/65536], [[[1, 3], [4, 3], [8, 1], [12, 3]], 1/27648], [[[1, 3], [4, 3], [8, 2], [16, 1]], 5/196608], [[[1, 3], [4, 3], [8, 3], [12, 1]], 1/98304], [[[1, 3], [4, 3], [12, 2], [16, 1]], 1/18432], [[[1, 3], [4, 3], [16, 1], [20, 1]], 1/5120], [[[1, 3], [4, 4], [7, 1], [8, 2]], 1/229376], [[[1, 3], [4, 5], [8, 1], [12, 2]], 1/73728], [[[1, 3], [4, 5], [8, 1], [20, 1]], 1/61440], [[[1, 3], [4, 5], [12, 1], [16, 1]], 1/73728], [[[1, 3], [4, 7], [5, 1], [8, 1]], 31/235929600], [[[1, 3], [4, 7], [8, 1], [12, 1]], 43/23592960], [[[1, 4], [2, 1], [3, 1], [4, 9]], 109/13589544960], [[[1, 4], [2, 1], [3, 2], [4, 8]], 47/2264924160], [[[1, 4], [2, 1], [3, 3], [4, 7]], 31/1274019840], [[[1, 4], [2, 1], [3, 4], [4, 6]], 1/254803968], [[[1, 4], [2, 1], [4, 2], [8, 4]], 65/12582912], [[[1, 4], [2, 1], [4, 2], [16, 2]], 1/8192], [[[1, 4], [2, 1], [4, 4], [8, 3]], 245/12582912], [[[1, 4], [2, 1], [4, 4], [12, 3]], 5/110592], [[[1, 4], [2, 1], [4, 6], [5, 2]], 1/19660800], [[[1, 4], [2, 1], [4, 6], [8, 2]], 5143/566231040], [[[1, 4], [2, 1], [4, 6], [12, 2]], 5/393216], [[[1, 4], [2, 1], [4, 6], [16, 1]], 91/35389440], [[[1, 4], [2, 1], [4, 6], [20, 1]], 1/196608], [[[1, 4], [2, 1], [4, 7], [7, 1]], 1/20643840], [[[1, 4], [2, 1], [4, 7], [14, 1]], 1/20643840], [[[1, 4], [2, 1], [4, 8], [5, 1]], 47/629145600], [[[1, 4], [2, 1], [4, 8], [8, 1]], 4217/9059696640], [[[1, 4], [2, 1], [4, 8], [12, 1]], 47/75497472], [[[1, 4], [2, 1], [4, 9], [6, 1]], 109/13589544960], [[[1, 4], [2, 1], [8, 1], [16, 2]], 1/24576], [[[1, 4], [2, 1], [8, 3], [16, 1]], 13/393216], [[[1, 4], [2, 3], [3, 1], [4, 8]], 9281/9059696640], [[[1, 4], [2, 3], [3, 1], [8, 4]], 5/393216], [[[1, 4], [2, 3], [3, 2], [4, 7]], 8009/5096079360], [[[1, 4], [2, 3], [3, 3], [4, 6]], 319/318504960], [[[1, 4], [2, 3], [4, 1], [8, 4]], 55/1048576], [[[1, 4], [2, 3], [4, 1], [16, 2]], 7/24576], [[[1, 4], [2, 3], [4, 3], [8, 3]], 15719/25165824], [[[1, 4], [2, 3], [4, 3], [12, 3]], 11/165888], [[[1, 4], [2, 3], [4, 5], [5, 2]], 3/1638400], [[[1, 4], [2, 3], [4, 5], [8, 2]], 27509/75497472], [[[1, 4], [2, 3], [4, 5], [10, 2]], 1/1638400], [[[1, 4], [2, 3], [4, 5], [12, 2]], 43/221184], [[[1, 4], [2, 3], [4, 5], [16, 1]], 73/1179648], [[[1, 4], [2, 3], [4, 5], [20, 1]], 7/46080], [[[1, 4], [2, 3], [4, 6], [7, 1]], 5107/990904320], [[[1, 4], [2, 3], [4, 6], [14, 1]], 9539/1981808640], [[[1, 4], [2, 3], [4, 7], [5, 1]], 889/314572800], [[[1, 4], [2, 3], [4, 7], [6, 2]], 4757/5096079360], [[[1, 4], [2, 3], [4, 7], [8, 1]], 102547/4529848320], [[[1, 4], [2, 3], [4, 7], [10, 1]], 3193/2831155200], [[[1, 4], [2, 3], [4, 7], [12, 1]], 14867/566231040], [[[1, 4], [2, 3], [4, 8], [6, 1]], 52889/54358179840], [[[1, 4], [2, 3], [7, 1], [8, 3]], 1/28672], [[[1, 4], [2, 3], [8, 3], [14, 1]], 1/28672], [[[1, 4], [2, 5], [3, 1], [4, 7]], 833459/67947724800], [[[1, 4], [2, 5], [3, 2], [4, 6]], 39841/4076863488], [[[1, 4], [2, 5], [3, 2], [8, 3]], 13/14155776], [[[1, 4], [2, 5], [3, 3], [4, 5]], 715/1019215872], [[[1, 4], [2, 5], [3, 4], [4, 4]], 559/3057647616], [[[1, 4], [2, 5], [3, 4], [8, 2]], 1/63700992], [[[1, 4], [2, 5], [4, 2], [8, 3]], 183887/377487360], [[[1, 4], [2, 5], [4, 3], [6, 5]], 7/47775744], [[[1, 4], [2, 5], [4, 4], [5, 2]], 323/47185920], [[[1, 4], [2, 5], [4, 4], [6, 4]], 2659/3057647616], [[[1, 4], [2, 5], [4, 4], [8, 2]], 651253/603979776], [[[1, 4], [2, 5], [4, 4], [10, 2]], 5443/235929600], [[[1, 4], [2, 5], [4, 4], [12, 2]], 4879/21233664], [[[1, 4], [2, 5], [4, 4], [16, 1]], 55/262144], [[[1, 4], [2, 5], [4, 4], [20, 1]], 1327/5898240], [[[1, 4], [2, 5], [4, 5], [6, 3]], 5345/509607936], [[[1, 4], [2, 5], [4, 5], [7, 1]], 2465/66060288], [[[1, 4], [2, 5], [4, 5], [14, 1]], 1429/33030144], [[[1, 4], [2, 5], [4, 6], [5, 1]], 228847/16986931200], [[[1, 4], [2, 5], [4, 6], [6, 2]], 73721/4076863488], [[[1, 4], [2, 5], [4, 6], [8, 1]], 12299887/67947724800], [[[1, 4], [2, 5], [4, 6], [10, 1]], 496879/16986931200], [[[1, 4], [2, 5], [4, 6], [12, 1]], 215209/1358954496], [[[1, 4], [2, 5], [4, 7], [6, 1]], 560329/40768634880], [[[1, 4], [2, 5], [5, 1], [8, 3]], 23/1310720], [[[1, 4], [2, 5], [5, 2], [8, 2]], 1/4915200], [[[1, 4], [2, 5], [6, 2], [8, 3]], 41/2359296], [[[1, 4], [2, 5], [6, 4], [8, 2]], 13/63700992], [[[1, 4], [2, 5], [8, 2], [10, 2]], 13/4915200], [[[1, 4], [2, 5], [8, 2], [16, 1]], 539/5898240], [[[1, 4], [2, 5], [8, 3], [10, 1]], 17/655360], [[[1, 4], [2, 7], [3, 1], [4, 6]], 75599/3774873600], [[[1, 4], [2, 7], [3, 1], [6, 6]], 7/2985984], [[[1, 4], [2, 7], [3, 1], [8, 3]], 839/141557760], [[[1, 4], [2, 7], [3, 1], [10, 3]], 1/64000], [[[1, 4], [2, 7], [3, 2], [4, 5]], 26399/6794772480], [[[1, 4], [2, 7], [3, 2], [6, 5]], 511/8957952], [[[1, 4], [2, 7], [3, 3], [4, 4]], 3983/3822059520], [[[1, 4], [2, 7], [3, 3], [6, 4]], 1163/8957952], [[[1, 4], [2, 7], [3, 3], [8, 2]], 19/159252480], [[[1, 4], [2, 7], [3, 3], [10, 2]], 1/414720], [[[1, 4], [2, 7], [3, 4], [6, 3]], 61/2985984], [[[1, 4], [2, 7], [3, 4], [14, 1]], 1/13934592], [[[1, 4], [2, 7], [4, 1], [6, 6]], 23/35831808], [[[1, 4], [2, 7], [4, 1], [8, 3]], 52549/905969664], [[[1, 4], [2, 7], [4, 1], [10, 3]], 11/512000], [[[1, 4], [2, 7], [4, 2], [6, 5]], 1127/191102976], [[[1, 4], [2, 7], [4, 3], [5, 2]], 1/1152000], [[[1, 4], [2, 7], [4, 3], [6, 4]], 10847/382205952], [[[1, 4], [2, 7], [4, 3], [8, 2]], 6576923/15854469120], [[[1, 4], [2, 7], [4, 3], [10, 2]], 1397/9830400], [[[1, 4], [2, 7], [4, 3], [12, 2]], 16607/557383680], [[[1, 4], [2, 7], [4, 3], [16, 1]], 1979/23592960], [[[1, 4], [2, 7], [4, 3], [20, 1]], 5267/154828800], [[[1, 4], [2, 7], [4, 4], [6, 3]], 195647/3057647616], [[[1, 4], [2, 7], [4, 4], [7, 1]], 2609/110100480], [[[1, 4], [2, 7], [4, 4], [14, 1]], 22763/264241152], [[[1, 4], [2, 7], [4, 5], [5, 1]], 36449/1887436800], [[[1, 4], [2, 7], [4, 5], [6, 2]], 486601/6794772480], [[[1, 4], [2, 7], [4, 5], [8, 1]], 5502449/21743271936], [[[1, 4], [2, 7], [4, 5], [10, 1]], 608773/5662310400], [[[1, 4], [2, 7], [4, 5], [12, 1]], 5357099/35672555520], [[[1, 4], [2, 7], [4, 6], [6, 1]], 8705323/203843174400], [[[1, 4], [2, 7], [5, 1], [6, 5]], 5/1492992], [[[1, 4], [2, 7], [5, 2], [6, 3]], 1/230400], [[[1, 4], [2, 7], [5, 2], [14, 1]], 1/1075200], [[[1, 4], [2, 7], [6, 1], [8, 3]], 23/1048576], [[[1, 4], [2, 7], [6, 1], [10, 3]], 13/2304000], [[[1, 4], [2, 7], [6, 3], [8, 2]], 1313/63700992], [[[1, 4], [2, 7], [6, 3], [10, 2]], 13/4147200], [[[1, 4], [2, 7], [6, 4], [7, 1]], 29/2322432], [[[1, 4], [2, 7], [6, 4], [14, 1]], 13/13934592], [[[1, 4], [2, 7], [6, 5], [8, 1]], 53/23887872], [[[1, 4], [2, 7], [6, 5], [10, 1]], 13/29859840], [[[1, 4], [2, 7], [7, 1], [8, 2]], 3/917504], [[[1, 4], [2, 7], [7, 1], [10, 2]], 1/35840], [[[1, 4], [2, 7], [8, 2], [14, 1]], 19/1376256], [[[1, 4], [2, 7], [10, 2], [14, 1]], 13/1075200], [[[1, 4], [2, 9], [3, 1], [4, 5]], 13693901/2283043553280], [[[1, 4], [2, 9], [3, 1], [6, 5]], 1697/47775744], [[[1, 4], [2, 9], [3, 2], [4, 4]], 2118649/1141521776640], [[[1, 4], [2, 9], [3, 2], [6, 4]], 165703/1433272320], [[[1, 4], [2, 9], [3, 2], [8, 2]], 1177/6794772480], [[[1, 4], [2, 9], [3, 2], [10, 2]], 151/22118400], [[[1, 4], [2, 9], [3, 3], [4, 3]], 71389/428070666240], [[[1, 4], [2, 9], [3, 3], [6, 3]], 11251/358318080], [[[1, 4], [2, 9], [3, 3], [14, 1]], 1/8709120], [[[1, 4], [2, 9], [3, 4], [4, 2]], 2189/142690222080], [[[1, 4], [2, 9], [3, 4], [6, 2]], 29/53084160], [[[1, 4], [2, 9], [3, 4], [10, 1]], 7/238878720], [[[1, 4], [2, 9], [4, 1], [6, 5]], 1093/63700992], [[[1, 4], [2, 9], [4, 2], [5, 2]], 9479/33030144000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 422299/6115295232], [[[1, 4], [2, 9], [4, 2], [8, 2]], 302947/6039797760], [[[1, 4], [2, 9], [4, 2], [10, 2]], 69707/471859200], [[[1, 4], [2, 9], [4, 2], [12, 2]], 13/79626240], [[[1, 4], [2, 9], [4, 2], [16, 1]], 779/247726080], [[[1, 4], [2, 9], [4, 2], [20, 1]], 13/22118400], [[[1, 4], [2, 9], [4, 3], [6, 3]], 361381/3057647616], [[[1, 4], [2, 9], [4, 3], [7, 1]], 2377/1981808640], [[[1, 4], [2, 9], [4, 3], [14, 1]], 1363/17694720], [[[1, 4], [2, 9], [4, 4], [5, 1]], 297133/35232153600], [[[1, 4], [2, 9], [4, 4], [6, 2]], 7989097/81537269760], [[[1, 4], [2, 9], [4, 4], [8, 1]], 124838891/1522029035520], [[[1, 4], [2, 9], [4, 4], [10, 1]], 5725087/67947724800], [[[1, 4], [2, 9], [4, 4], [12, 1]], 7037899/228304355328], [[[1, 4], [2, 9], [4, 5], [6, 1]], 37431491/761014517760], [[[1, 4], [2, 9], [5, 1], [6, 4]], 643/47775744], [[[1, 4], [2, 9], [5, 1], [8, 2]], 29/75497472], [[[1, 4], [2, 9], [5, 1], [10, 2]], 511/18432000], [[[1, 4], [2, 9], [5, 2], [6, 2]], 11/12288000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 47/18432000], [[[1, 4], [2, 9], [6, 2], [8, 2]], 57023/3397386240], [[[1, 4], [2, 9], [6, 2], [10, 2]], 1093/22118400], [[[1, 4], [2, 9], [6, 3], [7, 1]], 31/2322432], [[[1, 4], [2, 9], [6, 3], [14, 1]], 281/13934592], [[[1, 4], [2, 9], [6, 4], [8, 1]], 6473/382205952], [[[1, 4], [2, 9], [6, 4], [10, 1]], 4901/238878720], [[[1, 4], [2, 9], [8, 1], [10, 2]], 721/29491200], [[[1, 4], [2, 9], [8, 1], [16, 1]], 13/35389440], [[[1, 4], [2, 9], [8, 2], [10, 1]], 26609/2831155200], [[[1, 4], [2, 11], [3, 1], [4, 4]], 22214063/13698261319680], [[[1, 4], [2, 11], [3, 1], [5, 2]], 1/2654208000], [[[1, 4], [2, 11], [3, 1], [6, 4]], 72719/1911029760], [[[1, 4], [2, 11], [3, 1], [8, 2]], 76291/570760888320], [[[1, 4], [2, 11], [3, 1], [10, 2]], 6907/1327104000], [[[1, 4], [2, 11], [3, 2], [4, 3]], 2995691/8561413324800], [[[1, 4], [2, 11], [3, 2], [6, 3]], 957031/40131624960], [[[1, 4], [2, 11], [3, 2], [7, 1]], 1/4459069440], [[[1, 4], [2, 11], [3, 2], [14, 1]], 13/70778880], [[[1, 4], [2, 11], [3, 3], [4, 2]], 631/21403533312], [[[1, 4], [2, 11], [3, 3], [5, 1]], 1/9555148800], [[[1, 4], [2, 11], [3, 3], [6, 2]], 24869/26754416640], [[[1, 4], [2, 11], [3, 3], [8, 1]], 43/15288238080], [[[1, 4], [2, 11], [3, 3], [10, 1]], 401/13377208320], [[[1, 4], [2, 11], [3, 4], [6, 1]], 13/5945425920], [[[1, 4], [2, 11], [4, 1], [5, 2]], 43/3538944000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 56569/1528823808], [[[1, 4], [2, 11], [4, 1], [8, 2]], 85223/42278584320], [[[1, 4], [2, 11], [4, 1], [10, 2]], 43753/1179648000], [[[1, 4], [2, 11], [4, 1], [16, 1]], 7/283115520], [[[1, 4], [2, 11], [4, 2], [6, 3]], 2330129/30576476160], [[[1, 4], [2, 11], [4, 2], [7, 1]], 3043/15854469120], [[[1, 4], [2, 11], [4, 2], [14, 1]], 220489/10569646080], [[[1, 4], [2, 11], [4, 3], [5, 1]], 7072117/4756340736000], [[[1, 4], [2, 11], [4, 3], [6, 2]], 21395627/342456532992], [[[1, 4], [2, 11], [4, 3], [8, 1]], 20206643/1522029035520], [[[1, 4], [2, 11], [4, 3], [10, 1]], 28702673/951268147200], [[[1, 4], [2, 11], [4, 3], [12, 1]], 346285/114152177664], [[[1, 4], [2, 11], [4, 4], [6, 1]], 620547517/27396522639360], [[[1, 4], [2, 11], [5, 1], [6, 3]], 14303/2388787200], [[[1, 4], [2, 11], [5, 1], [7, 1]], 1/1238630400], [[[1, 4], [2, 11], [5, 1], [14, 1]], 41/82575360], [[[1, 4], [2, 11], [5, 2], [6, 1]], 13/458752000], [[[1, 4], [2, 11], [6, 1], [8, 2]], 1965287/1141521776640], [[[1, 4], [2, 11], [6, 1], [10, 2]], 9163/294912000], [[[1, 4], [2, 11], [6, 2], [7, 1]], 943/495452160], [[[1, 4], [2, 11], [6, 2], [14, 1]], 14363/743178240], [[[1, 4], [2, 11], [6, 3], [8, 1]], 186161/15288238080], [[[1, 4], [2, 11], [6, 3], [10, 1]], 88049/2388787200], [[[1, 4], [2, 11], [7, 1], [8, 1]], 43/1981808640], [[[1, 4], [2, 11], [7, 1], [10, 1]], 41/82575360], [[[1, 4], [2, 11], [8, 1], [14, 1]], 251/132120576], [[[1, 4], [2, 11], [10, 1], [14, 1]], 5429/619315200], [[[1, 4], [2, 13], [3, 1], [4, 3]], 17809651/68491306598400], [[[1, 4], [2, 13], [3, 1], [6, 3]], 169861/23781703680], [[[1, 4], [2, 13], [3, 1], [7, 1]], 31/178362777600], [[[1, 4], [2, 13], [3, 1], [14, 1]], 2239/17836277760], [[[1, 4], [2, 13], [3, 2], [4, 2]], 325501/11415217766400], [[[1, 4], [2, 13], [3, 2], [5, 1]], 1723/10701766656000], [[[1, 4], [2, 13], [3, 2], [6, 2]], 5231771/6421059993600], [[[1, 4], [2, 13], [3, 2], [8, 1]], 7367/1902536294400], [[[1, 4], [2, 13], [3, 2], [10, 1]], 16589/356725555200], [[[1, 4], [2, 13], [3, 3], [4, 1]], 5359/5136847994880], [[[1, 4], [2, 13], [3, 3], [6, 1]], 52411/6421059993600], [[[1, 4], [2, 13], [4, 1], [6, 3]], 7244971/513684799488], [[[1, 4], [2, 13], [4, 1], [7, 1]], 3373/237817036800], [[[1, 4], [2, 13], [4, 1], [14, 1]], 41803/23781703680], [[[1, 4], [2, 13], [4, 2], [5, 1]], 3601337/28538044416000], [[[1, 4], [2, 13], [4, 2], [6, 2]], 20140741/1369826131968], [[[1, 4], [2, 13], [4, 2], [8, 1]], 8197283/7610145177600], [[[1, 4], [2, 13], [4, 2], [10, 1]], 1128593/211392921600], [[[1, 4], [2, 13], [4, 2], [12, 1]], 2758549/17122826649600], [[[1, 4], [2, 13], [4, 3], [6, 1]], 365214643/68491306598400], [[[1, 4], [2, 13], [5, 1], [6, 2]], 599479/1070176665600], [[[1, 4], [2, 13], [5, 1], [8, 1]], 5359/951268147200], [[[1, 4], [2, 13], [5, 1], [10, 1]], 44399/297271296000], [[[1, 4], [2, 13], [6, 1], [7, 1]], 337/5945425920], [[[1, 4], [2, 13], [6, 1], [14, 1]], 12047/5096079360], [[[1, 4], [2, 13], [6, 2], [8, 1]], 2774839/1712282664960], [[[1, 4], [2, 13], [6, 2], [10, 1]], 21559997/2140353331200], [[[1, 4], [2, 13], [8, 1], [10, 1]], 236939/475634073600], [[[1, 4], [2, 15], [3, 1], [4, 2]], 73699/4280706662400], [[[1, 4], [2, 15], [3, 1], [5, 1]], 11/52848230400], [[[1, 4], [2, 15], [3, 1], [6, 2]], 532457/1712282664960], [[[1, 4], [2, 15], [3, 1], [8, 1]], 72757/34245653299200], [[[1, 4], [2, 15], [3, 1], [10, 1]], 380809/21403533312000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 25657/20547391979520], [[[1, 4], [2, 15], [3, 2], [6, 1]], 22567/3210529996800], [[[1, 4], [2, 15], [4, 1], [5, 1]], 12083/2378170368000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 14281951/11415217766400], [[[1, 4], [2, 15], [4, 1], [8, 1]], 1343819/36528696852480], [[[1, 4], [2, 15], [4, 1], [10, 1]], 4791277/14269022208000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 103/32614907904], [[[1, 4], [2, 15], [4, 2], [6, 1]], 42770993/68491306598400], [[[1, 4], [2, 15], [5, 1], [6, 1]], 14377/1070176665600], [[[1, 4], [2, 15], [6, 1], [8, 1]], 1780379/34245653299200], [[[1, 4], [2, 15], [6, 1], [10, 1]], 6078241/10701766656000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 2773223/5479304527872000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 181627/54793045278720], [[[1, 4], [2, 17], [4, 1], [6, 1]], 4723301/156551557939200], [[[1, 5], [2, 2], [3, 1], [4, 8]], 2171/5435817984], [[[1, 5], [2, 2], [3, 1], [8, 4]], 5/393216], [[[1, 5], [2, 2], [3, 2], [4, 7]], 319/339738624], [[[1, 5], [2, 2], [3, 3], [4, 6]], 349/318504960], [[[1, 5], [2, 2], [3, 3], [8, 3]], 1/442368], [[[1, 5], [2, 2], [3, 4], [4, 5]], 5/14155776], [[[1, 5], [2, 2], [4, 1], [8, 4]], 65/6291456], [[[1, 5], [2, 2], [4, 1], [16, 2]], 1/24576], [[[1, 5], [2, 2], [4, 3], [5, 3]], 1/256000], [[[1, 5], [2, 2], [4, 3], [8, 3]], 5923/75497472], [[[1, 5], [2, 2], [4, 3], [12, 3]], 1/36864], [[[1, 5], [2, 2], [4, 5], [5, 2]], 7/1966080], [[[1, 5], [2, 2], [4, 5], [8, 2]], 8667/83886080], [[[1, 5], [2, 2], [4, 5], [12, 2]], 7/73728], [[[1, 5], [2, 2], [4, 5], [16, 1]], 97/4718592], [[[1, 5], [2, 2], [4, 5], [20, 1]], 3/40960], [[[1, 5], [2, 2], [4, 6], [7, 1]], 2131/990904320], [[[1, 5], [2, 2], [4, 6], [14, 1]], 3047/1981808640], [[[1, 5], [2, 2], [4, 7], [5, 1]], 15119/5662310400], [[[1, 5], [2, 2], [4, 7], [8, 1]], 37109/4529848320], [[[1, 5], [2, 2], [4, 7], [10, 1]], 91/629145600], [[[1, 5], [2, 2], [4, 7], [12, 1]], 4841/377487360], [[[1, 5], [2, 2], [4, 8], [6, 1]], 16901/54358179840], [[[1, 5], [2, 4], [3, 1], [4, 7]], 560329/40768634880], [[[1, 5], [2, 4], [3, 2], [4, 6]], 73721/4076863488], [[[1, 5], [2, 4], [3, 2], [8, 3]], 41/2359296], [[[1, 5], [2, 4], [3, 3], [4, 5]], 5345/509607936], [[[1, 5], [2, 4], [3, 4], [4, 4]], 2659/3057647616], [[[1, 5], [2, 4], [3, 4], [8, 2]], 13/63700992], [[[1, 5], [2, 4], [3, 5], [4, 3]], 7/47775744], [[[1, 5], [2, 4], [4, 2], [8, 3]], 183887/377487360], [[[1, 5], [2, 4], [4, 4], [5, 2]], 5443/235929600], [[[1, 5], [2, 4], [4, 4], [6, 4]], 559/3057647616], [[[1, 5], [2, 4], [4, 4], [8, 2]], 651253/603979776], [[[1, 5], [2, 4], [4, 4], [10, 2]], 323/47185920], [[[1, 5], [2, 4], [4, 4], [12, 2]], 4879/21233664], [[[1, 5], [2, 4], [4, 4], [16, 1]], 55/262144], [[[1, 5], [2, 4], [4, 4], [20, 1]], 1327/5898240], [[[1, 5], [2, 4], [4, 5], [6, 3]], 715/1019215872], [[[1, 5], [2, 4], [4, 5], [7, 1]], 1429/33030144], [[[1, 5], [2, 4], [4, 5], [14, 1]], 2465/66060288], [[[1, 5], [2, 4], [4, 6], [5, 1]], 496879/16986931200], [[[1, 5], [2, 4], [4, 6], [6, 2]], 39841/4076863488], [[[1, 5], [2, 4], [4, 6], [8, 1]], 12299887/67947724800], [[[1, 5], [2, 4], [4, 6], [10, 1]], 228847/16986931200], [[[1, 5], [2, 4], [4, 6], [12, 1]], 215209/1358954496], [[[1, 5], [2, 4], [4, 7], [6, 1]], 833459/67947724800], [[[1, 5], [2, 4], [5, 1], [8, 3]], 17/655360], [[[1, 5], [2, 4], [5, 2], [8, 2]], 13/4915200], [[[1, 5], [2, 4], [6, 2], [8, 3]], 13/14155776], [[[1, 5], [2, 4], [6, 4], [8, 2]], 1/63700992], [[[1, 5], [2, 4], [8, 2], [10, 2]], 1/4915200], [[[1, 5], [2, 4], [8, 2], [16, 1]], 539/5898240], [[[1, 5], [2, 4], [8, 3], [10, 1]], 23/1310720], [[[1, 5], [2, 6], [3, 1], [4, 6]], 6840979/101921587200], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/8957952], [[[1, 5], [2, 6], [3, 1], [8, 3]], 521/28311552], [[[1, 5], [2, 6], [3, 1], [10, 3]], 1/192000], [[[1, 5], [2, 6], [3, 2], [4, 5]], 300869/6794772480], [[[1, 5], [2, 6], [3, 2], [6, 5]], 241/8957952], [[[1, 5], [2, 6], [3, 3], [4, 4]], 30473/3822059520], [[[1, 5], [2, 6], [3, 3], [6, 4]], 2009/8957952], [[[1, 5], [2, 6], [3, 3], [8, 2]], 259/159252480], [[[1, 5], [2, 6], [3, 3], [10, 2]], 23/2073600], [[[1, 5], [2, 6], [3, 4], [4, 3]], 6293/3822059520], [[[1, 5], [2, 6], [3, 4], [6, 3]], 427/2985984], [[[1, 5], [2, 6], [3, 4], [14, 1]], 13/13934592], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/497664], [[[1, 5], [2, 6], [3, 5], [8, 1]], 1/47775744], [[[1, 5], [2, 6], [4, 1], [5, 3]], 1/3072000], [[[1, 5], [2, 6], [4, 1], [8, 3]], 653651/4529848320], [[[1, 5], [2, 6], [4, 1], [10, 3]], 13/3072000], [[[1, 5], [2, 6], [4, 2], [6, 5]], 275/191102976], [[[1, 5], [2, 6], [4, 3], [5, 2]], 7193/294912000], [[[1, 5], [2, 6], [4, 3], [6, 4]], 34553/3822059520], [[[1, 5], [2, 6], [4, 3], [8, 2]], 5488253/4529848320], [[[1, 5], [2, 6], [4, 3], [10, 2]], 26573/294912000], [[[1, 5], [2, 6], [4, 3], [12, 2]], 823/10616832], [[[1, 5], [2, 6], [4, 3], [16, 1]], 785/3145728], [[[1, 5], [2, 6], [4, 3], [20, 1]], 59/589824], [[[1, 5], [2, 6], [4, 4], [6, 3]], 136307/3057647616], [[[1, 5], [2, 6], [4, 4], [7, 1]], 4627/47185920], [[[1, 5], [2, 6], [4, 4], [14, 1]], 35435/264241152], [[[1, 5], [2, 6], [4, 5], [5, 1]], 775759/11324620800], [[[1, 5], [2, 6], [4, 5], [6, 2]], 204331/2264924160], [[[1, 5], [2, 6], [4, 5], [8, 1]], 64806967/108716359680], [[[1, 5], [2, 6], [4, 5], [10, 1]], 1461223/11324620800], [[[1, 5], [2, 6], [4, 5], [12, 1]], 445805/1358954496], [[[1, 5], [2, 6], [4, 6], [6, 1]], 16459499/203843174400], [[[1, 5], [2, 6], [5, 1], [6, 5]], 7/7464960], [[[1, 5], [2, 6], [5, 2], [6, 3]], 1/76800], [[[1, 5], [2, 6], [5, 2], [14, 1]], 13/1075200], [[[1, 5], [2, 6], [6, 1], [8, 3]], 869/28311552], [[[1, 5], [2, 6], [6, 1], [10, 3]], 1/2304000], [[[1, 5], [2, 6], [6, 3], [8, 2]], 653/63700992], [[[1, 5], [2, 6], [6, 3], [10, 2]], 1/4147200], [[[1, 5], [2, 6], [6, 4], [7, 1]], 13/2322432], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/13934592], [[[1, 5], [2, 6], [6, 5], [8, 1]], 13/47775744], [[[1, 5], [2, 6], [6, 5], [10, 1]], 1/29859840], [[[1, 5], [2, 6], [7, 1], [8, 2]], 23/917504], [[[1, 5], [2, 6], [7, 1], [10, 2]], 1/35840], [[[1, 5], [2, 6], [8, 2], [14, 1]], 43/1376256], [[[1, 5], [2, 6], [10, 2], [14, 1]], 1/1075200], [[[1, 5], [2, 8], [3, 1], [4, 5]], 2998169/54358179840], [[[1, 5], [2, 8], [3, 1], [6, 5]], 371/15925248], [[[1, 5], [2, 8], [3, 2], [4, 4]], 1384465/76101451776], [[[1, 5], [2, 8], [3, 2], [6, 4]], 54605/286654464], [[[1, 5], [2, 8], [3, 2], [8, 2]], 18083/6794772480], [[[1, 5], [2, 8], [3, 2], [10, 2]], 31/1474560], [[[1, 5], [2, 8], [3, 3], [4, 3]], 57437/15288238080], [[[1, 5], [2, 8], [3, 3], [6, 3]], 60529/358318080], [[[1, 5], [2, 8], [3, 3], [14, 1]], 1/544320], [[[1, 5], [2, 8], [3, 4], [4, 2]], 7393/28538044416], [[[1, 5], [2, 8], [3, 4], [6, 2]], 5507/477757440], [[[1, 5], [2, 8], [3, 4], [8, 1]], 11/212336640], [[[1, 5], [2, 8], [3, 4], [10, 1]], 109/238878720], [[[1, 5], [2, 8], [3, 5], [4, 1]], 7/573308928], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/15925248], [[[1, 5], [2, 8], [4, 1], [6, 5]], 8197/955514880], [[[1, 5], [2, 8], [4, 2], [5, 2]], 160847/33030144000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 328315/6115295232], [[[1, 5], [2, 8], [4, 2], [8, 2]], 627787/2642411520], [[[1, 5], [2, 8], [4, 2], [10, 2]], 85963/471859200], [[[1, 5], [2, 8], [4, 2], [12, 2]], 533/557383680], [[[1, 5], [2, 8], [4, 2], [16, 1]], 3631/123863040], [[[1, 5], [2, 8], [4, 2], [20, 1]], 533/154828800], [[[1, 5], [2, 8], [4, 3], [6, 3]], 4794893/30576476160], [[[1, 5], [2, 8], [4, 3], [7, 1]], 1901/61931520], [[[1, 5], [2, 8], [4, 3], [14, 1]], 11497/66060288], [[[1, 5], [2, 8], [4, 4], [5, 1]], 16685947/317089382400], [[[1, 5], [2, 8], [4, 4], [6, 2]], 3443987/16307453952], [[[1, 5], [2, 8], [4, 4], [8, 1]], 226820993/543581798400], [[[1, 5], [2, 8], [4, 4], [10, 1]], 646921/2717908992], [[[1, 5], [2, 8], [4, 4], [12, 1]], 162862579/1141521776640], [[[1, 5], [2, 8], [4, 5], [6, 1]], 7903613/54358179840], [[[1, 5], [2, 8], [5, 1], [6, 4]], 3989/238878720], [[[1, 5], [2, 8], [5, 1], [8, 2]], 1747/377487360], [[[1, 5], [2, 8], [5, 1], [10, 2]], 1861/18432000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 343/36864000], [[[1, 5], [2, 8], [5, 2], [8, 1]], 7/29491200], [[[1, 5], [2, 8], [5, 2], [10, 1]], 629/18432000], [[[1, 5], [2, 8], [6, 2], [8, 2]], 100541/3397386240], [[[1, 5], [2, 8], [6, 2], [10, 2]], 169/7372800], [[[1, 5], [2, 8], [6, 3], [7, 1]], 55/2322432], [[[1, 5], [2, 8], [6, 3], [14, 1]], 125/13934592], [[[1, 5], [2, 8], [6, 4], [8, 1]], 4553/382205952], [[[1, 5], [2, 8], [6, 4], [10, 1]], 1823/238878720], [[[1, 5], [2, 8], [8, 1], [10, 2]], 263/9830400], [[[1, 5], [2, 8], [8, 1], [16, 1]], 533/247726080], [[[1, 5], [2, 8], [8, 2], [10, 1]], 63563/2831155200], [[[1, 5], [2, 10], [3, 1], [4, 4]], 225860267/13698261319680], [[[1, 5], [2, 10], [3, 1], [5, 2]], 43/2654208000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 124681/1911029760], [[[1, 5], [2, 10], [3, 1], [8, 2]], 648583/570760888320], [[[1, 5], [2, 10], [3, 1], [10, 2]], 23059/1327104000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 373463/81537269760], [[[1, 5], [2, 10], [3, 2], [6, 3]], 1951727/20065812480], [[[1, 5], [2, 10], [3, 2], [7, 1]], 43/4459069440], [[[1, 5], [2, 10], [3, 2], [14, 1]], 2539/1486356480], [[[1, 5], [2, 10], [3, 3], [4, 2]], 66293/107017666560], [[[1, 5], [2, 10], [3, 3], [5, 1]], 43/9555148800], [[[1, 5], [2, 10], [3, 3], [6, 2]], 305399/26754416640], [[[1, 5], [2, 10], [3, 3], [8, 1]], 3869/53508833280], [[[1, 5], [2, 10], [3, 3], [10, 1]], 39469/66886041600], [[[1, 5], [2, 10], [3, 4], [4, 1]], 425/18345885696], [[[1, 5], [2, 10], [3, 4], [6, 1]], 6617/53508833280], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1031/3303014400], [[[1, 5], [2, 10], [4, 1], [6, 4]], 719617/15288238080], [[[1, 5], [2, 10], [4, 1], [8, 2]], 493741/36238786560], [[[1, 5], [2, 10], [4, 1], [10, 2]], 3371/47185920], [[[1, 5], [2, 10], [4, 1], [16, 1]], 13/35389440], [[[1, 5], [2, 10], [4, 2], [6, 3]], 4433177/30576476160], [[[1, 5], [2, 10], [4, 2], [7, 1]], 52331/15854469120], [[[1, 5], [2, 10], [4, 2], [14, 1]], 2022631/31708938240], [[[1, 5], [2, 10], [4, 3], [5, 1]], 25323883/1902536294400], [[[1, 5], [2, 10], [4, 3], [6, 2]], 38863183/203843174400], [[[1, 5], [2, 10], [4, 3], [8, 1]], 44369743/507343011840], [[[1, 5], [2, 10], [4, 3], [10, 1]], 168263597/1358954496000], [[[1, 5], [2, 10], [4, 3], [12, 1]], 21622537/1141521776640], [[[1, 5], [2, 10], [4, 4], [6, 1]], 422258887/3913788948480], [[[1, 5], [2, 10], [5, 1], [6, 3]], 43463/2388787200], [[[1, 5], [2, 10], [5, 1], [7, 1]], 43/1238630400], [[[1, 5], [2, 10], [5, 1], [14, 1]], 251/82575360], [[[1, 5], [2, 10], [5, 2], [6, 1]], 2749/4128768000], [[[1, 5], [2, 10], [6, 1], [8, 2]], 8006819/1141521776640], [[[1, 5], [2, 10], [6, 1], [10, 2]], 34613/884736000], [[[1, 5], [2, 10], [6, 2], [7, 1]], 4301/495452160], [[[1, 5], [2, 10], [6, 2], [14, 1]], 17921/743178240], [[[1, 5], [2, 10], [6, 3], [8, 1]], 84329/3822059520], [[[1, 5], [2, 10], [6, 3], [10, 1]], 45859/1194393600], [[[1, 5], [2, 10], [7, 1], [8, 1]], 41/132120576], [[[1, 5], [2, 10], [7, 1], [10, 1]], 251/82575360], [[[1, 5], [2, 10], [8, 1], [14, 1]], 5429/990904320], [[[1, 5], [2, 10], [10, 1], [14, 1]], 8903/619315200], [[[1, 5], [2, 12], [3, 1], [4, 3]], 29281711/9784472371200], [[[1, 5], [2, 12], [3, 1], [6, 3]], 32775161/1284211998720], [[[1, 5], [2, 12], [3, 1], [7, 1]], 1411/178362777600], [[[1, 5], [2, 12], [3, 1], [14, 1]], 2341/2548039680], [[[1, 5], [2, 12], [3, 2], [4, 2]], 6246109/11415217766400], [[[1, 5], [2, 12], [3, 2], [5, 1]], 78343/10701766656000], [[[1, 5], [2, 12], [3, 2], [6, 2]], 9047671/1284211998720], [[[1, 5], [2, 12], [3, 2], [8, 1]], 37477/570760888320], [[[1, 5], [2, 12], [3, 2], [10, 1]], 32801/71345111040], [[[1, 5], [2, 12], [3, 3], [4, 1]], 127513/4280706662400], [[[1, 5], [2, 12], [3, 3], [6, 1]], 552683/3210529996800], [[[1, 5], [2, 12], [4, 1], [6, 3]], 318128351/8561413324800], [[[1, 5], [2, 12], [4, 1], [7, 1]], 5491/23781703680], [[[1, 5], [2, 12], [4, 1], [14, 1]], 337391/47563407360], [[[1, 5], [2, 12], [4, 2], [5, 1]], 43730849/28538044416000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 402762761/6849130659840], [[[1, 5], [2, 12], [4, 2], [8, 1]], 1001443/120795955200], [[[1, 5], [2, 12], [4, 2], [10, 1]], 50133473/1902536294400], [[[1, 5], [2, 12], [4, 2], [12, 1]], 2845999/2446118092800], [[[1, 5], [2, 12], [4, 3], [6, 1]], 2305900873/68491306598400], [[[1, 5], [2, 12], [5, 1], [6, 2]], 3608287/1070176665600], [[[1, 5], [2, 12], [5, 1], [8, 1]], 44131/475634073600], [[[1, 5], [2, 12], [5, 1], [10, 1]], 354119/297271296000], [[[1, 5], [2, 12], [6, 1], [7, 1]], 2981/5945425920], [[[1, 5], [2, 12], [6, 1], [14, 1]], 32219/5096079360], [[[1, 5], [2, 12], [6, 2], [8, 1]], 4216945/684913065984], [[[1, 5], [2, 12], [6, 2], [10, 1]], 47649353/2140353331200], [[[1, 5], [2, 12], [8, 1], [10, 1]], 2209337/951268147200], [[[1, 5], [2, 14], [3, 1], [4, 2]], 4195183/17122826649600], [[[1, 5], [2, 14], [3, 1], [5, 1]], 10279/2378170368000], [[[1, 5], [2, 14], [3, 1], [6, 2]], 5792309/2853804441600], [[[1, 5], [2, 14], [3, 1], [8, 1]], 2161/89181388800], [[[1, 5], [2, 14], [3, 1], [10, 1]], 3877813/21403533312000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 865009/34245653299200], [[[1, 5], [2, 14], [3, 2], [6, 1]], 1339213/12842119987200], [[[1, 5], [2, 14], [4, 1], [5, 1]], 354299/4756340736000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 209089471/34245653299200], [[[1, 5], [2, 14], [4, 1], [8, 1]], 20135863/60881161420800], [[[1, 5], [2, 14], [4, 1], [10, 1]], 7065361/3567255552000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 64207/2446118092800], [[[1, 5], [2, 14], [4, 2], [6, 1]], 313373441/68491306598400], [[[1, 5], [2, 14], [5, 1], [6, 1]], 744581/5350883328000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 6007471/17122826649600], [[[1, 5], [2, 14], [6, 1], [10, 1]], 24807637/10701766656000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 1006339/117413668454400], [[[1, 5], [2, 16], [3, 1], [6, 1]], 357049/9784472371200], [[[1, 5], [2, 16], [4, 1], [6, 1]], 334562587/1369826131968000], [[[1, 5], [3, 1], [4, 3], [8, 3]], 13/2359296], [[[1, 5], [3, 1], [4, 7], [8, 1]], 197/1698693120], [[[1, 5], [3, 2], [4, 4], [8, 2]], 23/9437184], [[[1, 5], [3, 2], [4, 4], [12, 2]], 1/331776], [[[1, 5], [3, 2], [4, 4], [20, 1]], 1/92160], [[[1, 5], [3, 2], [4, 6], [5, 1]], 1/35389440], [[[1, 5], [3, 2], [4, 6], [12, 1]], 11/10616832], [[[1, 5], [3, 3], [4, 1], [8, 3]], 1/442368], [[[1, 5], [3, 3], [4, 5], [8, 1]], 7/21233664], [[[1, 5], [3, 4], [4, 2], [8, 2]], 1/5308416], [[[1, 5], [3, 4], [4, 4], [12, 1]], 1/1990656], [[[1, 5], [4, 2], [5, 2], [8, 2]], 1/409600], [[[1, 5], [4, 2], [8, 2], [12, 2]], 1/884736], [[[1, 5], [4, 2], [8, 2], [20, 1]], 1/245760], [[[1, 5], [4, 4], [5, 1], [8, 2]], 41/7864320], [[[1, 5], [4, 4], [5, 1], [12, 2]], 1/92160], [[[1, 5], [4, 4], [5, 1], [20, 1]], 1/25600], [[[1, 5], [4, 4], [5, 2], [12, 1]], 1/153600], [[[1, 5], [4, 4], [8, 1], [16, 1]], 1/1572864], [[[1, 5], [4, 4], [8, 2], [12, 1]], 43/14155776], [[[1, 5], [4, 4], [12, 1], [20, 1]], 1/30720], [[[1, 5], [4, 5], [7, 1], [8, 1]], 1/917504], [[[1, 5], [4, 6], [5, 1], [12, 1]], 11/2949120], [[[1, 6], [2, 1], [3, 1], [4, 8]], 269/6039797760], [[[1, 6], [2, 1], [3, 2], [4, 7]], 511/1698693120], [[[1, 6], [2, 1], [3, 3], [4, 6]], 35/254803968], [[[1, 6], [2, 1], [3, 3], [8, 3]], 1/442368], [[[1, 6], [2, 1], [3, 4], [4, 5]], 5/14155776], [[[1, 6], [2, 1], [3, 5], [4, 4]], 7/95551488], [[[1, 6], [2, 1], [3, 5], [8, 2]], 1/1990656], [[[1, 6], [2, 1], [4, 1], [8, 4]], 5/6291456], [[[1, 6], [2, 1], [4, 3], [5, 3]], 1/256000], [[[1, 6], [2, 1], [4, 3], [8, 3]], 37/8388608], [[[1, 6], [2, 1], [4, 3], [12, 3]], 1/331776], [[[1, 6], [2, 1], [4, 5], [5, 2]], 23/9830400], [[[1, 6], [2, 1], [4, 5], [8, 2]], 781/251658240], [[[1, 6], [2, 1], [4, 5], [12, 2]], 1/55296], [[[1, 6], [2, 1], [4, 5], [16, 1]], 1/1572864], [[[1, 6], [2, 1], [4, 5], [20, 1]], 1/73728], [[[1, 6], [2, 1], [4, 6], [7, 1]], 5/14680064], [[[1, 6], [2, 1], [4, 7], [5, 1]], 967/1132462080], [[[1, 6], [2, 1], [4, 7], [8, 1]], 40367/67947724800], [[[1, 6], [2, 1], [4, 7], [10, 1]], 151/5662310400], [[[1, 6], [2, 1], [4, 7], [12, 1]], 2767/1132462080], [[[1, 6], [2, 3], [3, 1], [4, 7]], 254137/40768634880], [[[1, 6], [2, 3], [3, 2], [4, 6]], 83419/6794772480], [[[1, 6], [2, 3], [3, 2], [8, 3]], 49/2359296], [[[1, 6], [2, 3], [3, 3], [4, 5]], 6521/509607936], [[[1, 6], [2, 3], [3, 4], [4, 4]], 2819/509607936], [[[1, 6], [2, 3], [3, 4], [8, 2]], 5/1179648], [[[1, 6], [2, 3], [3, 5], [4, 3]], 25/47775744], [[[1, 6], [2, 3], [3, 5], [14, 1]], 1/435456], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/23887872], [[[1, 6], [2, 3], [4, 2], [5, 3]], 13/512000], [[[1, 6], [2, 3], [4, 2], [8, 3]], 46849/377487360], [[[1, 6], [2, 3], [4, 4], [5, 2]], 1507/39321600], [[[1, 6], [2, 3], [4, 4], [8, 2]], 247909/754974720], [[[1, 6], [2, 3], [4, 4], [12, 2]], 1783/17694720], [[[1, 6], [2, 3], [4, 4], [16, 1]], 181/2359296], [[[1, 6], [2, 3], [4, 4], [20, 1]], 463/4915200], [[[1, 6], [2, 3], [4, 5], [6, 3]], 103/1019215872], [[[1, 6], [2, 3], [4, 5], [7, 1]], 709/33030144], [[[1, 6], [2, 3], [4, 5], [14, 1]], 725/66060288], [[[1, 6], [2, 3], [4, 6], [5, 1]], 24529/943718400], [[[1, 6], [2, 3], [4, 6], [6, 2]], 27731/101921587200], [[[1, 6], [2, 3], [4, 6], [8, 1]], 1656163/22649241600], [[[1, 6], [2, 3], [4, 6], [10, 1]], 245/84934656], [[[1, 6], [2, 3], [4, 6], [12, 1]], 21329/283115520], [[[1, 6], [2, 3], [4, 7], [6, 1]], 254227/67947724800], [[[1, 6], [2, 3], [5, 1], [8, 3]], 9/655360], [[[1, 6], [2, 3], [5, 2], [8, 2]], 1/163840], [[[1, 6], [2, 3], [6, 2], [8, 3]], 1/14155776], [[[1, 6], [2, 3], [8, 2], [16, 1]], 61/1966080], [[[1, 6], [2, 3], [8, 3], [10, 1]], 3/1310720], [[[1, 6], [2, 5], [3, 1], [4, 6]], 16459499/203843174400], [[[1, 6], [2, 5], [3, 1], [5, 3]], 1/2304000], [[[1, 6], [2, 5], [3, 1], [8, 3]], 869/28311552], [[[1, 6], [2, 5], [3, 2], [4, 5]], 204331/2264924160], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/497664], [[[1, 6], [2, 5], [3, 3], [4, 4]], 136307/3057647616], [[[1, 6], [2, 5], [3, 3], [5, 2]], 1/4147200], [[[1, 6], [2, 5], [3, 3], [6, 4]], 427/2985984], [[[1, 6], [2, 5], [3, 3], [8, 2]], 653/63700992], [[[1, 6], [2, 5], [3, 3], [10, 2]], 1/76800], [[[1, 6], [2, 5], [3, 4], [4, 3]], 34553/3822059520], [[[1, 6], [2, 5], [3, 4], [6, 3]], 2009/8957952], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/13934592], [[[1, 6], [2, 5], [3, 4], [14, 1]], 13/2322432], [[[1, 6], [2, 5], [3, 5], [4, 2]], 275/191102976], [[[1, 6], [2, 5], [3, 5], [5, 1]], 1/29859840], [[[1, 6], [2, 5], [3, 5], [6, 2]], 241/8957952], [[[1, 6], [2, 5], [3, 5], [8, 1]], 13/47775744], [[[1, 6], [2, 5], [3, 5], [10, 1]], 7/7464960], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/8957952], [[[1, 6], [2, 5], [4, 1], [5, 3]], 13/3072000], [[[1, 6], [2, 5], [4, 1], [8, 3]], 653651/4529848320], [[[1, 6], [2, 5], [4, 1], [10, 3]], 1/3072000], [[[1, 6], [2, 5], [4, 3], [5, 2]], 26573/294912000], [[[1, 6], [2, 5], [4, 3], [6, 4]], 6293/3822059520], [[[1, 6], [2, 5], [4, 3], [8, 2]], 5488253/4529848320], [[[1, 6], [2, 5], [4, 3], [10, 2]], 7193/294912000], [[[1, 6], [2, 5], [4, 3], [12, 2]], 823/10616832], [[[1, 6], [2, 5], [4, 3], [16, 1]], 785/3145728], [[[1, 6], [2, 5], [4, 3], [20, 1]], 59/589824], [[[1, 6], [2, 5], [4, 4], [6, 3]], 30473/3822059520], [[[1, 6], [2, 5], [4, 4], [7, 1]], 35435/264241152], [[[1, 6], [2, 5], [4, 4], [14, 1]], 4627/47185920], [[[1, 6], [2, 5], [4, 5], [5, 1]], 1461223/11324620800], [[[1, 6], [2, 5], [4, 5], [6, 2]], 300869/6794772480], [[[1, 6], [2, 5], [4, 5], [8, 1]], 64806967/108716359680], [[[1, 6], [2, 5], [4, 5], [10, 1]], 775759/11324620800], [[[1, 6], [2, 5], [4, 5], [12, 1]], 445805/1358954496], [[[1, 6], [2, 5], [4, 6], [6, 1]], 6840979/101921587200], [[[1, 6], [2, 5], [5, 2], [6, 3]], 23/2073600], [[[1, 6], [2, 5], [5, 2], [7, 1]], 1/1075200], [[[1, 6], [2, 5], [5, 2], [14, 1]], 1/35840], [[[1, 6], [2, 5], [5, 3], [6, 1]], 1/192000], [[[1, 6], [2, 5], [6, 1], [8, 3]], 521/28311552], [[[1, 6], [2, 5], [6, 3], [8, 2]], 259/159252480], [[[1, 6], [2, 5], [6, 4], [7, 1]], 13/13934592], [[[1, 6], [2, 5], [6, 5], [8, 1]], 1/47775744], [[[1, 6], [2, 5], [7, 1], [8, 2]], 43/1376256], [[[1, 6], [2, 5], [7, 1], [10, 2]], 13/1075200], [[[1, 6], [2, 5], [8, 2], [14, 1]], 23/917504], [[[1, 6], [2, 7], [3, 1], [4, 5]], 9623279/54358179840], [[[1, 6], [2, 7], [3, 1], [6, 5]], 5387/716636160], [[[1, 6], [2, 7], [3, 2], [4, 4]], 2838887/27179089920], [[[1, 6], [2, 7], [3, 2], [5, 2]], 109/331776000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 14851/95551488], [[[1, 6], [2, 7], [3, 2], [8, 2]], 13753/1132462080], [[[1, 6], [2, 7], [3, 2], [10, 2]], 769/22118400], [[[1, 6], [2, 7], [3, 3], [4, 3]], 410921/15288238080], [[[1, 6], [2, 7], [3, 3], [6, 3]], 3073/7962624], [[[1, 6], [2, 7], [3, 3], [7, 1]], 1/8709120], [[[1, 6], [2, 7], [3, 3], [14, 1]], 125/13934592], [[[1, 6], [2, 7], [3, 4], [4, 2]], 11747/3057647616], [[[1, 6], [2, 7], [3, 4], [5, 1]], 109/1194393600], [[[1, 6], [2, 7], [3, 4], [6, 2]], 29921/477757440], [[[1, 6], [2, 7], [3, 4], [8, 1]], 523/637009920], [[[1, 6], [2, 7], [3, 4], [10, 1]], 223/79626240], [[[1, 6], [2, 7], [3, 5], [4, 1]], 109/573308928], [[[1, 6], [2, 7], [3, 5], [6, 1]], 857/716636160], [[[1, 6], [2, 7], [4, 1], [6, 5]], 203/106168320], [[[1, 6], [2, 7], [4, 2], [5, 2]], 115589/3538944000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 328459/15288238080], [[[1, 6], [2, 7], [4, 2], [8, 2]], 75140507/135895449600], [[[1, 6], [2, 7], [4, 2], [10, 2]], 387401/3538944000], [[[1, 6], [2, 7], [4, 2], [12, 2]], 737/318504960], [[[1, 6], [2, 7], [4, 2], [16, 1]], 57/524288], [[[1, 6], [2, 7], [4, 2], [20, 1]], 737/88473600], [[[1, 6], [2, 7], [4, 3], [6, 3]], 2912957/30576476160], [[[1, 6], [2, 7], [4, 3], [7, 1]], 17251/123863040], [[[1, 6], [2, 7], [4, 3], [14, 1]], 2095/9437184], [[[1, 6], [2, 7], [4, 4], [5, 1]], 2290037/13589544960], [[[1, 6], [2, 7], [4, 4], [6, 2]], 6047881/27179089920], [[[1, 6], [2, 7], [4, 4], [8, 1]], 507182803/543581798400], [[[1, 6], [2, 7], [4, 4], [10, 1]], 19636507/67947724800], [[[1, 6], [2, 7], [4, 4], [12, 1]], 61948543/203843174400], [[[1, 6], [2, 7], [4, 5], [6, 1]], 12580531/54358179840], [[[1, 6], [2, 7], [5, 1], [6, 4]], 259/26542080], [[[1, 6], [2, 7], [5, 1], [8, 2]], 53609/2831155200], [[[1, 6], [2, 7], [5, 1], [10, 2]], 3/16384], [[[1, 6], [2, 7], [5, 2], [6, 2]], 41/1474560], [[[1, 6], [2, 7], [5, 2], [8, 1]], 109/29491200], [[[1, 6], [2, 7], [5, 2], [10, 1]], 281/2048000], [[[1, 6], [2, 7], [6, 2], [8, 2]], 29923/1132462080], [[[1, 6], [2, 7], [6, 2], [10, 2]], 1699/331776000], [[[1, 6], [2, 7], [6, 3], [7, 1]], 281/13934592], [[[1, 6], [2, 7], [6, 3], [14, 1]], 1/544320], [[[1, 6], [2, 7], [6, 4], [8, 1]], 1667/382205952], [[[1, 6], [2, 7], [6, 4], [10, 1]], 1699/1194393600], [[[1, 6], [2, 7], [8, 1], [10, 2]], 149/9830400], [[[1, 6], [2, 7], [8, 1], [16, 1]], 157/28311552], [[[1, 6], [2, 7], [8, 2], [10, 1]], 83363/2831155200], [[[1, 6], [2, 9], [3, 1], [4, 4]], 830434483/9132174213120], [[[1, 6], [2, 9], [3, 1], [5, 2]], 1279/4128768000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 746639/11466178560], [[[1, 6], [2, 9], [3, 1], [8, 2]], 97549/18119393280], [[[1, 6], [2, 9], [3, 1], [10, 2]], 26891/884736000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 19067333/570760888320], [[[1, 6], [2, 9], [3, 2], [6, 3]], 80363/382205952], [[[1, 6], [2, 9], [3, 2], [7, 1]], 13/70778880], [[[1, 6], [2, 9], [3, 2], [14, 1]], 1853/247726080], [[[1, 6], [2, 9], [3, 3], [4, 2]], 831619/142690222080], [[[1, 6], [2, 9], [3, 3], [5, 1]], 1439/11147673600], [[[1, 6], [2, 9], [3, 3], [6, 2]], 6691/106168320], [[[1, 6], [2, 9], [3, 3], [8, 1]], 23197/26754416640], [[[1, 6], [2, 9], [3, 3], [10, 1]], 9407/2388787200], [[[1, 6], [2, 9], [3, 4], [4, 1]], 41461/91729428480], [[[1, 6], [2, 9], [3, 4], [6, 1]], 2117/1114767360], [[[1, 6], [2, 9], [4, 1], [5, 2]], 61687/16515072000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 104557/3057647616], [[[1, 6], [2, 9], [4, 1], [8, 2]], 1822033/36238786560], [[[1, 6], [2, 9], [4, 1], [10, 2]], 10439/131072000], [[[1, 6], [2, 9], [4, 1], [16, 1]], 191/61931520], [[[1, 6], [2, 9], [4, 2], [6, 3]], 11785159/76441190400], [[[1, 6], [2, 9], [4, 2], [7, 1]], 38447/1509949440], [[[1, 6], [2, 9], [4, 2], [14, 1]], 13380023/118908518400], [[[1, 6], [2, 9], [4, 3], [5, 1]], 130937623/1902536294400], [[[1, 6], [2, 9], [4, 3], [6, 2]], 61785283/203843174400], [[[1, 6], [2, 9], [4, 3], [8, 1]], 803180971/2536715059200], [[[1, 6], [2, 9], [4, 3], [10, 1]], 358171457/1358954496000], [[[1, 6], [2, 9], [4, 3], [12, 1]], 75312637/1141521776640], [[[1, 6], [2, 9], [4, 4], [6, 1]], 434013941/1630745395200], [[[1, 6], [2, 9], [5, 1], [6, 3]], 563/19660800], [[[1, 6], [2, 9], [5, 1], [7, 1]], 41/82575360], [[[1, 6], [2, 9], [5, 1], [14, 1]], 5429/619315200], [[[1, 6], [2, 9], [5, 2], [6, 1]], 2281/442368000], [[[1, 6], [2, 9], [6, 1], [8, 2]], 1063921/67947724800], [[[1, 6], [2, 9], [6, 1], [10, 2]], 19289/663552000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 14363/743178240], [[[1, 6], [2, 9], [6, 2], [14, 1]], 487/27525120], [[[1, 6], [2, 9], [6, 3], [8, 1]], 42559/1911029760], [[[1, 6], [2, 9], [6, 3], [10, 1]], 112781/4777574400], [[[1, 6], [2, 9], [7, 1], [8, 1]], 251/132120576], [[[1, 6], [2, 9], [7, 1], [10, 1]], 5429/619315200], [[[1, 6], [2, 9], [8, 1], [14, 1]], 8903/990904320], [[[1, 6], [2, 9], [10, 1], [14, 1]], 8903/619315200], [[[1, 6], [2, 11], [3, 1], [4, 3]], 1368842113/68491306598400], [[[1, 6], [2, 11], [3, 1], [6, 3]], 344317681/6421059993600], [[[1, 6], [2, 11], [3, 1], [7, 1]], 2239/17836277760], [[[1, 6], [2, 11], [3, 1], [14, 1]], 41767/11890851840], [[[1, 6], [2, 11], [3, 2], [4, 2]], 3789053/761014517760], [[[1, 6], [2, 11], [3, 2], [5, 1]], 45121/356725555200], [[[1, 6], [2, 11], [3, 2], [6, 2]], 9239873/285380444160], [[[1, 6], [2, 11], [3, 2], [8, 1]], 316549/570760888320], [[[1, 6], [2, 11], [3, 2], [10, 1]], 631969/237817036800], [[[1, 6], [2, 11], [3, 3], [4, 1]], 1869593/4280706662400], [[[1, 6], [2, 11], [3, 3], [6, 1]], 372821/214035333120], [[[1, 6], [2, 11], [4, 1], [6, 3]], 496619891/8561413324800], [[[1, 6], [2, 11], [4, 1], [7, 1]], 41803/23781703680], [[[1, 6], [2, 11], [4, 1], [14, 1]], 803987/47563407360], [[[1, 6], [2, 11], [4, 2], [5, 1]], 396509/38050725888], [[[1, 6], [2, 11], [4, 2], [6, 2]], 213675703/1630745395200], [[[1, 6], [2, 11], [4, 2], [8, 1]], 93902713/2536715059200], [[[1, 6], [2, 11], [4, 2], [10, 1]], 131274967/1783627776000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 11781413/2446118092800], [[[1, 6], [2, 11], [4, 3], [6, 1]], 7721725537/68491306598400], [[[1, 6], [2, 11], [5, 1], [6, 2]], 872203/79272345600], [[[1, 6], [2, 11], [5, 1], [8, 1]], 68231/95126814720], [[[1, 6], [2, 11], [5, 1], [10, 1]], 126673/23781703680], [[[1, 6], [2, 11], [6, 1], [7, 1]], 12047/5096079360], [[[1, 6], [2, 11], [6, 1], [14, 1]], 155731/14863564800], [[[1, 6], [2, 11], [6, 2], [8, 1]], 45481649/3424565329920], [[[1, 6], [2, 11], [6, 2], [10, 1]], 3855913/127401984000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 5802821/951268147200], [[[1, 6], [2, 13], [3, 1], [4, 2]], 33948779/16307453952000], [[[1, 6], [2, 13], [3, 1], [5, 1]], 285821/5350883328000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 2929379/366917713920], [[[1, 6], [2, 13], [3, 1], [8, 1]], 253403/1426902220800], [[[1, 6], [2, 13], [3, 1], [10, 1]], 151919/148635648000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 208937/761014517760], [[[1, 6], [2, 13], [3, 2], [6, 1]], 7497313/8561413324800], [[[1, 6], [2, 13], [4, 1], [5, 1]], 65027/105696460800], [[[1, 6], [2, 13], [4, 1], [6, 2]], 204233873/11415217766400], [[[1, 6], [2, 13], [4, 1], [8, 1]], 46727143/26091926323200], [[[1, 6], [2, 13], [4, 1], [10, 1]], 1563859/222953472000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 317659/2446118092800], [[[1, 6], [2, 13], [4, 2], [6, 1]], 58298719/3057647616000], [[[1, 6], [2, 13], [5, 1], [6, 1]], 1940947/2378170368000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 24181627/17122826649600], [[[1, 6], [2, 13], [6, 1], [10, 1]], 127065077/21403533312000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 72681871/821895679180800], [[[1, 6], [2, 15], [3, 1], [6, 1]], 254815367/1027369598976000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 1671757457/1369826131968000], [[[1, 7], [2, 2], [3, 1], [4, 7]], 85033/67947724800], [[[1, 7], [2, 2], [3, 2], [4, 6]], 26491/6794772480], [[[1, 7], [2, 2], [3, 2], [8, 3]], 23/4718592], [[[1, 7], [2, 2], [3, 3], [4, 5]], 1345/339738624], [[[1, 7], [2, 2], [3, 4], [4, 4]], 913/169869312], [[[1, 7], [2, 2], [3, 4], [8, 2]], 61/10616832], [[[1, 7], [2, 2], [3, 5], [4, 3]], 95/47775744], [[[1, 7], [2, 2], [3, 5], [14, 1]], 1/435456], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/7962624], [[[1, 7], [2, 2], [3, 6], [8, 1]], 1/1492992], [[[1, 7], [2, 2], [4, 2], [5, 3]], 3/102400], [[[1, 7], [2, 2], [4, 2], [8, 3]], 31201/2642411520], [[[1, 7], [2, 2], [4, 4], [5, 2]], 61/2621440], [[[1, 7], [2, 2], [4, 4], [8, 2]], 743/35389440], [[[1, 7], [2, 2], [4, 4], [12, 2]], 797/53084160], [[[1, 7], [2, 2], [4, 4], [16, 1]], 5/589824], [[[1, 7], [2, 2], [4, 4], [20, 1]], 197/14745600], [[[1, 7], [2, 2], [4, 5], [7, 1]], 41/7340032], [[[1, 7], [2, 2], [4, 6], [5, 1]], 22373/2831155200], [[[1, 7], [2, 2], [4, 6], [6, 2]], 937/33973862400], [[[1, 7], [2, 2], [4, 6], [8, 1]], 1533997/158544691200], [[[1, 7], [2, 2], [4, 6], [10, 1]], 1987/4246732800], [[[1, 7], [2, 2], [4, 6], [12, 1]], 5863/424673280], [[[1, 7], [2, 2], [4, 7], [6, 1]], 2027/40768634880], [[[1, 7], [2, 2], [5, 1], [8, 3]], 13/3932160], [[[1, 7], [2, 2], [5, 2], [8, 2]], 1/163840], [[[1, 7], [2, 2], [8, 2], [16, 1]], 59/13762560], [[[1, 7], [2, 4], [3, 1], [4, 6]], 8705323/203843174400], [[[1, 7], [2, 4], [3, 1], [5, 3]], 13/2304000], [[[1, 7], [2, 4], [3, 1], [8, 3]], 23/1048576], [[[1, 7], [2, 4], [3, 2], [4, 5]], 486601/6794772480], [[[1, 7], [2, 4], [3, 3], [4, 4]], 195647/3057647616], [[[1, 7], [2, 4], [3, 3], [5, 2]], 13/4147200], [[[1, 7], [2, 4], [3, 3], [6, 4]], 61/2985984], [[[1, 7], [2, 4], [3, 3], [8, 2]], 1313/63700992], [[[1, 7], [2, 4], [3, 3], [10, 2]], 1/230400], [[[1, 7], [2, 4], [3, 4], [4, 3]], 10847/382205952], [[[1, 7], [2, 4], [3, 4], [6, 3]], 1163/8957952], [[[1, 7], [2, 4], [3, 4], [7, 1]], 13/13934592], [[[1, 7], [2, 4], [3, 4], [14, 1]], 29/2322432], [[[1, 7], [2, 4], [3, 5], [4, 2]], 1127/191102976], [[[1, 7], [2, 4], [3, 5], [5, 1]], 13/29859840], [[[1, 7], [2, 4], [3, 5], [6, 2]], 511/8957952], [[[1, 7], [2, 4], [3, 5], [8, 1]], 53/23887872], [[[1, 7], [2, 4], [3, 5], [10, 1]], 5/1492992], [[[1, 7], [2, 4], [3, 6], [4, 1]], 23/35831808], [[[1, 7], [2, 4], [3, 6], [6, 1]], 7/2985984], [[[1, 7], [2, 4], [4, 1], [5, 3]], 11/512000], [[[1, 7], [2, 4], [4, 1], [8, 3]], 52549/905969664], [[[1, 7], [2, 4], [4, 3], [5, 2]], 1397/9830400], [[[1, 7], [2, 4], [4, 3], [8, 2]], 6576923/15854469120], [[[1, 7], [2, 4], [4, 3], [10, 2]], 1/1152000], [[[1, 7], [2, 4], [4, 3], [12, 2]], 16607/557383680], [[[1, 7], [2, 4], [4, 3], [16, 1]], 1979/23592960], [[[1, 7], [2, 4], [4, 3], [20, 1]], 5267/154828800], [[[1, 7], [2, 4], [4, 4], [6, 3]], 3983/3822059520], [[[1, 7], [2, 4], [4, 4], [7, 1]], 22763/264241152], [[[1, 7], [2, 4], [4, 4], [14, 1]], 2609/110100480], [[[1, 7], [2, 4], [4, 5], [5, 1]], 608773/5662310400], [[[1, 7], [2, 4], [4, 5], [6, 2]], 26399/6794772480], [[[1, 7], [2, 4], [4, 5], [8, 1]], 5502449/21743271936], [[[1, 7], [2, 4], [4, 5], [10, 1]], 36449/1887436800], [[[1, 7], [2, 4], [4, 5], [12, 1]], 5357099/35672555520], [[[1, 7], [2, 4], [4, 6], [6, 1]], 75599/3774873600], [[[1, 7], [2, 4], [5, 2], [6, 3]], 1/414720], [[[1, 7], [2, 4], [5, 2], [7, 1]], 13/1075200], [[[1, 7], [2, 4], [5, 2], [14, 1]], 1/35840], [[[1, 7], [2, 4], [5, 3], [6, 1]], 1/64000], [[[1, 7], [2, 4], [6, 1], [8, 3]], 839/141557760], [[[1, 7], [2, 4], [6, 3], [8, 2]], 19/159252480], [[[1, 7], [2, 4], [6, 4], [7, 1]], 1/13934592], [[[1, 7], [2, 4], [7, 1], [8, 2]], 19/1376256], [[[1, 7], [2, 4], [7, 1], [10, 2]], 1/1075200], [[[1, 7], [2, 4], [8, 2], [14, 1]], 3/917504], [[[1, 7], [2, 6], [3, 1], [4, 5]], 12580531/54358179840], [[[1, 7], [2, 6], [3, 1], [6, 5]], 857/716636160], [[[1, 7], [2, 6], [3, 2], [4, 4]], 6047881/27179089920], [[[1, 7], [2, 6], [3, 2], [5, 2]], 1699/331776000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 29921/477757440], [[[1, 7], [2, 6], [3, 2], [8, 2]], 29923/1132462080], [[[1, 7], [2, 6], [3, 2], [10, 2]], 41/1474560], [[[1, 7], [2, 6], [3, 3], [4, 3]], 2912957/30576476160], [[[1, 7], [2, 6], [3, 3], [6, 3]], 3073/7962624], [[[1, 7], [2, 6], [3, 3], [7, 1]], 1/544320], [[[1, 7], [2, 6], [3, 3], [14, 1]], 281/13934592], [[[1, 7], [2, 6], [3, 4], [4, 2]], 328459/15288238080], [[[1, 7], [2, 6], [3, 4], [5, 1]], 1699/1194393600], [[[1, 7], [2, 6], [3, 4], [6, 2]], 14851/95551488], [[[1, 7], [2, 6], [3, 4], [8, 1]], 1667/382205952], [[[1, 7], [2, 6], [3, 4], [10, 1]], 259/26542080], [[[1, 7], [2, 6], [3, 5], [4, 1]], 203/106168320], [[[1, 7], [2, 6], [3, 5], [6, 1]], 5387/716636160], [[[1, 7], [2, 6], [4, 1], [6, 5]], 109/573308928], [[[1, 7], [2, 6], [4, 2], [5, 2]], 387401/3538944000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 11747/3057647616], [[[1, 7], [2, 6], [4, 2], [8, 2]], 75140507/135895449600], [[[1, 7], [2, 6], [4, 2], [10, 2]], 115589/3538944000], [[[1, 7], [2, 6], [4, 2], [12, 2]], 737/318504960], [[[1, 7], [2, 6], [4, 2], [16, 1]], 57/524288], [[[1, 7], [2, 6], [4, 2], [20, 1]], 737/88473600], [[[1, 7], [2, 6], [4, 3], [6, 3]], 410921/15288238080], [[[1, 7], [2, 6], [4, 3], [7, 1]], 2095/9437184], [[[1, 7], [2, 6], [4, 3], [14, 1]], 17251/123863040], [[[1, 7], [2, 6], [4, 4], [5, 1]], 19636507/67947724800], [[[1, 7], [2, 6], [4, 4], [6, 2]], 2838887/27179089920], [[[1, 7], [2, 6], [4, 4], [8, 1]], 507182803/543581798400], [[[1, 7], [2, 6], [4, 4], [10, 1]], 2290037/13589544960], [[[1, 7], [2, 6], [4, 4], [12, 1]], 61948543/203843174400], [[[1, 7], [2, 6], [4, 5], [6, 1]], 9623279/54358179840], [[[1, 7], [2, 6], [5, 1], [6, 4]], 223/79626240], [[[1, 7], [2, 6], [5, 1], [8, 2]], 83363/2831155200], [[[1, 7], [2, 6], [5, 1], [10, 2]], 281/2048000], [[[1, 7], [2, 6], [5, 2], [6, 2]], 769/22118400], [[[1, 7], [2, 6], [5, 2], [8, 1]], 149/9830400], [[[1, 7], [2, 6], [5, 2], [10, 1]], 3/16384], [[[1, 7], [2, 6], [6, 2], [8, 2]], 13753/1132462080], [[[1, 7], [2, 6], [6, 2], [10, 2]], 109/331776000], [[[1, 7], [2, 6], [6, 3], [7, 1]], 125/13934592], [[[1, 7], [2, 6], [6, 3], [14, 1]], 1/8709120], [[[1, 7], [2, 6], [6, 4], [8, 1]], 523/637009920], [[[1, 7], [2, 6], [6, 4], [10, 1]], 109/1194393600], [[[1, 7], [2, 6], [8, 1], [10, 2]], 109/29491200], [[[1, 7], [2, 6], [8, 1], [16, 1]], 157/28311552], [[[1, 7], [2, 6], [8, 2], [10, 1]], 53609/2831155200], [[[1, 7], [2, 8], [3, 1], [4, 4]], 3909307873/15220290355200], [[[1, 7], [2, 8], [3, 1], [5, 2]], 263/91750400], [[[1, 7], [2, 8], [3, 1], [6, 4]], 431387/11466178560], [[[1, 7], [2, 8], [3, 1], [8, 2]], 760171/54358179840], [[[1, 7], [2, 8], [3, 1], [10, 2]], 2987/98304000], [[[1, 7], [2, 8], [3, 1], [16, 1]], 1/4423680], [[[1, 7], [2, 8], [3, 2], [4, 3]], 9194173/67947724800], [[[1, 7], [2, 8], [3, 2], [6, 3]], 506641/1911029760], [[[1, 7], [2, 8], [3, 2], [7, 1]], 2539/1486356480], [[[1, 7], [2, 8], [3, 2], [14, 1]], 487/27525120], [[[1, 7], [2, 8], [3, 3], [4, 2]], 1472017/47563407360], [[[1, 7], [2, 8], [3, 3], [5, 1]], 8927/5573836800], [[[1, 7], [2, 8], [3, 3], [6, 2]], 43781/238878720], [[[1, 7], [2, 8], [3, 3], [8, 1]], 11809/2548039680], [[[1, 7], [2, 8], [3, 3], [10, 1]], 31559/2388787200], [[[1, 7], [2, 8], [3, 4], [4, 1]], 78739/22932357120], [[[1, 7], [2, 8], [3, 4], [6, 1]], 7309/637009920], [[[1, 7], [2, 8], [4, 1], [5, 2]], 8657/442368000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 327607/22932357120], [[[1, 7], [2, 8], [4, 1], [8, 2]], 4332749/45298483200], [[[1, 7], [2, 8], [4, 1], [10, 2]], 46429/884736000], [[[1, 7], [2, 8], [4, 1], [16, 1]], 1613/141557760], [[[1, 7], [2, 8], [4, 2], [6, 3]], 7176319/76441190400], [[[1, 7], [2, 8], [4, 2], [7, 1]], 2859751/31708938240], [[[1, 7], [2, 8], [4, 2], [14, 1]], 15972023/118908518400], [[[1, 7], [2, 8], [4, 3], [5, 1]], 66734981/339738624000], [[[1, 7], [2, 8], [4, 3], [6, 2]], 6163091/22649241600], [[[1, 7], [2, 8], [4, 3], [8, 1]], 959466619/1522029035520], [[[1, 7], [2, 8], [4, 3], [10, 1]], 104055101/339738624000], [[[1, 7], [2, 8], [4, 3], [12, 1]], 2869049/22649241600], [[[1, 7], [2, 8], [4, 4], [6, 1]], 586428929/1630745395200], [[[1, 7], [2, 8], [5, 1], [6, 3]], 4499/176947200], [[[1, 7], [2, 8], [5, 1], [7, 1]], 251/82575360], [[[1, 7], [2, 8], [5, 1], [14, 1]], 8903/619315200], [[[1, 7], [2, 8], [5, 2], [6, 1]], 511/29491200], [[[1, 7], [2, 8], [6, 1], [8, 2]], 1342981/67947724800], [[[1, 7], [2, 8], [6, 1], [10, 2]], 2069/165888000], [[[1, 7], [2, 8], [6, 1], [16, 1]], 1/4423680], [[[1, 7], [2, 8], [6, 2], [7, 1]], 17921/743178240], [[[1, 7], [2, 8], [6, 2], [14, 1]], 1853/247726080], [[[1, 7], [2, 8], [6, 3], [8, 1]], 33847/2548039680], [[[1, 7], [2, 8], [6, 3], [10, 1]], 40427/4777574400], [[[1, 7], [2, 8], [7, 1], [8, 1]], 803/141557760], [[[1, 7], [2, 8], [7, 1], [10, 1]], 8903/619315200], [[[1, 7], [2, 8], [8, 1], [14, 1]], 1819/198180864], [[[1, 7], [2, 8], [10, 1], [14, 1]], 5429/619315200], [[[1, 7], [2, 10], [3, 1], [4, 3]], 616555199/7610145177600], [[[1, 7], [2, 10], [3, 1], [6, 3]], 16511119/229323571200], [[[1, 7], [2, 10], [3, 1], [7, 1]], 2341/2548039680], [[[1, 7], [2, 10], [3, 1], [14, 1]], 93899/11890851840], [[[1, 7], [2, 10], [3, 2], [4, 2]], 58666927/2283043553280], [[[1, 7], [2, 10], [3, 2], [5, 1]], 387641/356725555200], [[[1, 7], [2, 10], [3, 2], [6, 2]], 127327073/1426902220800], [[[1, 7], [2, 10], [3, 2], [8, 1]], 610019/228304355328], [[[1, 7], [2, 10], [3, 2], [10, 1]], 48161/5284823040], [[[1, 7], [2, 10], [3, 3], [4, 1]], 16671217/5136847994880], [[[1, 7], [2, 10], [3, 3], [6, 1]], 278245/28538044416], [[[1, 7], [2, 10], [4, 1], [6, 3]], 52125271/917294284800], [[[1, 7], [2, 10], [4, 1], [7, 1]], 72547/9512681472], [[[1, 7], [2, 10], [4, 1], [14, 1]], 1557029/59454259200], [[[1, 7], [2, 10], [4, 2], [5, 1]], 7963883/190253629440], [[[1, 7], [2, 10], [4, 2], [6, 2]], 2046848017/11415217766400], [[[1, 7], [2, 10], [4, 2], [8, 1]], 2379916981/22830435532800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 921934177/7134511104000], [[[1, 7], [2, 10], [4, 2], [12, 1]], 218147723/17122826649600], [[[1, 7], [2, 10], [4, 3], [6, 1]], 1012458233/4566087106560], [[[1, 7], [2, 10], [5, 1], [6, 2]], 5020909/237817036800], [[[1, 7], [2, 10], [5, 1], [8, 1]], 2793697/951268147200], [[[1, 7], [2, 10], [5, 1], [10, 1]], 1263811/84934656000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 32219/5096079360], [[[1, 7], [2, 10], [6, 1], [14, 1]], 167311/14863564800], [[[1, 7], [2, 10], [6, 2], [8, 1]], 132599/7549747200], [[[1, 7], [2, 10], [6, 2], [10, 1]], 3348793/127401984000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 112117/11324620800], [[[1, 7], [2, 12], [3, 1], [4, 2]], 1217734733/114152177664000], [[[1, 7], [2, 12], [3, 1], [5, 1]], 2093963/5350883328000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 128742839/6421059993600], [[[1, 7], [2, 12], [3, 1], [8, 1]], 9490427/11415217766400], [[[1, 7], [2, 12], [3, 1], [10, 1]], 1521701/445906944000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 61834039/34245653299200], [[[1, 7], [2, 12], [3, 2], [6, 1]], 1083161/244611809280], [[[1, 7], [2, 12], [4, 1], [5, 1]], 2888971/951268147200], [[[1, 7], [2, 12], [4, 1], [6, 2]], 3447359639/102736959897600], [[[1, 7], [2, 12], [4, 1], [8, 1]], 375761321/60881161420800], [[[1, 7], [2, 12], [4, 1], [10, 1]], 57153409/3567255552000], [[[1, 7], [2, 12], [4, 1], [12, 1]], 991523/2446118092800], [[[1, 7], [2, 12], [4, 2], [6, 1]], 4208960107/85614133248000], [[[1, 7], [2, 12], [5, 1], [6, 1]], 20642317/7134511104000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 40467989/11415217766400], [[[1, 7], [2, 12], [6, 1], [10, 1]], 214477133/21403533312000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 110011379/195689447424000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 1111382627/1027369598976000], [[[1, 7], [2, 14], [4, 1], [6, 1]], 16226774183/4109478395904000], [[[1, 7], [3, 1], [4, 2], [5, 3]], 1/192000], [[[1, 7], [3, 1], [4, 4], [5, 2]], 13/7372800], [[[1, 7], [3, 1], [4, 4], [8, 2]], 287/377487360], [[[1, 7], [3, 1], [4, 4], [12, 2]], 1/1327104], [[[1, 7], [3, 1], [4, 4], [20, 1]], 1/368640], [[[1, 7], [3, 1], [4, 6], [5, 1]], 53/283115520], [[[1, 7], [3, 1], [4, 6], [12, 1]], 31/84934656], [[[1, 7], [3, 1], [5, 2], [8, 2]], 1/153600], [[[1, 7], [3, 2], [4, 1], [8, 3]], 1/1572864], [[[1, 7], [3, 2], [4, 4], [7, 1]], 1/2064384], [[[1, 7], [3, 2], [4, 5], [8, 1]], 31/75497472], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/345600], [[[1, 7], [3, 3], [4, 2], [8, 2]], 11/5308416], [[[1, 7], [3, 3], [4, 4], [5, 1]], 1/1327104], [[[1, 7], [3, 3], [4, 4], [12, 1]], 1/995328], [[[1, 7], [3, 3], [5, 1], [8, 2]], 1/276480], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/1161216], [[[1, 7], [3, 4], [4, 3], [8, 1]], 11/10616832], [[[1, 7], [3, 5], [4, 2], [5, 1]], 1/2488320], [[[1, 7], [3, 5], [4, 2], [12, 1]], 1/746496], [[[1, 7], [4, 1], [5, 1], [8, 3]], 1/3932160], [[[1, 7], [4, 1], [8, 2], [16, 1]], 1/1474560], [[[1, 7], [4, 2], [5, 2], [7, 1]], 1/89600], [[[1, 7], [4, 2], [7, 1], [8, 2]], 1/2752512], [[[1, 7], [4, 3], [5, 2], [8, 1]], 1/491520], [[[1, 7], [4, 3], [8, 1], [12, 2]], 1/3317760], [[[1, 7], [4, 3], [8, 1], [20, 1]], 1/921600], [[[1, 7], [4, 4], [5, 1], [7, 1]], 1/573440], [[[1, 7], [4, 5], [5, 1], [8, 1]], 11/37748736], [[[1, 7], [4, 5], [8, 1], [12, 1]], 7/53084160], [[[1, 8], [2, 1], [3, 1], [4, 7]], 4331/22649241600], [[[1, 8], [2, 1], [3, 2], [4, 6]], 1393/6794772480], [[[1, 8], [2, 1], [3, 2], [5, 3]], 1/72000], [[[1, 8], [2, 1], [3, 2], [8, 3]], 1/1572864], [[[1, 8], [2, 1], [3, 3], [4, 5]], 119/113246208], [[[1, 8], [2, 1], [3, 4], [4, 4]], 2099/3057647616], [[[1, 8], [2, 1], [3, 4], [5, 2]], 1/129600], [[[1, 8], [2, 1], [3, 4], [8, 2]], 125/63700992], [[[1, 8], [2, 1], [3, 5], [4, 3]], 77/47775744], [[[1, 8], [2, 1], [3, 5], [7, 1]], 1/435456], [[[1, 8], [2, 1], [3, 6], [4, 2]], 7/23887872], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/933120], [[[1, 8], [2, 1], [3, 6], [8, 1]], 1/1492992], [[[1, 8], [2, 1], [4, 2], [5, 3]], 7/1536000], [[[1, 8], [2, 1], [4, 2], [8, 3]], 1087/2642411520], [[[1, 8], [2, 1], [4, 4], [5, 2]], 307/235929600], [[[1, 8], [2, 1], [4, 4], [8, 2]], 107497/126835752960], [[[1, 8], [2, 1], [4, 4], [12, 2]], 11/70778880], [[[1, 8], [2, 1], [4, 4], [20, 1]], 11/19660800], [[[1, 8], [2, 1], [4, 5], [7, 1]], 23/22020096], [[[1, 8], [2, 1], [4, 6], [5, 1]], 649/5662310400], [[[1, 8], [2, 1], [4, 6], [8, 1]], 29459/158544691200], [[[1, 8], [2, 1], [4, 6], [12, 1]], 497/4529848320], [[[1, 8], [2, 1], [4, 7], [6, 1]], 751/203843174400], [[[1, 8], [2, 1], [5, 1], [8, 3]], 1/3932160], [[[1, 8], [2, 1], [5, 2], [8, 2]], 13/4915200], [[[1, 8], [2, 1], [8, 2], [16, 1]], 1/4587520], [[[1, 8], [2, 3], [3, 1], [4, 6]], 461647/39636172800], [[[1, 8], [2, 3], [3, 1], [5, 3]], 7/384000], [[[1, 8], [2, 3], [3, 1], [8, 3]], 43/9437184], [[[1, 8], [2, 3], [3, 2], [4, 5]], 57743/2264924160], [[[1, 8], [2, 3], [3, 3], [4, 4]], 29747/849346560], [[[1, 8], [2, 3], [3, 3], [5, 2]], 1/57600], [[[1, 8], [2, 3], [3, 3], [8, 2]], 85/5308416], [[[1, 8], [2, 3], [3, 4], [4, 3]], 11279/382205952], [[[1, 8], [2, 3], [3, 4], [6, 3]], 7/248832], [[[1, 8], [2, 3], [3, 4], [7, 1]], 13/2322432], [[[1, 8], [2, 3], [3, 4], [14, 1]], 125/13934592], [[[1, 8], [2, 3], [3, 5], [4, 2]], 385/31850496], [[[1, 8], [2, 3], [3, 5], [5, 1]], 19/4976640], [[[1, 8], [2, 3], [3, 5], [6, 2]], 133/2985984], [[[1, 8], [2, 3], [3, 5], [8, 1]], 137/23887872], [[[1, 8], [2, 3], [3, 5], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 6], [4, 1]], 77/35831808], [[[1, 8], [2, 3], [3, 6], [6, 1]], 61/8957952], [[[1, 8], [2, 3], [4, 1], [5, 3]], 23/512000], [[[1, 8], [2, 3], [4, 1], [8, 3]], 18209/2348810240], [[[1, 8], [2, 3], [4, 3], [5, 2]], 59/655360], [[[1, 8], [2, 3], [4, 3], [8, 2]], 904031/15854469120], [[[1, 8], [2, 3], [4, 3], [10, 2]], 1/18432000], [[[1, 8], [2, 3], [4, 3], [12, 2]], 2039/557383680], [[[1, 8], [2, 3], [4, 3], [16, 1]], 197/23592960], [[[1, 8], [2, 3], [4, 3], [20, 1]], 779/154828800], [[[1, 8], [2, 3], [4, 4], [7, 1]], 10709/330301440], [[[1, 8], [2, 3], [4, 4], [14, 1]], 107/880803840], [[[1, 8], [2, 3], [4, 5], [5, 1]], 183829/5662310400], [[[1, 8], [2, 3], [4, 5], [6, 2]], 2483/6794772480], [[[1, 8], [2, 3], [4, 5], [8, 1]], 6945787/169114337280], [[[1, 8], [2, 3], [4, 5], [10, 1]], 5569/1887436800], [[[1, 8], [2, 3], [4, 5], [12, 1]], 962357/35672555520], [[[1, 8], [2, 3], [4, 6], [6, 1]], 661229/713451110400], [[[1, 8], [2, 3], [5, 2], [7, 1]], 1/35840], [[[1, 8], [2, 3], [5, 2], [14, 1]], 13/1075200], [[[1, 8], [2, 3], [5, 3], [6, 1]], 7/576000], [[[1, 8], [2, 3], [6, 1], [8, 3]], 59/141557760], [[[1, 8], [2, 3], [7, 1], [8, 2]], 13/2752512], [[[1, 8], [2, 5], [3, 1], [4, 5]], 7903613/54358179840], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/15925248], [[[1, 8], [2, 5], [3, 2], [4, 4]], 3443987/16307453952], [[[1, 8], [2, 5], [3, 2], [5, 2]], 169/7372800], [[[1, 8], [2, 5], [3, 2], [6, 4]], 5507/477757440], [[[1, 8], [2, 5], [3, 2], [8, 2]], 100541/3397386240], [[[1, 8], [2, 5], [3, 2], [10, 2]], 343/36864000], [[[1, 8], [2, 5], [3, 3], [4, 3]], 4794893/30576476160], [[[1, 8], [2, 5], [3, 3], [6, 3]], 60529/358318080], [[[1, 8], [2, 5], [3, 3], [7, 1]], 125/13934592], [[[1, 8], [2, 5], [3, 3], [14, 1]], 55/2322432], [[[1, 8], [2, 5], [3, 4], [4, 2]], 328315/6115295232], [[[1, 8], [2, 5], [3, 4], [5, 1]], 1823/238878720], [[[1, 8], [2, 5], [3, 4], [6, 2]], 54605/286654464], [[[1, 8], [2, 5], [3, 4], [8, 1]], 4553/382205952], [[[1, 8], [2, 5], [3, 4], [10, 1]], 3989/238878720], [[[1, 8], [2, 5], [3, 5], [4, 1]], 8197/955514880], [[[1, 8], [2, 5], [3, 5], [6, 1]], 371/15925248], [[[1, 8], [2, 5], [4, 1], [6, 5]], 7/573308928], [[[1, 8], [2, 5], [4, 2], [5, 2]], 85963/471859200], [[[1, 8], [2, 5], [4, 2], [6, 4]], 7393/28538044416], [[[1, 8], [2, 5], [4, 2], [8, 2]], 627787/2642411520], [[[1, 8], [2, 5], [4, 2], [10, 2]], 160847/33030144000], [[[1, 8], [2, 5], [4, 2], [12, 2]], 533/557383680], [[[1, 8], [2, 5], [4, 2], [16, 1]], 3631/123863040], [[[1, 8], [2, 5], [4, 2], [20, 1]], 533/154828800], [[[1, 8], [2, 5], [4, 3], [6, 3]], 57437/15288238080], [[[1, 8], [2, 5], [4, 3], [7, 1]], 11497/66060288], [[[1, 8], [2, 5], [4, 3], [14, 1]], 1901/61931520], [[[1, 8], [2, 5], [4, 4], [5, 1]], 646921/2717908992], [[[1, 8], [2, 5], [4, 4], [6, 2]], 1384465/76101451776], [[[1, 8], [2, 5], [4, 4], [8, 1]], 226820993/543581798400], [[[1, 8], [2, 5], [4, 4], [10, 1]], 16685947/317089382400], [[[1, 8], [2, 5], [4, 4], [12, 1]], 162862579/1141521776640], [[[1, 8], [2, 5], [4, 5], [6, 1]], 2998169/54358179840], [[[1, 8], [2, 5], [5, 1], [6, 4]], 109/238878720], [[[1, 8], [2, 5], [5, 1], [8, 2]], 63563/2831155200], [[[1, 8], [2, 5], [5, 1], [10, 2]], 629/18432000], [[[1, 8], [2, 5], [5, 2], [6, 2]], 31/1474560], [[[1, 8], [2, 5], [5, 2], [8, 1]], 263/9830400], [[[1, 8], [2, 5], [5, 2], [10, 1]], 1861/18432000], [[[1, 8], [2, 5], [6, 2], [8, 2]], 18083/6794772480], [[[1, 8], [2, 5], [6, 3], [7, 1]], 1/544320], [[[1, 8], [2, 5], [6, 4], [8, 1]], 11/212336640], [[[1, 8], [2, 5], [8, 1], [10, 2]], 7/29491200], [[[1, 8], [2, 5], [8, 1], [16, 1]], 533/247726080], [[[1, 8], [2, 5], [8, 2], [10, 1]], 1747/377487360], [[[1, 8], [2, 7], [3, 1], [4, 4]], 586428929/1630745395200], [[[1, 8], [2, 7], [3, 1], [5, 2]], 2069/165888000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 7309/637009920], [[[1, 8], [2, 7], [3, 1], [8, 2]], 1342981/67947724800], [[[1, 8], [2, 7], [3, 1], [10, 2]], 511/29491200], [[[1, 8], [2, 7], [3, 1], [16, 1]], 1/4423680], [[[1, 8], [2, 7], [3, 2], [4, 3]], 6163091/22649241600], [[[1, 8], [2, 7], [3, 2], [6, 3]], 43781/238878720], [[[1, 8], [2, 7], [3, 2], [7, 1]], 1853/247726080], [[[1, 8], [2, 7], [3, 2], [14, 1]], 17921/743178240], [[[1, 8], [2, 7], [3, 3], [4, 2]], 7176319/76441190400], [[[1, 8], [2, 7], [3, 3], [5, 1]], 40427/4777574400], [[[1, 8], [2, 7], [3, 3], [6, 2]], 506641/1911029760], [[[1, 8], [2, 7], [3, 3], [8, 1]], 33847/2548039680], [[[1, 8], [2, 7], [3, 3], [10, 1]], 4499/176947200], [[[1, 8], [2, 7], [3, 4], [4, 1]], 327607/22932357120], [[[1, 8], [2, 7], [3, 4], [6, 1]], 431387/11466178560], [[[1, 8], [2, 7], [4, 1], [5, 2]], 46429/884736000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 78739/22932357120], [[[1, 8], [2, 7], [4, 1], [8, 2]], 4332749/45298483200], [[[1, 8], [2, 7], [4, 1], [10, 2]], 8657/442368000], [[[1, 8], [2, 7], [4, 1], [16, 1]], 1613/141557760], [[[1, 8], [2, 7], [4, 2], [6, 3]], 1472017/47563407360], [[[1, 8], [2, 7], [4, 2], [7, 1]], 15972023/118908518400], [[[1, 8], [2, 7], [4, 2], [14, 1]], 2859751/31708938240], [[[1, 8], [2, 7], [4, 3], [5, 1]], 104055101/339738624000], [[[1, 8], [2, 7], [4, 3], [6, 2]], 9194173/67947724800], [[[1, 8], [2, 7], [4, 3], [8, 1]], 959466619/1522029035520], [[[1, 8], [2, 7], [4, 3], [10, 1]], 66734981/339738624000], [[[1, 8], [2, 7], [4, 3], [12, 1]], 2869049/22649241600], [[[1, 8], [2, 7], [4, 4], [6, 1]], 3909307873/15220290355200], [[[1, 8], [2, 7], [5, 1], [6, 3]], 31559/2388787200], [[[1, 8], [2, 7], [5, 1], [7, 1]], 5429/619315200], [[[1, 8], [2, 7], [5, 1], [14, 1]], 8903/619315200], [[[1, 8], [2, 7], [5, 2], [6, 1]], 2987/98304000], [[[1, 8], [2, 7], [6, 1], [8, 2]], 760171/54358179840], [[[1, 8], [2, 7], [6, 1], [10, 2]], 263/91750400], [[[1, 8], [2, 7], [6, 1], [16, 1]], 1/4423680], [[[1, 8], [2, 7], [6, 2], [7, 1]], 487/27525120], [[[1, 8], [2, 7], [6, 2], [14, 1]], 2539/1486356480], [[[1, 8], [2, 7], [6, 3], [8, 1]], 11809/2548039680], [[[1, 8], [2, 7], [6, 3], [10, 1]], 8927/5573836800], [[[1, 8], [2, 7], [7, 1], [8, 1]], 1819/198180864], [[[1, 8], [2, 7], [7, 1], [10, 1]], 8903/619315200], [[[1, 8], [2, 7], [8, 1], [14, 1]], 803/141557760], [[[1, 8], [2, 7], [10, 1], [14, 1]], 251/82575360], [[[1, 8], [2, 9], [3, 1], [4, 3]], 646250683/3261490790400], [[[1, 8], [2, 9], [3, 1], [6, 3]], 1556191/25480396800], [[[1, 8], [2, 9], [3, 1], [7, 1]], 43303/11890851840], [[[1, 8], [2, 9], [3, 1], [14, 1]], 169231/14863564800], [[[1, 8], [2, 9], [3, 2], [4, 2]], 131990939/1630745395200], [[[1, 8], [2, 9], [3, 2], [5, 1]], 3672703/713451110400], [[[1, 8], [2, 9], [3, 2], [6, 2]], 7860623/50960793600], [[[1, 8], [2, 9], [3, 2], [8, 1]], 998747/126835752960], [[[1, 8], [2, 9], [3, 2], [10, 1]], 2439989/127401984000], [[[1, 8], [2, 9], [3, 3], [4, 1]], 10019659/733835427840], [[[1, 8], [2, 9], [3, 3], [6, 1]], 22462049/713451110400], [[[1, 8], [2, 9], [4, 1], [6, 3]], 32379391/917294284800], [[[1, 8], [2, 9], [4, 1], [7, 1]], 972179/47563407360], [[[1, 8], [2, 9], [4, 1], [14, 1]], 1735589/59454259200], [[[1, 8], [2, 9], [4, 2], [5, 1]], 320368067/3170893824000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 585236983/3805072588800], [[[1, 8], [2, 9], [4, 2], [8, 1]], 4267276891/22830435532800], [[[1, 8], [2, 9], [4, 2], [10, 1]], 1382496553/9512681472000], [[[1, 8], [2, 9], [4, 2], [12, 1]], 425069/20132659200], [[[1, 8], [2, 9], [4, 3], [6, 1]], 6211795741/22830435532800], [[[1, 8], [2, 9], [5, 1], [6, 2]], 3216389/127401984000], [[[1, 8], [2, 9], [5, 1], [8, 1]], 6664381/951268147200], [[[1, 8], [2, 9], [5, 1], [10, 1]], 547691/21233664000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 157651/14863564800], [[[1, 8], [2, 9], [6, 1], [14, 1]], 19087/2378170368], [[[1, 8], [2, 9], [6, 2], [8, 1]], 1000631/67947724800], [[[1, 8], [2, 9], [6, 2], [10, 1]], 1162379/79272345600], [[[1, 8], [2, 9], [8, 1], [10, 1]], 117517/11324620800], [[[1, 8], [2, 11], [3, 1], [4, 2]], 394258079/11415217766400], [[[1, 8], [2, 11], [3, 1], [5, 1]], 4150583/2378170368000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 97194989/2853804441600], [[[1, 8], [2, 11], [3, 1], [8, 1]], 1899749/761014517760], [[[1, 8], [2, 11], [3, 1], [10, 1]], 1483511/203843174400], [[[1, 8], [2, 11], [3, 2], [4, 1]], 28580339/3805072588800], [[[1, 8], [2, 11], [3, 2], [6, 1]], 60746033/4280706662400], [[[1, 8], [2, 11], [4, 1], [5, 1]], 45605617/4756340736000], [[[1, 8], [2, 11], [4, 1], [6, 2]], 620153909/14676708556800], [[[1, 8], [2, 11], [4, 1], [8, 1]], 1758105451/121762322841600], [[[1, 8], [2, 11], [4, 1], [10, 1]], 179286473/7134511104000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 2110499/2446118092800], [[[1, 8], [2, 11], [4, 2], [6, 1]], 136788587/1630745395200], [[[1, 8], [2, 11], [5, 1], [6, 1]], 70393697/10701766656000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 22318567/3805072588800], [[[1, 8], [2, 11], [6, 1], [10, 1]], 10965527/951268147200], [[[1, 8], [2, 13], [3, 1], [4, 1]], 3122846023/1369826131968000], [[[1, 8], [2, 13], [3, 1], [6, 1]], 51486083/16307453952000], [[[1, 8], [2, 13], [4, 1], [6, 1]], 35715276173/4109478395904000], [[[1, 9], [2, 2], [3, 1], [4, 6]], 4349/2477260800], [[[1, 9], [2, 2], [3, 1], [5, 3]], 11/384000], [[[1, 9], [2, 2], [3, 1], [8, 3]], 7/15728640], [[[1, 9], [2, 2], [3, 2], [4, 5]], 8621/2264924160], [[[1, 9], [2, 2], [3, 3], [4, 4]], 7783/849346560], [[[1, 9], [2, 2], [3, 3], [5, 2]], 13/345600], [[[1, 9], [2, 2], [3, 3], [8, 2]], 25/5308416], [[[1, 9], [2, 2], [3, 4], [4, 3]], 8021/764411904], [[[1, 9], [2, 2], [3, 4], [7, 1]], 29/2322432], [[[1, 9], [2, 2], [3, 4], [14, 1]], 17/13934592], [[[1, 9], [2, 2], [3, 5], [4, 2]], 277/31850496], [[[1, 9], [2, 2], [3, 5], [5, 1]], 47/4976640], [[[1, 9], [2, 2], [3, 5], [6, 2]], 37/2985984], [[[1, 9], [2, 2], [3, 5], [8, 1]], 25/5308416], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/829440], [[[1, 9], [2, 2], [3, 6], [4, 1]], 35/11943936], [[[1, 9], [2, 2], [3, 6], [6, 1]], 59/8957952], [[[1, 9], [2, 2], [4, 1], [5, 3]], 97/3072000], [[[1, 9], [2, 2], [4, 1], [8, 3]], 7907/21139292160], [[[1, 9], [2, 2], [4, 3], [5, 2]], 4709/294912000], [[[1, 9], [2, 2], [4, 3], [8, 2]], 34867/9059696640], [[[1, 9], [2, 2], [4, 3], [12, 2]], 197/2229534720], [[[1, 9], [2, 2], [4, 3], [16, 1]], 11/31457280], [[[1, 9], [2, 2], [4, 3], [20, 1]], 197/619315200], [[[1, 9], [2, 2], [4, 4], [7, 1]], 1987/330301440], [[[1, 9], [2, 2], [4, 4], [14, 1]], 17/2642411520], [[[1, 9], [2, 2], [4, 5], [5, 1]], 9187/4529848320], [[[1, 9], [2, 2], [4, 5], [8, 1]], 832603/507343011840], [[[1, 9], [2, 2], [4, 5], [10, 1]], 107/2516582400], [[[1, 9], [2, 2], [4, 5], [12, 1]], 292723/285380444160], [[[1, 9], [2, 2], [4, 6], [6, 1]], 46111/713451110400], [[[1, 9], [2, 2], [5, 2], [7, 1]], 1/35840], [[[1, 9], [2, 2], [5, 2], [14, 1]], 1/1075200], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/576000], [[[1, 9], [2, 2], [7, 1], [8, 2]], 1/2752512], [[[1, 9], [2, 4], [3, 1], [4, 5]], 37431491/761014517760], [[[1, 9], [2, 4], [3, 2], [4, 4]], 7989097/81537269760], [[[1, 9], [2, 4], [3, 2], [5, 2]], 1093/22118400], [[[1, 9], [2, 4], [3, 2], [6, 4]], 29/53084160], [[[1, 9], [2, 4], [3, 2], [8, 2]], 57023/3397386240], [[[1, 9], [2, 4], [3, 2], [10, 2]], 11/12288000], [[[1, 9], [2, 4], [3, 3], [4, 3]], 361381/3057647616], [[[1, 9], [2, 4], [3, 3], [6, 3]], 11251/358318080], [[[1, 9], [2, 4], [3, 3], [7, 1]], 281/13934592], [[[1, 9], [2, 4], [3, 3], [14, 1]], 31/2322432], [[[1, 9], [2, 4], [3, 4], [4, 2]], 422299/6115295232], [[[1, 9], [2, 4], [3, 4], [5, 1]], 4901/238878720], [[[1, 9], [2, 4], [3, 4], [6, 2]], 165703/1433272320], [[[1, 9], [2, 4], [3, 4], [8, 1]], 6473/382205952], [[[1, 9], [2, 4], [3, 4], [10, 1]], 643/47775744], [[[1, 9], [2, 4], [3, 5], [4, 1]], 1093/63700992], [[[1, 9], [2, 4], [3, 5], [6, 1]], 1697/47775744], [[[1, 9], [2, 4], [4, 2], [5, 2]], 69707/471859200], [[[1, 9], [2, 4], [4, 2], [6, 4]], 2189/142690222080], [[[1, 9], [2, 4], [4, 2], [8, 2]], 302947/6039797760], [[[1, 9], [2, 4], [4, 2], [10, 2]], 9479/33030144000], [[[1, 9], [2, 4], [4, 2], [12, 2]], 13/79626240], [[[1, 9], [2, 4], [4, 2], [16, 1]], 779/247726080], [[[1, 9], [2, 4], [4, 2], [20, 1]], 13/22118400], [[[1, 9], [2, 4], [4, 3], [6, 3]], 71389/428070666240], [[[1, 9], [2, 4], [4, 3], [7, 1]], 1363/17694720], [[[1, 9], [2, 4], [4, 3], [14, 1]], 2377/1981808640], [[[1, 9], [2, 4], [4, 4], [5, 1]], 5725087/67947724800], [[[1, 9], [2, 4], [4, 4], [6, 2]], 2118649/1141521776640], [[[1, 9], [2, 4], [4, 4], [8, 1]], 124838891/1522029035520], [[[1, 9], [2, 4], [4, 4], [10, 1]], 297133/35232153600], [[[1, 9], [2, 4], [4, 4], [12, 1]], 7037899/228304355328], [[[1, 9], [2, 4], [4, 5], [6, 1]], 13693901/2283043553280], [[[1, 9], [2, 4], [5, 1], [6, 4]], 7/238878720], [[[1, 9], [2, 4], [5, 1], [8, 2]], 26609/2831155200], [[[1, 9], [2, 4], [5, 1], [10, 2]], 47/18432000], [[[1, 9], [2, 4], [5, 2], [6, 2]], 151/22118400], [[[1, 9], [2, 4], [5, 2], [8, 1]], 721/29491200], [[[1, 9], [2, 4], [5, 2], [10, 1]], 511/18432000], [[[1, 9], [2, 4], [6, 2], [8, 2]], 1177/6794772480], [[[1, 9], [2, 4], [6, 3], [7, 1]], 1/8709120], [[[1, 9], [2, 4], [8, 1], [16, 1]], 13/35389440], [[[1, 9], [2, 4], [8, 2], [10, 1]], 29/75497472], [[[1, 9], [2, 6], [3, 1], [4, 4]], 434013941/1630745395200], [[[1, 9], [2, 6], [3, 1], [5, 2]], 19289/663552000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 2117/1114767360], [[[1, 9], [2, 6], [3, 1], [8, 2]], 1063921/67947724800], [[[1, 9], [2, 6], [3, 1], [10, 2]], 2281/442368000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 61785283/203843174400], [[[1, 9], [2, 6], [3, 2], [6, 3]], 6691/106168320], [[[1, 9], [2, 6], [3, 2], [7, 1]], 487/27525120], [[[1, 9], [2, 6], [3, 2], [14, 1]], 14363/743178240], [[[1, 9], [2, 6], [3, 3], [4, 2]], 11785159/76441190400], [[[1, 9], [2, 6], [3, 3], [5, 1]], 112781/4777574400], [[[1, 9], [2, 6], [3, 3], [6, 2]], 80363/382205952], [[[1, 9], [2, 6], [3, 3], [8, 1]], 42559/1911029760], [[[1, 9], [2, 6], [3, 3], [10, 1]], 563/19660800], [[[1, 9], [2, 6], [3, 4], [4, 1]], 104557/3057647616], [[[1, 9], [2, 6], [3, 4], [6, 1]], 746639/11466178560], [[[1, 9], [2, 6], [4, 1], [5, 2]], 10439/131072000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 41461/91729428480], [[[1, 9], [2, 6], [4, 1], [8, 2]], 1822033/36238786560], [[[1, 9], [2, 6], [4, 1], [10, 2]], 61687/16515072000], [[[1, 9], [2, 6], [4, 1], [16, 1]], 191/61931520], [[[1, 9], [2, 6], [4, 2], [6, 3]], 831619/142690222080], [[[1, 9], [2, 6], [4, 2], [7, 1]], 13380023/118908518400], [[[1, 9], [2, 6], [4, 2], [14, 1]], 38447/1509949440], [[[1, 9], [2, 6], [4, 3], [5, 1]], 358171457/1358954496000], [[[1, 9], [2, 6], [4, 3], [6, 2]], 19067333/570760888320], [[[1, 9], [2, 6], [4, 3], [8, 1]], 803180971/2536715059200], [[[1, 9], [2, 6], [4, 3], [10, 1]], 130937623/1902536294400], [[[1, 9], [2, 6], [4, 3], [12, 1]], 75312637/1141521776640], [[[1, 9], [2, 6], [4, 4], [6, 1]], 830434483/9132174213120], [[[1, 9], [2, 6], [5, 1], [6, 3]], 9407/2388787200], [[[1, 9], [2, 6], [5, 1], [7, 1]], 8903/619315200], [[[1, 9], [2, 6], [5, 1], [14, 1]], 5429/619315200], [[[1, 9], [2, 6], [5, 2], [6, 1]], 26891/884736000], [[[1, 9], [2, 6], [6, 1], [8, 2]], 97549/18119393280], [[[1, 9], [2, 6], [6, 1], [10, 2]], 1279/4128768000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 1853/247726080], [[[1, 9], [2, 6], [6, 2], [14, 1]], 13/70778880], [[[1, 9], [2, 6], [6, 3], [8, 1]], 23197/26754416640], [[[1, 9], [2, 6], [6, 3], [10, 1]], 1439/11147673600], [[[1, 9], [2, 6], [7, 1], [8, 1]], 8903/990904320], [[[1, 9], [2, 6], [7, 1], [10, 1]], 5429/619315200], [[[1, 9], [2, 6], [8, 1], [14, 1]], 251/132120576], [[[1, 9], [2, 6], [10, 1], [14, 1]], 41/82575360], [[[1, 9], [2, 8], [3, 1], [4, 3]], 6211795741/22830435532800], [[[1, 9], [2, 8], [3, 1], [6, 3]], 22462049/713451110400], [[[1, 9], [2, 8], [3, 1], [7, 1]], 19087/2378170368], [[[1, 9], [2, 8], [3, 1], [14, 1]], 157651/14863564800], [[[1, 9], [2, 8], [3, 2], [4, 2]], 585236983/3805072588800], [[[1, 9], [2, 8], [3, 2], [5, 1]], 1162379/79272345600], [[[1, 9], [2, 8], [3, 2], [6, 2]], 7860623/50960793600], [[[1, 9], [2, 8], [3, 2], [8, 1]], 1000631/67947724800], [[[1, 9], [2, 8], [3, 2], [10, 1]], 3216389/127401984000], [[[1, 9], [2, 8], [3, 3], [4, 1]], 32379391/917294284800], [[[1, 9], [2, 8], [3, 3], [6, 1]], 1556191/25480396800], [[[1, 9], [2, 8], [4, 1], [6, 3]], 10019659/733835427840], [[[1, 9], [2, 8], [4, 1], [7, 1]], 1735589/59454259200], [[[1, 9], [2, 8], [4, 1], [14, 1]], 972179/47563407360], [[[1, 9], [2, 8], [4, 2], [5, 1]], 1382496553/9512681472000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 131990939/1630745395200], [[[1, 9], [2, 8], [4, 2], [8, 1]], 4267276891/22830435532800], [[[1, 9], [2, 8], [4, 2], [10, 1]], 320368067/3170893824000], [[[1, 9], [2, 8], [4, 2], [12, 1]], 425069/20132659200], [[[1, 9], [2, 8], [4, 3], [6, 1]], 646250683/3261490790400], [[[1, 9], [2, 8], [5, 1], [6, 2]], 2439989/127401984000], [[[1, 9], [2, 8], [5, 1], [8, 1]], 117517/11324620800], [[[1, 9], [2, 8], [5, 1], [10, 1]], 547691/21233664000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 169231/14863564800], [[[1, 9], [2, 8], [6, 1], [14, 1]], 43303/11890851840], [[[1, 9], [2, 8], [6, 2], [8, 1]], 998747/126835752960], [[[1, 9], [2, 8], [6, 2], [10, 1]], 3672703/713451110400], [[[1, 9], [2, 8], [8, 1], [10, 1]], 6664381/951268147200], [[[1, 9], [2, 10], [3, 1], [4, 2]], 829276741/11415217766400], [[[1, 9], [2, 10], [3, 1], [5, 1]], 35214317/7134511104000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 1063151/27179089920], [[[1, 9], [2, 10], [3, 1], [8, 1]], 3206747/652298158080], [[[1, 9], [2, 10], [3, 1], [10, 1]], 74157289/7134511104000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 693829589/34245653299200], [[[1, 9], [2, 10], [3, 2], [6, 1]], 10491359/356725555200], [[[1, 9], [2, 10], [4, 1], [5, 1]], 229312631/11415217766400], [[[1, 9], [2, 10], [4, 1], [6, 2]], 245917333/6849130659840], [[[1, 9], [2, 10], [4, 1], [8, 1]], 331149163/14611478740992], [[[1, 9], [2, 10], [4, 1], [10, 1]], 1566057691/57076088832000], [[[1, 9], [2, 10], [4, 1], [12, 1]], 412937/326149079040], [[[1, 9], [2, 10], [4, 2], [6, 1]], 1104022501/11415217766400], [[[1, 9], [2, 10], [5, 1], [6, 1]], 107504129/10701766656000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 148976393/22830435532800], [[[1, 9], [2, 10], [6, 1], [10, 1]], 18649271/2038431744000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 16995929873/2739652263936000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 210452081/32614907904000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 3182185049/234827336908800], [[[1, 9], [3, 1], [4, 1], [8, 3]], 1/47185920], [[[1, 9], [3, 1], [4, 4], [7, 1]], 5/16515072], [[[1, 9], [3, 1], [4, 5], [8, 1]], 23/452984832], [[[1, 9], [3, 1], [5, 2], [7, 1]], 1/33600], [[[1, 9], [3, 2], [4, 2], [5, 2]], 11/1843200], [[[1, 9], [3, 2], [4, 2], [8, 2]], 25/56623104], [[[1, 9], [3, 2], [4, 4], [5, 1]], 7/9437184], [[[1, 9], [3, 2], [4, 4], [12, 1]], 13/53084160], [[[1, 9], [3, 2], [5, 1], [8, 2]], 1/983040], [[[1, 9], [3, 3], [4, 2], [7, 1]], 1/580608], [[[1, 9], [3, 3], [4, 3], [8, 1]], 131/212336640], [[[1, 9], [3, 3], [5, 1], [7, 1]], 1/60480], [[[1, 9], [3, 4], [4, 2], [5, 1]], 47/19906560], [[[1, 9], [3, 4], [4, 2], [12, 1]], 17/23887872], [[[1, 9], [3, 5], [4, 1], [8, 1]], 1/1327104], [[[1, 9], [4, 2], [5, 1], [8, 2]], 43/235929600], [[[1, 9], [4, 2], [5, 2], [12, 1]], 1/1843200], [[[1, 9], [4, 2], [8, 1], [16, 1]], 1/94371840], [[[1, 9], [4, 3], [7, 1], [8, 1]], 1/10321920], [[[1, 9], [4, 4], [5, 1], [12, 1]], 1/11059200], [[[1, 10], [2, 1], [3, 1], [4, 6]], 205/8153726976], [[[1, 10], [2, 1], [3, 1], [5, 3]], 41/2304000], [[[1, 10], [2, 1], [3, 1], [8, 3]], 1/47185920], [[[1, 10], [2, 1], [3, 2], [4, 5]], 71/150994944], [[[1, 10], [2, 1], [3, 3], [4, 4]], 8083/15288238080], [[[1, 10], [2, 1], [3, 3], [5, 2]], 23/829440], [[[1, 10], [2, 1], [3, 3], [8, 2]], 193/318504960], [[[1, 10], [2, 1], [3, 4], [4, 3]], 1505/764411904], [[[1, 10], [2, 1], [3, 4], [7, 1]], 125/13934592], [[[1, 10], [2, 1], [3, 5], [4, 2]], 397/318504960], [[[1, 10], [2, 1], [3, 5], [5, 1]], 5/663552], [[[1, 10], [2, 1], [3, 5], [8, 1]], 5/5308416], [[[1, 10], [2, 1], [3, 6], [4, 1]], 17/11943936], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/497664], [[[1, 10], [2, 1], [4, 1], [5, 3]], 13/3072000], [[[1, 10], [2, 1], [4, 1], [8, 3]], 43/9059696640], [[[1, 10], [2, 1], [4, 3], [5, 2]], 449/294912000], [[[1, 10], [2, 1], [4, 3], [8, 2]], 1097/12683575296], [[[1, 10], [2, 1], [4, 3], [12, 2]], 1/445906944], [[[1, 10], [2, 1], [4, 3], [16, 1]], 1/94371840], [[[1, 10], [2, 1], [4, 3], [20, 1]], 1/123863040], [[[1, 10], [2, 1], [4, 4], [7, 1]], 107/880803840], [[[1, 10], [2, 1], [4, 5], [5, 1]], 3311/22649241600], [[[1, 10], [2, 1], [4, 5], [8, 1]], 58733/1522029035520], [[[1, 10], [2, 1], [4, 5], [10, 1]], 17/7549747200], [[[1, 10], [2, 1], [4, 5], [12, 1]], 13411/285380444160], [[[1, 10], [2, 1], [5, 2], [7, 1]], 13/1075200], [[[1, 10], [2, 3], [3, 1], [4, 5]], 6221917/761014517760], [[[1, 10], [2, 3], [3, 2], [4, 4]], 9204929/380507258880], [[[1, 10], [2, 3], [3, 2], [5, 2]], 1253/22118400], [[[1, 10], [2, 3], [3, 2], [8, 2]], 1133/251658240], [[[1, 10], [2, 3], [3, 3], [4, 3]], 118729/3057647616], [[[1, 10], [2, 3], [3, 3], [6, 3]], 7/4423680], [[[1, 10], [2, 3], [3, 3], [7, 1]], 55/2322432], [[[1, 10], [2, 3], [3, 3], [14, 1]], 193/69672960], [[[1, 10], [2, 3], [3, 4], [4, 2]], 210361/5096079360], [[[1, 10], [2, 3], [3, 4], [5, 1]], 83/2949120], [[[1, 10], [2, 3], [3, 4], [6, 2]], 3011/95551488], [[[1, 10], [2, 3], [3, 4], [8, 1]], 4355/382205952], [[[1, 10], [2, 3], [3, 4], [10, 1]], 611/132710400], [[[1, 10], [2, 3], [3, 5], [4, 1]], 1087/63700992], [[[1, 10], [2, 3], [3, 5], [6, 1]], 6209/238878720], [[[1, 10], [2, 3], [4, 2], [5, 2]], 62339/1179648000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 609719/126835752960], [[[1, 10], [2, 3], [4, 2], [12, 2]], 7/637009920], [[[1, 10], [2, 3], [4, 2], [16, 1]], 197/990904320], [[[1, 10], [2, 3], [4, 2], [20, 1]], 7/176947200], [[[1, 10], [2, 3], [4, 3], [6, 3]], 737/85614133248], [[[1, 10], [2, 3], [4, 3], [7, 1]], 127/7741440], [[[1, 10], [2, 3], [4, 3], [14, 1]], 121/1981808640], [[[1, 10], [2, 3], [4, 4], [5, 1]], 3899089/317089382400], [[[1, 10], [2, 3], [4, 4], [6, 2]], 26141/489223618560], [[[1, 10], [2, 3], [4, 4], [8, 1]], 1467383/217432719360], [[[1, 10], [2, 3], [4, 4], [10, 1]], 17261/38050725888], [[[1, 10], [2, 3], [4, 4], [12, 1]], 1642031/570760888320], [[[1, 10], [2, 3], [4, 5], [6, 1]], 1031099/2283043553280], [[[1, 10], [2, 3], [5, 1], [8, 2]], 707/377487360], [[[1, 10], [2, 3], [5, 2], [6, 2]], 83/66355200], [[[1, 10], [2, 3], [5, 2], [8, 1]], 331/29491200], [[[1, 10], [2, 3], [5, 2], [10, 1]], 83/18432000], [[[1, 10], [2, 3], [6, 2], [8, 2]], 43/20384317440], [[[1, 10], [2, 3], [8, 1], [16, 1]], 7/283115520], [[[1, 10], [2, 3], [8, 2], [10, 1]], 43/5662310400], [[[1, 10], [2, 5], [3, 1], [4, 4]], 422258887/3913788948480], [[[1, 10], [2, 5], [3, 1], [5, 2]], 34613/884736000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 6617/53508833280], [[[1, 10], [2, 5], [3, 1], [8, 2]], 8006819/1141521776640], [[[1, 10], [2, 5], [3, 1], [10, 2]], 2749/4128768000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 38863183/203843174400], [[[1, 10], [2, 5], [3, 2], [6, 3]], 305399/26754416640], [[[1, 10], [2, 5], [3, 2], [7, 1]], 17921/743178240], [[[1, 10], [2, 5], [3, 2], [14, 1]], 4301/495452160], [[[1, 10], [2, 5], [3, 3], [4, 2]], 4433177/30576476160], [[[1, 10], [2, 5], [3, 3], [5, 1]], 45859/1194393600], [[[1, 10], [2, 5], [3, 3], [6, 2]], 1951727/20065812480], [[[1, 10], [2, 5], [3, 3], [8, 1]], 84329/3822059520], [[[1, 10], [2, 5], [3, 3], [10, 1]], 43463/2388787200], [[[1, 10], [2, 5], [3, 4], [4, 1]], 719617/15288238080], [[[1, 10], [2, 5], [3, 4], [6, 1]], 124681/1911029760], [[[1, 10], [2, 5], [4, 1], [5, 2]], 3371/47185920], [[[1, 10], [2, 5], [4, 1], [6, 4]], 425/18345885696], [[[1, 10], [2, 5], [4, 1], [8, 2]], 493741/36238786560], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1031/3303014400], [[[1, 10], [2, 5], [4, 1], [16, 1]], 13/35389440], [[[1, 10], [2, 5], [4, 2], [6, 3]], 66293/107017666560], [[[1, 10], [2, 5], [4, 2], [7, 1]], 2022631/31708938240], [[[1, 10], [2, 5], [4, 2], [14, 1]], 52331/15854469120], [[[1, 10], [2, 5], [4, 3], [5, 1]], 168263597/1358954496000], [[[1, 10], [2, 5], [4, 3], [6, 2]], 373463/81537269760], [[[1, 10], [2, 5], [4, 3], [8, 1]], 44369743/507343011840], [[[1, 10], [2, 5], [4, 3], [10, 1]], 25323883/1902536294400], [[[1, 10], [2, 5], [4, 3], [12, 1]], 21622537/1141521776640], [[[1, 10], [2, 5], [4, 4], [6, 1]], 225860267/13698261319680], [[[1, 10], [2, 5], [5, 1], [6, 3]], 39469/66886041600], [[[1, 10], [2, 5], [5, 1], [7, 1]], 8903/619315200], [[[1, 10], [2, 5], [5, 1], [14, 1]], 251/82575360], [[[1, 10], [2, 5], [5, 2], [6, 1]], 23059/1327104000], [[[1, 10], [2, 5], [6, 1], [8, 2]], 648583/570760888320], [[[1, 10], [2, 5], [6, 1], [10, 2]], 43/2654208000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 2539/1486356480], [[[1, 10], [2, 5], [6, 2], [14, 1]], 43/4459069440], [[[1, 10], [2, 5], [6, 3], [8, 1]], 3869/53508833280], [[[1, 10], [2, 5], [6, 3], [10, 1]], 43/9555148800], [[[1, 10], [2, 5], [7, 1], [8, 1]], 5429/990904320], [[[1, 10], [2, 5], [7, 1], [10, 1]], 251/82575360], [[[1, 10], [2, 5], [8, 1], [14, 1]], 41/132120576], [[[1, 10], [2, 5], [10, 1], [14, 1]], 43/1238630400], [[[1, 10], [2, 7], [3, 1], [4, 3]], 1012458233/4566087106560], [[[1, 10], [2, 7], [3, 1], [6, 3]], 278245/28538044416], [[[1, 10], [2, 7], [3, 1], [7, 1]], 167311/14863564800], [[[1, 10], [2, 7], [3, 1], [14, 1]], 32219/5096079360], [[[1, 10], [2, 7], [3, 2], [4, 2]], 2046848017/11415217766400], [[[1, 10], [2, 7], [3, 2], [5, 1]], 3348793/127401984000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 127327073/1426902220800], [[[1, 10], [2, 7], [3, 2], [8, 1]], 132599/7549747200], [[[1, 10], [2, 7], [3, 2], [10, 1]], 5020909/237817036800], [[[1, 10], [2, 7], [3, 3], [4, 1]], 52125271/917294284800], [[[1, 10], [2, 7], [3, 3], [6, 1]], 16511119/229323571200], [[[1, 10], [2, 7], [4, 1], [6, 3]], 16671217/5136847994880], [[[1, 10], [2, 7], [4, 1], [7, 1]], 1557029/59454259200], [[[1, 10], [2, 7], [4, 1], [14, 1]], 72547/9512681472], [[[1, 10], [2, 7], [4, 2], [5, 1]], 921934177/7134511104000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 58666927/2283043553280], [[[1, 10], [2, 7], [4, 2], [8, 1]], 2379916981/22830435532800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 7963883/190253629440], [[[1, 10], [2, 7], [4, 2], [12, 1]], 218147723/17122826649600], [[[1, 10], [2, 7], [4, 3], [6, 1]], 616555199/7610145177600], [[[1, 10], [2, 7], [5, 1], [6, 2]], 48161/5284823040], [[[1, 10], [2, 7], [5, 1], [8, 1]], 112117/11324620800], [[[1, 10], [2, 7], [5, 1], [10, 1]], 1263811/84934656000], [[[1, 10], [2, 7], [6, 1], [7, 1]], 93899/11890851840], [[[1, 10], [2, 7], [6, 1], [14, 1]], 2341/2548039680], [[[1, 10], [2, 7], [6, 2], [8, 1]], 610019/228304355328], [[[1, 10], [2, 7], [6, 2], [10, 1]], 387641/356725555200], [[[1, 10], [2, 7], [8, 1], [10, 1]], 2793697/951268147200], [[[1, 10], [2, 9], [3, 1], [4, 2]], 1104022501/11415217766400], [[[1, 10], [2, 9], [3, 1], [5, 1]], 18649271/2038431744000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 10491359/356725555200], [[[1, 10], [2, 9], [3, 1], [8, 1]], 148976393/22830435532800], [[[1, 10], [2, 9], [3, 1], [10, 1]], 107504129/10701766656000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 245917333/6849130659840], [[[1, 10], [2, 9], [3, 2], [6, 1]], 1063151/27179089920], [[[1, 10], [2, 9], [4, 1], [5, 1]], 1566057691/57076088832000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 693829589/34245653299200], [[[1, 10], [2, 9], [4, 1], [8, 1]], 331149163/14611478740992], [[[1, 10], [2, 9], [4, 1], [10, 1]], 229312631/11415217766400], [[[1, 10], [2, 9], [4, 1], [12, 1]], 412937/326149079040], [[[1, 10], [2, 9], [4, 2], [6, 1]], 829276741/11415217766400], [[[1, 10], [2, 9], [5, 1], [6, 1]], 74157289/7134511104000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 3206747/652298158080], [[[1, 10], [2, 9], [6, 1], [10, 1]], 35214317/7134511104000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 10642169401/913217421312000], [[[1, 10], [2, 11], [3, 1], [6, 1]], 1281557371/136982613196800], [[[1, 10], [2, 11], [4, 1], [6, 1]], 24742841189/1643791358361600], [[[1, 11], [2, 2], [3, 1], [4, 5]], 20483/50734301184], [[[1, 11], [2, 2], [3, 2], [4, 4]], 54419/18119393280], [[[1, 11], [2, 2], [3, 2], [5, 2]], 233/7372800], [[[1, 11], [2, 2], [3, 2], [8, 2]], 1319/2264924160], [[[1, 11], [2, 2], [3, 3], [4, 3]], 2567533/428070666240], [[[1, 11], [2, 2], [3, 3], [7, 1]], 31/2322432], [[[1, 11], [2, 2], [3, 3], [14, 1]], 13/69672960], [[[1, 11], [2, 2], [3, 4], [4, 2]], 8705/1019215872], [[[1, 11], [2, 2], [3, 4], [5, 1]], 1463/79626240], [[[1, 11], [2, 2], [3, 4], [6, 2]], 1249/477757440], [[[1, 11], [2, 2], [3, 4], [8, 1]], 1931/637009920], [[[1, 11], [2, 2], [3, 4], [10, 1]], 61/132710400], [[[1, 11], [2, 2], [3, 5], [4, 1]], 2467/318504960], [[[1, 11], [2, 2], [3, 5], [6, 1]], 649/79626240], [[[1, 11], [2, 2], [4, 2], [5, 2]], 1451/235929600], [[[1, 11], [2, 2], [4, 2], [8, 2]], 25603/126835752960], [[[1, 11], [2, 2], [4, 2], [12, 2]], 1/4459069440], [[[1, 11], [2, 2], [4, 2], [16, 1]], 1/198180864], [[[1, 11], [2, 2], [4, 2], [20, 1]], 1/1238630400], [[[1, 11], [2, 2], [4, 3], [7, 1]], 2377/1981808640], [[[1, 11], [2, 2], [4, 4], [5, 1]], 62191/63417876480], [[[1, 11], [2, 2], [4, 4], [6, 2]], 8069/3424565329920], [[[1, 11], [2, 2], [4, 4], [8, 1]], 2627377/7610145177600], [[[1, 11], [2, 2], [4, 4], [10, 1]], 21743/951268147200], [[[1, 11], [2, 2], [4, 4], [12, 1]], 88199/570760888320], [[[1, 11], [2, 2], [4, 5], [6, 1]], 18707/2283043553280], [[[1, 11], [2, 2], [5, 1], [8, 2]], 13/75497472], [[[1, 11], [2, 2], [5, 2], [6, 2]], 1/13271040], [[[1, 11], [2, 2], [5, 2], [8, 1]], 19/9830400], [[[1, 11], [2, 2], [5, 2], [10, 1]], 1/3686400], [[[1, 11], [2, 2], [6, 2], [8, 2]], 1/20384317440], [[[1, 11], [2, 2], [8, 1], [16, 1]], 1/1981808640], [[[1, 11], [2, 2], [8, 2], [10, 1]], 1/5662310400], [[[1, 11], [2, 4], [3, 1], [4, 4]], 620547517/27396522639360], [[[1, 11], [2, 4], [3, 1], [5, 2]], 9163/294912000], [[[1, 11], [2, 4], [3, 1], [6, 4]], 13/5945425920], [[[1, 11], [2, 4], [3, 1], [8, 2]], 1965287/1141521776640], [[[1, 11], [2, 4], [3, 1], [10, 2]], 13/458752000], [[[1, 11], [2, 4], [3, 2], [4, 3]], 21395627/342456532992], [[[1, 11], [2, 4], [3, 2], [6, 3]], 24869/26754416640], [[[1, 11], [2, 4], [3, 2], [7, 1]], 14363/743178240], [[[1, 11], [2, 4], [3, 2], [14, 1]], 943/495452160], [[[1, 11], [2, 4], [3, 3], [4, 2]], 2330129/30576476160], [[[1, 11], [2, 4], [3, 3], [5, 1]], 88049/2388787200], [[[1, 11], [2, 4], [3, 3], [6, 2]], 957031/40131624960], [[[1, 11], [2, 4], [3, 3], [8, 1]], 186161/15288238080], [[[1, 11], [2, 4], [3, 3], [10, 1]], 14303/2388787200], [[[1, 11], [2, 4], [3, 4], [4, 1]], 56569/1528823808], [[[1, 11], [2, 4], [3, 4], [6, 1]], 72719/1911029760], [[[1, 11], [2, 4], [4, 1], [5, 2]], 43753/1179648000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 85223/42278584320], [[[1, 11], [2, 4], [4, 1], [10, 2]], 43/3538944000], [[[1, 11], [2, 4], [4, 1], [16, 1]], 7/283115520], [[[1, 11], [2, 4], [4, 2], [6, 3]], 631/21403533312], [[[1, 11], [2, 4], [4, 2], [7, 1]], 220489/10569646080], [[[1, 11], [2, 4], [4, 2], [14, 1]], 3043/15854469120], [[[1, 11], [2, 4], [4, 3], [5, 1]], 28702673/951268147200], [[[1, 11], [2, 4], [4, 3], [6, 2]], 2995691/8561413324800], [[[1, 11], [2, 4], [4, 3], [8, 1]], 20206643/1522029035520], [[[1, 11], [2, 4], [4, 3], [10, 1]], 7072117/4756340736000], [[[1, 11], [2, 4], [4, 3], [12, 1]], 346285/114152177664], [[[1, 11], [2, 4], [4, 4], [6, 1]], 22214063/13698261319680], [[[1, 11], [2, 4], [5, 1], [6, 3]], 401/13377208320], [[[1, 11], [2, 4], [5, 1], [7, 1]], 5429/619315200], [[[1, 11], [2, 4], [5, 1], [14, 1]], 41/82575360], [[[1, 11], [2, 4], [5, 2], [6, 1]], 6907/1327104000], [[[1, 11], [2, 4], [6, 1], [8, 2]], 76291/570760888320], [[[1, 11], [2, 4], [6, 1], [10, 2]], 1/2654208000], [[[1, 11], [2, 4], [6, 2], [7, 1]], 13/70778880], [[[1, 11], [2, 4], [6, 2], [14, 1]], 1/4459069440], [[[1, 11], [2, 4], [6, 3], [8, 1]], 43/15288238080], [[[1, 11], [2, 4], [6, 3], [10, 1]], 1/9555148800], [[[1, 11], [2, 4], [7, 1], [8, 1]], 251/132120576], [[[1, 11], [2, 4], [7, 1], [10, 1]], 41/82575360], [[[1, 11], [2, 4], [8, 1], [14, 1]], 43/1981808640], [[[1, 11], [2, 4], [10, 1], [14, 1]], 1/1238630400], [[[1, 11], [2, 6], [3, 1], [4, 3]], 7721725537/68491306598400], [[[1, 11], [2, 6], [3, 1], [6, 3]], 372821/214035333120], [[[1, 11], [2, 6], [3, 1], [7, 1]], 155731/14863564800], [[[1, 11], [2, 6], [3, 1], [14, 1]], 12047/5096079360], [[[1, 11], [2, 6], [3, 2], [4, 2]], 213675703/1630745395200], [[[1, 11], [2, 6], [3, 2], [5, 1]], 3855913/127401984000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 9239873/285380444160], [[[1, 11], [2, 6], [3, 2], [8, 1]], 45481649/3424565329920], [[[1, 11], [2, 6], [3, 2], [10, 1]], 872203/79272345600], [[[1, 11], [2, 6], [3, 3], [4, 1]], 496619891/8561413324800], [[[1, 11], [2, 6], [3, 3], [6, 1]], 344317681/6421059993600], [[[1, 11], [2, 6], [4, 1], [6, 3]], 1869593/4280706662400], [[[1, 11], [2, 6], [4, 1], [7, 1]], 803987/47563407360], [[[1, 11], [2, 6], [4, 1], [14, 1]], 41803/23781703680], [[[1, 11], [2, 6], [4, 2], [5, 1]], 131274967/1783627776000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 3789053/761014517760], [[[1, 11], [2, 6], [4, 2], [8, 1]], 93902713/2536715059200], [[[1, 11], [2, 6], [4, 2], [10, 1]], 396509/38050725888], [[[1, 11], [2, 6], [4, 2], [12, 1]], 11781413/2446118092800], [[[1, 11], [2, 6], [4, 3], [6, 1]], 1368842113/68491306598400], [[[1, 11], [2, 6], [5, 1], [6, 2]], 631969/237817036800], [[[1, 11], [2, 6], [5, 1], [8, 1]], 5802821/951268147200], [[[1, 11], [2, 6], [5, 1], [10, 1]], 126673/23781703680], [[[1, 11], [2, 6], [6, 1], [7, 1]], 41767/11890851840], [[[1, 11], [2, 6], [6, 1], [14, 1]], 2239/17836277760], [[[1, 11], [2, 6], [6, 2], [8, 1]], 316549/570760888320], [[[1, 11], [2, 6], [6, 2], [10, 1]], 45121/356725555200], [[[1, 11], [2, 6], [8, 1], [10, 1]], 68231/95126814720], [[[1, 11], [2, 8], [3, 1], [4, 2]], 136788587/1630745395200], [[[1, 11], [2, 8], [3, 1], [5, 1]], 10965527/951268147200], [[[1, 11], [2, 8], [3, 1], [6, 2]], 60746033/4280706662400], [[[1, 11], [2, 8], [3, 1], [8, 1]], 22318567/3805072588800], [[[1, 11], [2, 8], [3, 1], [10, 1]], 70393697/10701766656000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 620153909/14676708556800], [[[1, 11], [2, 8], [3, 2], [6, 1]], 97194989/2853804441600], [[[1, 11], [2, 8], [4, 1], [5, 1]], 179286473/7134511104000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 28580339/3805072588800], [[[1, 11], [2, 8], [4, 1], [8, 1]], 1758105451/121762322841600], [[[1, 11], [2, 8], [4, 1], [10, 1]], 45605617/4756340736000], [[[1, 11], [2, 8], [4, 1], [12, 1]], 2110499/2446118092800], [[[1, 11], [2, 8], [4, 2], [6, 1]], 394258079/11415217766400], [[[1, 11], [2, 8], [5, 1], [6, 1]], 1483511/203843174400], [[[1, 11], [2, 8], [6, 1], [8, 1]], 1899749/761014517760], [[[1, 11], [2, 8], [6, 1], [10, 1]], 4150583/2378170368000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 24742841189/1643791358361600], [[[1, 11], [2, 10], [3, 1], [6, 1]], 1281557371/136982613196800], [[[1, 11], [2, 10], [4, 1], [6, 1]], 10642169401/913217421312000], [[[1, 11], [3, 1], [4, 2], [5, 2]], 43/73728000], [[[1, 11], [3, 1], [4, 2], [8, 2]], 1319/95126814720], [[[1, 11], [3, 1], [4, 4], [5, 1]], 277/5662310400], [[[1, 11], [3, 1], [4, 4], [12, 1]], 19/2548039680], [[[1, 11], [3, 1], [5, 1], [8, 2]], 1/29491200], [[[1, 11], [3, 2], [4, 2], [7, 1]], 13/30965760], [[[1, 11], [3, 2], [4, 3], [8, 1]], 2189/31708938240], [[[1, 11], [3, 2], [5, 1], [7, 1]], 1/215040], [[[1, 11], [3, 3], [4, 2], [5, 1]], 391/398131200], [[[1, 11], [3, 3], [4, 2], [12, 1]], 13/119439360], [[[1, 11], [3, 4], [4, 1], [8, 1]], 61/212336640], [[[1, 11], [4, 1], [5, 2], [8, 1]], 1/5898240], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/6451200], [[[1, 11], [4, 3], [5, 1], [8, 1]], 401/15854469120], [[[1, 11], [4, 3], [8, 1], [12, 1]], 1/3397386240], [[[1, 12], [2, 1], [3, 1], [4, 5]], 1013/50734301184], [[[1, 12], [2, 1], [3, 2], [4, 4]], 207679/3424565329920], [[[1, 12], [2, 1], [3, 2], [5, 2]], 737/110592000], [[[1, 12], [2, 1], [3, 2], [8, 2]], 839/20384317440], [[[1, 12], [2, 1], [3, 3], [4, 3]], 226453/428070666240], [[[1, 12], [2, 1], [3, 3], [7, 1]], 193/69672960], [[[1, 12], [2, 1], [3, 4], [4, 2]], 79301/142690222080], [[[1, 12], [2, 1], [3, 4], [5, 1]], 1931/398131200], [[[1, 12], [2, 1], [3, 4], [8, 1]], 161/637009920], [[[1, 12], [2, 1], [3, 5], [4, 1]], 317/318504960], [[[1, 12], [2, 1], [3, 5], [6, 1]], 61/79626240], [[[1, 12], [2, 1], [4, 2], [5, 2]], 25133/99090432000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 7769/1902536294400], [[[1, 12], [2, 1], [4, 3], [7, 1]], 121/1981808640], [[[1, 12], [2, 1], [4, 4], [5, 1]], 18707/951268147200], [[[1, 12], [2, 1], [4, 4], [8, 1]], 10061/1087163596800], [[[1, 12], [2, 1], [4, 4], [12, 1]], 1411/815372697600], [[[1, 12], [2, 1], [4, 5], [6, 1]], 701/2283043553280], [[[1, 12], [2, 1], [5, 1], [8, 2]], 43/5662310400], [[[1, 12], [2, 1], [5, 2], [8, 1]], 1/9830400], [[[1, 12], [2, 3], [3, 1], [4, 4]], 10412453/4566087106560], [[[1, 12], [2, 3], [3, 1], [5, 2]], 12281/884736000], [[[1, 12], [2, 3], [3, 1], [8, 2]], 14443/63417876480], [[[1, 12], [2, 3], [3, 2], [4, 3]], 16371499/1712282664960], [[[1, 12], [2, 3], [3, 2], [6, 3]], 13/495452160], [[[1, 12], [2, 3], [3, 2], [7, 1]], 4301/495452160], [[[1, 12], [2, 3], [3, 2], [14, 1]], 839/4459069440], [[[1, 12], [2, 3], [3, 3], [4, 2]], 1021229/53508833280], [[[1, 12], [2, 3], [3, 3], [5, 1]], 63083/3185049600], [[[1, 12], [2, 3], [3, 3], [6, 2]], 69173/26754416640], [[[1, 12], [2, 3], [3, 3], [8, 1]], 50819/15288238080], [[[1, 12], [2, 3], [3, 3], [10, 1]], 6557/7431782400], [[[1, 12], [2, 3], [3, 4], [4, 1]], 119249/7644119040], [[[1, 12], [2, 3], [3, 4], [6, 1]], 615221/53508833280], [[[1, 12], [2, 3], [4, 1], [5, 2]], 11959/1179648000], [[[1, 12], [2, 3], [4, 1], [8, 2]], 21277/126835752960], [[[1, 12], [2, 3], [4, 1], [10, 2]], 1/3538944000], [[[1, 12], [2, 3], [4, 1], [16, 1]], 1/1981808640], [[[1, 12], [2, 3], [4, 2], [7, 1]], 52331/15854469120], [[[1, 12], [2, 3], [4, 2], [14, 1]], 1411/475634073600], [[[1, 12], [2, 3], [4, 3], [5, 1]], 634717/190253629440], [[[1, 12], [2, 3], [4, 3], [6, 2]], 125591/8561413324800], [[[1, 12], [2, 3], [4, 3], [8, 1]], 7938713/7610145177600], [[[1, 12], [2, 3], [4, 3], [10, 1]], 386437/4756340736000], [[[1, 12], [2, 3], [4, 3], [12, 1]], 141929/570760888320], [[[1, 12], [2, 3], [4, 4], [6, 1]], 11484671/136982613196800], [[[1, 12], [2, 3], [5, 1], [7, 1]], 251/82575360], [[[1, 12], [2, 3], [5, 1], [14, 1]], 43/1238630400], [[[1, 12], [2, 3], [5, 2], [6, 1]], 25133/37158912000], [[[1, 12], [2, 3], [6, 1], [8, 2]], 6571/815372697600], [[[1, 12], [2, 3], [6, 2], [7, 1]], 43/4459069440], [[[1, 12], [2, 3], [6, 3], [8, 1]], 1/15288238080], [[[1, 12], [2, 3], [7, 1], [8, 1]], 41/132120576], [[[1, 12], [2, 3], [7, 1], [10, 1]], 43/1238630400], [[[1, 12], [2, 3], [8, 1], [14, 1]], 1/1981808640], [[[1, 12], [2, 5], [3, 1], [4, 3]], 2305900873/68491306598400], [[[1, 12], [2, 5], [3, 1], [6, 3]], 552683/3210529996800], [[[1, 12], [2, 5], [3, 1], [7, 1]], 32219/5096079360], [[[1, 12], [2, 5], [3, 1], [14, 1]], 2981/5945425920], [[[1, 12], [2, 5], [3, 2], [4, 2]], 402762761/6849130659840], [[[1, 12], [2, 5], [3, 2], [5, 1]], 47649353/2140353331200], [[[1, 12], [2, 5], [3, 2], [6, 2]], 9047671/1284211998720], [[[1, 12], [2, 5], [3, 2], [8, 1]], 4216945/684913065984], [[[1, 12], [2, 5], [3, 2], [10, 1]], 3608287/1070176665600], [[[1, 12], [2, 5], [3, 3], [4, 1]], 318128351/8561413324800], [[[1, 12], [2, 5], [3, 3], [6, 1]], 32775161/1284211998720], [[[1, 12], [2, 5], [4, 1], [6, 3]], 127513/4280706662400], [[[1, 12], [2, 5], [4, 1], [7, 1]], 337391/47563407360], [[[1, 12], [2, 5], [4, 1], [14, 1]], 5491/23781703680], [[[1, 12], [2, 5], [4, 2], [5, 1]], 50133473/1902536294400], [[[1, 12], [2, 5], [4, 2], [6, 2]], 6246109/11415217766400], [[[1, 12], [2, 5], [4, 2], [8, 1]], 1001443/120795955200], [[[1, 12], [2, 5], [4, 2], [10, 1]], 43730849/28538044416000], [[[1, 12], [2, 5], [4, 2], [12, 1]], 2845999/2446118092800], [[[1, 12], [2, 5], [4, 3], [6, 1]], 29281711/9784472371200], [[[1, 12], [2, 5], [5, 1], [6, 2]], 32801/71345111040], [[[1, 12], [2, 5], [5, 1], [8, 1]], 2209337/951268147200], [[[1, 12], [2, 5], [5, 1], [10, 1]], 354119/297271296000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 2341/2548039680], [[[1, 12], [2, 5], [6, 1], [14, 1]], 1411/178362777600], [[[1, 12], [2, 5], [6, 2], [8, 1]], 37477/570760888320], [[[1, 12], [2, 5], [6, 2], [10, 1]], 78343/10701766656000], [[[1, 12], [2, 5], [8, 1], [10, 1]], 44131/475634073600], [[[1, 12], [2, 7], [3, 1], [4, 2]], 4208960107/85614133248000], [[[1, 12], [2, 7], [3, 1], [5, 1]], 214477133/21403533312000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 1083161/244611809280], [[[1, 12], [2, 7], [3, 1], [8, 1]], 40467989/11415217766400], [[[1, 12], [2, 7], [3, 1], [10, 1]], 20642317/7134511104000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 3447359639/102736959897600], [[[1, 12], [2, 7], [3, 2], [6, 1]], 128742839/6421059993600], [[[1, 12], [2, 7], [4, 1], [5, 1]], 57153409/3567255552000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 61834039/34245653299200], [[[1, 12], [2, 7], [4, 1], [8, 1]], 375761321/60881161420800], [[[1, 12], [2, 7], [4, 1], [10, 1]], 2888971/951268147200], [[[1, 12], [2, 7], [4, 1], [12, 1]], 991523/2446118092800], [[[1, 12], [2, 7], [4, 2], [6, 1]], 1217734733/114152177664000], [[[1, 12], [2, 7], [5, 1], [6, 1]], 1521701/445906944000], [[[1, 12], [2, 7], [6, 1], [8, 1]], 9490427/11415217766400], [[[1, 12], [2, 7], [6, 1], [10, 1]], 2093963/5350883328000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 3182185049/234827336908800], [[[1, 12], [2, 9], [3, 1], [6, 1]], 210452081/32614907904000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 16995929873/2739652263936000], [[[1, 13], [2, 2], [3, 1], [4, 4]], 943679/7610145177600], [[[1, 13], [2, 2], [3, 1], [5, 2]], 901/294912000], [[[1, 13], [2, 2], [3, 1], [8, 2]], 3149/190253629440], [[[1, 13], [2, 2], [3, 2], [4, 3]], 758149/1223059046400], [[[1, 13], [2, 2], [3, 2], [7, 1]], 943/495452160], [[[1, 13], [2, 2], [3, 2], [14, 1]], 29/4459069440], [[[1, 13], [2, 2], [3, 3], [4, 2]], 2137/1114767360], [[[1, 13], [2, 2], [3, 3], [5, 1]], 17009/3185049600], [[[1, 13], [2, 2], [3, 3], [6, 2]], 2447/26754416640], [[[1, 13], [2, 2], [3, 3], [8, 1]], 4327/10701766656], [[[1, 13], [2, 2], [3, 3], [10, 1]], 341/7431782400], [[[1, 13], [2, 2], [3, 4], [4, 1]], 30061/10192158720], [[[1, 13], [2, 2], [3, 4], [6, 1]], 84233/53508833280], [[[1, 13], [2, 2], [4, 1], [5, 2]], 6833/5505024000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 9521/1268357529600], [[[1, 13], [2, 2], [4, 2], [7, 1]], 3043/15854469120], [[[1, 13], [2, 2], [4, 2], [14, 1]], 31/475634073600], [[[1, 13], [2, 2], [4, 3], [5, 1]], 1833481/9512681472000], [[[1, 13], [2, 2], [4, 3], [8, 1]], 288439/7610145177600], [[[1, 13], [2, 2], [4, 3], [10, 1]], 1411/1358954496000], [[[1, 13], [2, 2], [4, 3], [12, 1]], 2719/271790899200], [[[1, 13], [2, 2], [4, 4], [6, 1]], 413531/136982613196800], [[[1, 13], [2, 2], [5, 1], [7, 1]], 41/82575360], [[[1, 13], [2, 2], [5, 1], [14, 1]], 1/1238630400], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1109/37158912000], [[[1, 13], [2, 2], [6, 1], [8, 2]], 151/815372697600], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/4459069440], [[[1, 13], [2, 2], [7, 1], [8, 1]], 43/1981808640], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/1238630400], [[[1, 13], [2, 4], [3, 1], [4, 3]], 365214643/68491306598400], [[[1, 13], [2, 4], [3, 1], [6, 3]], 52411/6421059993600], [[[1, 13], [2, 4], [3, 1], [7, 1]], 12047/5096079360], [[[1, 13], [2, 4], [3, 1], [14, 1]], 337/5945425920], [[[1, 13], [2, 4], [3, 2], [4, 2]], 20140741/1369826131968], [[[1, 13], [2, 4], [3, 2], [5, 1]], 21559997/2140353331200], [[[1, 13], [2, 4], [3, 2], [6, 2]], 5231771/6421059993600], [[[1, 13], [2, 4], [3, 2], [8, 1]], 2774839/1712282664960], [[[1, 13], [2, 4], [3, 2], [10, 1]], 599479/1070176665600], [[[1, 13], [2, 4], [3, 3], [4, 1]], 7244971/513684799488], [[[1, 13], [2, 4], [3, 3], [6, 1]], 169861/23781703680], [[[1, 13], [2, 4], [4, 1], [6, 3]], 5359/5136847994880], [[[1, 13], [2, 4], [4, 1], [7, 1]], 41803/23781703680], [[[1, 13], [2, 4], [4, 1], [14, 1]], 3373/237817036800], [[[1, 13], [2, 4], [4, 2], [5, 1]], 1128593/211392921600], [[[1, 13], [2, 4], [4, 2], [6, 2]], 325501/11415217766400], [[[1, 13], [2, 4], [4, 2], [8, 1]], 8197283/7610145177600], [[[1, 13], [2, 4], [4, 2], [10, 1]], 3601337/28538044416000], [[[1, 13], [2, 4], [4, 2], [12, 1]], 2758549/17122826649600], [[[1, 13], [2, 4], [4, 3], [6, 1]], 17809651/68491306598400], [[[1, 13], [2, 4], [5, 1], [6, 2]], 16589/356725555200], [[[1, 13], [2, 4], [5, 1], [8, 1]], 236939/475634073600], [[[1, 13], [2, 4], [5, 1], [10, 1]], 44399/297271296000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 2239/17836277760], [[[1, 13], [2, 4], [6, 1], [14, 1]], 31/178362777600], [[[1, 13], [2, 4], [6, 2], [8, 1]], 7367/1902536294400], [[[1, 13], [2, 4], [6, 2], [10, 1]], 1723/10701766656000], [[[1, 13], [2, 4], [8, 1], [10, 1]], 5359/951268147200], [[[1, 13], [2, 6], [3, 1], [4, 2]], 58298719/3057647616000], [[[1, 13], [2, 6], [3, 1], [5, 1]], 127065077/21403533312000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 7497313/8561413324800], [[[1, 13], [2, 6], [3, 1], [8, 1]], 24181627/17122826649600], [[[1, 13], [2, 6], [3, 1], [10, 1]], 1940947/2378170368000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 204233873/11415217766400], [[[1, 13], [2, 6], [3, 2], [6, 1]], 2929379/366917713920], [[[1, 13], [2, 6], [4, 1], [5, 1]], 1563859/222953472000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 208937/761014517760], [[[1, 13], [2, 6], [4, 1], [8, 1]], 46727143/26091926323200], [[[1, 13], [2, 6], [4, 1], [10, 1]], 65027/105696460800], [[[1, 13], [2, 6], [4, 1], [12, 1]], 317659/2446118092800], [[[1, 13], [2, 6], [4, 2], [6, 1]], 33948779/16307453952000], [[[1, 13], [2, 6], [5, 1], [6, 1]], 151919/148635648000], [[[1, 13], [2, 6], [6, 1], [8, 1]], 253403/1426902220800], [[[1, 13], [2, 6], [6, 1], [10, 1]], 285821/5350883328000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 35715276173/4109478395904000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 51486083/16307453952000], [[[1, 13], [2, 8], [4, 1], [6, 1]], 3122846023/1369826131968000], [[[1, 13], [3, 1], [4, 2], [7, 1]], 19/1486356480], [[[1, 13], [3, 1], [4, 3], [8, 1]], 1697/951268147200], [[[1, 13], [3, 1], [5, 1], [7, 1]], 1/6451200], [[[1, 13], [3, 2], [4, 2], [5, 1]], 12029/178362777600], [[[1, 13], [3, 2], [4, 2], [12, 1]], 29/7644119040], [[[1, 13], [3, 3], [4, 1], [8, 1]], 341/11890851840], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/1981808640], [[[1, 13], [4, 2], [5, 1], [12, 1]], 1/2123366400], [[[1, 14], [2, 1], [3, 1], [4, 4]], 44567/27396522639360], [[[1, 14], [2, 1], [3, 1], [5, 2]], 11231/37158912000], [[[1, 14], [2, 1], [3, 1], [8, 2]], 551/815372697600], [[[1, 14], [2, 1], [3, 2], [4, 3]], 219343/8561413324800], [[[1, 14], [2, 1], [3, 2], [7, 1]], 839/4459069440], [[[1, 14], [2, 1], [3, 3], [4, 2]], 121637/2140353331200], [[[1, 14], [2, 1], [3, 3], [5, 1]], 4327/6688604160], [[[1, 14], [2, 1], [3, 3], [8, 1]], 227/13377208320], [[[1, 14], [2, 1], [3, 4], [4, 1]], 221/1132462080], [[[1, 14], [2, 1], [3, 4], [6, 1]], 341/4459069440], [[[1, 14], [2, 1], [4, 1], [5, 2]], 871/16515072000], [[[1, 14], [2, 1], [4, 1], [8, 2]], 181/1268357529600], [[[1, 14], [2, 1], [4, 2], [7, 1]], 1411/475634073600], [[[1, 14], [2, 1], [4, 3], [5, 1]], 66301/9512681472000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1357/2536715059200], [[[1, 14], [2, 1], [4, 3], [10, 1]], 31/1358954496000], [[[1, 14], [2, 1], [4, 3], [12, 1]], 59/271790899200], [[[1, 14], [2, 1], [5, 1], [7, 1]], 43/1238630400], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/1981808640], [[[1, 14], [2, 3], [3, 1], [4, 3]], 27382507/68491306598400], [[[1, 14], [2, 3], [3, 1], [6, 3]], 19/142690222080], [[[1, 14], [2, 3], [3, 1], [7, 1]], 2981/5945425920], [[[1, 14], [2, 3], [3, 1], [14, 1]], 551/178362777600], [[[1, 14], [2, 3], [3, 2], [4, 2]], 20681593/11415217766400], [[[1, 14], [2, 3], [3, 2], [5, 1]], 932777/356725555200], [[[1, 14], [2, 3], [3, 2], [6, 2]], 186073/4280706662400], [[[1, 14], [2, 3], [3, 2], [8, 1]], 390151/1712282664960], [[[1, 14], [2, 3], [3, 2], [10, 1]], 6011/132120576000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 7399367/2568423997440], [[[1, 14], [2, 3], [3, 3], [6, 1]], 3488003/3210529996800], [[[1, 14], [2, 3], [4, 1], [6, 3]], 23/1027369598976], [[[1, 14], [2, 3], [4, 1], [7, 1]], 5491/23781703680], [[[1, 14], [2, 3], [4, 1], [14, 1]], 73/237817036800], [[[1, 14], [2, 3], [4, 2], [5, 1]], 283993/528482304000], [[[1, 14], [2, 3], [4, 2], [6, 2]], 3023/4892236185600], [[[1, 14], [2, 3], [4, 2], [8, 1]], 192599/2536715059200], [[[1, 14], [2, 3], [4, 2], [10, 1]], 4469/792723456000], [[[1, 14], [2, 3], [4, 2], [12, 1]], 3107/271790899200], [[[1, 14], [2, 3], [4, 3], [6, 1]], 29443/2739652263936], [[[1, 14], [2, 3], [5, 1], [6, 2]], 5359/2140353331200], [[[1, 14], [2, 3], [5, 1], [8, 1]], 26939/475634073600], [[[1, 14], [2, 3], [5, 1], [10, 1]], 5359/594542592000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 1411/178362777600], [[[1, 14], [2, 3], [6, 2], [8, 1]], 481/5707608883200], [[[1, 14], [2, 3], [8, 1], [10, 1]], 23/190253629440], [[[1, 14], [2, 5], [3, 1], [4, 2]], 313373441/68491306598400], [[[1, 14], [2, 5], [3, 1], [5, 1]], 24807637/10701766656000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 1339213/12842119987200], [[[1, 14], [2, 5], [3, 1], [8, 1]], 6007471/17122826649600], [[[1, 14], [2, 5], [3, 1], [10, 1]], 744581/5350883328000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 209089471/34245653299200], [[[1, 14], [2, 5], [3, 2], [6, 1]], 5792309/2853804441600], [[[1, 14], [2, 5], [4, 1], [5, 1]], 7065361/3567255552000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 865009/34245653299200], [[[1, 14], [2, 5], [4, 1], [8, 1]], 20135863/60881161420800], [[[1, 14], [2, 5], [4, 1], [10, 1]], 354299/4756340736000], [[[1, 14], [2, 5], [4, 1], [12, 1]], 64207/2446118092800], [[[1, 14], [2, 5], [4, 2], [6, 1]], 4195183/17122826649600], [[[1, 14], [2, 5], [5, 1], [6, 1]], 3877813/21403533312000], [[[1, 14], [2, 5], [6, 1], [8, 1]], 2161/89181388800], [[[1, 14], [2, 5], [6, 1], [10, 1]], 10279/2378170368000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 16226774183/4109478395904000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 1111382627/1027369598976000], [[[1, 14], [2, 7], [4, 1], [6, 1]], 110011379/195689447424000], [[[1, 15], [2, 2], [3, 1], [4, 3]], 1077533/68491306598400], [[[1, 15], [2, 2], [3, 1], [7, 1]], 337/5945425920], [[[1, 15], [2, 2], [3, 1], [14, 1]], 11/178362777600], [[[1, 15], [2, 2], [3, 2], [4, 2]], 1050097/11415217766400], [[[1, 15], [2, 2], [3, 2], [5, 1]], 130321/356725555200], [[[1, 15], [2, 2], [3, 2], [6, 2]], 3349/4280706662400], [[[1, 15], [2, 2], [3, 2], [8, 1]], 29711/1902536294400], [[[1, 15], [2, 2], [3, 2], [10, 1]], 1639/1189085184000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 2405681/8561413324800], [[[1, 15], [2, 2], [3, 3], [6, 1]], 521747/6421059993600], [[[1, 15], [2, 2], [4, 1], [7, 1]], 3373/237817036800], [[[1, 15], [2, 2], [4, 2], [5, 1]], 21979/951268147200], [[[1, 15], [2, 2], [4, 2], [6, 2]], 17/1369826131968], [[[1, 15], [2, 2], [4, 2], [8, 1]], 12479/4566087106560], [[[1, 15], [2, 2], [4, 2], [10, 1]], 1/8257536000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 107/271790899200], [[[1, 15], [2, 2], [4, 3], [6, 1]], 9341/68491306598400], [[[1, 15], [2, 2], [5, 1], [6, 2]], 23/428070666240], [[[1, 15], [2, 2], [5, 1], [8, 1]], 2951/951268147200], [[[1, 15], [2, 2], [5, 1], [10, 1]], 23/118908518400], [[[1, 15], [2, 2], [6, 1], [7, 1]], 31/178362777600], [[[1, 15], [2, 4], [3, 1], [4, 2]], 42770993/68491306598400], [[[1, 15], [2, 4], [3, 1], [5, 1]], 6078241/10701766656000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 22567/3210529996800], [[[1, 15], [2, 4], [3, 1], [8, 1]], 1780379/34245653299200], [[[1, 15], [2, 4], [3, 1], [10, 1]], 14377/1070176665600], [[[1, 15], [2, 4], [3, 2], [4, 1]], 14281951/11415217766400], [[[1, 15], [2, 4], [3, 2], [6, 1]], 532457/1712282664960], [[[1, 15], [2, 4], [4, 1], [5, 1]], 4791277/14269022208000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 25657/20547391979520], [[[1, 15], [2, 4], [4, 1], [8, 1]], 1343819/36528696852480], [[[1, 15], [2, 4], [4, 1], [10, 1]], 12083/2378170368000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 103/32614907904], [[[1, 15], [2, 4], [4, 2], [6, 1]], 73699/4280706662400], [[[1, 15], [2, 4], [5, 1], [6, 1]], 380809/21403533312000], [[[1, 15], [2, 4], [6, 1], [8, 1]], 72757/34245653299200], [[[1, 15], [2, 4], [6, 1], [10, 1]], 11/52848230400], [[[1, 15], [2, 6], [3, 1], [4, 1]], 1671757457/1369826131968000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 254815367/1027369598976000], [[[1, 15], [2, 6], [4, 1], [6, 1]], 72681871/821895679180800], [[[1, 15], [3, 1], [4, 2], [5, 1]], 9941/7134511104000], [[[1, 15], [3, 1], [4, 2], [12, 1]], 11/305764761600], [[[1, 15], [3, 2], [4, 1], [8, 1]], 1639/1902536294400], [[[1, 15], [4, 1], [5, 1], [8, 1]], 23/190253629440], [[[1, 16], [2, 1], [3, 1], [4, 3]], 3947/9784472371200], [[[1, 16], [2, 1], [3, 1], [7, 1]], 551/178362777600], [[[1, 16], [2, 1], [3, 2], [4, 2]], 2833/1630745395200], [[[1, 16], [2, 1], [3, 2], [5, 1]], 29711/1189085184000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 257/634178764800], [[[1, 16], [2, 1], [3, 3], [4, 1]], 11963/1223059046400], [[[1, 16], [2, 1], [3, 3], [6, 1]], 1639/713451110400], [[[1, 16], [2, 1], [4, 1], [7, 1]], 73/237817036800], [[[1, 16], [2, 1], [4, 2], [5, 1]], 9341/28538044416000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 997/22830435532800], [[[1, 16], [2, 1], [4, 2], [12, 1]], 73/9784472371200], [[[1, 16], [2, 1], [4, 3], [6, 1]], 173/68491306598400], [[[1, 16], [2, 1], [5, 1], [8, 1]], 59/951268147200], [[[1, 16], [2, 3], [3, 1], [4, 2]], 502927/11415217766400], [[[1, 16], [2, 3], [3, 1], [5, 1]], 198677/2378170368000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 2081/8561413324800], [[[1, 16], [2, 3], [3, 1], [8, 1]], 5987/1369826131968], [[[1, 16], [2, 3], [3, 1], [10, 1]], 223/339738624000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 327671/2283043553280], [[[1, 16], [2, 3], [3, 2], [6, 1]], 115729/4280706662400], [[[1, 16], [2, 3], [4, 1], [5, 1]], 456151/14269022208000], [[[1, 16], [2, 3], [4, 1], [6, 2]], 359/14676708556800], [[[1, 16], [2, 3], [4, 1], [8, 1]], 348347/146114787409920], [[[1, 16], [2, 3], [4, 1], [10, 1]], 229/1189085184000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 7/32614907904], [[[1, 16], [2, 3], [4, 2], [6, 1]], 94721/136982613196800], [[[1, 16], [2, 3], [5, 1], [6, 1]], 9341/10701766656000], [[[1, 16], [2, 3], [6, 1], [8, 1]], 4021/34245653299200], [[[1, 16], [2, 3], [6, 1], [10, 1]], 73/12230590464000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 334562587/1369826131968000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 357049/9784472371200], [[[1, 16], [2, 5], [4, 1], [6, 1]], 1006339/117413668454400], [[[1, 17], [2, 2], [3, 1], [4, 2]], 16057/11415217766400], [[[1, 17], [2, 2], [3, 1], [5, 1]], 49943/7134511104000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 29/8561413324800], [[[1, 17], [2, 2], [3, 1], [8, 1]], 1231/6522981580800], [[[1, 17], [2, 2], [3, 1], [10, 1]], 29/2378170368000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 94189/11415217766400], [[[1, 17], [2, 2], [3, 2], [6, 1]], 19/15854469120], [[[1, 17], [2, 2], [4, 1], [5, 1]], 175307/114152177664000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 1433/16234976378880], [[[1, 17], [2, 2], [4, 1], [10, 1]], 73/16307453952000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 73/9784472371200], [[[1, 17], [2, 2], [4, 2], [6, 1]], 1721/136982613196800], [[[1, 17], [2, 2], [5, 1], [6, 1]], 173/10701766656000], [[[1, 17], [2, 2], [6, 1], [8, 1]], 73/19568944742400], [[[1, 17], [2, 2], [6, 1], [10, 1]], 1/12230590464000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 4723301/156551557939200], [[[1, 17], [2, 4], [3, 1], [6, 1]], 181627/54793045278720], [[[1, 17], [2, 4], [4, 1], [6, 1]], 2773223/5479304527872000], [[[1, 17], [3, 1], [4, 1], [8, 1]], 29/3805072588800], [[[1, 18], [2, 1], [3, 1], [4, 2]], 4021/228304355328000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 1231/4076863488000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 29/9132174213120], [[[1, 18], [2, 1], [3, 2], [4, 1]], 2081/11415217766400], [[[1, 18], [2, 1], [3, 2], [6, 1]], 29/1426902220800], [[[1, 18], [2, 1], [4, 1], [5, 1]], 3203/114152177664000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 1373/730573937049600], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/16307453952000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/9784472371200], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/19568944742400], [[[1, 18], [2, 3], [3, 1], [4, 1]], 2375489/1095860905574400], [[[1, 18], [2, 3], [3, 1], [6, 1]], 241081/1369826131968000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 14459/782757789696000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 148919/1826434842624000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 6721/1369826131968000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 1403/3287582716723200], [[[1, 20], [2, 1], [3, 1], [4, 1]], 743/608811614208000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/18264348426240], [[[1, 20], [2, 1], [4, 1], [6, 1]], 17/3287582716723200], [[[2, 1], [4, 2], [8, 3], [16, 1]], 3/32768], [[[2, 1], [4, 4], [8, 2], [12, 2]], 1/73728], [[[2, 1], [4, 4], [8, 2], [20, 1]], 1/20480], [[[2, 1], [4, 6], [8, 1], [16, 1]], 1/2949120], [[[2, 1], [4, 6], [8, 2], [12, 1]], 7/1179648], [[[2, 3], [4, 1], [8, 1], [16, 2]], 1/8192], [[[2, 3], [4, 2], [6, 1], [8, 4]], 5/393216], [[[2, 3], [4, 3], [6, 2], [8, 3]], 5/1179648], [[[2, 3], [4, 3], [8, 1], [12, 3]], 1/27648], [[[2, 3], [4, 3], [8, 2], [16, 1]], 5/196608], [[[2, 3], [4, 3], [8, 3], [10, 1]], 1/65536], [[[2, 3], [4, 3], [8, 3], [12, 1]], 1/98304], [[[2, 3], [4, 3], [12, 2], [16, 1]], 1/18432], [[[2, 3], [4, 3], [16, 1], [20, 1]], 1/5120], [[[2, 3], [4, 4], [8, 2], [14, 1]], 1/229376], [[[2, 3], [4, 5], [8, 1], [12, 2]], 1/73728], [[[2, 3], [4, 5], [8, 1], [20, 1]], 1/61440], [[[2, 3], [4, 5], [12, 1], [16, 1]], 1/73728], [[[2, 3], [4, 6], [6, 1], [8, 2]], 121/283115520], [[[2, 3], [4, 7], [6, 2], [8, 1]], 31/849346560], [[[2, 3], [4, 7], [8, 1], [10, 1]], 31/235929600], [[[2, 3], [4, 7], [8, 1], [12, 1]], 43/23592960], [[[2, 3], [6, 1], [8, 3], [16, 1]], 1/12288], [[[2, 5], [4, 1], [6, 3], [8, 3]], 1/442368], [[[2, 5], [4, 2], [6, 4], [8, 2]], 1/5308416], [[[2, 5], [4, 2], [8, 2], [10, 2]], 1/409600], [[[2, 5], [4, 2], [8, 2], [12, 2]], 1/884736], [[[2, 5], [4, 2], [8, 2], [20, 1]], 1/245760], [[[2, 5], [4, 3], [6, 1], [8, 3]], 13/2359296], [[[2, 5], [4, 4], [6, 2], [8, 2]], 23/9437184], [[[2, 5], [4, 4], [6, 2], [12, 2]], 1/331776], [[[2, 5], [4, 4], [6, 2], [20, 1]], 1/92160], [[[2, 5], [4, 4], [6, 4], [12, 1]], 1/1990656], [[[2, 5], [4, 4], [8, 1], [16, 1]], 1/1572864], [[[2, 5], [4, 4], [8, 2], [10, 1]], 41/7864320], [[[2, 5], [4, 4], [8, 2], [12, 1]], 43/14155776], [[[2, 5], [4, 4], [10, 1], [12, 2]], 1/92160], [[[2, 5], [4, 4], [10, 1], [20, 1]], 1/25600], [[[2, 5], [4, 4], [10, 2], [12, 1]], 1/153600], [[[2, 5], [4, 4], [12, 1], [20, 1]], 1/30720], [[[2, 5], [4, 5], [6, 3], [8, 1]], 7/21233664], [[[2, 5], [4, 5], [8, 1], [14, 1]], 1/917504], [[[2, 5], [4, 6], [6, 2], [10, 1]], 1/35389440], [[[2, 5], [4, 6], [6, 2], [12, 1]], 11/10616832], [[[2, 5], [4, 6], [10, 1], [12, 1]], 11/2949120], [[[2, 5], [4, 7], [6, 1], [8, 1]], 197/1698693120], [[[2, 7], [4, 1], [6, 2], [8, 3]], 1/1572864], [[[2, 7], [4, 1], [8, 2], [16, 1]], 1/1474560], [[[2, 7], [4, 1], [8, 3], [10, 1]], 1/3932160], [[[2, 7], [4, 2], [6, 1], [10, 3]], 1/192000], [[[2, 7], [4, 2], [6, 3], [8, 2]], 11/5308416], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/345600], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/1161216], [[[2, 7], [4, 2], [6, 5], [10, 1]], 1/2488320], [[[2, 7], [4, 2], [6, 5], [12, 1]], 1/746496], [[[2, 7], [4, 2], [8, 2], [14, 1]], 1/2752512], [[[2, 7], [4, 2], [10, 2], [14, 1]], 1/89600], [[[2, 7], [4, 3], [6, 4], [8, 1]], 11/10616832], [[[2, 7], [4, 3], [8, 1], [10, 2]], 1/491520], [[[2, 7], [4, 3], [8, 1], [12, 2]], 1/3317760], [[[2, 7], [4, 3], [8, 1], [20, 1]], 1/921600], [[[2, 7], [4, 4], [6, 1], [8, 2]], 287/377487360], [[[2, 7], [4, 4], [6, 1], [10, 2]], 13/7372800], [[[2, 7], [4, 4], [6, 1], [12, 2]], 1/1327104], [[[2, 7], [4, 4], [6, 1], [20, 1]], 1/368640], [[[2, 7], [4, 4], [6, 2], [14, 1]], 1/2064384], [[[2, 7], [4, 4], [6, 3], [10, 1]], 1/1327104], [[[2, 7], [4, 4], [6, 3], [12, 1]], 1/995328], [[[2, 7], [4, 4], [10, 1], [14, 1]], 1/573440], [[[2, 7], [4, 5], [6, 2], [8, 1]], 31/75497472], [[[2, 7], [4, 5], [8, 1], [10, 1]], 11/37748736], [[[2, 7], [4, 5], [8, 1], [12, 1]], 7/53084160], [[[2, 7], [4, 6], [6, 1], [10, 1]], 53/283115520], [[[2, 7], [4, 6], [6, 1], [12, 1]], 31/84934656], [[[2, 7], [6, 1], [8, 2], [10, 2]], 1/153600], [[[2, 7], [6, 3], [8, 2], [10, 1]], 1/276480], [[[2, 9], [4, 1], [6, 1], [8, 3]], 1/47185920], [[[2, 9], [4, 1], [6, 5], [8, 1]], 1/1327104], [[[2, 9], [4, 2], [6, 2], [8, 2]], 25/56623104], [[[2, 9], [4, 2], [6, 2], [10, 2]], 11/1843200], [[[2, 9], [4, 2], [6, 3], [14, 1]], 1/580608], [[[2, 9], [4, 2], [6, 4], [10, 1]], 47/19906560], [[[2, 9], [4, 2], [6, 4], [12, 1]], 17/23887872], [[[2, 9], [4, 2], [8, 1], [16, 1]], 1/94371840], [[[2, 9], [4, 2], [8, 2], [10, 1]], 43/235929600], [[[2, 9], [4, 2], [10, 2], [12, 1]], 1/1843200], [[[2, 9], [4, 3], [6, 3], [8, 1]], 131/212336640], [[[2, 9], [4, 3], [8, 1], [14, 1]], 1/10321920], [[[2, 9], [4, 4], [6, 1], [14, 1]], 5/16515072], [[[2, 9], [4, 4], [6, 2], [10, 1]], 7/9437184], [[[2, 9], [4, 4], [6, 2], [12, 1]], 13/53084160], [[[2, 9], [4, 4], [10, 1], [12, 1]], 1/11059200], [[[2, 9], [4, 5], [6, 1], [8, 1]], 23/452984832], [[[2, 9], [6, 1], [10, 2], [14, 1]], 1/33600], [[[2, 9], [6, 2], [8, 2], [10, 1]], 1/983040], [[[2, 9], [6, 3], [10, 1], [14, 1]], 1/60480], [[[2, 11], [4, 1], [6, 4], [8, 1]], 61/212336640], [[[2, 11], [4, 1], [8, 1], [10, 2]], 1/5898240], [[[2, 11], [4, 2], [6, 1], [8, 2]], 1319/95126814720], [[[2, 11], [4, 2], [6, 1], [10, 2]], 43/73728000], [[[2, 11], [4, 2], [6, 2], [14, 1]], 13/30965760], [[[2, 11], [4, 2], [6, 3], [10, 1]], 391/398131200], [[[2, 11], [4, 2], [6, 3], [12, 1]], 13/119439360], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/6451200], [[[2, 11], [4, 3], [6, 2], [8, 1]], 2189/31708938240], [[[2, 11], [4, 3], [8, 1], [10, 1]], 401/15854469120], [[[2, 11], [4, 3], [8, 1], [12, 1]], 1/3397386240], [[[2, 11], [4, 4], [6, 1], [10, 1]], 277/5662310400], [[[2, 11], [4, 4], [6, 1], [12, 1]], 19/2548039680], [[[2, 11], [6, 1], [8, 2], [10, 1]], 1/29491200], [[[2, 11], [6, 2], [10, 1], [14, 1]], 1/215040], [[[2, 13], [4, 1], [6, 3], [8, 1]], 341/11890851840], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/1981808640], [[[2, 13], [4, 2], [6, 1], [14, 1]], 19/1486356480], [[[2, 13], [4, 2], [6, 2], [10, 1]], 12029/178362777600], [[[2, 13], [4, 2], [6, 2], [12, 1]], 29/7644119040], [[[2, 13], [4, 2], [10, 1], [12, 1]], 1/2123366400], [[[2, 13], [4, 3], [6, 1], [8, 1]], 1697/951268147200], [[[2, 13], [6, 1], [10, 1], [14, 1]], 1/6451200], [[[2, 15], [4, 1], [6, 2], [8, 1]], 1639/1902536294400], [[[2, 15], [4, 1], [8, 1], [10, 1]], 23/190253629440], [[[2, 15], [4, 2], [6, 1], [10, 1]], 9941/7134511104000], [[[2, 15], [4, 2], [6, 1], [12, 1]], 11/305764761600], [[[2, 17], [4, 1], [6, 1], [8, 1]], 29/3805072588800], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 1/131072], [[[1, 1], [2, 2], [3, 1], [4, 6], [16, 1]], 1/4423680], [[[1, 1], [2, 2], [3, 1], [4, 8], [8, 1]], 31/566231040], [[[1, 1], [2, 2], [3, 1], [8, 1], [16, 2]], 1/3072], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 7/8192], [[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 5/16384], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 4]], 5/393216], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 3]], 1/28672], [[[1, 1], [2, 2], [4, 2], [8, 3], [14, 1]], 1/28672], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 3]], 5/1179648], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 3]], 1/9216], [[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/12288], [[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 77/196608], [[[1, 1], [2, 2], [4, 3], [8, 2], [20, 1]], 3/10240], [[[1, 1], [2, 2], [4, 3], [8, 3], [10, 1]], 1/65536], [[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 5/98304], [[[1, 1], [2, 2], [4, 3], [12, 2], [16, 1]], 1/6144], [[[1, 1], [2, 2], [4, 3], [16, 1], [20, 1]], 3/5120], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 1/131072], [[[1, 1], [2, 2], [4, 4], [8, 2], [14, 1]], 1/229376], [[[1, 1], [2, 2], [4, 5], [5, 1], [8, 2]], 1/655360], [[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/24576], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/98304], [[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 1/20480], [[[1, 1], [2, 2], [4, 5], [8, 2], [10, 1]], 1/655360], [[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 25/393216], [[[1, 1], [2, 2], [4, 5], [12, 1], [16, 1]], 1/24576], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 2]], 121/283115520], [[[1, 1], [2, 2], [4, 6], [6, 1], [16, 1]], 1/4423680], [[[1, 1], [2, 2], [4, 6], [7, 1], [8, 1]], 1/5160960], [[[1, 1], [2, 2], [4, 6], [8, 1], [14, 1]], 1/5160960], [[[1, 1], [2, 2], [4, 7], [6, 2], [8, 1]], 31/849346560], [[[1, 1], [2, 2], [4, 7], [8, 1], [10, 1]], 31/235929600], [[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 43/7864320], [[[1, 1], [2, 2], [4, 8], [6, 1], [8, 1]], 31/566231040], [[[1, 1], [2, 2], [6, 1], [8, 1], [16, 2]], 1/3072], [[[1, 1], [2, 2], [6, 1], [8, 3], [16, 1]], 1/12288], [[[1, 1], [2, 2], [7, 1], [8, 2], [16, 1]], 1/3584], [[[1, 1], [2, 2], [8, 2], [14, 1], [16, 1]], 1/3584], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 3]], 1/41472], [[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 13/6291456], [[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/110592], [[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 1/92160], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 3]], 1/21233664], [[[1, 1], [2, 4], [3, 1], [4, 7], [6, 2]], 31/1274019840], [[[1, 1], [2, 4], [3, 1], [4, 7], [10, 1]], 13/117964800], [[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 43/35389440], [[[1, 1], [2, 4], [3, 1], [4, 8], [6, 1]], 47/1132462080], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 4]], 5/196608], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 3]], 1/442368], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 1/491520], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 35/1179648], [[[1, 1], [2, 4], [4, 2], [6, 4], [8, 2]], 1/5308416], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 1/409600], [[[1, 1], [2, 4], [4, 2], [8, 2], [12, 2]], 61/884736], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 23/196608], [[[1, 1], [2, 4], [4, 2], [8, 2], [20, 1]], 13/245760], [[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 17/327680], [[[1, 1], [2, 4], [4, 2], [8, 3], [12, 1]], 1/49152], [[[1, 1], [2, 4], [4, 2], [12, 2], [16, 1]], 1/55296], [[[1, 1], [2, 4], [4, 2], [16, 1], [20, 1]], 1/15360], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 209/2359296], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 1/41472], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 7/1769472], [[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 1/124416], [[[1, 1], [2, 4], [4, 3], [6, 3], [20, 1]], 1/34560], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 2]], 1/114688], [[[1, 1], [2, 4], [4, 3], [7, 1], [12, 2]], 1/32256], [[[1, 1], [2, 4], [4, 3], [7, 1], [20, 1]], 1/8960], [[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 5/114688], [[[1, 1], [2, 4], [4, 3], [12, 2], [14, 1]], 1/32256], [[[1, 1], [2, 4], [4, 3], [14, 1], [20, 1]], 1/8960], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 799/28311552], [[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 1/110592], [[[1, 1], [2, 4], [4, 4], [6, 2], [20, 1]], 1/30720], [[[1, 1], [2, 4], [4, 4], [6, 4], [12, 1]], 1/1990656], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 2]], 1/204800], [[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 5/55296], [[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 133/1572864], [[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 1/7680], [[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 257/2621440], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 1039/14155776], [[[1, 1], [2, 4], [4, 4], [10, 1], [12, 2]], 1/30720], [[[1, 1], [2, 4], [4, 4], [10, 1], [20, 1]], 3/25600], [[[1, 1], [2, 4], [4, 4], [10, 2], [12, 1]], 1/153600], [[[1, 1], [2, 4], [4, 4], [12, 1], [16, 1]], 19/221184], [[[1, 1], [2, 4], [4, 4], [12, 1], [20, 1]], 1/6144], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 59/6291456], [[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 1/110592], [[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 1/92160], [[[1, 1], [2, 4], [4, 5], [6, 3], [8, 1]], 7/21233664], [[[1, 1], [2, 4], [4, 5], [6, 3], [12, 1]], 7/1990656], [[[1, 1], [2, 4], [4, 5], [7, 1], [12, 1]], 1/129024], [[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 3/917504], [[[1, 1], [2, 4], [4, 5], [12, 1], [14, 1]], 1/129024], [[[1, 1], [2, 4], [4, 6], [5, 1], [8, 1]], 139/353894400], [[[1, 1], [2, 4], [4, 6], [6, 2], [8, 1]], 491/283115520], [[[1, 1], [2, 4], [4, 6], [6, 2], [10, 1]], 1/35389440], [[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 11/3538944], [[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 1103/235929600], [[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 181/7077888], [[[1, 1], [2, 4], [4, 6], [10, 1], [12, 1]], 11/983040], [[[1, 1], [2, 4], [4, 7], [5, 1], [6, 1]], 1/44236800], [[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 653/1698693120], [[[1, 1], [2, 4], [4, 7], [6, 1], [10, 1]], 31/353894400], [[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 43/35389440], [[[1, 1], [2, 4], [5, 1], [8, 2], [16, 1]], 1/61440], [[[1, 1], [2, 4], [6, 2], [8, 2], [16, 1]], 1/12288], [[[1, 1], [2, 4], [8, 2], [10, 1], [16, 1]], 1/20480], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 11/23592960], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 5]], 1/5971968], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 7/7962624], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 3]], 5/15925248], [[[1, 1], [2, 6], [3, 1], [4, 5], [14, 1]], 1/1376256], [[[1, 1], [2, 6], [3, 1], [4, 6], [6, 2]], 11/42467328], [[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 101/707788800], [[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 175/2038431744], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 2]], 1/165888], [[[1, 1], [2, 6], [3, 1], [8, 2], [16, 1]], 1/491520], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 23/4718592], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 5/884736], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 3/204800], [[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 79/5898240], [[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 13/3932160], [[[1, 1], [2, 6], [4, 1], [8, 3], [12, 1]], 1/589824], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 77/4718592], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/192000], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 131/5308416], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/345600], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/1161216], [[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/3981312], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 1/2488320], [[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 1/746496], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 13/2752512], [[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/89600], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 4]], 1/3317760], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 1/1572864], [[[1, 1], [2, 6], [4, 3], [5, 1], [10, 2]], 1/256000], [[[1, 1], [2, 6], [4, 3], [5, 1], [12, 2]], 1/552960], [[[1, 1], [2, 6], [4, 3], [5, 1], [20, 1]], 1/153600], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 11/589824], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1/153600], [[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 1/165888], [[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 1/147456], [[[1, 1], [2, 6], [4, 3], [6, 2], [20, 1]], 1/46080], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/387072], [[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 11/3538944], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 1/663552], [[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 5/663552], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 71/2457600], [[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 61/3317760], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 5/589824], [[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 1/57600], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 41/1572864], [[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 13/1572864], [[[1, 1], [2, 6], [4, 3], [10, 1], [12, 2]], 1/110592], [[[1, 1], [2, 6], [4, 3], [10, 1], [16, 1]], 1/40960], [[[1, 1], [2, 6], [4, 3], [10, 1], [20, 1]], 1/30720], [[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 7/153600], [[[1, 1], [2, 6], [4, 3], [12, 1], [16, 1]], 1/49152], [[[1, 1], [2, 6], [4, 3], [12, 1], [20, 1]], 1/92160], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 32041/1132462080], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 1/294912], [[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 1/147456], [[[1, 1], [2, 6], [4, 4], [6, 1], [20, 1]], 1/40960], [[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/688128], [[[1, 1], [2, 6], [4, 4], [6, 3], [8, 1]], 35/5308416], [[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 1/829440], [[[1, 1], [2, 6], [4, 4], [6, 3], [12, 1]], 1/248832], [[[1, 1], [2, 6], [4, 4], [8, 1], [14, 1]], 5/393216], [[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 3/573440], [[[1, 1], [2, 6], [4, 5], [5, 1], [6, 2]], 1/5898240], [[[1, 1], [2, 6], [4, 5], [5, 1], [10, 1]], 1/1638400], [[[1, 1], [2, 6], [4, 5], [5, 1], [12, 1]], 1/2211840], [[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/1376256], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1513/226492416], [[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 1/442368], [[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 115/10616832], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 3643/188743680], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 1529/106168320], [[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 269/8847360], [[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 493/188743680], [[[1, 1], [2, 6], [4, 6], [6, 1], [10, 1]], 37/56623104], [[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 3/1048576], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 2]], 1/153600], [[[1, 1], [2, 6], [6, 1], [8, 2], [16, 1]], 1/98304], [[[1, 1], [2, 6], [6, 1], [8, 3], [10, 1]], 1/122880], [[[1, 1], [2, 6], [6, 3], [8, 2], [10, 1]], 1/276480], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/2239488], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 11/3981312], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 47/47775744], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 67/566231040], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/1228800], [[[1, 1], [2, 8], [3, 1], [4, 3], [12, 2]], 1/19906560], [[[1, 1], [2, 8], [3, 1], [4, 3], [20, 1]], 1/5529600], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 31/28311552], [[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 35/113246208], [[[1, 1], [2, 8], [3, 1], [4, 5], [10, 1]], 31/283115520], [[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 1/19906560], [[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 47/1698693120], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 2]], 1/589824], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/21600], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/36288], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 1/1492992], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/77760], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 1/1244160], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 7/15728640], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/24000], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 41/7077888], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 1/28800], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/82944], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 25/3981312], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/155520], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 1/746496], [[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 1/1376256], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 3/44800], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 547/56623104], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 11/614400], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 1/145152], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 269/31850496], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 113/19906560], [[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 125/23887872], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 17/1228800], [[[1, 1], [2, 8], [4, 2], [8, 1], [12, 2]], 1/10321920], [[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 97/94371840], [[[1, 1], [2, 8], [4, 2], [8, 1], [20, 1]], 1/2867200], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1153/235929600], [[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 1/2211840], [[[1, 1], [2, 8], [4, 2], [10, 2], [12, 1]], 13/1843200], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 3]], 1/1658880], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 827/188743680], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 89/3686400], [[[1, 1], [2, 8], [4, 3], [6, 1], [12, 2]], 1/2211840], [[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 1/589824], [[[1, 1], [2, 8], [4, 3], [6, 1], [20, 1]], 1/614400], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/129024], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 517/70778880], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 91/6635520], [[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 19/2654208], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/645120], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 8], [4, 4], [5, 1], [8, 1]], 1/29491200], [[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 11/5505024], [[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 1979/377487360], [[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 533/141557760], [[[1, 1], [2, 8], [4, 4], [6, 2], [12, 1]], 133/53084160], [[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 3199/943718400], [[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 85/99090432], [[[1, 1], [2, 8], [4, 4], [10, 1], [12, 1]], 1/691200], [[[1, 1], [2, 8], [4, 5], [5, 1], [6, 1]], 1/9437184], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 4751/2264924160], [[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 203/56623104], [[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 151/47185920], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 1/33600], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/38400], [[[1, 1], [2, 8], [6, 2], [8, 2], [10, 1]], 23/2949120], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/60480], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/103680], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 5/7962624], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 131/79626240], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 391/955514880], [[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 1/15482880], [[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 23/169869312], [[[1, 1], [2, 10], [3, 1], [4, 4], [8, 1]], 1181/95126814720], [[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 277/13589544960], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 2]], 1/17694720], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 11/691200], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/129024], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 17/47775744], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 37/2488320], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 1/3686400], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 17/39813120], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 1/3072000], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 23/23592960], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 7/204800], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 7/663552], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 3193/637009920], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 601/39813120], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 17/23887872], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 131/29491200], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/198180864], [[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 11/29491200], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 1/1843200], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 47183/95126814720], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 503/73728000], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 19/4423680], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 157/39813120], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 3211/398131200], [[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 193/119439360], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 23/41287680], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/403200], [[[1, 1], [2, 10], [4, 3], [5, 1], [6, 2]], 13/88473600], [[[1, 1], [2, 10], [4, 3], [5, 1], [10, 1]], 1/18432000], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/327680], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 18743/10569646080], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1471/176947200], [[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 13/8847360], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 60973/79272345600], [[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 67/3397386240], [[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 23/44236800], [[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 3449/6341787648], [[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 283/377487360], [[[1, 1], [2, 10], [4, 4], [6, 1], [12, 1]], 451/2548039680], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/245760], [[[1, 1], [2, 10], [6, 1], [8, 2], [10, 1]], 7/9830400], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 1/344064], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 23/645120], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 19/3317760], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/860160], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 161/955514880], [[[1, 1], [2, 12], [3, 1], [4, 1], [8, 2]], 1/4529848320], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/14745600], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 2189/11890851840], [[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 12029/428070666240], [[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1109/118908518400], [[[1, 1], [2, 12], [3, 1], [4, 3], [12, 1]], 1/5096079360], [[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 283/114152177664], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 2]], 1/3397386240], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/2211840], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1/3870720], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 13/238878720], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 73/33177600], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 13/199065600], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 181/6341787648], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 73/24576000], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 13/6193152], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 31319/35672555520], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 2047/398131200], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 13/119439360], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 43/1981808640], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 19/25804800], [[[1, 1], [2, 12], [4, 2], [5, 1], [8, 1]], 1/5662310400], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 451/1486356480], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 109247/285380444160], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 232277/178362777600], [[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 839/7644119040], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 1511/11324620800], [[[1, 1], [2, 12], [4, 2], [8, 1], [12, 1]], 1/1698693120], [[[1, 1], [2, 12], [4, 2], [10, 1], [12, 1]], 43/2123366400], [[[1, 1], [2, 12], [4, 3], [5, 1], [6, 1]], 19/4246732800], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 22859/317089382400], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 59237/118908518400], [[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 73/1698693120], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 1/10321920], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 1/307200], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 47/88473600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 227/20065812480], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/2972712960], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1697/356725555200], [[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 11/158544691200], [[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 9941/17122826649600], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/743178240], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 29/15288238080], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 181/2786918400], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/4246732800], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 29/12740198400], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/3538944000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 181/2972712960], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 227257/5707608883200], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 14753/44590694400], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 29/7644119040], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 6703/951268147200], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/2123366400], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 3791/407686348800], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 324881/7134511104000], [[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 551/305764761600], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 79/5945425920], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 257/951268147200], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 59/1426902220800], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 13/570760888320], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 11/611529523200], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 23/71345111040], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 11/509607936000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 169/326149079040], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 46703/7134511104000], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 11/305764761600], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 29/13698261319680], [[[1, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/4608], [[[1, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/1280], [[[1, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 4]], 5/393216], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 1/131072], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 2]], 121/283115520], [[[1, 2], [2, 1], [3, 1], [4, 6], [16, 1]], 1/4423680], [[[1, 2], [2, 1], [3, 1], [4, 8], [8, 1]], 31/566231040], [[[1, 2], [2, 1], [3, 1], [8, 1], [16, 2]], 1/3072], [[[1, 2], [2, 1], [3, 1], [8, 3], [16, 1]], 1/12288], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 3]], 5/1179648], [[[1, 2], [2, 1], [3, 2], [4, 7], [8, 1]], 31/849346560], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 7/8192], [[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 5/16384], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 3]], 1/28672], [[[1, 2], [2, 1], [4, 2], [8, 3], [14, 1]], 1/28672], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 3]], 1/65536], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 3]], 1/9216], [[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/12288], [[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 77/196608], [[[1, 2], [2, 1], [4, 3], [8, 2], [20, 1]], 3/10240], [[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 5/98304], [[[1, 2], [2, 1], [4, 3], [12, 2], [16, 1]], 1/6144], [[[1, 2], [2, 1], [4, 3], [16, 1], [20, 1]], 3/5120], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 1/131072], [[[1, 2], [2, 1], [4, 4], [7, 1], [8, 2]], 1/229376], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 2]], 1/655360], [[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/24576], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/98304], [[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 1/20480], [[[1, 2], [2, 1], [4, 5], [8, 2], [10, 1]], 1/655360], [[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 25/393216], [[[1, 2], [2, 1], [4, 5], [12, 1], [16, 1]], 1/24576], [[[1, 2], [2, 1], [4, 6], [6, 1], [16, 1]], 1/4423680], [[[1, 2], [2, 1], [4, 6], [7, 1], [8, 1]], 1/5160960], [[[1, 2], [2, 1], [4, 6], [8, 1], [14, 1]], 1/5160960], [[[1, 2], [2, 1], [4, 7], [5, 1], [8, 1]], 31/235929600], [[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 43/7864320], [[[1, 2], [2, 1], [4, 8], [6, 1], [8, 1]], 31/566231040], [[[1, 2], [2, 1], [6, 1], [8, 1], [16, 2]], 1/3072], [[[1, 2], [2, 1], [7, 1], [8, 2], [16, 1]], 1/3584], [[[1, 2], [2, 1], [8, 2], [14, 1], [16, 1]], 1/3584], [[[1, 2], [2, 3], [3, 1], [4, 1], [16, 2]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 49/786432], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 85/2097152], [[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 1/36864], [[[1, 2], [2, 3], [3, 1], [4, 5], [16, 1]], 1/147456], [[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 3]], 1/21233664], [[[1, 2], [2, 3], [3, 1], [4, 6], [7, 1]], 1/7741440], [[[1, 2], [2, 3], [3, 1], [4, 6], [14, 1]], 1/7741440], [[[1, 2], [2, 3], [3, 1], [4, 7], [6, 2]], 217/1274019840], [[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 43/20971520], [[[1, 2], [2, 3], [3, 1], [4, 7], [10, 1]], 11/70778880], [[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 43/11796480], [[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 547/3397386240], [[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 17/3145728], [[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 1/110592], [[[1, 2], [2, 3], [3, 2], [4, 4], [20, 1]], 1/30720], [[[1, 2], [2, 3], [3, 2], [4, 6], [6, 2]], 19/127401984], [[[1, 2], [2, 3], [3, 2], [4, 6], [10, 1]], 47/530841600], [[[1, 2], [2, 3], [3, 2], [4, 6], [12, 1]], 13/3538944], [[[1, 2], [2, 3], [3, 2], [4, 7], [6, 1]], 31/212336640], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 4]], 5/196608], [[[1, 2], [2, 3], [4, 1], [6, 1], [16, 2]], 1/3072], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 3]], 1/14336], [[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 1/14336], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 7/491520], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 35/1179648], [[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 29/147456], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 257/196608], [[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 1/8192], [[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 21/327680], [[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 3/16384], [[[1, 2], [2, 3], [4, 2], [12, 2], [16, 1]], 7/55296], [[[1, 2], [2, 3], [4, 2], [16, 1], [20, 1]], 7/15360], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 343/2359296], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1/13824], [[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 7/1769472], [[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 1/124416], [[[1, 2], [2, 3], [4, 3], [6, 3], [20, 1]], 1/34560], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 65/344064], [[[1, 2], [2, 3], [4, 3], [7, 1], [12, 2]], 1/10752], [[[1, 2], [2, 3], [4, 3], [7, 1], [20, 1]], 3/8960], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 11/49152], [[[1, 2], [2, 3], [4, 3], [12, 2], [14, 1]], 1/10752], [[[1, 2], [2, 3], [4, 3], [14, 1], [20, 1]], 3/8960], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 47/2621440], [[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 1/92160], [[[1, 2], [2, 3], [4, 4], [5, 1], [20, 1]], 1/25600], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 883/28311552], [[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 5/331776], [[[1, 2], [2, 3], [4, 4], [6, 2], [20, 1]], 1/18432], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 2]], 1/204800], [[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 31/110592], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 83/262144], [[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 13/30720], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 871/7864320], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 917/2359296], [[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 1/30720], [[[1, 2], [2, 3], [4, 4], [10, 1], [20, 1]], 3/25600], [[[1, 2], [2, 3], [4, 4], [12, 1], [16, 1]], 61/221184], [[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 1/3072], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 301/6291456], [[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 1/36864], [[[1, 2], [2, 3], [4, 5], [6, 1], [16, 1]], 1/147456], [[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 1/30720], [[[1, 2], [2, 3], [4, 5], [6, 3], [12, 1]], 7/1990656], [[[1, 2], [2, 3], [4, 5], [7, 1], [8, 1]], 19/2752512], [[[1, 2], [2, 3], [4, 5], [7, 1], [12, 1]], 1/43008], [[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 25/2752512], [[[1, 2], [2, 3], [4, 5], [12, 1], [14, 1]], 1/43008], [[[1, 2], [2, 3], [4, 6], [5, 1], [6, 2]], 47/530841600], [[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 433/353894400], [[[1, 2], [2, 3], [4, 6], [5, 1], [10, 1]], 1/9830400], [[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 11/2949120], [[[1, 2], [2, 3], [4, 6], [6, 1], [7, 1]], 1/7741440], [[[1, 2], [2, 3], [4, 6], [6, 1], [14, 1]], 1/7741440], [[[1, 2], [2, 3], [4, 6], [6, 2], [8, 1]], 491/283115520], [[[1, 2], [2, 3], [4, 6], [6, 2], [12, 1]], 61/10616832], [[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 433/78643200], [[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 571/7077888], [[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 11/983040], [[[1, 2], [2, 3], [4, 7], [5, 1], [6, 1]], 1/14745600], [[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 1313/566231040], [[[1, 2], [2, 3], [4, 7], [6, 1], [10, 1]], 31/353894400], [[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 43/11796480], [[[1, 2], [2, 3], [5, 1], [8, 2], [16, 1]], 7/61440], [[[1, 2], [2, 3], [6, 2], [8, 2], [16, 1]], 1/12288], [[[1, 2], [2, 3], [8, 2], [10, 1], [16, 1]], 3/20480], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 151/23592960], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 5]], 1/5971968], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 139/95551488], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 493/25165824], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 2]], 31/7372800], [[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 77/1327104], [[[1, 2], [2, 5], [3, 1], [4, 4], [16, 1]], 1/147456], [[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 29/368640], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 109/31850496], [[[1, 2], [2, 5], [3, 1], [4, 5], [14, 1]], 1/458752], [[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 1247/4246732800], [[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 683/318504960], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 26261/4246732800], [[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 1043/265420800], [[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 1391/84934656], [[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 17483/10192158720], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 3]], 1/73728], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 13/1990656], [[[1, 2], [2, 5], [3, 1], [8, 2], [10, 2]], 1/153600], [[[1, 2], [2, 5], [3, 1], [8, 2], [16, 1]], 43/1474560], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 3]], 1/14155776], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 4]], 1/497664], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 157/47775744], [[[1, 2], [2, 5], [3, 2], [4, 4], [14, 1]], 5/2064384], [[[1, 2], [2, 5], [3, 2], [4, 5], [6, 2]], 5/2654208], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 463/679477248], [[[1, 2], [2, 5], [3, 2], [4, 6], [6, 1]], 461/1274019840], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 55/995328], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 17/3932160], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 109/2359296], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 5/884736], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 3/204800], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 17/131072], [[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 33/655360], [[[1, 2], [2, 5], [4, 1], [8, 3], [12, 1]], 19/589824], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1121/4718592], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 43/884736], [[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 1/124416], [[[1, 2], [2, 5], [4, 2], [6, 3], [16, 1]], 1/55296], [[[1, 2], [2, 5], [4, 2], [6, 3], [20, 1]], 1/34560], [[[1, 2], [2, 5], [4, 2], [6, 4], [7, 1]], 1/1161216], [[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 1/3981312], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 19/917504], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 2]], 1/89600], [[[1, 2], [2, 5], [4, 2], [7, 1], [12, 2]], 1/96768], [[[1, 2], [2, 5], [4, 2], [7, 1], [16, 1]], 1/14336], [[[1, 2], [2, 5], [4, 2], [7, 1], [20, 1]], 1/26880], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 121/1376256], [[[1, 2], [2, 5], [4, 2], [12, 2], [14, 1]], 1/96768], [[[1, 2], [2, 5], [4, 2], [14, 1], [16, 1]], 1/14336], [[[1, 2], [2, 5], [4, 2], [14, 1], [20, 1]], 1/26880], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 4]], 1/3317760], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 371/23592960], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 1/256000], [[[1, 2], [2, 5], [4, 3], [5, 1], [12, 2]], 1/61440], [[[1, 2], [2, 5], [4, 3], [5, 1], [20, 1]], 3/51200], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 253/1179648], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 1/153600], [[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 5/165888], [[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 1/49152], [[[1, 2], [2, 5], [4, 3], [6, 2], [20, 1]], 1/9216], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 1/387072], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 11/3538944], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 1/663552], [[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 5/663552], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 53/819200], [[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 7/55296], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 197/589824], [[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 7/61440], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1163/2621440], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 377/1572864], [[[1, 2], [2, 5], [4, 3], [10, 1], [12, 2]], 29/552960], [[[1, 2], [2, 5], [4, 3], [10, 1], [16, 1]], 3/40960], [[[1, 2], [2, 5], [4, 3], [10, 1], [20, 1]], 29/153600], [[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 7/153600], [[[1, 2], [2, 5], [4, 3], [12, 1], [16, 1]], 25/147456], [[[1, 2], [2, 5], [4, 3], [12, 1], [20, 1]], 1/10240], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 3]], 19/13271040], [[[1, 2], [2, 5], [4, 4], [5, 1], [14, 1]], 1/573440], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 17845/113246208], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 7/1228800], [[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 49/663552], [[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 1/147456], [[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 5/36864], [[[1, 2], [2, 5], [4, 4], [6, 2], [7, 1]], 1/2064384], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/294912], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 251/10616832], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 11/4423680], [[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 1/31104], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 1/24576], [[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 1/573440], [[[1, 2], [2, 5], [4, 4], [7, 1], [12, 1]], 19/387072], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 75/917504], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 3/573440], [[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 19/387072], [[[1, 2], [2, 5], [4, 5], [5, 1], [6, 2]], 1/1966080], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 983/188743680], [[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 3/1638400], [[[1, 2], [2, 5], [4, 5], [5, 1], [12, 1]], 1/245760], [[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 1/458752], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 4003/113246208], [[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 29/8847360], [[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 401/10616832], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 2959/31457280], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 2461/14155776], [[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 887/8847360], [[[1, 2], [2, 5], [4, 6], [5, 1], [6, 1]], 1171/1061683200], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 8521/566231040], [[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 2761/707788800], [[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 967/42467328], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 2]], 1/276480], [[[1, 2], [2, 5], [6, 1], [8, 2], [16, 1]], 3/32768], [[[1, 2], [2, 5], [6, 1], [8, 3], [10, 1]], 1/122880], [[[1, 2], [2, 5], [6, 3], [8, 1], [16, 1]], 1/55296], [[[1, 2], [2, 5], [7, 1], [8, 1], [16, 1]], 1/43008], [[[1, 2], [2, 5], [8, 1], [14, 1], [16, 1]], 1/43008], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 1/2239488], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 3]], 25/28311552], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 85/11943936], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 893/47775744], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 2281/566231040], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 7/1228800], [[[1, 2], [2, 7], [3, 1], [4, 3], [12, 2]], 5/3981312], [[[1, 2], [2, 7], [3, 1], [4, 3], [20, 1]], 1/221184], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 10057/764411904], [[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 137/16515072], [[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 2275/339738624], [[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 2491/1358954496], [[[1, 2], [2, 7], [3, 1], [4, 5], [10, 1]], 307/283115520], [[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 73/79626240], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 114113/50960793600], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 1/933120], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 3]], 1/2359296], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 1/72000], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 271/15925248], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 7/129600], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 13/435456], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 13/1492992], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 13/933120], [[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/33600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1/186624], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 367/23887872], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 227/849346560], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 1/1105920], [[[1, 2], [2, 7], [3, 2], [4, 2], [12, 2]], 1/9953280], [[[1, 2], [2, 7], [3, 2], [4, 2], [20, 1]], 1/2764800], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1/147456], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 413/169869312], [[[1, 2], [2, 7], [3, 2], [4, 4], [10, 1]], 199/424673280], [[[1, 2], [2, 7], [3, 2], [4, 4], [12, 1]], 23/159252480], [[[1, 2], [2, 7], [3, 2], [4, 5], [6, 1]], 55/169869312], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 7/3538944], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/129600], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 19/217728], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 19/466560], [[[1, 2], [2, 7], [3, 2], [8, 1], [16, 1]], 1/4423680], [[[1, 2], [2, 7], [3, 2], [8, 2], [10, 1]], 1/8847360], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 1/1244160], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 145/9437184], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/24000], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 325/7077888], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1/28800], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 1/82944], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 13/1327104], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/155520], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 1/746496], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 13/1376256], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 3/44800], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 13/2211840], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 131/78643200], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 101/1536000], [[[1, 2], [2, 7], [4, 2], [5, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 7], [4, 2], [5, 1], [16, 1]], 1/245760], [[[1, 2], [2, 7], [4, 2], [5, 1], [20, 1]], 1/460800], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1667/18874368], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 121/1843200], [[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 1/663552], [[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 1/73728], [[[1, 2], [2, 7], [4, 2], [6, 2], [20, 1]], 1/184320], [[[1, 2], [2, 7], [4, 2], [6, 3], [7, 1]], 1/580608], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 11/387072], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 1259/31850496], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 25/1327104], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 19/1327104], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 23/122880], [[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 199/30965760], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 151/7864320], [[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 59/8601600], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1163/15728640], [[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 917/70778880], [[[1, 2], [2, 7], [4, 2], [10, 1], [12, 2]], 1/552960], [[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 1/49152], [[[1, 2], [2, 7], [4, 2], [10, 1], [20, 1]], 1/153600], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 17/307200], [[[1, 2], [2, 7], [4, 2], [12, 1], [16, 1]], 1/147456], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 3]], 1/414720], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 23317/188743680], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 203/3686400], [[[1, 2], [2, 7], [4, 3], [6, 1], [12, 2]], 43/6635520], [[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 1/65536], [[[1, 2], [2, 7], [4, 3], [6, 1], [20, 1]], 43/1843200], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/36864], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1093/21233664], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 181/6635520], [[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 95/2654208], [[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 1/10321920], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 67/1376256], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 13/215040], [[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 53/15728640], [[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 43/14745600], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 943/117964800], [[[1, 2], [2, 7], [4, 4], [5, 1], [12, 1]], 49/16588800], [[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 5/16515072], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 103/8257536], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 67357/1132462080], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 2191/70778880], [[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 421/10616832], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 100499/943718400], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 2981/55050240], [[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 299/4423680], [[[1, 2], [2, 7], [4, 5], [5, 1], [6, 1]], 11/15728640], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 73511/2264924160], [[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 815/56623104], [[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 11059/424673280], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 2]], 1/983040], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 1/36000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 2], [2, 7], [5, 1], [8, 1], [16, 1]], 1/737280], [[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 11/2457600], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 1/86016], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 1/38400], [[[1, 2], [2, 7], [6, 2], [8, 1], [16, 1]], 1/294912], [[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 41/1474560], [[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 1/60480], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/103680], [[[1, 2], [2, 7], [8, 1], [10, 1], [16, 1]], 1/245760], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 173/7962624], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 17627/955514880], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 4103/10569646080], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 29/4915200], [[[1, 2], [2, 9], [3, 1], [4, 2], [12, 2]], 1/69672960], [[[1, 2], [2, 9], [3, 1], [4, 2], [16, 1]], 1/8847360], [[[1, 2], [2, 9], [3, 1], [4, 2], [20, 1]], 1/19353600], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 3847/238878720], [[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 1/967680], [[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 29/1132462080], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 7337/1274019840], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 40129/95126814720], [[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 2809/2123366400], [[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 5629/17836277760], [[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 2053/2717908992], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 17/29859840], [[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 1/2304000], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 121/53084160], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 7/69120], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 223/3483648], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 569/47775744], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 277/3732480], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 13/3686400], [[[1, 2], [2, 9], [3, 1], [8, 1], [16, 1]], 1/30965760], [[[1, 2], [2, 9], [3, 1], [8, 2], [10, 1]], 19/44236800], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 37/5971968], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 2509/477757440], [[[1, 2], [2, 9], [3, 2], [4, 2], [14, 1]], 19/92897280], [[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 67/53084160], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1853/31708938240], [[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 631/5096079360], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 2]], 1/106168320], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 11/4147200], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/258048], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 1/442368], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 559/14929920], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 25/7962624], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 13/3072000], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 97/5898240], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 247/1843200], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 253/4644864], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 1417/42467328], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 2029/39813120], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 125/23887872], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 83/1966080], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 59/141557760], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 487/58982400], [[[1, 2], [2, 9], [4, 1], [8, 2], [12, 1]], 1/6881280], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 13/1843200], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 23/4915200], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 1/6451200], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 31919/2642411520], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 709/7372800], [[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 1/15482880], [[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 1/983040], [[[1, 2], [2, 9], [4, 2], [6, 1], [20, 1]], 1/4300800], [[[1, 2], [2, 9], [4, 2], [6, 2], [7, 1]], 13/30965760], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 83/2064384], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 15701/318504960], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 917/13271040], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 37/2654208], [[[1, 2], [2, 9], [4, 2], [7, 1], [10, 1]], 1/6451200], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 383/41287680], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 17/286720], [[[1, 2], [2, 9], [4, 3], [5, 1], [6, 2]], 133/88473600], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 6119/26424115200], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 1/1152000], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 463/20643840], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 11839/377487360], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 8771/176947200], [[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 143/8847360], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 5681/314572800], [[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 10931/7927234560], [[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 383/44236800], [[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 1627/1415577600], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 160747/10569646080], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 8783/353894400], [[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 367/41287680], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 2]], 1/29491200], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 11/1152000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 1/215040], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 37/4147200], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 1/537600], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 41/1228800], [[[1, 2], [2, 9], [6, 1], [8, 1], [16, 1]], 1/6881280], [[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 41/5898240], [[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 1/215040], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 23/1032192], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 17/322560], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 23/663552], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 13/860160], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 2083/191102976], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 43/4529848320], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 19/14745600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 552653/107017666560], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 169/495452160], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 23377/12230590464], [[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 14899/190253629440], [[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 25133/118908518400], [[[1, 2], [2, 11], [3, 1], [4, 3], [12, 1]], 43/5096079360], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 473717/1712282664960], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 13/149299200], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 493/10192158720], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 167/18432000], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 19/2903040], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 1043/477757440], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 8729/298598400], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/2419200], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 73/79626240], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 13591/71345111040], [[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 1409/35672555520], [[[1, 2], [2, 11], [3, 2], [4, 2], [12, 1]], 1/7644119040], [[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 401/14269022208], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 1/23224320], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 1/13271040], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 283/199065600], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 193/199065600], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 27743/31708938240], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 2749/73728000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 145/6193152], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 1667/141557760], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 18637/398131200], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 193/119439360], [[[1, 2], [2, 11], [4, 1], [7, 1], [8, 1]], 1/1981808640], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 509/660602880], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 319/25804800], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 1861/2202009600], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 43/5662310400], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 15613/49545216000], [[[1, 2], [2, 11], [4, 2], [5, 1], [12, 1]], 1/2123366400], [[[1, 2], [2, 11], [4, 2], [6, 1], [7, 1]], 19/1486356480], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 23/2293760], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 2820263/285380444160], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 21737/707788800], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 661/283115520], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 1835/452984832], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 341/11890851840], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 509/707788800], [[[1, 2], [2, 11], [4, 3], [5, 1], [6, 1]], 451/4246732800], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 166589/63417876480], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 959549/118908518400], [[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 1783/1698693120], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 1/6451200], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 73/55296000], [[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 1/6451200], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 1/491520], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 13/645120], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 737/88473600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 189097/160526499840], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 43/2972712960], [[[1, 2], [2, 13], [3, 1], [4, 2], [5, 1]], 151/1019215872000], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 151793/535088332800], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 113/29727129600], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 203/4246732800], [[[1, 2], [2, 13], [3, 1], [4, 2], [12, 1]], 91/305764761600], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 726413/17122826649600], [[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 29/9555148800], [[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 1/2654208000], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 41/445906944], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 10217/107017666560], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 3427/1911029760], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 43/4246732800], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 181/6688604160], [[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 169/1141521776640], [[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 5647/2140353331200], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 1/2548039680], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 181/16721510400], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 839/12740198400], [[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 113/317089382400], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 43/3538944000], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 4447/2972712960], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 33683/38050725888], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 148591/22295347200], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 839/7644119040], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 773/3523215360], [[[1, 2], [2, 13], [4, 1], [8, 1], [12, 1]], 1/3397386240], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 43/2123366400], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 4789/198180864000], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 1074587/2853804441600], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 428237/237817036800], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 233/3397386240], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 181/4644864000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 11231/29727129600], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 4469/135895449600], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1577/11415217766400], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 2951/1426902220800], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 9961/2446118092800], [[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 11/382205952000], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 9439/8561413324800], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 100267/5350883328000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 23/171228266496], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 551/509607936000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 68053/3805072588800], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 1566923/7134511104000], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 551/305764761600], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 15901/68491306598400], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 4]], 5/196608], [[[1, 3], [2, 2], [3, 1], [4, 1], [16, 2]], 1/3072], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 343/2359296], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1/13824], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 301/6291456], [[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 5], [16, 1]], 1/147456], [[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 1/30720], [[[1, 3], [2, 2], [3, 1], [4, 6], [7, 1]], 1/7741440], [[[1, 3], [2, 2], [3, 1], [4, 6], [14, 1]], 1/7741440], [[[1, 3], [2, 2], [3, 1], [4, 7], [5, 1]], 31/353894400], [[[1, 3], [2, 2], [3, 1], [4, 7], [6, 2]], 31/212336640], [[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 1313/566231040], [[[1, 3], [2, 2], [3, 1], [4, 7], [10, 1]], 1/14745600], [[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 43/11796480], [[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 547/3397386240], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 35/1179648], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 883/28311552], [[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 5/331776], [[[1, 3], [2, 2], [3, 2], [4, 4], [20, 1]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 6], [6, 2]], 19/127401984], [[[1, 3], [2, 2], [3, 2], [4, 6], [8, 1]], 491/283115520], [[[1, 3], [2, 2], [3, 2], [4, 6], [10, 1]], 47/530841600], [[[1, 3], [2, 2], [3, 2], [4, 6], [12, 1]], 61/10616832], [[[1, 3], [2, 2], [3, 2], [4, 7], [6, 1]], 217/1274019840], [[[1, 3], [2, 2], [3, 2], [8, 2], [16, 1]], 1/12288], [[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 7/1769472], [[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 1/124416], [[[1, 3], [2, 2], [3, 3], [4, 3], [20, 1]], 1/34560], [[[1, 3], [2, 2], [3, 3], [4, 5], [12, 1]], 7/1990656], [[[1, 3], [2, 2], [3, 3], [4, 6], [6, 1]], 1/21233664], [[[1, 3], [2, 2], [4, 1], [6, 1], [16, 2]], 1/3072], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 1/14336], [[[1, 3], [2, 2], [4, 1], [8, 3], [14, 1]], 1/14336], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 21/327680], [[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 29/147456], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 257/196608], [[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 1/8192], [[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 7/491520], [[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 3/16384], [[[1, 3], [2, 2], [4, 2], [12, 2], [16, 1]], 7/55296], [[[1, 3], [2, 2], [4, 2], [16, 1], [20, 1]], 7/15360], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 49/786432], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 1/13824], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 11/49152], [[[1, 3], [2, 2], [4, 3], [7, 1], [12, 2]], 1/10752], [[[1, 3], [2, 2], [4, 3], [7, 1], [20, 1]], 3/8960], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 65/344064], [[[1, 3], [2, 2], [4, 3], [12, 2], [14, 1]], 1/10752], [[[1, 3], [2, 2], [4, 3], [14, 1], [20, 1]], 3/8960], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 871/7864320], [[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 1/30720], [[[1, 3], [2, 2], [4, 4], [5, 1], [20, 1]], 3/25600], [[[1, 3], [2, 2], [4, 4], [5, 2], [8, 1]], 1/204800], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 17/3145728], [[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 1/110592], [[[1, 3], [2, 2], [4, 4], [6, 2], [20, 1]], 1/30720], [[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 31/110592], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 83/262144], [[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 13/30720], [[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 47/2621440], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 917/2359296], [[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 1/92160], [[[1, 3], [2, 2], [4, 4], [10, 1], [20, 1]], 1/25600], [[[1, 3], [2, 2], [4, 4], [12, 1], [16, 1]], 61/221184], [[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 1/3072], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 85/2097152], [[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 1/36864], [[[1, 3], [2, 2], [4, 5], [6, 1], [16, 1]], 1/147456], [[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 1/30720], [[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 25/2752512], [[[1, 3], [2, 2], [4, 5], [7, 1], [12, 1]], 1/43008], [[[1, 3], [2, 2], [4, 5], [8, 1], [14, 1]], 19/2752512], [[[1, 3], [2, 2], [4, 5], [12, 1], [14, 1]], 1/43008], [[[1, 3], [2, 2], [4, 6], [5, 1], [6, 2]], 47/530841600], [[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 433/78643200], [[[1, 3], [2, 2], [4, 6], [5, 1], [10, 1]], 1/9830400], [[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 11/983040], [[[1, 3], [2, 2], [4, 6], [6, 1], [7, 1]], 1/7741440], [[[1, 3], [2, 2], [4, 6], [6, 1], [14, 1]], 1/7741440], [[[1, 3], [2, 2], [4, 6], [6, 2], [12, 1]], 13/3538944], [[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 433/353894400], [[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 571/7077888], [[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 11/2949120], [[[1, 3], [2, 2], [4, 7], [5, 1], [6, 1]], 11/70778880], [[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 43/20971520], [[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 43/11796480], [[[1, 3], [2, 2], [5, 1], [8, 2], [16, 1]], 3/20480], [[[1, 3], [2, 2], [8, 2], [10, 1], [16, 1]], 7/61440], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 35/294912], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 4]], 55/95551488], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 26755/75497472], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 2]], 31/7372800], [[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 245/1327104], [[[1, 3], [2, 4], [3, 1], [4, 4], [16, 1]], 19/294912], [[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 101/368640], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 121/31850496], [[[1, 3], [2, 4], [3, 1], [4, 5], [7, 1]], 19/4128768], [[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 25/4128768], [[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 4139/4246732800], [[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 931/127401984], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 65369/1698693120], [[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 413/66355200], [[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 4547/84934656], [[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 3401/566231040], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 3]], 7/442368], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 2]], 1/1990656], [[[1, 3], [2, 4], [3, 1], [8, 2], [10, 2]], 1/153600], [[[1, 3], [2, 4], [3, 1], [8, 2], [16, 1]], 19/147456], [[[1, 3], [2, 4], [3, 1], [8, 3], [10, 1]], 1/40960], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 3]], 13/14155776], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 1/497664], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 35/884736], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 2]], 1/460800], [[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 17/497664], [[[1, 3], [2, 4], [3, 2], [4, 3], [16, 1]], 1/49152], [[[1, 3], [2, 4], [3, 2], [4, 3], [20, 1]], 17/138240], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 343/47775744], [[[1, 3], [2, 4], [3, 2], [4, 4], [14, 1]], 1/294912], [[[1, 3], [2, 4], [3, 2], [4, 5], [5, 1]], 7/5898240], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 197/21233664], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 12931/679477248], [[[1, 3], [2, 4], [3, 2], [4, 5], [10, 1]], 13/2949120], [[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 1133/31850496], [[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 7369/1274019840], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 3]], 1/442368], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 61/995328], [[[1, 3], [2, 4], [3, 2], [6, 3], [16, 1]], 1/6912], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 19/2985984], [[[1, 3], [2, 4], [3, 3], [4, 3], [14, 1]], 1/387072], [[[1, 3], [2, 4], [3, 3], [4, 4], [6, 2]], 31/7962624], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 29/21233664], [[[1, 3], [2, 4], [3, 3], [4, 5], [6, 1]], 11/15925248], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 2]], 1/165888], [[[1, 3], [2, 4], [3, 3], [6, 2], [16, 1]], 1/6912], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 25/786432], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 101/2359296], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 73/98304], [[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 49/655360], [[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 1/12288], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 197/589824], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 23/884736], [[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 1/124416], [[[1, 3], [2, 4], [4, 2], [6, 3], [16, 1]], 1/55296], [[[1, 3], [2, 4], [4, 2], [6, 3], [20, 1]], 1/34560], [[[1, 3], [2, 4], [4, 2], [6, 4], [7, 1]], 1/1161216], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 65/131072], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 2]], 1/89600], [[[1, 3], [2, 4], [4, 2], [7, 1], [12, 2]], 1/13824], [[[1, 3], [2, 4], [4, 2], [7, 1], [16, 1]], 3/14336], [[[1, 3], [2, 4], [4, 2], [7, 1], [20, 1]], 1/3840], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 769/1376256], [[[1, 3], [2, 4], [4, 2], [12, 2], [14, 1]], 1/13824], [[[1, 3], [2, 4], [4, 2], [14, 1], [16, 1]], 3/14336], [[[1, 3], [2, 4], [4, 2], [14, 1], [20, 1]], 1/3840], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1543/11796480], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/128000], [[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 13/276480], [[[1, 3], [2, 4], [4, 3], [5, 1], [16, 1]], 1/40960], [[[1, 3], [2, 4], [4, 3], [5, 1], [20, 1]], 13/76800], [[[1, 3], [2, 4], [4, 3], [5, 2], [6, 2]], 1/460800], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/128000], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 833/3538944], [[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 29/497664], [[[1, 3], [2, 4], [4, 3], [6, 2], [16, 1]], 5/147456], [[[1, 3], [2, 4], [4, 3], [6, 2], [20, 1]], 29/138240], [[[1, 3], [2, 4], [4, 3], [6, 3], [7, 1]], 1/387072], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 11/10616832], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 31/819200], [[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 37/110592], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 347/294912], [[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 13/30720], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 699/1310720], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1867/2359296], [[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 7/92160], [[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 3/40960], [[[1, 3], [2, 4], [4, 3], [10, 1], [20, 1]], 7/25600], [[[1, 3], [2, 4], [4, 3], [12, 1], [16, 1]], 19/36864], [[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 11/46080], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 3]], 19/13271040], [[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 3/573440], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 5849/12582912], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/245760], [[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 43/221184], [[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 19/294912], [[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 19/61440], [[[1, 3], [2, 4], [4, 4], [6, 2], [7, 1]], 1/688128], [[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 5/2064384], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 391/21233664], [[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 1/491520], [[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 29/995328], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 475/2752512], [[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 3/573440], [[[1, 3], [2, 4], [4, 4], [7, 1], [12, 1]], 61/387072], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 79/393216], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 1/573440], [[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 61/387072], [[[1, 3], [2, 4], [4, 5], [5, 1], [6, 2]], 7/1474560], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1375/37748736], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 29/4915200], [[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 353/8847360], [[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 19/4128768], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 25/4128768], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 5371/113246208], [[[1, 3], [2, 4], [4, 5], [6, 2], [10, 1]], 13/5898240], [[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 1991/31850496], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 3343/31457280], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 6917/14155776], [[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 313/2949120], [[[1, 3], [2, 4], [4, 6], [5, 1], [6, 1]], 3607/1061683200], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 25411/566231040], [[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 971/235929600], [[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 271/4718592], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 3]], 1/40960], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 2]], 1/276480], [[[1, 3], [2, 4], [6, 1], [8, 2], [16, 1]], 3/16384], [[[1, 3], [2, 4], [6, 3], [8, 1], [16, 1]], 1/55296], [[[1, 3], [2, 4], [7, 1], [8, 1], [16, 1]], 1/6144], [[[1, 3], [2, 4], [8, 1], [14, 1], [16, 1]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 349/28311552], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 1/96000], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 61/11943936], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1691/47775744], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 46181/566231040], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 31/737280], [[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 217/6635520], [[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 29/589824], [[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 97/1843200], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 21635/382205952], [[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 461/16515072], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1079/283115520], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 1067/28311552], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 90823/1358954496], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 1213/35389440], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 29107/424673280], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1107913/50960793600], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/933120], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 3]], 151/7077888], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 1/72000], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 353/7962624], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/129600], [[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 1/36288], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 1/435456], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 13/1492992], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/933120], [[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/33600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 31/2239488], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 1357/23887872], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 3737/849346560], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 23/5529600], [[[1, 3], [2, 6], [3, 2], [4, 2], [12, 2]], 7/3317760], [[[1, 3], [2, 6], [3, 2], [4, 2], [20, 1]], 7/921600], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 1817/23887872], [[[1, 3], [2, 6], [3, 2], [4, 3], [14, 1]], 1/48384], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 2947/56623104], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 22987/3397386240], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1387/424673280], [[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 343/159252480], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 1165/113246208], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 1/77760], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 19/393216], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 7/129600], [[[1, 3], [2, 6], [3, 2], [6, 2], [16, 1]], 1/55296], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 25/217728], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 35/497664], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 5/93312], [[[1, 3], [2, 6], [3, 2], [8, 1], [10, 2]], 1/115200], [[[1, 3], [2, 6], [3, 2], [8, 1], [16, 1]], 7/1474560], [[[1, 3], [2, 6], [3, 2], [8, 2], [10, 1]], 13/8847360], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 7/279936], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 1/7077888], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 77/1990656], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 83/7962624], [[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 1/1327104], [[[1, 3], [2, 6], [3, 3], [4, 3], [12, 1]], 1/7962624], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 319/254803968], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 2]], 1/5308416], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/36288], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 23/373248], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/77760], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 1357/9437184], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 247/3538944], [[[1, 3], [2, 6], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 1/82944], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 17/3981312], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 1/65536], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 3/44800], [[[1, 3], [2, 6], [4, 1], [7, 1], [16, 1]], 1/43008], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 43/688128], [[[1, 3], [2, 6], [4, 1], [14, 1], [16, 1]], 1/43008], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 1/147456], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 1167/26214400], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 239/1536000], [[[1, 3], [2, 6], [4, 2], [5, 1], [12, 2]], 13/1658880], [[[1, 3], [2, 6], [4, 2], [5, 1], [16, 1]], 3/81920], [[[1, 3], [2, 6], [4, 2], [5, 1], [20, 1]], 13/460800], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/2457600], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 7681/18874368], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 11/204800], [[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 1/73728], [[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 5/73728], [[[1, 3], [2, 6], [4, 2], [6, 2], [20, 1]], 1/20480], [[[1, 3], [2, 6], [4, 2], [6, 3], [7, 1]], 1/145152], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/43008], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 49/1179648], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 103/6635520], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 41/3981312], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 577/2457600], [[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 77/1474560], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 2063/7864320], [[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 17/409600], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 8189/15728640], [[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 671/4718592], [[[1, 3], [2, 6], [4, 2], [10, 1], [12, 2]], 1/61440], [[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 29/245760], [[[1, 3], [2, 6], [4, 2], [10, 1], [20, 1]], 3/51200], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 17/307200], [[[1, 3], [2, 6], [4, 2], [12, 1], [16, 1]], 11/147456], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 131/6635520], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 1/53760], [[[1, 3], [2, 6], [4, 3], [5, 2], [6, 1]], 1/460800], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 66847/113246208], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 79/1228800], [[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 199/3981312], [[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 25/294912], [[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 127/1105920], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/129024], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 31/774144], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 3125/21233664], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 43/1327104], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 293/3981312], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 103/860160], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/53760], [[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 5/129024], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1145/4128768], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 13/215040], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 5/129024], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1769/141557760], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 42887/943718400], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 139/4718592], [[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 923/33177600], [[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 11/5505024], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 251/8257536], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 25447/113246208], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 3311/70778880], [[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 1553/10616832], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 4617/10485760], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 27169/70778880], [[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 377/1474560], [[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 129/10485760], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 72383/452984832], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 6173/141557760], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 16151/127401984], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 2]], 23/2949120], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 1/36000], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 1/207360], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/129600], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/12800], [[[1, 3], [2, 6], [5, 1], [8, 1], [16, 1]], 13/737280], [[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 143/2457600], [[[1, 3], [2, 6], [5, 1], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 1/38400], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 1/86016], [[[1, 3], [2, 6], [6, 2], [8, 1], [16, 1]], 1/32768], [[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 11/491520], [[[1, 3], [2, 6], [6, 3], [7, 1], [8, 1]], 1/96768], [[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 1/60480], [[[1, 3], [2, 6], [8, 1], [10, 1], [16, 1]], 3/81920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 571/11943936], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 20503/191102976], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 23635/2113929216], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 667/14745600], [[[1, 3], [2, 8], [3, 1], [4, 2], [12, 2]], 29/69672960], [[[1, 3], [2, 8], [3, 1], [4, 2], [16, 1]], 5/1769472], [[[1, 3], [2, 8], [3, 1], [4, 2], [20, 1]], 29/19353600], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 52681/477757440], [[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 1/15482880], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 125/4128768], [[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 2369/5662310400], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 163819/2548039680], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 82037/6794772480], [[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 29689/2123366400], [[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 106541/17836277760], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 69721/3397386240], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 557/29859840], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 13/2304000], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 599/26542080], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 13/76800], [[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 1/129024], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 185/1741824], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 1195/23887872], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 743/7464960], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 7/614400], [[[1, 3], [2, 8], [3, 1], [8, 1], [16, 1]], 29/30965760], [[[1, 3], [2, 8], [3, 1], [8, 2], [10, 1]], 259/44236800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 3919/35831808], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 31/70778880], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 43/5529600], [[[1, 3], [2, 8], [3, 2], [4, 1], [16, 1]], 1/4423680], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 39859/477757440], [[[1, 3], [2, 8], [3, 2], [4, 2], [14, 1]], 37/13271040], [[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 1/9830400], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1607/42467328], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 139679/95126814720], [[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 2201/530841600], [[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 13/26542080], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 26611/5096079360], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 1/276480], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 2]], 97/106168320], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 119/4147200], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 55/774144], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 371/7962624], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 2851/14929920], [[[1, 3], [2, 8], [3, 2], [8, 1], [14, 1]], 1/3096576], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 13/1935360], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 739/35831808], [[[1, 3], [2, 8], [3, 3], [4, 1], [14, 1]], 1/4644864], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 311/79626240], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 73/637009920], [[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 13/35389440], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/1161216], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/491520], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 29/2488320], [[[1, 3], [2, 8], [3, 3], [8, 1], [10, 1]], 1/6635520], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 103/6635520], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 169/117964800], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1/16000], [[[1, 3], [2, 8], [4, 1], [5, 1], [16, 1]], 1/737280], [[[1, 3], [2, 8], [4, 1], [5, 2], [6, 2]], 1/614400], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 11/1536000], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 113/1179648], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 7/46080], [[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/294912], [[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 7/663552], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 155/2322432], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 8005/127401984], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 1069/19906560], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 29/3981312], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 87/655360], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 263/35389440], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 167/2621440], [[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 647/165150720], [[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 1/245760], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 1/61440], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1147/44236800], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 1/403200], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 80147/528482304], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1729/7372800], [[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 59/46448640], [[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 43/2949120], [[[1, 3], [2, 8], [4, 2], [6, 1], [20, 1]], 59/12902400], [[[1, 3], [2, 8], [4, 2], [6, 2], [7, 1]], 19/4423680], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 797/6193152], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 2767/14155776], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 217/1474560], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 121/2654208], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 23/41287680], [[[1, 3], [2, 8], [4, 2], [7, 1], [10, 1]], 1/403200], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 599/8257536], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 167/860160], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 427/19660800], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 175849/15854469120], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 5821/147456000], [[[1, 3], [2, 8], [4, 3], [5, 1], [12, 1]], 41/14745600], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 1/327680], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 241/3096576], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 248377/1132462080], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 359/2211840], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 35/442368], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 77957/314572800], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 23839/528482304], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 683/8847360], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 4141/471859200], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 107119/754974720], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 137/1310720], [[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 12841/185794560], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 2]], 7/9830400], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 59/1152000], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 23/645120], [[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 37/6635520], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 169/4147200], [[[1, 3], [2, 8], [5, 1], [8, 1], [14, 1]], 1/860160], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 13/537600], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 19/368640], [[[1, 3], [2, 8], [6, 1], [8, 1], [16, 1]], 59/20643840], [[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 181/5898240], [[[1, 3], [2, 8], [6, 2], [7, 1], [8, 1]], 1/344064], [[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 23/645120], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 17/516096], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 1/35840], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 19/414720], [[[1, 3], [2, 8], [7, 1], [8, 1], [10, 1]], 1/860160], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 1/28672], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 77999/955514880], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 12571/31708938240], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 851/73728000], [[[1, 3], [2, 10], [3, 1], [4, 1], [16, 1]], 1/30965760], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 275321/3822059520], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 2873/495452160], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 19589/118908518400], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 2372191/71345111040], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 16889/7046430720], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1237/212336640], [[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 16903/35672555520], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 10991273/1712282664960], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 1277/298598400], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 11497/10192158720], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 2971/55296000], [[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 523/11612160], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 10589/477757440], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 36257/298598400], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 1/3870720], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/151200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 45229/1433272320], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/2654208], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 742207/71345111040], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 57167/285380444160], [[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 135229/178362777600], [[[1, 3], [2, 10], [3, 2], [4, 2], [12, 1]], 43/7644119040], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 217/150994944], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 1/8294400], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 37/23224320], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 239/82575360], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 5761/199065600], [[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 19/88473600], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 307/477757440], [[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 1/15925248], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 3767/35672555520], [[[1, 3], [2, 10], [3, 3], [6, 1], [8, 1]], 1/79626240], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 7/19906560], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 1327/132710400], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 19/25804800], [[[1, 3], [2, 10], [4, 1], [5, 2], [6, 1]], 1/18432000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 113819/10569646080], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 1961/14745600], [[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 1/6881280], [[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 13/6193152], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 173/2064384], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 81007/1274019840], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 10433/79626240], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 31/3981312], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 43/1981808640], [[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 19/25804800], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 6359/660602880], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 293/5160960], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 65111/6606028800], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 5299/11324620800], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 281557/49545216000], [[[1, 3], [2, 10], [4, 2], [5, 1], [12, 1]], 43/2123366400], [[[1, 3], [2, 10], [4, 2], [6, 1], [7, 1]], 451/1486356480], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 4343/61931520], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 33841/377487360], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 123253/707788800], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 15901/849346560], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 86543/1887436800], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 9937/11890851840], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 6359/707788800], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 34331/7927234560], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 8408263/190253629440], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 38273/471859200], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 160283/11890851840], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 1/307200], [[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 73/88473600], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 883/55296000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 71/103219200], [[[1, 3], [2, 10], [6, 1], [7, 1], [8, 1]], 1/10321920], [[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 1/307200], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 13/1032192], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 29/645120], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 77/1966080], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 192779/10701766656], [[[1, 3], [2, 12], [3, 1], [4, 1], [7, 1]], 1/2972712960], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 157/424673280], [[[1, 3], [2, 12], [3, 1], [4, 2], [5, 1]], 6571/1019215872000], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 1679789/214035333120], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 164789/951268147200], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 16883/14863564800], [[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 3991/305764761600], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 1726603/1223059046400], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 12191/66886041600], [[[1, 3], [2, 12], [3, 1], [5, 1], [8, 1]], 1/2123366400], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 43/2654208000], [[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 1/743178240], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 3649/2229534720], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 12811/7644119040], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 1149683/66886041600], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 2707/14863564800], [[[1, 3], [2, 12], [3, 2], [4, 1], [5, 1]], 1/4246732800], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 412609/321052999680], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 7853/1141521776640], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 869/11147673600], [[[1, 3], [2, 12], [3, 2], [4, 1], [12, 1]], 1/7644119040], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 67381/305764761600], [[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 1/1592524800], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 599/17836277760], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 67/149299200], [[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 181/40131624960], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 6001/4954521600], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 121/7046430720], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 9239/24772608000], [[[1, 3], [2, 12], [4, 1], [5, 1], [12, 1]], 1/2123366400], [[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 181/2972712960], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 12221/990904320], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 1093129/114152177664], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 37879/849346560], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 943/849346560], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 99413/31708938240], [[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 103/7927234560], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 41/141557760], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 4427/7340032000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 26497/4227858432], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 828811/33973862400], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 2375/2038431744], [[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 181/7431782400], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 8993/9289728000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 539/141557760], [[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 677/2378170368000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 231241/267544166400], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 26087/3805072588800], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 50249/891813888000], [[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 31/305764761600], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 3005671/17122826649600], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 10279/5350883328000], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 241807/8561413324800], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 70549/191102976000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 296741/25684239974400], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 79249/2378170368000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 147475/456608710656], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 280261/101921587200], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 337/10192158720], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 311/33443020800], [[[1, 3], [3, 1], [4, 2], [8, 2], [12, 2]], 1/27648], [[[1, 3], [3, 1], [4, 2], [8, 2], [20, 1]], 1/7680], [[[1, 3], [3, 1], [4, 4], [5, 1], [8, 2]], 1/491520], [[[1, 3], [3, 1], [4, 4], [8, 2], [12, 1]], 7/442368], [[[1, 3], [3, 2], [4, 1], [8, 2], [16, 1]], 1/36864], [[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/82944], [[[1, 3], [3, 2], [4, 3], [8, 1], [20, 1]], 1/23040], [[[1, 3], [3, 2], [4, 5], [8, 1], [12, 1]], 7/1327104], [[[1, 3], [4, 1], [5, 1], [8, 2], [16, 1]], 1/10240], [[[1, 3], [4, 1], [8, 2], [12, 1], [16, 1]], 1/12288], [[[1, 3], [4, 3], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 3], [4, 3], [5, 1], [8, 1], [20, 1]], 1/6400], [[[1, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/7680], [[[1, 3], [4, 5], [5, 1], [8, 1], [12, 1]], 7/368640], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 4]], 5/196608], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 209/2359296], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 1/41472], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 59/6291456], [[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 1/110592], [[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 1/92160], [[[1, 4], [2, 1], [3, 1], [4, 7], [5, 1]], 31/353894400], [[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 653/1698693120], [[[1, 4], [2, 1], [3, 1], [4, 7], [10, 1]], 1/44236800], [[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 43/35389440], [[[1, 4], [2, 1], [3, 1], [4, 8], [6, 1]], 47/1132462080], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 35/1179648], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 799/28311552], [[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 4], [20, 1]], 1/30720], [[[1, 4], [2, 1], [3, 2], [4, 6], [5, 1]], 1/35389440], [[[1, 4], [2, 1], [3, 2], [4, 6], [8, 1]], 491/283115520], [[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 11/3538944], [[[1, 4], [2, 1], [3, 2], [4, 7], [6, 1]], 31/1274019840], [[[1, 4], [2, 1], [3, 2], [8, 2], [16, 1]], 1/12288], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 3]], 1/442368], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 7/1769472], [[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 1/124416], [[[1, 4], [2, 1], [3, 3], [4, 3], [20, 1]], 1/34560], [[[1, 4], [2, 1], [3, 3], [4, 5], [8, 1]], 7/21233664], [[[1, 4], [2, 1], [3, 3], [4, 5], [12, 1]], 7/1990656], [[[1, 4], [2, 1], [3, 3], [4, 6], [6, 1]], 1/21233664], [[[1, 4], [2, 1], [3, 4], [4, 2], [8, 2]], 1/5308416], [[[1, 4], [2, 1], [3, 4], [4, 4], [12, 1]], 1/1990656], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 17/327680], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 1/409600], [[[1, 4], [2, 1], [4, 2], [8, 2], [12, 2]], 61/884736], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 23/196608], [[[1, 4], [2, 1], [4, 2], [8, 2], [20, 1]], 13/245760], [[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 1/491520], [[[1, 4], [2, 1], [4, 2], [8, 3], [12, 1]], 1/49152], [[[1, 4], [2, 1], [4, 2], [12, 2], [16, 1]], 1/55296], [[[1, 4], [2, 1], [4, 2], [16, 1], [20, 1]], 1/15360], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 3]], 1/41472], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 5/114688], [[[1, 4], [2, 1], [4, 3], [7, 1], [12, 2]], 1/32256], [[[1, 4], [2, 1], [4, 3], [7, 1], [20, 1]], 1/8960], [[[1, 4], [2, 1], [4, 3], [8, 2], [14, 1]], 1/114688], [[[1, 4], [2, 1], [4, 3], [12, 2], [14, 1]], 1/32256], [[[1, 4], [2, 1], [4, 3], [14, 1], [20, 1]], 1/8960], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 257/2621440], [[[1, 4], [2, 1], [4, 4], [5, 1], [12, 2]], 1/30720], [[[1, 4], [2, 1], [4, 4], [5, 1], [20, 1]], 3/25600], [[[1, 4], [2, 1], [4, 4], [5, 2], [8, 1]], 1/204800], [[[1, 4], [2, 1], [4, 4], [5, 2], [12, 1]], 1/153600], [[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 5/55296], [[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 133/1572864], [[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 1/7680], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 1039/14155776], [[[1, 4], [2, 1], [4, 4], [12, 1], [16, 1]], 19/221184], [[[1, 4], [2, 1], [4, 4], [12, 1], [20, 1]], 1/6144], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 13/6291456], [[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/110592], [[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 1/92160], [[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 3/917504], [[[1, 4], [2, 1], [4, 5], [7, 1], [12, 1]], 1/129024], [[[1, 4], [2, 1], [4, 5], [12, 1], [14, 1]], 1/129024], [[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 1103/235929600], [[[1, 4], [2, 1], [4, 6], [5, 1], [12, 1]], 11/983040], [[[1, 4], [2, 1], [4, 6], [8, 1], [10, 1]], 139/353894400], [[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 181/7077888], [[[1, 4], [2, 1], [4, 7], [5, 1], [6, 1]], 13/117964800], [[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 43/35389440], [[[1, 4], [2, 1], [5, 1], [8, 2], [16, 1]], 1/20480], [[[1, 4], [2, 1], [8, 2], [10, 1], [16, 1]], 1/61440], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 197/589824], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/245760], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 5849/12582912], [[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 43/221184], [[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 19/294912], [[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 19/61440], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 3]], 11/15925248], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 25/4128768], [[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 19/4128768], [[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 971/235929600], [[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 7369/1274019840], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 25411/566231040], [[[1, 4], [2, 3], [3, 1], [4, 6], [10, 1]], 3607/1061683200], [[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 271/4718592], [[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 3401/566231040], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 3]], 1/442368], [[[1, 4], [2, 3], [3, 1], [8, 2], [16, 1]], 3/16384], [[[1, 4], [2, 3], [3, 1], [8, 3], [10, 1]], 1/40960], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 101/2359296], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 833/3538944], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 2]], 1/460800], [[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 29/497664], [[[1, 4], [2, 3], [3, 2], [4, 3], [16, 1]], 5/147456], [[[1, 4], [2, 3], [3, 2], [4, 3], [20, 1]], 29/138240], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 3]], 31/7962624], [[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 5/2064384], [[[1, 4], [2, 3], [3, 2], [4, 4], [14, 1]], 1/688128], [[[1, 4], [2, 3], [3, 2], [4, 5], [5, 1]], 13/5898240], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 197/21233664], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 5371/113246208], [[[1, 4], [2, 3], [3, 2], [4, 5], [10, 1]], 7/1474560], [[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 1991/31850496], [[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 931/127401984], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 3]], 7/442368], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 2]], 1/165888], [[[1, 4], [2, 3], [3, 2], [6, 3], [16, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 23/884736], [[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 1/124416], [[[1, 4], [2, 3], [3, 3], [4, 2], [16, 1]], 1/55296], [[[1, 4], [2, 3], [3, 3], [4, 2], [20, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 19/2985984], [[[1, 4], [2, 3], [3, 3], [4, 3], [14, 1]], 1/387072], [[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 1/491520], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 343/47775744], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 391/21233664], [[[1, 4], [2, 3], [3, 3], [4, 4], [10, 1]], 19/13271040], [[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 29/995328], [[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 121/31850496], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 61/995328], [[[1, 4], [2, 3], [3, 3], [6, 2], [16, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [8, 1], [16, 1]], 1/55296], [[[1, 4], [2, 3], [3, 3], [8, 2], [10, 1]], 1/276480], [[[1, 4], [2, 3], [3, 4], [4, 2], [14, 1]], 1/1161216], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 1/497664], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 11/10616832], [[[1, 4], [2, 3], [3, 4], [4, 4], [6, 1]], 55/95551488], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 2]], 1/1990656], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 49/655360], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 3]], 13/14155776], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 73/98304], [[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 25/786432], [[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 1/12288], [[[1, 4], [2, 3], [4, 2], [5, 2], [14, 1]], 1/89600], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 35/294912], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 769/1376256], [[[1, 4], [2, 3], [4, 2], [7, 1], [12, 2]], 1/13824], [[[1, 4], [2, 3], [4, 2], [7, 1], [16, 1]], 3/14336], [[[1, 4], [2, 3], [4, 2], [7, 1], [20, 1]], 1/3840], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 65/131072], [[[1, 4], [2, 3], [4, 2], [12, 2], [14, 1]], 1/13824], [[[1, 4], [2, 3], [4, 2], [14, 1], [16, 1]], 3/14336], [[[1, 4], [2, 3], [4, 2], [14, 1], [20, 1]], 1/3840], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 699/1310720], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/128000], [[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 7/92160], [[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 3/40960], [[[1, 4], [2, 3], [4, 3], [5, 1], [20, 1]], 7/25600], [[[1, 4], [2, 3], [4, 3], [5, 2], [6, 2]], 1/460800], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 31/819200], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/128000], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 35/884736], [[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 17/497664], [[[1, 4], [2, 3], [4, 3], [6, 2], [16, 1]], 1/49152], [[[1, 4], [2, 3], [4, 3], [6, 2], [20, 1]], 17/138240], [[[1, 4], [2, 3], [4, 3], [6, 3], [7, 1]], 1/387072], [[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 37/110592], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 347/294912], [[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 13/30720], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1543/11796480], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1867/2359296], [[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 13/276480], [[[1, 4], [2, 3], [4, 3], [10, 1], [16, 1]], 1/40960], [[[1, 4], [2, 3], [4, 3], [10, 1], [20, 1]], 13/76800], [[[1, 4], [2, 3], [4, 3], [12, 1], [16, 1]], 19/36864], [[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 11/46080], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 1/573440], [[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 3/573440], [[[1, 4], [2, 3], [4, 4], [5, 2], [6, 1]], 31/7372800], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 26755/75497472], [[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 245/1327104], [[[1, 4], [2, 3], [4, 4], [6, 1], [16, 1]], 19/294912], [[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 101/368640], [[[1, 4], [2, 3], [4, 4], [6, 2], [7, 1]], 1/294912], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 29/21233664], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 79/393216], [[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 3/573440], [[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 61/387072], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 475/2752512], [[[1, 4], [2, 3], [4, 4], [12, 1], [14, 1]], 61/387072], [[[1, 4], [2, 3], [4, 5], [5, 1], [6, 2]], 13/2949120], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 3343/31457280], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 29/4915200], [[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 313/2949120], [[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 25/4128768], [[[1, 4], [2, 3], [4, 5], [6, 1], [14, 1]], 19/4128768], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 12931/679477248], [[[1, 4], [2, 3], [4, 5], [6, 2], [10, 1]], 7/5898240], [[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 1133/31850496], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1375/37748736], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 6917/14155776], [[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 353/8847360], [[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 413/66355200], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 65369/1698693120], [[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 4139/4246732800], [[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 4547/84934656], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 3]], 1/40960], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 2]], 1/153600], [[[1, 4], [2, 3], [6, 1], [8, 2], [16, 1]], 19/147456], [[[1, 4], [2, 3], [7, 1], [8, 1], [16, 1]], 1/6144], [[[1, 4], [2, 3], [8, 1], [14, 1], [16, 1]], 1/6144], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 2333/28311552], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/96000], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/1327104], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 929/47775744], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 450947/566231040], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 161/3686400], [[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 809/6635520], [[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 47/196608], [[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 449/1843200], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 24827/382205952], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 79/2359296], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 51/917504], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 4331/283115520], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 15161/169869312], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 393599/1358954496], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 1061/17694720], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 102239/424673280], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 168259/2548039680], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/129600], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 221/3538944], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 281/7962624], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 13/435456], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 1/1492992], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 2]], 1/43008], [[[1, 4], [2, 5], [3, 1], [7, 1], [10, 2]], 1/33600], [[[1, 4], [2, 5], [3, 1], [8, 2], [14, 1]], 1/28672], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 19/2239488], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 451/7962624], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 167/2097152], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 53/1843200], [[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 5/497664], [[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 17/221184], [[[1, 4], [2, 5], [3, 2], [4, 2], [20, 1]], 1/27648], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 4067/23887872], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 31/774144], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1007/84934656], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1651/9437184], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 488927/3397386240], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 2987/70778880], [[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 3119/31850496], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 7691/113246208], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 49/933120], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 1/8847360], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 11/72000], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 547/5308416], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 1/21600], [[[1, 4], [2, 5], [3, 2], [6, 2], [16, 1]], 7/55296], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 37/217728], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/9072], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 35/497664], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/77760], [[[1, 4], [2, 5], [3, 2], [8, 1], [10, 2]], 1/115200], [[[1, 4], [2, 5], [3, 2], [8, 1], [16, 1]], 5/221184], [[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 41/1474560], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 11/139968], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 13/7077888], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1003/5971968], [[[1, 4], [2, 5], [3, 3], [4, 2], [14, 1]], 1/43008], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 887/7962624], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 511/42467328], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 23/6635520], [[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 13/7962624], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 16561/764411904], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 37/466560], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 103/15925248], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 1/129600], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1/12096], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 43/217728], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 65/373248], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 43/466560], [[[1, 4], [2, 5], [3, 3], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 5/93312], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 121/7962624], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 7/19906560], [[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 1/23887872], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 7/3981312], [[[1, 4], [2, 5], [3, 4], [6, 1], [14, 1]], 1/435456], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 1/124416], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 37/933120], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 5657/28311552], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 37/1179648], [[[1, 4], [2, 5], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 1/82944], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 47/196608], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 3/44800], [[[1, 4], [2, 5], [4, 1], [7, 1], [16, 1]], 1/6144], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 191/688128], [[[1, 4], [2, 5], [4, 1], [14, 1], [16, 1]], 1/6144], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 5/3981312], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1567/5242880], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 277/1536000], [[[1, 4], [2, 5], [4, 2], [5, 1], [12, 2]], 13/414720], [[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 13/122880], [[[1, 4], [2, 5], [4, 2], [5, 1], [20, 1]], 13/115200], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 47/1843200], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 13/2457600], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 139/1536000], [[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 1/1843200], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 7613/18874368], [[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 5/248832], [[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 29/221184], [[[1, 4], [2, 5], [4, 2], [6, 2], [20, 1]], 1/13824], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 11/387072], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 37/3538944], [[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 13/23887872], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 163/2457600], [[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 1649/13271040], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 10495/9437184], [[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 329/3686400], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 3709/5242880], [[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 347/786432], [[[1, 4], [2, 5], [4, 2], [10, 1], [12, 2]], 1/25920], [[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 7/40960], [[[1, 4], [2, 5], [4, 2], [10, 1], [20, 1]], 1/7200], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 13/1843200], [[[1, 4], [2, 5], [4, 2], [12, 1], [16, 1]], 1/4096], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 137/6635520], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 13/215040], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/115200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 134749/113246208], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 41/1228800], [[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 535/3981312], [[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 77/294912], [[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 319/1105920], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 1/36864], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/48384], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 4859/42467328], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 25/1327104], [[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 185/3981312], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 2129/4128768], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 13/215040], [[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 23/129024], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 2585/4128768], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 23/129024], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 229/4718592], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 72889/314572800], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1411/19660800], [[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1751/13271040], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 311/8257536], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 877/16515072], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 104509/339738624], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 13039/424673280], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 6523/31850496], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 49673/94371840], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 208271/212336640], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 787/2654208], [[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1207/31457280], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 481091/1358954496], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 6269/141557760], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 35291/127401984], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 49/1474560], [[[1, 4], [2, 5], [5, 1], [6, 3], [7, 1]], 1/60480], [[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 1/207360], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 3/12800], [[[1, 4], [2, 5], [5, 1], [8, 1], [16, 1]], 13/184320], [[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 11/81920], [[[1, 4], [2, 5], [5, 1], [10, 1], [16, 1]], 7/15360], [[[1, 4], [2, 5], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 11/72000], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 7/38400], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 2]], 1/28672], [[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 4], [2, 5], [6, 2], [8, 1], [16, 1]], 5/110592], [[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 13/8847360], [[[1, 4], [2, 5], [6, 3], [7, 1], [8, 1]], 1/96768], [[[1, 4], [2, 5], [8, 1], [10, 1], [16, 1]], 1/11520], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 443/11943936], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 19/55296000], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 16543/95551488], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 85141/679477248], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 2669/22118400], [[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 71/19906560], [[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 97/2949120], [[[1, 4], [2, 7], [3, 1], [4, 2], [20, 1]], 71/5529600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 58723/191102976], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/967680], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 457/4128768], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 36397/2123366400], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 29707/113246208], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 1440853/6794772480], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 100169/849346560], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 23/248832], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 148901/1132462080], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 89/1658880], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 173/88473600], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 7/76800], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 1/460800], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 7/384000], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 205/2359296], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 47/414720], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 223/3483648], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 113/1741824], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1477/23887872], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 361/7464960], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 19/614400], [[[1, 4], [2, 7], [3, 1], [8, 1], [16, 1]], 71/8847360], [[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 419/17694720], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 10039/35831808], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 263/35389440], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 47/1105920], [[[1, 4], [2, 7], [3, 2], [4, 1], [16, 1]], 7/1474560], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 3487/7962624], [[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 19/92897280], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 269/6193152], [[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 43/29491200], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 69127/212336640], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 1239/41943040], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 16901/530841600], [[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 223/26542080], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 85/1048576], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 637/7464960], [[[1, 4], [2, 7], [3, 2], [5, 1], [14, 1]], 1/1935360], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 943/53084160], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 17/172800], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 11/774144], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 251/1161216], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 169/884736], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 773/2488320], [[[1, 4], [2, 7], [3, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 4], [2, 7], [3, 2], [8, 1], [14, 1]], 13/3096576], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 1/35840], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 7531/35831808], [[[1, 4], [2, 7], [3, 3], [4, 1], [14, 1]], 13/4644864], [[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 17/99532800], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 15577/159252480], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 1303/637009920], [[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 11/1769472], [[[1, 4], [2, 7], [3, 3], [4, 2], [12, 1]], 23/119439360], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 221/15925248], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 11/1658880], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 1/4147200], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 55/3483648], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 1631/39813120], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 263/2488320], [[[1, 4], [2, 7], [3, 3], [8, 1], [10, 1]], 13/6635520], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 29/5971968], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 11/127401984], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 59/106168320], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/3981312], [[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 29/29859840], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 19/737280], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 3479/117964800], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 19/64000], [[[1, 4], [2, 7], [4, 1], [5, 1], [16, 1]], 13/737280], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 23/1843200], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 7/9830400], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 103/1536000], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1093/4718592], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 3/51200], [[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 1/32768], [[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 253/4644864], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 59/2322432], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 5957/127401984], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 77/3981312], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 13/3981312], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 179/1179648], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 17573/247726080], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 1607/7864320], [[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 653/23592960], [[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 3/81920], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 1/61440], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 2911/39813120], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 1/6451200], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 17/286720], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 911/73728000], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 483443/754974720], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 3047/14745600], [[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 37/4976640], [[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 127/1769472], [[[1, 4], [2, 7], [4, 2], [6, 1], [20, 1]], 37/1382400], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 83/2064384], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 275/2064384], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 12607/42467328], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 119/983040], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 1355/23887872], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 3503/41287680], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 17/286720], [[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 1/129024], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 2195/8257536], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 167/860160], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 1/129024], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1687/19660800], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 22183/188743680], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 26441/147456000], [[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 481/14745600], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 463/20643840], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 433/3096576], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 95387/150994944], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 65/294912], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 253/1327104], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 335531/377487360], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 523877/1698693120], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 427/1769472], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 3499/58982400], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 3825959/6794772480], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 352471/1698693120], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 311473/1274019840], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 7/57600], [[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 1/215040], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 17/322560], [[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 169/6635520], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 161/2073600], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/25600], [[[1, 4], [2, 7], [5, 1], [8, 1], [14, 1]], 13/860160], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/10752], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 109/2304000], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 59/1843200], [[[1, 4], [2, 7], [6, 1], [8, 1], [16, 1]], 37/2211840], [[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 809/17694720], [[[1, 4], [2, 7], [6, 2], [7, 1], [8, 1]], 23/1032192], [[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 17/322560], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 1/57344], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 13/1935360], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 17/829440], [[[1, 4], [2, 7], [7, 1], [8, 1], [10, 1]], 13/860160], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/28672], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 1399/7077888], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 232861/31708938240], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 1447/24576000], [[[1, 4], [2, 9], [3, 1], [4, 1], [16, 1]], 29/30965760], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 1299413/3822059520], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 169/495452160], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 7727/185794560], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 347357/118908518400], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 1208357/5096079360], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 2145491/63417876480], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 28417/530841600], [[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 269449/35672555520], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 44833867/570760888320], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 49/1228800], [[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 1/2419200], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 1/13824000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 35453/3397386240], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 857/6635520], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 19/2903040], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 19/172032], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 39287/477757440], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 12499/59719680], [[[1, 4], [2, 9], [3, 1], [7, 1], [10, 1]], 1/2419200], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 1/241920], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 107/3870720], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 338263/1433272320], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 115/18579456], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 21071/59454259200], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 39223/283115520], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1325399/285380444160], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 25243/2123366400], [[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 205/509607936], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 3871183/142690222080], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 1097/199065600], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 127/165888000], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 1/23224320], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 109/5806080], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 8207/247726080], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 10631/66355200], [[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 103/29491200], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 9139/477757440], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 6287/35672555520], [[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 83/79626240], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 119071/35672555520], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/49766400], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 109/159252480], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 679/99532800], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 7/47775744], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 6577/132710400], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 319/25804800], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 7/6144000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 235307/3523215360], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 2923/14745600], [[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 59/20643840], [[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 145/6193152], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 257/2064384], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 352943/2548039680], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 2611/15925248], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 55/3981312], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 509/660602880], [[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 319/25804800], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 40589/990904320], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 569/5160960], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 125851/2123366400], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 146119/11324620800], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 92317/1769472000], [[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 829/707788800], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 23/2293760], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 3109/16515072], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 384487/1132462080], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 6823/18874368], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 78083/1274019840], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 442097/1887436800], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 168907/11890851840], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 42029/1061683200], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1369999/39636172800], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 264661/905969664], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 140597/471859200], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 176573/2378170368], [[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 1/6451200], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 13/645120], [[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 883/88473600], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 239/3686400], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 1289/103219200], [[[1, 4], [2, 9], [6, 1], [7, 1], [8, 1]], 1/491520], [[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 13/645120], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 29/1032192], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 191/3870720], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 1207/17694720], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 695843/6688604160], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 43/2972712960], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 13273/2972712960], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 10411/33973862400], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 11319269/142690222080], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1041143/317089382400], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 4095941/356725555200], [[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 12827/42807066624], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 7224277/342456532992], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 301/88473600], [[[1, 4], [2, 11], [3, 1], [5, 1], [8, 1]], 43/2123366400], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 727/1857945600], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 41/445906944], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 8453/743178240], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 141863/10701766656], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 23647/318504960], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 1609/928972800], [[[1, 4], [2, 11], [3, 2], [4, 1], [5, 1]], 43/4246732800], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 6647689/321052999680], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 41063/190253629440], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 14719/8918138880], [[[1, 4], [2, 11], [3, 2], [4, 1], [12, 1]], 43/7644119040], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 10187/2038431744], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 3923/66886041600], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 1931/2548039680], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 137549/22295347200], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 50581/160526499840], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 9637/825753600], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 198659/475634073600], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 18737/3538944000], [[[1, 4], [2, 11], [4, 1], [5, 1], [12, 1]], 43/2123366400], [[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 4447/2972712960], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 6449/141557760], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 18839417/380507258880], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 561041/4246732800], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 4301/849346560], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 3962453/190253629440], [[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 671/3397386240], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 251/141557760], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 639857/89181388800], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 212801/4227858432], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 313889/2516582400], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 3690731/428070666240], [[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 8993/14863564800], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 10459/1238630400], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 12113/707788800], [[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 3473/264241152000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 40674419/4280706662400], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 1559473/11415217766400], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 6737/7962624000], [[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 1411/305764761600], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 3278603/1070176665600], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 33197/594542592000], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 57617/152882380800], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 51829/15288238080], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 1187477/3669177139200], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 445463/792723456000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 35312231/11415217766400], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 11804731/713451110400], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 2981/10192158720], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 71171/407686348800], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1121/4718592], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 7/1228800], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 17845/113246208], [[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 49/663552], [[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 1/147456], [[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 5/36864], [[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 1/458752], [[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 2761/707788800], [[[1, 5], [2, 2], [3, 1], [4, 6], [6, 2]], 461/1274019840], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 8521/566231040], [[[1, 5], [2, 2], [3, 1], [4, 6], [10, 1]], 1171/1061683200], [[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 967/42467328], [[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 17483/10192158720], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 3]], 1/122880], [[[1, 5], [2, 2], [3, 1], [8, 2], [16, 1]], 3/32768], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 109/2359296], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 1/153600], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 253/1179648], [[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 5/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 1/49152], [[[1, 5], [2, 2], [3, 2], [4, 3], [20, 1]], 1/9216], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/294912], [[[1, 5], [2, 2], [3, 2], [4, 4], [14, 1]], 1/2064384], [[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 29/8847360], [[[1, 5], [2, 2], [3, 2], [4, 5], [6, 2]], 5/2654208], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 4003/113246208], [[[1, 5], [2, 2], [3, 2], [4, 5], [10, 1]], 1/1966080], [[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 401/10616832], [[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 683/318504960], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 3]], 1/73728], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 43/884736], [[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 1/124416], [[[1, 5], [2, 2], [3, 3], [4, 2], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 3], [4, 2], [20, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 1/387072], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 11/4423680], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 157/47775744], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 251/10616832], [[[1, 5], [2, 2], [3, 3], [4, 4], [10, 1]], 19/13271040], [[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 109/31850496], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 55/995328], [[[1, 5], [2, 2], [3, 3], [8, 1], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 3], [8, 2], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 5/884736], [[[1, 5], [2, 2], [3, 4], [4, 2], [14, 1]], 1/1161216], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 1/663552], [[[1, 5], [2, 2], [3, 4], [4, 3], [6, 2]], 1/497664], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 11/3538944], [[[1, 5], [2, 2], [3, 4], [4, 3], [10, 1]], 1/3317760], [[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 5/663552], [[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 139/95551488], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 13/1990656], [[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 1/3981312], [[[1, 5], [2, 2], [3, 5], [4, 3], [6, 1]], 1/5971968], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 33/655360], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 3/204800], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 3]], 1/14155776], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 17/131072], [[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 17/3932160], [[[1, 5], [2, 2], [4, 1], [8, 3], [12, 1]], 19/589824], [[[1, 5], [2, 2], [4, 2], [5, 2], [14, 1]], 1/89600], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 151/23592960], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 121/1376256], [[[1, 5], [2, 2], [4, 2], [7, 1], [12, 2]], 1/96768], [[[1, 5], [2, 2], [4, 2], [7, 1], [16, 1]], 1/14336], [[[1, 5], [2, 2], [4, 2], [7, 1], [20, 1]], 1/26880], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 19/917504], [[[1, 5], [2, 2], [4, 2], [12, 2], [14, 1]], 1/96768], [[[1, 5], [2, 2], [4, 2], [14, 1], [16, 1]], 1/14336], [[[1, 5], [2, 2], [4, 2], [14, 1], [20, 1]], 1/26880], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1163/2621440], [[[1, 5], [2, 2], [4, 3], [5, 1], [12, 2]], 29/552960], [[[1, 5], [2, 2], [4, 3], [5, 1], [16, 1]], 3/40960], [[[1, 5], [2, 2], [4, 3], [5, 1], [20, 1]], 29/153600], [[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 53/819200], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 1/256000], [[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 7/153600], [[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 7/55296], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 197/589824], [[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 7/61440], [[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 371/23592960], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 377/1572864], [[[1, 5], [2, 2], [4, 3], [10, 1], [12, 2]], 1/61440], [[[1, 5], [2, 2], [4, 3], [10, 1], [20, 1]], 3/51200], [[[1, 5], [2, 2], [4, 3], [12, 1], [16, 1]], 25/147456], [[[1, 5], [2, 2], [4, 3], [12, 1], [20, 1]], 1/10240], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 3/573440], [[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 1/573440], [[[1, 5], [2, 2], [4, 4], [5, 2], [6, 1]], 31/7372800], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 493/25165824], [[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 77/1327104], [[[1, 5], [2, 2], [4, 4], [6, 1], [16, 1]], 1/147456], [[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 29/368640], [[[1, 5], [2, 2], [4, 4], [6, 2], [7, 1]], 5/2064384], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 75/917504], [[[1, 5], [2, 2], [4, 4], [7, 1], [10, 1]], 1/573440], [[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 19/387072], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 1/24576], [[[1, 5], [2, 2], [4, 4], [12, 1], [14, 1]], 19/387072], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 2959/31457280], [[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 3/1638400], [[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 887/8847360], [[[1, 5], [2, 2], [4, 5], [6, 1], [7, 1]], 1/458752], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 463/679477248], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 983/188743680], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 2461/14155776], [[[1, 5], [2, 2], [4, 5], [10, 1], [12, 1]], 1/245760], [[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 1043/265420800], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 26261/4246732800], [[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 1247/4246732800], [[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 1391/84934656], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 2]], 1/153600], [[[1, 5], [2, 2], [6, 1], [8, 2], [16, 1]], 43/1474560], [[[1, 5], [2, 2], [7, 1], [8, 1], [16, 1]], 1/43008], [[[1, 5], [2, 2], [8, 1], [14, 1], [16, 1]], 1/43008], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 5657/28311552], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 41/1228800], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 7/3981312], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 134749/113246208], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/115200], [[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 535/3981312], [[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 77/294912], [[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 319/1105920], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 16561/764411904], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 877/16515072], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 311/8257536], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 6269/141557760], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 7691/113246208], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 481091/1358954496], [[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1207/31457280], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 35291/127401984], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 168259/2548039680], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 1/129600], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 221/3538944], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 103/15925248], [[[1, 5], [2, 4], [3, 1], [6, 4], [7, 1]], 1/435456], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 1/43008], [[[1, 5], [2, 4], [3, 1], [7, 1], [10, 2]], 1/33600], [[[1, 5], [2, 4], [3, 1], [8, 2], [14, 1]], 1/28672], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 121/7962624], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 7613/18874368], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 47/1843200], [[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 5/248832], [[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 29/221184], [[[1, 5], [2, 4], [3, 2], [4, 2], [20, 1]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 887/7962624], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/48384], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 1/36864], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 13039/424673280], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1651/9437184], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 104509/339738624], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 229/4718592], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 6523/31850496], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 15161/169869312], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 37/933120], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 13/8847360], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 11/72000], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 1/21600], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 547/5308416], [[[1, 5], [2, 4], [3, 2], [6, 2], [16, 1]], 7/55296], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 43/217728], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1/12096], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 1/124416], [[[1, 5], [2, 4], [3, 2], [8, 1], [16, 1]], 5/110592], [[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 49/1474560], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 5/93312], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 37/1179648], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 2]], 1/172800], [[[1, 5], [2, 4], [3, 3], [4, 1], [16, 1]], 1/55296], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1003/5971968], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 11/387072], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 25/1327104], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 4067/23887872], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 4859/42467328], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 137/6635520], [[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 185/3981312], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 24827/382205952], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 43/466560], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 281/7962624], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/129600], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/9072], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 37/217728], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 65/373248], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 37/466560], [[[1, 5], [2, 4], [3, 3], [8, 1], [14, 1]], 1/96768], [[[1, 5], [2, 4], [3, 3], [10, 1], [14, 1]], 1/60480], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 11/139968], [[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 1/82944], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 451/7962624], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 37/3538944], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 5/3981312], [[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 13/23887872], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 929/47775744], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/77760], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 13/435456], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 35/497664], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 49/933120], [[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 1/207360], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 19/2239488], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/1327104], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 1/1492992], [[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 3/44800], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/96000], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 2333/28311552], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 13/7077888], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 191/688128], [[[1, 5], [2, 4], [4, 1], [7, 1], [16, 1]], 1/6144], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 47/196608], [[[1, 5], [2, 4], [4, 1], [14, 1], [16, 1]], 1/6144], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 7/19906560], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 3709/5242880], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 139/1536000], [[[1, 5], [2, 4], [4, 2], [5, 1], [12, 2]], 1/25920], [[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 7/40960], [[[1, 5], [2, 4], [4, 2], [5, 1], [20, 1]], 1/7200], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 53/1843200], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 163/2457600], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 277/1536000], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 13/1843200], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 167/2097152], [[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 5/497664], [[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 17/221184], [[[1, 5], [2, 4], [4, 2], [6, 2], [20, 1]], 1/27648], [[[1, 5], [2, 4], [4, 2], [6, 3], [7, 1]], 1/43008], [[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 1/23887872], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 13/2457600], [[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 1649/13271040], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 10495/9437184], [[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 329/3686400], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1567/5242880], [[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 347/786432], [[[1, 5], [2, 4], [4, 2], [10, 1], [12, 2]], 13/414720], [[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 13/122880], [[[1, 5], [2, 4], [4, 2], [10, 1], [20, 1]], 13/115200], [[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 1/1843200], [[[1, 5], [2, 4], [4, 2], [12, 1], [16, 1]], 1/4096], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 23/6635520], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 13/215040], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 161/3686400], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 450947/566231040], [[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 809/6635520], [[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 47/196608], [[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 449/1843200], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 31/774144], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 511/42467328], [[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 13/7962624], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 2585/4128768], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 13/215040], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 23/129024], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 2129/4128768], [[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 23/129024], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 2987/70778880], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 49673/94371840], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1411/19660800], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 787/2654208], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 51/917504], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 79/2359296], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 488927/3397386240], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1007/84934656], [[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 3119/31850496], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 72889/314572800], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 208271/212336640], [[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1751/13271040], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 1061/17694720], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 393599/1358954496], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 4331/283115520], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 102239/424673280], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 41/1474560], [[[1, 5], [2, 4], [5, 1], [6, 3], [7, 1]], 1/60480], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 7/38400], [[[1, 5], [2, 4], [5, 1], [8, 1], [16, 1]], 1/11520], [[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 11/81920], [[[1, 5], [2, 4], [5, 1], [10, 1], [16, 1]], 7/15360], [[[1, 5], [2, 4], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 5], [2, 4], [5, 2], [6, 2], [8, 1]], 1/115200], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 11/72000], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 3/12800], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 2]], 1/28672], [[[1, 5], [2, 4], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 5], [2, 4], [6, 2], [8, 1], [16, 1]], 5/221184], [[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 1/8847360], [[[1, 5], [2, 4], [8, 1], [10, 1], [16, 1]], 13/184320], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 773/71663616], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 259/55296000], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 9553/95551488], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 2073209/3397386240], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 2897/22118400], [[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 223/19906560], [[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 193/983040], [[[1, 5], [2, 6], [3, 1], [4, 2], [20, 1]], 223/5529600], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 63835/191102976], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 95/1376256], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 79/442368], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 172063/2123366400], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 161063/339738624], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1387343/1698693120], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 193901/849346560], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 18053/53084160], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 2279273/6794772480], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 247/4976640], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 1553/88473600], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 127/384000], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 59/1382400], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 1/1228800], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 17/128000], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 893/7077888], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/32400], [[[1, 5], [2, 6], [3, 1], [6, 2], [16, 1]], 1/27648], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 185/1741824], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 55/3483648], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 451/15925248], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/116640], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 113/3686400], [[[1, 5], [2, 6], [3, 1], [8, 1], [16, 1]], 223/8847360], [[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 1007/17694720], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 1/1843200], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 3241/11943936], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 137/2359296], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 31/460800], [[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 5/221184], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 12749/15925248], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 37/13271040], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 275/2064384], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 19013/530841600], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 57653/63700992], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 368233/1132462080], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 631/4423680], [[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 229/2654208], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 58841/169869312], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 269/933120], [[[1, 5], [2, 6], [3, 2], [5, 1], [14, 1]], 13/1935360], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1/691200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 203/2654208], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 13/115200], [[[1, 5], [2, 6], [3, 2], [6, 1], [16, 1]], 1/27648], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 37/258048], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 323/1161216], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1039/3981312], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 577/2488320], [[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 1/3096576], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 13/1935360], [[[1, 5], [2, 6], [3, 2], [8, 1], [14, 1]], 1/57344], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 17/322560], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 3869/5971968], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/4644864], [[[1, 5], [2, 6], [3, 3], [4, 1], [14, 1]], 59/2322432], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 227/99532800], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 5677/10616832], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 43/1474560], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 881/26542080], [[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 323/119439360], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 64417/477757440], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/12288], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 1/3317760], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 13/4147200], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 1/1161216], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 113/1741824], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 305/1990656], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 187/622080], [[[1, 5], [2, 6], [3, 3], [8, 1], [10, 1]], 37/3317760], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 1/7962624], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 395/3981312], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 55/42467328], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 11/2654208], [[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 1/23887872], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 211/11796480], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 1/2488320], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 83/15925248], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 449/29859840], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 29/71663616], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 227/13271040], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 983/5898240], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1213/3072000], [[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 13/184320], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/23040], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 113/9830400], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 133/614400], [[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 1/1843200], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 955/4718592], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 13/1843200], [[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 5/110592], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 155/2322432], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 13/4644864], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 65/4718592], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 13/7962624], [[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 13/23887872], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 1997/29491200], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 2317/7864320], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1129/3932160], [[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 2201/35389440], [[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 1/11520], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 13/1843200], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 3139/39813120], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 1/403200], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 167/860160], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 4571/73728000], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 751963/754974720], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 979/14745600], [[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 71/4976640], [[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 397/1769472], [[[1, 5], [2, 6], [4, 2], [6, 1], [20, 1]], 71/1382400], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 797/6193152], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 269/6193152], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 6157/35389440], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1009/26542080], [[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 623/23887872], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 3935/8257536], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 167/860160], [[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 1/18432], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 701/1179648], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 17/286720], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 1/18432], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 133/737280], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 490943/943718400], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 5663/14745600], [[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 1327/8847360], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 361/3096576], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 617/4128768], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1004387/1358954496], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 71033/530841600], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 181/884736], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 1213889/1132462080], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 1275791/1698693120], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 2587/8847360], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 229/1310720], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 893663/849346560], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 325087/1698693120], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 557249/1274019840], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 1/20480], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 7/36000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 23/645120], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/35840], [[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 97/3317760], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 101/2073600], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 1/860160], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 51/179200], [[[1, 5], [2, 6], [5, 1], [8, 1], [14, 1]], 1/28672], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 17/53760], [[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 29/3686400], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 673/2304000], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 13/1228800], [[[1, 5], [2, 6], [6, 1], [8, 1], [16, 1]], 71/2211840], [[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 653/17694720], [[[1, 5], [2, 6], [6, 2], [7, 1], [8, 1]], 17/516096], [[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 1/35840], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 13/3096576], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 13/3317760], [[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 1/28672], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 13/860160], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 143/221184000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 132457/573308928], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 8635/150994944], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 5813/44236800], [[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 71/8847360], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 5003917/7644119040], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 2873/495452160], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 25553/185794560], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 143129/4246732800], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 504277/679477248], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 3371671/12683575296], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 1901429/8493465600], [[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 10475/169869312], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 3144925/8153726976], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 4079/33177600], [[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 1/151200], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 43/18432000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 16061/339738624], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 5017/33177600], [[[1, 5], [2, 8], [3, 1], [6, 1], [16, 1]], 1/221184], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 523/11612160], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 197/1548288], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 4493/31850496], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 10681/59719680], [[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 1/3870720], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/151200], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 107/6193152], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 191/3870720], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 331001/477757440], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 1/2654208], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 215/6193152], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 354103/59454259200], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 203987/283115520], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 32533/679477248], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 55349/707788800], [[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 5257/849346560], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1186873/5096079360], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 13007/199065600], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 11/29491200], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 2317/165888000], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 37/23224320], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 169/2322432], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 3217/21233664], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 557/1474560], [[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 293/17694720], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 121/398131200], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 27029/159252480], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 12527/3963617280], [[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 1259/132710400], [[[1, 5], [2, 8], [3, 3], [4, 1], [12, 1]], 1/14929920], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 56003/1274019840], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 119/99532800], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 517/53084160], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1313/33177600], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 3179/955514880], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 2677/26542080], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 19/25804800], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 293/5160960], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 983/73728000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 17481/83886080], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 1193/8192000], [[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 37/2211840], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 173/2064384], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 563/6193152], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 133157/849346560], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 40501/398131200], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 281/23887872], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 15319/660602880], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 293/5160960], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 90623/990904320], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 569/5160960], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 406207/2123366400], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 1551/13107200], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 453889/1769472000], [[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 10519/707788800], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 4343/61931520], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 11359/49545216], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 1415167/2264924160], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 34099/94371840], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 123401/1274019840], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 370373/629145600], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 518503/5945425920], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 90143/1061683200], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 217273/1415577600], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 11890667/13589544960], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 4033973/8493465600], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 34565/169869312], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/307200], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 29/645120], [[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 217/5898240], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 517/3686400], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 1001/14745600], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 13/1032192], [[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 29/645120], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 191/6193152], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 107/3870720], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 205/3538944], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 325343/1146617856], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 157/424673280], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 5003/212336640], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 1167773/237817036800], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 50713853/142690222080], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 2462137/81537269760], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 23197313/356725555200], [[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 738991/214035333120], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 172305421/1141521776640], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 955/37158912], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 2123/5945425920], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 2927/580608000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 3649/2229534720], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 383/10616832], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 7459/141557760], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 130123/796262400], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 2131/235929600], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1999/5573836800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 1274299/8918138880], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1824661/570760888320], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 54173/4246732800], [[[1, 5], [2, 10], [3, 2], [4, 1], [12, 1]], 91/849346560], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 176357/3567255552], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 13319/9555148800], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 263843/35672555520], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 38989/1061683200], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 310403/53508833280], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 7711/141557760], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 542623/95126814720], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 31873/917504000], [[[1, 5], [2, 10], [4, 1], [5, 1], [12, 1]], 41/141557760], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 12221/990904320], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 43523/495452160], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 16309927/126835752960], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 109213/530841600], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 14363/1274019840], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 66474901/951268147200], [[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 4597/3397386240], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 5429/1061683200], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 295717/6370099200], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 32694169/158544691200], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 6795197/22649241600], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 2672515/85614133248], [[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 7249/1415577600], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 221597/6193152000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 26449/707788800], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 99511/396361728000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 54130661/1027369598976], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 16637029/11415217766400], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 9608749/1426902220800], [[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 2239/30576476160], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 112489061/4280706662400], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 100679/127401984000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 403219/142690222080], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 17462911/1070176665600], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 2558749/611529523200], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 82919/16986931200], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 20533523/1268357529600], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 381363373/7134511104000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 84329/61152952320], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 44995211/25684239974400], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 3]], 1/122880], [[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/36864], [[[1, 5], [3, 1], [4, 2], [7, 1], [8, 2]], 1/86016], [[[1, 5], [3, 1], [4, 3], [5, 2], [8, 1]], 1/153600], [[[1, 5], [3, 1], [4, 3], [8, 1], [12, 2]], 1/82944], [[[1, 5], [3, 1], [4, 3], [8, 1], [20, 1]], 1/23040], [[[1, 5], [3, 1], [4, 5], [5, 1], [8, 1]], 1/589824], [[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 7/1327104], [[[1, 5], [3, 2], [4, 2], [5, 1], [8, 2]], 1/147456], [[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/147456], [[[1, 5], [3, 2], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 5], [3, 2], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 5], [3, 3], [4, 3], [5, 1], [8, 1]], 1/552960], [[[1, 5], [3, 3], [4, 3], [8, 1], [12, 1]], 1/165888], [[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/49152], [[[1, 5], [4, 3], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/192000], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 77/4718592], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 1/294912], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 32041/1132462080], [[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 1/147456], [[[1, 6], [2, 1], [3, 1], [4, 4], [20, 1]], 1/40960], [[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/1376256], [[[1, 6], [2, 1], [3, 1], [4, 6], [5, 1]], 37/56623104], [[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 493/188743680], [[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 3/1048576], [[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 175/2038431744], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 3]], 1/122880], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 2]], 1/153600], [[[1, 6], [2, 1], [3, 1], [8, 2], [16, 1]], 1/98304], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 23/4718592], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1/153600], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 11/589824], [[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 1/165888], [[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 1/147456], [[[1, 6], [2, 1], [3, 2], [4, 3], [20, 1]], 1/46080], [[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/688128], [[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 1/442368], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1513/226492416], [[[1, 6], [2, 1], [3, 2], [4, 5], [10, 1]], 1/5898240], [[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 115/10616832], [[[1, 6], [2, 1], [3, 2], [4, 6], [6, 1]], 11/42467328], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/345600], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 131/5308416], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/387072], [[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 1/829440], [[[1, 6], [2, 1], [3, 3], [4, 4], [8, 1]], 35/5308416], [[[1, 6], [2, 1], [3, 3], [4, 4], [12, 1]], 1/248832], [[[1, 6], [2, 1], [3, 3], [4, 5], [6, 1]], 5/15925248], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 2]], 1/276480], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 5/884736], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/1161216], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 1/663552], [[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 11/3538944], [[[1, 6], [2, 1], [3, 4], [4, 3], [10, 1]], 1/3317760], [[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 5/663552], [[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 7/7962624], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 2]], 1/165888], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 1/2488320], [[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/3981312], [[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 1/746496], [[[1, 6], [2, 1], [3, 5], [4, 3], [6, 1]], 1/5971968], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 13/3932160], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 3/204800], [[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 79/5898240], [[[1, 6], [2, 1], [4, 1], [8, 3], [12, 1]], 1/589824], [[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/89600], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 11/23592960], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 13/2752512], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 41/1572864], [[[1, 6], [2, 1], [4, 3], [5, 1], [12, 2]], 1/110592], [[[1, 6], [2, 1], [4, 3], [5, 1], [16, 1]], 1/40960], [[[1, 6], [2, 1], [4, 3], [5, 1], [20, 1]], 1/30720], [[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 71/2457600], [[[1, 6], [2, 1], [4, 3], [5, 2], [10, 1]], 1/256000], [[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 7/153600], [[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 61/3317760], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 5/589824], [[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 1/57600], [[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 1/1572864], [[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 13/1572864], [[[1, 6], [2, 1], [4, 3], [10, 1], [12, 2]], 1/552960], [[[1, 6], [2, 1], [4, 3], [10, 1], [20, 1]], 1/153600], [[[1, 6], [2, 1], [4, 3], [12, 1], [16, 1]], 1/49152], [[[1, 6], [2, 1], [4, 3], [12, 1], [20, 1]], 1/92160], [[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 3/573440], [[[1, 6], [2, 1], [4, 4], [7, 1], [8, 1]], 5/393216], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 3643/188743680], [[[1, 6], [2, 1], [4, 5], [5, 1], [10, 1]], 1/1638400], [[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 269/8847360], [[[1, 6], [2, 1], [4, 5], [6, 1], [7, 1]], 1/1376256], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 1529/106168320], [[[1, 6], [2, 1], [4, 5], [10, 1], [12, 1]], 1/2211840], [[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 101/707788800], [[[1, 6], [2, 1], [6, 1], [8, 2], [16, 1]], 1/491520], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 1357/9437184], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 79/1228800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 66847/113246208], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 2]], 1/460800], [[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 199/3981312], [[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 25/294912], [[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 127/1105920], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 319/254803968], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 251/8257536], [[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 11/5505024], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 6173/141557760], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 1165/113246208], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 72383/452984832], [[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 129/10485760], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 16151/127401984], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1107913/50960793600], [[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 1/33600], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 1/72000], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 3]], 151/7077888], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 2]], 1/5308416], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 1/86016], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 11/204800], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 7681/18874368], [[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 1/73728], [[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 5/73728], [[[1, 6], [2, 3], [3, 2], [4, 2], [20, 1]], 1/20480], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 83/7962624], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 31/774144], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/129024], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 3311/70778880], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 2947/56623104], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 25447/113246208], [[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1769/141557760], [[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 1553/10616832], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 1067/28311552], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 11/491520], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 7/129600], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 1/36000], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 19/393216], [[[1, 6], [2, 3], [3, 2], [6, 2], [16, 1]], 1/55296], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/36288], [[[1, 6], [2, 3], [3, 2], [8, 1], [16, 1]], 1/32768], [[[1, 6], [2, 3], [3, 2], [8, 2], [10, 1]], 23/2949120], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 247/3538944], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 2]], 1/172800], [[[1, 6], [2, 3], [3, 3], [4, 1], [16, 1]], 1/55296], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 77/1990656], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/43008], [[[1, 6], [2, 3], [3, 3], [4, 2], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 43/1327104], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 1817/23887872], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 3125/21233664], [[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 131/6635520], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 293/3981312], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 21635/382205952], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/77760], [[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 1/60480], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/129600], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 353/7962624], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 25/217728], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 23/373248], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 1/60480], [[[1, 6], [2, 3], [3, 3], [8, 1], [14, 1]], 1/96768], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 7/279936], [[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 1/82944], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 103/6635520], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 1357/23887872], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 49/1179648], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 1/147456], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 41/3981312], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1691/47775744], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 5/93312], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/129600], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 1/435456], [[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 1/36288], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 35/497664], [[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 1/77760], [[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 1/207360], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 31/2239488], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 17/3981312], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 61/11943936], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/933120], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 13/1492992], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/933120], [[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 3/44800], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 1/96000], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 349/28311552], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 1/7077888], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 43/688128], [[[1, 6], [2, 3], [4, 1], [7, 1], [16, 1]], 1/43008], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 1/65536], [[[1, 6], [2, 3], [4, 1], [14, 1], [16, 1]], 1/43008], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 8189/15728640], [[[1, 6], [2, 3], [4, 2], [5, 1], [12, 2]], 1/61440], [[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 29/245760], [[[1, 6], [2, 3], [4, 2], [5, 1], [20, 1]], 3/51200], [[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 23/5529600], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 577/2457600], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 239/1536000], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 17/307200], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 3737/849346560], [[[1, 6], [2, 3], [4, 2], [6, 2], [12, 2]], 7/3317760], [[[1, 6], [2, 3], [4, 2], [6, 2], [20, 1]], 7/921600], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/2457600], [[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 77/1474560], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 2063/7864320], [[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 17/409600], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 1167/26214400], [[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 671/4718592], [[[1, 6], [2, 3], [4, 2], [10, 1], [12, 2]], 13/1658880], [[[1, 6], [2, 3], [4, 2], [10, 1], [16, 1]], 3/81920], [[[1, 6], [2, 3], [4, 2], [10, 1], [20, 1]], 13/460800], [[[1, 6], [2, 3], [4, 2], [12, 1], [16, 1]], 11/147456], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 1/1327104], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 13/215040], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 31/737280], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 46181/566231040], [[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 217/6635520], [[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 29/589824], [[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 97/1843200], [[[1, 6], [2, 3], [4, 3], [6, 2], [7, 1]], 1/48384], [[[1, 6], [2, 3], [4, 3], [6, 3], [12, 1]], 1/7962624], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1145/4128768], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 1/53760], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 5/129024], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 103/860160], [[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 5/129024], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1387/424673280], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 4617/10485760], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 139/4718592], [[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 377/1474560], [[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 461/16515072], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 22987/3397386240], [[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 343/159252480], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 42887/943718400], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 27169/70778880], [[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 923/33177600], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 1213/35389440], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 90823/1358954496], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1079/283115520], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 29107/424673280], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 2]], 13/8847360], [[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 1/38400], [[[1, 6], [2, 3], [5, 1], [8, 1], [16, 1]], 3/81920], [[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 143/2457600], [[[1, 6], [2, 3], [5, 1], [10, 1], [16, 1]], 1/15360], [[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/33600], [[[1, 6], [2, 3], [5, 2], [6, 2], [8, 1]], 1/115200], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/12800], [[[1, 6], [2, 3], [6, 2], [8, 1], [16, 1]], 7/1474560], [[[1, 6], [2, 3], [8, 1], [10, 1], [16, 1]], 13/737280], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 29/71663616], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 979/14745600], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 211/11796480], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 751963/754974720], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 4571/73728000], [[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 71/4976640], [[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 397/1769472], [[[1, 6], [2, 5], [3, 1], [4, 2], [20, 1]], 71/1382400], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 64417/477757440], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 617/4128768], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 361/3096576], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 325087/1698693120], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 58841/169869312], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 893663/849346560], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 229/1310720], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 557249/1274019840], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 2279273/6794772480], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 449/29859840], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 653/17694720], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 673/2304000], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 13/115200], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 13/1228800], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 7/36000], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 203/2654208], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1/691200], [[[1, 6], [2, 5], [3, 1], [6, 2], [16, 1]], 1/27648], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 113/1741824], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 1/1161216], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 83/15925248], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 1/2488320], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 29/3686400], [[[1, 6], [2, 5], [3, 1], [8, 1], [16, 1]], 71/2211840], [[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 1/20480], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 13/1843200], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 395/3981312], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 955/4718592], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/23040], [[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 5/110592], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 5677/10616832], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 269/6193152], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 797/6193152], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 71033/530841600], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 57653/63700992], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1004387/1358954496], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 133/737280], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 181/884736], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 161063/339738624], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 187/622080], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/1935360], [[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 1/35840], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/32400], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 893/7077888], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 59/1382400], [[[1, 6], [2, 5], [3, 2], [6, 1], [16, 1]], 1/27648], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 323/1161216], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 37/258048], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 305/1990656], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/12288], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 13/3096576], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/35840], [[[1, 6], [2, 5], [3, 2], [8, 1], [14, 1]], 17/516096], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 23/645120], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 3869/5971968], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 13/4644864], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 155/2322432], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1009/26542080], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 12749/15925248], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 6157/35389440], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 3139/39813120], [[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 623/23887872], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 63835/191102976], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 577/2488320], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 13/3317760], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 101/2073600], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 55/3483648], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 185/1741824], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1039/3981312], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 269/933120], [[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 97/3317760], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 13/7962624], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 3241/11943936], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 65/4718592], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 227/13271040], [[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 13/23887872], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 9553/95551488], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/116640], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 451/15925248], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 247/4976640], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 773/71663616], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 11/2654208], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1129/3932160], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 133/614400], [[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 1/11520], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 31/460800], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 1997/29491200], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1213/3072000], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 13/1843200], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 137/2359296], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 1/1843200], [[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 5/221184], [[[1, 6], [2, 5], [4, 1], [6, 3], [7, 1]], 59/2322432], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/4644864], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 55/42467328], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 1/7962624], [[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 1/23887872], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 113/9830400], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 2317/7864320], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 983/5898240], [[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 2201/35389440], [[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 13/184320], [[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 1/1843200], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 881/26542080], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 17/286720], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 167/860160], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 2897/22118400], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 2073209/3397386240], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 259/55296000], [[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 223/19906560], [[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 193/983040], [[[1, 6], [2, 5], [4, 2], [6, 1], [20, 1]], 223/5529600], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 275/2064384], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 37/13271040], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 43/1474560], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 227/99532800], [[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 323/119439360], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 701/1179648], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 167/860160], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 1/18432], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 3935/8257536], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 1/403200], [[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 1/18432], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 631/4423680], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 1213889/1132462080], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 5663/14745600], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 2587/8847360], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 79/442368], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 95/1376256], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 368233/1132462080], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 19013/530841600], [[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 229/2654208], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 490943/943718400], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 1275791/1698693120], [[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 1327/8847360], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 193901/849346560], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1387343/1698693120], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 172063/2123366400], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 18053/53084160], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 1007/17694720], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 17/128000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 17/322560], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 13/1935360], [[[1, 6], [2, 5], [5, 1], [6, 3], [8, 1]], 37/3317760], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 13/4147200], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 13/860160], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 17/53760], [[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 1/28672], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 51/179200], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 113/3686400], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 127/384000], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 1/1228800], [[[1, 6], [2, 5], [6, 1], [8, 1], [16, 1]], 223/8847360], [[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 1553/88473600], [[[1, 6], [2, 5], [6, 2], [7, 1], [8, 1]], 1/57344], [[[1, 6], [2, 5], [6, 2], [7, 1], [10, 1]], 13/1935360], [[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 1/3096576], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 1/3317760], [[[1, 6], [2, 5], [7, 1], [8, 1], [10, 1]], 1/28672], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 1/860160], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 2333/221184000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 373367/2866544640], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 45511/251658240], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 5951/44236800], [[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 283/8847360], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 1585183/2548039680], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 12407/185794560], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 1801/7077888], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 27893/169869312], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 1268633/1132462080], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 63327673/67947724800], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 3644501/8493465600], [[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 35177/169869312], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 11596559/13589544960], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 2113/11943936], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 1/2419200], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 107/3870720], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 51/2048000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 175223/1698693120], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 4967/55296000], [[[1, 6], [2, 7], [3, 1], [6, 1], [16, 1]], 7/221184], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 29/221184], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 31/331776], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 3685/31850496], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 2659/33177600], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 1/241920], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 107/3870720], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 191/6193152], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 29/645120], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 10751/10616832], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 115/18579456], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 563/6193152], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 102683/2123366400], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 953759/566231040], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 300919/1132462080], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 190867/849346560], [[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 1517/47185920], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 100777/127401984], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 17633/66355200], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 523/88473600], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 27/409600], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 229/5806080], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 229/1548288], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 33527/106168320], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 5983/13271040], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 79/1966080], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1951/398131200], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 64633/95551488], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 3163/141557760], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 6029/132710400], [[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 1/933120], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 358199/1274019840], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1729/99532800], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 7309/159252480], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 7331/59719680], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 27853/955514880], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 287/2949120], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 319/25804800], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 569/5160960], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 1571/24576000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 213007/754974720], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 4127/73728000], [[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 43/1105920], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 257/2064384], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 215/6193152], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 23003/254803968], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 12631/398131200], [[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 125/23887872], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 140429/990904320], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 569/5160960], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 25289/141557760], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 293/5160960], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 84577/283115520], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 23289/52428800], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 26183/47185920], [[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 65549/1061683200], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 1175/5505024], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 4319/26542080], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 1331183/2264924160], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 132533/707788800], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 11101/141557760], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 277343/377487360], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 34495/169869312], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 107903/1061683200], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 532661/1415577600], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 29946451/22649241600], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 3259637/8493465600], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 249887/849346560], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 13/645120], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 191/3870720], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 193/3538944], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 1579/11059200], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 2071/14745600], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 29/1032192], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 191/3870720], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 107/6193152], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 1/151200], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 157/5898240], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 4921901/11466178560], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 13273/2972712960], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 94943/1486356480], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 16940081/475634073600], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 6968441/8493465600], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 12773383/81537269760], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 4354549/21233664000], [[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 399503/20384317440], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 3159928969/5707608883200], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 147289/1592524800], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 92179/29727129600], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 40499/1327104000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 10373/743178240], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 23923/371589120], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 98573/849346560], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 109457/530841600], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 17999/707788800], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 45043/8918138880], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 504787/990904320], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 2884507/126835752960], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 44219/849346560], [[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 2539/2548039680], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 260821/990904320], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 1831/123863040], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 20723/566231040], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 30149/265420800], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 592349/13377208320], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 90629/707788800], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 481339/12683575296], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 204103/1651507200], [[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 251/141557760], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 6449/141557760], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 48361/495452160], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 13393343/67947724800], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 12997/70778880], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 17921/1274019840], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 4837951/33973862400], [[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 18577/3963617280], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 8903/1061683200], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 156499/943718400], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 12481759/26424115200], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 33771097/84934656000], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 1632301/25480396800], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1091/56623104], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 19513/221184000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 32293/707788800], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 425419/169869312000], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 4202461283/25684239974400], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 11814353/1268357529600], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 40972873/1426902220800], [[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 16387/30576476160], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 233936081/1902536294400], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 112783/19110297600], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 1415443/114152177664], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 80175131/1783627776000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 4097627/142690222080], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 2723419/118908518400], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 62438639/1268357529600], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 728047993/7134511104000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 225533/61152952320], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 129751609/12842119987200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/24000], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 145/9437184], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 203/3686400], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 23317/188743680], [[[1, 7], [2, 2], [3, 1], [4, 3], [12, 2]], 43/6635520], [[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 1/65536], [[[1, 7], [2, 2], [3, 1], [4, 3], [20, 1]], 43/1843200], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 103/8257536], [[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 5/16515072], [[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 815/56623104], [[[1, 7], [2, 2], [3, 1], [4, 5], [6, 2]], 55/169869312], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 73511/2264924160], [[[1, 7], [2, 2], [3, 1], [4, 5], [10, 1]], 11/15728640], [[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 11059/424673280], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 114113/50960793600], [[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 1/33600], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 1/72000], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 3]], 1/2359296], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 1/86016], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 121/1843200], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1667/18874368], [[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 1/663552], [[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 1/73728], [[[1, 7], [2, 2], [3, 2], [4, 2], [20, 1]], 1/184320], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/36864], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 2191/70778880], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 413/169869312], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 67357/1132462080], [[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 53/15728640], [[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 421/10616832], [[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 2275/339738624], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 41/1474560], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/129600], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 1/38400], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 1/36000], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 7/3538944], [[[1, 7], [2, 2], [3, 2], [8, 1], [16, 1]], 1/294912], [[[1, 7], [2, 2], [3, 2], [8, 2], [10, 1]], 1/983040], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1/28800], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 325/7077888], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 11/387072], [[[1, 7], [2, 2], [3, 3], [4, 2], [14, 1]], 1/580608], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 181/6635520], [[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1/147456], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1093/21233664], [[[1, 7], [2, 2], [3, 3], [4, 3], [10, 1]], 1/414720], [[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 95/2654208], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 10057/764411904], [[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 1/60480], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 7/129600], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 271/15925248], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 19/217728], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 1/96768], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/60480], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 1/82944], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 25/1327104], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 367/23887872], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 1259/31850496], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 13/2211840], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 19/1327104], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 893/47775744], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 19/466560], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/103680], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/129600], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 13/435456], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 1/124416], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/155520], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1/186624], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 13/1327104], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 1/1244160], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 1/746496], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 85/11943936], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 13/933120], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 13/1492992], [[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 1/933120], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 1/2239488], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 3/44800], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 3]], 25/28311552], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 13/1376256], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1163/15728640], [[[1, 7], [2, 2], [4, 2], [5, 1], [12, 2]], 1/552960], [[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 1/49152], [[[1, 7], [2, 2], [4, 2], [5, 1], [20, 1]], 1/153600], [[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 1/1105920], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 23/122880], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 101/1536000], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 17/307200], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 227/849346560], [[[1, 7], [2, 2], [4, 2], [6, 2], [12, 2]], 1/9953280], [[[1, 7], [2, 2], [4, 2], [6, 2], [20, 1]], 1/2764800], [[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 199/30965760], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 151/7864320], [[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 59/8601600], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 131/78643200], [[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 917/70778880], [[[1, 7], [2, 2], [4, 2], [10, 1], [12, 2]], 1/1658880], [[[1, 7], [2, 2], [4, 2], [10, 1], [16, 1]], 1/245760], [[[1, 7], [2, 2], [4, 2], [10, 1], [20, 1]], 1/460800], [[[1, 7], [2, 2], [4, 2], [12, 1], [16, 1]], 1/147456], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 13/215040], [[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 7/1228800], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 2281/566231040], [[[1, 7], [2, 2], [4, 3], [6, 1], [12, 2]], 5/3981312], [[[1, 7], [2, 2], [4, 3], [6, 1], [20, 1]], 1/221184], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 67/1376256], [[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 1/10321920], [[[1, 7], [2, 2], [4, 4], [5, 1], [6, 2]], 199/424673280], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 100499/943718400], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 943/117964800], [[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 299/4423680], [[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 137/16515072], [[[1, 7], [2, 2], [4, 4], [6, 2], [12, 1]], 23/159252480], [[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 43/14745600], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 2981/55050240], [[[1, 7], [2, 2], [4, 4], [10, 1], [12, 1]], 49/16588800], [[[1, 7], [2, 2], [4, 5], [5, 1], [6, 1]], 307/283115520], [[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 2491/1358954496], [[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 73/79626240], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 2]], 1/8847360], [[[1, 7], [2, 2], [5, 1], [8, 1], [16, 1]], 1/245760], [[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 11/2457600], [[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/33600], [[[1, 7], [2, 2], [6, 2], [8, 1], [16, 1]], 1/4423680], [[[1, 7], [2, 2], [8, 1], [10, 1], [16, 1]], 1/737280], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 3047/14745600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 59/106168320], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 483443/754974720], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 911/73728000], [[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 37/4976640], [[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 127/1769472], [[[1, 7], [2, 4], [3, 1], [4, 2], [20, 1]], 37/1382400], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 221/15925248], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 433/3096576], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 463/20643840], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 352471/1698693120], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 85/1048576], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 3825959/6794772480], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 3499/58982400], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 311473/1274019840], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 148901/1132462080], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 29/29859840], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 809/17694720], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 109/2304000], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 17/172800], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 59/1843200], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 7/57600], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 943/53084160], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 55/3483648], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/3981312], [[[1, 7], [2, 4], [3, 1], [8, 1], [16, 1]], 37/2211840], [[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 1/92160], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 3/51200], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 29/5971968], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1093/4718592], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 23/1843200], [[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 1/32768], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 15577/159252480], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 275/2064384], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 83/2064384], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 65/294912], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 69127/212336640], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 95387/150994944], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1687/19660800], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 253/1327104], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 29707/113246208], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 263/2488320], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 13/1935360], [[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 17/322560], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 47/414720], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 205/2359296], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 1/460800], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 251/1161216], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 11/774144], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 1631/39813120], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 11/1658880], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 1/57344], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 17/322560], [[[1, 7], [2, 4], [3, 2], [8, 1], [14, 1]], 23/1032192], [[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 1/215040], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 7531/35831808], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 59/2322432], [[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 253/4644864], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 119/983040], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 3487/7962624], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 12607/42467328], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 2911/39813120], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 1355/23887872], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 58723/191102976], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 773/2488320], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 17/829440], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 161/2073600], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 113/1741824], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 223/3483648], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 169/884736], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 637/7464960], [[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 169/6635520], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 77/3981312], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 10039/35831808], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 5957/127401984], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 19/737280], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 13/3981312], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 16543/95551488], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 361/7464960], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1477/23887872], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 89/1658880], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 443/11943936], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 1607/7864320], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 103/1536000], [[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 3/81920], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 47/1105920], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 179/1179648], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 19/64000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 1/61440], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 263/35389440], [[[1, 7], [2, 4], [4, 1], [6, 2], [16, 1]], 7/1474560], [[[1, 7], [2, 4], [4, 1], [6, 3], [7, 1]], 13/4644864], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 11/127401984], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 7/9830400], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 17573/247726080], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 3479/117964800], [[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 653/23592960], [[[1, 7], [2, 4], [4, 1], [10, 1], [16, 1]], 13/737280], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 11/1769472], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 167/860160], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 17/286720], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 2669/22118400], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 85141/679477248], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 19/55296000], [[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 71/19906560], [[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 97/2949120], [[[1, 7], [2, 4], [4, 2], [6, 1], [20, 1]], 71/5529600], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 269/6193152], [[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 19/92897280], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 1303/637009920], [[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 17/99532800], [[[1, 7], [2, 4], [4, 2], [6, 3], [12, 1]], 23/119439360], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 2195/8257536], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 17/286720], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 1/129024], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 3503/41287680], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 1/6451200], [[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 1/129024], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 16901/530841600], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 335531/377487360], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 26441/147456000], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 427/1769472], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 457/4128768], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/967680], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 1239/41943040], [[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 43/29491200], [[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 223/26542080], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 22183/188743680], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 523877/1698693120], [[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 481/14745600], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 100169/849346560], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 1440853/6794772480], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 36397/2123366400], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 23/248832], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 419/17694720], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 7/384000], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 1/35840], [[[1, 7], [2, 4], [5, 1], [6, 2], [14, 1]], 1/1935360], [[[1, 7], [2, 4], [5, 1], [6, 3], [8, 1]], 13/6635520], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 1/4147200], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/28672], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/10752], [[[1, 7], [2, 4], [5, 1], [8, 1], [14, 1]], 13/860160], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/25600], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 19/614400], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 7/76800], [[[1, 7], [2, 4], [6, 1], [8, 1], [16, 1]], 71/8847360], [[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 173/88473600], [[[1, 7], [2, 4], [6, 2], [7, 1], [8, 1]], 13/3096576], [[[1, 7], [2, 4], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 7], [2, 4], [7, 1], [8, 1], [10, 1]], 13/860160], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 4127/73728000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 27853/955514880], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 213007/754974720], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 1571/24576000], [[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 43/1105920], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 358199/1274019840], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 4319/26542080], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 1175/5505024], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 3259637/8493465600], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 100777/127401984], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 29946451/22649241600], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 532661/1415577600], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 249887/849346560], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 11596559/13589544960], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 7331/59719680], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 1/151200], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 191/3870720], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 4967/55296000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 175223/1698693120], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 51/2048000], [[[1, 7], [2, 6], [3, 1], [6, 1], [16, 1]], 7/221184], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 229/1548288], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 229/5806080], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 7309/159252480], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1729/99532800], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 107/6193152], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 191/3870720], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 29/1032192], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 13/645120], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 64633/95551488], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 215/6193152], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 257/2064384], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 132533/707788800], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 953759/566231040], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 1331183/2264924160], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 84577/283115520], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 11101/141557760], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 1268633/1132462080], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 5983/13271040], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 157/5898240], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 1579/11059200], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 31/331776], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 29/221184], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 33527/106168320], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 17633/66355200], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 193/3538944], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 12631/398131200], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 10751/10616832], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 23003/254803968], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 287/2949120], [[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 125/23887872], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 1585183/2548039680], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 2659/33177600], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 3685/31850496], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 2113/11943936], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 373367/2866544640], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 6029/132710400], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 293/5160960], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 569/5160960], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 5951/44236800], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 45511/251658240], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 2333/221184000], [[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 283/8847360], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 563/6193152], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 115/18579456], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 3163/141557760], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1951/398131200], [[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 1/933120], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 25289/141557760], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 569/5160960], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 140429/990904320], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 319/25804800], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 190867/849346560], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 277343/377487360], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 26183/47185920], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 107903/1061683200], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 1801/7077888], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 12407/185794560], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 300919/1132462080], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 102683/2123366400], [[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 1517/47185920], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 23289/52428800], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 34495/169869312], [[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 65549/1061683200], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 3644501/8493465600], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 63327673/67947724800], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 27893/169869312], [[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 35177/169869312], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 29/645120], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 107/3870720], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 79/1966080], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 27/409600], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 2071/14745600], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 191/6193152], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 107/3870720], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 1/241920], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 1/2419200], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 523/88473600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 1421723/3822059520], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 40781/1486356480], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 7183/70778880], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 67180709/475634073600], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 4583561/4246732800], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 6148039/13589544960], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 2506133/7077888000], [[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 364609/6794772480], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 220860631/203843174400], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 293509/1592524800], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1201/88473600], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 115157/1327104000], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 575/10616832], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 29683/371589120], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 2963/21233664], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 83671/530841600], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 1781/44236800], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 64363/2123366400], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 2557601/2548039680], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 6362617/76101451776], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 131213/1061683200], [[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 1853/424673280], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 12928387/16986931200], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 1153/16588800], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 20051/212336640], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 52259/265420800], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 68059/382205952], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 7379/44236800], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 38515751/317089382400], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 16457/65536000], [[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 5429/1061683200], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 45443/495452160], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 100703/1486356480], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 11765543/67947724800], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 68903/707788800], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 487/47185920], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 1217939/6794772480], [[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 5029/566231040], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 8903/1061683200], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 2799799/8493465600], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 8607839/13589544960], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 324977/1048576000], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 1977181/25480396800], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 2621/70778880], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 557/4608000], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 1931/58982400], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 20207113/1426902220800], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 443242301/1426902220800], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 416594021/11415217766400], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 1349669/18874368000], [[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 8507/4076863488], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 93480991/271790899200], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 26557913/1070176665600], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 94109387/2853804441600], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 123029/1572864000], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 139384859/1223059046400], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 16453543/264241152000], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 1093845923/11415217766400], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 10436441/84934656000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 156691/25480396800], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 305637151/8561413324800], [[[1, 7], [3, 1], [4, 2], [5, 1], [8, 2]], 37/5898240], [[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 1/57600], [[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/589824], [[[1, 7], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 7], [3, 1], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/57600], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/161280], [[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 1/163840], [[[1, 7], [3, 2], [4, 3], [8, 1], [12, 1]], 1/589824], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/96768], [[[1, 7], [3, 3], [4, 2], [5, 1], [12, 1]], 1/103680], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/207360], [[[1, 7], [4, 3], [5, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/24000], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 7/15728640], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 89/3686400], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 827/188743680], [[[1, 8], [2, 1], [3, 1], [4, 3], [12, 2]], 1/2211840], [[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 1/589824], [[[1, 8], [2, 1], [3, 1], [4, 3], [20, 1]], 1/614400], [[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 11/5505024], [[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 203/56623104], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 4751/2264924160], [[[1, 8], [2, 1], [3, 1], [4, 5], [10, 1]], 1/9437184], [[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 151/47185920], [[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 47/1698693120], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 1/33600], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 11/614400], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 547/56623104], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/129024], [[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 533/141557760], [[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 1979/377487360], [[[1, 8], [2, 1], [3, 2], [4, 4], [12, 1]], 133/53084160], [[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 35/113246208], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 2]], 23/2949120], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/38400], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 1/28800], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 41/7077888], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 1/145152], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 91/6635520], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 517/70778880], [[[1, 8], [2, 1], [3, 3], [4, 3], [10, 1]], 1/1658880], [[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 19/2654208], [[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 31/28311552], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/60480], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/21600], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 2]], 1/589824], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/96768], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/82944], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 113/19906560], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 269/31850496], [[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 125/23887872], [[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 47/47775744], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/103680], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/36288], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/155520], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 25/3981312], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 1/1244160], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 1/746496], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 11/3981312], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/77760], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 1/1492992], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/2239488], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 3/44800], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 1/1376256], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1153/235929600], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 17/1228800], [[[1, 8], [2, 1], [4, 2], [5, 2], [12, 1]], 13/1843200], [[[1, 8], [2, 1], [4, 2], [8, 1], [12, 2]], 1/10321920], [[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 97/94371840], [[[1, 8], [2, 1], [4, 2], [8, 1], [20, 1]], 1/2867200], [[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 1/2211840], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/1228800], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 67/566231040], [[[1, 8], [2, 1], [4, 3], [6, 1], [12, 2]], 1/19906560], [[[1, 8], [2, 1], [4, 3], [6, 1], [20, 1]], 1/5529600], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/645120], [[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 3199/943718400], [[[1, 8], [2, 1], [4, 4], [5, 1], [12, 1]], 1/691200], [[[1, 8], [2, 1], [4, 4], [8, 1], [10, 1]], 1/29491200], [[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 85/99090432], [[[1, 8], [2, 1], [4, 5], [5, 1], [6, 1]], 31/283115520], [[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 1/19906560], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1729/7372800], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 80147/528482304], [[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 59/46448640], [[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 43/2949120], [[[1, 8], [2, 3], [3, 1], [4, 2], [20, 1]], 59/12902400], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 13/35389440], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 241/3096576], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 1/327680], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 137/1310720], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 26611/5096079360], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 107119/754974720], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 4141/471859200], [[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 12841/185794560], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 69721/3397386240], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 181/5898240], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 119/4147200], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 19/368640], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 59/1152000], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 2]], 97/106168320], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/1161216], [[[1, 8], [2, 3], [3, 1], [8, 1], [16, 1]], 59/20643840], [[[1, 8], [2, 3], [3, 1], [8, 2], [10, 1]], 7/9830400], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 7/46080], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 113/1179648], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 2]], 1/614400], [[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/294912], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 311/79626240], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 797/6193152], [[[1, 8], [2, 3], [3, 2], [4, 2], [14, 1]], 19/4423680], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 359/2211840], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1607/42467328], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 248377/1132462080], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 427/19660800], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 35/442368], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 163819/2548039680], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 29/2488320], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 1/35840], [[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 23/645120], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 13/76800], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 599/26542080], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 55/774144], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/491520], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 17/516096], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 23/645120], [[[1, 8], [2, 3], [3, 2], [8, 1], [14, 1]], 1/344064], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 739/35831808], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 155/2322432], [[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 7/663552], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 217/1474560], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 39859/477757440], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 2767/14155776], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1147/44236800], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 121/2654208], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 52681/477757440], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 2851/14929920], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 19/414720], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 169/4147200], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 185/1741824], [[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 1/129024], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 371/7962624], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 37/6635520], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 1069/19906560], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 3919/35831808], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 8005/127401984], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 103/6635520], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 29/3981312], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 20503/191102976], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 743/7464960], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 1195/23887872], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 557/29859840], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 571/11943936], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 167/2621440], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 11/1536000], [[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 1/245760], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 43/5529600], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 87/655360], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1/16000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 1/61440], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 31/70778880], [[[1, 8], [2, 3], [4, 1], [6, 2], [16, 1]], 1/4423680], [[[1, 8], [2, 3], [4, 1], [6, 3], [7, 1]], 1/4644864], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 263/35389440], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 169/117964800], [[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 647/165150720], [[[1, 8], [2, 3], [4, 1], [10, 1], [16, 1]], 1/737280], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 167/860160], [[[1, 8], [2, 3], [4, 2], [5, 1], [14, 1]], 1/403200], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 667/14745600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 23635/2113929216], [[[1, 8], [2, 3], [4, 2], [6, 1], [12, 2]], 29/69672960], [[[1, 8], [2, 3], [4, 2], [6, 1], [16, 1]], 5/1769472], [[[1, 8], [2, 3], [4, 2], [6, 1], [20, 1]], 29/19353600], [[[1, 8], [2, 3], [4, 2], [6, 2], [7, 1]], 37/13271040], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 73/637009920], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 599/8257536], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 1/403200], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 23/41287680], [[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 2201/530841600], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 77957/314572800], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 5821/147456000], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 683/8847360], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 125/4128768], [[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 1/15482880], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 139679/95126814720], [[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 1/9830400], [[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 13/26542080], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 175849/15854469120], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 23839/528482304], [[[1, 8], [2, 3], [4, 3], [10, 1], [12, 1]], 41/14745600], [[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 29689/2123366400], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 82037/6794772480], [[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 2369/5662310400], [[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 106541/17836277760], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 2]], 259/44236800], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 13/1935360], [[[1, 8], [2, 3], [5, 1], [6, 3], [8, 1]], 1/6635520], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 1/28672], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 13/537600], [[[1, 8], [2, 3], [5, 1], [8, 1], [14, 1]], 1/860160], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 7/614400], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 13/2304000], [[[1, 8], [2, 3], [6, 1], [8, 1], [16, 1]], 29/30965760], [[[1, 8], [2, 3], [6, 2], [7, 1], [8, 1]], 1/3096576], [[[1, 8], [2, 3], [7, 1], [8, 1], [10, 1]], 1/860160], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 1193/8192000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 3179/955514880], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 17481/83886080], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 983/73728000], [[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 37/2211840], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 56003/1274019840], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 11359/49545216], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 4343/61931520], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 4033973/8493465600], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1186873/5096079360], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 11890667/13589544960], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 217273/1415577600], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 34565/169869312], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 3144925/8153726976], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1313/33177600], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 107/3870720], [[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 29/645120], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 5017/33177600], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 16061/339738624], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 43/18432000], [[[1, 8], [2, 5], [3, 1], [6, 1], [16, 1]], 1/221184], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 169/2322432], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 37/23224320], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 517/53084160], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 119/99532800], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 191/6193152], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 29/645120], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 13/1032192], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/307200], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 27029/159252480], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 563/6193152], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 173/2064384], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 34099/94371840], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 203987/283115520], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 1415167/2264924160], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 406207/2123366400], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 123401/1274019840], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 504277/679477248], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 557/1474560], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 205/3538944], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 517/3686400], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 197/1548288], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 523/11612160], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 3217/21233664], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 13007/199065600], [[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 217/5898240], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 40501/398131200], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 331001/477757440], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 133157/849346560], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 2677/26542080], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 281/23887872], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 5003917/7644119040], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 10681/59719680], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 4493/31850496], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 4079/33177600], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 132457/573308928], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 1259/132710400], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 569/5160960], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 293/5160960], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 5813/44236800], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 8635/150994944], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 143/221184000], [[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 71/8847360], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 215/6193152], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 1/2654208], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 12527/3963617280], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 121/398131200], [[[1, 8], [2, 5], [4, 1], [6, 3], [12, 1]], 1/14929920], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 90623/990904320], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 293/5160960], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 15319/660602880], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 19/25804800], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 55349/707788800], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 370373/629145600], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 453889/1769472000], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 90143/1061683200], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 25553/185794560], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 2873/495452160], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 32533/679477248], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 354103/59454259200], [[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 5257/849346560], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 1551/13107200], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 518503/5945425920], [[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 10519/707788800], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 1901429/8493465600], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 3371671/12683575296], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 143129/4246732800], [[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 10475/169869312], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 191/3870720], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/151200], [[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 293/17694720], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 2317/165888000], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 1001/14745600], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 107/6193152], [[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 1/151200], [[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 1/3870720], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 11/29491200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 68059/382205952], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 100703/1486356480], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 45443/495452160], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 324977/1048576000], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 12928387/16986931200], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 8607839/13589544960], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 2799799/8493465600], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 1977181/25480396800], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 220860631/203843174400], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 52259/265420800], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 1931/58982400], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 557/4608000], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 29683/371589120], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 575/10616832], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 20051/212336640], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 1153/16588800], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 2621/70778880], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 68903/707788800], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 2557601/2548039680], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 11765543/67947724800], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 7379/44236800], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 487/47185920], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 4583561/4246732800], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 83671/530841600], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 2963/21233664], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 293509/1592524800], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 1421723/3822059520], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 131213/1061683200], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 1217939/6794772480], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 16457/65536000], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 8903/1061683200], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 7183/70778880], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 40781/1486356480], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 6362617/76101451776], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 64363/2123366400], [[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 1853/424673280], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 38515751/317089382400], [[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 5029/566231040], [[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 5429/1061683200], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 2506133/7077888000], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 6148039/13589544960], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 67180709/475634073600], [[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 364609/6794772480], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 1781/44236800], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 115157/1327104000], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1201/88473600], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 67861861/1426902220800], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 38152661/101921587200], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 5131453/60397977600], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 18721361/169869312000], [[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 96203/20384317440], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 565122211/951268147200], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 36581179/594542592000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 3628531/67947724800], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 625861/7077888000], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 777438509/2853804441600], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 250159747/2378170368000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 17724023/152202903552], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 2716147/28311552000], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 170191/25480396800], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 354410017/4280706662400], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 709/7372800], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 31919/2642411520], [[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 1/15482880], [[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 1/983040], [[[1, 9], [2, 2], [3, 1], [4, 2], [20, 1]], 1/4300800], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 463/20643840], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 8783/353894400], [[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 631/5096079360], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 160747/10569646080], [[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 1627/1415577600], [[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 367/41287680], [[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 2053/2717908992], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 41/5898240], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 11/4147200], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 41/1228800], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 11/1152000], [[[1, 9], [2, 2], [3, 1], [6, 2], [8, 2]], 1/106168320], [[[1, 9], [2, 2], [3, 1], [8, 1], [16, 1]], 1/6881280], [[[1, 9], [2, 2], [3, 1], [8, 2], [10, 1]], 1/29491200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 247/1843200], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 97/5898240], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 83/2064384], [[[1, 9], [2, 2], [3, 2], [4, 2], [14, 1]], 13/30965760], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 8771/176947200], [[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 67/53084160], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 11839/377487360], [[[1, 9], [2, 2], [3, 2], [4, 3], [10, 1]], 133/88473600], [[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 143/8847360], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 7337/1274019840], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 17/322560], [[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 1/215040], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 7/69120], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 121/53084160], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/258048], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 23/1032192], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 1/215040], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 253/4644864], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 917/13271040], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 2509/477757440], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 15701/318504960], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 23/4915200], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 37/2654208], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 3847/238878720], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 559/14929920], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 23/663552], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 37/4147200], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 223/3483648], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 1/442368], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 2029/39813120], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 37/5971968], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 1417/42467328], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 25/7962624], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 125/23887872], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 17627/955514880], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 277/3732480], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 569/47775744], [[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 17/29859840], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 173/7962624], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 487/58982400], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 83/1966080], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 13/3072000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 13/1843200], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 59/141557760], [[[1, 9], [2, 2], [4, 1], [8, 2], [12, 1]], 1/6881280], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 17/286720], [[[1, 9], [2, 2], [4, 2], [5, 1], [14, 1]], 1/6451200], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 29/4915200], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 4103/10569646080], [[[1, 9], [2, 2], [4, 2], [6, 1], [12, 2]], 1/69672960], [[[1, 9], [2, 2], [4, 2], [6, 1], [16, 1]], 1/8847360], [[[1, 9], [2, 2], [4, 2], [6, 1], [20, 1]], 1/19353600], [[[1, 9], [2, 2], [4, 2], [6, 2], [7, 1]], 19/92897280], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 383/41287680], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 1/6451200], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 5681/314572800], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 1/1152000], [[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 383/44236800], [[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 1/967680], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1853/31708938240], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 6119/26424115200], [[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 10931/7927234560], [[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 2809/2123366400], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 40129/95126814720], [[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 29/1132462080], [[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 5629/17836277760], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 2]], 19/44236800], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 13/860160], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 1/537600], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 13/3686400], [[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 1/2304000], [[[1, 9], [2, 2], [6, 1], [8, 1], [16, 1]], 1/30965760], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 2923/14745600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 7/47775744], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 235307/3523215360], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 7/6144000], [[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 59/20643840], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 119071/35672555520], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 3109/16515072], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 23/2293760], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 140597/471859200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 3871183/142690222080], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 264661/905969664], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1369999/39636172800], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 176573/2378170368], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 44833867/570760888320], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 679/99532800], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 191/3870720], [[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 13/645120], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 857/6635520], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 35453/3397386240], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 1/13824000], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 109/5806080], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 1/23224320], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 109/159252480], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/49766400], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 29/1032192], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 13/645120], [[[1, 9], [2, 4], [3, 1], [8, 1], [14, 1]], 1/491520], [[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 1/6451200], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 9139/477757440], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 257/2064384], [[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 145/6193152], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 6823/18874368], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 39223/283115520], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 384487/1132462080], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 125851/2123366400], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 78083/1274019840], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 1208357/5096079360], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 10631/66355200], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 1207/17694720], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 239/3686400], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 19/172032], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 19/2903040], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 8207/247726080], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 1097/199065600], [[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 883/88473600], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 2611/15925248], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 338263/1433272320], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 352943/2548039680], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 6577/132710400], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 55/3981312], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 1299413/3822059520], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 12499/59719680], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 39287/477757440], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 49/1228800], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 1399/7077888], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 83/79626240], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 569/5160960], [[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 319/25804800], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 1447/24576000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 232861/31708938240], [[[1, 9], [2, 4], [4, 1], [6, 1], [16, 1]], 29/30965760], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 115/18579456], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 6287/35672555520], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 40589/990904320], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 319/25804800], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 509/660602880], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 25243/2123366400], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 442097/1887436800], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 92317/1769472000], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 42029/1061683200], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 7727/185794560], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 169/495452160], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1325399/285380444160], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 21071/59454259200], [[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 205/509607936], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 146119/11324620800], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 168907/11890851840], [[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 829/707788800], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 28417/530841600], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 2145491/63417876480], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 347357/118908518400], [[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 269449/35672555520], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 107/3870720], [[[1, 9], [2, 4], [5, 1], [6, 1], [14, 1]], 1/2419200], [[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 103/29491200], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 127/165888000], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 1289/103219200], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 1/241920], [[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 1/2419200], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 592349/13377208320], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 48361/495452160], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 6449/141557760], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 33771097/84934656000], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 260821/990904320], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 12481759/26424115200], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 156499/943718400], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 1632301/25480396800], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 3159928969/5707608883200], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 30149/265420800], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 32293/707788800], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 19513/221184000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 23923/371589120], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 10373/743178240], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 20723/566231040], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 1831/123863040], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1091/56623104], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 12997/70778880], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 504787/990904320], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 13393343/67947724800], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 90629/707788800], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 17921/1274019840], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 6968441/8493465600], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 109457/530841600], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 98573/849346560], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 147289/1592524800], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 4921901/11466178560], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 44219/849346560], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 4837951/33973862400], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 204103/1651507200], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 8903/1061683200], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 94943/1486356480], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 13273/2972712960], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 2884507/126835752960], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 45043/8918138880], [[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 2539/2548039680], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 481339/12683575296], [[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 18577/3963617280], [[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 251/141557760], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 4354549/21233664000], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 12773383/81537269760], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 16940081/475634073600], [[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 399503/20384317440], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 17999/707788800], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 40499/1327104000], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 92179/29727129600], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 2716147/28311552000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 777438509/2853804441600], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 17724023/152202903552], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 250159747/2378170368000], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 170191/25480396800], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 565122211/951268147200], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 625861/7077888000], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 3628531/67947724800], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 36581179/594542592000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 38152661/101921587200], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 18721361/169869312000], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 5131453/60397977600], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 67861861/1426902220800], [[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 96203/20384317440], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 4438139693/34245653299200], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 11/1843200], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/161280], [[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 67/58982400], [[[1, 9], [3, 1], [4, 3], [8, 1], [12, 1]], 1/17694720], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 1/344064], [[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 1/368640], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 37/6635520], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/860160], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 503/73728000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 47183/95126814720], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/327680], [[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 283/377487360], [[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 3449/6341787648], [[[1, 10], [2, 1], [3, 1], [4, 4], [12, 1]], 451/2548039680], [[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 277/13589544960], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 2]], 7/9830400], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/245760], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 7/204800], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 23/23592960], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 19/4423680], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1471/176947200], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 18743/10569646080], [[[1, 10], [2, 1], [3, 2], [4, 3], [10, 1]], 13/88473600], [[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 13/8847360], [[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 23/169869312], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 23/645120], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 11/691200], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 2]], 1/17694720], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 1/344064], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 7/663552], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 3211/398131200], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 157/39813120], [[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 193/119439360], [[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 391/955514880], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 19/3317760], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/129024], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 601/39813120], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 3193/637009920], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 17/39813120], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 17/23887872], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 131/79626240], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 37/2488320], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 17/47775744], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 5/7962624], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 11/29491200], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 131/29491200], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 1/3072000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 1/1843200], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/198180864], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/403200], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 23/41287680], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 60973/79272345600], [[[1, 10], [2, 1], [4, 3], [5, 1], [10, 1]], 1/18432000], [[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 23/44236800], [[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 1/15482880], [[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 67/3397386240], [[[1, 10], [2, 1], [4, 4], [6, 1], [8, 1]], 1181/95126814720], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/860160], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 1/3686400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 1961/14745600], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 113819/10569646080], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 2]], 1/18432000], [[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 1/6881280], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 3767/35672555520], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 4343/61931520], [[[1, 10], [2, 3], [3, 1], [4, 2], [14, 1]], 451/1486356480], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 38273/471859200], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 217/150994944], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 8408263/190253629440], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 34331/7927234560], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 160283/11890851840], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 10991273/1712282664960], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 7/19906560], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 29/645120], [[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 1/307200], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 2971/55296000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 11497/10192158720], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 37/23224320], [[[1, 10], [2, 3], [3, 1], [6, 3], [8, 1]], 1/79626240], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 13/1032192], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 1/307200], [[[1, 10], [2, 3], [3, 1], [8, 1], [14, 1]], 1/10321920], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 307/477757440], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 173/2064384], [[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 13/6193152], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 123253/707788800], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 742207/71345111040], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 33841/377487360], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 65111/6606028800], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 15901/849346560], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 2372191/71345111040], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 5761/199065600], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 77/1966080], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 883/55296000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 523/11612160], [[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 1/3870720], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 239/82575360], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 1/8294400], [[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 73/88473600], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 10433/79626240], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 45229/1433272320], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 81007/1274019840], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 1327/132710400], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 31/3981312], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 275321/3822059520], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 36257/298598400], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 10589/477757440], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 1277/298598400], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 77999/955514880], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 1/15925248], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 293/5160960], [[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 19/25804800], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 851/73728000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 12571/31708938240], [[[1, 10], [2, 3], [4, 1], [6, 1], [16, 1]], 1/30965760], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/2654208], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 6359/660602880], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 19/25804800], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 43/1981808640], [[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 135229/178362777600], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 86543/1887436800], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 281557/49545216000], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 6359/707788800], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 2873/495452160], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 57167/285380444160], [[[1, 10], [2, 3], [4, 2], [6, 2], [12, 1]], 43/7644119040], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 5299/11324620800], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 9937/11890851840], [[[1, 10], [2, 3], [4, 2], [10, 1], [12, 1]], 43/2123366400], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1237/212336640], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 16889/7046430720], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 19589/118908518400], [[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 16903/35672555520], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/151200], [[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 19/88473600], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 71/103219200], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 1/3870720], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 310403/53508833280], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 43523/495452160], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 12221/990904320], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 6795197/22649241600], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 176357/3567255552], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 32694169/158544691200], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 295717/6370099200], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 2672515/85614133248], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 172305421/1141521776640], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 38989/1061683200], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 26449/707788800], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 221597/6193152000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 383/10616832], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 3649/2229534720], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 263843/35672555520], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 13319/9555148800], [[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 7249/1415577600], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 109213/530841600], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 1274299/8918138880], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 16309927/126835752960], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 7711/141557760], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 14363/1274019840], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 50713853/142690222080], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 130123/796262400], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 7459/141557760], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 955/37158912], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 325343/1146617856], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 54173/4246732800], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 66474901/951268147200], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 31873/917504000], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 5429/1061683200], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 5003/212336640], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 157/424673280], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1824661/570760888320], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1999/5573836800], [[[1, 10], [2, 5], [4, 1], [6, 2], [12, 1]], 91/849346560], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 542623/95126814720], [[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 4597/3397386240], [[[1, 10], [2, 5], [4, 1], [10, 1], [12, 1]], 41/141557760], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 23197313/356725555200], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 2462137/81537269760], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 1167773/237817036800], [[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 738991/214035333120], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 2131/235929600], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 2927/580608000], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 2123/5945425920], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 10436441/84934656000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 139384859/1223059046400], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 1093845923/11415217766400], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 16453543/264241152000], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 156691/25480396800], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 93480991/271790899200], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 123029/1572864000], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 94109387/2853804441600], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 26557913/1070176665600], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 443242301/1426902220800], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 1349669/18874368000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 416594021/11415217766400], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 20207113/1426902220800], [[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 8507/4076863488], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 4438139693/34245653299200], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 2749/73728000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 27743/31708938240], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 23/2293760], [[[1, 11], [2, 2], [3, 1], [4, 2], [14, 1]], 19/1486356480], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 959549/118908518400], [[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 401/14269022208], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 166589/63417876480], [[[1, 11], [2, 2], [3, 1], [4, 3], [10, 1]], 451/4246732800], [[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 1783/1698693120], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 473717/1712282664960], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 13/645120], [[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 1/6451200], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 167/18432000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 493/10192158720], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 1/23224320], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 1/491520], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 1/6451200], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 145/6193152], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 21737/707788800], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 13591/71345111040], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 2820263/285380444160], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 1861/2202009600], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 661/283115520], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 23377/12230590464], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 283/199065600], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 737/88473600], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 73/55296000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 19/2903040], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 1/13271040], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 18637/398131200], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 73/79626240], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 1667/141557760], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 193/199065600], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 193/119439360], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 552653/107017666560], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 8729/298598400], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 1043/477757440], [[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 13/149299200], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 2083/191102976], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 319/25804800], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 19/14745600], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 43/4529848320], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 509/660602880], [[[1, 11], [2, 2], [4, 1], [8, 1], [14, 1]], 1/1981808640], [[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 1409/35672555520], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 1835/452984832], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 15613/49545216000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 509/707788800], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 169/495452160], [[[1, 11], [2, 2], [4, 2], [6, 2], [12, 1]], 1/7644119040], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 43/5662310400], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 341/11890851840], [[[1, 11], [2, 2], [4, 2], [10, 1], [12, 1]], 1/2123366400], [[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 25133/118908518400], [[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 14899/190253629440], [[[1, 11], [2, 2], [4, 3], [6, 1], [12, 1]], 43/5096079360], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/2419200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 50581/160526499840], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 6449/141557760], [[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 4447/2972712960], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 313889/2516582400], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 10187/2038431744], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 212801/4227858432], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 639857/89181388800], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 3690731/428070666240], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 7224277/342456532992], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 137549/22295347200], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 12113/707788800], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 10459/1238630400], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 8453/743178240], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 41/445906944], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 1931/2548039680], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 3923/66886041600], [[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 8993/14863564800], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 561041/4246732800], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 6647689/321052999680], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 18839417/380507258880], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 9637/825753600], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 4301/849346560], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 11319269/142690222080], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 23647/318504960], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 141863/10701766656], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 301/88473600], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 695843/6688604160], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 14719/8918138880], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 3962453/190253629440], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 18737/3538944000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 251/141557760], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 13273/2972712960], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 43/2972712960], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 41063/190253629440], [[[1, 11], [2, 4], [4, 1], [6, 2], [10, 1]], 43/4246732800], [[[1, 11], [2, 4], [4, 1], [6, 2], [12, 1]], 43/7644119040], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 198659/475634073600], [[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 671/3397386240], [[[1, 11], [2, 4], [4, 1], [10, 1], [12, 1]], 43/2123366400], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 4095941/356725555200], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1041143/317089382400], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 10411/33973862400], [[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 12827/42807066624], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 1609/928972800], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 727/1857945600], [[[1, 11], [2, 4], [6, 1], [8, 1], [10, 1]], 43/2123366400], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 728047993/7134511104000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 4097627/142690222080], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 62438639/1268357529600], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 2723419/118908518400], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 225533/61152952320], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 233936081/1902536294400], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 80175131/1783627776000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 1415443/114152177664], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 112783/19110297600], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 4202461283/25684239974400], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 40972873/1426902220800], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 11814353/1268357529600], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 425419/169869312000], [[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 16387/30576476160], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 354410017/4280706662400], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 1/10321920], [[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 1/11059200], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 73/88473600], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 73/24576000], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 181/6341787648], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 451/1486356480], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 59237/118908518400], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 22859/317089382400], [[[1, 12], [2, 1], [3, 1], [4, 3], [10, 1]], 19/4246732800], [[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 73/1698693120], [[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 283/114152177664], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 1/307200], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/2211840], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 2]], 1/3397386240], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 1/10321920], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 13/6193152], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 232277/178362777600], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 109247/285380444160], [[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 839/7644119040], [[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 12029/428070666240], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 47/88473600], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1/3870720], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 2047/398131200], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 31319/35672555520], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 13/199065600], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 13/119439360], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 2189/11890851840], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 73/33177600], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 13/238878720], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 161/955514880], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 19/25804800], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/14745600], [[[1, 12], [2, 1], [4, 1], [6, 1], [8, 2]], 1/4529848320], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 43/1981808640], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 1511/11324620800], [[[1, 12], [2, 1], [4, 2], [5, 1], [12, 1]], 43/2123366400], [[[1, 12], [2, 1], [4, 2], [8, 1], [10, 1]], 1/5662310400], [[[1, 12], [2, 1], [4, 2], [8, 1], [12, 1]], 1/1698693120], [[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1109/118908518400], [[[1, 12], [2, 1], [4, 3], [6, 1], [12, 1]], 1/5096079360], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 181/40131624960], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 12221/990904320], [[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 181/2972712960], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 828811/33973862400], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 67381/305764761600], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 26497/4227858432], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 4427/7340032000], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 2375/2038431744], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 1726603/1223059046400], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 67/149299200], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 539/141557760], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 8993/9289728000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 3649/2229534720], [[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 1/743178240], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 599/17836277760], [[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 1/1592524800], [[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 181/7431782400], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 37879/849346560], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 412609/321052999680], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 1093129/114152177664], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 6001/4954521600], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 943/849346560], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 1679789/214035333120], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 1149683/66886041600], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 12811/7644119040], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 12191/66886041600], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 192779/10701766656], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 869/11147673600], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 99413/31708938240], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 9239/24772608000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 41/141557760], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 157/424673280], [[[1, 12], [2, 3], [4, 1], [6, 1], [14, 1]], 1/2972712960], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 7853/1141521776640], [[[1, 12], [2, 3], [4, 1], [6, 2], [10, 1]], 1/4246732800], [[[1, 12], [2, 3], [4, 1], [6, 2], [12, 1]], 1/7644119040], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 121/7046430720], [[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 103/7927234560], [[[1, 12], [2, 3], [4, 1], [10, 1], [12, 1]], 1/2123366400], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 16883/14863564800], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 164789/951268147200], [[[1, 12], [2, 3], [4, 2], [6, 1], [10, 1]], 6571/1019215872000], [[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 3991/305764761600], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 2707/14863564800], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 43/2654208000], [[[1, 12], [2, 3], [6, 1], [8, 1], [10, 1]], 1/2123366400], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 381363373/7134511104000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 2558749/611529523200], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 20533523/1268357529600], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 82919/16986931200], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 84329/61152952320], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 112489061/4280706662400], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 17462911/1070176665600], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 403219/142690222080], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 100679/127401984000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 54130661/1027369598976], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 9608749/1426902220800], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 16637029/11415217766400], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 99511/396361728000], [[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 2239/30576476160], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 305637151/8561413324800], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 4447/2972712960], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 428237/237817036800], [[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 5647/2140353331200], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 1074587/2853804441600], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 4789/198180864000], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 233/3397386240], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 726413/17122826649600], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 181/16721510400], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 11231/29727129600], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 181/4644864000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 41/445906944], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 1/2548039680], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 148591/22295347200], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 181/6688604160], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 33683/38050725888], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 839/12740198400], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 839/7644119040], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 151793/535088332800], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 3427/1911029760], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 10217/107017666560], [[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 29/9555148800], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 189097/160526499840], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 773/3523215360], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 43/3538944000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 43/2123366400], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 43/2972712960], [[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 169/1141521776640], [[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 113/317089382400], [[[1, 13], [2, 2], [4, 1], [8, 1], [12, 1]], 1/3397386240], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 203/4246732800], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 113/29727129600], [[[1, 13], [2, 2], [4, 2], [6, 1], [10, 1]], 151/1019215872000], [[[1, 13], [2, 2], [4, 2], [6, 1], [12, 1]], 91/305764761600], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 43/4246732800], [[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 1/2654208000], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 11804731/713451110400], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 1187477/3669177139200], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 35312231/11415217766400], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 445463/792723456000], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 2981/10192158720], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 3278603/1070176665600], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 51829/15288238080], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 57617/152882380800], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 33197/594542592000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 40674419/4280706662400], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 6737/7962624000], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 1559473/11415217766400], [[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 3473/264241152000], [[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 1411/305764761600], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 129751609/12842119987200], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 181/7431782400], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 181/2972712960], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 324881/7134511104000], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 3791/407686348800], [[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 551/305764761600], [[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 9941/17122826649600], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 79/5945425920], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/743178240], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 14753/44590694400], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 227257/5707608883200], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 29/12740198400], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 29/7644119040], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1697/356725555200], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 181/2786918400], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 29/15288238080], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 227/20065812480], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 6703/951268147200], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/3538944000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/2123366400], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/2972712960], [[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 11/158544691200], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/4246732800], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 280261/101921587200], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 296741/25684239974400], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 147475/456608710656], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 79249/2378170368000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 337/10192158720], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 3005671/17122826649600], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 70549/191102976000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 241807/8561413324800], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 10279/5350883328000], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 231241/267544166400], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 50249/891813888000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 26087/3805072588800], [[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 677/2378170368000], [[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 31/305764761600], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 44995211/25684239974400], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 1566923/7134511104000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 23/171228266496], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 68053/3805072588800], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 551/509607936000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 551/305764761600], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 9961/2446118092800], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 100267/5350883328000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 9439/8561413324800], [[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 11/382205952000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 4469/135895449600], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 2951/1426902220800], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1577/11415217766400], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 71171/407686348800], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 46703/7134511104000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 169/326149079040], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 11/509607936000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 11/305764761600], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 13/570760888320], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 23/71345111040], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 11/611529523200], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 257/951268147200], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 59/1426902220800], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 311/33443020800], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 15901/68491306598400], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 29/13698261319680], [[[2, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/4608], [[[2, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/1280], [[[2, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/18432], [[[2, 3], [4, 1], [6, 2], [8, 2], [16, 1]], 1/36864], [[[2, 3], [4, 1], [8, 2], [10, 1], [16, 1]], 1/10240], [[[2, 3], [4, 1], [8, 2], [12, 1], [16, 1]], 1/12288], [[[2, 3], [4, 2], [6, 1], [8, 2], [12, 2]], 1/27648], [[[2, 3], [4, 2], [6, 1], [8, 2], [20, 1]], 1/7680], [[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/82944], [[[2, 3], [4, 3], [6, 2], [8, 1], [20, 1]], 1/23040], [[[2, 3], [4, 3], [8, 1], [10, 1], [12, 2]], 1/23040], [[[2, 3], [4, 3], [8, 1], [10, 1], [20, 1]], 1/6400], [[[2, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/7680], [[[2, 3], [4, 4], [6, 1], [8, 2], [10, 1]], 1/491520], [[[2, 3], [4, 4], [6, 1], [8, 2], [12, 1]], 7/442368], [[[2, 3], [4, 5], [6, 2], [8, 1], [12, 1]], 7/1327104], [[[2, 3], [4, 5], [8, 1], [10, 1], [12, 1]], 7/368640], [[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/36864], [[[2, 5], [4, 1], [6, 1], [8, 3], [10, 1]], 1/122880], [[[2, 5], [4, 2], [6, 1], [8, 2], [14, 1]], 1/86016], [[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/147456], [[[2, 5], [4, 2], [6, 2], [8, 2], [10, 1]], 1/147456], [[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/40960], [[[2, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/49152], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 2]], 1/153600], [[[2, 5], [4, 3], [6, 1], [8, 1], [12, 2]], 1/82944], [[[2, 5], [4, 3], [6, 1], [8, 1], [20, 1]], 1/23040], [[[2, 5], [4, 3], [6, 2], [8, 1], [14, 1]], 1/258048], [[[2, 5], [4, 3], [6, 3], [8, 1], [10, 1]], 1/552960], [[[2, 5], [4, 3], [6, 3], [8, 1], [12, 1]], 1/165888], [[[2, 5], [4, 3], [8, 1], [10, 1], [14, 1]], 1/71680], [[[2, 5], [4, 4], [6, 2], [10, 1], [12, 1]], 1/276480], [[[2, 5], [4, 5], [6, 1], [8, 1], [10, 1]], 1/589824], [[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 7/1327104], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/96768], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/207360], [[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/589824], [[[2, 7], [4, 2], [6, 1], [8, 2], [10, 1]], 37/5898240], [[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 1/57600], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/161280], [[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 1/103680], [[[2, 7], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048], [[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 1/163840], [[[2, 7], [4, 3], [6, 2], [8, 1], [12, 1]], 1/589824], [[[2, 7], [4, 3], [8, 1], [10, 1], [12, 1]], 1/1474560], [[[2, 7], [4, 4], [6, 1], [10, 1], [12, 1]], 1/276480], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 11/1843200], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 1/344064], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 37/6635520], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/860160], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/161280], [[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 1/368640], [[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 67/58982400], [[[2, 9], [4, 3], [6, 1], [8, 1], [12, 1]], 1/17694720], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 1/10321920], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 73/88473600], [[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11059200], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 181/7431782400], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/12288], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 3], [10, 1]], 1/61440], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 2], [16, 1]], 1/6912], [[[1, 1], [2, 2], [3, 1], [4, 2], [16, 1], [20, 1]], 1/1920], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 3/65536], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [12, 2]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [20, 1]], 1/15360], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [16, 1]], 1/27648], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 2]], 1/1179648], [[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [12, 1]], 7/884736], [[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 31/141557760], [[[1, 1], [2, 2], [3, 1], [8, 2], [10, 1], [16, 1]], 1/7680], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [16, 1]], 1/36864], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/10240], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [16, 1]], 7/12288], [[[1, 1], [2, 2], [4, 2], [5, 1], [6, 1], [8, 3]], 1/61440], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [12, 2]], 1/27648], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/12288], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [20, 1]], 1/7680], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 2], [16, 1]], 1/6912], [[[1, 1], [2, 2], [4, 2], [6, 1], [16, 1], [20, 1]], 1/1920], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 1], [12, 2]], 1/8064], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 1], [20, 1]], 1/2240], [[[1, 1], [2, 2], [4, 2], [8, 1], [12, 2], [14, 1]], 1/8064], [[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [20, 1]], 1/2240], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 1/82944], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [20, 1]], 1/23040], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [12, 2]], 1/23040], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [20, 1]], 1/6400], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/3072], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 1/2560], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [12, 2]], 1/55296], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [20, 1]], 1/15360], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [10, 1]], 1/491520], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [12, 1]], 7/442368], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [16, 1]], 1/27648], [[[1, 1], [2, 2], [4, 4], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 1], [2, 2], [4, 4], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 2], [4, 5], [6, 2], [8, 1], [12, 1]], 7/1327104], [[[1, 1], [2, 2], [4, 5], [8, 1], [10, 1], [12, 1]], 7/368640], [[[1, 1], [2, 2], [4, 6], [5, 1], [6, 1], [8, 1]], 1/11059200], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 1], [12, 1]], 7/884736], [[[1, 1], [2, 2], [5, 1], [6, 1], [8, 2], [16, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 3]], 5/73728], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 5/294912], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/49152], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 11/1769472], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [20, 1]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/147456], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 3/163840], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [12, 2]], 1/23040], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [20, 1]], 1/6400], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [20, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 77/4718592], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 1/55296], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [20, 1]], 1/15360], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [8, 1]], 1/1327104], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [12, 1]], 1/165888], [[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [8, 1]], 7/3538944], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 7/1990656], [[[1, 1], [2, 4], [3, 1], [4, 5], [10, 1], [12, 1]], 1/61440], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [8, 1]], 1/1310720], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [10, 1]], 1/5898240], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [12, 1]], 11/1769472], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [16, 1]], 1/12288], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 7/36864], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 1/122880], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [12, 1]], 1/18432], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/55296], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [12, 2]], 1/138240], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [20, 1]], 1/38400], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/86016], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/27648], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 7/147456], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [20, 1]], 1/7680], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/147456], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/55296], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [12, 2]], 1/46080], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 7/40960], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [20, 1]], 1/12800], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [16, 1]], 13/49152], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 1/15360], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 2]], 1/122880], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [12, 2]], 1/69120], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [20, 1]], 1/19200], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 2]], 1/153600], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 1/20736], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/147456], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [20, 1]], 1/5760], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 17/491520], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [20, 1]], 1/9600], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [20, 1]], 1/11520], [[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [14, 1]], 1/258048], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [10, 1]], 1/552960], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [12, 1]], 1/165888], [[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 1], [2, 4], [4, 4], [5, 1], [6, 2], [8, 1]], 1/737280], [[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [10, 1]], 1/204800], [[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [12, 1]], 1/552960], [[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [10, 1]], 1/245760], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [12, 1]], 1/18432], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 1], [12, 1]], 1/276480], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 5/36864], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [12, 1]], 1/276480], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 7/331776], [[[1, 1], [2, 4], [4, 5], [6, 1], [10, 1], [12, 1]], 7/552960], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 3]], 5/2359296], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 1/32768], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [8, 1]], 1/442368], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/62208], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 2]], 1/307200], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [12, 2]], 1/1105920], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [20, 1]], 1/307200], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 73/14155776], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 1/153600], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 59/995328], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [20, 1]], 1/55296], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 1/387072], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 11/884736], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 1/414720], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 11/497664], [[[1, 1], [2, 6], [3, 1], [4, 3], [10, 1], [14, 1]], 1/107520], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 1/344064], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [8, 1]], 19/7077888], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 1/221184], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [12, 1]], 1/165888], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [10, 1]], 13/5898240], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [12, 1]], 1/1966080], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 127/113246208], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [10, 1]], 13/8847360], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 71/15925248], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [16, 1]], 1/245760], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/73728], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 13/368640], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/207360], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/49152], [[[1, 1], [2, 6], [4, 1], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [8, 1]], 1/276480], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 19/307200], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [12, 2]], 1/221184], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 25/589824], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [20, 1]], 1/61440], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 529/5898240], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/55296], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 11/258048], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 7/276480], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [12, 1]], 1/82944], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/10240], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [10, 1]], 1/460800], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/107520], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 13/491520], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 31/1769472], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 11/276480], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 37/1474560], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [8, 1]], 1/737280], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 31/1179648], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 125/3538944], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 2]], 1/786432], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/110592], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/155520], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/8847360], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 2], [10, 1]], 1/1966080], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 13/15728640], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/184320], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/96768], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 5/1769472], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/61440], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 1/221184], [[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2064384], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 1/387072], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 131/35389440], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 11/2211840], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 5/884736], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 1], [12, 1]], 1/2211840], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [8, 1]], 53/94371840], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 11/14155776], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [12, 1]], 1/6635520], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 1/115200], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [10, 1]], 1/1474560], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 1/207360], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 31/368640], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 1/983040], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 17/1179648], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 23/1032192], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/16128], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 361/6635520], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 13/860160], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [8, 1]], 1/983040], [[[1, 1], [2, 8], [4, 2], [5, 1], [8, 1], [10, 1]], 1/2457600], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 7/294912], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 131/2949120], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [12, 1]], 1/294912], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 23/1105920], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 1], [12, 1]], 1/737280], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [10, 1]], 1/460800], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1207/58982400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 41/17694720], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 49/2211840], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 2]], 1/23592960], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/368640], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 1/516096], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 11/5898240], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 19/4976640], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/3870720], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 11/23592960], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 67/22118400], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 1/6635520], [[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 11/58982400], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1079/15854469120], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 43/88473600], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 7/106168320], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/322560], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 1/737280], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 1/614400], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 1/491520], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 41/1290240], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 1603/88473600], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 1/368640], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [8, 1]], 1/29491200], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 1/153600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [12, 1]], 1/8847360], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 7/3686400], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 1/15482880], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 13/220200960], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 47/132710400], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 11/792723456], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 401/5945425920], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1274019840], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 1/18432000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 521/594542592], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 19/63417876480], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 79/8918138880], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [12, 2]], 1/27648], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/12288], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [20, 1]], 1/7680], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 3], [10, 1]], 1/61440], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 2], [16, 1]], 1/6912], [[[1, 2], [2, 1], [3, 1], [4, 2], [16, 1], [20, 1]], 1/1920], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 3/65536], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [8, 2]], 1/491520], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [12, 2]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [20, 1]], 1/15360], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 2], [12, 1]], 7/442368], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [16, 1]], 1/27648], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 2]], 1/1179648], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [10, 1]], 1/11059200], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [12, 1]], 7/884736], [[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 31/141557760], [[[1, 2], [2, 1], [3, 1], [8, 2], [10, 1], [16, 1]], 1/7680], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [16, 1]], 1/36864], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 1/82944], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [20, 1]], 1/23040], [[[1, 2], [2, 1], [3, 2], [4, 5], [8, 1], [12, 1]], 7/1327104], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [16, 1]], 1/10240], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [16, 1]], 7/12288], [[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [8, 3]], 1/61440], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/12288], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 2], [16, 1]], 1/6912], [[[1, 2], [2, 1], [4, 2], [6, 1], [16, 1], [20, 1]], 1/1920], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [12, 2]], 1/8064], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [20, 1]], 1/2240], [[[1, 2], [2, 1], [4, 2], [8, 1], [12, 2], [14, 1]], 1/8064], [[[1, 2], [2, 1], [4, 2], [8, 1], [14, 1], [20, 1]], 1/2240], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [12, 2]], 1/23040], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [20, 1]], 1/6400], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/3072], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 1/2560], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [12, 2]], 1/55296], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [20, 1]], 1/15360], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [16, 1]], 1/27648], [[[1, 2], [2, 1], [4, 4], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 2], [2, 1], [4, 4], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 1], [12, 1]], 7/368640], [[[1, 2], [2, 1], [4, 6], [5, 1], [6, 1], [8, 1]], 1/11059200], [[[1, 2], [2, 1], [4, 6], [6, 1], [8, 1], [12, 1]], 7/884736], [[[1, 2], [2, 1], [5, 1], [6, 1], [8, 2], [16, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 3]], 31/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [10, 1]], 1/24576], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 143/589824], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/43008], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [12, 2]], 1/12096], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [20, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [14, 1]], 1/28672], [[[1, 2], [2, 3], [3, 1], [4, 2], [12, 2], [14, 1]], 1/12096], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [20, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 101/1769472], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 7/124416], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [20, 1]], 7/34560], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 37/147456], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [20, 1]], 1/2560], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 151/1474560], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 7/147456], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [12, 2]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [20, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [20, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 111/524288], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 11/165888], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 11/46080], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [8, 1]], 1/1327104], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [12, 1]], 1/165888], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [12, 1]], 1/48384], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [14, 1]], 1/172032], [[[1, 2], [2, 3], [3, 1], [4, 4], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [8, 1]], 1/393216], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 73/21233664], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 49/1990656], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [10, 1]], 7/1179648], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 25/294912], [[[1, 2], [2, 3], [3, 1], [4, 5], [10, 1], [12, 1]], 13/552960], [[[1, 2], [2, 3], [3, 1], [4, 6], [5, 1], [6, 1]], 1/16588800], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 3583/424673280], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [10, 1]], 61/265420800], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 127/5308416], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [16, 1]], 11/36864], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [8, 1], [14, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 3]], 1/442368], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 343/2654208], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/49152], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [10, 1]], 1/81920], [[[1, 2], [2, 3], [3, 2], [4, 2], [10, 1], [12, 2]], 1/25920], [[[1, 2], [2, 3], [3, 2], [4, 2], [10, 1], [20, 1]], 1/7200], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 5/98304], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 1/20736], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [20, 1]], 1/5760], [[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [14, 1]], 1/258048], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [8, 1]], 1/221184], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 19/995328], [[[1, 2], [2, 3], [3, 2], [4, 4], [10, 1], [12, 1]], 11/829440], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [8, 1]], 31/21233664], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [12, 1]], 7/331776], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [3, 2], [8, 1], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 3]], 1/24576], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/2048], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [12, 1]], 1/18432], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/55296], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [16, 1]], 1/2048], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [12, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 1/2048], [[[1, 2], [2, 3], [4, 1], [8, 2], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 2]], 1/81920], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [12, 2]], 1/25920], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [20, 1]], 1/7200], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [12, 2]], 7/138240], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [20, 1]], 7/38400], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 11/204800], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 1/28672], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [12, 2]], 1/12096], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [20, 1]], 1/3360], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 3], [4, 2], [6, 1], [12, 2], [14, 1]], 1/12096], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [20, 1]], 1/3360], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/27648], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 1/16384], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [20, 1]], 1/7680], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/55296], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 1/15360], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 7/40960], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [20, 1]], 3/12800], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 7/8192], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/15360], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 17/184320], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [12, 2]], 1/23040], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [20, 1]], 1/6400], [[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [14, 1]], 1/71680], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 37/147456], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 17/491520], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/8192], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [20, 1]], 1/9600], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 1/3840], [[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [8, 1]], 1/258048], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/71680], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [8, 1]], 1/737280], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [12, 1]], 11/829440], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [10, 1]], 1/204800], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 7/552960], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 1], [12, 1]], 1/76800], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [10, 1]], 1/245760], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 1/18432], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 3/20480], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [8, 1]], 7/1179648], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 7/1966080], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 89/884736], [[[1, 2], [2, 3], [4, 5], [6, 1], [10, 1], [12, 1]], 7/552960], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [5, 1], [8, 1], [10, 1], [16, 1]], 1/1280], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [6, 1], [8, 1], [14, 1], [16, 1]], 1/5376], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 427/7077888], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 11/110592], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 4]], 1/2488320], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/655360], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 2]], 1/192000], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [12, 2]], 1/207360], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [20, 1]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 85/294912], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 5/31104], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [20, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 23/1327104], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/207360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 49/746496], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/307200], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 163/3317760], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 29/589824], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [20, 1]], 43/921600], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 19/245760], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 1/73728], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [12, 2]], 1/51840], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [16, 1]], 1/10240], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [20, 1]], 1/14400], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [16, 1]], 1/18432], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 3]], 1/276480], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 2893/14155776], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/51200], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 323/995328], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [20, 1]], 53/276480], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 179/2654208], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 11/829440], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 31/248832], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [6, 2]], 1/884736], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 1/245760], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 1/829440], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 13/1032192], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 1259/21233664], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 163/13271040], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 19/248832], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 487/5898240], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 2287/53084160], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 47/414720], [[[1, 2], [2, 5], [3, 1], [4, 5], [5, 1], [6, 1]], 1/983040], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 17521/339738624], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 17/1769472], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 595/7962624], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [16, 1]], 1/92160], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [16, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 7/276480], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [16, 1]], 1/23040], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 1/12288], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 53/5308416], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 1/345600], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 19/124416], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [20, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 19/580608], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/36864], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 19/1244160], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 37/373248], [[[1, 2], [2, 5], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 1/64512], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 83/1769472], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 1/69120], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 11/82944], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 19/4423680], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 1/5308416], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 11/1179648], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [10, 1]], 23/6635520], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/41472], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [16, 1]], 1/55296], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 2], [10, 1]], 1/276480], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 13/245760], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [12, 1]], 1/92160], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [16, 1]], 1/5120], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 11/73728], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 13/368640], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [8, 1]], 1/96768], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 41/245760], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [16, 1]], 13/147456], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 13/491520], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [12, 2]], 1/103680], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [16, 1]], 1/30720], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [20, 1]], 1/28800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [14, 1]], 1/161280], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [8, 1]], 1/276480], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/345600], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [12, 1]], 1/103680], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/44800], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 19/307200], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 17/221184], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 19/98304], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 3/20480], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 187/983040], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 59/442368], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 1/69120], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [20, 1]], 1/19200], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [16, 1]], 1/18432], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [10, 1]], 1/161280], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 11/258048], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 7/276480], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/10240], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 29/1474560], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 1/460800], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 23/409600], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 17/1474560], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 5/86016], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 91/1474560], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 127/884736], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 11/276480], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 59/245760], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 1/40960], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 11/1843200], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [12, 1]], 23/829440], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 619/5898240], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 227/1179648], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 7/69120], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [16, 1]], 1/46080], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 11/76800], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 1/103680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 35/786432], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/6400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/9072], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 341/3981312], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/15552], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 1/62208], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 23/921600], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 43/8847360], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 13/1966080], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [12, 1]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 3]], 1/311040], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1651/47185920], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 77/921600], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 49/2488320], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 5/442368], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [20, 1]], 1/172800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/14336], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 509/5308416], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 121/1658880], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 463/5971968], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 13/2064384], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/15360], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [6, 2]], 1/276480], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 19/88473600], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/24192], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 5507/70778880], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 35/442368], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 229/2654208], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 217/11796480], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 11/5308416], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 1], [12, 1]], 13/2211840], [[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 37/35389440], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 9995/339738624], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 7327/212336640], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 1987/39813120], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/72000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/129600], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/115200], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [16, 1]], 1/276480], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 103/4423680], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 1/16128], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/8640], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 13/207360], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 13/5898240], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1/24192], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 85/1990656], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/25920], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [14, 1]], 1/3096576], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 1/145152], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 19/884736], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 37/1105920], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 55/1327104], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 157/70778880], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 1/221184], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1327104], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 1/110592], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 1/172800], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [14, 1]], 1/860160], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 13/76800], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 73/2949120], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 817/5898240], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [8, 1]], 1/344064], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 37/516096], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/16128], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 37/368640], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 1/165888], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 1/103680], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [10, 1]], 1/860160], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 17/143360], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 23/2949120], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 13/307200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [12, 1]], 1/368640], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 13/2457600], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [12, 1]], 1/368640], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 31/921600], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [10, 1]], 1/161280], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 229/2064384], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 3/35840], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 739/2949120], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 31/884736], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 37/552960], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 23/737280], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 581/58982400], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/115200], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 257/1474560], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 13/221184], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 229/2211840], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 1/368640], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 33/18350080], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 103/1843200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 5/73728], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 6379/159252480], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1211/9953280], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 1/221184], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 23/30965760], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 13/1290240], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [6, 2]], 29/33177600], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [10, 1]], 19/55296000], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 7/368640], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 577/23592960], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 2549/44236800], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 61/7962624], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 29/6553600], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/13271040], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 1], [12, 1]], 23/33177600], [[[1, 2], [2, 9], [3, 1], [4, 3], [5, 1], [6, 1]], 1/11059200], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 93647/15854469120], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 79/5529600], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 55/21233664], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1/460800], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1/516096], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 11/193536], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 67/2211840], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/774144], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 43/21233664], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 11/829440], [[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 19/53084160], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 17/35389440], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 217/132710400], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 13/39813120], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 7/3276800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 23/1843200], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 29/14745600], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [8, 1]], 1/10321920], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 67/2064384], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 197/1290240], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 167/1179648], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 1/589824], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 23/1105920], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1474560], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 7/9830400], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 577/36864000], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11059200], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 3467/29491200], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/327680], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 67/2211840], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 1/11059200], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 1/4246732800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 1/387072], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 4853/1698693120], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 2783/132710400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 1/6635520], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 10909/29727129600], [[[1, 2], [2, 11], [3, 1], [4, 2], [5, 1], [6, 1]], 91/3185049600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 37451/47563407360], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 120361/29727129600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 2803/26754416640], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/13824000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 67/44236800], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 341/11890851840], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/2654208], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 229/3303014400], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 7/6144000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 6851/471859200], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 1/17694720], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 7/3686400], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/2123366400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 125611/2853804441600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 25433/44590694400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1274019840], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 3]], 1/442368], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/2048], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [10, 1]], 1/24576], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 143/589824], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/43008], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [12, 2]], 1/12096], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [20, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 1/28672], [[[1, 3], [2, 2], [3, 1], [4, 2], [12, 2], [14, 1]], 1/12096], [[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [20, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 17/491520], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [20, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 5/98304], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 1/20736], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [20, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 37/147456], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [20, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [10, 1]], 17/184320], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/8192], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [12, 2]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [20, 1]], 1/6400], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 111/524288], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 11/165888], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 11/46080], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [8, 1]], 1/172032], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [12, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [4, 4], [12, 1], [14, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 7/1966080], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [12, 1]], 7/552960], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [8, 1]], 31/21233664], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [12, 1]], 7/331776], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [10, 1]], 7/1179648], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 89/884736], [[[1, 3], [2, 2], [3, 1], [4, 5], [10, 1], [12, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 6], [5, 1], [6, 1]], 61/265420800], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 3583/424673280], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [10, 1]], 1/16588800], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 127/5308416], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 11/36864], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [8, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 3]], 31/442368], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 343/2654208], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/27648], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 1/16384], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [20, 1]], 1/7680], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 1/81920], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 1/55296], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [12, 2]], 1/25920], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [20, 1]], 1/7200], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 101/1769472], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 7/124416], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [20, 1]], 7/34560], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [14, 1]], 1/258048], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [8, 1]], 1/245760], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 1/221184], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 19/995328], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [10, 1]], 1/737280], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 4], [10, 1], [12, 1]], 11/829440], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 73/21233664], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 49/1990656], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [3, 2], [8, 1], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/55296], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/49152], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [8, 1]], 1/1327104], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 3]], 1/24576], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 1/2048], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [12, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 1/2048], [[[1, 3], [2, 2], [4, 1], [8, 2], [12, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 1/81920], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [12, 2]], 1/25920], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [20, 1]], 1/7200], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 1/15360], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 7/40960], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 3/12800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 11/204800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 1/15360], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 2]], 1/28672], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [12, 2]], 1/12096], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [20, 1]], 1/3360], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 3], [2, 2], [4, 2], [6, 1], [12, 2], [14, 1]], 1/12096], [[[1, 3], [2, 2], [4, 2], [6, 1], [14, 1], [20, 1]], 1/3360], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/49152], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [12, 2]], 7/138240], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/40960], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [20, 1]], 7/38400], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 7/8192], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 151/1474560], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [12, 2]], 1/13824], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [20, 1]], 1/3840], [[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/71680], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/9216], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 37/147456], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [20, 1]], 1/2560], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 7/147456], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 1/3840], [[[1, 3], [2, 2], [4, 3], [6, 2], [7, 1], [8, 1]], 1/258048], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [10, 1]], 1/71680], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 2], [12, 1]], 11/829440], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [10, 1]], 1/204800], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 3/20480], [[[1, 3], [2, 2], [4, 4], [5, 1], [10, 1], [12, 1]], 1/76800], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/172032], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [14, 1]], 1/48384], [[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 7/552960], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [8, 1]], 7/1179648], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [12, 1]], 13/552960], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [10, 1]], 1/393216], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 25/294912], [[[1, 3], [2, 2], [5, 1], [6, 2], [8, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [5, 1], [8, 1], [10, 1], [16, 1]], 1/1280], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [6, 1], [8, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 737/3538944], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 11/110592], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 1/2488320], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 23/1966080], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/192000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [12, 2]], 7/207360], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [20, 1]], 7/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 7/12288], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1944], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 13/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [20, 1]], 1/3456], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 5/331776], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 37/746496], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/76800], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 49/331776], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 533/589824], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 13/92160], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 19/49152], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 5/24576], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [12, 2]], 1/12960], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [16, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [20, 1]], 1/3600], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [16, 1]], 5/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 1/165888], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 1/107520], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 9005/7077888], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/76800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 41/55296], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 5/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 11/15360], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 1/387072], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/64512], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 203/2654208], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 5/31104], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [10, 1]], 1/107520], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [12, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 43/258048], [[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/98304], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 37/1474560], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 7/1228800], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 7/829440], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/344064], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 13/1032192], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 2135/10616832], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 193/13271040], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 269/995328], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 169/983040], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 1975/5308416], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 151/829440], [[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 17/2211840], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 36395/169869312], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 131/8847360], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 451/1769472], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 1/46080], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4800], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [16, 1]], 7/92160], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [16, 1]], 1/1920], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [16, 1]], 5/27648], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/276480], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [16, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 53/147456], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 1/6144], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 17/221184], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 17/368640], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/207360], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1709/5308416], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/345600], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 7/13824], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [16, 1]], 1/4608], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [20, 1]], 1/3840], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 19/580608], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 257/1990656], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 19/1244160], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 151/373248], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 11/258048], [[[1, 3], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 7/552960], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/153600], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/55296], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1675/5308416], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/36864], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 187/331776], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 103/1474560], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 85/5308416], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 1], [12, 1]], 1/10240], [[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/147456], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1633/10616832], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 83/6635520], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 223/995328], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [16, 1]], 1/6144], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [10, 1]], 7/276480], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/96768], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 203/1990656], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/207360], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 19/62208], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/552960], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 19/884736], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [10, 1]], 1/414720], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 29/497664], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 17/368640], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [16, 1]], 1/11520], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 9/40960], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 33/102400], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [12, 1]], 7/92160], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 3/5120], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/14336], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 47/221184], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 1/96768], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 13/40960], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 25/73728], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 1], [12, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 11/32768], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/96000], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [12, 2]], 7/103680], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [16, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [20, 1]], 7/28800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [14, 1]], 1/161280], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/552960], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/345600], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [12, 1]], 1/103680], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/44800], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 19/110592], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 33/32768], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 7/30720], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 23/196608], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 5/16384], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/23040], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [20, 1]], 1/6400], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [16, 1]], 5/18432], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 11/258048], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [10, 1]], 1/161280], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 1/82944], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 5/21504], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 5/21504], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 1/107520], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 377/4423680], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/153600], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [12, 1]], 1/10240], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 7/49152], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 149/1474560], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 7/76800], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/107520], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 1/8064], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 5/32256], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 61/1474560], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 127/884736], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 5/16384], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 169/1474560], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 7/921600], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [12, 1]], 1/10368], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 17/163840], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 287/589824], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/10240], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [16, 1]], 7/46080], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 11/76800], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [16, 1]], 1/1920], [[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 1/51840], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 7/1966080], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 19/96000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 79/196608], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/6400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/145152], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/9072], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 59/442368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 77/1244160], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 49/746496], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 89/921600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 61/983040], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 79/983040], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 29/1105920], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [16, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 1/57600], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 271/4976640], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 21857/47185920], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 161/921600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 29/155520], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 95/442368], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [20, 1]], 59/691200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/96768], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 67/387072], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 643/1327104], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 251/1658880], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 917/2985984], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2064384], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 89/1032192], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 3/35840], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 19/442368], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 91/9830400], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 83/1843200], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 17/2211840], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 5/193536], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 21899/42467328], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1367/6635520], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2048], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 13127/35389440], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 761/5308416], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 157/1105920], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1169/70778880], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 671111/1698693120], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 7477/53084160], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 7573/19906560], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 1/1474560], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/72000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/10080], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [8, 1]], 1/103680], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 7/129600], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/38400], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [16, 1]], 59/1105920], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 101/2211840], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 7/103680], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/20736], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1723/35389440], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 7/172800], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 1/55296], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/32256], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 41/145152], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 773/1990656], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 31/155520], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/5832], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 13/3096576], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 1/51840], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2949120], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 5/41472], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 653/1769472], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 737/3317760], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 571/1327104], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 101/2949120], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 1/2654208], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 1], [12, 1]], 13/3317760], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/276480], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 2509/23592960], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 121/1327104], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 163/884736], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 1/8640], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 1/145152], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 11/331776], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 31/622080], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 1/13824], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 61/15925248], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 7/1658880], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 1/1990656], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [10, 1]], 1/207360], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 179/5898240], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 3/16000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [16, 1]], 1/46080], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/16128], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/20480], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 11/172800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [12, 1]], 1/103680], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/8960], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 13/860160], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 11/44800], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 7/96000], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/10240], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 289/1769472], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 71/327680], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 11/147456], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 1/30720], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 23/1032192], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 1/16128], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 29/516096], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 59/1105920], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 1/55296], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 13/860160], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [12, 1]], 1/64512], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 17/143360], [[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 1/64512], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 23/368640], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 73/921600], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 23/1105920], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 517/2457600], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 23/737280], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 163/921600], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 7/294912], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 173/1032192], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/15360], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 37/122880], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 59/442368], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 29/552960], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 17/92160], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 21563/176947200], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 29/368640], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 7/147456], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 197/368640], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 329/884736], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 221/1105920], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 19/115200], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 103/3317760], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 1/1290240], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 6359/165150720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 121/460800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 1/276480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 1/516096], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 115/387072], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 14599/53084160], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 769/1990656], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 277/5971968], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [10, 1]], 1/1290240], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 323/30965760], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 47/645120], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1981/66355200], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1310720], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 259/55296000], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/3870720], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 67/387072], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1153/3538944], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1181/2949120], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 4169/39813120], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 911/14745600], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 167/53084160], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 323/33177600], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 901/88473600], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 218669/1698693120], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 12107/66355200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 511/6635520], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/322560], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [8, 1]], 1/368640], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 3/51200], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 1/230400], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 1/322560], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 55/1548288], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 11/69120], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 157/1105920], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 1/245760], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 1/1843200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 151/4644864], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 6889/106168320], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 413/2211840], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 11/737280], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 313/53084160], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 1], [12, 1]], 1/3317760], [[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 19/33177600], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 2119/106168320], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 2009/44236800], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 367/39813120], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 1/691200], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 11/552960], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 43/53084160], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 11/4976640], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 41/1290240], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 271/9830400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 61/614400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [12, 1]], 1/368640], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 491/14745600], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 11/921600], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/491520], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 41/1290240], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 85/688128], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 17/92160], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 1103/3538944], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 1/65536], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 17/552960], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 17/1474560], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/49152], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 3437/36864000], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 7/3686400], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 1271/2359296], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 697/17694720], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 17/147456], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 13/460800], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 169/44236800], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 43/4246732800], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 11/12288000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1/15482880], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 115/3096576], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 178279/3963617280], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 25313/132710400], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 293/69672960], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 216037/29727129600], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 1/46448640], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 1/4147200], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 101971/89181388800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 936611/47563407360], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 11741/176947200], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 80047/26754416640], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [8, 1]], 1/11059200], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 77/27648000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 761/44236800], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/22118400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 391/264241152], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 1343/132710400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 31/278691840], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1999/1101004800], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 661/36864000], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11059200], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 28567/283115520], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 53/41287680], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 13/1105920], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 571/7431782400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 206347/158544691200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 463199/44590694400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1471/26754416640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/122880], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 7/36864], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 3], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 5/294912], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/86016], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 17/491520], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [12, 2]], 1/34560], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [20, 1]], 1/9600], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 1/153600], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 1/20736], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/147456], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 1/5760], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 1/122880], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/12288], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [12, 2]], 1/69120], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [20, 1]], 1/19200], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 77/4718592], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 1/55296], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [20, 1]], 1/15360], [[[1, 4], [2, 1], [3, 1], [4, 4], [7, 1], [8, 1]], 1/172032], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 1/368640], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [12, 1]], 7/552960], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 7/331776], [[[1, 4], [2, 1], [3, 1], [4, 5], [10, 1], [12, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 6], [5, 1], [6, 1]], 1/5898240], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 1/1310720], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [12, 1]], 11/1769472], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [16, 1]], 1/12288], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 3]], 5/73728], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/147456], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/27648], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 7/147456], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [20, 1]], 1/7680], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/55296], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 11/1769472], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/124416], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [20, 1]], 1/34560], [[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [8, 1]], 1/245760], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [10, 1]], 1/737280], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 7/3538944], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 7/1990656], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/55296], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/49152], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [8, 1]], 1/552960], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 1], [12, 1]], 1/165888], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [8, 1]], 1/1327104], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/46080], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 7/40960], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [20, 1]], 1/12800], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/15360], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/138240], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/38400], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 13/49152], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 3/163840], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [12, 2]], 1/23040], [[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [20, 1]], 1/6400], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/147456], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/11520], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [10, 1]], 1/204800], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 5/36864], [[[1, 4], [2, 1], [4, 4], [6, 1], [7, 1], [8, 1]], 1/172032], [[[1, 4], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/552960], [[[1, 4], [2, 1], [4, 5], [5, 1], [6, 1], [12, 1]], 1/61440], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 737/3538944], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 23/196608], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [20, 1]], 1/6400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/345600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 1/96000], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1709/5308416], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 7/13824], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 1/4608], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [20, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/96768], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/76800], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 19/110592], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 33/32768], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 7/30720], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 11/32768], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 5/16384], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [12, 2]], 7/103680], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [16, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [20, 1]], 7/28800], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [16, 1]], 5/18432], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 3]], 1/414720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/76800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 9005/7077888], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 41/55296], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 5/18432], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 11/15360], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/55296], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 19/884736], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 29/497664], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 5/32256], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [10, 1]], 1/107520], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 83/6635520], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 17/163840], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 7/921600], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 13/1032192], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/344064], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1633/10616832], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/147456], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 223/995328], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 169/1474560], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 287/589824], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 1/10368], [[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 131/8847360], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 36395/169869312], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 17/2211840], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 451/1769472], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 7/276480], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4800], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 11/76800], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [16, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 1/6144], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [16, 1]], 7/46080], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 53/147456], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 1/6144], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 47/221184], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 17/368640], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [16, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/207360], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [14, 1]], 1/161280], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 7/12288], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1944], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 13/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [20, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 19/580608], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 203/1990656], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 19/62208], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [10, 1]], 1/161280], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 11/258048], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/36864], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 61/1474560], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/153600], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/64512], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/387072], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1675/5308416], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 7/552960], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 187/331776], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 377/4423680], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 127/884736], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 1/10240], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 193/13271040], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 2135/10616832], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/98304], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 269/995328], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/276480], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 5/27648], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 11/110592], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 1/96768], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 19/1244160], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/345600], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/96768], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 257/1990656], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 1/207360], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 151/373248], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/552960], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 2], [10, 1], [12, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 1/92160], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 203/2654208], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [10, 1]], 1/165888], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 5/31104], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 5/331776], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 1/2488320], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 37/746496], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 17/368640], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [16, 1]], 1/11520], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 13/40960], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 33/102400], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/10240], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 3/5120], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 17/221184], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 9/40960], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 25/73728], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 1], [12, 1]], 7/92160], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 19/49152], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 1/12960], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [16, 1]], 1/6144], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [20, 1]], 1/3600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/552960], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/44800], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/10240], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/192000], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 49/331776], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 533/589824], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 13/92160], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 23/1966080], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 5/24576], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 7/207360], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [20, 1]], 7/57600], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [16, 1]], 5/18432], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 11/258048], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 5/21504], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 5/21504], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 103/1474560], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/153600], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 1/10240], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 7/49152], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 5/16384], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 7/76800], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 43/258048], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/107520], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/8064], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/9216], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 85/5308416], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 149/1474560], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 169/983040], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 7/1228800], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 151/829440], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 37/1474560], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 1975/5308416], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 7/829440], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [16, 1]], 1/5760], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [16, 1]], 1/1920], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [16, 1]], 7/92160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 59/1966080], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 29/96000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 7/92160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/28800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 1/1843200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 691/1179648], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 11/27648], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/9072], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 79/1327104], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/248832], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 37/746496], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 29/307200], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 141/327680], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 917/2949120], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 35/442368], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/57600], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 199/1658880], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/86400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 160073/84934656], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 299/2764800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 241/497664], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 29/36864], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [20, 1]], 43/138240], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 17/129024], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 53/290304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 233/442368], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 499/4976640], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1349/2985984], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 589/2064384], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 1/16128], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 461/1032192], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 121/737280], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 4277/35389440], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 21/204800], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 25/442368], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 43/387072], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 3/14336], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 8989/7077888], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1301/6635520], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1409/1327104], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 12581/17694720], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 6215/10616832], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 361/1105920], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 4145/42467328], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 112193/84934656], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 20093/106168320], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 913/884736], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 35/884736], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/6000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/25920], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 7/129600], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/2800], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/6000], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/38400], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 55/221184], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 137/2211840], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 1/96768], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/103680], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/6480], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1937/7077888], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 13/172800], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 7/18432], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 13/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 25/72576], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 473/663552], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 59/311040], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 29/46656], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/3096576], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 29/516096], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 203/1105920], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 13/2949120], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 241/2764800], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 1/3317760], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 5/72576], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 13/55296], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 8351/5308416], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1171/3317760], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 343/221184], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 319/983040], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 149/2654208], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 1/12288], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 5/73728], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 9901/10616832], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1403/6635520], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 247/294912], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/60480], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/9216], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/16200], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/60480], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/13824], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 19/138240], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/34560], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 1/6635520], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/9072], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 797/1990656], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 97/622080], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 65/124416], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 37/1658880], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 7/1244160], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 2215/15925248], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 121/1658880], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1303/5971968], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/129600], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 7/207360], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 11/3981312], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 35/131072], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 3/16000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [16, 1]], 7/46080], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/16128], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 103/1658880], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 11/172800], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [12, 1]], 1/103680], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/860160], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 3/8960], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 17/143360], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 3/6400], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 7/307200], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 17/96000], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 13/1843200], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 907/1769472], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 39/327680], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 1/8192], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/10240], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 37/516096], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/16128], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 13/3096576], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 13/6635520], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 17/143360], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 13/860160], [[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 1/9216], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 3/35840], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 17/49152], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 343/2764800], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 53/552960], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 2077/2457600], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 31/245760], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 67/153600], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 115/294912], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 3/35840], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 377/1032192], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 73/737280], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 209/1327104], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 13/3317760], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 31/122880], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 185/393216], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 239/1843200], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 35/147456], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1159/2359296], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 8063/10616832], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 37/221184], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2800], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 19/115200], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/6144], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 13/1290240], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/921600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 7561/23592960], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 347/921600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 13/138240], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 5/73728], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 101/258048], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 19531/31850496], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 2083/4976640], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 107/746496], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 23/30965760], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 13/1290240], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 389/6193152], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 17/92160], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 9197/44236800], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 347/11796480], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 371/2457600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 143/33177600], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 3/40960], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 2321/4644864], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 2657/1966080], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1217/1474560], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1267/2654208], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 13157/29491200], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 3811/53084160], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 97/1327104], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1501/14745600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 592451/566231040], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 6599/10616832], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 289/552960], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 11/193536], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 13/276480], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 47/172800], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 7/115200], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 11/193536], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 11/110592], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 11/69120], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 47/221184], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 599/6635520], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 227/265420800], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 13/1843200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 1/774144], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 127/663552], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 58519/106168320], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 4619/6635520], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1399/6635520], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 941/17694720], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 89/26542080], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 1], [12, 1]], 13/3317760], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1159/44236800], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 5587/21233664], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 59/165888], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 707/4423680], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 259/4147200], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 91/1105920], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1105920], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 3331/159252480], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 493/9953280], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 131/9953280], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 197/1290240], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 19/131072], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 571/1843200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [12, 1]], 23/1105920], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 3301/14745600], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 11/884736], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 103/921600], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 67/2064384], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 197/1290240], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 905/6193152], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 47/645120], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 4787/17694720], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 35/884736], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 1/61440], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 11/245760], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 433/1966080], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1003/2764800], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 83/2211840], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 691/786432], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 2107/10616832], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 977/6635520], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 97/460800], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 2401/44236800], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 4477/4954521600], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 67/4096000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1/387072], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 383/2211840], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 843473/2972712960], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 79747/132710400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 4723/139345920], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 54077/1061683200], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 1/1290240], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1/259200], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 88933/3303014400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 82639/396361728], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 431993/1061683200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 398387/8918138880], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 119/44236800], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1099/27648000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 3541/44236800], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 19/8294400], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 32209/1189085184], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 4039/44236800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 191/55738368], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1579/70778880], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 4591/36864000], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [12, 1]], 7/3686400], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 32801/117964800], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 191/20643840], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 29/1105920], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 31741/14863564800], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 1529413/95126814720], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1727227/22295347200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 3901/3822059520], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 427/7077888], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 187/983040], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/69120], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [20, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/345600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 19/307200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/96000], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 53/5308416], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 19/124416], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [20, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 17/221184], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 19/98304], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 3/20480], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 13/491520], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 59/442368], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [12, 2]], 1/103680], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [16, 1]], 1/30720], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [20, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [16, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/107520], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/51200], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 2893/14155776], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 323/995328], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [20, 1]], 53/276480], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/64512], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 5/86016], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 1/258048], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2]], 23/6635520], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 619/5898240], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 11/1843200], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 7/69120], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 13/1032192], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 11/1179648], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/41472], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 1/40960], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 227/1179648], [[[1, 5], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 23/829440], [[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 17/1769472], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 17521/339738624], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [10, 1]], 1/983040], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 595/7962624], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 2]], 1/276480], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 11/76800], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 1], [8, 1], [10, 1], [16, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 13/368640], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/12288], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 11/73728], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 85/294912], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 5/31104], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/55296], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [20, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 19/580608], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 11/258048], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/161280], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 91/1474560], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/460800], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 11/276480], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/55296], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 83/1769472], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 11/82944], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 29/1474560], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 127/884736], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 163/13271040], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 1259/21233664], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 1/884736], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 19/248832], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 7/276480], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [16, 1]], 1/27648], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 11/110592], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [14, 1]], 1/96768], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 19/1244160], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 7/276480], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/345600], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/36864], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 37/373248], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 1/41472], [[[1, 5], [2, 2], [3, 3], [4, 2], [10, 1], [12, 1]], 1/103680], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 11/829440], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 179/2654208], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 31/248832], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 23/1327104], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1]], 1/2488320], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 49/746496], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 41/245760], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/30720], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/5120], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 13/245760], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 13/147456], [[[1, 5], [2, 2], [4, 1], [8, 2], [10, 1], [12, 1]], 1/92160], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 19/245760], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/51840], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [16, 1]], 1/10240], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [20, 1]], 1/14400], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/10240], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/44800], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1]], 1/192000], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 163/3317760], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 29/589824], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 43/921600], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/655360], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 1/73728], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/207360], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [20, 1]], 1/57600], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [16, 1]], 1/18432], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/107520], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 19/4423680], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 23/409600], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 59/245760], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 1/5308416], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 17/1474560], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 487/5898240], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/245760], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 47/414720], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 2287/53084160], [[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/829440], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [16, 1]], 1/23040], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/92160], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 39/327680], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 17/96000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/10240], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 13/172800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 13/1843200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 3/16000], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1937/7077888], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 7/18432], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/9072], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 11/3981312], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 7/307200], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 907/1769472], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 35/131072], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 1/8192], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 7/46080], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 121/1658880], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 3/35840], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 299/2764800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 160073/84934656], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/86400], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 241/497664], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 29/36864], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [20, 1]], 43/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 13/55296], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 5/72576], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 2215/15925248], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 7/1244160], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1303/5971968], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 377/1032192], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 3/35840], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 115/294912], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1403/6635520], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1159/2359296], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 239/1843200], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 37/221184], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 3/14336], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 43/387072], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 9901/10616832], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 5/73728], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 247/294912], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 185/393216], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 8063/10616832], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 35/147456], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 20093/106168320], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 112193/84934656], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 4145/42467328], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 913/884736], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 137/2211840], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/6000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/10080], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/60480], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 7/207360], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/129600], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/2800], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/38400], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/6000], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 55/221184], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 35/884736], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/60480], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 97/622080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 691/1179648], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 11/27648], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 25/72576], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 13/96768], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 797/1990656], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 65/124416], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 13/3096576], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/16128], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 37/516096], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1171/3317760], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 73/737280], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 343/2764800], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 13/3317760], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 53/290304], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 17/129024], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 8351/5308416], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 203/1105920], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 343/221184], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 17/49152], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 209/1327104], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 53/552960], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1301/6635520], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 8989/7077888], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 121/737280], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1409/1327104], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 19/138240], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/16200], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 19/115200], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/96768], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/9216], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 59/311040], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 13/6635520], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 11/172800], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/9072], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 473/663552], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/6480], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 29/46656], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 103/1658880], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 1/82944], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 1], [12, 1]], 1/103680], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 499/4976640], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 233/442368], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 199/1658880], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1349/2985984], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/103680], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 7/129600], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/248832], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 79/1327104], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/103680], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 37/746496], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 917/2949120], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 1/5760], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/16128], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 37/1658880], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 13/860160], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 3/6400], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 17/143360], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 3/8960], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 29/307200], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 29/96000], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/1843200], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 141/327680], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 59/1966080], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 35/442368], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 7/92160], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 29/516096], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/3096576], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 1/6635520], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 17/143360], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 1/860160], [[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/9216], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 319/983040], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 241/2764800], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/12288], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 2077/2457600], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 31/122880], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 67/153600], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 461/1032192], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 589/2064384], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 13/2949120], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 149/2654208], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 31/245760], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 12581/17694720], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 21/204800], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 361/1105920], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 4277/35389440], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 6215/10616832], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 25/442368], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2800], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 193/552960], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/1290240], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 47/645120], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 221/5529600], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 30971/35389440], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1139/5529600], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 47/110592], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 163/387072], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 1465/4644864], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 16387/31850496], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 43/248832], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 473/2985984], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 3683/30965760], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 47/645120], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 1577/6193152], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 197/1290240], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 16661/26542080], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 593/2457600], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 3877/7372800], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 1163/33177600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 71/193536], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 2969/4644864], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 10789/4718592], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 4543/6635520], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 2527/2654208], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 12409/11796480], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 3617/13271040], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 1289/6635520], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 55267/132710400], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 10113949/3397386240], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 41281/53084160], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 13855/10616832], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 11/69120], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 181/1105920], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 77/138240], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 17/92160], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 103/1548288], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 11/69120], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 101/774144], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 11/193536], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 299/2211840], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1679/3317760], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 3377/265420800], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 349/1843200], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 1/3317760], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 727/4644864], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 19/36864], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 32741/21233664], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 3127/3317760], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1403/1990656], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 4159/17694720], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 31/1769472], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 1], [12, 1]], 1/61440], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 30631/132710400], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 314369/212336640], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 673/884736], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 9593/13271040], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 83/2211840], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1669/4147200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 101/552960], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 47/1990656], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 8399/53084160], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 869/3317760], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 415/5971968], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 41/1290240], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 17/92160], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 5431/17694720], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 149/368640], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [12, 1]], 17/552960], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 2087/2949120], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 247/4423680], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 5/18432], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 479/2064384], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 17/92160], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1061/6193152], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 13/1290240], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1681/17694720], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 107/2654208], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 13/3317760], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 173/2211840], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 3397/3932160], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1837/2764800], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 367/2211840], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 19571/29491200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 971/2654208], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 121/1327104], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 143/460800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 13333/44236800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 5141/247726080], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 4429/36864000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 1/4147200], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 187/3096576], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 3497/9289728], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 9397/11796480], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 517/589824], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 509/4423680], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 215081/1061683200], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 103/13271040], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 107/6635520], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 219269/1061683200], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 12137599/11890851840], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 740551/707788800], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 221639/891813888], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1279/44236800], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 6329/27648000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 1567/8847360], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 5953/132710400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 86243/424673280], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 54289/132710400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 191/4976640], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 46843/353894400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 2819/7372800], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [12, 1]], 13/1105920], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 67043/176947200], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 731/26542080], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 191/6635520], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 126841/4954521600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 57101369/570760888320], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 596183/2123366400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 10661/1274019840], [[[1, 5], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 5/2359296], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 529/5898240], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 19/307200], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 1/57600], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 1/221184], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 25/589824], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [20, 1]], 1/61440], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/55296], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/107520], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/153600], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 73/14155776], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 59/995328], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [20, 1]], 1/55296], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 31/1179648], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [12, 1]], 1/69120], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/344064], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [10, 1]], 1/737280], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 125/3538944], [[[1, 6], [2, 1], [3, 1], [4, 5], [5, 1], [6, 1]], 13/8847360], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 127/113246208], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 71/15925248], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 13/368640], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/57600], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/73728], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/161280], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/32768], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 11/258048], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 13/491520], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [10, 1]], 1/460800], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 11/276480], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/387072], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 31/1769472], [[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/221184], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 19/7077888], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [12, 1]], 1/165888], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/96768], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 7/276480], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 1/103680], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [10, 1]], 1/276480], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [12, 1]], 1/82944], [[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/414720], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 11/884736], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 11/497664], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/207360], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/207360], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 1/442368], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/62208], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/49152], [[[1, 6], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/245760], [[[1, 6], [2, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/10240], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/1105920], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/307200], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/107520], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 37/1474560], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 13/5898240], [[[1, 6], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1966080], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 71/327680], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 7/96000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 7/172800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/10240], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 3/16000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1723/35389440], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 1/145152], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 289/1769472], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 179/5898240], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 11/147456], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 1/46080], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 7/1658880], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/15360], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 161/921600], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 21857/47185920], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 29/155520], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 95/442368], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [20, 1]], 59/691200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 5/41472], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 61/15925248], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 1/1990656], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 173/1032192], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 7/294912], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 121/1327104], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 197/368640], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 29/368640], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 221/1105920], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/6144], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 5/193536], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 2509/23592960], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/276480], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 163/884736], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 21563/176947200], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 329/884736], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 7/147456], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 7477/53084160], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 671111/1698693120], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1169/70778880], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 7573/19906560], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 101/2211840], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1]], 1/207360], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 1/16800], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/38400], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/72000], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 59/1105920], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 1/1474560], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 31/622080], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 1/16128], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/6400], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 79/196608], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 41/145152], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/32256], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 11/331776], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 1/13824], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 29/516096], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/16128], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 23/1032192], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 737/3317760], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 37/122880], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 73/921600], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 29/552960], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 67/387072], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/96768], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 653/1769472], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 1/51840], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 571/1327104], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 23/368640], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 59/442368], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 23/1105920], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1367/6635520], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 21899/42467328], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 19/442368], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2048], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/60480], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/15360], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/21600], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 19/115200], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/13824], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 31/155520], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 59/1105920], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 11/172800], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/9072], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 773/1990656], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/20736], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/5832], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/20480], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 1/55296], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 1], [12, 1]], 1/103680], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 251/1658880], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 643/1327104], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 271/4976640], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 917/2985984], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 7/103680], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 7/129600], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1]], 1/103680], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 77/1244160], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 59/442368], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 1/51840], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 49/746496], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 79/983040], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/23040], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/16128], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 17/143360], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 11/44800], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 13/860160], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/8960], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 89/921600], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 19/96000], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 61/983040], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 7/1966080], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 29/1105920], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 13/3096576], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 13/860160], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 1/64512], [[[1, 6], [2, 3], [4, 1], [8, 1], [12, 1], [14, 1]], 1/64512], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 3/35840], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 101/2949120], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 13/3317760], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 517/2457600], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 17/92160], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 163/921600], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 89/1032192], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2064384], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2949120], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2654208], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 23/737280], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 13127/35389440], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 83/1843200], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 157/1105920], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 91/9830400], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 761/5308416], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 17/2211840], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 869/3317760], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 13/1290240], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 17/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1139/5529600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 30971/35389440], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 221/5529600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 47/110592], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 19/36864], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 727/4644864], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 8399/53084160], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 47/1990656], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 415/5971968], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1061/6193152], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 17/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 479/2064384], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 41/1290240], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 673/884736], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 19571/29491200], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 1837/2764800], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 121/1327104], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 2969/4644864], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 71/193536], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 314369/212336640], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 30631/132710400], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 9593/13271040], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 3397/3932160], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 971/2654208], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 367/2211840], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 41281/53084160], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 10113949/3397386240], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 55267/132710400], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 13855/10616832], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 11/193536], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 11/69120], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 101/552960], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1669/4147200], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 143/460800], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 101/774144], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 11/69120], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 103/1548288], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 1/322560], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 83/2211840], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 3127/3317760], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1681/17694720], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 149/368640], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 13/3317760], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 1465/4644864], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 163/387072], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 32741/21233664], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1679/3317760], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1403/1990656], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 5431/17694720], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 107/2654208], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 1], [12, 1]], 17/552960], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 4543/6635520], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 10789/4718592], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 16661/26542080], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 2527/2654208], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 299/2211840], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 77/138240], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 181/1105920], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 43/248832], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 16387/31850496], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 193/552960], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 473/2985984], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 197/1290240], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 47/645120], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 4159/17694720], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 349/1843200], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [12, 1]], 1/61440], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 2087/2949120], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 173/2211840], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 5/18432], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 1577/6193152], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 47/645120], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 3683/30965760], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 3377/265420800], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 31/1769472], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 247/4423680], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 12409/11796480], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 3877/7372800], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 1289/6635520], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 593/2457600], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 3617/13271040], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1163/33177600], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 17/92160], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 100441/132710400], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 270847/2123366400], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 16519/36864000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 1/259200], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 4721/15482880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 4505/9289728], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 938531/849346560], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 88927/132710400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 787/4423680], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 294911/707788800], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 1427/53084160], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 191/6635520], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 85711/117964800], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 8207779/3397386240], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 2649169/2123366400], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 126481/212336640], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 5099/44236800], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 9811/16588800], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 119/589824], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 11809/44236800], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 123565/169869312], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 22123/26542080], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 2543/19906560], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 261823/707788800], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1519/2457600], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 29/1105920], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 628009/2123366400], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 697/17694720], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 107/6635520], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 2146663/14863564800], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 329785067/951268147200], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 198833/353894400], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 149659/4459069440], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 817/5898240], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 13/76800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 1/96000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 13/5898240], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 73/2949120], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/147456], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 3/35840], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [14, 1]], 1/161280], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 77/921600], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1651/47185920], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 49/2488320], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 5/442368], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [20, 1]], 1/172800], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 1/145152], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 229/2064384], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/161280], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/221184], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 257/1474560], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/115200], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 229/2211840], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/24192], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 157/70778880], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1327104], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 581/58982400], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 13/221184], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 7327/212336640], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 9995/339738624], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 37/35389440], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 1987/39813120], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 103/4423680], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/16800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/72000], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [16, 1]], 1/276480], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/16128], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/6400], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 35/786432], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/24192], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 37/516096], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [14, 1]], 1/344064], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 37/1105920], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 739/2949120], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 13/307200], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 37/552960], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/14336], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 19/884736], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 55/1327104], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 23/2949120], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 31/884736], [[[1, 7], [2, 2], [3, 2], [4, 2], [10, 1], [12, 1]], 1/368640], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 35/442368], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 5507/70778880], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1]], 1/276480], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 229/2654208], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/8640], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/25920], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 37/368640], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 1/172800], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/103680], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/9072], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 85/1990656], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/110592], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 1/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 121/1658880], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 509/5308416], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1]], 1/311040], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 463/5971968], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 13/207360], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/129600], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/15552], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 341/3981312], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 1/103680], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 1/62208], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 13/1966080], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 17/143360], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [14, 1]], 1/860160], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 23/921600], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 43/8847360], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/737280], [[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/3096576], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/860160], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/15360], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/3317760], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 13/2457600], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 23/737280], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 31/921600], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 13/2064384], [[[1, 7], [2, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/368640], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 217/11796480], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 13/2211840], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 19/88473600], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 11/5308416], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 493/9953280], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 47/645120], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 197/1290240], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 347/921600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 7561/23592960], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/921600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 13/138240], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 127/663552], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 1/774144], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 3331/159252480], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1105920], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 131/9953280], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 905/6193152], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 197/1290240], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 67/2064384], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 59/165888], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 691/786432], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1003/2764800], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 977/6635520], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 2321/4644864], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 3/40960], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 5587/21233664], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1159/44236800], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 707/4423680], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 433/1966080], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 2107/10616832], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 83/2211840], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 6599/10616832], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 592451/566231040], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1501/14745600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 289/552960], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 11/69120], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 11/193536], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 91/1105920], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 259/4147200], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 97/460800], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 11/110592], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 11/193536], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/516096], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/552960], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 4619/6635520], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 4787/17694720], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 571/1843200], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 1/61440], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 101/258048], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 5/73728], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 58519/106168320], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 599/6635520], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1399/6635520], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 19/131072], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 35/884736], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1]], 23/1105920], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 1217/1474560], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 2657/1966080], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 9197/44236800], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 1267/2654208], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 47/221184], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 47/172800], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 13/276480], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 2083/4976640], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 19531/31850496], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/6144], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 107/746496], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 17/92160], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 13/1290240], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 941/17694720], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 13/1843200], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1]], 13/3317760], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 3301/14745600], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 11/245760], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 103/921600], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 389/6193152], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 13/1290240], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 23/30965760], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 227/265420800], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 89/26542080], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 11/884736], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 13157/29491200], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 371/2457600], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 97/1327104], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 347/11796480], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 3811/53084160], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 143/33177600], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 7/115200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 22123/26542080], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 628009/2123366400], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 1519/2457600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 107/6635520], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 4505/9289728], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 4721/15482880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 123565/169869312], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 11809/44236800], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 2543/19906560], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 261823/707788800], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 697/17694720], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 29/1105920], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 2649169/2123366400], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 8207779/3397386240], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 85711/117964800], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 126481/212336640], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 119/589824], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 9811/16588800], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 5099/44236800], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 88927/132710400], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 938531/849346560], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 100441/132710400], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 787/4423680], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 294911/707788800], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 16519/36864000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 191/6635520], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 270847/2123366400], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 1427/53084160], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 1/259200], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 27929/66355200], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 23174269/33973862400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 229583/353894400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 42367/637009920], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 17/1179648], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 31/368640], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/96000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/983040], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 1/40320], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/184320], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 13/15728640], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 7/294912], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1207/58982400], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1]], 1/460800], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 49/2211840], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/387072], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 41/17694720], [[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 11/14155776], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 53/94371840], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [12, 1]], 1/6635520], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 1/1474560], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/16128], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2]], 1/786432], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 23/1032192], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 131/2949120], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 23/1105920], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [10, 1]], 1/983040], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [12, 1]], 1/294912], [[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 11/2211840], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 131/35389440], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 5/884736], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 361/6635520], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 1/172800], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 1/103680], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/61440], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 5/1769472], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/221184], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 1/207360], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/155520], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/110592], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1966080], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 13/860160], [[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/8847360], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/2457600], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/737280], [[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2064384], [[[1, 8], [2, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2211840], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 11/4976640], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 17/92160], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 41/1290240], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 121/460800], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 6359/165150720], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 1/276480], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 151/4644864], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 43/53084160], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1/1658880], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 85/688128], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 41/1290240], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/491520], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 2009/44236800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1271/2359296], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 3437/36864000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 17/147456], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 67/387072], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/3870720], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 2119/106168320], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 19/33177600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 367/39813120], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/49152], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 697/17694720], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 7/3686400], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 12107/66355200], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 218669/1698693120], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 901/88473600], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 511/6635520], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 11/69120], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 1/322560], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 11/552960], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 1/691200], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 13/460800], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 55/1548288], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/322560], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 413/2211840], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 1103/3538944], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 61/614400], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 17/552960], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 115/387072], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 1/516096], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 6889/106168320], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/245760], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 11/737280], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 271/9830400], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/65536], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1]], 1/368640], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1181/2949120], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1153/3538944], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1981/66355200], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 4169/39813120], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 157/1105920], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 3/51200], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 769/1990656], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 14599/53084160], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 103/3317760], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 277/5971968], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 47/645120], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1]], 1/1290240], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 313/53084160], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1843200], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3317760], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 491/14745600], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 17/1474560], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 11/921600], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 323/30965760], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/1290240], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6635520], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 911/14745600], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 259/55296000], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 323/33177600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1310720], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 167/53084160], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/230400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 54289/132710400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 67043/176947200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 2819/7372800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 191/6635520], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 3497/9289728], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 187/3096576], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 86243/424673280], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 5953/132710400], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 191/4976640], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 46843/353894400], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 731/26542080], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1]], 13/1105920], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 740551/707788800], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 12137599/11890851840], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 219269/1061683200], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 221639/891813888], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1567/8847360], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 6329/27648000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1279/44236800], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 517/589824], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 9397/11796480], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 13333/44236800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 509/4423680], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 215081/1061683200], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 4429/36864000], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 107/6635520], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 5141/247726080], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 103/13271040], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4147200], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 229583/353894400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 23174269/33973862400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 27929/66355200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 42367/637009920], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 197/1290240], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 103/1843200], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 33/18350080], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/774144], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 67/2064384], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1]], 1/10321920], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 217/132710400], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 3467/29491200], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 577/36864000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 67/2211840], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 7/368640], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 17/35389440], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 13/39813120], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 7/9830400], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/327680], [[[1, 9], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1]], 1/11059200], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 79/5529600], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 93647/15854469120], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1]], 1/11059200], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 55/21233664], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 11/193536], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/1105920], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 11/829440], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 167/1179648], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 23/1843200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 23/1105920], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 5/73728], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 43/21233664], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 7/3276800], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 1/589824], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 2549/44236800], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 577/23592960], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1]], 29/33177600], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 61/7962624], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 67/2211840], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/460800], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1211/9953280], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 6379/159252480], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 1/368640], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1/221184], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 13/1290240], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 19/53084160], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 29/14745600], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 23/30965760], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 29/6553600], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 19/55296000], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 23/33177600], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13271040], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 4039/44236800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 32801/117964800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 4591/36864000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 29/1105920], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 383/2211840], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 1/387072], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 32209/1189085184], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 19/8294400], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 191/55738368], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1579/70778880], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 191/20643840], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1]], 7/3686400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 431993/1061683200], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 82639/396361728], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 88933/3303014400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 398387/8918138880], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 3541/44236800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 1099/27648000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 119/44236800], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 79747/132710400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 843473/2972712960], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 2401/44236800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 4723/139345920], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 54077/1061683200], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 67/4096000], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/259200], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 4477/4954521600], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1290240], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 198833/353894400], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 329785067/951268147200], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 2146663/14863564800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 149659/4459069440], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 41/1290240], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/368640], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2]], 1/23592960], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/491520], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 1/153600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 7/3686400], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/3870720], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1]], 1/29491200], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 1/8847360], [[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 43/88473600], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1079/15854469120], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 7/106168320], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 1603/88473600], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 1/614400], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 1/368640], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/516096], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 67/22118400], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 11/23592960], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/6635520], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 1/737280], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 19/4976640], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 11/5898240], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1290240], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/58982400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 1343/132710400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 28567/283115520], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 661/36864000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 13/1105920], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 115/3096576], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/15482880], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 391/264241152], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/22118400], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 31/278691840], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1999/1101004800], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 53/41287680], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 11741/176947200], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 936611/47563407360], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 101971/89181388800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 80047/26754416640], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 761/44236800], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 77/27648000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 25313/132710400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 178279/3963617280], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 169/44236800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 293/69672960], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 216037/29727129600], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 11/12288000], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4147200], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 43/4246732800], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46448640], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 596183/2123366400], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 57101369/570760888320], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 126841/4954521600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 10661/1274019840], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/2654208], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 6851/471859200], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 7/6144000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 7/3686400], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/387072], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 341/11890851840], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 229/3303014400], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 1/17694720], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 120361/29727129600], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 37451/47563407360], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 91/3185049600], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 2803/26754416640], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 67/44236800], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/13824000], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 2783/132710400], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 4853/1698693120], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/11059200], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 1/6635520], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 10909/29727129600], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4246732800], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 1727227/22295347200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 1529413/95126814720], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 31741/14863564800], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 3901/3822059520], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 521/594542592], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1/18432000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1/11059200], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/15482880], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 401/5945425920], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 11/792723456], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1274019840], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1/22118400], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 47/132710400], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 13/220200960], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 463199/44590694400], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 206347/158544691200], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 571/7431782400], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1471/26754416640], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 25433/44590694400], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 125611/2853804441600], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/2123366400], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1274019840], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 79/8918138880], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 19/63417876480], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/2048], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/17280], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/4800], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/3840], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 7/221184], [[[1, 1], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 2]], 1/17280], [[[1, 1], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [20, 1]], 1/4800], [[[1, 1], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1], [12, 1]], 1/69120], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/55296], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/4608], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 7/27648], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/8192], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 3/40960], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/184320], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/110592], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/30720], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/442368], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/16128], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/61440], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 19/737280], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/884736], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 11/138240], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/516096], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 29/1105920], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/147456], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/552960], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/552960], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/8847360], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/2048], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/17280], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/4800], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 7/221184], [[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 2]], 1/17280], [[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1], [20, 1]], 1/4800], [[[1, 2], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1], [12, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/5376], [[[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, 1], [16, 1]], 19/55296], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/1152], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 3/10240], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/61440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/25920], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 1/7200], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 65/82944], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 53/73728], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 11/23040], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 11/122880], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 7/9216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/25920], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/7200], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/1024], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/153600], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 25/165888], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/122880], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/73728], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 113/331776], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 13/414720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/1152], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 19/165888], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 7/30720], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/11520], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/153600], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/207360], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 101/442368], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/49152], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 7/207360], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/4608], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/345600], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/5376], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 29/129024], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 31/184320], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 17/41472], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 5/20736], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/76800], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 59/245760], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1147/2654208], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 5/13824], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/20736], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/92160], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 7/25920], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/115200], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/46080], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/28800], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1843200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 79/1548288], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/4032], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 367/1105920], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/36864], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/294912], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/86400], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 229/1474560], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 287/6635520], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 169/1658880], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 77/6635520], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/184320], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 133/1843200], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/22118400], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/921600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 493/14745600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1720320], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/3072], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/1152], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 7/30720], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 11/122880], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/25920], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 65/82944], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 53/73728], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 11/23040], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 7/9216], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/25920], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/1024], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/153600], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 19/165888], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/9216], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/73728], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 13/414720], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/122880], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 113/331776], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 19/55296], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/4608], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/1152], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 25/165888], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 3/10240], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/11520], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/153600], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 23/184320], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 13/207360], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/57600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 31/24576], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 89/221184], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 7/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 13/96768], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/207360], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 7/345600], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 11/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1792], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 53/129024], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1792], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 95/82944], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 19/103680], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/5120], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 329/2211840], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/38400], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 19/138240], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 787/2211840], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 2027/1327104], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 29/69120], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 19/96768], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 7/51840], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 25/27648], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/57600], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5120], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 35/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 13/25920], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/115200], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/2560], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/46080], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/28800], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 35/442368], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/57600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 13/1843200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/57344], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 209/774144], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/4032], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 161/276480], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 101/331776], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/6480], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/163840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 247/1382400], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 11/110592], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1519/1474560], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 587/1327104], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 229/414720], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/115200], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/122880], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 229/1327104], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 149/1658880], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 13/103680], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 649/1843200], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/69120], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/57600], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 157/44236800], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 7/115200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/276480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 12949/44236800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1391/92897280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 73/1658880], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 3/40960], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 7/27648], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/8192], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/7680], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/184320], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/110592], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/55296], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/4608], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/10240], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 31/24576], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 23/184320], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 89/221184], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 7/9216], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 19/96768], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/5120], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/57600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 13/25920], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 53/129024], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1792], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/4032], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 35/41472], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 7/46080], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 787/2211840], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 29/69120], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 329/2211840], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 2027/1327104], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 19/138240], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/51840], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7/115200], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 13/96768], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/5376], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 25/27648], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/6144], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 7/345600], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 19/103680], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/6144], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 95/82944], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 11/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/207360], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/207360], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/2560], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5120], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 623/1105920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 23/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 473/921600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 7/138240], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 535/1548288], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 425/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 149/414720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 5/9216], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/25920], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 19/138240], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 397/737280], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 229/460800], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 119/331776], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 25/18432], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1043/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 599/829440], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 59/115200], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 301/3317760], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 19/57600], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/34560], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 143/221184], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 29/82944], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 11/20736], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 29/36864], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 17/138240], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/57600], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 3947/44236800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 209/460800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/20480], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23333/26542080], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 119/884736], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 79/414720], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 101/442368], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/49152], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/92160], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 7/25920], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 29/129024], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/5376], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/5376], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 59/245760], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/76800], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 5/13824], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1147/2654208], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/20736], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7/115200], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/13824], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 31/184320], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/345600], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 5/20736], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 17/41472], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 7/207360], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/207360], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4032], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 143/221184], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 19/57600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 11/20736], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 29/36864], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 17/57600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 425/774144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4032], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 535/1548288], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 301/3317760], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 29/82944], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/34560], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 17/138240], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 25/18432], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 229/460800], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 599/829440], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 397/737280], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1043/663552], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 119/331776], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 59/115200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 149/414720], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 23/57600], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/25920], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 623/1105920], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 5/9216], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2160], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 473/921600], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 19/138240], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/138240], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 25657/44236800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1249/921600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 367/1658880], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 29549/26542080], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 67/184320], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 269/829440], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/61440], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/442368], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 19/737280], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 11/138240], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/884736], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/61440], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4032], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 229/1327104], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/57600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 13/103680], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 649/1843200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/57600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 209/774144], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/57344], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/122880], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 149/1658880], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1519/1474560], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 247/1382400], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 229/414720], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 11/163840], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 587/1327104], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 11/110592], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/115200], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 161/276480], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/57600], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/6480], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 35/442368], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 101/331776], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/1843200], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 29549/26542080], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1249/921600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 269/829440], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 25657/44236800], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 67/184320], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 367/1658880], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4032], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 77/6635520], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 133/1843200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 79/1548288], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/184320], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 229/1474560], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/86400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 169/1658880], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/294912], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 287/6635520], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 367/1105920], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/28800], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/737280], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/36864], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1843200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23333/26542080], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 209/460800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 79/414720], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 3947/44236800], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 119/884736], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/20480], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/147456], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/552960], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/552960], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 29/1105920], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 12949/44236800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 7/115200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 73/1658880], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 157/44236800], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1391/92897280], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/276480], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 493/14745600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/921600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/552960], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1720320], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/8847360], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/1344], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1344], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/1344], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1344], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 5/13824], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 31/69120], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/69120], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 5/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040] ]}