{[ [[[1, 25]], 1/2427160677580800000], [[[2, 25]], 1/2427160677580800000], [[[1, 1], [2, 24]], 121/2427160677580800000], [[[1, 1], [4, 12]], 1/2786918400], [[[1, 2], [2, 23]], 1/385263599616000], [[[1, 3], [2, 22]], 1031/13484225986560000], [[[1, 4], [2, 21]], 19039/13484225986560000], [[[1, 5], [2, 20]], 231263/13484225986560000], [[[1, 5], [4, 10]], 1/11147673600], [[[1, 5], [5, 5]], 1/200000], [[[1, 6], [2, 19]], 85072249/606790169395200000], [[[1, 7], [2, 18]], 67438747/86684309913600000], [[[1, 8], [2, 17]], 10536229/3595793596416000], [[[1, 9], [2, 16]], 134235361/17978967982080000], [[[1, 9], [3, 8]], 1/7558272], [[[1, 9], [5, 4]], 77/92160000], [[[1, 10], [2, 15]], 49813/3852635996160], [[[1, 11], [2, 14]], 847589/53508833280000], [[[1, 11], [3, 7]], 1/7558272], [[[1, 12], [2, 13]], 723457/45864714240000], [[[1, 13], [2, 12]], 723457/45864714240000], [[[1, 13], [3, 6]], 1573/33861058560], [[[1, 13], [5, 3]], 409/11612160000], [[[1, 13], [7, 2]], 1/325140480], [[[1, 14], [2, 11]], 847589/53508833280000], [[[1, 15], [2, 10]], 49813/3852635996160], [[[1, 15], [3, 5]], 4463/677221171200], [[[1, 16], [2, 9]], 134235361/17978967982080000], [[[1, 17], [2, 8]], 10536229/3595793596416000], [[[1, 17], [3, 4]], 24413/75848771174400], [[[1, 17], [5, 2]], 89/3344302080000], [[[1, 18], [2, 7]], 67438747/86684309913600000], [[[1, 19], [2, 6]], 85072249/606790169395200000], [[[1, 19], [3, 3]], 509/75848771174400], [[[1, 19], [7, 1]], 1/14046068736000], [[[1, 20], [2, 5]], 231263/13484225986560000], [[[1, 21], [2, 4]], 19039/13484225986560000], [[[1, 21], [3, 2]], 949/15169754234880000], [[[1, 21], [4, 2]], 1/13484225986560000], [[[1, 21], [5, 1]], 1/168552824832000], [[[1, 22], [2, 3]], 1031/13484225986560000], [[[1, 23], [2, 2]], 1/385263599616000], [[[1, 23], [3, 1]], 1/3792438558720000], [[[1, 24], [2, 1]], 121/2427160677580800000], [[[2, 1], [4, 12]], 1/2786918400], [[[2, 5], [4, 10]], 1/11147673600], [[[2, 5], [10, 5]], 1/200000], [[[2, 9], [6, 8]], 1/7558272], [[[2, 9], [10, 4]], 77/92160000], [[[2, 11], [6, 7]], 1/7558272], [[[2, 13], [6, 6]], 1573/33861058560], [[[2, 13], [10, 3]], 409/11612160000], [[[2, 13], [14, 2]], 1/325140480], [[[2, 15], [6, 5]], 4463/677221171200], [[[2, 17], [6, 4]], 24413/75848771174400], [[[2, 17], [10, 2]], 89/3344302080000], [[[2, 19], [6, 3]], 509/75848771174400], [[[2, 19], [14, 1]], 1/14046068736000], [[[2, 21], [4, 2]], 1/13484225986560000], [[[2, 21], [6, 2]], 949/15169754234880000], [[[2, 21], [10, 1]], 1/168552824832000], [[[2, 23], [6, 1]], 1/3792438558720000], [[[1, 1], [2, 2], [4, 11]], 1/46448640], [[[1, 1], [2, 4], [4, 10]], 13/11147673600], [[[1, 1], [2, 4], [10, 5]], 1/200000], [[[1, 1], [2, 6], [4, 9]], 113/27869184000], [[[1, 1], [2, 8], [6, 8]], 1/7558272], [[[1, 1], [2, 8], [10, 4]], 851/92160000], [[[1, 1], [2, 10], [6, 7]], 7/7558272], [[[1, 1], [2, 12], [6, 6]], 21439/33861058560], [[[1, 1], [2, 12], [10, 3]], 8713/11612160000], [[[1, 1], [2, 12], [14, 2]], 37/325140480], [[[1, 1], [2, 14], [6, 5]], 97703/677221171200], [[[1, 1], [2, 16], [6, 4]], 876383/75848771174400], [[[1, 1], [2, 16], [10, 2]], 37/26127360000], [[[1, 1], [2, 18], [4, 3]], 1/5350883328000], [[[1, 1], [2, 18], [6, 3]], 16901/47405481984000], [[[1, 1], [2, 18], [14, 1]], 79/14046068736000], [[[1, 1], [2, 20], [4, 2]], 31/4494741995520000], [[[1, 1], [2, 20], [6, 2]], 5021/1083553873920000], [[[1, 1], [2, 20], [8, 1]], 1/1685528248320000], [[[1, 1], [2, 20], [10, 1]], 31/60197437440000], [[[1, 1], [2, 22], [4, 1]], 1/722369249280000], [[[1, 1], [2, 22], [6, 1]], 97/3792438558720000], [[[1, 1], [4, 4], [12, 4]], 1/3888], [[[1, 1], [4, 4], [20, 2]], 1/38400], [[[1, 1], [4, 6], [12, 3]], 13/124416], [[[1, 1], [4, 6], [28, 1]], 1/32256], [[[1, 1], [4, 8], [12, 2]], 67/11612160], [[[1, 1], [4, 8], [20, 1]], 1/460800], [[[1, 1], [4, 10], [12, 1]], 17/174182400], [[[1, 2], [2, 1], [4, 11]], 1/46448640], [[[1, 2], [2, 3], [4, 10]], 883/1857945600], [[[1, 2], [2, 5], [4, 9]], 491/9289728000], [[[1, 2], [2, 7], [4, 8]], 71/1238630400], [[[1, 2], [2, 7], [5, 4]], 1/460800000], [[[1, 2], [2, 7], [10, 4]], 131/6144000], [[[1, 2], [2, 9], [6, 7]], 1/839808], [[[1, 2], [2, 11], [6, 6]], 1477/537477120], [[[1, 2], [2, 11], [10, 3]], 2129/387072000], [[[1, 2], [2, 11], [14, 2]], 1/774144], [[[1, 2], [2, 13], [6, 5]], 1/860160], [[[1, 2], [2, 15], [4, 4]], 1/7927234560], [[[1, 2], [2, 15], [6, 4]], 186989/1203948748800], [[[1, 2], [2, 15], [10, 2]], 25/891813888], [[[1, 2], [2, 17], [4, 3]], 1/84934656000], [[[1, 2], [2, 17], [6, 3]], 22403/3009871872000], [[[1, 2], [2, 17], [14, 1]], 59/334430208000], [[[1, 2], [2, 19], [3, 2]], 1/3792438558720000], [[[1, 2], [2, 19], [4, 2]], 43/23410114560000], [[[1, 2], [2, 19], [5, 1]], 1/1053455155200000], [[[1, 2], [2, 19], [6, 2]], 5221/37456183296000], [[[1, 2], [2, 19], [8, 1]], 13/240789749760000], [[[1, 2], [2, 19], [10, 1]], 1027/56184274944000], [[[1, 2], [2, 21], [3, 1]], 1/5056584744960000], [[[1, 2], [2, 21], [4, 1]], 1283/10113169489920000], [[[1, 2], [2, 21], [6, 1]], 1753/1685528248320000], [[[1, 3], [2, 2], [4, 10]], 883/1857945600], [[[1, 3], [2, 4], [4, 9]], 8089/1672151040], [[[1, 3], [2, 6], [4, 8]], 133/176947200], [[[1, 3], [2, 6], [5, 4]], 31/460800000], [[[1, 3], [2, 6], [10, 4]], 139/10240000], [[[1, 3], [2, 8], [4, 7]], 13/44236800], [[[1, 3], [2, 8], [6, 7]], 1/2519424], [[[1, 3], [2, 10], [6, 6]], 439/107495424], [[[1, 3], [2, 10], [10, 3]], 1531/92160000], [[[1, 3], [2, 10], [14, 2]], 59/9031680], [[[1, 3], [2, 12], [4, 5]], 1/94371840], [[[1, 3], [2, 12], [6, 5]], 1987/470292480], [[[1, 3], [2, 14], [4, 4]], 73/16986931200], [[[1, 3], [2, 14], [6, 4]], 3689597/3611846246400], [[[1, 3], [2, 14], [10, 2]], 3151/11612160000], [[[1, 3], [2, 16], [4, 3]], 119/127401984000], [[[1, 3], [2, 16], [6, 3]], 6973/87787929600], [[[1, 3], [2, 16], [14, 1]], 89/31213486080], [[[1, 3], [2, 18], [3, 2]], 13/541776936960000], [[[1, 3], [2, 18], [4, 2]], 175907/1685528248320000], [[[1, 3], [2, 18], [5, 1]], 13/150493593600000], [[[1, 3], [2, 18], [6, 2]], 18791/8427641241600], [[[1, 3], [2, 18], [8, 1]], 1/499415777280], [[[1, 3], [2, 18], [10, 1]], 2029/5852528640000], [[[1, 3], [2, 20], [3, 1]], 31/1685528248320000], [[[1, 3], [2, 20], [4, 1]], 2783/577895399424000], [[[1, 3], [2, 20], [6, 1]], 117571/5056584744960000], [[[1, 3], [3, 1], [4, 10]], 1/348364800], [[[1, 3], [4, 9], [8, 1]], 1/464486400], [[[1, 4], [2, 1], [4, 10]], 13/11147673600], [[[1, 4], [2, 1], [5, 5]], 1/200000], [[[1, 4], [2, 3], [4, 9]], 8089/1672151040], [[[1, 4], [2, 5], [4, 8]], 8593/371589120], [[[1, 4], [2, 5], [5, 4]], 1/2048000], [[[1, 4], [2, 5], [10, 4]], 11/10240000], [[[1, 4], [2, 7], [4, 7]], 173/44236800], [[[1, 4], [2, 9], [4, 6]], 271/283115520], [[[1, 4], [2, 9], [5, 3]], 1/184320000], [[[1, 4], [2, 9], [6, 6]], 253/107495424], [[[1, 4], [2, 9], [7, 2]], 1/36126720], [[[1, 4], [2, 9], [10, 3]], 1037/46080000], [[[1, 4], [2, 9], [14, 2]], 61/3612672], [[[1, 4], [2, 11], [4, 5]], 19/94371840], [[[1, 4], [2, 11], [6, 5]], 499/71663616], [[[1, 4], [2, 13], [4, 4]], 4241/39636172800], [[[1, 4], [2, 13], [6, 4]], 47143/13377208320], [[[1, 4], [2, 13], [10, 2]], 57707/41287680000], [[[1, 4], [2, 15], [4, 3]], 10199/382205952000], [[[1, 4], [2, 15], [6, 3]], 571909/1203948748800], [[[1, 4], [2, 15], [14, 1]], 2717/104044953600], [[[1, 4], [2, 17], [3, 2]], 1/1123685498880], [[[1, 4], [2, 17], [4, 2]], 450101/179789679820800], [[[1, 4], [2, 17], [5, 1]], 1/312134860800], [[[1, 4], [2, 17], [6, 2]], 2347339/112368549888000], [[[1, 4], [2, 17], [8, 1]], 491/12485394432000], [[[1, 4], [2, 17], [10, 1]], 51803/13377208320000], [[[1, 4], [2, 19], [3, 1]], 667/948109639680000], [[[1, 4], [2, 19], [4, 1]], 2005567/20226338979840000], [[[1, 4], [2, 19], [6, 1]], 493/1560674304000], [[[1, 5], [2, 2], [4, 9]], 491/9289728000], [[[1, 5], [2, 4], [4, 8]], 8593/371589120], [[[1, 5], [2, 4], [5, 4]], 11/10240000], [[[1, 5], [2, 4], [10, 4]], 1/2048000], [[[1, 5], [2, 6], [4, 7]], 647/13271040], [[[1, 5], [2, 8], [4, 6]], 857/94371840], [[[1, 5], [2, 8], [5, 3]], 19/110592000], [[[1, 5], [2, 8], [6, 6]], 47/107495424], [[[1, 5], [2, 8], [7, 2]], 19/21676032], [[[1, 5], [2, 8], [10, 3]], 101/7680000], [[[1, 5], [2, 8], [14, 2]], 85/3612672], [[[1, 5], [2, 10], [4, 5]], 11/2949120], [[[1, 5], [2, 10], [6, 5]], 1939/358318080], [[[1, 5], [2, 12], [4, 4]], 55081/39636172800], [[[1, 5], [2, 12], [5, 2]], 1/17694720000], [[[1, 5], [2, 12], [6, 4]], 5699/891813888], [[[1, 5], [2, 12], [10, 2]], 45709/11612160000], [[[1, 5], [2, 14], [4, 3]], 20093/59454259200], [[[1, 5], [2, 14], [6, 3]], 3523/2149908480], [[[1, 5], [2, 14], [14, 1]], 44249/312134860800], [[[1, 5], [2, 16], [3, 2]], 491/28092137472000], [[[1, 5], [2, 16], [4, 2]], 28176829/898948399104000], [[[1, 5], [2, 16], [5, 1]], 491/7803371520000], [[[1, 5], [2, 16], [6, 2]], 6706993/56184274944000], [[[1, 5], [2, 16], [8, 1]], 239/535088332800], [[[1, 5], [2, 16], [10, 1]], 59197/2229534720000], [[[1, 5], [2, 18], [3, 1]], 54799/3792438558720000], [[[1, 5], [2, 18], [4, 1]], 91597/74912366592000], [[[1, 5], [2, 18], [6, 1]], 25547/9364045824000], [[[1, 5], [3, 2], [5, 4]], 1/720000], [[[1, 5], [3, 4], [7, 2]], 1/127008], [[[1, 5], [3, 4], [9, 2]], 1/23328], [[[1, 5], [4, 2], [5, 4]], 1/2560000], [[[1, 5], [4, 2], [20, 2]], 1/153600], [[[1, 5], [4, 4], [12, 3]], 1/497664], [[[1, 5], [4, 4], [28, 1]], 1/129024], [[[1, 5], [4, 6], [12, 2]], 1/1327104], [[[1, 5], [4, 6], [20, 1]], 1/1843200], [[[1, 5], [4, 8], [12, 1]], 1/46448640], [[[1, 5], [5, 3], [10, 2]], 1/8000], [[[1, 6], [2, 1], [4, 9]], 113/27869184000], [[[1, 6], [2, 3], [4, 8]], 133/176947200], [[[1, 6], [2, 3], [5, 4]], 139/10240000], [[[1, 6], [2, 3], [10, 4]], 31/460800000], [[[1, 6], [2, 5], [4, 7]], 647/13271040], [[[1, 6], [2, 7], [3, 6]], 1/4837294080], [[[1, 6], [2, 7], [4, 6]], 4045/84934656], [[[1, 6], [2, 7], [5, 3]], 1843/1382400000], [[[1, 6], [2, 7], [6, 6]], 31/4837294080], [[[1, 6], [2, 7], [7, 2]], 79/11612160], [[[1, 6], [2, 7], [10, 3]], 5033/1382400000], [[[1, 6], [2, 7], [14, 2]], 1459/81285120], [[[1, 6], [2, 9], [3, 5]], 1/2149908480], [[[1, 6], [2, 9], [4, 5]], 51/2621440], [[[1, 6], [2, 9], [6, 5]], 763/403107840], [[[1, 6], [2, 11], [3, 4]], 1/3822059520], [[[1, 6], [2, 11], [4, 4]], 1022377/118908518400], [[[1, 6], [2, 11], [5, 2]], 1/184320000], [[[1, 6], [2, 11], [6, 4]], 11124683/1805923123200], [[[1, 6], [2, 11], [10, 2]], 26064757/4180377600000], [[[1, 6], [2, 13], [4, 3]], 386293/178362777600], [[[1, 6], [2, 13], [6, 3]], 44172469/13544423424000], [[[1, 6], [2, 13], [7, 1]], 1/4954521600], [[[1, 6], [2, 13], [14, 1]], 1636309/3511517184000], [[[1, 6], [2, 15], [3, 2]], 239/1203948748800], [[[1, 6], [2, 15], [4, 2]], 795619/3567255552000], [[[1, 6], [2, 15], [5, 1]], 239/334430208000], [[[1, 6], [2, 15], [6, 2]], 85203131/202263389798400], [[[1, 6], [2, 15], [8, 1]], 299/99090432000], [[[1, 6], [2, 15], [10, 1]], 22759861/200658124800000], [[[1, 6], [2, 17], [3, 1]], 2189/12485394432000], [[[1, 6], [2, 17], [4, 1]], 25247/2675441664000], [[[1, 6], [2, 17], [6, 1]], 77205631/5056584744960000], [[[1, 7], [2, 2], [4, 8]], 71/1238630400], [[[1, 7], [2, 2], [5, 4]], 131/6144000], [[[1, 7], [2, 2], [10, 4]], 1/460800000], [[[1, 7], [2, 4], [4, 7]], 173/44236800], [[[1, 7], [2, 6], [3, 6]], 31/4837294080], [[[1, 7], [2, 6], [4, 6]], 4045/84934656], [[[1, 7], [2, 6], [5, 3]], 5033/1382400000], [[[1, 7], [2, 6], [6, 6]], 1/4837294080], [[[1, 7], [2, 6], [7, 2]], 1459/81285120], [[[1, 7], [2, 6], [10, 3]], 1843/1382400000], [[[1, 7], [2, 6], [14, 2]], 79/11612160], [[[1, 7], [2, 8], [3, 5]], 11/716636160], [[[1, 7], [2, 8], [4, 5]], 83/1769472], [[[1, 7], [2, 8], [6, 5]], 209/806215680], [[[1, 7], [2, 10], [3, 4]], 331/34398535680], [[[1, 7], [2, 10], [4, 4]], 1078547/39636172800], [[[1, 7], [2, 10], [5, 2]], 697/5308416000], [[[1, 7], [2, 10], [6, 4]], 5621561/1805923123200], [[[1, 7], [2, 10], [10, 2]], 745421/130636800000], [[[1, 7], [2, 12], [3, 3]], 31/57330892800], [[[1, 7], [2, 12], [4, 3]], 460039/59454259200], [[[1, 7], [2, 12], [6, 3]], 3175489/846526464000], [[[1, 7], [2, 12], [7, 1]], 109/14863564800], [[[1, 7], [2, 12], [14, 1]], 67219/71663616000], [[[1, 7], [2, 14], [3, 2]], 809/594542592000], [[[1, 7], [2, 14], [4, 2]], 10077197/10701766656000], [[[1, 7], [2, 14], [5, 1]], 809/165150720000], [[[1, 7], [2, 14], [6, 2]], 28960553/31603654656000], [[[1, 7], [2, 14], [8, 1]], 10771/891813888000], [[[1, 7], [2, 14], [10, 1]], 3799091/12541132800000], [[[1, 7], [2, 16], [3, 1]], 48991/37456183296000], [[[1, 7], [2, 16], [4, 1]], 22375763/481579499520000], [[[1, 7], [2, 16], [6, 1]], 281169787/5056584744960000], [[[1, 7], [3, 1], [5, 4]], 49/2880000], [[[1, 7], [3, 3], [5, 3]], 1/129600], [[[1, 7], [3, 3], [7, 2]], 5/508032], [[[1, 7], [3, 3], [9, 2]], 1/93312], [[[1, 7], [3, 5], [5, 2]], 1/1166400], [[[1, 7], [3, 6], [7, 1]], 1/489888], [[[1, 7], [3, 6], [9, 1]], 1/209952], [[[1, 7], [5, 3], [7, 1]], 1/84000], [[[1, 8], [2, 1], [3, 8]], 1/7558272], [[[1, 8], [2, 1], [5, 4]], 851/92160000], [[[1, 8], [2, 3], [3, 7]], 1/2519424], [[[1, 8], [2, 3], [4, 7]], 13/44236800], [[[1, 8], [2, 5], [3, 6]], 47/107495424], [[[1, 8], [2, 5], [4, 6]], 857/94371840], [[[1, 8], [2, 5], [5, 3]], 101/7680000], [[[1, 8], [2, 5], [7, 2]], 85/3612672], [[[1, 8], [2, 5], [10, 3]], 19/110592000], [[[1, 8], [2, 5], [14, 2]], 19/21676032], [[[1, 8], [2, 7], [3, 5]], 209/806215680], [[[1, 8], [2, 7], [4, 5]], 83/1769472], [[[1, 8], [2, 7], [6, 5]], 11/716636160], [[[1, 8], [2, 9], [3, 4]], 739/6879707136], [[[1, 8], [2, 9], [4, 4]], 27113/566231040], [[[1, 8], [2, 9], [5, 2]], 1663/1658880000], [[[1, 8], [2, 9], [6, 4]], 45547/57330892800], [[[1, 8], [2, 9], [10, 2]], 77561/24772608000], [[[1, 8], [2, 11], [3, 3]], 11/597196800], [[[1, 8], [2, 11], [4, 3]], 39565/2378170368], [[[1, 8], [2, 11], [6, 3]], 993679/401316249600], [[[1, 8], [2, 11], [7, 1]], 593/7431782400], [[[1, 8], [2, 11], [14, 1]], 5432221/4682022912000], [[[1, 8], [2, 13], [3, 2]], 51169/8026324992000], [[[1, 8], [2, 13], [4, 2]], 26157269/10701766656000], [[[1, 8], [2, 13], [5, 1]], 48859/2229534720000], [[[1, 8], [2, 13], [6, 2]], 562489/458647142400], [[[1, 8], [2, 13], [8, 1]], 331/11890851840], [[[1, 8], [2, 13], [10, 1]], 4085299/8026324992000], [[[1, 8], [2, 15], [3, 1]], 294089/48157949952000], [[[1, 8], [2, 15], [4, 1]], 70886393/481579499520000], [[[1, 8], [2, 15], [6, 1]], 73816279/561842749440000], [[[1, 9], [2, 2], [3, 7]], 1/839808], [[[1, 9], [2, 4], [3, 6]], 253/107495424], [[[1, 9], [2, 4], [4, 6]], 271/283115520], [[[1, 9], [2, 4], [5, 3]], 1037/46080000], [[[1, 9], [2, 4], [7, 2]], 61/3612672], [[[1, 9], [2, 4], [10, 3]], 1/184320000], [[[1, 9], [2, 4], [14, 2]], 1/36126720], [[[1, 9], [2, 6], [3, 5]], 763/403107840], [[[1, 9], [2, 6], [4, 5]], 51/2621440], [[[1, 9], [2, 6], [6, 5]], 1/2149908480], [[[1, 9], [2, 8], [3, 4]], 45547/57330892800], [[[1, 9], [2, 8], [4, 4]], 27113/566231040], [[[1, 9], [2, 8], [5, 2]], 77561/24772608000], [[[1, 9], [2, 8], [6, 4]], 739/6879707136], [[[1, 9], [2, 8], [10, 2]], 1663/1658880000], [[[1, 9], [2, 10], [3, 3]], 15809/85996339200], [[[1, 9], [2, 10], [4, 3]], 49817/2123366400], [[[1, 9], [2, 10], [6, 3]], 15319/16721510400], [[[1, 9], [2, 10], [7, 1]], 8333/22295347200], [[[1, 9], [2, 10], [14, 1]], 90623/104044953600], [[[1, 9], [2, 12], [3, 2]], 1187/39636172800], [[[1, 9], [2, 12], [4, 2]], 44181713/10701766656000], [[[1, 9], [2, 12], [5, 1]], 108977/1486356480000], [[[1, 9], [2, 12], [6, 2]], 4840249/4815794995200], [[[1, 9], [2, 12], [8, 1]], 101/2831155200], [[[1, 9], [2, 12], [10, 1]], 3658199/6688604160000], [[[1, 9], [2, 14], [3, 1]], 14059/764411904000], [[[1, 9], [2, 14], [4, 1]], 697717/2293235712000], [[[1, 9], [2, 14], [6, 1]], 9691583/48157949952000], [[[1, 9], [3, 2], [5, 3]], 71/4320000], [[[1, 9], [3, 2], [7, 2]], 107/27095040], [[[1, 9], [3, 2], [9, 2]], 1/14929920], [[[1, 9], [3, 4], [5, 2]], 89/9331200], [[[1, 9], [3, 5], [7, 1]], 1/435456], [[[1, 9], [3, 5], [9, 1]], 5/1679616], [[[1, 9], [3, 6], [4, 2]], 1/26873856], [[[1, 9], [3, 6], [5, 1]], 1/524880], [[[1, 9], [4, 2], [5, 3]], 1/15360000], [[[1, 9], [4, 2], [7, 2]], 1/1806336], [[[1, 9], [5, 1], [7, 2]], 1/141120], [[[1, 9], [5, 2], [10, 2]], 1/18432000], [[[1, 10], [2, 1], [3, 7]], 7/7558272], [[[1, 10], [2, 3], [3, 6]], 439/107495424], [[[1, 10], [2, 3], [5, 3]], 1531/92160000], [[[1, 10], [2, 3], [7, 2]], 59/9031680], [[[1, 10], [2, 5], [3, 5]], 1939/358318080], [[[1, 10], [2, 5], [4, 5]], 11/2949120], [[[1, 10], [2, 7], [3, 4]], 5621561/1805923123200], [[[1, 10], [2, 7], [4, 4]], 1078547/39636172800], [[[1, 10], [2, 7], [5, 2]], 745421/130636800000], [[[1, 10], [2, 7], [6, 4]], 331/34398535680], [[[1, 10], [2, 7], [10, 2]], 697/5308416000], [[[1, 10], [2, 9], [3, 3]], 15319/16721510400], [[[1, 10], [2, 9], [4, 3]], 49817/2123366400], [[[1, 10], [2, 9], [6, 3]], 15809/85996339200], [[[1, 10], [2, 9], [7, 1]], 90623/104044953600], [[[1, 10], [2, 9], [14, 1]], 8333/22295347200], [[[1, 10], [2, 11], [3, 2]], 1909/12740198400], [[[1, 10], [2, 11], [4, 2]], 6760321/1337720832000], [[[1, 10], [2, 11], [5, 1]], 31387/159252480000], [[[1, 10], [2, 11], [6, 2]], 1603523/3210529996800], [[[1, 10], [2, 11], [8, 1]], 79/2831155200], [[[1, 10], [2, 11], [10, 1]], 349499/891813888000], [[[1, 10], [2, 13], [3, 1]], 128497/3210529996800], [[[1, 10], [2, 13], [4, 1]], 6913201/16052649984000], [[[1, 10], [2, 13], [6, 1]], 9735997/48157949952000], [[[1, 11], [2, 2], [3, 6]], 1477/537477120], [[[1, 11], [2, 2], [5, 3]], 2129/387072000], [[[1, 11], [2, 2], [7, 2]], 1/774144], [[[1, 11], [2, 4], [3, 5]], 499/71663616], [[[1, 11], [2, 4], [4, 5]], 19/94371840], [[[1, 11], [2, 6], [3, 4]], 11124683/1805923123200], [[[1, 11], [2, 6], [4, 4]], 1022377/118908518400], [[[1, 11], [2, 6], [5, 2]], 26064757/4180377600000], [[[1, 11], [2, 6], [6, 4]], 1/3822059520], [[[1, 11], [2, 6], [10, 2]], 1/184320000], [[[1, 11], [2, 8], [3, 3]], 993679/401316249600], [[[1, 11], [2, 8], [4, 3]], 39565/2378170368], [[[1, 11], [2, 8], [6, 3]], 11/597196800], [[[1, 11], [2, 8], [7, 1]], 5432221/4682022912000], [[[1, 11], [2, 8], [14, 1]], 593/7431782400], [[[1, 11], [2, 10], [3, 2]], 1603523/3210529996800], [[[1, 11], [2, 10], [4, 2]], 6760321/1337720832000], [[[1, 11], [2, 10], [5, 1]], 349499/891813888000], [[[1, 11], [2, 10], [6, 2]], 1909/12740198400], [[[1, 11], [2, 10], [8, 1]], 79/2831155200], [[[1, 11], [2, 10], [10, 1]], 31387/159252480000], [[[1, 11], [2, 12], [3, 1]], 415607/5350883328000], [[[1, 11], [2, 12], [4, 1]], 7592041/16052649984000], [[[1, 11], [2, 12], [6, 1]], 752401/5350883328000], [[[1, 11], [3, 1], [5, 3]], 1439/967680000], [[[1, 11], [3, 1], [7, 2]], 41/81285120], [[[1, 11], [3, 3], [5, 2]], 3791/1045094400], [[[1, 11], [3, 4], [7, 1]], 125/146313216], [[[1, 11], [3, 4], [9, 1]], 95/188116992], [[[1, 11], [3, 5], [4, 2]], 1/35831808], [[[1, 11], [3, 5], [5, 1]], 37/27993600], [[[1, 11], [5, 2], [7, 1]], 193/193536000], [[[1, 12], [2, 1], [3, 6]], 21439/33861058560], [[[1, 12], [2, 1], [5, 3]], 8713/11612160000], [[[1, 12], [2, 1], [7, 2]], 37/325140480], [[[1, 12], [2, 3], [3, 5]], 1987/470292480], [[[1, 12], [2, 3], [4, 5]], 1/94371840], [[[1, 12], [2, 5], [3, 4]], 5699/891813888], [[[1, 12], [2, 5], [4, 4]], 55081/39636172800], [[[1, 12], [2, 5], [5, 2]], 45709/11612160000], [[[1, 12], [2, 5], [10, 2]], 1/17694720000], [[[1, 12], [2, 7], [3, 3]], 3175489/846526464000], [[[1, 12], [2, 7], [4, 3]], 460039/59454259200], [[[1, 12], [2, 7], [6, 3]], 31/57330892800], [[[1, 12], [2, 7], [7, 1]], 67219/71663616000], [[[1, 12], [2, 7], [14, 1]], 109/14863564800], [[[1, 12], [2, 9], [3, 2]], 4840249/4815794995200], [[[1, 12], [2, 9], [4, 2]], 44181713/10701766656000], [[[1, 12], [2, 9], [5, 1]], 3658199/6688604160000], [[[1, 12], [2, 9], [6, 2]], 1187/39636172800], [[[1, 12], [2, 9], [8, 1]], 101/2831155200], [[[1, 12], [2, 9], [10, 1]], 108977/1486356480000], [[[1, 12], [2, 11], [3, 1]], 752401/5350883328000], [[[1, 12], [2, 11], [4, 1]], 7592041/16052649984000], [[[1, 12], [2, 11], [6, 1]], 415607/5350883328000], [[[1, 13], [2, 2], [3, 5]], 1/860160], [[[1, 13], [2, 4], [3, 4]], 47143/13377208320], [[[1, 13], [2, 4], [4, 4]], 4241/39636172800], [[[1, 13], [2, 4], [5, 2]], 57707/41287680000], [[[1, 13], [2, 6], [3, 3]], 44172469/13544423424000], [[[1, 13], [2, 6], [4, 3]], 386293/178362777600], [[[1, 13], [2, 6], [7, 1]], 1636309/3511517184000], [[[1, 13], [2, 6], [14, 1]], 1/4954521600], [[[1, 13], [2, 8], [3, 2]], 562489/458647142400], [[[1, 13], [2, 8], [4, 2]], 26157269/10701766656000], [[[1, 13], [2, 8], [5, 1]], 4085299/8026324992000], [[[1, 13], [2, 8], [6, 2]], 51169/8026324992000], [[[1, 13], [2, 8], [8, 1]], 331/11890851840], [[[1, 13], [2, 8], [10, 1]], 48859/2229534720000], [[[1, 13], [2, 10], [3, 1]], 9735997/48157949952000], [[[1, 13], [2, 10], [4, 1]], 6913201/16052649984000], [[[1, 13], [2, 10], [6, 1]], 128497/3210529996800], [[[1, 13], [3, 2], [5, 2]], 55709/209018880000], [[[1, 13], [3, 3], [7, 1]], 10093/87787929600], [[[1, 13], [3, 3], [9, 1]], 593/37623398400], [[[1, 13], [3, 4], [4, 2]], 121/20065812480], [[[1, 13], [3, 4], [5, 1]], 857/3135283200], [[[1, 13], [4, 2], [5, 2]], 253/92897280000], [[[1, 14], [2, 1], [3, 5]], 97703/677221171200], [[[1, 14], [2, 3], [3, 4]], 3689597/3611846246400], [[[1, 14], [2, 3], [4, 4]], 73/16986931200], [[[1, 14], [2, 3], [5, 2]], 3151/11612160000], [[[1, 14], [2, 5], [3, 3]], 3523/2149908480], [[[1, 14], [2, 5], [4, 3]], 20093/59454259200], [[[1, 14], [2, 5], [7, 1]], 44249/312134860800], [[[1, 14], [2, 7], [3, 2]], 28960553/31603654656000], [[[1, 14], [2, 7], [4, 2]], 10077197/10701766656000], [[[1, 14], [2, 7], [5, 1]], 3799091/12541132800000], [[[1, 14], [2, 7], [6, 2]], 809/594542592000], [[[1, 14], [2, 7], [8, 1]], 10771/891813888000], [[[1, 14], [2, 7], [10, 1]], 809/165150720000], [[[1, 14], [2, 9], [3, 1]], 9691583/48157949952000], [[[1, 14], [2, 9], [4, 1]], 697717/2293235712000], [[[1, 14], [2, 9], [6, 1]], 14059/764411904000], [[[1, 15], [2, 2], [3, 4]], 186989/1203948748800], [[[1, 15], [2, 2], [4, 4]], 1/7927234560], [[[1, 15], [2, 2], [5, 2]], 25/891813888], [[[1, 15], [2, 4], [3, 3]], 571909/1203948748800], [[[1, 15], [2, 4], [4, 3]], 10199/382205952000], [[[1, 15], [2, 4], [7, 1]], 2717/104044953600], [[[1, 15], [2, 6], [3, 2]], 85203131/202263389798400], [[[1, 15], [2, 6], [4, 2]], 795619/3567255552000], [[[1, 15], [2, 6], [5, 1]], 22759861/200658124800000], [[[1, 15], [2, 6], [6, 2]], 239/1203948748800], [[[1, 15], [2, 6], [8, 1]], 299/99090432000], [[[1, 15], [2, 6], [10, 1]], 239/334430208000], [[[1, 15], [2, 8], [3, 1]], 73816279/561842749440000], [[[1, 15], [2, 8], [4, 1]], 70886393/481579499520000], [[[1, 15], [2, 8], [6, 1]], 294089/48157949952000], [[[1, 15], [3, 1], [5, 2]], 1259/209018880000], [[[1, 15], [3, 2], [7, 1]], 67/19508428800], [[[1, 15], [3, 2], [9, 1]], 1/7524679680], [[[1, 15], [3, 3], [4, 2]], 13/42998169600], [[[1, 15], [3, 3], [5, 1]], 1217/75246796800], [[[1, 15], [4, 2], [7, 1]], 1/78033715200], [[[1, 15], [5, 1], [7, 1]], 29/48771072000], [[[1, 16], [2, 1], [3, 4]], 876383/75848771174400], [[[1, 16], [2, 1], [5, 2]], 37/26127360000], [[[1, 16], [2, 3], [3, 3]], 6973/87787929600], [[[1, 16], [2, 3], [4, 3]], 119/127401984000], [[[1, 16], [2, 3], [7, 1]], 89/31213486080], [[[1, 16], [2, 5], [3, 2]], 6706993/56184274944000], [[[1, 16], [2, 5], [4, 2]], 28176829/898948399104000], [[[1, 16], [2, 5], [5, 1]], 59197/2229534720000], [[[1, 16], [2, 5], [6, 2]], 491/28092137472000], [[[1, 16], [2, 5], [8, 1]], 239/535088332800], [[[1, 16], [2, 5], [10, 1]], 491/7803371520000], [[[1, 16], [2, 7], [3, 1]], 281169787/5056584744960000], [[[1, 16], [2, 7], [4, 1]], 22375763/481579499520000], [[[1, 16], [2, 7], [6, 1]], 48991/37456183296000], [[[1, 17], [2, 2], [3, 3]], 22403/3009871872000], [[[1, 17], [2, 2], [4, 3]], 1/84934656000], [[[1, 17], [2, 2], [7, 1]], 59/334430208000], [[[1, 17], [2, 4], [3, 2]], 2347339/112368549888000], [[[1, 17], [2, 4], [4, 2]], 450101/179789679820800], [[[1, 17], [2, 4], [5, 1]], 51803/13377208320000], [[[1, 17], [2, 4], [6, 2]], 1/1123685498880], [[[1, 17], [2, 4], [8, 1]], 491/12485394432000], [[[1, 17], [2, 4], [10, 1]], 1/312134860800], [[[1, 17], [2, 6], [3, 1]], 77205631/5056584744960000], [[[1, 17], [2, 6], [4, 1]], 25247/2675441664000], [[[1, 17], [2, 6], [6, 1]], 2189/12485394432000], [[[1, 17], [3, 1], [7, 1]], 67/2341011456000], [[[1, 17], [3, 1], [9, 1]], 1/3009871872000], [[[1, 17], [3, 2], [4, 2]], 31/5618427494400], [[[1, 17], [3, 2], [5, 1]], 6091/17557585920000], [[[1, 17], [4, 2], [5, 1]], 1/1114767360000], [[[1, 18], [2, 1], [3, 3]], 16901/47405481984000], [[[1, 18], [2, 1], [4, 3]], 1/5350883328000], [[[1, 18], [2, 1], [7, 1]], 79/14046068736000], [[[1, 18], [2, 3], [3, 2]], 18791/8427641241600], [[[1, 18], [2, 3], [4, 2]], 175907/1685528248320000], [[[1, 18], [2, 3], [5, 1]], 2029/5852528640000], [[[1, 18], [2, 3], [6, 2]], 13/541776936960000], [[[1, 18], [2, 3], [8, 1]], 1/499415777280], [[[1, 18], [2, 3], [10, 1]], 13/150493593600000], [[[1, 18], [2, 5], [3, 1]], 25547/9364045824000], [[[1, 18], [2, 5], [4, 1]], 91597/74912366592000], [[[1, 18], [2, 5], [6, 1]], 54799/3792438558720000], [[[1, 19], [2, 2], [3, 2]], 5221/37456183296000], [[[1, 19], [2, 2], [4, 2]], 43/23410114560000], [[[1, 19], [2, 2], [5, 1]], 1027/56184274944000], [[[1, 19], [2, 2], [6, 2]], 1/3792438558720000], [[[1, 19], [2, 2], [8, 1]], 13/240789749760000], [[[1, 19], [2, 2], [10, 1]], 1/1053455155200000], [[[1, 19], [2, 4], [3, 1]], 493/1560674304000], [[[1, 19], [2, 4], [4, 1]], 2005567/20226338979840000], [[[1, 19], [2, 4], [6, 1]], 667/948109639680000], [[[1, 19], [3, 1], [4, 2]], 1/28092137472000], [[[1, 19], [3, 1], [5, 1]], 179/70230343680000], [[[1, 19], [4, 1], [8, 1]], 1/1685528248320000], [[[1, 20], [2, 1], [3, 2]], 5021/1083553873920000], [[[1, 20], [2, 1], [4, 2]], 31/4494741995520000], [[[1, 20], [2, 1], [5, 1]], 31/60197437440000], [[[1, 20], [2, 1], [8, 1]], 1/1685528248320000], [[[1, 20], [2, 3], [3, 1]], 117571/5056584744960000], [[[1, 20], [2, 3], [4, 1]], 2783/577895399424000], [[[1, 20], [2, 3], [6, 1]], 31/1685528248320000], [[[1, 21], [2, 2], [3, 1]], 1753/1685528248320000], [[[1, 21], [2, 2], [4, 1]], 1283/10113169489920000], [[[1, 21], [2, 2], [6, 1]], 1/5056584744960000], [[[1, 22], [2, 1], [3, 1]], 97/3792438558720000], [[[1, 22], [2, 1], [4, 1]], 1/722369249280000], [[[2, 1], [4, 4], [12, 4]], 1/3888], [[[2, 1], [4, 4], [20, 2]], 1/38400], [[[2, 1], [4, 6], [12, 3]], 13/124416], [[[2, 1], [4, 6], [28, 1]], 1/32256], [[[2, 1], [4, 8], [12, 2]], 67/11612160], [[[2, 1], [4, 8], [20, 1]], 1/460800], [[[2, 1], [4, 10], [12, 1]], 17/174182400], [[[2, 3], [4, 9], [8, 1]], 1/464486400], [[[2, 3], [4, 10], [6, 1]], 1/348364800], [[[2, 5], [4, 2], [10, 4]], 1/2560000], [[[2, 5], [4, 2], [20, 2]], 1/153600], [[[2, 5], [4, 4], [12, 3]], 1/497664], [[[2, 5], [4, 4], [28, 1]], 1/129024], [[[2, 5], [4, 6], [12, 2]], 1/1327104], [[[2, 5], [4, 6], [20, 1]], 1/1843200], [[[2, 5], [4, 8], [12, 1]], 1/46448640], [[[2, 5], [5, 2], [10, 3]], 1/8000], [[[2, 5], [6, 2], [10, 4]], 1/720000], [[[2, 5], [6, 4], [14, 2]], 1/127008], [[[2, 5], [6, 4], [18, 2]], 1/23328], [[[2, 7], [6, 1], [10, 4]], 49/2880000], [[[2, 7], [6, 3], [10, 3]], 1/129600], [[[2, 7], [6, 3], [14, 2]], 5/508032], [[[2, 7], [6, 3], [18, 2]], 1/93312], [[[2, 7], [6, 5], [10, 2]], 1/1166400], [[[2, 7], [6, 6], [14, 1]], 1/489888], [[[2, 7], [6, 6], [18, 1]], 1/209952], [[[2, 7], [10, 3], [14, 1]], 1/84000], [[[2, 9], [4, 2], [6, 6]], 1/26873856], [[[2, 9], [4, 2], [10, 3]], 1/15360000], [[[2, 9], [4, 2], [14, 2]], 1/1806336], [[[2, 9], [5, 2], [10, 2]], 1/18432000], [[[2, 9], [6, 2], [10, 3]], 71/4320000], [[[2, 9], [6, 2], [14, 2]], 107/27095040], [[[2, 9], [6, 2], [18, 2]], 1/14929920], [[[2, 9], [6, 4], [10, 2]], 89/9331200], [[[2, 9], [6, 5], [14, 1]], 1/435456], [[[2, 9], [6, 5], [18, 1]], 5/1679616], [[[2, 9], [6, 6], [10, 1]], 1/524880], [[[2, 9], [10, 1], [14, 2]], 1/141120], [[[2, 11], [4, 2], [6, 5]], 1/35831808], [[[2, 11], [6, 1], [10, 3]], 1439/967680000], [[[2, 11], [6, 1], [14, 2]], 41/81285120], [[[2, 11], [6, 3], [10, 2]], 3791/1045094400], [[[2, 11], [6, 4], [14, 1]], 125/146313216], [[[2, 11], [6, 4], [18, 1]], 95/188116992], [[[2, 11], [6, 5], [10, 1]], 37/27993600], [[[2, 11], [10, 2], [14, 1]], 193/193536000], [[[2, 13], [4, 2], [6, 4]], 121/20065812480], [[[2, 13], [4, 2], [10, 2]], 253/92897280000], [[[2, 13], [6, 2], [10, 2]], 55709/209018880000], [[[2, 13], [6, 3], [14, 1]], 10093/87787929600], [[[2, 13], [6, 3], [18, 1]], 593/37623398400], [[[2, 13], [6, 4], [10, 1]], 857/3135283200], [[[2, 15], [4, 2], [6, 3]], 13/42998169600], [[[2, 15], [4, 2], [14, 1]], 1/78033715200], [[[2, 15], [6, 1], [10, 2]], 1259/209018880000], [[[2, 15], [6, 2], [14, 1]], 67/19508428800], [[[2, 15], [6, 2], [18, 1]], 1/7524679680], [[[2, 15], [6, 3], [10, 1]], 1217/75246796800], [[[2, 15], [10, 1], [14, 1]], 29/48771072000], [[[2, 17], [4, 2], [6, 2]], 31/5618427494400], [[[2, 17], [4, 2], [10, 1]], 1/1114767360000], [[[2, 17], [6, 1], [14, 1]], 67/2341011456000], [[[2, 17], [6, 1], [18, 1]], 1/3009871872000], [[[2, 17], [6, 2], [10, 1]], 6091/17557585920000], [[[2, 19], [4, 1], [8, 1]], 1/1685528248320000], [[[2, 19], [4, 2], [6, 1]], 1/28092137472000], [[[2, 19], [6, 1], [10, 1]], 179/70230343680000], [[[1, 1], [2, 2], [4, 3], [20, 2]], 1/2560], [[[1, 1], [2, 2], [4, 5], [12, 3]], 29/41472], [[[1, 1], [2, 2], [4, 5], [28, 1]], 1/1792], [[[1, 1], [2, 2], [4, 7], [12, 2]], 67/552960], [[[1, 1], [2, 2], [4, 7], [20, 1]], 1/18432], [[[1, 1], [2, 2], [4, 9], [5, 1]], 1/145152000], [[[1, 1], [2, 2], [4, 9], [8, 1]], 71/154828800], [[[1, 1], [2, 2], [4, 9], [10, 1]], 1/145152000], [[[1, 1], [2, 2], [4, 9], [12, 1]], 1/276480], [[[1, 1], [2, 2], [4, 10], [6, 1]], 1/348364800], [[[1, 1], [2, 4], [3, 1], [4, 9]], 1/2090188800], [[[1, 1], [2, 4], [4, 2], [10, 4]], 3/2560000], [[[1, 1], [2, 4], [4, 2], [20, 2]], 13/153600], [[[1, 1], [2, 4], [4, 4], [12, 3]], 13/497664], [[[1, 1], [2, 4], [4, 4], [28, 1]], 13/129024], [[[1, 1], [2, 4], [4, 6], [8, 2]], 1/368640], [[[1, 1], [2, 4], [4, 6], [12, 2]], 13/1327104], [[[1, 1], [2, 4], [4, 6], [20, 1]], 13/1843200], [[[1, 1], [2, 4], [4, 8], [8, 1]], 1/10321920], [[[1, 1], [2, 4], [4, 8], [12, 1]], 13/46448640], [[[1, 1], [2, 4], [4, 9], [6, 1]], 13/99532800], [[[1, 1], [2, 4], [5, 1], [10, 4]], 1/20000], [[[1, 1], [2, 4], [5, 2], [10, 3]], 1/8000], [[[1, 1], [2, 4], [5, 3], [10, 2]], 1/20000], [[[1, 1], [2, 4], [6, 2], [10, 4]], 1/720000], [[[1, 1], [2, 4], [6, 4], [14, 2]], 1/127008], [[[1, 1], [2, 4], [6, 4], [18, 2]], 1/23328], [[[1, 1], [2, 4], [8, 1], [10, 4]], 1/320000], [[[1, 1], [2, 6], [4, 1], [10, 4]], 103/3840000], [[[1, 1], [2, 6], [4, 1], [20, 2]], 1/768000], [[[1, 1], [2, 6], [4, 3], [10, 3]], 1/512000], [[[1, 1], [2, 6], [4, 3], [12, 3]], 1/2488320], [[[1, 1], [2, 6], [4, 3], [28, 1]], 1/40320], [[[1, 1], [2, 6], [4, 5], [12, 2]], 31/6635520], [[[1, 1], [2, 6], [4, 5], [20, 1]], 17/3072000], [[[1, 1], [2, 6], [4, 7], [8, 1]], 1/8847360], [[[1, 1], [2, 6], [4, 7], [12, 1]], 53/116121600], [[[1, 1], [2, 6], [6, 1], [10, 4]], 103/2880000], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/81000], [[[1, 1], [2, 6], [6, 3], [14, 2]], 23/508032], [[[1, 1], [2, 6], [6, 3], [18, 2]], 7/93312], [[[1, 1], [2, 6], [6, 5], [10, 2]], 1/1166400], [[[1, 1], [2, 6], [6, 6], [14, 1]], 1/489888], [[[1, 1], [2, 6], [6, 6], [18, 1]], 1/209952], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/21000], [[[1, 1], [2, 8], [3, 1], [6, 7]], 1/314928], [[[1, 1], [2, 8], [4, 1], [6, 7]], 1/1259712], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/8957952], [[[1, 1], [2, 8], [4, 2], [10, 3]], 13/15360000], [[[1, 1], [2, 8], [4, 2], [14, 2]], 1/200704], [[[1, 1], [2, 8], [4, 3], [6, 5]], 1/5971968], [[[1, 1], [2, 8], [5, 1], [10, 3]], 193/46080000], [[[1, 1], [2, 8], [5, 2], [10, 2]], 31/18432000], [[[1, 1], [2, 8], [5, 3], [10, 1]], 1/46080000], [[[1, 1], [2, 8], [6, 2], [10, 3]], 133/2160000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 131/3870720], [[[1, 1], [2, 8], [6, 2], [18, 2]], 31/14929920], [[[1, 1], [2, 8], [6, 4], [10, 2]], 239/9331200], [[[1, 1], [2, 8], [6, 5], [14, 1]], 17/1306368], [[[1, 1], [2, 8], [6, 5], [18, 1]], 35/1679616], [[[1, 1], [2, 8], [6, 6], [8, 1]], 1/3359232], [[[1, 1], [2, 8], [6, 6], [10, 1]], 7/2099520], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/1920000], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/225792], [[[1, 1], [2, 8], [10, 1], [14, 2]], 1/20160], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/419904], [[[1, 1], [2, 10], [4, 1], [6, 6]], 13/10077696], [[[1, 1], [2, 10], [4, 1], [10, 3]], 79/30720000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 1/387072], [[[1, 1], [2, 10], [4, 2], [6, 5]], 1/3981312], [[[1, 1], [2, 10], [4, 3], [6, 4]], 11/47775744], [[[1, 1], [2, 10], [4, 3], [10, 2]], 13/73728000], [[[1, 1], [2, 10], [6, 1], [10, 3]], 2251/120960000], [[[1, 1], [2, 10], [6, 1], [14, 2]], 277/40642560], [[[1, 1], [2, 10], [6, 3], [10, 2]], 171709/5225472000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 6911/731566080], [[[1, 1], [2, 10], [6, 4], [18, 1]], 6733/940584960], [[[1, 1], [2, 10], [6, 5], [8, 1]], 1/4478976], [[[1, 1], [2, 10], [6, 5], [10, 1]], 73/6998400], [[[1, 1], [2, 10], [10, 2], [14, 1]], 1361/96768000], [[[1, 1], [2, 12], [3, 1], [6, 5]], 1067/1881169920], [[[1, 1], [2, 12], [4, 1], [6, 5]], 4609/7524679680], [[[1, 1], [2, 12], [4, 2], [6, 4]], 653/6688604160], [[[1, 1], [2, 12], [4, 2], [8, 2]], 1/3715891200], [[[1, 1], [2, 12], [4, 2], [10, 2]], 487/7741440000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 23/334430208], [[[1, 1], [2, 12], [4, 3], [14, 1]], 1/61931520], [[[1, 1], [2, 12], [5, 1], [10, 2]], 29/11612160000], [[[1, 1], [2, 12], [6, 2], [10, 2]], 153167/29859840000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 180853/87787929600], [[[1, 1], [2, 12], [6, 3], [18, 1]], 17693/37623398400], [[[1, 1], [2, 12], [6, 4], [8, 1]], 121/2508226560], [[[1, 1], [2, 12], [6, 4], [10, 1]], 6511/1567641600], [[[1, 1], [2, 12], [8, 1], [10, 2]], 253/11612160000], [[[1, 1], [2, 14], [3, 1], [6, 4]], 37/806215680], [[[1, 1], [2, 14], [4, 1], [6, 4]], 2687/25798901760], [[[1, 1], [2, 14], [4, 1], [10, 2]], 7943/278691840000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 229/25082265600], [[[1, 1], [2, 14], [4, 2], [14, 1]], 17/26011238400], [[[1, 1], [2, 14], [4, 3], [6, 2]], 451/133772083200], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1/29727129600], [[[1, 1], [2, 14], [4, 3], [10, 1]], 43/37158912000], [[[1, 1], [2, 14], [6, 1], [10, 2]], 4981/26127360000], [[[1, 1], [2, 14], [6, 2], [14, 1]], 17/149299200], [[[1, 1], [2, 14], [6, 2], [18, 1]], 13/1881169920], [[[1, 1], [2, 14], [6, 3], [8, 1]], 13/5374771200], [[[1, 1], [2, 14], [6, 3], [10, 1]], 41203/94058496000], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/9754214400], [[[1, 1], [2, 14], [10, 1], [14, 1]], 47/1741824000], [[[1, 1], [2, 16], [3, 1], [6, 3]], 4927/4213820620800], [[[1, 1], [2, 16], [4, 1], [6, 3]], 31637/6320730931200], [[[1, 1], [2, 16], [4, 1], [14, 1]], 1/6688604160], [[[1, 1], [2, 16], [4, 2], [6, 2]], 1/3853516800], [[[1, 1], [2, 16], [4, 2], [8, 1]], 1/668860416000], [[[1, 1], [2, 16], [4, 2], [10, 1]], 29/557383680000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 1/19110297600], [[[1, 1], [2, 16], [5, 1], [10, 1]], 1/3344302080000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 923/585252864000], [[[1, 1], [2, 16], [6, 1], [18, 1]], 19/752467968000], [[[1, 1], [2, 16], [6, 2], [8, 1]], 31/702303436800], [[[1, 1], [2, 16], [6, 2], [10, 1]], 258301/17557585920000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/139345920000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 389/42138206208000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 15481/168552824832000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 29/120394874880000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 29/2229534720000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 23/9364045824000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 1/3511517184000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 11363/70230343680000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/2528292372480000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 113/5056584744960000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 197/316036546560000], [[[1, 1], [4, 2], [12, 1], [20, 2]], 1/1200], [[[1, 1], [4, 2], [12, 2], [28, 1]], 1/504], [[[1, 1], [4, 2], [12, 2], [36, 1]], 1/216], [[[1, 1], [4, 4], [12, 1], [28, 1]], 17/16128], [[[1, 1], [4, 4], [12, 1], [36, 1]], 1/6912], [[[1, 1], [4, 4], [12, 2], [20, 1]], 1/720], [[[1, 1], [4, 6], [12, 1], [20, 1]], 13/115200], [[[1, 2], [2, 1], [3, 1], [4, 10]], 1/348364800], [[[1, 2], [2, 1], [4, 3], [20, 2]], 1/2560], [[[1, 2], [2, 1], [4, 5], [12, 3]], 29/41472], [[[1, 2], [2, 1], [4, 5], [28, 1]], 1/1792], [[[1, 2], [2, 1], [4, 7], [12, 2]], 67/552960], [[[1, 2], [2, 1], [4, 7], [20, 1]], 1/18432], [[[1, 2], [2, 1], [4, 9], [5, 1]], 1/145152000], [[[1, 2], [2, 1], [4, 9], [8, 1]], 71/154828800], [[[1, 2], [2, 1], [4, 9], [10, 1]], 1/145152000], [[[1, 2], [2, 1], [4, 9], [12, 1]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 9]], 1/298598400], [[[1, 2], [2, 3], [3, 2], [10, 4]], 1/720000], [[[1, 2], [2, 3], [4, 2], [5, 4]], 1/2560000], [[[1, 2], [2, 3], [4, 2], [10, 4]], 3/2560000], [[[1, 2], [2, 3], [4, 2], [20, 2]], 13/25600], [[[1, 2], [2, 3], [4, 4], [12, 3]], 37/82944], [[[1, 2], [2, 3], [4, 4], [28, 1]], 43/21504], [[[1, 2], [2, 3], [4, 6], [8, 2]], 7/245760], [[[1, 2], [2, 3], [4, 6], [12, 2]], 139/221184], [[[1, 2], [2, 3], [4, 6], [20, 1]], 41/102400], [[[1, 2], [2, 3], [4, 8], [5, 1]], 1/3225600], [[[1, 2], [2, 3], [4, 8], [8, 1]], 143/10321920], [[[1, 2], [2, 3], [4, 8], [10, 1]], 1/3225600], [[[1, 2], [2, 3], [4, 8], [12, 1]], 349/7741440], [[[1, 2], [2, 3], [4, 9], [6, 1]], 31/232243200], [[[1, 2], [2, 3], [5, 1], [10, 4]], 11/200000], [[[1, 2], [2, 3], [5, 2], [10, 3]], 1/8000], [[[1, 2], [2, 3], [5, 3], [10, 2]], 7/40000], [[[1, 2], [2, 3], [5, 4], [6, 2]], 1/720000], [[[1, 2], [2, 3], [5, 4], [10, 1]], 1/200000], [[[1, 2], [2, 3], [8, 1], [10, 4]], 1/320000], [[[1, 2], [2, 5], [3, 1], [4, 8]], 1/46448640], [[[1, 2], [2, 5], [3, 1], [10, 4]], 1/960000], [[[1, 2], [2, 5], [4, 1], [10, 4]], 121/3840000], [[[1, 2], [2, 5], [4, 1], [20, 2]], 7/256000], [[[1, 2], [2, 5], [4, 3], [8, 3]], 3/16384], [[[1, 2], [2, 5], [4, 3], [10, 3]], 3/512000], [[[1, 2], [2, 5], [4, 3], [12, 3]], 7/829440], [[[1, 2], [2, 5], [4, 3], [28, 1]], 3/8960], [[[1, 2], [2, 5], [4, 5], [8, 2]], 1/24576], [[[1, 2], [2, 5], [4, 5], [12, 2]], 137/2211840], [[[1, 2], [2, 5], [4, 5], [20, 1]], 671/9216000], [[[1, 2], [2, 5], [4, 7], [8, 1]], 5/1769472], [[[1, 2], [2, 5], [4, 7], [12, 1]], 11/1843200], [[[1, 2], [2, 5], [4, 8], [6, 1]], 29/15482880], [[[1, 2], [2, 5], [5, 4], [6, 1]], 1/2880000], [[[1, 2], [2, 5], [6, 1], [10, 4]], 19/960000], [[[1, 2], [2, 5], [6, 3], [10, 3]], 1/216000], [[[1, 2], [2, 5], [6, 3], [14, 2]], 1/24192], [[[1, 2], [2, 5], [6, 3], [18, 2]], 1/10368], [[[1, 2], [2, 5], [10, 3], [14, 1]], 1/28000], [[[1, 2], [2, 7], [3, 1], [6, 7]], 1/314928], [[[1, 2], [2, 7], [3, 2], [6, 6]], 95/3779136], [[[1, 2], [2, 7], [3, 2], [7, 2]], 1/81285120], [[[1, 2], [2, 7], [3, 2], [9, 2]], 1/14929920], [[[1, 2], [2, 7], [3, 2], [10, 3]], 1/4320000], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/508032], [[[1, 2], [2, 7], [4, 1], [6, 7]], 1/1259712], [[[1, 2], [2, 7], [4, 2], [6, 6]], 5/2985984], [[[1, 2], [2, 7], [4, 2], [10, 3]], 197/3840000], [[[1, 2], [2, 7], [4, 2], [14, 2]], 5/301056], [[[1, 2], [2, 7], [4, 2], [28, 1]], 1/215040], [[[1, 2], [2, 7], [4, 3], [6, 5]], 1/1990656], [[[1, 2], [2, 7], [4, 4], [6, 4]], 1/5308416], [[[1, 2], [2, 7], [4, 4], [8, 2]], 5/393216], [[[1, 2], [2, 7], [4, 4], [10, 2]], 1/327680], [[[1, 2], [2, 7], [4, 4], [12, 2]], 7/2211840], [[[1, 2], [2, 7], [4, 4], [20, 1]], 17/1843200], [[[1, 2], [2, 7], [4, 6], [8, 1]], 19/11059200], [[[1, 2], [2, 7], [4, 6], [12, 1]], 13/5529600], [[[1, 2], [2, 7], [5, 1], [6, 6]], 1/2099520], [[[1, 2], [2, 7], [5, 1], [10, 3]], 10907/230400000], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/141120], [[[1, 2], [2, 7], [5, 2], [10, 2]], 113/9216000], [[[1, 2], [2, 7], [5, 3], [10, 1]], 31/46080000], [[[1, 2], [2, 7], [6, 2], [10, 3]], 11/144000], [[[1, 2], [2, 7], [6, 2], [14, 2]], 55/602112], [[[1, 2], [2, 7], [6, 2], [18, 2]], 5/331776], [[[1, 2], [2, 7], [6, 4], [10, 2]], 67/3110400], [[[1, 2], [2, 7], [6, 5], [14, 1]], 19/1306368], [[[1, 2], [2, 7], [6, 5], [18, 1]], 5/186624], [[[1, 2], [2, 7], [6, 6], [8, 1]], 1/3359232], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/699840], [[[1, 2], [2, 7], [8, 1], [10, 3]], 11/1920000], [[[1, 2], [2, 7], [8, 1], [14, 2]], 1/32256], [[[1, 2], [2, 7], [10, 1], [14, 2]], 1/9408], [[[1, 2], [2, 9], [3, 1], [6, 6]], 169/10077696], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/5760000], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/677376], [[[1, 2], [2, 9], [3, 2], [6, 5]], 127/10077696], [[[1, 2], [2, 9], [4, 1], [6, 6]], 67/10077696], [[[1, 2], [2, 9], [4, 1], [10, 3]], 2779/92160000], [[[1, 2], [2, 9], [4, 1], [14, 2]], 67/2709504], [[[1, 2], [2, 9], [4, 2], [6, 5]], 29/5971968], [[[1, 2], [2, 9], [4, 3], [6, 4]], 25/15925248], [[[1, 2], [2, 9], [4, 3], [8, 2]], 1/2949120], [[[1, 2], [2, 9], [4, 3], [10, 2]], 29/12288000], [[[1, 2], [2, 9], [4, 4], [6, 3]], 1/1769472], [[[1, 2], [2, 9], [4, 4], [14, 1]], 1/1376256], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/2799360], [[[1, 2], [2, 9], [6, 1], [10, 3]], 59/960000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 151/4515840], [[[1, 2], [2, 9], [6, 3], [10, 2]], 19939/248832000], [[[1, 2], [2, 9], [6, 4], [14, 1]], 3443/104509440], [[[1, 2], [2, 9], [6, 4], [18, 1]], 481/14929920], [[[1, 2], [2, 9], [6, 5], [8, 1]], 7/4478976], [[[1, 2], [2, 9], [6, 5], [10, 1]], 1/51840], [[[1, 2], [2, 9], [10, 2], [14, 1]], 1909/32256000], [[[1, 2], [2, 11], [3, 1], [6, 5]], 14857/1881169920], [[[1, 2], [2, 11], [3, 2], [6, 4]], 19169/11287019520], [[[1, 2], [2, 11], [3, 2], [10, 2]], 253/26127360000], [[[1, 2], [2, 11], [4, 1], [6, 5]], 49339/7524679680], [[[1, 2], [2, 11], [4, 2], [6, 4]], 11569/3344302080], [[[1, 2], [2, 11], [4, 2], [8, 2]], 409/7431782400], [[[1, 2], [2, 11], [4, 2], [10, 2]], 76073/30965760000], [[[1, 2], [2, 11], [4, 3], [6, 3]], 1/1146880], [[[1, 2], [2, 11], [4, 3], [14, 1]], 1/2949120], [[[1, 2], [2, 11], [4, 4], [6, 2]], 19/70778880], [[[1, 2], [2, 11], [4, 4], [8, 1]], 1/23592960], [[[1, 2], [2, 11], [4, 4], [10, 1]], 1/11796480], [[[1, 2], [2, 11], [5, 1], [6, 4]], 121/1567641600], [[[1, 2], [2, 11], [5, 1], [10, 2]], 389/2764800000], [[[1, 2], [2, 11], [6, 2], [10, 2]], 74191/2322432000], [[[1, 2], [2, 11], [6, 3], [14, 1]], 5639/418037760], [[[1, 2], [2, 11], [6, 3], [18, 1]], 43/9289728], [[[1, 2], [2, 11], [6, 4], [8, 1]], 1717/2508226560], [[[1, 2], [2, 11], [6, 4], [10, 1]], 683/32659200], [[[1, 2], [2, 11], [8, 1], [10, 2]], 2669/5806080000], [[[1, 2], [2, 13], [3, 1], [6, 4]], 24151/22574039040], [[[1, 2], [2, 13], [3, 1], [10, 2]], 253/34836480000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 9061/135444234240], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/21946982400], [[[1, 2], [2, 13], [4, 1], [6, 4]], 336761/180592312320], [[[1, 2], [2, 13], [4, 1], [8, 2]], 1/3715891200], [[[1, 2], [2, 13], [4, 1], [10, 2]], 14599/19906560000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 229/318504960], [[[1, 2], [2, 13], [4, 2], [14, 1]], 2369/26011238400], [[[1, 2], [2, 13], [4, 3], [6, 2]], 241/2786918400], [[[1, 2], [2, 13], [4, 3], [8, 1]], 79/29727129600], [[[1, 2], [2, 13], [4, 3], [10, 1]], 17/516096000], [[[1, 2], [2, 13], [4, 4], [6, 1]], 17/1486356480], [[[1, 2], [2, 13], [5, 1], [6, 3]], 13/3359232000], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/6096384000], [[[1, 2], [2, 13], [6, 1], [10, 2]], 154159/69672960000], [[[1, 2], [2, 13], [6, 2], [14, 1]], 78977/58525286400], [[[1, 2], [2, 13], [6, 2], [18, 1]], 77/597196800], [[[1, 2], [2, 13], [6, 3], [8, 1]], 1283/18811699200], [[[1, 2], [2, 13], [6, 3], [10, 1]], 530239/125411328000], [[[1, 2], [2, 13], [8, 1], [14, 1]], 1/199065600], [[[1, 2], [2, 13], [10, 1], [14, 1]], 2293/5419008000], [[[1, 2], [2, 15], [3, 1], [6, 3]], 567151/12641461862400], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/29262643200], [[[1, 2], [2, 15], [3, 2], [6, 2]], 9127/25282923724800], [[[1, 2], [2, 15], [3, 2], [10, 1]], 1/313528320000], [[[1, 2], [2, 15], [4, 1], [6, 3]], 494083/3160365465600], [[[1, 2], [2, 15], [4, 1], [14, 1]], 1751/234101145600], [[[1, 2], [2, 15], [4, 2], [6, 2]], 15343/468202291200], [[[1, 2], [2, 15], [4, 2], [8, 1]], 647/1337720832000], [[[1, 2], [2, 15], [4, 2], [10, 1]], 1201/139345920000], [[[1, 2], [2, 15], [4, 3], [6, 1]], 19/8918138880], [[[1, 2], [2, 15], [5, 1], [6, 2]], 31/438939648000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 143/4180377600000], [[[1, 2], [2, 15], [6, 1], [14, 1]], 7583/234101145600], [[[1, 2], [2, 15], [6, 1], [18, 1]], 1/1337720832], [[[1, 2], [2, 15], [6, 2], [8, 1]], 349/175575859200], [[[1, 2], [2, 15], [6, 2], [10, 1]], 13231/55738368000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 1/2488320000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 1/1003290624000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 5899/10534551552000], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/418037760000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 1/7900913664000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 183877/42138206208000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 67/3745618329600], [[[1, 2], [2, 17], [4, 1], [10, 1]], 1261/1672151040000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 571/1170505728000], [[[1, 2], [2, 17], [5, 1], [6, 1]], 1/2194698240000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 67/3511517184000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 47147/11705057280000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 13/361184624640000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 4909/2528292372480000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 26989/632073093120000], [[[1, 3], [2, 2], [3, 1], [4, 9]], 31/232243200], [[[1, 3], [2, 2], [3, 2], [10, 4]], 1/720000], [[[1, 3], [2, 2], [4, 2], [5, 4]], 3/2560000], [[[1, 3], [2, 2], [4, 2], [10, 4]], 1/2560000], [[[1, 3], [2, 2], [4, 2], [20, 2]], 13/25600], [[[1, 3], [2, 2], [4, 4], [12, 3]], 37/82944], [[[1, 3], [2, 2], [4, 4], [28, 1]], 43/21504], [[[1, 3], [2, 2], [4, 6], [8, 2]], 7/245760], [[[1, 3], [2, 2], [4, 6], [12, 2]], 139/221184], [[[1, 3], [2, 2], [4, 6], [20, 1]], 41/102400], [[[1, 3], [2, 2], [4, 8], [5, 1]], 1/3225600], [[[1, 3], [2, 2], [4, 8], [8, 1]], 143/10321920], [[[1, 3], [2, 2], [4, 8], [10, 1]], 1/3225600], [[[1, 3], [2, 2], [4, 8], [12, 1]], 349/7741440], [[[1, 3], [2, 2], [4, 9], [6, 1]], 1/298598400], [[[1, 3], [2, 2], [5, 1], [10, 4]], 1/200000], [[[1, 3], [2, 2], [5, 2], [10, 3]], 7/40000], [[[1, 3], [2, 2], [5, 3], [10, 2]], 1/8000], [[[1, 3], [2, 2], [5, 4], [6, 2]], 1/720000], [[[1, 3], [2, 2], [5, 4], [8, 1]], 1/320000], [[[1, 3], [2, 2], [5, 4], [10, 1]], 11/200000], [[[1, 3], [2, 4], [3, 1], [4, 8]], 1/6635520], [[[1, 3], [2, 4], [3, 1], [10, 4]], 1/320000], [[[1, 3], [2, 4], [4, 1], [5, 4]], 7/3840000], [[[1, 3], [2, 4], [4, 1], [10, 4]], 1/153600], [[[1, 3], [2, 4], [4, 1], [20, 2]], 1/9216], [[[1, 3], [2, 4], [4, 3], [5, 3]], 1/512000], [[[1, 3], [2, 4], [4, 3], [8, 3]], 9/16384], [[[1, 3], [2, 4], [4, 3], [10, 3]], 3/512000], [[[1, 3], [2, 4], [4, 3], [12, 3]], 25/746496], [[[1, 3], [2, 4], [4, 3], [28, 1]], 47/24192], [[[1, 3], [2, 4], [4, 5], [8, 2]], 11/24576], [[[1, 3], [2, 4], [4, 5], [12, 2]], 1573/1990656], [[[1, 3], [2, 4], [4, 5], [20, 1]], 509/552960], [[[1, 3], [2, 4], [4, 7], [5, 1]], 1/230400], [[[1, 3], [2, 4], [4, 7], [8, 1]], 199/1474560], [[[1, 3], [2, 4], [4, 7], [10, 1]], 1/230400], [[[1, 3], [2, 4], [4, 7], [12, 1]], 7541/34836480], [[[1, 3], [2, 4], [4, 8], [6, 1]], 31/15482880], [[[1, 3], [2, 4], [5, 4], [6, 1]], 7/2880000], [[[1, 3], [2, 4], [6, 1], [10, 4]], 1/960000], [[[1, 3], [2, 4], [6, 3], [14, 2]], 1/169344], [[[1, 3], [2, 4], [6, 3], [18, 2]], 1/31104], [[[1, 3], [2, 6], [3, 1], [4, 7]], 1/3317760], [[[1, 3], [2, 6], [3, 2], [6, 6]], 95/3779136], [[[1, 3], [2, 6], [3, 2], [7, 2]], 31/81285120], [[[1, 3], [2, 6], [3, 2], [9, 2]], 31/14929920], [[[1, 3], [2, 6], [3, 2], [10, 3]], 11/4320000], [[[1, 3], [2, 6], [3, 2], [14, 2]], 1/72576], [[[1, 3], [2, 6], [3, 3], [6, 5]], 7/104976], [[[1, 3], [2, 6], [4, 2], [6, 6]], 43/26873856], [[[1, 3], [2, 6], [4, 2], [8, 3]], 3/16384], [[[1, 3], [2, 6], [4, 2], [10, 3]], 27/320000], [[[1, 3], [2, 6], [4, 2], [14, 2]], 23/903168], [[[1, 3], [2, 6], [4, 2], [28, 1]], 1/10240], [[[1, 3], [2, 6], [4, 3], [6, 5]], 1/663552], [[[1, 3], [2, 6], [4, 4], [5, 2]], 1/1638400], [[[1, 3], [2, 6], [4, 4], [6, 4]], 1/1769472], [[[1, 3], [2, 6], [4, 4], [8, 2]], 101/393216], [[[1, 3], [2, 6], [4, 4], [10, 2]], 1/102400], [[[1, 3], [2, 6], [4, 4], [12, 2]], 107/2211840], [[[1, 3], [2, 6], [4, 4], [20, 1]], 79/614400], [[[1, 3], [2, 6], [4, 6], [8, 1]], 3/102400], [[[1, 3], [2, 6], [4, 6], [12, 1]], 173/5529600], [[[1, 3], [2, 6], [4, 7], [6, 1]], 11/1105920], [[[1, 3], [2, 6], [5, 1], [6, 6]], 1/2099520], [[[1, 3], [2, 6], [5, 1], [10, 3]], 9079/76800000], [[[1, 3], [2, 6], [5, 1], [14, 2]], 1/20160], [[[1, 3], [2, 6], [5, 2], [10, 2]], 4387/46080000], [[[1, 3], [2, 6], [5, 3], [10, 1]], 1/204800], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/28800], [[[1, 3], [2, 6], [6, 2], [14, 2]], 449/5419008], [[[1, 3], [2, 6], [6, 2], [18, 2]], 11/331776], [[[1, 3], [2, 6], [6, 4], [10, 2]], 17/3110400], [[[1, 3], [2, 6], [6, 5], [14, 1]], 5/1306368], [[[1, 3], [2, 6], [6, 5], [18, 1]], 5/559872], [[[1, 3], [2, 6], [8, 1], [10, 3]], 1/76800], [[[1, 3], [2, 6], [8, 1], [14, 2]], 5/75264], [[[1, 3], [2, 6], [10, 1], [14, 2]], 1/15680], [[[1, 3], [2, 8], [3, 1], [5, 3]], 1/138240000], [[[1, 3], [2, 8], [3, 1], [6, 6]], 73/3359232], [[[1, 3], [2, 8], [3, 1], [7, 2]], 1/27095040], [[[1, 3], [2, 8], [3, 1], [10, 3]], 13/5760000], [[[1, 3], [2, 8], [3, 1], [14, 2]], 1/75264], [[[1, 3], [2, 8], [3, 2], [6, 5]], 907/10077696], [[[1, 3], [2, 8], [3, 3], [6, 4]], 29/1679616], [[[1, 3], [2, 8], [4, 1], [5, 3]], 1/92160000], [[[1, 3], [2, 8], [4, 1], [6, 6]], 143/20155392], [[[1, 3], [2, 8], [4, 1], [10, 3]], 1501/18432000], [[[1, 3], [2, 8], [4, 1], [14, 2]], 17/193536], [[[1, 3], [2, 8], [4, 2], [6, 5]], 311/17915904], [[[1, 3], [2, 8], [4, 3], [6, 4]], 71/7962624], [[[1, 3], [2, 8], [4, 3], [8, 2]], 7/147456], [[[1, 3], [2, 8], [4, 3], [10, 2]], 351/8192000], [[[1, 3], [2, 8], [4, 3], [12, 2]], 1/2211840], [[[1, 3], [2, 8], [4, 3], [20, 1]], 1/614400], [[[1, 3], [2, 8], [4, 4], [6, 3]], 1/331776], [[[1, 3], [2, 8], [4, 4], [14, 1]], 1/196608], [[[1, 3], [2, 8], [4, 5], [6, 2]], 1/2359296], [[[1, 3], [2, 8], [4, 5], [8, 1]], 109/11796480], [[[1, 3], [2, 8], [4, 5], [10, 1]], 1/655360], [[[1, 3], [2, 8], [4, 5], [12, 1]], 1/368640], [[[1, 3], [2, 8], [5, 1], [6, 5]], 7/2799360], [[[1, 3], [2, 8], [5, 2], [7, 1]], 1/64512000], [[[1, 3], [2, 8], [6, 1], [10, 3]], 19/240000], [[[1, 3], [2, 8], [6, 1], [14, 2]], 199/2709504], [[[1, 3], [2, 8], [6, 3], [10, 2]], 433/5529600], [[[1, 3], [2, 8], [6, 4], [14, 1]], 841/20901888], [[[1, 3], [2, 8], [6, 4], [18, 1]], 49/995328], [[[1, 3], [2, 8], [6, 5], [8, 1]], 1/497664], [[[1, 3], [2, 8], [6, 5], [10, 1]], 1/77760], [[[1, 3], [2, 8], [10, 2], [14, 1]], 41/430080], [[[1, 3], [2, 10], [3, 1], [6, 5]], 209/5971968], [[[1, 3], [2, 10], [3, 2], [6, 4]], 278519/11287019520], [[[1, 3], [2, 10], [3, 2], [10, 2]], 2669/13063680000], [[[1, 3], [2, 10], [3, 3], [6, 3]], 179/156764160], [[[1, 3], [2, 10], [4, 1], [6, 5]], 4681/214990848], [[[1, 3], [2, 10], [4, 2], [5, 2]], 1/294912000], [[[1, 3], [2, 10], [4, 2], [6, 4]], 253217/10032906240], [[[1, 3], [2, 10], [4, 2], [8, 2]], 2051/1061683200], [[[1, 3], [2, 10], [4, 2], [10, 2]], 83789/2903040000], [[[1, 3], [2, 10], [4, 3], [6, 3]], 5491/557383680], [[[1, 3], [2, 10], [4, 3], [14, 1]], 17/2949120], [[[1, 3], [2, 10], [4, 4], [6, 2]], 91/35389440], [[[1, 3], [2, 10], [4, 4], [8, 1]], 7/7864320], [[[1, 3], [2, 10], [4, 4], [10, 1]], 13/9830400], [[[1, 3], [2, 10], [4, 5], [6, 1]], 1/2359296], [[[1, 3], [2, 10], [5, 1], [6, 4]], 1717/1567641600], [[[1, 3], [2, 10], [5, 1], [10, 2]], 63727/29030400000], [[[1, 3], [2, 10], [5, 2], [10, 1]], 323/11612160000], [[[1, 3], [2, 10], [6, 2], [10, 2]], 36833/464486400], [[[1, 3], [2, 10], [6, 3], [14, 1]], 38593/975421440], [[[1, 3], [2, 10], [6, 3], [18, 1]], 8101/418037760], [[[1, 3], [2, 10], [6, 4], [8, 1]], 61/19906560], [[[1, 3], [2, 10], [6, 4], [10, 1]], 1517/37324800], [[[1, 3], [2, 10], [8, 1], [10, 2]], 19/5734400], [[[1, 3], [2, 12], [3, 1], [6, 4]], 4555/501645312], [[[1, 3], [2, 12], [3, 1], [10, 2]], 487/2903040000], [[[1, 3], [2, 12], [3, 2], [6, 3]], 223297/135444234240], [[[1, 3], [2, 12], [3, 2], [14, 1]], 1/447897600], [[[1, 3], [2, 12], [3, 3], [6, 2]], 31/9405849600], [[[1, 3], [2, 12], [4, 1], [6, 4]], 181193/15049359360], [[[1, 3], [2, 12], [4, 1], [8, 2]], 47/3715891200], [[[1, 3], [2, 12], [4, 1], [10, 2]], 380143/55738368000], [[[1, 3], [2, 12], [4, 2], [6, 3]], 175213/18811699200], [[[1, 3], [2, 12], [4, 2], [14, 1]], 29069/15606743040], [[[1, 3], [2, 12], [4, 3], [6, 2]], 12349/4954521600], [[[1, 3], [2, 12], [4, 3], [8, 1]], 37/132710400], [[[1, 3], [2, 12], [4, 3], [10, 1]], 10973/12386304000], [[[1, 3], [2, 12], [4, 4], [6, 1]], 41/165150720], [[[1, 3], [2, 12], [5, 1], [6, 3]], 1283/11757312000], [[[1, 3], [2, 12], [5, 1], [14, 1]], 1/124416000], [[[1, 3], [2, 12], [6, 1], [10, 2]], 205679/17418240000], [[[1, 3], [2, 12], [6, 2], [14, 1]], 111241/14631321600], [[[1, 3], [2, 12], [6, 2], [18, 1]], 3473/3135283200], [[[1, 3], [2, 12], [6, 3], [8, 1]], 179/278691840], [[[1, 3], [2, 12], [6, 3], [10, 1]], 38657/2090188800], [[[1, 3], [2, 12], [8, 1], [14, 1]], 271/3251404800], [[[1, 3], [2, 12], [10, 1], [14, 1]], 11/3612672], [[[1, 3], [2, 14], [3, 1], [4, 3]], 1/1486356480], [[[1, 3], [2, 14], [3, 1], [6, 3]], 388831/601974374400], [[[1, 3], [2, 14], [3, 1], [14, 1]], 17/9754214400], [[[1, 3], [2, 14], [3, 2], [6, 2]], 474109/25282923724800], [[[1, 3], [2, 14], [3, 2], [10, 1]], 1/5598720000], [[[1, 3], [2, 14], [3, 3], [6, 1]], 1/75246796800], [[[1, 3], [2, 14], [4, 1], [6, 3]], 229457/128994508800], [[[1, 3], [2, 14], [4, 1], [14, 1]], 4499/33443020800], [[[1, 3], [2, 14], [4, 2], [6, 2]], 2236421/2809213747200], [[[1, 3], [2, 14], [4, 2], [8, 1]], 653/29727129600], [[[1, 3], [2, 14], [4, 2], [10, 1]], 44831/185794560000], [[[1, 3], [2, 14], [4, 3], [6, 1]], 4391/44590694400], [[[1, 3], [2, 14], [5, 1], [6, 2]], 349/109734912000], [[[1, 3], [2, 14], [5, 1], [10, 1]], 3667/2786918400000], [[[1, 3], [2, 14], [6, 1], [14, 1]], 38041/117050572800], [[[1, 3], [2, 14], [6, 1], [18, 1]], 37/3344302080], [[[1, 3], [2, 14], [6, 2], [8, 1]], 37/1114767360], [[[1, 3], [2, 14], [6, 2], [10, 1]], 31/16515072], [[[1, 3], [2, 14], [8, 1], [10, 1]], 23/2786918400], [[[1, 3], [2, 16], [3, 1], [4, 2]], 61/1003290624000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 30589/2341011456000], [[[1, 3], [2, 16], [3, 1], [10, 1]], 29/209018880000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 1/1504935936000], [[[1, 3], [2, 16], [3, 2], [6, 1]], 583/31603654656000], [[[1, 3], [2, 16], [4, 1], [5, 1]], 1/418037760000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 965893/12039487488000], [[[1, 3], [2, 16], [4, 1], [8, 1]], 7057/12485394432000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 11189/668860416000], [[[1, 3], [2, 16], [4, 2], [6, 1]], 130003/7023034368000], [[[1, 3], [2, 16], [5, 1], [6, 1]], 67/2194698240000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 97/195084288000], [[[1, 3], [2, 16], [6, 1], [10, 1]], 86089/1672151040000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 103/56184274944000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 7657/112368549888000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 7879/6742112993280], [[[1, 3], [3, 1], [4, 2], [20, 2]], 1/4800], [[[1, 3], [3, 1], [4, 4], [12, 3]], 1/15552], [[[1, 3], [3, 1], [4, 4], [28, 1]], 1/4032], [[[1, 3], [3, 1], [4, 6], [12, 2]], 1/41472], [[[1, 3], [3, 1], [4, 6], [20, 1]], 1/57600], [[[1, 3], [3, 1], [4, 8], [12, 1]], 1/1451520], [[[1, 3], [4, 1], [5, 4], [8, 1]], 1/320000], [[[1, 3], [4, 1], [8, 1], [20, 2]], 1/6400], [[[1, 3], [4, 3], [8, 1], [12, 3]], 1/20736], [[[1, 3], [4, 3], [8, 1], [28, 1]], 1/5376], [[[1, 3], [4, 5], [8, 1], [12, 2]], 1/55296], [[[1, 3], [4, 5], [8, 1], [20, 1]], 1/76800], [[[1, 3], [4, 7], [8, 1], [12, 1]], 1/1935360], [[[1, 4], [2, 1], [3, 1], [4, 9]], 13/99532800], [[[1, 4], [2, 1], [3, 2], [5, 4]], 1/720000], [[[1, 4], [2, 1], [3, 4], [7, 2]], 1/127008], [[[1, 4], [2, 1], [3, 4], [9, 2]], 1/23328], [[[1, 4], [2, 1], [4, 2], [5, 4]], 3/2560000], [[[1, 4], [2, 1], [4, 2], [20, 2]], 13/153600], [[[1, 4], [2, 1], [4, 4], [12, 3]], 13/497664], [[[1, 4], [2, 1], [4, 4], [28, 1]], 13/129024], [[[1, 4], [2, 1], [4, 6], [8, 2]], 1/368640], [[[1, 4], [2, 1], [4, 6], [12, 2]], 13/1327104], [[[1, 4], [2, 1], [4, 6], [20, 1]], 13/1843200], [[[1, 4], [2, 1], [4, 8], [8, 1]], 1/10321920], [[[1, 4], [2, 1], [4, 8], [12, 1]], 13/46448640], [[[1, 4], [2, 1], [4, 9], [6, 1]], 1/2090188800], [[[1, 4], [2, 1], [5, 2], [10, 3]], 1/20000], [[[1, 4], [2, 1], [5, 3], [10, 2]], 1/8000], [[[1, 4], [2, 1], [5, 4], [8, 1]], 1/320000], [[[1, 4], [2, 1], [5, 4], [10, 1]], 1/20000], [[[1, 4], [2, 3], [3, 1], [4, 8]], 31/15482880], [[[1, 4], [2, 3], [3, 1], [5, 4]], 1/960000], [[[1, 4], [2, 3], [3, 1], [10, 4]], 7/2880000], [[[1, 4], [2, 3], [3, 3], [7, 2]], 1/169344], [[[1, 4], [2, 3], [3, 3], [9, 2]], 1/31104], [[[1, 4], [2, 3], [4, 1], [5, 4]], 1/153600], [[[1, 4], [2, 3], [4, 1], [10, 4]], 7/3840000], [[[1, 4], [2, 3], [4, 1], [20, 2]], 1/9216], [[[1, 4], [2, 3], [4, 3], [5, 3]], 3/512000], [[[1, 4], [2, 3], [4, 3], [8, 3]], 9/16384], [[[1, 4], [2, 3], [4, 3], [10, 3]], 1/512000], [[[1, 4], [2, 3], [4, 3], [12, 3]], 25/746496], [[[1, 4], [2, 3], [4, 3], [28, 1]], 47/24192], [[[1, 4], [2, 3], [4, 5], [8, 2]], 11/24576], [[[1, 4], [2, 3], [4, 5], [12, 2]], 1573/1990656], [[[1, 4], [2, 3], [4, 5], [20, 1]], 509/552960], [[[1, 4], [2, 3], [4, 7], [5, 1]], 1/230400], [[[1, 4], [2, 3], [4, 7], [8, 1]], 199/1474560], [[[1, 4], [2, 3], [4, 7], [10, 1]], 1/230400], [[[1, 4], [2, 3], [4, 7], [12, 1]], 7541/34836480], [[[1, 4], [2, 3], [4, 8], [6, 1]], 1/6635520], [[[1, 4], [2, 3], [5, 4], [6, 1]], 1/320000], [[[1, 4], [2, 5], [3, 1], [4, 7]], 7/3317760], [[[1, 4], [2, 5], [3, 2], [7, 2]], 5/1806336], [[[1, 4], [2, 5], [3, 2], [9, 2]], 5/331776], [[[1, 4], [2, 5], [3, 2], [10, 3]], 1/172800], [[[1, 4], [2, 5], [3, 2], [14, 2]], 5/169344], [[[1, 4], [2, 5], [3, 3], [6, 5]], 7/104976], [[[1, 4], [2, 5], [3, 4], [4, 4]], 1/5308416], [[[1, 4], [2, 5], [3, 4], [6, 4]], 1/46656], [[[1, 4], [2, 5], [4, 2], [5, 3]], 31/3072000], [[[1, 4], [2, 5], [4, 2], [7, 2]], 1/200704], [[[1, 4], [2, 5], [4, 2], [8, 3]], 9/16384], [[[1, 4], [2, 5], [4, 2], [10, 3]], 9/204800], [[[1, 4], [2, 5], [4, 2], [14, 2]], 11/602112], [[[1, 4], [2, 5], [4, 2], [28, 1]], 25/64512], [[[1, 4], [2, 5], [4, 3], [6, 5]], 7/5971968], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/204800], [[[1, 4], [2, 5], [4, 4], [6, 4]], 1/1769472], [[[1, 4], [2, 5], [4, 4], [8, 2]], 81/65536], [[[1, 4], [2, 5], [4, 4], [10, 2]], 9/819200], [[[1, 4], [2, 5], [4, 4], [12, 2]], 167/663552], [[[1, 4], [2, 5], [4, 4], [20, 1]], 401/552960], [[[1, 4], [2, 5], [4, 6], [5, 1]], 1/46080], [[[1, 4], [2, 5], [4, 6], [8, 1]], 619/1327104], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1/46080], [[[1, 4], [2, 5], [4, 6], [12, 1]], 31/82944], [[[1, 4], [2, 5], [4, 7], [6, 1]], 13/1105920], [[[1, 4], [2, 5], [5, 1], [10, 3]], 289/3072000], [[[1, 4], [2, 5], [5, 1], [14, 2]], 1/9408], [[[1, 4], [2, 5], [5, 2], [10, 2]], 121/640000], [[[1, 4], [2, 5], [5, 3], [6, 2]], 1/288000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 119/5120000], [[[1, 4], [2, 5], [6, 2], [7, 2]], 1/56448], [[[1, 4], [2, 5], [6, 2], [10, 3]], 1/288000], [[[1, 4], [2, 5], [6, 2], [14, 2]], 43/1806336], [[[1, 4], [2, 5], [6, 2], [18, 2]], 11/331776], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/15680], [[[1, 4], [2, 5], [8, 1], [10, 3]], 1/128000], [[[1, 4], [2, 5], [8, 1], [14, 2]], 1/25088], [[[1, 4], [2, 7], [3, 1], [4, 6]], 1/663552], [[[1, 4], [2, 7], [3, 1], [5, 3]], 1/4320000], [[[1, 4], [2, 7], [3, 1], [6, 6]], 223/30233088], [[[1, 4], [2, 7], [3, 1], [7, 2]], 47/40642560], [[[1, 4], [2, 7], [3, 1], [10, 3]], 71/8640000], [[[1, 4], [2, 7], [3, 1], [14, 2]], 11/254016], [[[1, 4], [2, 7], [3, 2], [4, 5]], 1/2359296], [[[1, 4], [2, 7], [3, 2], [6, 5]], 133/1119744], [[[1, 4], [2, 7], [3, 3], [5, 2]], 1/746496000], [[[1, 4], [2, 7], [3, 3], [6, 4]], 115/839808], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/186624], [[[1, 4], [2, 7], [3, 4], [7, 1]], 1/313528320], [[[1, 4], [2, 7], [3, 4], [9, 1]], 1/134369280], [[[1, 4], [2, 7], [4, 1], [5, 3]], 31/92160000], [[[1, 4], [2, 7], [4, 1], [6, 6]], 35/20155392], [[[1, 4], [2, 7], [4, 1], [10, 3]], 6863/92160000], [[[1, 4], [2, 7], [4, 1], [14, 2]], 191/1354752], [[[1, 4], [2, 7], [4, 2], [6, 5]], 541/35831808], [[[1, 4], [2, 7], [4, 3], [5, 2]], 1/327680], [[[1, 4], [2, 7], [4, 3], [6, 4]], 469/23887872], [[[1, 4], [2, 7], [4, 3], [8, 2]], 143/368640], [[[1, 4], [2, 7], [4, 3], [10, 2]], 1987/18432000], [[[1, 4], [2, 7], [4, 3], [12, 2]], 7/737280], [[[1, 4], [2, 7], [4, 3], [20, 1]], 7/204800], [[[1, 4], [2, 7], [4, 4], [6, 3]], 7/884736], [[[1, 4], [2, 7], [4, 4], [7, 1]], 1/458752], [[[1, 4], [2, 7], [4, 4], [14, 1]], 3/229376], [[[1, 4], [2, 7], [4, 5], [5, 1]], 1/655360], [[[1, 4], [2, 7], [4, 5], [6, 2]], 1/589824], [[[1, 4], [2, 7], [4, 5], [8, 1]], 209/1966080], [[[1, 4], [2, 7], [4, 5], [10, 1]], 1/163840], [[[1, 4], [2, 7], [4, 5], [12, 1]], 43/1105920], [[[1, 4], [2, 7], [4, 6], [6, 1]], 1/55296], [[[1, 4], [2, 7], [5, 1], [6, 5]], 1/311040], [[[1, 4], [2, 7], [5, 2], [7, 1]], 47/96768000], [[[1, 4], [2, 7], [5, 3], [6, 1]], 1/1152000], [[[1, 4], [2, 7], [6, 1], [7, 2]], 1/225792], [[[1, 4], [2, 7], [6, 1], [10, 3]], 21/512000], [[[1, 4], [2, 7], [6, 1], [14, 2]], 11/150528], [[[1, 4], [2, 7], [6, 3], [10, 2]], 173/5529600], [[[1, 4], [2, 7], [6, 4], [14, 1]], 127/6967296], [[[1, 4], [2, 7], [6, 4], [18, 1]], 29/995328], [[[1, 4], [2, 7], [6, 5], [8, 1]], 1/1492992], [[[1, 4], [2, 7], [6, 5], [10, 1]], 1/373248], [[[1, 4], [2, 7], [10, 2], [14, 1]], 59/1075200], [[[1, 4], [2, 9], [3, 1], [6, 5]], 8569/161243136], [[[1, 4], [2, 9], [3, 2], [5, 2]], 1/132710400], [[[1, 4], [2, 9], [3, 2], [6, 4]], 4133/35831808], [[[1, 4], [2, 9], [3, 2], [10, 2]], 19/12902400], [[[1, 4], [2, 9], [3, 3], [6, 3]], 2993/156764160], [[[1, 4], [2, 9], [3, 3], [7, 1]], 1/278691840], [[[1, 4], [2, 9], [3, 3], [9, 1]], 1/119439360], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/955514880], [[[1, 4], [2, 9], [3, 4], [6, 2]], 11/59719680], [[[1, 4], [2, 9], [4, 1], [6, 5]], 5503/214990848], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/8192000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 45041/716636160], [[[1, 4], [2, 9], [4, 2], [8, 2]], 1667/82575360], [[[1, 4], [2, 9], [4, 2], [10, 2]], 65297/619315200], [[[1, 4], [2, 9], [4, 3], [6, 3]], 18787/418037760], [[[1, 4], [2, 9], [4, 3], [14, 1]], 59/1769472], [[[1, 4], [2, 9], [4, 4], [6, 2]], 349/23592960], [[[1, 4], [2, 9], [4, 4], [8, 1]], 161/5898240], [[[1, 4], [2, 9], [4, 4], [10, 1]], 383/19660800], [[[1, 4], [2, 9], [4, 4], [12, 1]], 1/2211840], [[[1, 4], [2, 9], [4, 5], [6, 1]], 7/2359296], [[[1, 4], [2, 9], [5, 1], [6, 4]], 61/12441600], [[[1, 4], [2, 9], [5, 1], [10, 2]], 1853/129024000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 10343/11612160000], [[[1, 4], [2, 9], [6, 2], [10, 2]], 4979/55296000], [[[1, 4], [2, 9], [6, 3], [14, 1]], 137/2580480], [[[1, 4], [2, 9], [6, 3], [18, 1]], 353/9953280], [[[1, 4], [2, 9], [6, 4], [8, 1]], 55/11943936], [[[1, 4], [2, 9], [6, 4], [10, 1]], 29/829440], [[[1, 4], [2, 9], [8, 1], [10, 2]], 89/9216000], [[[1, 4], [2, 11], [3, 1], [4, 4]], 1/17694720], [[[1, 4], [2, 11], [3, 1], [6, 4]], 779347/22574039040], [[[1, 4], [2, 11], [3, 1], [10, 2]], 73853/52254720000], [[[1, 4], [2, 11], [3, 2], [4, 3]], 1/424673280], [[[1, 4], [2, 11], [3, 2], [6, 3]], 38093/2508226560], [[[1, 4], [2, 11], [3, 2], [14, 1]], 271/7315660800], [[[1, 4], [2, 11], [3, 3], [6, 2]], 17483/75246796800], [[[1, 4], [2, 11], [4, 1], [5, 2]], 1/884736000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 517787/15049359360], [[[1, 4], [2, 11], [4, 1], [8, 2]], 103/530841600], [[[1, 4], [2, 11], [4, 1], [10, 2]], 992659/34836480000], [[[1, 4], [2, 11], [4, 2], [6, 3]], 13133/286654464], [[[1, 4], [2, 11], [4, 2], [7, 1]], 1/82575360], [[[1, 4], [2, 11], [4, 2], [14, 1]], 178453/13005619200], [[[1, 4], [2, 11], [4, 3], [5, 1]], 1/117964800], [[[1, 4], [2, 11], [4, 3], [6, 2]], 182881/8360755200], [[[1, 4], [2, 11], [4, 3], [8, 1]], 12953/2477260800], [[[1, 4], [2, 11], [4, 3], [10, 1]], 49661/4644864000], [[[1, 4], [2, 11], [4, 4], [6, 1]], 2099/495452160], [[[1, 4], [2, 11], [5, 1], [6, 3]], 179/174182400], [[[1, 4], [2, 11], [5, 1], [14, 1]], 271/2032128000], [[[1, 4], [2, 11], [6, 1], [10, 2]], 23719/774144000], [[[1, 4], [2, 11], [6, 2], [14, 1]], 2873/130056192], [[[1, 4], [2, 11], [6, 2], [18, 1]], 661/139345920], [[[1, 4], [2, 11], [6, 3], [8, 1]], 179/69672960], [[[1, 4], [2, 11], [6, 3], [10, 1]], 161069/4180377600], [[[1, 4], [2, 11], [8, 1], [14, 1]], 43/72253440], [[[1, 4], [2, 11], [10, 1], [14, 1]], 859/77414400], [[[1, 4], [2, 13], [3, 1], [4, 3]], 481/22295347200], [[[1, 4], [2, 13], [3, 1], [6, 3]], 4920353/1083553873920], [[[1, 4], [2, 13], [3, 1], [14, 1]], 1367/43893964800], [[[1, 4], [2, 13], [3, 2], [4, 2]], 1/2229534720], [[[1, 4], [2, 13], [3, 2], [6, 2]], 16853/50164531200], [[[1, 4], [2, 13], [3, 2], [10, 1]], 23/6270566400], [[[1, 4], [2, 13], [3, 3], [6, 1]], 13/18811699200], [[[1, 4], [2, 13], [4, 1], [6, 3]], 136373/14108774400], [[[1, 4], [2, 13], [4, 1], [14, 1]], 268409/234101145600], [[[1, 4], [2, 13], [4, 2], [5, 1]], 1/619315200], [[[1, 4], [2, 13], [4, 2], [6, 2]], 841531/114661785600], [[[1, 4], [2, 13], [4, 2], [8, 1]], 69/183500800], [[[1, 4], [2, 13], [4, 2], [10, 1]], 39707/14863564800], [[[1, 4], [2, 13], [4, 3], [6, 1]], 46859/26754416640], [[[1, 4], [2, 13], [5, 1], [6, 2]], 37/696729600], [[[1, 4], [2, 13], [5, 1], [10, 1]], 5227/222953472000], [[[1, 4], [2, 13], [6, 1], [14, 1]], 275707/156067430400], [[[1, 4], [2, 13], [6, 1], [18, 1]], 659/7431782400], [[[1, 4], [2, 13], [6, 2], [8, 1]], 31/119439360], [[[1, 4], [2, 13], [6, 2], [10, 1]], 93781/11943936000], [[[1, 4], [2, 13], [8, 1], [10, 1]], 187/2322432000], [[[1, 4], [2, 15], [3, 1], [4, 2]], 233/133772083200], [[[1, 4], [2, 15], [3, 1], [6, 2]], 5569/36118462464], [[[1, 4], [2, 15], [3, 1], [10, 1]], 541/179159040000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 61/1504935936000], [[[1, 4], [2, 15], [3, 2], [6, 1]], 1333/1755758592000], [[[1, 4], [2, 15], [4, 1], [5, 1]], 61/418037760000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 127153/171992678400], [[[1, 4], [2, 15], [4, 1], [8, 1]], 2461/267544166400], [[[1, 4], [2, 15], [4, 1], [10, 1]], 311777/1672151040000], [[[1, 4], [2, 15], [4, 2], [6, 1]], 8072291/28092137472000], [[[1, 4], [2, 15], [5, 1], [6, 1]], 97/121927680000], [[[1, 4], [2, 15], [6, 1], [8, 1]], 109/16721510400], [[[1, 4], [2, 15], [6, 1], [10, 1]], 82603/222953472000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 1079/18728091648000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 318539/252829237248000], [[[1, 4], [2, 17], [4, 1], [6, 1]], 2820301/168552824832000], [[[1, 5], [2, 2], [3, 1], [4, 8]], 29/15482880], [[[1, 5], [2, 2], [3, 1], [5, 4]], 19/960000], [[[1, 5], [2, 2], [3, 1], [10, 4]], 1/2880000], [[[1, 5], [2, 2], [3, 3], [5, 3]], 1/216000], [[[1, 5], [2, 2], [3, 3], [7, 2]], 1/24192], [[[1, 5], [2, 2], [3, 3], [9, 2]], 1/10368], [[[1, 5], [2, 2], [4, 1], [5, 4]], 121/3840000], [[[1, 5], [2, 2], [4, 1], [20, 2]], 7/256000], [[[1, 5], [2, 2], [4, 3], [5, 3]], 3/512000], [[[1, 5], [2, 2], [4, 3], [8, 3]], 3/16384], [[[1, 5], [2, 2], [4, 3], [12, 3]], 7/829440], [[[1, 5], [2, 2], [4, 3], [28, 1]], 3/8960], [[[1, 5], [2, 2], [4, 5], [8, 2]], 1/24576], [[[1, 5], [2, 2], [4, 5], [12, 2]], 137/2211840], [[[1, 5], [2, 2], [4, 5], [20, 1]], 671/9216000], [[[1, 5], [2, 2], [4, 7], [8, 1]], 5/1769472], [[[1, 5], [2, 2], [4, 7], [12, 1]], 11/1843200], [[[1, 5], [2, 2], [4, 8], [6, 1]], 1/46448640], [[[1, 5], [2, 2], [5, 3], [7, 1]], 1/28000], [[[1, 5], [2, 2], [5, 4], [6, 1]], 1/960000], [[[1, 5], [2, 4], [3, 1], [4, 7]], 13/1105920], [[[1, 5], [2, 4], [3, 2], [5, 3]], 1/288000], [[[1, 5], [2, 4], [3, 2], [7, 2]], 43/1806336], [[[1, 5], [2, 4], [3, 2], [9, 2]], 11/331776], [[[1, 5], [2, 4], [3, 2], [10, 3]], 1/288000], [[[1, 5], [2, 4], [3, 2], [14, 2]], 1/56448], [[[1, 5], [2, 4], [3, 4], [4, 4]], 1/1769472], [[[1, 5], [2, 4], [3, 4], [6, 4]], 1/46656], [[[1, 5], [2, 4], [3, 5], [4, 3]], 7/5971968], [[[1, 5], [2, 4], [3, 5], [6, 3]], 7/104976], [[[1, 5], [2, 4], [4, 2], [5, 3]], 9/204800], [[[1, 5], [2, 4], [4, 2], [7, 2]], 11/602112], [[[1, 5], [2, 4], [4, 2], [8, 3]], 9/16384], [[[1, 5], [2, 4], [4, 2], [10, 3]], 31/3072000], [[[1, 5], [2, 4], [4, 2], [14, 2]], 1/200704], [[[1, 5], [2, 4], [4, 2], [28, 1]], 25/64512], [[[1, 5], [2, 4], [4, 4], [5, 2]], 9/819200], [[[1, 5], [2, 4], [4, 4], [6, 4]], 1/5308416], [[[1, 5], [2, 4], [4, 4], [8, 2]], 81/65536], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/204800], [[[1, 5], [2, 4], [4, 4], [12, 2]], 167/663552], [[[1, 5], [2, 4], [4, 4], [20, 1]], 401/552960], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1/46080], [[[1, 5], [2, 4], [4, 6], [8, 1]], 619/1327104], [[[1, 5], [2, 4], [4, 6], [10, 1]], 1/46080], [[[1, 5], [2, 4], [4, 6], [12, 1]], 31/82944], [[[1, 5], [2, 4], [4, 7], [6, 1]], 7/3317760], [[[1, 5], [2, 4], [5, 1], [10, 3]], 119/5120000], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/15680], [[[1, 5], [2, 4], [5, 2], [10, 2]], 121/640000], [[[1, 5], [2, 4], [5, 3], [6, 2]], 1/172800], [[[1, 5], [2, 4], [5, 3], [8, 1]], 1/128000], [[[1, 5], [2, 4], [5, 3], [10, 1]], 289/3072000], [[[1, 5], [2, 4], [6, 2], [7, 2]], 5/169344], [[[1, 5], [2, 4], [6, 2], [14, 2]], 5/1806336], [[[1, 5], [2, 4], [6, 2], [18, 2]], 5/331776], [[[1, 5], [2, 4], [7, 2], [8, 1]], 1/25088], [[[1, 5], [2, 4], [7, 2], [10, 1]], 1/9408], [[[1, 5], [2, 6], [3, 1], [4, 6]], 7/663552], [[[1, 5], [2, 6], [3, 1], [5, 3]], 1/540000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/30233088], [[[1, 5], [2, 6], [3, 1], [7, 2]], 353/40642560], [[[1, 5], [2, 6], [3, 1], [10, 3]], 103/8640000], [[[1, 5], [2, 6], [3, 1], [14, 2]], 31/508032], [[[1, 5], [2, 6], [3, 2], [4, 5]], 1/589824], [[[1, 5], [2, 6], [3, 2], [6, 5]], 47/1119744], [[[1, 5], [2, 6], [3, 3], [4, 4]], 19/5308416], [[[1, 5], [2, 6], [3, 3], [5, 2]], 31/746496000], [[[1, 5], [2, 6], [3, 3], [6, 4]], 19/93312], [[[1, 5], [2, 6], [3, 4], [4, 3]], 17/15925248], [[[1, 5], [2, 6], [3, 4], [6, 3]], 25/279936], [[[1, 5], [2, 6], [3, 4], [7, 1]], 31/313528320], [[[1, 5], [2, 6], [3, 4], [9, 1]], 31/134369280], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/1679616], [[[1, 5], [2, 6], [4, 1], [5, 3]], 43/6144000], [[[1, 5], [2, 6], [4, 1], [7, 2]], 1/43008], [[[1, 5], [2, 6], [4, 1], [10, 3]], 503/18432000], [[[1, 5], [2, 6], [4, 1], [14, 2]], 89/903168], [[[1, 5], [2, 6], [4, 2], [6, 5]], 85/35831808], [[[1, 5], [2, 6], [4, 3], [5, 2]], 23/819200], [[[1, 5], [2, 6], [4, 3], [6, 4]], 209/15925248], [[[1, 5], [2, 6], [4, 3], [8, 2]], 695/589824], [[[1, 5], [2, 6], [4, 3], [10, 2]], 151/1638400], [[[1, 5], [2, 6], [4, 3], [12, 2]], 25/663552], [[[1, 5], [2, 6], [4, 3], [20, 1]], 5/36864], [[[1, 5], [2, 6], [4, 4], [6, 3]], 1/110592], [[[1, 5], [2, 6], [4, 4], [7, 1]], 13/1376256], [[[1, 5], [2, 6], [4, 4], [14, 1]], 11/688128], [[[1, 5], [2, 6], [4, 5], [5, 1]], 19/491520], [[[1, 5], [2, 6], [4, 5], [6, 2]], 1/393216], [[[1, 5], [2, 6], [4, 5], [8, 1]], 4295/7077888], [[[1, 5], [2, 6], [4, 5], [10, 1]], 41/983040], [[[1, 5], [2, 6], [4, 5], [12, 1]], 373/1658880], [[[1, 5], [2, 6], [4, 6], [6, 1]], 1/36864], [[[1, 5], [2, 6], [5, 1], [6, 5]], 1/933120], [[[1, 5], [2, 6], [5, 2], [7, 1]], 353/96768000], [[[1, 5], [2, 6], [5, 3], [6, 1]], 23/3456000], [[[1, 5], [2, 6], [6, 1], [7, 2]], 23/677376], [[[1, 5], [2, 6], [6, 1], [10, 3]], 1/128000], [[[1, 5], [2, 6], [6, 1], [14, 2]], 31/903168], [[[1, 5], [2, 6], [6, 3], [10, 2]], 13/3317760], [[[1, 5], [2, 6], [6, 4], [14, 1]], 17/6967296], [[[1, 5], [2, 6], [6, 4], [18, 1]], 17/2985984], [[[1, 5], [2, 6], [10, 2], [14, 1]], 19/2150400], [[[1, 5], [2, 8], [3, 1], [4, 5]], 43/7077888], [[[1, 5], [2, 8], [3, 1], [6, 5]], 5077/161243136], [[[1, 5], [2, 8], [3, 2], [4, 4]], 11/4718592], [[[1, 5], [2, 8], [3, 2], [5, 2]], 11/44236800], [[[1, 5], [2, 8], [3, 2], [6, 4]], 6751/35831808], [[[1, 5], [2, 8], [3, 2], [10, 2]], 89/20736000], [[[1, 5], [2, 8], [3, 3], [6, 3]], 91/829440], [[[1, 5], [2, 8], [3, 3], [7, 1]], 103/836075520], [[[1, 5], [2, 8], [3, 3], [9, 1]], 11/39813120], [[[1, 5], [2, 8], [3, 4], [4, 2]], 31/955514880], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1/447897600], [[[1, 5], [2, 8], [3, 4], [6, 2]], 643/179159040], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/1074954240], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/268738560], [[[1, 5], [2, 8], [4, 1], [6, 5]], 265/23887872], [[[1, 5], [2, 8], [4, 2], [5, 2]], 221/98304000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 8191/143327232], [[[1, 5], [2, 8], [4, 2], [8, 2]], 143/1474560], [[[1, 5], [2, 8], [4, 2], [10, 2]], 1651/11059200], [[[1, 5], [2, 8], [4, 3], [6, 3]], 2131/26542080], [[[1, 5], [2, 8], [4, 3], [7, 1]], 5/458752], [[[1, 5], [2, 8], [4, 3], [14, 1]], 1721/20643840], [[[1, 5], [2, 8], [4, 4], [5, 1]], 11/1310720], [[[1, 5], [2, 8], [4, 4], [6, 2]], 701/17694720], [[[1, 5], [2, 8], [4, 4], [8, 1]], 2039/11796480], [[[1, 5], [2, 8], [4, 4], [10, 1]], 941/14745600], [[[1, 5], [2, 8], [4, 4], [12, 1]], 7/737280], [[[1, 5], [2, 8], [4, 5], [6, 1]], 29/1474560], [[[1, 5], [2, 8], [5, 1], [6, 4]], 11/1492992], [[[1, 5], [2, 8], [5, 1], [10, 2]], 1877/46080000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 1/27648000], [[[1, 5], [2, 8], [5, 2], [10, 1]], 14053/1935360000], [[[1, 5], [2, 8], [6, 2], [10, 2]], 167/3456000], [[[1, 5], [2, 8], [6, 3], [14, 1]], 41/1244160], [[[1, 5], [2, 8], [6, 3], [18, 1]], 151/4976640], [[[1, 5], [2, 8], [6, 4], [8, 1]], 61/23887872], [[[1, 5], [2, 8], [6, 4], [10, 1]], 13/995328], [[[1, 5], [2, 8], [8, 1], [10, 2]], 89/7372800], [[[1, 5], [2, 10], [3, 1], [4, 4]], 17/17694720], [[[1, 5], [2, 10], [3, 1], [5, 2]], 7/663552000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 1340593/22574039040], [[[1, 5], [2, 10], [3, 1], [10, 2]], 8947/1632960000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 1/8847360], [[[1, 5], [2, 10], [3, 2], [6, 3]], 160543/2508226560], [[[1, 5], [2, 10], [3, 2], [7, 1]], 1/111476736], [[[1, 5], [2, 10], [3, 2], [9, 1]], 1/119439360], [[[1, 5], [2, 10], [3, 2], [14, 1]], 43/162570240], [[[1, 5], [2, 10], [3, 3], [4, 2]], 7/955514880], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1/398131200], [[[1, 5], [2, 10], [3, 3], [6, 2]], 55/15925248], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/955514880], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1/179159040], [[[1, 5], [2, 10], [4, 1], [5, 2]], 23/442368000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 1427/31850496], [[[1, 5], [2, 10], [4, 1], [8, 2]], 11/9175040], [[[1, 5], [2, 10], [4, 1], [10, 2]], 8473/147456000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 12659/125411328], [[[1, 5], [2, 10], [4, 2], [7, 1]], 97/247726080], [[[1, 5], [2, 10], [4, 2], [14, 1]], 123271/2601123840], [[[1, 5], [2, 10], [4, 3], [5, 1]], 1/2457600], [[[1, 5], [2, 10], [4, 3], [6, 2]], 16853/212336640], [[[1, 5], [2, 10], [4, 3], [8, 1]], 1110961/29727129600], [[[1, 5], [2, 10], [4, 3], [10, 1]], 21151/412876800], [[[1, 5], [2, 10], [4, 4], [6, 1]], 37973/1486356480], [[[1, 5], [2, 10], [5, 1], [6, 3]], 179/43545600], [[[1, 5], [2, 10], [5, 1], [7, 1]], 1/51609600], [[[1, 5], [2, 10], [5, 1], [14, 1]], 43/45158400], [[[1, 5], [2, 10], [5, 2], [6, 1]], 1/110592000], [[[1, 5], [2, 10], [6, 1], [10, 2]], 5251/129024000], [[[1, 5], [2, 10], [6, 2], [14, 1]], 10961/325140480], [[[1, 5], [2, 10], [6, 2], [18, 1]], 239/23224320], [[[1, 5], [2, 10], [6, 3], [8, 1]], 523/119439360], [[[1, 5], [2, 10], [6, 3], [10, 1]], 803/19906560], [[[1, 5], [2, 10], [8, 1], [14, 1]], 61/30965760], [[[1, 5], [2, 10], [10, 1], [14, 1]], 31/1433600], [[[1, 5], [2, 12], [3, 1], [4, 3]], 1811/6370099200], [[[1, 5], [2, 12], [3, 1], [6, 3]], 45262673/2708884684800], [[[1, 5], [2, 12], [3, 1], [7, 1]], 1/7431782400], [[[1, 5], [2, 12], [3, 1], [9, 1]], 1/3185049600], [[[1, 5], [2, 12], [3, 1], [14, 1]], 11171/43893964800], [[[1, 5], [2, 12], [3, 2], [4, 2]], 4373/267544166400], [[[1, 5], [2, 12], [3, 2], [6, 2]], 71219/25082265600], [[[1, 5], [2, 12], [3, 2], [10, 1]], 187/5225472000], [[[1, 5], [2, 12], [3, 3], [6, 1]], 953/66886041600], [[[1, 5], [2, 12], [4, 1], [6, 3]], 90343/3344302080], [[[1, 5], [2, 12], [4, 1], [7, 1]], 1/247726080], [[[1, 5], [2, 12], [4, 1], [14, 1]], 201787/39016857600], [[[1, 5], [2, 12], [4, 2], [5, 1]], 4373/74317824000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 6429277/200658124800], [[[1, 5], [2, 12], [4, 2], [8, 1]], 45397/14863564800], [[[1, 5], [2, 12], [4, 2], [10, 1]], 785803/55738368000], [[[1, 5], [2, 12], [4, 3], [6, 1]], 7121/557383680], [[[1, 5], [2, 12], [5, 1], [6, 2]], 31/74649600], [[[1, 5], [2, 12], [5, 1], [10, 1]], 81307/371589120000], [[[1, 5], [2, 12], [6, 1], [14, 1]], 105817/19508428800], [[[1, 5], [2, 12], [6, 1], [18, 1]], 3307/8360755200], [[[1, 5], [2, 12], [6, 2], [8, 1]], 563/557383680], [[[1, 5], [2, 12], [6, 2], [10, 1]], 54871/3096576000], [[[1, 5], [2, 12], [8, 1], [10, 1]], 31/77414400], [[[1, 5], [2, 14], [3, 1], [4, 2]], 733/26754416640], [[[1, 5], [2, 14], [3, 1], [6, 2]], 25611493/25282923724800], [[[1, 5], [2, 14], [3, 1], [10, 1]], 5077/156764160000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 47/50164531200], [[[1, 5], [2, 14], [3, 2], [6, 1]], 1349/100329062400], [[[1, 5], [2, 14], [4, 1], [5, 1]], 47/13934592000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 2001457/535088332800], [[[1, 5], [2, 14], [4, 1], [8, 1]], 74201/891813888000], [[[1, 5], [2, 14], [4, 1], [10, 1]], 1531529/1337720832000], [[[1, 5], [2, 14], [4, 2], [6, 1]], 1785769/802632499200], [[[1, 5], [2, 14], [5, 1], [6, 1]], 109/10450944000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 97/2090188800], [[[1, 5], [2, 14], [6, 1], [10, 1]], 345907/222953472000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 12779/12039487488000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 13681721/1011316948992000], [[[1, 5], [2, 16], [4, 1], [6, 1]], 122957/891813888000], [[[1, 5], [3, 1], [5, 3], [7, 1]], 1/42000], [[[1, 5], [3, 1], [5, 3], [9, 1]], 1/18000], [[[1, 5], [3, 2], [4, 2], [7, 2]], 1/451584], [[[1, 5], [3, 2], [4, 2], [9, 2]], 1/82944], [[[1, 5], [3, 2], [5, 1], [7, 2]], 1/35280], [[[1, 5], [3, 2], [5, 1], [9, 2]], 1/6480], [[[1, 5], [3, 2], [5, 2], [10, 2]], 1/28800], [[[1, 5], [3, 3], [5, 2], [7, 1]], 1/151200], [[[1, 5], [3, 3], [5, 2], [9, 1]], 1/64800], [[[1, 5], [3, 4], [7, 1], [9, 1]], 1/27216], [[[1, 5], [4, 2], [5, 2], [10, 2]], 1/102400], [[[1, 5], [4, 2], [12, 1], [28, 1]], 1/64512], [[[1, 5], [4, 2], [12, 1], [36, 1]], 1/27648], [[[1, 5], [4, 4], [12, 1], [20, 1]], 1/92160], [[[1, 6], [2, 1], [3, 1], [5, 4]], 103/2880000], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/81000], [[[1, 6], [2, 1], [3, 3], [7, 2]], 23/508032], [[[1, 6], [2, 1], [3, 3], [9, 2]], 7/93312], [[[1, 6], [2, 1], [3, 5], [5, 2]], 1/1166400], [[[1, 6], [2, 1], [3, 6], [7, 1]], 1/489888], [[[1, 6], [2, 1], [3, 6], [9, 1]], 1/209952], [[[1, 6], [2, 1], [4, 1], [5, 4]], 103/3840000], [[[1, 6], [2, 1], [4, 1], [20, 2]], 1/768000], [[[1, 6], [2, 1], [4, 3], [5, 3]], 1/512000], [[[1, 6], [2, 1], [4, 3], [12, 3]], 1/2488320], [[[1, 6], [2, 1], [4, 3], [28, 1]], 1/40320], [[[1, 6], [2, 1], [4, 5], [12, 2]], 31/6635520], [[[1, 6], [2, 1], [4, 5], [20, 1]], 17/3072000], [[[1, 6], [2, 1], [4, 7], [8, 1]], 1/8847360], [[[1, 6], [2, 1], [4, 7], [12, 1]], 53/116121600], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/21000], [[[1, 6], [2, 3], [3, 1], [4, 7]], 11/1105920], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/28800], [[[1, 6], [2, 3], [3, 2], [7, 2]], 449/5419008], [[[1, 6], [2, 3], [3, 2], [9, 2]], 11/331776], [[[1, 6], [2, 3], [3, 4], [4, 4]], 1/1769472], [[[1, 6], [2, 3], [3, 4], [5, 2]], 17/3110400], [[[1, 6], [2, 3], [3, 5], [4, 3]], 1/663552], [[[1, 6], [2, 3], [3, 5], [6, 3]], 7/104976], [[[1, 6], [2, 3], [3, 5], [7, 1]], 5/1306368], [[[1, 6], [2, 3], [3, 5], [9, 1]], 5/559872], [[[1, 6], [2, 3], [3, 6], [4, 2]], 43/26873856], [[[1, 6], [2, 3], [3, 6], [6, 2]], 95/3779136], [[[1, 6], [2, 3], [3, 6], [10, 1]], 1/2099520], [[[1, 6], [2, 3], [4, 2], [5, 3]], 27/320000], [[[1, 6], [2, 3], [4, 2], [7, 2]], 23/903168], [[[1, 6], [2, 3], [4, 2], [8, 3]], 3/16384], [[[1, 6], [2, 3], [4, 2], [28, 1]], 1/10240], [[[1, 6], [2, 3], [4, 4], [5, 2]], 1/102400], [[[1, 6], [2, 3], [4, 4], [8, 2]], 101/393216], [[[1, 6], [2, 3], [4, 4], [10, 2]], 1/1638400], [[[1, 6], [2, 3], [4, 4], [12, 2]], 107/2211840], [[[1, 6], [2, 3], [4, 4], [20, 1]], 79/614400], [[[1, 6], [2, 3], [4, 6], [8, 1]], 3/102400], [[[1, 6], [2, 3], [4, 6], [12, 1]], 173/5529600], [[[1, 6], [2, 3], [4, 7], [6, 1]], 1/3317760], [[[1, 6], [2, 3], [5, 1], [7, 2]], 1/15680], [[[1, 6], [2, 3], [5, 1], [10, 3]], 1/204800], [[[1, 6], [2, 3], [5, 2], [10, 2]], 4387/46080000], [[[1, 6], [2, 3], [5, 3], [6, 2]], 11/4320000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 1/76800], [[[1, 6], [2, 3], [5, 3], [10, 1]], 9079/76800000], [[[1, 6], [2, 3], [6, 2], [7, 2]], 1/72576], [[[1, 6], [2, 3], [6, 2], [14, 2]], 31/81285120], [[[1, 6], [2, 3], [6, 2], [18, 2]], 31/14929920], [[[1, 6], [2, 3], [7, 2], [8, 1]], 5/75264], [[[1, 6], [2, 3], [7, 2], [10, 1]], 1/20160], [[[1, 6], [2, 5], [3, 1], [4, 6]], 1/36864], [[[1, 6], [2, 5], [3, 1], [5, 3]], 1/128000], [[[1, 6], [2, 5], [3, 1], [7, 2]], 31/903168], [[[1, 6], [2, 5], [3, 1], [10, 3]], 23/3456000], [[[1, 6], [2, 5], [3, 1], [14, 2]], 23/677376], [[[1, 6], [2, 5], [3, 2], [4, 5]], 1/393216], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/1679616], [[[1, 6], [2, 5], [3, 3], [4, 4]], 1/110592], [[[1, 6], [2, 5], [3, 3], [5, 2]], 13/3317760], [[[1, 6], [2, 5], [3, 3], [6, 4]], 25/279936], [[[1, 6], [2, 5], [3, 4], [4, 3]], 209/15925248], [[[1, 6], [2, 5], [3, 4], [6, 3]], 19/93312], [[[1, 6], [2, 5], [3, 4], [7, 1]], 17/6967296], [[[1, 6], [2, 5], [3, 4], [9, 1]], 17/2985984], [[[1, 6], [2, 5], [3, 5], [4, 2]], 85/35831808], [[[1, 6], [2, 5], [3, 5], [6, 2]], 47/1119744], [[[1, 6], [2, 5], [3, 5], [10, 1]], 1/933120], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/30233088], [[[1, 6], [2, 5], [4, 1], [5, 3]], 503/18432000], [[[1, 6], [2, 5], [4, 1], [7, 2]], 89/903168], [[[1, 6], [2, 5], [4, 1], [10, 3]], 43/6144000], [[[1, 6], [2, 5], [4, 1], [14, 2]], 1/43008], [[[1, 6], [2, 5], [4, 3], [5, 2]], 151/1638400], [[[1, 6], [2, 5], [4, 3], [6, 4]], 17/15925248], [[[1, 6], [2, 5], [4, 3], [8, 2]], 695/589824], [[[1, 6], [2, 5], [4, 3], [10, 2]], 23/819200], [[[1, 6], [2, 5], [4, 3], [12, 2]], 25/663552], [[[1, 6], [2, 5], [4, 3], [20, 1]], 5/36864], [[[1, 6], [2, 5], [4, 4], [6, 3]], 19/5308416], [[[1, 6], [2, 5], [4, 4], [7, 1]], 11/688128], [[[1, 6], [2, 5], [4, 4], [14, 1]], 13/1376256], [[[1, 6], [2, 5], [4, 5], [5, 1]], 41/983040], [[[1, 6], [2, 5], [4, 5], [6, 2]], 1/589824], [[[1, 6], [2, 5], [4, 5], [8, 1]], 4295/7077888], [[[1, 6], [2, 5], [4, 5], [10, 1]], 19/491520], [[[1, 6], [2, 5], [4, 5], [12, 1]], 373/1658880], [[[1, 6], [2, 5], [4, 6], [6, 1]], 7/663552], [[[1, 6], [2, 5], [5, 2], [7, 1]], 19/2150400], [[[1, 6], [2, 5], [5, 3], [6, 1]], 103/8640000], [[[1, 6], [2, 5], [6, 1], [7, 2]], 31/508032], [[[1, 6], [2, 5], [6, 1], [10, 3]], 1/540000], [[[1, 6], [2, 5], [6, 1], [14, 2]], 353/40642560], [[[1, 6], [2, 5], [6, 3], [10, 2]], 31/746496000], [[[1, 6], [2, 5], [6, 4], [14, 1]], 31/313528320], [[[1, 6], [2, 5], [6, 4], [18, 1]], 31/134369280], [[[1, 6], [2, 5], [10, 2], [14, 1]], 353/96768000], [[[1, 6], [2, 7], [3, 1], [4, 5]], 205/7077888], [[[1, 6], [2, 7], [3, 1], [6, 5]], 37/5971968], [[[1, 6], [2, 7], [3, 2], [4, 4]], 151/7077888], [[[1, 6], [2, 7], [3, 2], [5, 2]], 2159/995328000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 13675/107495424], [[[1, 6], [2, 7], [3, 2], [10, 2]], 89/16588800], [[[1, 6], [2, 7], [3, 3], [4, 3]], 53/5308416], [[[1, 6], [2, 7], [3, 3], [6, 3]], 119/497664], [[[1, 6], [2, 7], [3, 3], [7, 1]], 1481/1254113280], [[[1, 6], [2, 7], [3, 3], [9, 1]], 431/179159040], [[[1, 6], [2, 7], [3, 4], [4, 2]], 37/31850496], [[[1, 6], [2, 7], [3, 4], [5, 1]], 1/13996800], [[[1, 6], [2, 7], [3, 4], [6, 2]], 413/11943936], [[[1, 6], [2, 7], [3, 4], [10, 1]], 1/1658880], [[[1, 6], [2, 7], [3, 5], [4, 1]], 31/1074954240], [[[1, 6], [2, 7], [3, 5], [6, 1]], 17/89579520], [[[1, 6], [2, 7], [4, 1], [6, 5]], 97/71663616], [[[1, 6], [2, 7], [4, 2], [5, 2]], 439/18432000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 551/31850496], [[[1, 6], [2, 7], [4, 2], [8, 2]], 2699/11796480], [[[1, 6], [2, 7], [4, 2], [10, 2]], 13567/147456000], [[[1, 6], [2, 7], [4, 3], [6, 3]], 433/7962624], [[[1, 6], [2, 7], [4, 3], [7, 1]], 25/458752], [[[1, 6], [2, 7], [4, 3], [14, 1]], 409/4128768], [[[1, 6], [2, 7], [4, 4], [5, 1]], 509/9830400], [[[1, 6], [2, 7], [4, 4], [6, 2]], 653/14155776], [[[1, 6], [2, 7], [4, 4], [8, 1]], 1/2048], [[[1, 6], [2, 7], [4, 4], [10, 1]], 583/6553600], [[[1, 6], [2, 7], [4, 4], [12, 1]], 25/663552], [[[1, 6], [2, 7], [4, 5], [6, 1]], 59/1474560], [[[1, 6], [2, 7], [5, 1], [6, 4]], 61/14929920], [[[1, 6], [2, 7], [5, 1], [10, 2]], 79/1536000], [[[1, 6], [2, 7], [5, 2], [6, 2]], 11/4608000], [[[1, 6], [2, 7], [5, 2], [8, 1]], 1/12288000], [[[1, 6], [2, 7], [5, 2], [10, 1]], 8129/276480000], [[[1, 6], [2, 7], [6, 2], [10, 2]], 2473/199065600], [[[1, 6], [2, 7], [6, 3], [14, 1]], 11219/1254113280], [[[1, 6], [2, 7], [6, 3], [18, 1]], 2189/179159040], [[[1, 6], [2, 7], [6, 4], [8, 1]], 1/2654208], [[[1, 6], [2, 7], [6, 4], [10, 1]], 199/111974400], [[[1, 6], [2, 7], [8, 1], [10, 2]], 11/2048000], [[[1, 6], [2, 9], [3, 1], [4, 4]], 317/23592960], [[[1, 6], [2, 9], [3, 1], [5, 2]], 19/55296000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 5779/119439360], [[[1, 6], [2, 9], [3, 1], [10, 2]], 131/12096000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 1261/424673280], [[[1, 6], [2, 9], [3, 2], [6, 3]], 480203/3762339840], [[[1, 6], [2, 9], [3, 2], [7, 1]], 41/139345920], [[[1, 6], [2, 9], [3, 2], [9, 1]], 1/3732480], [[[1, 6], [2, 9], [3, 2], [14, 1]], 61/69672960], [[[1, 6], [2, 9], [3, 3], [4, 2]], 11/47775744], [[[1, 6], [2, 9], [3, 3], [5, 1]], 13/149299200], [[[1, 6], [2, 9], [3, 3], [6, 2]], 3671/167215104], [[[1, 6], [2, 9], [3, 4], [4, 1]], 107/2866544640], [[[1, 6], [2, 9], [3, 4], [6, 1]], 1/4423680], [[[1, 6], [2, 9], [4, 1], [5, 2]], 247/294912000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 7679/286654464], [[[1, 6], [2, 9], [4, 1], [8, 2]], 1/294912], [[[1, 6], [2, 9], [4, 1], [10, 2]], 12811/221184000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 3227/31850496], [[[1, 6], [2, 9], [4, 2], [7, 1]], 1649/247726080], [[[1, 6], [2, 9], [4, 2], [14, 1]], 2063/24772608], [[[1, 6], [2, 9], [4, 3], [5, 1]], 1261/117964800], [[[1, 6], [2, 9], [4, 3], [6, 2]], 49/368640], [[[1, 6], [2, 9], [4, 3], [8, 1]], 28649/220200960], [[[1, 6], [2, 9], [4, 3], [10, 1]], 4849/44236800], [[[1, 6], [2, 9], [4, 4], [6, 1]], 3721/55050240], [[[1, 6], [2, 9], [5, 1], [6, 3]], 523/74649600], [[[1, 6], [2, 9], [5, 1], [7, 1]], 1/1612800], [[[1, 6], [2, 9], [5, 1], [14, 1]], 61/19353600], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/1536000], [[[1, 6], [2, 9], [6, 1], [10, 2]], 992129/34836480000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 1/7741440], [[[1, 6], [2, 9], [6, 2], [14, 1]], 795161/29262643200], [[[1, 6], [2, 9], [6, 2], [18, 1]], 73883/6270566400], [[[1, 6], [2, 9], [6, 3], [8, 1]], 7/2211840], [[[1, 6], [2, 9], [6, 3], [10, 1]], 191941/8957952000], [[[1, 6], [2, 9], [7, 1], [10, 1]], 1/2150400], [[[1, 6], [2, 9], [8, 1], [14, 1]], 31/10321920], [[[1, 6], [2, 9], [10, 1], [14, 1]], 27173/1161216000], [[[1, 6], [2, 11], [3, 1], [4, 3]], 2011/990904320], [[[1, 6], [2, 11], [3, 1], [6, 3]], 72193/2229534720], [[[1, 6], [2, 11], [3, 1], [7, 1]], 19/1857945600], [[[1, 6], [2, 11], [3, 1], [9, 1]], 1/88473600], [[[1, 6], [2, 11], [3, 1], [14, 1]], 3887/3657830400], [[[1, 6], [2, 11], [3, 2], [4, 2]], 4627/19110297600], [[[1, 6], [2, 11], [3, 2], [5, 1]], 7/1592524800], [[[1, 6], [2, 11], [3, 2], [6, 2]], 15357947/1203948748800], [[[1, 6], [2, 11], [3, 2], [10, 1]], 31/174182400], [[[1, 6], [2, 11], [3, 3], [4, 1]], 13/2866544640], [[[1, 6], [2, 11], [3, 3], [6, 1]], 33113/200658124800], [[[1, 6], [2, 11], [4, 1], [6, 3]], 4391/111476736], [[[1, 6], [2, 11], [4, 1], [7, 1]], 103/743178240], [[[1, 6], [2, 11], [4, 1], [14, 1]], 1613/123863040], [[[1, 6], [2, 11], [4, 2], [5, 1]], 4417/5308416000], [[[1, 6], [2, 11], [4, 2], [6, 2]], 3541/49545216], [[[1, 6], [2, 11], [4, 2], [8, 1]], 233461/17836277760], [[[1, 6], [2, 11], [4, 2], [10, 1]], 179219/4644864000], [[[1, 6], [2, 11], [4, 3], [6, 1]], 10007/222953472], [[[1, 6], [2, 11], [5, 1], [6, 2]], 563/348364800], [[[1, 6], [2, 11], [5, 1], [10, 1]], 13687/12386304000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 1/30965760], [[[1, 6], [2, 11], [6, 1], [14, 1]], 16791799/1755758592000], [[[1, 6], [2, 11], [6, 1], [18, 1]], 743419/752467968000], [[[1, 6], [2, 11], [6, 2], [8, 1]], 17/8847360], [[[1, 6], [2, 11], [6, 2], [10, 1]], 369197/16721510400], [[[1, 6], [2, 11], [8, 1], [10, 1]], 7/6912000], [[[1, 6], [2, 13], [3, 1], [4, 2]], 65557/267544166400], [[[1, 6], [2, 13], [3, 1], [5, 1]], 1/10616832000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 128269/33443020800], [[[1, 6], [2, 13], [3, 1], [10, 1]], 23587/125411328000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 17749/1605264998400], [[[1, 6], [2, 13], [3, 2], [6, 1]], 145631/1203948748800], [[[1, 6], [2, 13], [4, 1], [5, 1]], 17749/445906944000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 2151593/200658124800], [[[1, 6], [2, 13], [4, 1], [8, 1]], 129007/297271296000], [[[1, 6], [2, 13], [4, 1], [10, 1]], 31949/7962624000], [[[1, 6], [2, 13], [4, 2], [6, 1]], 417107/44590694400], [[[1, 6], [2, 13], [5, 1], [6, 1]], 97/1306368000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 169/928972800], [[[1, 6], [2, 13], [6, 1], [10, 1]], 9568957/2508226560000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 137201/12039487488000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 3297023/37456183296000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 5462491/8026324992000], [[[1, 7], [2, 2], [3, 2], [5, 3]], 11/144000], [[[1, 7], [2, 2], [3, 2], [7, 2]], 55/602112], [[[1, 7], [2, 2], [3, 2], [9, 2]], 5/331776], [[[1, 7], [2, 2], [3, 4], [4, 4]], 1/5308416], [[[1, 7], [2, 2], [3, 4], [5, 2]], 67/3110400], [[[1, 7], [2, 2], [3, 5], [4, 3]], 1/1990656], [[[1, 7], [2, 2], [3, 5], [7, 1]], 19/1306368], [[[1, 7], [2, 2], [3, 5], [9, 1]], 5/186624], [[[1, 7], [2, 2], [3, 6], [4, 2]], 5/2985984], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/699840], [[[1, 7], [2, 2], [3, 6], [6, 2]], 95/3779136], [[[1, 7], [2, 2], [3, 6], [8, 1]], 1/3359232], [[[1, 7], [2, 2], [3, 6], [10, 1]], 1/2099520], [[[1, 7], [2, 2], [3, 7], [4, 1]], 1/1259712], [[[1, 7], [2, 2], [3, 7], [6, 1]], 1/314928], [[[1, 7], [2, 2], [4, 2], [5, 3]], 197/3840000], [[[1, 7], [2, 2], [4, 2], [7, 2]], 5/301056], [[[1, 7], [2, 2], [4, 2], [28, 1]], 1/215040], [[[1, 7], [2, 2], [4, 4], [5, 2]], 1/327680], [[[1, 7], [2, 2], [4, 4], [8, 2]], 5/393216], [[[1, 7], [2, 2], [4, 4], [12, 2]], 7/2211840], [[[1, 7], [2, 2], [4, 4], [20, 1]], 17/1843200], [[[1, 7], [2, 2], [4, 6], [8, 1]], 19/11059200], [[[1, 7], [2, 2], [4, 6], [12, 1]], 13/5529600], [[[1, 7], [2, 2], [5, 1], [7, 2]], 1/9408], [[[1, 7], [2, 2], [5, 1], [10, 3]], 31/46080000], [[[1, 7], [2, 2], [5, 2], [10, 2]], 113/9216000], [[[1, 7], [2, 2], [5, 3], [6, 2]], 1/4320000], [[[1, 7], [2, 2], [5, 3], [8, 1]], 11/1920000], [[[1, 7], [2, 2], [5, 3], [10, 1]], 10907/230400000], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/508032], [[[1, 7], [2, 2], [6, 2], [14, 2]], 1/81285120], [[[1, 7], [2, 2], [6, 2], [18, 2]], 1/14929920], [[[1, 7], [2, 2], [7, 2], [8, 1]], 1/32256], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/141120], [[[1, 7], [2, 4], [3, 1], [4, 6]], 1/55296], [[[1, 7], [2, 4], [3, 1], [5, 3]], 21/512000], [[[1, 7], [2, 4], [3, 1], [7, 2]], 11/150528], [[[1, 7], [2, 4], [3, 1], [10, 3]], 1/1152000], [[[1, 7], [2, 4], [3, 1], [14, 2]], 1/225792], [[[1, 7], [2, 4], [3, 2], [4, 5]], 1/589824], [[[1, 7], [2, 4], [3, 3], [4, 4]], 7/884736], [[[1, 7], [2, 4], [3, 3], [5, 2]], 173/5529600], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/186624], [[[1, 7], [2, 4], [3, 4], [4, 3]], 469/23887872], [[[1, 7], [2, 4], [3, 4], [6, 3]], 115/839808], [[[1, 7], [2, 4], [3, 4], [7, 1]], 127/6967296], [[[1, 7], [2, 4], [3, 4], [9, 1]], 29/995328], [[[1, 7], [2, 4], [3, 5], [4, 2]], 541/35831808], [[[1, 7], [2, 4], [3, 5], [5, 1]], 1/373248], [[[1, 7], [2, 4], [3, 5], [6, 2]], 133/1119744], [[[1, 7], [2, 4], [3, 5], [8, 1]], 1/1492992], [[[1, 7], [2, 4], [3, 5], [10, 1]], 1/311040], [[[1, 7], [2, 4], [3, 6], [4, 1]], 35/20155392], [[[1, 7], [2, 4], [3, 6], [6, 1]], 223/30233088], [[[1, 7], [2, 4], [4, 1], [5, 3]], 6863/92160000], [[[1, 7], [2, 4], [4, 1], [7, 2]], 191/1354752], [[[1, 7], [2, 4], [4, 1], [10, 3]], 31/92160000], [[[1, 7], [2, 4], [4, 3], [5, 2]], 1987/18432000], [[[1, 7], [2, 4], [4, 3], [8, 2]], 143/368640], [[[1, 7], [2, 4], [4, 3], [10, 2]], 1/327680], [[[1, 7], [2, 4], [4, 3], [12, 2]], 7/737280], [[[1, 7], [2, 4], [4, 3], [20, 1]], 7/204800], [[[1, 7], [2, 4], [4, 4], [7, 1]], 3/229376], [[[1, 7], [2, 4], [4, 4], [14, 1]], 1/458752], [[[1, 7], [2, 4], [4, 5], [5, 1]], 1/163840], [[[1, 7], [2, 4], [4, 5], [6, 2]], 1/2359296], [[[1, 7], [2, 4], [4, 5], [8, 1]], 209/1966080], [[[1, 7], [2, 4], [4, 5], [10, 1]], 1/655360], [[[1, 7], [2, 4], [4, 5], [12, 1]], 43/1105920], [[[1, 7], [2, 4], [4, 6], [6, 1]], 1/663552], [[[1, 7], [2, 4], [5, 2], [7, 1]], 59/1075200], [[[1, 7], [2, 4], [5, 3], [6, 1]], 71/8640000], [[[1, 7], [2, 4], [6, 1], [7, 2]], 11/254016], [[[1, 7], [2, 4], [6, 1], [10, 3]], 1/4320000], [[[1, 7], [2, 4], [6, 1], [14, 2]], 47/40642560], [[[1, 7], [2, 4], [6, 3], [10, 2]], 1/746496000], [[[1, 7], [2, 4], [6, 4], [14, 1]], 1/313528320], [[[1, 7], [2, 4], [6, 4], [18, 1]], 1/134369280], [[[1, 7], [2, 4], [10, 2], [14, 1]], 47/96768000], [[[1, 7], [2, 6], [3, 1], [4, 5]], 59/1474560], [[[1, 7], [2, 6], [3, 1], [6, 5]], 17/89579520], [[[1, 7], [2, 6], [3, 2], [4, 4]], 653/14155776], [[[1, 7], [2, 6], [3, 2], [5, 2]], 2473/199065600], [[[1, 7], [2, 6], [3, 2], [6, 4]], 413/11943936], [[[1, 7], [2, 6], [3, 2], [10, 2]], 11/4608000], [[[1, 7], [2, 6], [3, 3], [4, 3]], 433/7962624], [[[1, 7], [2, 6], [3, 3], [6, 3]], 119/497664], [[[1, 7], [2, 6], [3, 3], [7, 1]], 11219/1254113280], [[[1, 7], [2, 6], [3, 3], [9, 1]], 2189/179159040], [[[1, 7], [2, 6], [3, 4], [4, 2]], 551/31850496], [[[1, 7], [2, 6], [3, 4], [5, 1]], 199/111974400], [[[1, 7], [2, 6], [3, 4], [6, 2]], 13675/107495424], [[[1, 7], [2, 6], [3, 4], [8, 1]], 1/2654208], [[[1, 7], [2, 6], [3, 4], [10, 1]], 61/14929920], [[[1, 7], [2, 6], [3, 5], [4, 1]], 97/71663616], [[[1, 7], [2, 6], [3, 5], [6, 1]], 37/5971968], [[[1, 7], [2, 6], [4, 1], [6, 5]], 31/1074954240], [[[1, 7], [2, 6], [4, 2], [5, 2]], 13567/147456000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 37/31850496], [[[1, 7], [2, 6], [4, 2], [8, 2]], 2699/11796480], [[[1, 7], [2, 6], [4, 2], [10, 2]], 439/18432000], [[[1, 7], [2, 6], [4, 3], [6, 3]], 53/5308416], [[[1, 7], [2, 6], [4, 3], [7, 1]], 409/4128768], [[[1, 7], [2, 6], [4, 3], [14, 1]], 25/458752], [[[1, 7], [2, 6], [4, 4], [5, 1]], 583/6553600], [[[1, 7], [2, 6], [4, 4], [6, 2]], 151/7077888], [[[1, 7], [2, 6], [4, 4], [8, 1]], 1/2048], [[[1, 7], [2, 6], [4, 4], [10, 1]], 509/9830400], [[[1, 7], [2, 6], [4, 4], [12, 1]], 25/663552], [[[1, 7], [2, 6], [4, 5], [6, 1]], 205/7077888], [[[1, 7], [2, 6], [5, 1], [6, 4]], 1/1658880], [[[1, 7], [2, 6], [5, 1], [10, 2]], 8129/276480000], [[[1, 7], [2, 6], [5, 2], [6, 2]], 89/16588800], [[[1, 7], [2, 6], [5, 2], [8, 1]], 11/2048000], [[[1, 7], [2, 6], [5, 2], [10, 1]], 79/1536000], [[[1, 7], [2, 6], [6, 2], [10, 2]], 2159/995328000], [[[1, 7], [2, 6], [6, 3], [14, 1]], 1481/1254113280], [[[1, 7], [2, 6], [6, 3], [18, 1]], 431/179159040], [[[1, 7], [2, 6], [6, 4], [10, 1]], 1/13996800], [[[1, 7], [2, 6], [8, 1], [10, 2]], 1/12288000], [[[1, 7], [2, 8], [3, 1], [4, 4]], 3779/70778880], [[[1, 7], [2, 8], [3, 1], [5, 2]], 359/122880000], [[[1, 7], [2, 8], [3, 1], [6, 4]], 6499/358318080], [[[1, 7], [2, 8], [3, 1], [10, 2]], 181/16588800], [[[1, 7], [2, 8], [3, 2], [4, 3]], 169/5308416], [[[1, 7], [2, 8], [3, 2], [6, 3]], 1309/9953280], [[[1, 7], [2, 8], [3, 2], [7, 1]], 1031/398131200], [[[1, 7], [2, 8], [3, 2], [9, 1]], 457/199065600], [[[1, 7], [2, 8], [3, 2], [14, 1]], 31/23224320], [[[1, 7], [2, 8], [3, 3], [4, 2]], 6697/955514880], [[[1, 7], [2, 8], [3, 3], [5, 1]], 3073/3583180800], [[[1, 7], [2, 8], [3, 3], [6, 2]], 26161/358318080], [[[1, 7], [2, 8], [3, 3], [10, 1]], 31/24883200], [[[1, 7], [2, 8], [3, 4], [4, 1]], 1307/2149908480], [[[1, 7], [2, 8], [3, 4], [6, 1]], 3109/1074954240], [[[1, 7], [2, 8], [4, 1], [5, 2]], 13181/1658880000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 14369/2149908480], [[[1, 7], [2, 8], [4, 1], [8, 2]], 1/184320], [[[1, 7], [2, 8], [4, 1], [10, 2]], 199049/6635520000], [[[1, 7], [2, 8], [4, 2], [6, 3]], 265/5971968], [[[1, 7], [2, 8], [4, 2], [7, 1]], 8291/247726080], [[[1, 7], [2, 8], [4, 2], [14, 1]], 9293/123863040], [[[1, 7], [2, 8], [4, 3], [5, 1]], 161/2949120], [[[1, 7], [2, 8], [4, 3], [6, 2]], 7219/70778880], [[[1, 7], [2, 8], [4, 3], [8, 1]], 17389/70778880], [[[1, 7], [2, 8], [4, 3], [10, 1]], 6637/58982400], [[[1, 7], [2, 8], [4, 4], [6, 1]], 6151/70778880], [[[1, 7], [2, 8], [5, 1], [6, 3]], 7/1382400], [[[1, 7], [2, 8], [5, 1], [7, 1]], 11533/2322432000], [[[1, 7], [2, 8], [5, 1], [14, 1]], 31/6451200], [[[1, 7], [2, 8], [5, 2], [6, 1]], 821/165888000], [[[1, 7], [2, 8], [6, 1], [10, 2]], 195589/17418240000], [[[1, 7], [2, 8], [6, 2], [7, 1]], 19/23224320], [[[1, 7], [2, 8], [6, 2], [14, 1]], 168151/14631321600], [[[1, 7], [2, 8], [6, 2], [18, 1]], 22843/3135283200], [[[1, 7], [2, 8], [6, 3], [8, 1]], 31/39813120], [[[1, 7], [2, 8], [6, 3], [10, 1]], 25543/4478976000], [[[1, 7], [2, 8], [7, 1], [8, 1]], 1/3440640], [[[1, 7], [2, 8], [7, 1], [10, 1]], 19/6451200], [[[1, 7], [2, 8], [8, 1], [14, 1]], 19/10321920], [[[1, 7], [2, 8], [10, 1], [14, 1]], 8471/580608000], [[[1, 7], [2, 10], [3, 1], [4, 3]], 4931/424673280], [[[1, 7], [2, 10], [3, 1], [6, 3]], 376961/11147673600], [[[1, 7], [2, 10], [3, 1], [7, 1]], 503/2229534720], [[[1, 7], [2, 10], [3, 1], [9, 1]], 23/191102976], [[[1, 7], [2, 10], [3, 1], [14, 1]], 43/18063360], [[[1, 7], [2, 10], [3, 2], [4, 2]], 3173/1486356480], [[[1, 7], [2, 10], [3, 2], [5, 1]], 233/1592524800], [[[1, 7], [2, 10], [3, 2], [6, 2]], 289543/8918138880], [[[1, 7], [2, 10], [3, 2], [10, 1]], 493/995328000], [[[1, 7], [2, 10], [3, 3], [4, 1]], 43/286654464], [[[1, 7], [2, 10], [3, 3], [6, 1]], 9701/8026324992], [[[1, 7], [2, 10], [4, 1], [6, 3]], 180287/6019743744], [[[1, 7], [2, 10], [4, 1], [7, 1]], 1117/743178240], [[[1, 7], [2, 10], [4, 1], [14, 1]], 104003/5573836800], [[[1, 7], [2, 10], [4, 2], [5, 1]], 19909/3096576000], [[[1, 7], [2, 10], [4, 2], [6, 2]], 52837/637009920], [[[1, 7], [2, 10], [4, 2], [8, 1]], 135787/4246732800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 51071/884736000], [[[1, 7], [2, 10], [4, 3], [6, 1]], 40409/495452160], [[[1, 7], [2, 10], [5, 1], [6, 2]], 23/7372800], [[[1, 7], [2, 10], [5, 1], [10, 1]], 1320773/418037760000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 37/92897280], [[[1, 7], [2, 10], [6, 1], [14, 1]], 8551787/877879296000], [[[1, 7], [2, 10], [6, 1], [18, 1]], 531737/376233984000], [[[1, 7], [2, 10], [6, 2], [8, 1]], 91/53084160], [[[1, 7], [2, 10], [6, 2], [10, 1]], 1285943/83607552000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 31/24576000], [[[1, 7], [2, 12], [3, 1], [4, 2]], 349781/267544166400], [[[1, 7], [2, 12], [3, 1], [5, 1]], 19/3538944000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 4250933/501645312000], [[[1, 7], [2, 12], [3, 1], [10, 1]], 12823/20901888000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 33001/401316249600], [[[1, 7], [2, 12], [3, 2], [6, 1]], 21061/33443020800], [[[1, 7], [2, 12], [4, 1], [5, 1]], 31531/111476736000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 105631759/6019743744000], [[[1, 7], [2, 12], [4, 1], [8, 1]], 892697/668860416000], [[[1, 7], [2, 12], [4, 1], [10, 1]], 13708987/1672151040000], [[[1, 7], [2, 12], [4, 2], [6, 1]], 330997/14863564800], [[[1, 7], [2, 12], [5, 1], [6, 1]], 2809/9289728000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 79/206438400], [[[1, 7], [2, 12], [6, 1], [10, 1]], 13969769/2508226560000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 581081/8026324992000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 1134757/3210529996800], [[[1, 7], [2, 14], [4, 1], [6, 1]], 702973/343985356800], [[[1, 7], [3, 1], [4, 2], [5, 3]], 1/768000], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/451584], [[[1, 7], [3, 1], [5, 1], [7, 2]], 1/35280], [[[1, 7], [3, 1], [5, 2], [10, 2]], 1/115200], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/22400], [[[1, 7], [3, 2], [5, 2], [9, 1]], 1/10368], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/4147200], [[[1, 7], [3, 3], [7, 1], [9, 1]], 1/36288], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/1741824], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1/746496], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/54432], [[[1, 7], [3, 4], [5, 1], [9, 1]], 1/23328], [[[1, 7], [3, 6], [4, 1], [8, 1]], 1/3359232], [[[1, 7], [4, 1], [5, 3], [8, 1]], 1/1920000], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/225792], [[[1, 7], [4, 2], [5, 2], [7, 1]], 1/1075200], [[[1, 8], [2, 1], [3, 2], [5, 3]], 133/2160000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 131/3870720], [[[1, 8], [2, 1], [3, 2], [9, 2]], 31/14929920], [[[1, 8], [2, 1], [3, 4], [5, 2]], 239/9331200], [[[1, 8], [2, 1], [3, 5], [4, 3]], 1/5971968], [[[1, 8], [2, 1], [3, 5], [7, 1]], 17/1306368], [[[1, 8], [2, 1], [3, 5], [9, 1]], 35/1679616], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/8957952], [[[1, 8], [2, 1], [3, 6], [5, 1]], 7/2099520], [[[1, 8], [2, 1], [3, 6], [8, 1]], 1/3359232], [[[1, 8], [2, 1], [3, 7], [4, 1]], 1/1259712], [[[1, 8], [2, 1], [3, 7], [6, 1]], 1/314928], [[[1, 8], [2, 1], [4, 2], [5, 3]], 13/15360000], [[[1, 8], [2, 1], [4, 2], [7, 2]], 1/200704], [[[1, 8], [2, 1], [5, 1], [7, 2]], 1/20160], [[[1, 8], [2, 1], [5, 1], [10, 3]], 1/46080000], [[[1, 8], [2, 1], [5, 2], [10, 2]], 31/18432000], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/1920000], [[[1, 8], [2, 1], [5, 3], [10, 1]], 193/46080000], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/225792], [[[1, 8], [2, 3], [3, 1], [5, 3]], 19/240000], [[[1, 8], [2, 3], [3, 1], [7, 2]], 199/2709504], [[[1, 8], [2, 3], [3, 2], [4, 5]], 1/2359296], [[[1, 8], [2, 3], [3, 3], [4, 4]], 1/331776], [[[1, 8], [2, 3], [3, 3], [5, 2]], 433/5529600], [[[1, 8], [2, 3], [3, 4], [4, 3]], 71/7962624], [[[1, 8], [2, 3], [3, 4], [6, 3]], 29/1679616], [[[1, 8], [2, 3], [3, 4], [7, 1]], 841/20901888], [[[1, 8], [2, 3], [3, 4], [9, 1]], 49/995328], [[[1, 8], [2, 3], [3, 5], [4, 2]], 311/17915904], [[[1, 8], [2, 3], [3, 5], [5, 1]], 1/77760], [[[1, 8], [2, 3], [3, 5], [6, 2]], 907/10077696], [[[1, 8], [2, 3], [3, 5], [8, 1]], 1/497664], [[[1, 8], [2, 3], [3, 5], [10, 1]], 7/2799360], [[[1, 8], [2, 3], [3, 6], [4, 1]], 143/20155392], [[[1, 8], [2, 3], [3, 6], [6, 1]], 73/3359232], [[[1, 8], [2, 3], [4, 1], [5, 3]], 1501/18432000], [[[1, 8], [2, 3], [4, 1], [7, 2]], 17/193536], [[[1, 8], [2, 3], [4, 1], [10, 3]], 1/92160000], [[[1, 8], [2, 3], [4, 3], [5, 2]], 351/8192000], [[[1, 8], [2, 3], [4, 3], [8, 2]], 7/147456], [[[1, 8], [2, 3], [4, 3], [12, 2]], 1/2211840], [[[1, 8], [2, 3], [4, 3], [20, 1]], 1/614400], [[[1, 8], [2, 3], [4, 4], [7, 1]], 1/196608], [[[1, 8], [2, 3], [4, 5], [5, 1]], 1/655360], [[[1, 8], [2, 3], [4, 5], [8, 1]], 109/11796480], [[[1, 8], [2, 3], [4, 5], [12, 1]], 1/368640], [[[1, 8], [2, 3], [5, 2], [7, 1]], 41/430080], [[[1, 8], [2, 3], [5, 3], [6, 1]], 13/5760000], [[[1, 8], [2, 3], [6, 1], [7, 2]], 1/75264], [[[1, 8], [2, 3], [6, 1], [10, 3]], 1/138240000], [[[1, 8], [2, 3], [6, 1], [14, 2]], 1/27095040], [[[1, 8], [2, 3], [10, 2], [14, 1]], 1/64512000], [[[1, 8], [2, 5], [3, 1], [4, 5]], 29/1474560], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/268738560], [[[1, 8], [2, 5], [3, 2], [4, 4]], 701/17694720], [[[1, 8], [2, 5], [3, 2], [5, 2]], 167/3456000], [[[1, 8], [2, 5], [3, 2], [6, 4]], 643/179159040], [[[1, 8], [2, 5], [3, 2], [10, 2]], 1/27648000], [[[1, 8], [2, 5], [3, 3], [4, 3]], 2131/26542080], [[[1, 8], [2, 5], [3, 3], [6, 3]], 91/829440], [[[1, 8], [2, 5], [3, 3], [7, 1]], 41/1244160], [[[1, 8], [2, 5], [3, 3], [9, 1]], 151/4976640], [[[1, 8], [2, 5], [3, 4], [4, 2]], 8191/143327232], [[[1, 8], [2, 5], [3, 4], [5, 1]], 13/995328], [[[1, 8], [2, 5], [3, 4], [6, 2]], 6751/35831808], [[[1, 8], [2, 5], [3, 4], [8, 1]], 61/23887872], [[[1, 8], [2, 5], [3, 4], [10, 1]], 11/1492992], [[[1, 8], [2, 5], [3, 5], [4, 1]], 265/23887872], [[[1, 8], [2, 5], [3, 5], [6, 1]], 5077/161243136], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/1074954240], [[[1, 8], [2, 5], [4, 2], [5, 2]], 1651/11059200], [[[1, 8], [2, 5], [4, 2], [6, 4]], 31/955514880], [[[1, 8], [2, 5], [4, 2], [8, 2]], 143/1474560], [[[1, 8], [2, 5], [4, 2], [10, 2]], 221/98304000], [[[1, 8], [2, 5], [4, 3], [7, 1]], 1721/20643840], [[[1, 8], [2, 5], [4, 3], [14, 1]], 5/458752], [[[1, 8], [2, 5], [4, 4], [5, 1]], 941/14745600], [[[1, 8], [2, 5], [4, 4], [6, 2]], 11/4718592], [[[1, 8], [2, 5], [4, 4], [8, 1]], 2039/11796480], [[[1, 8], [2, 5], [4, 4], [10, 1]], 11/1310720], [[[1, 8], [2, 5], [4, 4], [12, 1]], 7/737280], [[[1, 8], [2, 5], [4, 5], [6, 1]], 43/7077888], [[[1, 8], [2, 5], [5, 1], [10, 2]], 14053/1935360000], [[[1, 8], [2, 5], [5, 2], [6, 2]], 89/20736000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 89/7372800], [[[1, 8], [2, 5], [5, 2], [10, 1]], 1877/46080000], [[[1, 8], [2, 5], [6, 2], [10, 2]], 11/44236800], [[[1, 8], [2, 5], [6, 3], [14, 1]], 103/836075520], [[[1, 8], [2, 5], [6, 3], [18, 1]], 11/39813120], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1/447897600], [[[1, 8], [2, 7], [3, 1], [4, 4]], 6151/70778880], [[[1, 8], [2, 7], [3, 1], [5, 2]], 195589/17418240000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 3109/1074954240], [[[1, 8], [2, 7], [3, 1], [10, 2]], 821/165888000], [[[1, 8], [2, 7], [3, 2], [4, 3]], 7219/70778880], [[[1, 8], [2, 7], [3, 2], [6, 3]], 26161/358318080], [[[1, 8], [2, 7], [3, 2], [7, 1]], 168151/14631321600], [[[1, 8], [2, 7], [3, 2], [9, 1]], 22843/3135283200], [[[1, 8], [2, 7], [3, 2], [14, 1]], 19/23224320], [[[1, 8], [2, 7], [3, 3], [4, 2]], 265/5971968], [[[1, 8], [2, 7], [3, 3], [5, 1]], 25543/4478976000], [[[1, 8], [2, 7], [3, 3], [6, 2]], 1309/9953280], [[[1, 8], [2, 7], [3, 3], [8, 1]], 31/39813120], [[[1, 8], [2, 7], [3, 3], [10, 1]], 7/1382400], [[[1, 8], [2, 7], [3, 4], [4, 1]], 14369/2149908480], [[[1, 8], [2, 7], [3, 4], [6, 1]], 6499/358318080], [[[1, 8], [2, 7], [4, 1], [5, 2]], 199049/6635520000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 1307/2149908480], [[[1, 8], [2, 7], [4, 1], [8, 2]], 1/184320], [[[1, 8], [2, 7], [4, 1], [10, 2]], 13181/1658880000], [[[1, 8], [2, 7], [4, 2], [6, 3]], 6697/955514880], [[[1, 8], [2, 7], [4, 2], [7, 1]], 9293/123863040], [[[1, 8], [2, 7], [4, 2], [14, 1]], 8291/247726080], [[[1, 8], [2, 7], [4, 3], [5, 1]], 6637/58982400], [[[1, 8], [2, 7], [4, 3], [6, 2]], 169/5308416], [[[1, 8], [2, 7], [4, 3], [8, 1]], 17389/70778880], [[[1, 8], [2, 7], [4, 3], [10, 1]], 161/2949120], [[[1, 8], [2, 7], [4, 4], [6, 1]], 3779/70778880], [[[1, 8], [2, 7], [5, 1], [6, 3]], 31/24883200], [[[1, 8], [2, 7], [5, 1], [7, 1]], 8471/580608000], [[[1, 8], [2, 7], [5, 1], [14, 1]], 19/6451200], [[[1, 8], [2, 7], [5, 2], [6, 1]], 181/16588800], [[[1, 8], [2, 7], [6, 1], [10, 2]], 359/122880000], [[[1, 8], [2, 7], [6, 2], [7, 1]], 31/23224320], [[[1, 8], [2, 7], [6, 2], [14, 1]], 1031/398131200], [[[1, 8], [2, 7], [6, 2], [18, 1]], 457/199065600], [[[1, 8], [2, 7], [6, 3], [10, 1]], 3073/3583180800], [[[1, 8], [2, 7], [7, 1], [8, 1]], 19/10321920], [[[1, 8], [2, 7], [7, 1], [10, 1]], 31/6451200], [[[1, 8], [2, 7], [8, 1], [14, 1]], 1/3440640], [[[1, 8], [2, 7], [10, 1], [14, 1]], 11533/2322432000], [[[1, 8], [2, 9], [3, 1], [4, 3]], 17257/424673280], [[[1, 8], [2, 9], [3, 1], [6, 3]], 5810929/300987187200], [[[1, 8], [2, 9], [3, 1], [7, 1]], 9839/5573836800], [[[1, 8], [2, 9], [3, 1], [9, 1]], 431/796262400], [[[1, 8], [2, 9], [3, 1], [14, 1]], 79/27869184], [[[1, 8], [2, 9], [3, 2], [4, 2]], 94397/6370099200], [[[1, 8], [2, 9], [3, 2], [5, 1]], 2153/1592524800], [[[1, 8], [2, 9], [3, 2], [6, 2]], 169219/3344302080], [[[1, 8], [2, 9], [3, 2], [8, 1]], 1/35389440], [[[1, 8], [2, 9], [3, 2], [10, 1]], 253/165888000], [[[1, 8], [2, 9], [3, 3], [4, 1]], 28613/14332723200], [[[1, 8], [2, 9], [3, 3], [6, 1]], 58843/9555148800], [[[1, 8], [2, 9], [4, 1], [6, 3]], 107099/9405849600], [[[1, 8], [2, 9], [4, 1], [7, 1]], 1201/176947200], [[[1, 8], [2, 9], [4, 1], [14, 1]], 84767/5573836800], [[[1, 8], [2, 9], [4, 2], [5, 1]], 129529/5308416000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 211703/4246732800], [[[1, 8], [2, 9], [4, 2], [8, 1]], 34093/707788800], [[[1, 8], [2, 9], [4, 2], [10, 1]], 526019/10616832000], [[[1, 8], [2, 9], [4, 3], [6, 1]], 16687/212336640], [[[1, 8], [2, 9], [5, 1], [6, 2]], 101/33177600], [[[1, 8], [2, 9], [5, 1], [8, 1]], 1/9830400], [[[1, 8], [2, 9], [5, 1], [10, 1]], 18167239/3344302080000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 11/6635520], [[[1, 8], [2, 9], [6, 1], [14, 1]], 886307/156067430400], [[[1, 8], [2, 9], [6, 1], [18, 1]], 5237/4459069440], [[[1, 8], [2, 9], [6, 2], [8, 1]], 1/1658880], [[[1, 8], [2, 9], [6, 2], [10, 1]], 201787/33443020800], [[[1, 8], [2, 9], [8, 1], [10, 1]], 1/1474560], [[[1, 8], [2, 11], [3, 1], [4, 2]], 164809/33443020800], [[[1, 8], [2, 11], [3, 1], [5, 1]], 1609/15925248000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 2420227/214990848000], [[[1, 8], [2, 11], [3, 1], [10, 1]], 16517/13934592000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 130313/267544166400], [[[1, 8], [2, 11], [3, 2], [6, 1]], 434213/200658124800], [[[1, 8], [2, 11], [4, 1], [5, 1]], 19673/14863564800], [[[1, 8], [2, 11], [4, 1], [6, 2]], 49415417/3009871872000], [[[1, 8], [2, 11], [4, 1], [8, 1]], 3374963/1337720832000], [[[1, 8], [2, 11], [4, 1], [10, 1]], 8423411/836075520000], [[[1, 8], [2, 11], [4, 2], [6, 1]], 47189/1528823808], [[[1, 8], [2, 11], [5, 1], [6, 1]], 3509/4644864000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 109/265420800], [[[1, 8], [2, 11], [6, 1], [10, 1]], 48872083/10032906240000], [[[1, 8], [2, 13], [3, 1], [4, 1]], 459211/1605264998400], [[[1, 8], [2, 13], [3, 1], [6, 1]], 42917327/48157949952000], [[[1, 8], [2, 13], [4, 1], [6, 1]], 45332573/12039487488000], [[[1, 9], [2, 2], [3, 1], [5, 3]], 59/960000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 151/4515840], [[[1, 9], [2, 2], [3, 3], [4, 4]], 1/1769472], [[[1, 9], [2, 2], [3, 3], [5, 2]], 19939/248832000], [[[1, 9], [2, 2], [3, 4], [4, 3]], 25/15925248], [[[1, 9], [2, 2], [3, 4], [7, 1]], 3443/104509440], [[[1, 9], [2, 2], [3, 4], [9, 1]], 481/14929920], [[[1, 9], [2, 2], [3, 5], [4, 2]], 29/5971968], [[[1, 9], [2, 2], [3, 5], [5, 1]], 1/51840], [[[1, 9], [2, 2], [3, 5], [6, 2]], 127/10077696], [[[1, 9], [2, 2], [3, 5], [8, 1]], 7/4478976], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/2799360], [[[1, 9], [2, 2], [3, 6], [4, 1]], 67/10077696], [[[1, 9], [2, 2], [3, 6], [6, 1]], 169/10077696], [[[1, 9], [2, 2], [4, 1], [5, 3]], 2779/92160000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 67/2709504], [[[1, 9], [2, 2], [4, 3], [5, 2]], 29/12288000], [[[1, 9], [2, 2], [4, 3], [8, 2]], 1/2949120], [[[1, 9], [2, 2], [4, 4], [7, 1]], 1/1376256], [[[1, 9], [2, 2], [5, 2], [7, 1]], 1909/32256000], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/5760000], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/677376], [[[1, 9], [2, 4], [3, 1], [4, 5]], 7/2359296], [[[1, 9], [2, 4], [3, 2], [4, 4]], 349/23592960], [[[1, 9], [2, 4], [3, 2], [5, 2]], 4979/55296000], [[[1, 9], [2, 4], [3, 2], [6, 4]], 11/59719680], [[[1, 9], [2, 4], [3, 3], [4, 3]], 18787/418037760], [[[1, 9], [2, 4], [3, 3], [6, 3]], 2993/156764160], [[[1, 9], [2, 4], [3, 3], [7, 1]], 137/2580480], [[[1, 9], [2, 4], [3, 3], [9, 1]], 353/9953280], [[[1, 9], [2, 4], [3, 4], [4, 2]], 45041/716636160], [[[1, 9], [2, 4], [3, 4], [5, 1]], 29/829440], [[[1, 9], [2, 4], [3, 4], [6, 2]], 4133/35831808], [[[1, 9], [2, 4], [3, 4], [8, 1]], 55/11943936], [[[1, 9], [2, 4], [3, 4], [10, 1]], 61/12441600], [[[1, 9], [2, 4], [3, 5], [4, 1]], 5503/214990848], [[[1, 9], [2, 4], [3, 5], [6, 1]], 8569/161243136], [[[1, 9], [2, 4], [4, 2], [5, 2]], 65297/619315200], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/955514880], [[[1, 9], [2, 4], [4, 2], [8, 2]], 1667/82575360], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/8192000], [[[1, 9], [2, 4], [4, 3], [7, 1]], 59/1769472], [[[1, 9], [2, 4], [4, 4], [5, 1]], 383/19660800], [[[1, 9], [2, 4], [4, 4], [8, 1]], 161/5898240], [[[1, 9], [2, 4], [4, 4], [12, 1]], 1/2211840], [[[1, 9], [2, 4], [5, 1], [10, 2]], 10343/11612160000], [[[1, 9], [2, 4], [5, 2], [6, 2]], 19/12902400], [[[1, 9], [2, 4], [5, 2], [8, 1]], 89/9216000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 1853/129024000], [[[1, 9], [2, 4], [6, 2], [10, 2]], 1/132710400], [[[1, 9], [2, 4], [6, 3], [14, 1]], 1/278691840], [[[1, 9], [2, 4], [6, 3], [18, 1]], 1/119439360], [[[1, 9], [2, 6], [3, 1], [4, 4]], 3721/55050240], [[[1, 9], [2, 6], [3, 1], [5, 2]], 992129/34836480000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 1/4423680], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/1536000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 49/368640], [[[1, 9], [2, 6], [3, 2], [6, 3]], 3671/167215104], [[[1, 9], [2, 6], [3, 2], [7, 1]], 795161/29262643200], [[[1, 9], [2, 6], [3, 2], [9, 1]], 73883/6270566400], [[[1, 9], [2, 6], [3, 2], [14, 1]], 1/7741440], [[[1, 9], [2, 6], [3, 3], [4, 2]], 3227/31850496], [[[1, 9], [2, 6], [3, 3], [5, 1]], 191941/8957952000], [[[1, 9], [2, 6], [3, 3], [6, 2]], 480203/3762339840], [[[1, 9], [2, 6], [3, 3], [8, 1]], 7/2211840], [[[1, 9], [2, 6], [3, 3], [10, 1]], 523/74649600], [[[1, 9], [2, 6], [3, 4], [4, 1]], 7679/286654464], [[[1, 9], [2, 6], [3, 4], [6, 1]], 5779/119439360], [[[1, 9], [2, 6], [4, 1], [5, 2]], 12811/221184000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 107/2866544640], [[[1, 9], [2, 6], [4, 1], [8, 2]], 1/294912], [[[1, 9], [2, 6], [4, 1], [10, 2]], 247/294912000], [[[1, 9], [2, 6], [4, 2], [6, 3]], 11/47775744], [[[1, 9], [2, 6], [4, 2], [7, 1]], 2063/24772608], [[[1, 9], [2, 6], [4, 2], [14, 1]], 1649/247726080], [[[1, 9], [2, 6], [4, 3], [5, 1]], 4849/44236800], [[[1, 9], [2, 6], [4, 3], [6, 2]], 1261/424673280], [[[1, 9], [2, 6], [4, 3], [8, 1]], 28649/220200960], [[[1, 9], [2, 6], [4, 3], [10, 1]], 1261/117964800], [[[1, 9], [2, 6], [4, 4], [6, 1]], 317/23592960], [[[1, 9], [2, 6], [5, 1], [7, 1]], 27173/1161216000], [[[1, 9], [2, 6], [5, 1], [14, 1]], 1/2150400], [[[1, 9], [2, 6], [5, 2], [6, 1]], 131/12096000], [[[1, 9], [2, 6], [6, 1], [10, 2]], 19/55296000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 61/69672960], [[[1, 9], [2, 6], [6, 2], [14, 1]], 41/139345920], [[[1, 9], [2, 6], [6, 2], [18, 1]], 1/3732480], [[[1, 9], [2, 6], [6, 3], [10, 1]], 13/149299200], [[[1, 9], [2, 6], [7, 1], [8, 1]], 31/10321920], [[[1, 9], [2, 6], [7, 1], [10, 1]], 61/19353600], [[[1, 9], [2, 6], [10, 1], [14, 1]], 1/1612800], [[[1, 9], [2, 8], [3, 1], [4, 3]], 16687/212336640], [[[1, 9], [2, 8], [3, 1], [6, 3]], 58843/9555148800], [[[1, 9], [2, 8], [3, 1], [7, 1]], 886307/156067430400], [[[1, 9], [2, 8], [3, 1], [9, 1]], 5237/4459069440], [[[1, 9], [2, 8], [3, 1], [14, 1]], 11/6635520], [[[1, 9], [2, 8], [3, 2], [4, 2]], 211703/4246732800], [[[1, 9], [2, 8], [3, 2], [5, 1]], 201787/33443020800], [[[1, 9], [2, 8], [3, 2], [6, 2]], 169219/3344302080], [[[1, 9], [2, 8], [3, 2], [8, 1]], 1/1658880], [[[1, 9], [2, 8], [3, 2], [10, 1]], 101/33177600], [[[1, 9], [2, 8], [3, 3], [4, 1]], 107099/9405849600], [[[1, 9], [2, 8], [3, 3], [6, 1]], 5810929/300987187200], [[[1, 9], [2, 8], [4, 1], [6, 3]], 28613/14332723200], [[[1, 9], [2, 8], [4, 1], [7, 1]], 84767/5573836800], [[[1, 9], [2, 8], [4, 1], [14, 1]], 1201/176947200], [[[1, 9], [2, 8], [4, 2], [5, 1]], 526019/10616832000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 94397/6370099200], [[[1, 9], [2, 8], [4, 2], [8, 1]], 34093/707788800], [[[1, 9], [2, 8], [4, 2], [10, 1]], 129529/5308416000], [[[1, 9], [2, 8], [4, 3], [6, 1]], 17257/424673280], [[[1, 9], [2, 8], [5, 1], [6, 2]], 253/165888000], [[[1, 9], [2, 8], [5, 1], [8, 1]], 1/1474560], [[[1, 9], [2, 8], [5, 1], [10, 1]], 18167239/3344302080000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 79/27869184], [[[1, 9], [2, 8], [6, 1], [14, 1]], 9839/5573836800], [[[1, 9], [2, 8], [6, 1], [18, 1]], 431/796262400], [[[1, 9], [2, 8], [6, 2], [8, 1]], 1/35389440], [[[1, 9], [2, 8], [6, 2], [10, 1]], 2153/1592524800], [[[1, 9], [2, 8], [8, 1], [10, 1]], 1/9830400], [[[1, 9], [2, 10], [3, 1], [4, 2]], 304163/22295347200], [[[1, 9], [2, 10], [3, 1], [5, 1]], 12029/15925248000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 421483/44590694400], [[[1, 9], [2, 10], [3, 1], [8, 1]], 1/35389440], [[[1, 9], [2, 10], [3, 1], [10, 1]], 1489/995328000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 10049/3822059520], [[[1, 9], [2, 10], [3, 2], [6, 1]], 59609/11147673600], [[[1, 9], [2, 10], [4, 1], [5, 1]], 1421/353894400], [[[1, 9], [2, 10], [4, 1], [6, 2]], 4671341/535088332800], [[[1, 9], [2, 10], [4, 1], [8, 1]], 2152817/668860416000], [[[1, 9], [2, 10], [4, 1], [10, 1]], 3501487/445906944000], [[[1, 9], [2, 10], [4, 2], [6, 1]], 6902159/267544166400], [[[1, 9], [2, 10], [5, 1], [6, 1]], 1703/1327104000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 7/35389440], [[[1, 9], [2, 10], [6, 1], [10, 1]], 21037/8257536000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 320701/401316249600], [[[1, 9], [2, 12], [3, 1], [6, 1]], 2647157/1783627776000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 34848553/8026324992000], [[[1, 9], [3, 1], [5, 2], [7, 1]], 731/32256000], [[[1, 9], [3, 1], [5, 2], [9, 1]], 193/41472000], [[[1, 9], [3, 2], [4, 2], [5, 2]], 13/11059200], [[[1, 9], [3, 2], [7, 1], [9, 1]], 1/215040], [[[1, 9], [3, 3], [4, 2], [7, 1]], 1/1990656], [[[1, 9], [3, 3], [4, 2], [9, 1]], 1/1990656], [[[1, 9], [3, 3], [5, 1], [7, 1]], 83/5443200], [[[1, 9], [3, 3], [5, 1], [9, 1]], 11/777600], [[[1, 9], [3, 4], [4, 2], [5, 1]], 1/2488320], [[[1, 9], [3, 5], [4, 1], [8, 1]], 1/4478976], [[[1, 10], [2, 1], [3, 1], [5, 3]], 2251/120960000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 277/40642560], [[[1, 10], [2, 1], [3, 3], [5, 2]], 171709/5225472000], [[[1, 10], [2, 1], [3, 4], [4, 3]], 11/47775744], [[[1, 10], [2, 1], [3, 4], [7, 1]], 6911/731566080], [[[1, 10], [2, 1], [3, 4], [9, 1]], 6733/940584960], [[[1, 10], [2, 1], [3, 5], [4, 2]], 1/3981312], [[[1, 10], [2, 1], [3, 5], [5, 1]], 73/6998400], [[[1, 10], [2, 1], [3, 5], [8, 1]], 1/4478976], [[[1, 10], [2, 1], [3, 6], [4, 1]], 13/10077696], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/419904], [[[1, 10], [2, 1], [4, 1], [5, 3]], 79/30720000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 1/387072], [[[1, 10], [2, 1], [4, 3], [5, 2]], 13/73728000], [[[1, 10], [2, 1], [5, 2], [7, 1]], 1361/96768000], [[[1, 10], [2, 3], [3, 1], [4, 5]], 1/2359296], [[[1, 10], [2, 3], [3, 2], [4, 4]], 91/35389440], [[[1, 10], [2, 3], [3, 2], [5, 2]], 36833/464486400], [[[1, 10], [2, 3], [3, 3], [4, 3]], 5491/557383680], [[[1, 10], [2, 3], [3, 3], [6, 3]], 179/156764160], [[[1, 10], [2, 3], [3, 3], [7, 1]], 38593/975421440], [[[1, 10], [2, 3], [3, 3], [9, 1]], 8101/418037760], [[[1, 10], [2, 3], [3, 4], [4, 2]], 253217/10032906240], [[[1, 10], [2, 3], [3, 4], [5, 1]], 1517/37324800], [[[1, 10], [2, 3], [3, 4], [6, 2]], 278519/11287019520], [[[1, 10], [2, 3], [3, 4], [8, 1]], 61/19906560], [[[1, 10], [2, 3], [3, 4], [10, 1]], 1717/1567641600], [[[1, 10], [2, 3], [3, 5], [4, 1]], 4681/214990848], [[[1, 10], [2, 3], [3, 5], [6, 1]], 209/5971968], [[[1, 10], [2, 3], [4, 2], [5, 2]], 83789/2903040000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 2051/1061683200], [[[1, 10], [2, 3], [4, 2], [10, 2]], 1/294912000], [[[1, 10], [2, 3], [4, 3], [7, 1]], 17/2949120], [[[1, 10], [2, 3], [4, 4], [5, 1]], 13/9830400], [[[1, 10], [2, 3], [4, 4], [8, 1]], 7/7864320], [[[1, 10], [2, 3], [5, 1], [10, 2]], 323/11612160000], [[[1, 10], [2, 3], [5, 2], [6, 2]], 2669/13063680000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 19/5734400], [[[1, 10], [2, 3], [5, 2], [10, 1]], 63727/29030400000], [[[1, 10], [2, 5], [3, 1], [4, 4]], 37973/1486356480], [[[1, 10], [2, 5], [3, 1], [5, 2]], 5251/129024000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1/179159040], [[[1, 10], [2, 5], [3, 1], [10, 2]], 1/110592000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 16853/212336640], [[[1, 10], [2, 5], [3, 2], [6, 3]], 55/15925248], [[[1, 10], [2, 5], [3, 2], [7, 1]], 10961/325140480], [[[1, 10], [2, 5], [3, 2], [9, 1]], 239/23224320], [[[1, 10], [2, 5], [3, 3], [4, 2]], 12659/125411328], [[[1, 10], [2, 5], [3, 3], [5, 1]], 803/19906560], [[[1, 10], [2, 5], [3, 3], [6, 2]], 160543/2508226560], [[[1, 10], [2, 5], [3, 3], [8, 1]], 523/119439360], [[[1, 10], [2, 5], [3, 3], [10, 1]], 179/43545600], [[[1, 10], [2, 5], [3, 4], [4, 1]], 1427/31850496], [[[1, 10], [2, 5], [3, 4], [6, 1]], 1340593/22574039040], [[[1, 10], [2, 5], [4, 1], [5, 2]], 8473/147456000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/955514880], [[[1, 10], [2, 5], [4, 1], [8, 2]], 11/9175040], [[[1, 10], [2, 5], [4, 1], [10, 2]], 23/442368000], [[[1, 10], [2, 5], [4, 2], [6, 3]], 7/955514880], [[[1, 10], [2, 5], [4, 2], [7, 1]], 123271/2601123840], [[[1, 10], [2, 5], [4, 2], [14, 1]], 97/247726080], [[[1, 10], [2, 5], [4, 3], [5, 1]], 21151/412876800], [[[1, 10], [2, 5], [4, 3], [6, 2]], 1/8847360], [[[1, 10], [2, 5], [4, 3], [8, 1]], 1110961/29727129600], [[[1, 10], [2, 5], [4, 3], [10, 1]], 1/2457600], [[[1, 10], [2, 5], [4, 4], [6, 1]], 17/17694720], [[[1, 10], [2, 5], [5, 1], [7, 1]], 31/1433600], [[[1, 10], [2, 5], [5, 2], [6, 1]], 8947/1632960000], [[[1, 10], [2, 5], [6, 1], [10, 2]], 7/663552000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 43/162570240], [[[1, 10], [2, 5], [6, 2], [14, 1]], 1/111476736], [[[1, 10], [2, 5], [6, 2], [18, 1]], 1/119439360], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1/398131200], [[[1, 10], [2, 5], [7, 1], [8, 1]], 61/30965760], [[[1, 10], [2, 5], [7, 1], [10, 1]], 43/45158400], [[[1, 10], [2, 5], [10, 1], [14, 1]], 1/51609600], [[[1, 10], [2, 7], [3, 1], [4, 3]], 40409/495452160], [[[1, 10], [2, 7], [3, 1], [6, 3]], 9701/8026324992], [[[1, 10], [2, 7], [3, 1], [7, 1]], 8551787/877879296000], [[[1, 10], [2, 7], [3, 1], [9, 1]], 531737/376233984000], [[[1, 10], [2, 7], [3, 1], [14, 1]], 37/92897280], [[[1, 10], [2, 7], [3, 2], [4, 2]], 52837/637009920], [[[1, 10], [2, 7], [3, 2], [5, 1]], 1285943/83607552000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 289543/8918138880], [[[1, 10], [2, 7], [3, 2], [8, 1]], 91/53084160], [[[1, 10], [2, 7], [3, 2], [10, 1]], 23/7372800], [[[1, 10], [2, 7], [3, 3], [4, 1]], 180287/6019743744], [[[1, 10], [2, 7], [3, 3], [6, 1]], 376961/11147673600], [[[1, 10], [2, 7], [4, 1], [6, 3]], 43/286654464], [[[1, 10], [2, 7], [4, 1], [7, 1]], 104003/5573836800], [[[1, 10], [2, 7], [4, 1], [14, 1]], 1117/743178240], [[[1, 10], [2, 7], [4, 2], [5, 1]], 51071/884736000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 3173/1486356480], [[[1, 10], [2, 7], [4, 2], [8, 1]], 135787/4246732800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 19909/3096576000], [[[1, 10], [2, 7], [4, 3], [6, 1]], 4931/424673280], [[[1, 10], [2, 7], [5, 1], [6, 2]], 493/995328000], [[[1, 10], [2, 7], [5, 1], [8, 1]], 31/24576000], [[[1, 10], [2, 7], [5, 1], [10, 1]], 1320773/418037760000], [[[1, 10], [2, 7], [6, 1], [7, 1]], 43/18063360], [[[1, 10], [2, 7], [6, 1], [14, 1]], 503/2229534720], [[[1, 10], [2, 7], [6, 1], [18, 1]], 23/191102976], [[[1, 10], [2, 7], [6, 2], [10, 1]], 233/1592524800], [[[1, 10], [2, 9], [3, 1], [4, 2]], 6902159/267544166400], [[[1, 10], [2, 9], [3, 1], [5, 1]], 21037/8257536000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 59609/11147673600], [[[1, 10], [2, 9], [3, 1], [8, 1]], 7/35389440], [[[1, 10], [2, 9], [3, 1], [10, 1]], 1703/1327104000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 4671341/535088332800], [[[1, 10], [2, 9], [3, 2], [6, 1]], 421483/44590694400], [[[1, 10], [2, 9], [4, 1], [5, 1]], 3501487/445906944000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 10049/3822059520], [[[1, 10], [2, 9], [4, 1], [8, 1]], 2152817/668860416000], [[[1, 10], [2, 9], [4, 1], [10, 1]], 1421/353894400], [[[1, 10], [2, 9], [4, 2], [6, 1]], 304163/22295347200], [[[1, 10], [2, 9], [5, 1], [6, 1]], 1489/995328000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 1/35389440], [[[1, 10], [2, 9], [6, 1], [10, 1]], 12029/15925248000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 242177/133772083200], [[[1, 10], [2, 11], [3, 1], [6, 1]], 29111791/16052649984000], [[[1, 10], [2, 11], [4, 1], [6, 1]], 7841/2378170368], [[[1, 11], [2, 2], [3, 2], [4, 4]], 19/70778880], [[[1, 11], [2, 2], [3, 2], [5, 2]], 74191/2322432000], [[[1, 11], [2, 2], [3, 3], [4, 3]], 1/1146880], [[[1, 11], [2, 2], [3, 3], [7, 1]], 5639/418037760], [[[1, 11], [2, 2], [3, 3], [9, 1]], 43/9289728], [[[1, 11], [2, 2], [3, 4], [4, 2]], 11569/3344302080], [[[1, 11], [2, 2], [3, 4], [5, 1]], 683/32659200], [[[1, 11], [2, 2], [3, 4], [6, 2]], 19169/11287019520], [[[1, 11], [2, 2], [3, 4], [8, 1]], 1717/2508226560], [[[1, 11], [2, 2], [3, 4], [10, 1]], 121/1567641600], [[[1, 11], [2, 2], [3, 5], [4, 1]], 49339/7524679680], [[[1, 11], [2, 2], [3, 5], [6, 1]], 14857/1881169920], [[[1, 11], [2, 2], [4, 2], [5, 2]], 76073/30965760000], [[[1, 11], [2, 2], [4, 2], [8, 2]], 409/7431782400], [[[1, 11], [2, 2], [4, 3], [7, 1]], 1/2949120], [[[1, 11], [2, 2], [4, 4], [5, 1]], 1/11796480], [[[1, 11], [2, 2], [4, 4], [8, 1]], 1/23592960], [[[1, 11], [2, 2], [5, 2], [6, 2]], 253/26127360000], [[[1, 11], [2, 2], [5, 2], [8, 1]], 2669/5806080000], [[[1, 11], [2, 2], [5, 2], [10, 1]], 389/2764800000], [[[1, 11], [2, 4], [3, 1], [4, 4]], 2099/495452160], [[[1, 11], [2, 4], [3, 1], [5, 2]], 23719/774144000], [[[1, 11], [2, 4], [3, 2], [4, 3]], 182881/8360755200], [[[1, 11], [2, 4], [3, 2], [6, 3]], 17483/75246796800], [[[1, 11], [2, 4], [3, 2], [7, 1]], 2873/130056192], [[[1, 11], [2, 4], [3, 2], [9, 1]], 661/139345920], [[[1, 11], [2, 4], [3, 3], [4, 2]], 13133/286654464], [[[1, 11], [2, 4], [3, 3], [5, 1]], 161069/4180377600], [[[1, 11], [2, 4], [3, 3], [6, 2]], 38093/2508226560], [[[1, 11], [2, 4], [3, 3], [8, 1]], 179/69672960], [[[1, 11], [2, 4], [3, 3], [10, 1]], 179/174182400], [[[1, 11], [2, 4], [3, 4], [4, 1]], 517787/15049359360], [[[1, 11], [2, 4], [3, 4], [6, 1]], 779347/22574039040], [[[1, 11], [2, 4], [4, 1], [5, 2]], 992659/34836480000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 103/530841600], [[[1, 11], [2, 4], [4, 1], [10, 2]], 1/884736000], [[[1, 11], [2, 4], [4, 2], [7, 1]], 178453/13005619200], [[[1, 11], [2, 4], [4, 2], [14, 1]], 1/82575360], [[[1, 11], [2, 4], [4, 3], [5, 1]], 49661/4644864000], [[[1, 11], [2, 4], [4, 3], [6, 2]], 1/424673280], [[[1, 11], [2, 4], [4, 3], [8, 1]], 12953/2477260800], [[[1, 11], [2, 4], [4, 3], [10, 1]], 1/117964800], [[[1, 11], [2, 4], [4, 4], [6, 1]], 1/17694720], [[[1, 11], [2, 4], [5, 1], [7, 1]], 859/77414400], [[[1, 11], [2, 4], [5, 2], [6, 1]], 73853/52254720000], [[[1, 11], [2, 4], [6, 2], [7, 1]], 271/7315660800], [[[1, 11], [2, 4], [7, 1], [8, 1]], 43/72253440], [[[1, 11], [2, 4], [7, 1], [10, 1]], 271/2032128000], [[[1, 11], [2, 6], [3, 1], [4, 3]], 10007/222953472], [[[1, 11], [2, 6], [3, 1], [6, 3]], 33113/200658124800], [[[1, 11], [2, 6], [3, 1], [7, 1]], 16791799/1755758592000], [[[1, 11], [2, 6], [3, 1], [9, 1]], 743419/752467968000], [[[1, 11], [2, 6], [3, 1], [14, 1]], 1/30965760], [[[1, 11], [2, 6], [3, 2], [4, 2]], 3541/49545216], [[[1, 11], [2, 6], [3, 2], [5, 1]], 369197/16721510400], [[[1, 11], [2, 6], [3, 2], [6, 2]], 15357947/1203948748800], [[[1, 11], [2, 6], [3, 2], [8, 1]], 17/8847360], [[[1, 11], [2, 6], [3, 2], [10, 1]], 563/348364800], [[[1, 11], [2, 6], [3, 3], [4, 1]], 4391/111476736], [[[1, 11], [2, 6], [3, 3], [6, 1]], 72193/2229534720], [[[1, 11], [2, 6], [4, 1], [6, 3]], 13/2866544640], [[[1, 11], [2, 6], [4, 1], [7, 1]], 1613/123863040], [[[1, 11], [2, 6], [4, 1], [14, 1]], 103/743178240], [[[1, 11], [2, 6], [4, 2], [5, 1]], 179219/4644864000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 4627/19110297600], [[[1, 11], [2, 6], [4, 2], [8, 1]], 233461/17836277760], [[[1, 11], [2, 6], [4, 2], [10, 1]], 4417/5308416000], [[[1, 11], [2, 6], [4, 3], [6, 1]], 2011/990904320], [[[1, 11], [2, 6], [5, 1], [6, 2]], 31/174182400], [[[1, 11], [2, 6], [5, 1], [8, 1]], 7/6912000], [[[1, 11], [2, 6], [5, 1], [10, 1]], 13687/12386304000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 3887/3657830400], [[[1, 11], [2, 6], [6, 1], [14, 1]], 19/1857945600], [[[1, 11], [2, 6], [6, 1], [18, 1]], 1/88473600], [[[1, 11], [2, 6], [6, 2], [10, 1]], 7/1592524800], [[[1, 11], [2, 8], [3, 1], [4, 2]], 47189/1528823808], [[[1, 11], [2, 8], [3, 1], [5, 1]], 48872083/10032906240000], [[[1, 11], [2, 8], [3, 1], [6, 2]], 434213/200658124800], [[[1, 11], [2, 8], [3, 1], [8, 1]], 109/265420800], [[[1, 11], [2, 8], [3, 1], [10, 1]], 3509/4644864000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 49415417/3009871872000], [[[1, 11], [2, 8], [3, 2], [6, 1]], 2420227/214990848000], [[[1, 11], [2, 8], [4, 1], [5, 1]], 8423411/836075520000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 130313/267544166400], [[[1, 11], [2, 8], [4, 1], [8, 1]], 3374963/1337720832000], [[[1, 11], [2, 8], [4, 1], [10, 1]], 19673/14863564800], [[[1, 11], [2, 8], [4, 2], [6, 1]], 164809/33443020800], [[[1, 11], [2, 8], [5, 1], [6, 1]], 16517/13934592000], [[[1, 11], [2, 8], [6, 1], [10, 1]], 1609/15925248000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 7841/2378170368], [[[1, 11], [2, 10], [3, 1], [6, 1]], 29111791/16052649984000], [[[1, 11], [2, 10], [4, 1], [6, 1]], 242177/133772083200], [[[1, 11], [3, 1], [4, 2], [5, 2]], 43/387072000], [[[1, 11], [3, 1], [7, 1], [9, 1]], 1/34836480], [[[1, 11], [3, 2], [4, 2], [7, 1]], 37/325140480], [[[1, 11], [3, 2], [4, 2], [9, 1]], 1/69672960], [[[1, 11], [3, 2], [5, 1], [7, 1]], 1327/406425600], [[[1, 11], [3, 2], [5, 1], [9, 1]], 19/34836480], [[[1, 11], [3, 3], [4, 2], [5, 1]], 17/99532800], [[[1, 11], [3, 4], [4, 1], [8, 1]], 121/2508226560], [[[1, 11], [4, 1], [5, 2], [8, 1]], 253/11612160000], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/12902400], [[[1, 12], [2, 1], [3, 2], [5, 2]], 153167/29859840000], [[[1, 12], [2, 1], [3, 3], [4, 3]], 23/334430208], [[[1, 12], [2, 1], [3, 3], [7, 1]], 180853/87787929600], [[[1, 12], [2, 1], [3, 3], [9, 1]], 17693/37623398400], [[[1, 12], [2, 1], [3, 4], [4, 2]], 653/6688604160], [[[1, 12], [2, 1], [3, 4], [5, 1]], 6511/1567641600], [[[1, 12], [2, 1], [3, 4], [8, 1]], 121/2508226560], [[[1, 12], [2, 1], [3, 5], [4, 1]], 4609/7524679680], [[[1, 12], [2, 1], [3, 5], [6, 1]], 1067/1881169920], [[[1, 12], [2, 1], [4, 2], [5, 2]], 487/7741440000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 1/3715891200], [[[1, 12], [2, 1], [4, 3], [7, 1]], 1/61931520], [[[1, 12], [2, 1], [5, 2], [8, 1]], 253/11612160000], [[[1, 12], [2, 1], [5, 2], [10, 1]], 29/11612160000], [[[1, 12], [2, 3], [3, 1], [4, 4]], 41/165150720], [[[1, 12], [2, 3], [3, 1], [5, 2]], 205679/17418240000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 12349/4954521600], [[[1, 12], [2, 3], [3, 2], [6, 3]], 31/9405849600], [[[1, 12], [2, 3], [3, 2], [7, 1]], 111241/14631321600], [[[1, 12], [2, 3], [3, 2], [9, 1]], 3473/3135283200], [[[1, 12], [2, 3], [3, 3], [4, 2]], 175213/18811699200], [[[1, 12], [2, 3], [3, 3], [5, 1]], 38657/2090188800], [[[1, 12], [2, 3], [3, 3], [6, 2]], 223297/135444234240], [[[1, 12], [2, 3], [3, 3], [8, 1]], 179/278691840], [[[1, 12], [2, 3], [3, 3], [10, 1]], 1283/11757312000], [[[1, 12], [2, 3], [3, 4], [4, 1]], 181193/15049359360], [[[1, 12], [2, 3], [3, 4], [6, 1]], 4555/501645312], [[[1, 12], [2, 3], [4, 1], [5, 2]], 380143/55738368000], [[[1, 12], [2, 3], [4, 1], [8, 2]], 47/3715891200], [[[1, 12], [2, 3], [4, 2], [7, 1]], 29069/15606743040], [[[1, 12], [2, 3], [4, 3], [5, 1]], 10973/12386304000], [[[1, 12], [2, 3], [4, 3], [8, 1]], 37/132710400], [[[1, 12], [2, 3], [5, 1], [7, 1]], 11/3612672], [[[1, 12], [2, 3], [5, 2], [6, 1]], 487/2903040000], [[[1, 12], [2, 3], [6, 2], [7, 1]], 1/447897600], [[[1, 12], [2, 3], [7, 1], [8, 1]], 271/3251404800], [[[1, 12], [2, 3], [7, 1], [10, 1]], 1/124416000], [[[1, 12], [2, 5], [3, 1], [4, 3]], 7121/557383680], [[[1, 12], [2, 5], [3, 1], [6, 3]], 953/66886041600], [[[1, 12], [2, 5], [3, 1], [7, 1]], 105817/19508428800], [[[1, 12], [2, 5], [3, 1], [9, 1]], 3307/8360755200], [[[1, 12], [2, 5], [3, 2], [4, 2]], 6429277/200658124800], [[[1, 12], [2, 5], [3, 2], [5, 1]], 54871/3096576000], [[[1, 12], [2, 5], [3, 2], [6, 2]], 71219/25082265600], [[[1, 12], [2, 5], [3, 2], [8, 1]], 563/557383680], [[[1, 12], [2, 5], [3, 2], [10, 1]], 31/74649600], [[[1, 12], [2, 5], [3, 3], [4, 1]], 90343/3344302080], [[[1, 12], [2, 5], [3, 3], [6, 1]], 45262673/2708884684800], [[[1, 12], [2, 5], [4, 1], [7, 1]], 201787/39016857600], [[[1, 12], [2, 5], [4, 1], [14, 1]], 1/247726080], [[[1, 12], [2, 5], [4, 2], [5, 1]], 785803/55738368000], [[[1, 12], [2, 5], [4, 2], [6, 2]], 4373/267544166400], [[[1, 12], [2, 5], [4, 2], [8, 1]], 45397/14863564800], [[[1, 12], [2, 5], [4, 2], [10, 1]], 4373/74317824000], [[[1, 12], [2, 5], [4, 3], [6, 1]], 1811/6370099200], [[[1, 12], [2, 5], [5, 1], [6, 2]], 187/5225472000], [[[1, 12], [2, 5], [5, 1], [8, 1]], 31/77414400], [[[1, 12], [2, 5], [5, 1], [10, 1]], 81307/371589120000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 11171/43893964800], [[[1, 12], [2, 5], [6, 1], [14, 1]], 1/7431782400], [[[1, 12], [2, 5], [6, 1], [18, 1]], 1/3185049600], [[[1, 12], [2, 7], [3, 1], [4, 2]], 330997/14863564800], [[[1, 12], [2, 7], [3, 1], [5, 1]], 13969769/2508226560000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 21061/33443020800], [[[1, 12], [2, 7], [3, 1], [8, 1]], 79/206438400], [[[1, 12], [2, 7], [3, 1], [10, 1]], 2809/9289728000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 105631759/6019743744000], [[[1, 12], [2, 7], [3, 2], [6, 1]], 4250933/501645312000], [[[1, 12], [2, 7], [4, 1], [5, 1]], 13708987/1672151040000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 33001/401316249600], [[[1, 12], [2, 7], [4, 1], [8, 1]], 892697/668860416000], [[[1, 12], [2, 7], [4, 1], [10, 1]], 31531/111476736000], [[[1, 12], [2, 7], [4, 2], [6, 1]], 349781/267544166400], [[[1, 12], [2, 7], [5, 1], [6, 1]], 12823/20901888000], [[[1, 12], [2, 7], [6, 1], [10, 1]], 19/3538944000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 34848553/8026324992000], [[[1, 12], [2, 9], [3, 1], [6, 1]], 2647157/1783627776000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 320701/401316249600], [[[1, 13], [2, 2], [3, 1], [4, 4]], 17/1486356480], [[[1, 13], [2, 2], [3, 1], [5, 2]], 154159/69672960000], [[[1, 13], [2, 2], [3, 2], [4, 3]], 241/2786918400], [[[1, 13], [2, 2], [3, 2], [7, 1]], 78977/58525286400], [[[1, 13], [2, 2], [3, 2], [9, 1]], 77/597196800], [[[1, 13], [2, 2], [3, 3], [4, 2]], 229/318504960], [[[1, 13], [2, 2], [3, 3], [5, 1]], 530239/125411328000], [[[1, 13], [2, 2], [3, 3], [6, 2]], 9061/135444234240], [[[1, 13], [2, 2], [3, 3], [8, 1]], 1283/18811699200], [[[1, 13], [2, 2], [3, 3], [10, 1]], 13/3359232000], [[[1, 13], [2, 2], [3, 4], [4, 1]], 336761/180592312320], [[[1, 13], [2, 2], [3, 4], [6, 1]], 24151/22574039040], [[[1, 13], [2, 2], [4, 1], [5, 2]], 14599/19906560000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 1/3715891200], [[[1, 13], [2, 2], [4, 2], [7, 1]], 2369/26011238400], [[[1, 13], [2, 2], [4, 3], [5, 1]], 17/516096000], [[[1, 13], [2, 2], [4, 3], [8, 1]], 79/29727129600], [[[1, 13], [2, 2], [5, 1], [7, 1]], 2293/5419008000], [[[1, 13], [2, 2], [5, 2], [6, 1]], 253/34836480000], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/21946982400], [[[1, 13], [2, 2], [7, 1], [8, 1]], 1/199065600], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/6096384000], [[[1, 13], [2, 4], [3, 1], [4, 3]], 46859/26754416640], [[[1, 13], [2, 4], [3, 1], [6, 3]], 13/18811699200], [[[1, 13], [2, 4], [3, 1], [7, 1]], 275707/156067430400], [[[1, 13], [2, 4], [3, 1], [9, 1]], 659/7431782400], [[[1, 13], [2, 4], [3, 2], [4, 2]], 841531/114661785600], [[[1, 13], [2, 4], [3, 2], [5, 1]], 93781/11943936000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 16853/50164531200], [[[1, 13], [2, 4], [3, 2], [8, 1]], 31/119439360], [[[1, 13], [2, 4], [3, 2], [10, 1]], 37/696729600], [[[1, 13], [2, 4], [3, 3], [4, 1]], 136373/14108774400], [[[1, 13], [2, 4], [3, 3], [6, 1]], 4920353/1083553873920], [[[1, 13], [2, 4], [4, 1], [7, 1]], 268409/234101145600], [[[1, 13], [2, 4], [4, 2], [5, 1]], 39707/14863564800], [[[1, 13], [2, 4], [4, 2], [6, 2]], 1/2229534720], [[[1, 13], [2, 4], [4, 2], [8, 1]], 69/183500800], [[[1, 13], [2, 4], [4, 2], [10, 1]], 1/619315200], [[[1, 13], [2, 4], [4, 3], [6, 1]], 481/22295347200], [[[1, 13], [2, 4], [5, 1], [6, 2]], 23/6270566400], [[[1, 13], [2, 4], [5, 1], [8, 1]], 187/2322432000], [[[1, 13], [2, 4], [5, 1], [10, 1]], 5227/222953472000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 1367/43893964800], [[[1, 13], [2, 6], [3, 1], [4, 2]], 417107/44590694400], [[[1, 13], [2, 6], [3, 1], [5, 1]], 9568957/2508226560000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 145631/1203948748800], [[[1, 13], [2, 6], [3, 1], [8, 1]], 169/928972800], [[[1, 13], [2, 6], [3, 1], [10, 1]], 97/1306368000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 2151593/200658124800], [[[1, 13], [2, 6], [3, 2], [6, 1]], 128269/33443020800], [[[1, 13], [2, 6], [4, 1], [5, 1]], 31949/7962624000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 17749/1605264998400], [[[1, 13], [2, 6], [4, 1], [8, 1]], 129007/297271296000], [[[1, 13], [2, 6], [4, 1], [10, 1]], 17749/445906944000], [[[1, 13], [2, 6], [4, 2], [6, 1]], 65557/267544166400], [[[1, 13], [2, 6], [5, 1], [6, 1]], 23587/125411328000], [[[1, 13], [2, 6], [6, 1], [10, 1]], 1/10616832000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 45332573/12039487488000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 42917327/48157949952000], [[[1, 13], [2, 8], [4, 1], [6, 1]], 459211/1605264998400], [[[1, 13], [3, 1], [4, 2], [7, 1]], 121/39016857600], [[[1, 13], [3, 1], [4, 2], [9, 1]], 1/16721510400], [[[1, 13], [3, 1], [5, 1], [7, 1]], 2879/24385536000], [[[1, 13], [3, 1], [5, 1], [9, 1]], 29/10450944000], [[[1, 13], [3, 2], [4, 2], [5, 1]], 11/928972800], [[[1, 13], [3, 3], [4, 1], [8, 1]], 13/5374771200], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/9754214400], [[[1, 14], [2, 1], [3, 1], [5, 2]], 4981/26127360000], [[[1, 14], [2, 1], [3, 2], [4, 3]], 451/133772083200], [[[1, 14], [2, 1], [3, 2], [7, 1]], 17/149299200], [[[1, 14], [2, 1], [3, 2], [9, 1]], 13/1881169920], [[[1, 14], [2, 1], [3, 3], [4, 2]], 229/25082265600], [[[1, 14], [2, 1], [3, 3], [5, 1]], 41203/94058496000], [[[1, 14], [2, 1], [3, 3], [8, 1]], 13/5374771200], [[[1, 14], [2, 1], [3, 4], [4, 1]], 2687/25798901760], [[[1, 14], [2, 1], [3, 4], [6, 1]], 37/806215680], [[[1, 14], [2, 1], [4, 1], [5, 2]], 7943/278691840000], [[[1, 14], [2, 1], [4, 2], [7, 1]], 17/26011238400], [[[1, 14], [2, 1], [4, 3], [5, 1]], 43/37158912000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1/29727129600], [[[1, 14], [2, 1], [5, 1], [7, 1]], 47/1741824000], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/9754214400], [[[1, 14], [2, 3], [3, 1], [4, 3]], 4391/44590694400], [[[1, 14], [2, 3], [3, 1], [6, 3]], 1/75246796800], [[[1, 14], [2, 3], [3, 1], [7, 1]], 38041/117050572800], [[[1, 14], [2, 3], [3, 1], [9, 1]], 37/3344302080], [[[1, 14], [2, 3], [3, 2], [4, 2]], 2236421/2809213747200], [[[1, 14], [2, 3], [3, 2], [5, 1]], 31/16515072], [[[1, 14], [2, 3], [3, 2], [6, 2]], 474109/25282923724800], [[[1, 14], [2, 3], [3, 2], [8, 1]], 37/1114767360], [[[1, 14], [2, 3], [3, 2], [10, 1]], 349/109734912000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 229457/128994508800], [[[1, 14], [2, 3], [3, 3], [6, 1]], 388831/601974374400], [[[1, 14], [2, 3], [4, 1], [7, 1]], 4499/33443020800], [[[1, 14], [2, 3], [4, 2], [5, 1]], 44831/185794560000], [[[1, 14], [2, 3], [4, 2], [8, 1]], 653/29727129600], [[[1, 14], [2, 3], [4, 3], [6, 1]], 1/1486356480], [[[1, 14], [2, 3], [5, 1], [6, 2]], 1/5598720000], [[[1, 14], [2, 3], [5, 1], [8, 1]], 23/2786918400], [[[1, 14], [2, 3], [5, 1], [10, 1]], 3667/2786918400000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 17/9754214400], [[[1, 14], [2, 5], [3, 1], [4, 2]], 1785769/802632499200], [[[1, 14], [2, 5], [3, 1], [5, 1]], 345907/222953472000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 1349/100329062400], [[[1, 14], [2, 5], [3, 1], [8, 1]], 97/2090188800], [[[1, 14], [2, 5], [3, 1], [10, 1]], 109/10450944000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 2001457/535088332800], [[[1, 14], [2, 5], [3, 2], [6, 1]], 25611493/25282923724800], [[[1, 14], [2, 5], [4, 1], [5, 1]], 1531529/1337720832000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 47/50164531200], [[[1, 14], [2, 5], [4, 1], [8, 1]], 74201/891813888000], [[[1, 14], [2, 5], [4, 1], [10, 1]], 47/13934592000], [[[1, 14], [2, 5], [4, 2], [6, 1]], 733/26754416640], [[[1, 14], [2, 5], [5, 1], [6, 1]], 5077/156764160000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 702973/343985356800], [[[1, 14], [2, 7], [3, 1], [6, 1]], 1134757/3210529996800], [[[1, 14], [2, 7], [4, 1], [6, 1]], 581081/8026324992000], [[[1, 15], [2, 2], [3, 1], [4, 3]], 19/8918138880], [[[1, 15], [2, 2], [3, 1], [7, 1]], 7583/234101145600], [[[1, 15], [2, 2], [3, 1], [9, 1]], 1/1337720832], [[[1, 15], [2, 2], [3, 2], [4, 2]], 15343/468202291200], [[[1, 15], [2, 2], [3, 2], [5, 1]], 13231/55738368000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 9127/25282923724800], [[[1, 15], [2, 2], [3, 2], [8, 1]], 349/175575859200], [[[1, 15], [2, 2], [3, 2], [10, 1]], 31/438939648000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 494083/3160365465600], [[[1, 15], [2, 2], [3, 3], [6, 1]], 567151/12641461862400], [[[1, 15], [2, 2], [4, 1], [7, 1]], 1751/234101145600], [[[1, 15], [2, 2], [4, 2], [5, 1]], 1201/139345920000], [[[1, 15], [2, 2], [4, 2], [8, 1]], 647/1337720832000], [[[1, 15], [2, 2], [5, 1], [6, 2]], 1/313528320000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 1/2488320000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 143/4180377600000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/29262643200], [[[1, 15], [2, 4], [3, 1], [4, 2]], 8072291/28092137472000], [[[1, 15], [2, 4], [3, 1], [5, 1]], 82603/222953472000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 1333/1755758592000], [[[1, 15], [2, 4], [3, 1], [8, 1]], 109/16721510400], [[[1, 15], [2, 4], [3, 1], [10, 1]], 97/121927680000], [[[1, 15], [2, 4], [3, 2], [4, 1]], 127153/171992678400], [[[1, 15], [2, 4], [3, 2], [6, 1]], 5569/36118462464], [[[1, 15], [2, 4], [4, 1], [5, 1]], 311777/1672151040000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 61/1504935936000], [[[1, 15], [2, 4], [4, 1], [8, 1]], 2461/267544166400], [[[1, 15], [2, 4], [4, 1], [10, 1]], 61/418037760000], [[[1, 15], [2, 4], [4, 2], [6, 1]], 233/133772083200], [[[1, 15], [2, 4], [5, 1], [6, 1]], 541/179159040000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 5462491/8026324992000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 3297023/37456183296000], [[[1, 15], [2, 6], [4, 1], [6, 1]], 137201/12039487488000], [[[1, 15], [3, 1], [4, 2], [5, 1]], 13/55738368000], [[[1, 15], [3, 2], [4, 1], [8, 1]], 31/702303436800], [[[1, 15], [4, 1], [5, 1], [8, 1]], 1/139345920000], [[[1, 16], [2, 1], [3, 1], [4, 3]], 1/19110297600], [[[1, 16], [2, 1], [3, 1], [7, 1]], 923/585252864000], [[[1, 16], [2, 1], [3, 1], [9, 1]], 19/752467968000], [[[1, 16], [2, 1], [3, 2], [4, 2]], 1/3853516800], [[[1, 16], [2, 1], [3, 2], [5, 1]], 258301/17557585920000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 31/702303436800], [[[1, 16], [2, 1], [3, 3], [4, 1]], 31637/6320730931200], [[[1, 16], [2, 1], [3, 3], [6, 1]], 4927/4213820620800], [[[1, 16], [2, 1], [4, 1], [7, 1]], 1/6688604160], [[[1, 16], [2, 1], [4, 2], [5, 1]], 29/557383680000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 1/668860416000], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/139345920000], [[[1, 16], [2, 1], [5, 1], [10, 1]], 1/3344302080000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 130003/7023034368000], [[[1, 16], [2, 3], [3, 1], [5, 1]], 86089/1672151040000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 583/31603654656000], [[[1, 16], [2, 3], [3, 1], [8, 1]], 97/195084288000], [[[1, 16], [2, 3], [3, 1], [10, 1]], 67/2194698240000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 965893/12039487488000], [[[1, 16], [2, 3], [3, 2], [6, 1]], 30589/2341011456000], [[[1, 16], [2, 3], [4, 1], [5, 1]], 11189/668860416000], [[[1, 16], [2, 3], [4, 1], [6, 2]], 1/1504935936000], [[[1, 16], [2, 3], [4, 1], [8, 1]], 7057/12485394432000], [[[1, 16], [2, 3], [4, 1], [10, 1]], 1/418037760000], [[[1, 16], [2, 3], [4, 2], [6, 1]], 61/1003290624000], [[[1, 16], [2, 3], [5, 1], [6, 1]], 29/209018880000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 122957/891813888000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 13681721/1011316948992000], [[[1, 16], [2, 5], [4, 1], [6, 1]], 12779/12039487488000], [[[1, 17], [2, 2], [3, 1], [4, 2]], 571/1170505728000], [[[1, 17], [2, 2], [3, 1], [5, 1]], 47147/11705057280000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 1/7900913664000], [[[1, 17], [2, 2], [3, 1], [8, 1]], 67/3511517184000], [[[1, 17], [2, 2], [3, 1], [10, 1]], 1/2194698240000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 183877/42138206208000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 5899/10534551552000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 1261/1672151040000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 67/3745618329600], [[[1, 17], [2, 2], [4, 2], [6, 1]], 1/1003290624000], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/418037760000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 2820301/168552824832000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 318539/252829237248000], [[[1, 17], [2, 4], [4, 1], [6, 1]], 1079/18728091648000], [[[1, 17], [3, 1], [4, 1], [8, 1]], 1/3511517184000], [[[1, 18], [2, 1], [3, 1], [4, 2]], 23/9364045824000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 11363/70230343680000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 1/3511517184000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 15481/168552824832000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 389/42138206208000], [[[1, 18], [2, 1], [4, 1], [5, 1]], 29/2229534720000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 29/120394874880000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 7879/6742112993280], [[[1, 18], [2, 3], [3, 1], [6, 1]], 7657/112368549888000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 103/56184274944000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 26989/632073093120000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 4909/2528292372480000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 13/361184624640000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 197/316036546560000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 113/5056584744960000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/2528292372480000], [[[2, 1], [4, 2], [12, 1], [20, 2]], 1/1200], [[[2, 1], [4, 2], [12, 2], [28, 1]], 1/504], [[[2, 1], [4, 2], [12, 2], [36, 1]], 1/216], [[[2, 1], [4, 4], [12, 1], [28, 1]], 17/16128], [[[2, 1], [4, 4], [12, 1], [36, 1]], 1/6912], [[[2, 1], [4, 4], [12, 2], [20, 1]], 1/720], [[[2, 1], [4, 6], [12, 1], [20, 1]], 13/115200], [[[2, 3], [4, 1], [8, 1], [10, 4]], 1/320000], [[[2, 3], [4, 1], [8, 1], [20, 2]], 1/6400], [[[2, 3], [4, 2], [6, 1], [20, 2]], 1/4800], [[[2, 3], [4, 3], [8, 1], [12, 3]], 1/20736], [[[2, 3], [4, 3], [8, 1], [28, 1]], 1/5376], [[[2, 3], [4, 4], [6, 1], [12, 3]], 1/15552], [[[2, 3], [4, 4], [6, 1], [28, 1]], 1/4032], [[[2, 3], [4, 5], [8, 1], [12, 2]], 1/55296], [[[2, 3], [4, 5], [8, 1], [20, 1]], 1/76800], [[[2, 3], [4, 6], [6, 1], [12, 2]], 1/41472], [[[2, 3], [4, 6], [6, 1], [20, 1]], 1/57600], [[[2, 3], [4, 7], [8, 1], [12, 1]], 1/1935360], [[[2, 3], [4, 8], [6, 1], [12, 1]], 1/1451520], [[[2, 5], [4, 2], [5, 2], [10, 2]], 1/102400], [[[2, 5], [4, 2], [6, 2], [14, 2]], 1/451584], [[[2, 5], [4, 2], [6, 2], [18, 2]], 1/82944], [[[2, 5], [4, 2], [12, 1], [28, 1]], 1/64512], [[[2, 5], [4, 2], [12, 1], [36, 1]], 1/27648], [[[2, 5], [4, 4], [12, 1], [20, 1]], 1/92160], [[[2, 5], [5, 2], [6, 2], [10, 2]], 1/28800], [[[2, 5], [6, 1], [10, 3], [14, 1]], 1/42000], [[[2, 5], [6, 1], [10, 3], [18, 1]], 1/18000], [[[2, 5], [6, 2], [10, 1], [14, 2]], 1/35280], [[[2, 5], [6, 2], [10, 1], [18, 2]], 1/6480], [[[2, 5], [6, 3], [10, 2], [14, 1]], 1/151200], [[[2, 5], [6, 3], [10, 2], [18, 1]], 1/64800], [[[2, 5], [6, 4], [14, 1], [18, 1]], 1/27216], [[[2, 7], [4, 1], [6, 6], [8, 1]], 1/3359232], [[[2, 7], [4, 1], [8, 1], [10, 3]], 1/1920000], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/225792], [[[2, 7], [4, 2], [6, 1], [10, 3]], 1/768000], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/451584], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/4147200], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/1741824], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1/746496], [[[2, 7], [4, 2], [10, 2], [14, 1]], 1/1075200], [[[2, 7], [5, 2], [6, 1], [10, 2]], 1/115200], [[[2, 7], [6, 1], [10, 1], [14, 2]], 1/35280], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/22400], [[[2, 7], [6, 2], [10, 2], [18, 1]], 1/10368], [[[2, 7], [6, 3], [14, 1], [18, 1]], 1/36288], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/54432], [[[2, 7], [6, 4], [10, 1], [18, 1]], 1/23328], [[[2, 9], [4, 1], [6, 5], [8, 1]], 1/4478976], [[[2, 9], [4, 2], [6, 2], [10, 2]], 13/11059200], [[[2, 9], [4, 2], [6, 3], [14, 1]], 1/1990656], [[[2, 9], [4, 2], [6, 3], [18, 1]], 1/1990656], [[[2, 9], [4, 2], [6, 4], [10, 1]], 1/2488320], [[[2, 9], [6, 1], [10, 2], [14, 1]], 731/32256000], [[[2, 9], [6, 1], [10, 2], [18, 1]], 193/41472000], [[[2, 9], [6, 2], [14, 1], [18, 1]], 1/215040], [[[2, 9], [6, 3], [10, 1], [14, 1]], 83/5443200], [[[2, 9], [6, 3], [10, 1], [18, 1]], 11/777600], [[[2, 11], [4, 1], [6, 4], [8, 1]], 121/2508226560], [[[2, 11], [4, 1], [8, 1], [10, 2]], 253/11612160000], [[[2, 11], [4, 2], [6, 1], [10, 2]], 43/387072000], [[[2, 11], [4, 2], [6, 2], [14, 1]], 37/325140480], [[[2, 11], [4, 2], [6, 2], [18, 1]], 1/69672960], [[[2, 11], [4, 2], [6, 3], [10, 1]], 17/99532800], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/12902400], [[[2, 11], [6, 1], [14, 1], [18, 1]], 1/34836480], [[[2, 11], [6, 2], [10, 1], [14, 1]], 1327/406425600], [[[2, 11], [6, 2], [10, 1], [18, 1]], 19/34836480], [[[2, 13], [4, 1], [6, 3], [8, 1]], 13/5374771200], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/9754214400], [[[2, 13], [4, 2], [6, 1], [14, 1]], 121/39016857600], [[[2, 13], [4, 2], [6, 1], [18, 1]], 1/16721510400], [[[2, 13], [4, 2], [6, 2], [10, 1]], 11/928972800], [[[2, 13], [6, 1], [10, 1], [14, 1]], 2879/24385536000], [[[2, 13], [6, 1], [10, 1], [18, 1]], 29/10450944000], [[[2, 15], [4, 1], [6, 2], [8, 1]], 31/702303436800], [[[2, 15], [4, 1], [8, 1], [10, 1]], 1/139345920000], [[[2, 15], [4, 2], [6, 1], [10, 1]], 13/55738368000], [[[2, 17], [4, 1], [6, 1], [8, 1]], 1/3511517184000], [[[1, 1], [2, 2], [3, 1], [4, 9], [6, 1]], 1/261273600], [[[1, 1], [2, 2], [4, 1], [5, 1], [20, 2]], 1/2000], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 4]], 1/320000], [[[1, 1], [2, 2], [4, 1], [8, 1], [20, 2]], 3/6400], [[[1, 1], [2, 2], [4, 1], [10, 1], [20, 2]], 1/2000], [[[1, 1], [2, 2], [4, 2], [6, 1], [20, 2]], 1/4800], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 3]], 1/6480], [[[1, 1], [2, 2], [4, 3], [5, 1], [28, 1]], 1/1680], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 3]], 5/6912], [[[1, 1], [2, 2], [4, 3], [8, 1], [28, 1]], 1/1792], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 3]], 1/6480], [[[1, 1], [2, 2], [4, 3], [10, 1], [28, 1]], 1/1680], [[[1, 1], [2, 2], [4, 3], [12, 1], [28, 1]], 1/256], [[[1, 1], [2, 2], [4, 3], [12, 1], [36, 1]], 5/2304], [[[1, 1], [2, 2], [4, 3], [12, 2], [20, 1]], 1/720], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 3]], 1/15552], [[[1, 1], [2, 2], [4, 4], [6, 1], [28, 1]], 1/4032], [[[1, 1], [2, 2], [4, 5], [5, 1], [12, 2]], 1/17280], [[[1, 1], [2, 2], [4, 5], [5, 1], [20, 1]], 1/24000], [[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/1536], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/12288], [[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 1/9600], [[[1, 1], [2, 2], [4, 5], [10, 1], [12, 2]], 1/17280], [[[1, 1], [2, 2], [4, 5], [10, 1], [20, 1]], 1/24000], [[[1, 1], [2, 2], [4, 5], [12, 1], [20, 1]], 1/720], [[[1, 1], [2, 2], [4, 6], [6, 1], [12, 2]], 1/41472], [[[1, 1], [2, 2], [4, 6], [6, 1], [20, 1]], 1/57600], [[[1, 1], [2, 2], [4, 7], [5, 1], [12, 1]], 1/604800], [[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 11/322560], [[[1, 1], [2, 2], [4, 7], [10, 1], [12, 1]], 1/604800], [[[1, 1], [2, 2], [4, 8], [6, 1], [12, 1]], 1/1451520], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 4]], 1/480000], [[[1, 1], [2, 4], [3, 1], [4, 1], [20, 2]], 1/28800], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 3]], 1/93312], [[[1, 1], [2, 4], [3, 1], [4, 3], [28, 1]], 1/24192], [[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/248832], [[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 1/345600], [[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/8709120], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 4]], 1/120000], [[[1, 1], [2, 4], [3, 1], [6, 3], [14, 2]], 1/21168], [[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/3888], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 4]], 1/480000], [[[1, 1], [2, 4], [4, 1], [6, 1], [20, 2]], 1/9600], [[[1, 1], [2, 4], [4, 1], [6, 3], [14, 2]], 1/84672], [[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 1/15552], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 3]], 1/256000], [[[1, 1], [2, 4], [4, 2], [5, 2], [10, 2]], 3/102400], [[[1, 1], [2, 4], [4, 2], [5, 3], [10, 1]], 1/256000], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 2]], 1/150528], [[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 1/27648], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 3]], 1/64000], [[[1, 1], [2, 4], [4, 2], [8, 1], [28, 1]], 1/1792], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 1/51200], [[[1, 1], [2, 4], [4, 2], [8, 2], [12, 2]], 1/9216], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 1/2048], [[[1, 1], [2, 4], [4, 2], [8, 2], [20, 1]], 1/2560], [[[1, 1], [2, 4], [4, 2], [12, 1], [28, 1]], 13/64512], [[[1, 1], [2, 4], [4, 2], [12, 1], [36, 1]], 13/27648], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 1/31104], [[[1, 1], [2, 4], [4, 3], [6, 1], [28, 1]], 1/1152], [[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 1/9216], [[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 1/7680], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 1/9216], [[[1, 1], [2, 4], [4, 4], [12, 1], [20, 1]], 13/92160], [[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 13/82944], [[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 7/38400], [[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 1/92160], [[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 1/276480], [[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 43/2903040], [[[1, 1], [2, 4], [5, 1], [6, 2], [10, 3]], 1/72000], [[[1, 1], [2, 4], [5, 2], [6, 2], [10, 2]], 1/28800], [[[1, 1], [2, 4], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 1], [2, 4], [5, 3], [6, 2], [10, 1]], 1/72000], [[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/42000], [[[1, 1], [2, 4], [6, 1], [10, 3], [18, 1]], 1/18000], [[[1, 1], [2, 4], [6, 2], [8, 1], [14, 2]], 1/56448], [[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/10368], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/35280], [[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/6480], [[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/151200], [[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 1/64800], [[[1, 1], [2, 4], [6, 4], [14, 1], [18, 1]], 1/27216], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/18000], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/21168], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/77760], [[[1, 1], [2, 6], [3, 1], [6, 5], [14, 1]], 5/163296], [[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 5/69984], [[[1, 1], [2, 6], [4, 1], [5, 2], [10, 2]], 7/153600], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/48000], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 5/225792], [[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 7/124416], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/311040], [[[1, 1], [2, 6], [4, 1], [6, 5], [14, 1]], 5/653184], [[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 5/279936], [[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 1/3359232], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 71/1920000], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 1/32256], [[[1, 1], [2, 6], [4, 1], [12, 1], [28, 1]], 1/322560], [[[1, 1], [2, 6], [4, 1], [12, 1], [36, 1]], 1/138240], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/192000], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/165888], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/1382400], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/580608], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/248832], [[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/746496], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/43008], [[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/179200], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1/1843200], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/774144], [[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 1/331776], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/409600], [[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 1/221184], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 1/49152], [[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 1/61440], [[[1, 1], [2, 6], [4, 3], [12, 1], [20, 1]], 1/76800], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 1/221184], [[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 1/11520], [[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/25920], [[[1, 1], [2, 6], [5, 1], [6, 5], [10, 1]], 1/233280], [[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/16800], [[[1, 1], [2, 6], [5, 2], [6, 1], [10, 2]], 7/115200], [[[1, 1], [2, 6], [5, 3], [6, 1], [10, 1]], 1/288000], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/96000], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/56448], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/8820], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/9600], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 11/51840], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/518400], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 5/36288], [[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 1/217728], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/93312], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/34020], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/14580], [[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/134400], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/5038848], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/2880000], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/338688], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/1492992], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 7/1440000], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/84672], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 77/1036800], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 5/186624], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 5/186624], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 7/233280], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 109/1920000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 1/75264], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 253/6220800], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 5/373248], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 25/1119744], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 19/4478976], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/103680], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 11/322560], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/3072000], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1/442368], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 23/3686400], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 17/4644864], [[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 1/221184], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 11/5971968], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/622080], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 13/9216000], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/614400], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 7/1843200], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/516096], [[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 1/331776], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/1327104], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/663552], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/344064], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/430080], [[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 11/864000], [[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/373248], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 4181/32256000], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 2143/41472000], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 13/1382400], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 277/5806080], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/248832], [[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/248832], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 61/680400], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 43/388800], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/6718464], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/2985984], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 6227/580608000], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1579/243855360], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 179/104509440], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 5/373248], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 58363/2322432000], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 20753/2926264320], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 2251/418037760], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 5917/2508226560], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 7/622080], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 71471/23224320000], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 1/15482880], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 17/10752000], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 13/9031680], [[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 1/2903040], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 23/41803776], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 11/6220800], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 1/7741440], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/806400], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/1474560], [[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 1/13271040], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 1/3538944], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 13/11059200], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/4915200], [[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 19/38707200], [[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 19/41803776], [[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/38707200], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 43/48384000], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 17/17418240], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 37/40642560], [[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 1/8709120], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 1901/50803200], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 47/4354560], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 17/12441600], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 121/3762339840], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 253/17418240000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 43/1114767360], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 24313/69672960000], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 10861/29262643200], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 121/12541132800], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 491/348364800], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 57881/34836480000], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 35659/29262643200], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 947/6270566400], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 26507/75246796800], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 4261/1393459200], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 59/2786918400], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1/1720320], [[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/18579456000], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 137/1625702400], [[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 1/348364800], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 451/16721510400], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 233/928972800], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 43/4644864000], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/123863040], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 23/309657600], [[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 593/41803776000], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 121/4877107200], [[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/2090188800], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 66179/24385536000], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 1229/10450944000], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 11/116121600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 13/8062156800], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/14631321600], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 31/33443020800], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 121/58525286400], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1691/41803776000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 3823/117050572800], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/1433272320], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 3049/280921374720], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 13/73728000], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 547/278691840000], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1/2388787200], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 457/55738368000], [[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 1/8360755200], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 13/6967296000], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 31/1053455155200], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/209018880000], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/267544166400], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 23/119439360000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 659/7023034368000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 893/278691840000], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/5267275776000], [[[1, 2], [2, 1], [3, 1], [4, 2], [20, 2]], 1/4800], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 3]], 1/15552], [[[1, 2], [2, 1], [3, 1], [4, 4], [28, 1]], 1/4032], [[[1, 2], [2, 1], [3, 1], [4, 6], [12, 2]], 1/41472], [[[1, 2], [2, 1], [3, 1], [4, 6], [20, 1]], 1/57600], [[[1, 2], [2, 1], [3, 1], [4, 8], [12, 1]], 1/1451520], [[[1, 2], [2, 1], [3, 1], [4, 9], [6, 1]], 1/261273600], [[[1, 2], [2, 1], [4, 1], [5, 1], [20, 2]], 1/2000], [[[1, 2], [2, 1], [4, 1], [5, 4], [8, 1]], 1/320000], [[[1, 2], [2, 1], [4, 1], [8, 1], [20, 2]], 3/6400], [[[1, 2], [2, 1], [4, 1], [10, 1], [20, 2]], 1/2000], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 3]], 1/6480], [[[1, 2], [2, 1], [4, 3], [5, 1], [28, 1]], 1/1680], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 3]], 5/6912], [[[1, 2], [2, 1], [4, 3], [8, 1], [28, 1]], 1/1792], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 3]], 1/6480], [[[1, 2], [2, 1], [4, 3], [10, 1], [28, 1]], 1/1680], [[[1, 2], [2, 1], [4, 3], [12, 1], [28, 1]], 1/256], [[[1, 2], [2, 1], [4, 3], [12, 1], [36, 1]], 5/2304], [[[1, 2], [2, 1], [4, 3], [12, 2], [20, 1]], 1/720], [[[1, 2], [2, 1], [4, 5], [5, 1], [12, 2]], 1/17280], [[[1, 2], [2, 1], [4, 5], [5, 1], [20, 1]], 1/24000], [[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/1536], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/12288], [[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 1/9600], [[[1, 2], [2, 1], [4, 5], [10, 1], [12, 2]], 1/17280], [[[1, 2], [2, 1], [4, 5], [10, 1], [20, 1]], 1/24000], [[[1, 2], [2, 1], [4, 5], [12, 1], [20, 1]], 1/720], [[[1, 2], [2, 1], [4, 7], [5, 1], [12, 1]], 1/604800], [[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 11/322560], [[[1, 2], [2, 1], [4, 7], [10, 1], [12, 1]], 1/604800], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 4]], 1/480000], [[[1, 2], [2, 3], [3, 1], [4, 1], [20, 2]], 7/28800], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 7/93312], [[[1, 2], [2, 3], [3, 1], [4, 3], [28, 1]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 7/248832], [[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 7/345600], [[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 1/1244160], [[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 1/5806080], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 4]], 1/120000], [[[1, 2], [2, 3], [3, 1], [6, 3], [14, 2]], 1/21168], [[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/3888], [[[1, 2], [2, 3], [3, 2], [4, 2], [7, 2]], 1/451584], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 2]], 1/82944], [[[1, 2], [2, 3], [3, 2], [5, 2], [10, 2]], 1/28800], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 2]], 1/127008], [[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 1/23328], [[[1, 2], [2, 3], [3, 2], [6, 2], [14, 2]], 1/127008], [[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 1/23328], [[[1, 2], [2, 3], [3, 2], [7, 2], [10, 1]], 1/35280], [[[1, 2], [2, 3], [3, 2], [9, 2], [10, 1]], 1/6480], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 4]], 1/480000], [[[1, 2], [2, 3], [4, 1], [6, 1], [20, 2]], 1/3200], [[[1, 2], [2, 3], [4, 1], [6, 3], [14, 2]], 1/84672], [[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/15552], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 3]], 3/256000], [[[1, 2], [2, 3], [4, 2], [5, 1], [28, 1]], 1/560], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/51200], [[[1, 2], [2, 3], [4, 2], [5, 2], [10, 2]], 1/25600], [[[1, 2], [2, 3], [4, 2], [5, 3], [10, 1]], 3/256000], [[[1, 2], [2, 3], [4, 2], [6, 2], [14, 2]], 1/150528], [[[1, 2], [2, 3], [4, 2], [6, 2], [18, 2]], 1/27648], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 1/64000], [[[1, 2], [2, 3], [4, 2], [8, 1], [28, 1]], 3/1792], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 1/25600], [[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 1/3072], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 3/2048], [[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 3/2560], [[[1, 2], [2, 3], [4, 2], [10, 1], [28, 1]], 1/560], [[[1, 2], [2, 3], [4, 2], [12, 1], [28, 1]], 13/10752], [[[1, 2], [2, 3], [4, 2], [12, 1], [36, 1]], 13/4608], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1/10368], [[[1, 2], [2, 3], [4, 3], [6, 1], [28, 1]], 1/896], [[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 1/2880], [[[1, 2], [2, 3], [4, 4], [5, 1], [20, 1]], 1/2400], [[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 43/18432], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 1/768], [[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 7/5120], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/1024], [[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 1/2880], [[[1, 2], [2, 3], [4, 4], [10, 1], [20, 1]], 1/2400], [[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 13/5120], [[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 5/27648], [[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 23/115200], [[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 1/115200], [[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1/28800], [[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 1/115200], [[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 53/92160], [[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 1/28800], [[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 1/276480], [[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/64512], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 3]], 1/72000], [[[1, 2], [2, 3], [5, 1], [6, 2], [14, 2]], 1/35280], [[[1, 2], [2, 3], [5, 1], [6, 2], [18, 2]], 1/6480], [[[1, 2], [2, 3], [5, 1], [8, 1], [10, 3]], 1/32000], [[[1, 2], [2, 3], [5, 1], [10, 2], [20, 1]], 1/400], [[[1, 2], [2, 3], [5, 2], [6, 2], [10, 2]], 1/28800], [[[1, 2], [2, 3], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 2], [2, 3], [5, 2], [10, 1], [20, 1]], 1/400], [[[1, 2], [2, 3], [5, 3], [6, 2], [10, 1]], 1/72000], [[[1, 2], [2, 3], [5, 3], [8, 1], [10, 1]], 1/32000], [[[1, 2], [2, 3], [6, 2], [8, 1], [14, 2]], 1/56448], [[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 1/10368], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 1/96000], [[[1, 2], [2, 5], [3, 1], [4, 2], [28, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 1/1658880], [[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 1/414720], [[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 7/64000], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/12000], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 11/56448], [[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 1/31104], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/77760], [[[1, 2], [2, 5], [3, 1], [6, 5], [14, 1]], 5/163296], [[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 5/69984], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 2]], 1/508032], [[[1, 2], [2, 5], [3, 2], [6, 1], [9, 2]], 1/93312], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 1/216000], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/127008], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 11/233280], [[[1, 2], [2, 5], [3, 2], [6, 4], [14, 1]], 55/489888], [[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 55/209952], [[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/302400], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 11/76800], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 221/768000], [[[1, 2], [2, 5], [4, 1], [5, 3], [10, 1]], 7/384000], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/36000], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 19/225792], [[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 25/124416], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/311040], [[[1, 2], [2, 5], [4, 1], [6, 5], [14, 1]], 5/653184], [[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 5/279936], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 7/76800], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 5/75264], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/51200], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 1/2048], [[[1, 2], [2, 5], [4, 1], [12, 1], [28, 1]], 1/15360], [[[1, 2], [2, 5], [4, 1], [12, 1], [36, 1]], 7/46080], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 7/384000], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/37632], [[[1, 2], [2, 5], [4, 2], [6, 1], [28, 1]], 1/2688], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/82944], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 1/276480], [[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 5/580608], [[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 5/248832], [[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 1/746496], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 5/43008], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/89600], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 1/102400], [[[1, 2], [2, 5], [4, 3], [5, 2], [8, 1]], 1/409600], [[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/102400], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/73728], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 1/614400], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 1/258048], [[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 1/110592], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/663552], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 7/204800], [[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 25/221184], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 13/49152], [[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 5/12288], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/20480], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 1/3072], [[[1, 2], [2, 5], [4, 3], [12, 1], [20, 1]], 43/230400], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 1/6144], [[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 1/6912], [[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 1/2880], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 25/221184], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 31/552960], [[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 11/138240], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 299/1440000], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/35280], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 7/108000], [[[1, 2], [2, 5], [5, 1], [6, 4], [14, 1]], 1/136080], [[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/58320], [[[1, 2], [2, 5], [5, 1], [6, 5], [10, 1]], 1/233280], [[[1, 2], [2, 5], [5, 1], [7, 1], [10, 2]], 1/5600], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/4000], [[[1, 2], [2, 5], [5, 2], [6, 1], [10, 2]], 1/11520], [[[1, 2], [2, 5], [5, 3], [6, 1], [10, 1]], 7/288000], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/48000], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/14112], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/11760], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 13/201600], [[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 11/86400], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/518400], [[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 5/36288], [[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 1/217728], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/93312], [[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/90720], [[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/38880], [[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 1/33600], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 73/5038848], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 11/2880000], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/48384], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 13/4478976], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/497664], [[[1, 2], [2, 7], [3, 1], [5, 2], [7, 1]], 1/96768000], [[[1, 2], [2, 7], [3, 1], [5, 2], [9, 1]], 1/41472000], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 31/720000], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 5/56448], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 611/3110400], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 187/1306368], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 107/559872], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 1/186624], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/19440], [[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/403200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1/279936], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/110592], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1/589824], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 31/3110400], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 277/3919104], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 19/559872], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 41/349920], [[[1, 2], [2, 7], [3, 2], [7, 1], [9, 1]], 1/17418240], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 223/1440000], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 5/56448], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/165888], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 559/6220800], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 155/2612736], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 115/1119744], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 13/1492992], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 7/466560], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 17/115200], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 133/3072000], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 5/110592], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 59/921600], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 5/165888], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 1/18432], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 113/5971968], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 11/622080], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 973/9216000], [[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 1/1105920], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 1/40960], [[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 1/307200], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 3/25600], [[[1, 2], [2, 7], [4, 2], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/73728], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/61440], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/86016], [[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 1/55296], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 5/663552], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/184320], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 3/114688], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/327680], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/688128], [[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 1/294912], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 1/589824], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/737280], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 1/163840], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 1/69120], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 11/96000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/155520], [[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/155520], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 223/9331200], [[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 1/384000], [[[1, 2], [2, 7], [5, 1], [10, 1], [20, 1]], 1/153600], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1391/6451200], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 67/552960], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 43/1382400], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 25/165888], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 37/1741824], [[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 7/248832], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/7560], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/5184], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 65/3359232], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 19/4478976], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 13/13824000], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 5/2654208], [[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 1/27648000], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 62353/580608000], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 51203/731566080], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 2881/104509440], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/373248], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 5/46656], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/559872], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/442368], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 43/108864000], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 667/91445760], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/19595520], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 133/5598720], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/3628800], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 1/409600], [[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 1/73728000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/18432000], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 1/442368], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 369709/2322432000], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 176279/2926264320], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 23293/418037760], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 1093/59719680], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 239/3732480], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1879/51609600], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 1/614400], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/120960], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 7589/129024000], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 2501/108380160], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 463/23224320], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 3853/209018880], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 719/19906560], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 31/1935360], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 347/12902400], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 1/14745600], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 11/1720320], [[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 1/737280], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 11/2211840], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 11/1228800], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 13/3686400], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 1/589824], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 7/2949120], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 449/40320000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 37/25401600], [[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 1/5443200], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 45089/5225472000], [[[1, 2], [2, 9], [5, 1], [7, 1], [10, 1]], 1/12902400], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 181/96768000], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 263/24192000], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 53/5806080], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 197/20321280], [[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 11/4354560], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 169/1209600], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 11/172800], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 71/6220800], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 1/115200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 23329/3762339840], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 2669/8709120000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 10133/10032906240], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 1/11612160], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 43/185794560], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 452653/69672960000], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 210181/29262643200], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 5101/12541132800], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 43/139345920], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 5987/261273600], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/4838400], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 43/209018880], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/17694720], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 121/10973491200], [[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/4702924800], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 589/522547200], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 1/15482880], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 456823/17418240000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 248567/14631321600], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 11611/3135283200], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 4601/836075520], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 74917/2090188800], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 5057/6502809600], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 401/38707200], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 121/6193152000], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 60761/13005619200], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 2321/5573836800], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 122627/33443020800], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 899/66355200], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 16451/9289728000], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 109/371589120], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 3/2293760], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 121/3048192000], [[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/1306368000], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 24029/41803776000], [[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 1/2322432000], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 1523/2438553600], [[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 23/1045094400], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 17293/812851200], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 113/69672960], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 211/116121600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 34529/64497254400], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 1/298598400], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 83/1791590400], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/5573836800], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 43/6967296000], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 211/44590694400], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 1367/14631321600], [[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 1/6270566400], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 31/4180377600], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 247/217728000], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 31/6270566400], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 13/15676416000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 1/1592524800], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 52949/58525286400], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 823/25082265600], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 2231/6688604160], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 24079/5971968000], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 19/222953472], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 3383/33443020800], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 38687/55738368000], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 481/52254720000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 431/6967296000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 25871/2106910310400], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 1/3732480000], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 193/401316249600], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/33443020800], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 8431/836075520000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/50164531200], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 11419/2341011456000], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 98069/836075520000], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 10187/168552824832000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 4]], 1/480000], [[[1, 3], [2, 2], [3, 1], [4, 1], [20, 2]], 1/3200], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1/10368], [[[1, 3], [2, 2], [3, 1], [4, 3], [28, 1]], 1/896], [[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 5/27648], [[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 23/115200], [[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 1/276480], [[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 1/5806080], [[[1, 3], [2, 2], [3, 1], [5, 4], [6, 1]], 1/120000], [[[1, 3], [2, 2], [3, 2], [4, 2], [7, 2]], 1/150528], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 2]], 1/27648], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 3]], 1/72000], [[[1, 3], [2, 2], [3, 2], [5, 2], [10, 2]], 1/28800], [[[1, 3], [2, 2], [3, 2], [5, 3], [10, 1]], 1/72000], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 2]], 1/127008], [[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 1/23328], [[[1, 3], [2, 2], [3, 2], [6, 2], [14, 2]], 1/127008], [[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 1/23328], [[[1, 3], [2, 2], [3, 2], [7, 2], [8, 1]], 1/56448], [[[1, 3], [2, 2], [3, 2], [7, 2], [10, 1]], 1/35280], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 1/10368], [[[1, 3], [2, 2], [3, 2], [9, 2], [10, 1]], 1/6480], [[[1, 3], [2, 2], [3, 3], [4, 1], [7, 2]], 1/84672], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/15552], [[[1, 3], [2, 2], [3, 3], [6, 1], [7, 2]], 1/21168], [[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/3888], [[[1, 3], [2, 2], [4, 1], [5, 4], [6, 1]], 1/480000], [[[1, 3], [2, 2], [4, 1], [6, 1], [20, 2]], 7/28800], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 3]], 3/256000], [[[1, 3], [2, 2], [4, 2], [5, 1], [28, 1]], 1/560], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 1/25600], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 2]], 1/25600], [[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 1/64000], [[[1, 3], [2, 2], [4, 2], [5, 3], [10, 1]], 3/256000], [[[1, 3], [2, 2], [4, 2], [6, 2], [14, 2]], 1/451584], [[[1, 3], [2, 2], [4, 2], [6, 2], [18, 2]], 1/82944], [[[1, 3], [2, 2], [4, 2], [8, 1], [28, 1]], 3/1792], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/51200], [[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 1/3072], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 3/2048], [[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 3/2560], [[[1, 3], [2, 2], [4, 2], [10, 1], [28, 1]], 1/560], [[[1, 3], [2, 2], [4, 2], [12, 1], [28, 1]], 13/10752], [[[1, 3], [2, 2], [4, 2], [12, 1], [36, 1]], 13/4608], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 7/93312], [[[1, 3], [2, 2], [4, 3], [6, 1], [28, 1]], 1/3456], [[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 1/2880], [[[1, 3], [2, 2], [4, 4], [5, 1], [20, 1]], 1/2400], [[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 43/18432], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 1/768], [[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 7/5120], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/1024], [[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 1/2880], [[[1, 3], [2, 2], [4, 4], [10, 1], [20, 1]], 1/2400], [[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 13/5120], [[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 7/248832], [[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 7/345600], [[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 1/115200], [[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 1/28800], [[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 1/115200], [[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 53/92160], [[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1/28800], [[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 1/1244160], [[[1, 3], [2, 2], [5, 1], [6, 2], [14, 2]], 1/35280], [[[1, 3], [2, 2], [5, 1], [6, 2], [18, 2]], 1/6480], [[[1, 3], [2, 2], [5, 1], [8, 1], [10, 3]], 1/32000], [[[1, 3], [2, 2], [5, 1], [10, 2], [20, 1]], 1/400], [[[1, 3], [2, 2], [5, 2], [6, 2], [10, 2]], 1/28800], [[[1, 3], [2, 2], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 3], [2, 2], [5, 2], [10, 1], [20, 1]], 1/400], [[[1, 3], [2, 2], [5, 3], [8, 1], [10, 1]], 1/32000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 3]], 1/768000], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 1/96000], [[[1, 3], [2, 4], [3, 1], [4, 2], [28, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 7/41472], [[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 7/34560], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 7/1658880], [[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 7/414720], [[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 1/414720], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 1/96000], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 47/192000], [[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 1/216000], [[[1, 3], [2, 4], [3, 1], [5, 3], [10, 1]], 13/480000], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 2]], 1/42336], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/36000], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/6272], [[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 1/10368], [[[1, 3], [2, 4], [3, 1], [7, 2], [10, 1]], 1/11760], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 2]], 1/96768], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 7/124416], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 3]], 1/144000], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/1843200], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/73728], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 3]], 1/129600], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 2]], 1/72576], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 7/93312], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/108000], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/31752], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 11/233280], [[[1, 3], [2, 4], [3, 2], [6, 4], [14, 1]], 55/489888], [[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 55/209952], [[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/75600], [[[1, 3], [2, 4], [3, 3], [4, 3], [7, 1]], 1/774144], [[[1, 3], [2, 4], [3, 3], [4, 3], [9, 1]], 1/331776], [[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 1/64800], [[[1, 3], [2, 4], [3, 3], [6, 2], [10, 2]], 1/129600], [[[1, 3], [2, 4], [3, 3], [6, 3], [7, 1]], 1/54432], [[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/23328], [[[1, 3], [2, 4], [3, 3], [6, 3], [14, 1]], 1/54432], [[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/23328], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 413/1920000], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 1/51200], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 1/3000], [[[1, 3], [2, 4], [4, 1], [5, 3], [6, 2]], 1/144000], [[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 173/1920000], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 1/144000], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/13824], [[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 25/124416], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 7/128000], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/25088], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/25600], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 3/2048], [[[1, 3], [2, 4], [4, 1], [12, 1], [28, 1]], 25/96768], [[[1, 3], [2, 4], [4, 1], [12, 1], [36, 1]], 25/41472], [[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 1/358400], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/64000], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 5/225792], [[[1, 3], [2, 4], [4, 2], [6, 1], [28, 1]], 1/896], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/165888], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 13/4147200], [[[1, 3], [2, 4], [4, 2], [6, 4], [14, 1]], 13/1741824], [[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 13/746496], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/14336], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/6144], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/107520], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 9/20480], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 3/102400], [[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 1/5760], [[[1, 3], [2, 4], [4, 3], [5, 1], [20, 1]], 1/1600], [[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 3/204800], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 3/102400], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/36864], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 1/614400], [[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/258048], [[[1, 3], [2, 4], [4, 3], [6, 3], [18, 1]], 1/110592], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/663552], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 9/204800], [[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 19/36864], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 23/8192], [[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 19/10240], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/2048], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 5/3072], [[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 1/5760], [[[1, 3], [2, 4], [4, 3], [10, 1], [20, 1]], 1/1600], [[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 71/69120], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 1/6144], [[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 1/3456], [[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 1/1920], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/7680], [[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 73/36864], [[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 11/184320], [[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 13/138240], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 71/480000], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/8820], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 17/648000], [[[1, 3], [2, 4], [5, 1], [6, 4], [14, 1]], 1/136080], [[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/58320], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/4200], [[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 19/84000], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 49/288000], [[[1, 3], [2, 4], [5, 2], [6, 2], [7, 1]], 1/100800], [[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 1/64800], [[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 1/28000], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/16800], [[[1, 3], [2, 4], [5, 3], [6, 1], [10, 1]], 1/32000], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 3]], 1/96000], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/201600], [[[1, 3], [2, 4], [6, 2], [10, 2], [18, 1]], 1/86400], [[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/36288], [[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 1/44800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 1/69984], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 1/72000], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 5/112896], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 97/4478976], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 7/995328], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 5/73728], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/61440], [[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 1/82944], [[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 1/884736], [[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 1/688128], [[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1/294912], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 1/110592], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 1/82944], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/116640], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/345600], [[[1, 3], [2, 6], [3, 1], [5, 2], [7, 1]], 31/96768000], [[[1, 3], [2, 6], [3, 1], [5, 2], [9, 1]], 31/41472000], [[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1/864000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 2]], 1/169344], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 23/288000], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/4704], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 167/1036800], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 67/435456], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 47/186624], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 1/186624], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/46656], [[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/67200], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 133/1679616], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 77/2985984], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 1/73728], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 1/196608], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 1/589824], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/54000], [[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 1/518400], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 187/3110400], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/145152], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/62208], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 1333/3919104], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 151/559872], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 137/699840], [[[1, 3], [2, 6], [3, 2], [7, 1], [9, 1]], 31/17418240], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/31104], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/124416], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 1/73728], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/884736], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/1036800], [[[1, 3], [2, 6], [3, 3], [6, 2], [7, 1]], 1/217728], [[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 1/93312], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 5/435456], [[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 1/186624], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/77760], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 1/466560], [[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 1/576000], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 1/7680], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 65/338688], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/82944], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 367/6220800], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 145/2612736], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 115/1119744], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 7/1492992], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/186624], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 5/43008], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 61/403200], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 137/768000], [[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/460800], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 7/614400], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 179/3072000], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 29/221184], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 137/1382400], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 143/1741824], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 19/124416], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 5/165888], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/46080], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 167/614400], [[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 7/368640], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 43/122880], [[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 7/102400], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 41/102400], [[[1, 3], [2, 6], [4, 2], [12, 1], [20, 1]], 7/153600], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 13/36864], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 13/307200], [[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 1/7680], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/32256], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/18432], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 19/663552], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/69120], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/114688], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1/12288], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/35840], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1/163840], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 1/65536], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 1/172032], [[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 1/73728], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 1/98304], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/245760], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 3/81920], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 23/92160], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 7/36864], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1/9216], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 193/864000], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 37/1088640], [[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 7/155520], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 107/3110400], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 11/384000], [[[1, 3], [2, 6], [5, 1], [10, 1], [20, 1]], 7/51200], [[[1, 3], [2, 6], [5, 2], [6, 1], [7, 1]], 1/403200], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/43200], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 769/6451200], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/12288], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 1/30720], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 193/1161216], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 13/580608], [[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 1/27648], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 23/248832], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 253/4478976], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 37/3456000], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 53/2654208], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1/258048], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 5/1769472], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1/786432], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1/233280], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 1/1152000], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/1382400], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/864000], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 839/3072000], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 8221/34836480], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 229/1658880], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 7/373248], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 37/186624], [[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 1/11612160], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/331776000], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 281/3359232], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 13/20736000], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 109/3981312], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1/98304], [[[1, 3], [2, 8], [3, 2], [5, 1], [7, 1]], 1/58060800], [[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 1/24883200], [[[1, 3], [2, 8], [3, 2], [5, 2], [6, 1]], 1/82944000], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 2419/435456000], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 1/580608], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 1/248832], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 14963/182891520], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 403/78382080], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 1/165888], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 113/559872], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 1/259200], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/124416], [[[1, 3], [2, 8], [3, 3], [4, 1], [7, 1]], 1/139345920], [[[1, 3], [2, 8], [3, 3], [4, 1], [9, 1]], 1/59719680], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 1/995328], [[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 1/149299200], [[[1, 3], [2, 8], [3, 3], [6, 1], [7, 1]], 1/34836480], [[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 1/14929920], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/870912], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 7/3110400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 11/3732480], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 527/10240000], [[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 1/2304000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 31/18432000], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 1/55296], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 97553/331776000], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 9749/59719680], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 10481/59719680], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 481/11943936], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 13/138240], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 1133/9216000], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 1/245760], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 1/51200], [[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 1/1843200], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1303/15482880], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 23179/96768000], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 10021/81285120], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 2263/17418240], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 311/3317760], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 1133/8294400], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 79/645120], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 29/215040], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 27/1638400], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 341/10321920], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 101/4423680], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 331/5898240], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 11/204800], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 1459/14745600], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 1/368640], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 1/65536], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 13/983040], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 4517/60480000], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 197/12700800], [[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 11/2721600], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 11759/248832000], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 47/19353600], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 713/32256000], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 109/24192000], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 13/384000], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 13/387072], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 31/967680], [[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 1/69120], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 31/151200], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 17/129600], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 29/1244160], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 29/806400], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 6653/104509440], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 1037/387072000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 134497/5016453120], [[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/123863040], [[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/53084160], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 19/11612160], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 523/92897280], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 1/4423680], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/2211840], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 17/70778880], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 43/87091200], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/221184000], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 31643/774144000], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 16111/325140480], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 731/139345920], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 631/139345920], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 31727/261273600], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/302400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 105367/7524679680], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/17418240], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 2489/1114767360], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/106168320], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 323/41803776000], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/92897280], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/39813120], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 781/685843200], [[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 23/2351462400], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/2654208], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 9683/522547200], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 11/39813120], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 1/159252480], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/12441600], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 23/26127360], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 1/4838400], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 23/15482880], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 2923/23224320], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 11933/139345920], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 2977/104509440], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 203/6635520], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 284381/2090188800], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 1/20643840], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 631/72253440], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 2353/38707200], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/29491200], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 5681/6193152000], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 106921/2438553600], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 15557/2090188800], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 731/17694720], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 5549/51609600], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 8389/309657600], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 5539/371589120], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 2669/103219200], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 1523/1524096000], [[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 23/653184000], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 16427/2322432000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 23/1161216000], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 527/108380160], [[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 1/3096576], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 2827/38707200], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 31/3317760], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 25/2322432], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 98747/10032906240], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 481/4877107200], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 46391/20065812480], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 47/5573836800], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 569/3483648000], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 8123/44590694400], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 31/2612736000], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 1/6967296000], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 5419/3901685760], [[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 1/130636800], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 443/2090188800], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 68929/5971968000], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 2929/6019743744], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/8360755200], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 43/10450944000], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 211/8360755200], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 43/489888000], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 451/10450944000], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 1/2322432000], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 13933/278691840000], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 1019699/117050572800], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 5311/10032906240], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 35981/9555148800], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 23597/746496000], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 3461/2654208000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 1849/743178240], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 73859/6193152000], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 14981/69672960000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 5053/6967296000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 1063/2786918400], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 1/11147673600], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 359/41803776000], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 8201/200658124800], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/20901888000], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 13/8360755200], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 31747/167215104000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 23/18811699200], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 1/1492992000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 6631/66886041600], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 3587/2229534720], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 2843/936404582400], [[[1, 3], [3, 1], [4, 2], [12, 1], [28, 1]], 1/2016], [[[1, 3], [3, 1], [4, 2], [12, 1], [36, 1]], 1/864], [[[1, 3], [3, 1], [4, 4], [12, 1], [20, 1]], 1/2880], [[[1, 3], [3, 2], [4, 1], [7, 2], [8, 1]], 1/56448], [[[1, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/10368], [[[1, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 3], [4, 1], [8, 1], [12, 1], [28, 1]], 1/2688], [[[1, 3], [4, 1], [8, 1], [12, 1], [36, 1]], 1/1152], [[[1, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 4]], 1/480000], [[[1, 4], [2, 1], [3, 1], [4, 1], [20, 2]], 1/9600], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 1/31104], [[[1, 4], [2, 1], [3, 1], [4, 3], [28, 1]], 1/1152], [[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 13/82944], [[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 7/38400], [[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 43/2903040], [[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/42000], [[[1, 4], [2, 1], [3, 1], [5, 3], [9, 1]], 1/18000], [[[1, 4], [2, 1], [3, 1], [5, 4], [6, 1]], 1/120000], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 2]], 1/150528], [[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 1/27648], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/35280], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/6480], [[[1, 4], [2, 1], [3, 2], [5, 1], [10, 3]], 1/72000], [[[1, 4], [2, 1], [3, 2], [5, 2], [10, 2]], 1/28800], [[[1, 4], [2, 1], [3, 2], [5, 3], [10, 1]], 1/72000], [[[1, 4], [2, 1], [3, 2], [7, 2], [8, 1]], 1/56448], [[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/10368], [[[1, 4], [2, 1], [3, 3], [4, 1], [7, 2]], 1/84672], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 1/15552], [[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/151200], [[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 1/64800], [[[1, 4], [2, 1], [3, 3], [6, 1], [7, 2]], 1/21168], [[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/3888], [[[1, 4], [2, 1], [3, 4], [7, 1], [9, 1]], 1/27216], [[[1, 4], [2, 1], [4, 1], [5, 4], [6, 1]], 1/480000], [[[1, 4], [2, 1], [4, 1], [6, 1], [20, 2]], 1/28800], [[[1, 4], [2, 1], [4, 2], [5, 1], [10, 3]], 1/256000], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 1/51200], [[[1, 4], [2, 1], [4, 2], [5, 2], [10, 2]], 3/102400], [[[1, 4], [2, 1], [4, 2], [5, 3], [8, 1]], 1/64000], [[[1, 4], [2, 1], [4, 2], [5, 3], [10, 1]], 1/256000], [[[1, 4], [2, 1], [4, 2], [8, 1], [28, 1]], 1/1792], [[[1, 4], [2, 1], [4, 2], [8, 2], [12, 2]], 1/9216], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 1/2048], [[[1, 4], [2, 1], [4, 2], [8, 2], [20, 1]], 1/2560], [[[1, 4], [2, 1], [4, 2], [12, 1], [28, 1]], 13/64512], [[[1, 4], [2, 1], [4, 2], [12, 1], [36, 1]], 13/27648], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 3]], 1/93312], [[[1, 4], [2, 1], [4, 3], [6, 1], [28, 1]], 1/24192], [[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 1/9216], [[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 1/7680], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 1/9216], [[[1, 4], [2, 1], [4, 4], [12, 1], [20, 1]], 13/92160], [[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/248832], [[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 1/345600], [[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 1/92160], [[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/8709120], [[[1, 4], [2, 1], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/64000], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 5/225792], [[[1, 4], [2, 3], [3, 1], [4, 2], [28, 1]], 1/896], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 1/6144], [[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 1/3456], [[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 11/184320], [[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 13/138240], [[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 1/414720], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 3]], 1/32000], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 49/288000], [[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/108000], [[[1, 4], [2, 3], [3, 1], [5, 3], [8, 1]], 1/96000], [[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 71/480000], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/31752], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 2]], 1/72576], [[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 7/93312], [[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/18816], [[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/8820], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 1/144000], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/13824], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 25/124416], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 3]], 1/144000], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 1/614400], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/36864], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 3]], 1/129600], [[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/201600], [[[1, 4], [2, 3], [3, 2], [5, 2], [9, 1]], 1/86400], [[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/36000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/6272], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 1/10368], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 1/216000], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 2]], 1/42336], [[[1, 4], [2, 3], [3, 2], [10, 2], [14, 1]], 1/100800], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 13/4147200], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/165888], [[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/258048], [[[1, 4], [2, 3], [3, 3], [4, 3], [9, 1]], 1/110592], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 1/64800], [[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 11/233280], [[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 17/648000], [[[1, 4], [2, 3], [3, 3], [6, 2], [10, 2]], 1/129600], [[[1, 4], [2, 3], [3, 3], [6, 3], [7, 1]], 1/54432], [[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/23328], [[[1, 4], [2, 3], [3, 3], [6, 3], [14, 1]], 1/54432], [[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/23328], [[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/36288], [[[1, 4], [2, 3], [3, 4], [4, 2], [7, 1]], 13/1741824], [[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 13/746496], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/663552], [[[1, 4], [2, 3], [3, 4], [6, 2], [7, 1]], 55/489888], [[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 55/209952], [[[1, 4], [2, 3], [3, 4], [7, 1], [10, 1]], 1/136080], [[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/58320], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 173/1920000], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/25600], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 1/3000], [[[1, 4], [2, 3], [4, 1], [5, 3], [6, 2]], 1/144000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 7/128000], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 413/1920000], [[[1, 4], [2, 3], [4, 1], [6, 2], [14, 2]], 1/96768], [[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 7/124416], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/25088], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 1/51200], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 3/2048], [[[1, 4], [2, 3], [4, 1], [12, 1], [28, 1]], 25/96768], [[[1, 4], [2, 3], [4, 1], [12, 1], [36, 1]], 25/41472], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/107520], [[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 1/96000], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 3]], 1/768000], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 2]], 1/150528], [[[1, 4], [2, 3], [4, 2], [6, 1], [28, 1]], 1/1152], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/6144], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 1/358400], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/2048], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 3/102400], [[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 1/5760], [[[1, 4], [2, 3], [4, 3], [5, 1], [20, 1]], 1/1600], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 9/204800], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 3/102400], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/73728], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/1843200], [[[1, 4], [2, 3], [4, 3], [6, 3], [14, 1]], 1/774144], [[[1, 4], [2, 3], [4, 3], [6, 3], [18, 1]], 1/331776], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 3/204800], [[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 19/36864], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 23/8192], [[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 19/10240], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 9/20480], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 5/3072], [[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 1/5760], [[[1, 4], [2, 3], [4, 3], [10, 1], [20, 1]], 1/1600], [[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 71/69120], [[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 7/41472], [[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 7/34560], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 1/7680], [[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 73/36864], [[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 7/1658880], [[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 7/414720], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 3]], 13/480000], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 2]], 1/11760], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/16800], [[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 1/28000], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 47/192000], [[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/75600], [[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 1/64800], [[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 1/44800], [[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 19/84000], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/4200], [[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 1/96000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 7/1152000], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/32256], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/48000], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/37632], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 29/1492992], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/122880], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 13/995328], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 13/36864], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/51200], [[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 7/82944], [[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 7/23040], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/294912], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1/172032], [[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 1/73728], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 7/110592], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 7/82944], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 1/82944], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1/116640], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/115200], [[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/430080], [[[1, 4], [2, 5], [3, 1], [5, 2], [9, 1]], 1/184320], [[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/108000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 11/254016], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 43/864000], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 11/63504], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 73/1866240], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 149/3919104], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 149/1679616], [[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 17/604800], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 127/1679616], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 43/11059200], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 223/2985984], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 7/147456], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/92160], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 19/663552], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 1/73728], [[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 1/36864], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/737280], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1/147456], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/98304], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/25920], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 7/108000], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 37/1036800], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/28800], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 29/345600], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 1/20736], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/20736], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 445/1306368], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 25/62208], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/41472], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 11/139968], [[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 5/387072], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 19/139968], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 11/124416], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 31/4644864], [[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 31/1990656], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/1105920], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 19/663552], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 13/1327104], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/294912], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/77760], [[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 1/4665600], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 7/1036800], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 11/145152], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 11/62208], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 23/435456], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 7/186624], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/38880], [[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/120960], [[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/51840], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 29/279936], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 173/2985984], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/414720], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/124416], [[[1, 4], [2, 5], [3, 4], [6, 1], [7, 1]], 1/1959552], [[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 1/839808], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 1/25920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 1/466560], [[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/76800], [[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 7/576000], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 11/288000], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 25/169344], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/165888], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 61/6220800], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 25/2612736], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 25/1119744], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/6144], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 41/806400], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 1/414720], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 23/40960], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 11/32000], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/76800], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 3/51200], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 273/1024000], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 5/36864], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 487/11059200], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 41/663552], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 235/1990656], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 13/995328], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 13/2488320], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 11/51200], [[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 25/331776], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 71/36864], [[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 5/18432], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 13/15360], [[[1, 4], [2, 5], [4, 2], [12, 1], [20, 1]], 5/27648], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/143360], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/307200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 23/36864], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 7/184320], [[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 1/9216], [[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 1/2560], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/28672], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 11/165888], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 7/221184], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 19/1658880], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 19/344064], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 3/28672], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/43008], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 7/16384], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1/32768], [[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 1/5760], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 1/114688], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 1/49152], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 5/294912], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/245760], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 37/81920], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 251/165888], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 1/4096], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 5/27648], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 1/6400], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 13/362880], [[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 1/17280], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 41/3110400], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/15360], [[[1, 4], [2, 5], [5, 1], [10, 1], [20, 1]], 5/9216], [[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 11/604800], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 1/25600], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 9/716800], [[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 11/921600], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/92160], [[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 1/14336], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/193536], [[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 1/82944], [[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 1/120960], [[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 215/2239488], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 1019/5971968], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 7/147456], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 7/204800], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 319/3981312], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 5/688128], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 5/294912], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 5/258048], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 1/983040], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 5/221184], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 31/589824], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/122880], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 1/82944], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 5/786432], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 7/233280], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 11/384000], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 1/153600], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/108000], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 529/1990656], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/96768], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 17611/62705664], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 2089/8957952], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1/41472], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 367/2799360], [[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 47/17418240], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 31/331776000], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 293/839808], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 37/5184000], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 1/5184], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/387072], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 227/2654208], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 31/3538944], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/184320], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 7/589824], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/69120], [[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/1814400], [[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 1/777600], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 131/82944000], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 149/6912000], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 13/580608], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 1/27648], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 2419/8709120], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 53/1244160], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 7/165888], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 541/1399680], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 29/1814400], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 43/373248], [[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 31/139345920], [[[1, 4], [2, 7], [3, 3], [4, 1], [9, 1]], 31/59719680], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 187/3981312], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 17/2654208], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1/311040], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 31/149299200], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 17/11612160], [[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 17/4976640], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 5/435456], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 19/388800], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/559872], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/5971968], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 53/3732480], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 20693/92160000], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/1382400], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/288000], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 709/18432000], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 14179/66355200], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 13033/83607552], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 2371/11943936], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 745/23887872], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 179/3732480], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 1217/7372800], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 7/81920], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 3/51200], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 1/138240], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 1/107520], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/153600], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 41/122880], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 16919/55296000], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/129024], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 541/2211840], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 2813/9953280], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 25/165888], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 67/442368], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 1/24576], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/35840], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 59/172032], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 347/1433600], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/184320], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 31/983040], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 547/4915200], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 223/2580480], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 289/3317760], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 13/73728], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 659/5529600], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 53/153600], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 7/122880], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 5/24576], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 17/491520], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 1/27648], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 31/180000], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 31/604800], [[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 1/43200], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 4061/49766400], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 353/19353600], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 2831/32256000], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 893/24192000], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/25600], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 11/193536], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 1/27648], [[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 7/55296], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 31/276480], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 7/414720], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/36864000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 3701/17915904], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 11/864000], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 297413/1672151040], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 1/3870720], [[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 1/1658880], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 29/2580480], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 403/6881280], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 17/4423680], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 17/2764800], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 841/70778880], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 631/87091200], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/25804800], [[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 1/33177600], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 11/73728000], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 104107/995328000], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 1/387072], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 62927/418037760], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 4939/179159040], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 23/1105920], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 5467/22394880], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 37/2073600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 1014841/7524679680], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/30965760], [[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 1/19906560], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 19/17418240], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/132710400], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 23081/557383680], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1/2211840], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 1/3317760], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 11/6635520], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 1/552960], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 10763/41803776000], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 37/92897280], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 11/13271040], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 3047/243855360], [[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 1/6967296], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 13/2654208], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 55609/522547200], [[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/199065600], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 4909/836075520], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/238878720], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 31/159252480], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/49766400], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 17/12441600], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/89579520], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 307/32659200], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/25804800], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 19/4838400], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 1/5529600], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 37/3870720], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 40037/165888000], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 26987/139345920], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 2669/29859840], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 8251/119439360], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 61319/298598400], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 97/61931520], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 1237/30965760], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 6049/38707200], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 19/5529600], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1/614400], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 314401/18579456000], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 1/516096], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 70211/433520640], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 4649/111476736], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 30311/185794560], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 69091/232243200], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1037/7372800], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1/737280], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 937/8257536], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 8161/61931520], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 527/67737600], [[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 1/1935360], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1079/30965760], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 1/3440640], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 59/3870720], [[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 1/552960], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 1147/9676800], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 197/8294400], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 13/552960], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 9151/139345920], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/371589120], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/159252480], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 47/36126720], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 1/176947200], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 50887/1672151040], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 431/1592524800], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 101/58060800], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 167663/44590694400], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 443/1306368000], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 67/4644864000], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 1/61931520], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 409627/43893964800], [[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 1151/9405849600], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 1/491520], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 4477/83607552], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1254901/150493593600], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 691/66886041600], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 569/5225472000], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 20969/33443020800], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 1/132710400], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 719/489888000], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 1159/50164531200], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 5333/5225472000], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 691/18579456000], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 295573/278691840000], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 71471/1828915200], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 23593/6270566400], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 21523/1114767360], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 2717/24883200], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 391/44236800], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 17/116121600], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 61133/2786918400], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 2023859/27869184000], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 76729/34836480000], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 193/51609600], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 453799/100329062400], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 7/1592524800], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 493/3483648000], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 34747/38220595200], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 13/5225472000], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 53/1857945600], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 858887/501645312000], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 167/4299816960], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 271/10450944000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 64907/66886041600], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 252517/23887872000], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 49321/802632499200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 7/384000], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/37632], [[[1, 5], [2, 2], [3, 1], [4, 2], [28, 1]], 1/2688], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 1/6144], [[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 1/6912], [[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 31/552960], [[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 11/138240], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/11760], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 3]], 7/288000], [[[1, 5], [2, 2], [3, 1], [5, 2], [10, 2]], 1/11520], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 1/216000], [[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/48000], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 299/1440000], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/127008], [[[1, 5], [2, 2], [3, 1], [6, 2], [14, 2]], 1/508032], [[[1, 5], [2, 2], [3, 1], [6, 2], [18, 2]], 1/93312], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/14112], [[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/35280], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/36000], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 19/225792], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 25/124416], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 1/614400], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/73728], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 13/201600], [[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 11/86400], [[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 1/12000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 11/56448], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/82944], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 1/258048], [[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 1/110592], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 11/233280], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/518400], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 7/108000], [[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 5/36288], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/311040], [[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 5/580608], [[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 5/248832], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/663552], [[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/90720], [[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/38880], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/77760], [[[1, 5], [2, 2], [3, 4], [6, 2], [7, 1]], 55/489888], [[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 55/209952], [[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 1/217728], [[[1, 5], [2, 2], [3, 4], [7, 1], [10, 1]], 1/136080], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/93312], [[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/58320], [[[1, 5], [2, 2], [3, 5], [4, 1], [7, 1]], 5/653184], [[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 5/279936], [[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 1/746496], [[[1, 5], [2, 2], [3, 5], [5, 1], [10, 1]], 1/233280], [[[1, 5], [2, 2], [3, 5], [6, 1], [7, 1]], 5/163296], [[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 5/69984], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 3]], 7/384000], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/51200], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 221/768000], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 7/76800], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 11/76800], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 5/75264], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 1/2048], [[[1, 5], [2, 2], [4, 1], [12, 1], [28, 1]], 1/15360], [[[1, 5], [2, 2], [4, 1], [12, 1], [36, 1]], 7/46080], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/89600], [[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 1/96000], [[[1, 5], [2, 2], [4, 2], [6, 1], [28, 1]], 1/8064], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 5/43008], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/20480], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/102400], [[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 7/204800], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 1/102400], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 2]], 1/409600], [[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 25/221184], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 13/49152], [[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 5/12288], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 1/3072], [[[1, 5], [2, 2], [4, 3], [12, 1], [20, 1]], 43/230400], [[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 1/41472], [[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 1/34560], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 25/221184], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 1/1658880], [[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 1/414720], [[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 7/64000], [[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/302400], [[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 1/33600], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/4000], [[[1, 5], [2, 2], [5, 2], [10, 1], [14, 1]], 1/5600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 11/288000], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 25/169344], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 7/576000], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 7/184320], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/124416], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 23/36864], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/307200], [[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 1/2560], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/294912], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 1/114688], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 1/49152], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 1/4096], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 5/27648], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 1/82944], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 7/1036800], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 9/716800], [[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 11/921600], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 43/864000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 11/63504], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/108000], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 11/254016], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 1/4665600], [[[1, 5], [2, 4], [3, 1], [6, 4], [14, 1]], 1/1959552], [[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 1/839808], [[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 11/604800], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 487/11059200], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 173/2985984], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 5/36864], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/76800], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 19/663552], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/28672], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 11/165888], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/245760], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1/147456], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 5/294912], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 1/25920], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/14400], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 29/345600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/92160], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 1/6400], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 37/1036800], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 23/435456], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 7/186624], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 11/145152], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 11/62208], [[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 1/14336], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 61/6220800], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 29/279936], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/165888], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 11/124416], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 41/663552], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 235/1990656], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 19/1658880], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 19/663552], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 7/221184], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/294912], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/38880], [[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 1/120960], [[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 1/51840], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 73/1866240], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/115200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 445/1306368], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 25/62208], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 1/20736], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/20736], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/77760], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/193536], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 13/362880], [[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 1/82944], [[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 19/139968], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 25/2612736], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 25/1119744], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 13/2488320], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 223/2985984], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 13/995328], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 1/414720], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 13/995328], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 11/139968], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 41/3110400], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 149/3919104], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 149/1679616], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/41472], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 127/1679616], [[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 1/466560], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 29/1492992], [[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1/116640], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 41/806400], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/48000], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/37632], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 7/1152000], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/32256], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/6144], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/76800], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/414720], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 13/15360], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 273/1024000], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/92160], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 11/51200], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 11/32000], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 7/147456], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 43/11059200], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 31/4644864], [[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 31/1990656], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 3/51200], [[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 25/331776], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 71/36864], [[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 5/18432], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 23/40960], [[[1, 5], [2, 4], [4, 2], [12, 1], [20, 1]], 5/27648], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/43008], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/51200], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 13/36864], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/122880], [[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 7/82944], [[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 7/23040], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 1/73728], [[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 1/36864], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 13/1327104], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/1105920], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 3/28672], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 19/344064], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/143360], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 37/81920], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1/32768], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/5760], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1/172032], [[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 1/73728], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/98304], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/737280], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 7/16384], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 251/165888], [[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 7/110592], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 7/82944], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/28800], [[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/120960], [[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/51840], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 1/25600], [[[1, 5], [2, 4], [5, 1], [10, 1], [20, 1]], 5/9216], [[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 17/604800], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 7/108000], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/430080], [[[1, 5], [2, 4], [6, 1], [10, 2], [18, 1]], 1/184320], [[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 5/387072], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 77/3359232], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 101/3686400], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 827/5971968], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 25/73728], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/23040], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 499/3981312], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 53/1032192], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 35/442368], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 1/36864], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 17/983040], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 43/884736], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 167/589824], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1/61440], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 7/82944], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 109/3538944], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/25920], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 131/1728000], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 49/2073600], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 73/1152000], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 5149/49766400], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 5/145152], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 7807/62705664], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 1405/8957952], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 1/124416], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 151/5598720], [[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 353/17418240], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 31/4423680], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 781/2239488], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/147456], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/57600], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 305/746496], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 109/3096576], [[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 13/221184], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 5/387072], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 7/442368], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 293/1327104], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 13/147456], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/61440], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/24576], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 1/10368], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1/226800], [[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 1/97200], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 29/1843200], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 71/2073600], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 23/145152], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 37/373248], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 11/32256], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 13/124416], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/18432], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 61/233280], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/48384], [[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 1/51840], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 65/186624], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 43/9289728], [[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 43/3981312], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 31/6635520], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 3425/11943936], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 25/1990656], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 7/414720], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 185/2654208], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 7/124416], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 181/16588800], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 367/20901888], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 13/331776], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 5/145152], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 1/55296], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/7776], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 187/2239488], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/414720], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 41/1990656], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 1/2799360], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/77760], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/6718464], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 17/1244160], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1/40960], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1219/3686400], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 47/4096000], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 3539/18432000], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 149/2457600], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 1399/27869184], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 37/442368], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 55/7962624], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 5/746496], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 1031/12288000], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 25/73728], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/15360], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1/41472], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 31/860160], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 1/21504], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 23/921600], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 9/16384], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 209/1382400], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 1/55296], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 23/129024], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 115/497664], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 29/331776], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 269/4976640], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 115/516096], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 1/15360], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 3/7168], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 109/645120], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/61440], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 17/49152], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 743/2949120], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 1/86016], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 71/688128], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 113/884736], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 241/1179648], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 197/2211840], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 2771/4915200], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 25/110592], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1/122880], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 31/73728], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 59/1474560], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 1/9216], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 251/1536000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/80640], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/17280], [[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 883/16588800], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 191/2150400], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 151/1075200], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 139/1728000], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 7/460800], [[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 19/387072], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 5/387072], [[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/32256], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1/23040], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 1/276480], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 1/35840], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 143/165888000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 25921/107495424], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 5297/165888000], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 9911/23887872], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 77/17694720], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 539/53084160], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 53/1548288], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 1/196608], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 5083/23224320], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 1139/17694720], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 151/3686400], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 4991/70778880], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 17/460800], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 289/232243200], [[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 19/19906560], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 991/331776000], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 428387/3483648000], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 281/11612160], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1/4976640], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 307819/1463132160], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 39299/627056640], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 7/221184], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 48089/223948800], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/3225600], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/1382400], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 79/1814400], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 157007/358318080], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 47/46448640], [[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 47/29859840], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 1/161280], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 31/132710400], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 2221/8847360], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 79/8847360], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 143/16588800], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1369/26542080], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 37/1658880], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 3197/1393459200], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 13/2211840], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 511/59719680], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 97/1935360], [[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 1/1244160], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 7/294912], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 6019/24883200], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 49/298598400], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 50479/836075520], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/7464960], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 2149/238878720], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 13/12441600], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 139/12441600], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 23/44789760], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 47/1555200], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 47/38707200], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 1/44800], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 11/2764800], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 1/46080], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 3799/18432000], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 1/387072], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 4619/23224320], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 413/3317760], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 2681/39813120], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 4021/29859840], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 5/387072], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/107520], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 73/860160], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 113/604800], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 169/5529600], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 79/2457600], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 347981/3096576000], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 25/1548288], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 4217/15482880], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 239/2488320], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 1627/5898240], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 2783/8294400], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 4627/14745600], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1/61440], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 8515/24772608], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 2231/8847360], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 59/2419200], [[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 1/345600], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 781/11059200], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 1/491520], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 61/3096576], [[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 5/1327104], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 607/6451200], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 41/1382400], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 23/1105920], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 727751/3762339840], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 23/185794560], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 17/79626240], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 1061/139345920], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 37/176947200], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 57857/371589120], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 2869/743178240], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 7/737280], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 236713/6370099200], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 23/5529600], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 3671/10450944000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 13/23224320], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 1/19906560], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 2765627/87787929600], [[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 3859/4702924800], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 193/23224320], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 495343/4180377600], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/44236800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 50231/836075520], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1177/4777574400], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 703/696729600], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 281/41803776], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 1/3686400], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 1637/174182400], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 30319/50164531200], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 1781/232243200], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 1147/1327104000], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 504923/55738368000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 1/1548288], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 3331/37158912], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 341/26542080], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 11749/247726080], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 35717/199065600], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 12823/442368000], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 373/92897280], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 271/3096576], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 360917/1857945600], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 8357/774144000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 193/22118400], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 1/530841600], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 3922291/150493593600], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 5207/66886041600], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 24833/20901888000], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 2275843/267544166400], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 953/18579456000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 83/348364800], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 2030951/250822656000], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 58223/100329062400], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 1273/3483648000], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 13831/2786918400], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 3006001/83607552000], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 3019169/4815794995200], [[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000], [[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/56448], [[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/537600], [[[1, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 1/230400], [[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/96768], [[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560], [[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/518400], [[[1, 5], [3, 4], [4, 1], [7, 1], [8, 1]], 1/217728], [[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 1/93312], [[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/134400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/192000], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/75264], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/8820], [[[1, 6], [2, 1], [3, 1], [5, 1], [10, 3]], 1/288000], [[[1, 6], [2, 1], [3, 1], [5, 2], [10, 2]], 7/115200], [[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/96000], [[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/11520], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/56448], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/48000], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 5/225792], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 7/124416], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1/1843200], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/9600], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 11/51840], [[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/18000], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/21168], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/1382400], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/165888], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/774144], [[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 1/331776], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/518400], [[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/25920], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 5/36288], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/311040], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/580608], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/248832], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/34020], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/14580], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/77760], [[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 1/217728], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/93312], [[[1, 6], [2, 1], [3, 5], [4, 1], [7, 1]], 5/653184], [[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 5/279936], [[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/746496], [[[1, 6], [2, 1], [3, 5], [5, 1], [10, 1]], 1/233280], [[[1, 6], [2, 1], [3, 5], [6, 1], [7, 1]], 5/163296], [[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 5/69984], [[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 1/3359232], [[[1, 6], [2, 1], [4, 1], [5, 2], [10, 2]], 7/153600], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 71/1920000], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 1/32256], [[[1, 6], [2, 1], [4, 1], [12, 1], [28, 1]], 1/322560], [[[1, 6], [2, 1], [4, 1], [12, 1], [36, 1]], 1/138240], [[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/179200], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/43008], [[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/409600], [[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 1/221184], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 1/49152], [[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 1/61440], [[[1, 6], [2, 1], [4, 3], [12, 1], [20, 1]], 1/76800], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 1/221184], [[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/134400], [[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/16800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 1/7680], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 65/338688], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 1/576000], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 13/307200], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 13/36864], [[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 1/27648], [[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 1/7680], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/884736], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 1/172032], [[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 1/73728], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 7/36864], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1/9216], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/1036800], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 769/6451200], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/12288], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 23/288000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/4704], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1/864000], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 2]], 1/169344], [[[1, 6], [2, 3], [3, 1], [10, 2], [14, 1]], 1/403200], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 137/1382400], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 29/221184], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/460800], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 1/73728], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/32256], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/18432], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/245760], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 1/196608], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 1/98304], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/43200], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 187/3110400], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 1/30720], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 193/864000], [[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 1/518400], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 5/435456], [[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 1/186624], [[[1, 6], [2, 3], [3, 2], [6, 3], [14, 1]], 1/217728], [[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 1/93312], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 193/1161216], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 367/6220800], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/82944], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/124416], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 143/1741824], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 19/124416], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/69120], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 1/73728], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 19/663552], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 1/884736], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/77760], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/15120], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/8640], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 167/1036800], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/345600], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 1333/3919104], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 151/559872], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/62208], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 13/580608], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 37/1088640], [[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 1/27648], [[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 7/155520], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/31104], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 145/2612736], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 115/1119744], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/46080], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 77/2985984], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 5/165888], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 7/995328], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 137/699840], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/311040], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 107/3110400], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 67/435456], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 47/186624], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/41472], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/186624], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 133/1679616], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 7/1492992], [[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 1/466560], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 97/4478976], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/46656], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 1/186624], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/116640], [[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 1/69984], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 61/403200], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 1/72000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 5/112896], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 5/43008], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 41/102400], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 179/3072000], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 167/614400], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 137/768000], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 7/614400], [[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 7/368640], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 43/122880], [[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 7/102400], [[[1, 6], [2, 3], [4, 2], [12, 1], [20, 1]], 7/153600], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/35840], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/61440], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 5/73728], [[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 1/82944], [[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 1/23040], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1/12288], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/114688], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 3/81920], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 1/65536], [[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 1/688128], [[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1/294912], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 1/589824], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1/163840], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 23/92160], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 1/110592], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 1/82944], [[[1, 6], [2, 3], [5, 1], [10, 1], [20, 1]], 7/51200], [[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/54000], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 11/384000], [[[1, 6], [2, 3], [6, 1], [10, 2], [14, 1]], 31/96768000], [[[1, 6], [2, 3], [6, 1], [10, 2], [18, 1]], 31/41472000], [[[1, 6], [2, 3], [6, 2], [14, 1], [18, 1]], 31/17418240], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/6718464], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 209/1382400], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 41/1990656], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 9/16384], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 23/921600], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 185/2654208], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 71/688128], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 113/884736], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 1/86016], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 59/1474560], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/24576], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 31/73728], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1/122880], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 1/9216], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 109/3538944], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/77760], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 139/1728000], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 71/2073600], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 7/460800], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 251/1536000], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 29/1843200], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 5/145152], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 367/20901888], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 13/331776], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 1/2799360], [[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 19/387072], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 149/2457600], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 187/2239488], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1/36864], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/86400], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 3425/11943936], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 23/129024], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 115/497664], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 1/55296], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 197/2211840], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 293/1327104], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 241/1179648], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/61440], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 43/884736], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/7776], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/32256], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1/23040], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 5149/49766400], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 49/2073600], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 11/32256], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 13/124416], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 23/145152], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 37/373248], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 1/55296], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 7/124416], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 5/387072], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/17280], [[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 1/82944], [[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 1/25920], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/80640], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 65/186624], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 1399/27869184], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 37/442368], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 269/4976640], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 305/746496], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 29/331776], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1/41472], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 499/3981312], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 61/233280], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 1/276480], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 883/16588800], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 7807/62705664], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 1405/8957952], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 5/145152], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/18432], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 1/10368], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 5/746496], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 781/2239488], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 55/7962624], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 17/1244160], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 827/5971968], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 151/5598720], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 1/124416], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/25920], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 77/3359232], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/414720], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/15360], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 3539/18432000], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/57600], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 1031/12288000], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1219/3686400], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/147456], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 31/4423680], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 43/9289728], [[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 43/3981312], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 47/4096000], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 25/73728], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1/40960], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 7/414720], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 109/645120], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 1/15360], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/23040], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 25/73728], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 101/3686400], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 5/387072], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 109/3096576], [[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 13/221184], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 25/1990656], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 31/6635520], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 3/7168], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 1/21504], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 115/516096], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 31/860160], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/61440], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 2771/4915200], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 743/2949120], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 1/36864], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 53/1032192], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 35/442368], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 13/147456], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 7/442368], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 17/49152], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 25/110592], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1/61440], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 167/589824], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 17/983040], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 7/82944], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 73/1152000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/48384], [[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 1/51840], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 181/16588800], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 1/35840], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 151/1075200], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 191/2150400], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 131/1728000], [[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 353/17418240], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1/226800], [[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 1/97200], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 269/16588800], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 11311/107495424], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1/147456], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 133/3317760], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 8759/23887872], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 227/3870720], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 323/6635520], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 13/258048], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 181/2949120], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 8963/26542080], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 347/1179648], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 7/92160], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 11143/70778880], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 53/829440], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 5843/580608000], [[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 1843/248832000], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 1261/66355200], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 383/5529600], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 209/2903040], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 1/829440], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 2411/17418240], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 113/1658880], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 23/1327104], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 1849/22394880], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 1/5160960], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 23/1612800], [[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 1/2211840], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/230400], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 733/14515200], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 39325/71663616], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 769/46448640], [[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 331/14929920], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 1/72576], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 23/884736], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 1139/1990656], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 3611/53084160], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 37/691200], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 589/2654208], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 199/1658880], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 4349/199065600], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1919/46448640], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 143/3981312], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 23/258048], [[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 5/2985984], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 41/884736], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 2093/8294400], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 209/59719680], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 102629/358318080], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 199/59719680], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 13/1244160], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 26899/238878720], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 487/37324800], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/442368], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 181/4147200], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 245/17915904], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1/31104], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 983/38707200], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1/20160], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 137/6144000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 1/49152], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 1501/18432000], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 13/1161216], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 4211/46448640], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 803/9953280], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 119/4423680], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 143/3981312], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1397/30965760], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 13/322560], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 149/1720320], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 13/122880], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 1/13824], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 2371/14745600], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 123173/442368000], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 31/774144], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 12647/61931520], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 889/8847360], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 11143/53084160], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 233/1474560], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 4847/14745600], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 41/737280], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 2821/5898240], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 1781/8847360], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 61/1935360], [[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 1/165888], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 103/1658880], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 43/7372800], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 23/2580480], [[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 1/368640], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 22513/580608000], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 5033/248832000], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 7/1105920], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 791947/3009871872], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 247/123863040], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 361/159252480], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 3053/139345920], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 2089/530841600], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 19933/55738368], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 247/8847360], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 1159/33177600], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 228289/1486356480], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 1283/58060800], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 126317/41803776000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 1103/185794560], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 1/1658880], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 54581/975421440], [[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 29/11612160], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 191/13271040], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 55373/418037760], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 97/132710400], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 25181/119439360], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 9103/4459069440], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 11/2211840], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 118057/2229534720], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 53/14745600], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 29/921600], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 461/62705664], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 161/6635520], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 13669/2064384000], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 50813/1327104000], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 31/4644864], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 1985/18579456], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 59/2654208], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 3053/53084160], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 9673/66355200], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 3653/73728000], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 703/25804800], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 2303/13271040], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 21743/88473600], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 7363/290304000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 203/22118400], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 43/530841600], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 11835451/150493593600], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 6553/9555148800], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 54343/10450944000], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 151433/3715891200], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 32693/55738368000], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 181/185794560], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 5224813/250822656000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 56293/12541132800], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 89/34406400], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 25411/1857945600], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 202409/3096576000], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 3406483/963158999040], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 223/1440000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 5/56448], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/61440], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/73728], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/688128], [[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 1/294912], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1391/6451200], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 67/552960], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 31/720000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 5/56448], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 59/921600], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 5/110592], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/86016], [[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 1/55296], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/737280], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1/589824], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 1/589824], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 31/3110400], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 43/1382400], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 11/96000], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 25/165888], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 559/6220800], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 5/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 1/18432], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/184320], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 5/663552], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/7560], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/5184], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 611/3110400], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 277/3919104], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 19/559872], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 37/1741824], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/155520], [[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 7/248832], [[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/155520], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 155/2612736], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 115/1119744], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 11/622080], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/110592], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 113/5971968], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/497664], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 41/349920], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/155520], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 223/9331200], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 187/1306368], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 107/559872], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 7/466560], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1/279936], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 13/1492992], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 13/4478976], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/19440], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 1/186624], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 73/5038848], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 17/115200], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 11/2880000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/48384], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 3/25600], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 973/9216000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 133/3072000], [[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 1/1105920], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 1/40960], [[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 1/307200], [[[1, 7], [2, 2], [4, 2], [12, 1], [20, 1]], 1/460800], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/71680], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 3/114688], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 1/163840], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/327680], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 1/69120], [[[1, 7], [2, 2], [5, 1], [10, 1], [20, 1]], 1/153600], [[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/403200], [[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 1/384000], [[[1, 7], [2, 2], [6, 1], [10, 2], [14, 1]], 1/96768000], [[[1, 7], [2, 2], [6, 1], [10, 2], [18, 1]], 1/41472000], [[[1, 7], [2, 2], [6, 2], [14, 1], [18, 1]], 1/17418240], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 16919/55296000], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/5971968], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 41/122880], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/153600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 17/2654208], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 223/2580480], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 289/3317760], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 17/491520], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 7/589824], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 5/24576], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 1/27648], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 5/786432], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 893/24192000], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 149/6912000], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/25600], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 31/180000], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 131/82944000], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 5/435456], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 17/11612160], [[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 17/4976640], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 11/193536], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 14179/66355200], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/559872], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/27648], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/1382400], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 187/3981312], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 541/2211840], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 2813/9953280], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/129024], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 659/5529600], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 227/2654208], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 13/73728], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/184320], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 5/221184], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 19/388800], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 7/55296], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 31/276480], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 529/1990656], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 1/153600], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 2419/8709120], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 53/1244160], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 13/580608], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 1/27648], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1/311040], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 1/27648], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 31/604800], [[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 1/41472], [[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 1/43200], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 43/373248], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 13033/83607552], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 2371/11943936], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 67/442368], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 1/5184], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 25/165888], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 1/138240], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 319/3981312], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 541/1399680], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 7/414720], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 4061/49766400], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 17611/62705664], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 2089/8957952], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/96768], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 7/165888], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/69120], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 179/3732480], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 293/839808], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 745/23887872], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 53/3732480], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 1019/5971968], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 367/2799360], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1/41472], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 7/233280], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 215/2239488], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 3/51200], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 709/18432000], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 37/5184000], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 1217/7372800], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 20693/92160000], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 31/331776000], [[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 31/139345920], [[[1, 7], [2, 4], [4, 1], [6, 3], [18, 1]], 31/59719680], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/288000], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 7/81920], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 347/1433600], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/35840], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 7/204800], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 7/147456], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/387072], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 59/172032], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 1/107520], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 1/24576], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/184320], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 53/153600], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 547/4915200], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 5/258048], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 5/688128], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 5/294912], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 31/3538944], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 31/983040], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 7/122880], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/122880], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 31/589824], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 1/983040], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 1/82944], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/108000], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 29/1814400], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 31/149299200], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/17920], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 2831/32256000], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 353/19353600], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 11/384000], [[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 47/17418240], [[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/1814400], [[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 1/777600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 1501/18432000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 245/17915904], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 1/49152], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 137/6144000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 26899/238878720], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 12647/61931520], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 889/8847360], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 31/774144], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 1781/8847360], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 589/2654208], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 2821/5898240], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 41/737280], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 11143/70778880], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 181/4147200], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 22513/580608000], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 5033/248832000], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 383/5529600], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 1261/66355200], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 23/258048], [[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 5/2985984], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1919/46448640], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 143/3981312], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/442368], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 487/37324800], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 23/2580480], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 61/1935360], [[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 1/368640], [[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 1/165888], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 1/40320], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 102629/358318080], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 4211/46448640], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 803/9953280], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 13/1161216], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 233/1474560], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 1139/1990656], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 11143/53084160], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 1/13824], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 8963/26542080], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 2093/8294400], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 7/1105920], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 103/1658880], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 2411/17418240], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 113/1658880], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 209/2903040], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 1/829440], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 41/884736], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 199/1658880], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 143/3981312], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 39325/71663616], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 119/4423680], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1/31104], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 8759/23887872], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 1849/22394880], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 23/1327104], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 53/829440], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 11311/107495424], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 13/1244160], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 13/122880], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 13/322560], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 133/3317760], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1/147456], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 269/16588800], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 1/72576], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 769/46448640], [[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 331/14929920], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 199/59719680], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 209/59719680], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 149/1720320], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1/20160], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1397/30965760], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 983/38707200], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 37/691200], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 4847/14745600], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 123173/442368000], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 13/258048], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 227/3870720], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 323/6635520], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 3611/53084160], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 23/884736], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 2371/14745600], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 7/92160], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 347/1179648], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 181/2949120], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 733/14515200], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 23/1612800], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/230400], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 4349/199065600], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 43/7372800], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 1/5160960], [[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 1/2211840], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 5843/580608000], [[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 1843/248832000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 122611/716636160], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 1091/58060800], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 2927/298598400], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 493/15482880], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 4337/106168320], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 4133/10616832], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 115/1179648], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 473/6635520], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 63467/212336640], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 17/331776], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/7372800], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 10217/696729600], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 241/9289728], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 71/29859840], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 4927/92897280], [[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 1/276480], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 23/2211840], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 76051/995328000], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 1333/124416000], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 128201/334430208], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 3271/318504960], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 133/6635520], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 8203/39813120], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 3761/165888000], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 11/4423680], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 13/230400], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 9283/179159040], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 371/11059200], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 3377/147456000], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 106343/1327104000], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 1039/46448640], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 2891/44236800], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 24353/1194393600], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 10961/318504960], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 14381/248832000], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 20033/442368000], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 187/2764800], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 593/3317760], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 13271/88473600], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1591/55738368], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 3/819200], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 217/176947200], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 430739/3344302080], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 44257/13377208320], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 93139/6967296000], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 14580331/133772083200], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 70687/18579456000], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 71/35389440], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 170449/5573836800], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 433711/20065812480], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 571/58060800], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 232871/11147673600], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 361013/5573836800], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 9350629/802632499200], [[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/193536], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/15120], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 13/1382400], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/322560], [[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/138240], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/248832], [[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/248832], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 109/1920000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 1/75264], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 7/1843200], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 4181/32256000], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 2143/41472000], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 7/1440000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/84672], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 23/3686400], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1/442368], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/516096], [[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 1/331776], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 13/1382400], [[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 11/864000], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 277/5806080], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 253/6220800], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 17/4644864], [[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 1/221184], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/663552], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/1327104], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 61/680400], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 43/388800], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 77/1036800], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/248832], [[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/248832], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 5/373248], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 25/1119744], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/622080], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 11/5971968], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/311040], [[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/373248], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 5/186624], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 5/186624], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/103680], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 19/4478976], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/1492992], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 7/233280], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/5038848], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 11/322560], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/2880000], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/338688], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/614400], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 13/9216000], [[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/3072000], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/430080], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/344064], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 23179/96768000], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1303/15482880], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 1/1843200], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 341/10321920], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 101/4423680], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 13/983040], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 1/65536], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1/786432], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 109/24192000], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 2419/435456000], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 13/384000], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 4517/60480000], [[[1, 8], [2, 3], [3, 1], [6, 2], [10, 2]], 1/82944000], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/870912], [[[1, 8], [2, 3], [3, 1], [6, 3], [14, 1]], 1/34836480], [[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 1/14929920], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 13/387072], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 97553/331776000], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 1/55296], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 1/995328], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 10021/81285120], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 2263/17418240], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 11/204800], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1/98304], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 331/5898240], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 5/1769472], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 7/3110400], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 31/151200], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 17/129600], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 839/3072000], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/1382400], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 14963/182891520], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 403/78382080], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 1/580608], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 1/248832], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 31/967680], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 197/12700800], [[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 1/69120], [[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 11/2721600], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/124416], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 9749/59719680], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 10481/59719680], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 1133/8294400], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 109/3981312], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 311/3317760], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 53/2654208], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 113/559872], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 29/1244160], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 11759/248832000], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 8221/34836480], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 229/1658880], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 1/165888], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 13/138240], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 281/3359232], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 481/11943936], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 11/3732480], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 253/4478976], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 37/186624], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 7/373248], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1/233280], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 23/248832], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 1/51200], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 31/18432000], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 13/20736000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 1133/9216000], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 527/10240000], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/331776000], [[[1, 8], [2, 3], [4, 1], [6, 3], [14, 1]], 1/139345920], [[[1, 8], [2, 3], [4, 1], [6, 3], [18, 1]], 1/59719680], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 1/2304000], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 1/245760], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 29/215040], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 37/3456000], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 79/645120], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 1459/14745600], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 27/1638400], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1/258048], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 1/368640], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/864000], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 1/259200], [[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 1/149299200], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 29/806400], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 713/32256000], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 47/19353600], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 1/1152000], [[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 1/11612160], [[[1, 8], [2, 3], [6, 2], [10, 1], [14, 1]], 1/58060800], [[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 1/24883200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 3799/18432000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 23/44789760], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 1/46080], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 11/2764800], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 2149/238878720], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 4217/15482880], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 239/2488320], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 25/1548288], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 2231/8847360], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1369/26542080], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 8515/24772608], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1/61440], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 4991/70778880], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 139/12441600], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 607/6451200], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 41/1382400], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 428387/3483648000], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 991/331776000], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 97/1935360], [[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 1/1244160], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 13/2211840], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 511/59719680], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 13/12441600], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 61/3096576], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 59/2419200], [[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 5/1327104], [[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 1/345600], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/322560], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 50479/836075520], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 4619/23224320], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 413/3317760], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 1/387072], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 2783/8294400], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 2221/8847360], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 1627/5898240], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 169/5529600], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 5083/23224320], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 6019/24883200], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 23/1105920], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 781/11059200], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 307819/1463132160], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 39299/627056640], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 281/11612160], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1/4976640], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 7/294912], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 37/1658880], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 4021/29859840], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 157007/358318080], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 2681/39813120], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 47/1555200], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 9911/23887872], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 48089/223948800], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 7/221184], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 17/460800], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 25921/107495424], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 113/604800], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/107520], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 5297/165888000], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 143/165888000], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 1/161280], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 47/46448640], [[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 47/29859840], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/7464960], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 49/298598400], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 73/860160], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 1/44800], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 5/387072], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 47/38707200], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 143/16588800], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 4627/14745600], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 347981/3096576000], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 53/1548288], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 77/17694720], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 539/53084160], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 79/8847360], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 31/132710400], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 79/2457600], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 151/3686400], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 1139/17694720], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 1/196608], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 79/1814400], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/3225600], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/1382400], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 3197/1393459200], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 1/491520], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 289/232243200], [[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 19/19906560], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 9283/179159040], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 2891/44236800], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 24353/1194393600], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 1039/46448640], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 13271/88473600], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 8203/39813120], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 593/3317760], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 187/2764800], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 63467/212336640], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 13/230400], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 3/819200], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1591/55738368], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 4927/92897280], [[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 1/276480], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 241/9289728], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 71/29859840], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 11/4423680], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 3761/165888000], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 14381/248832000], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 128201/334430208], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 10961/318504960], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 371/11059200], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 4133/10616832], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 76051/995328000], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 23/2211840], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 17/331776], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 122611/716636160], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 133/6635520], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 20033/442368000], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 106343/1327104000], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 493/15482880], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 1091/58060800], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 2927/298598400], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 3271/318504960], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 1333/124416000], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 3377/147456000], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 473/6635520], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 115/1179648], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 4337/106168320], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 10217/696729600], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/7372800], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 26221/2654208000], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 1999639/16721510400], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 213853/22295347200], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 119/5529600], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 15485749/89181388800], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 35783/2654208000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 43/17694720], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 35207/1327104000], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1090087/16721510400], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 2639/132710400], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 101417/5573836800], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 975787/27869184000], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 23878397/1003290624000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 7589/129024000], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/120960], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 11/1720320], [[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 1/737280], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 7/2949120], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 1/589824], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 43/108864000], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 263/24192000], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 449/40320000], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 53/5806080], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 369709/2322432000], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 1/442368], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 2501/108380160], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 463/23224320], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 11/1228800], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 11/2211840], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 169/1209600], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 11/172800], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 62353/580608000], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 667/91445760], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/19595520], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 197/20321280], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 37/25401600], [[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 11/4354560], [[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 1/5443200], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 176279/2926264320], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 23293/418037760], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 719/19906560], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/442368], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 3853/209018880], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 5/2654208], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 133/5598720], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 71/6220800], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 45089/5225472000], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 51203/731566080], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 2881/104509440], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 239/3732480], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/559872], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 1093/59719680], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 19/4478976], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 5/46656], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/373248], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 65/3359232], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 1/614400], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/18432000], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1879/51609600], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 1/409600], [[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 1/73728000], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 347/12902400], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 13/13824000], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 31/1935360], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 13/3686400], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 1/14745600], [[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 1/27648000], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/3628800], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 1/115200], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 181/96768000], [[[1, 9], [2, 2], [5, 1], [10, 1], [14, 1]], 1/12902400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 40037/165888000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/89579520], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 37/3870720], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 1/5529600], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 31/159252480], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 70211/433520640], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 4649/111476736], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 1/516096], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 8161/61931520], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 11/6635520], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 937/8257536], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1/737280], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 841/70778880], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 17/12441600], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 1147/9676800], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 197/8294400], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 104107/995328000], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 11/73728000], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 3047/243855360], [[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 1/6967296], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 37/92897280], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 11/13271040], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/49766400], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 59/3870720], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 527/67737600], [[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 1/552960], [[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 1/1935360], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 4909/836075520], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 26987/139345920], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 2669/29859840], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 69091/232243200], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 23081/557383680], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 30311/185794560], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 19/5529600], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 403/6881280], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 55609/522547200], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 13/552960], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1079/30965760], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 62927/418037760], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 4939/179159040], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 1/387072], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 13/2654208], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 1/552960], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 61319/298598400], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 1014841/7524679680], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 8251/119439360], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 307/32659200], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 297413/1672151040], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 5467/22394880], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 23/1105920], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 631/87091200], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 3701/17915904], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 6049/38707200], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 11/864000], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/36864000], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 19/17418240], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/30965760], [[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 1/19906560], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/238878720], [[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/199065600], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 1237/30965760], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 19/4838400], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 97/61931520], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/25804800], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 1/3317760], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1037/7372800], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 314401/18579456000], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 29/2580480], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 1/3870720], [[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 1/1658880], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1/2211840], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/132710400], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1/614400], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 17/2764800], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 17/4423680], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 37/2073600], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 10763/41803776000], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 1/3440640], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/25804800], [[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 1/33177600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 461/62705664], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 1985/18579456], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 59/2654208], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 31/4644864], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 21743/88473600], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 118057/2229534720], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 2303/13271040], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 703/25804800], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 228289/1486356480], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 29/921600], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 203/22118400], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 7363/290304000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 54581/975421440], [[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 29/11612160], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 1103/185794560], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 1/1658880], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 53/14745600], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 9673/66355200], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 25181/119439360], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 3053/53084160], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 161/6635520], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 19933/55738368], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 55373/418037760], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 191/13271040], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 1283/58060800], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 791947/3009871872], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 11/2211840], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 3653/73728000], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 50813/1327104000], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 3053/139345920], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 247/123863040], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 361/159252480], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 9103/4459069440], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 97/132710400], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 13669/2064384000], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 1159/33177600], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 247/8847360], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 2089/530841600], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 126317/41803776000], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 975787/27869184000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1090087/16721510400], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 101417/5573836800], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 2639/132710400], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 15485749/89181388800], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 35207/1327104000], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 43/17694720], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 35783/2654208000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 1999639/16721510400], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 119/5529600], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 213853/22295347200], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 26221/2654208000], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 263662081/8026324992000], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 43/48384000], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 11/6451200], [[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/2764800], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 37/40642560], [[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 1/8709120], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 17/12441600], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1612800], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 17/10752000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 1/15482880], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/1474560], [[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 1/13271040], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 43/48384000], [[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 19/38707200], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 17/17418240], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 58363/2322432000], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 13/9031680], [[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 1/2903040], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 13/11059200], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 1/3538944], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 1901/50803200], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 47/4354560], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 6227/580608000], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 37/40642560], [[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 1/8709120], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 20753/2926264320], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 2251/418037760], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 11/6220800], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 23/41803776], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 17/12441600], [[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 19/41803776], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1579/243855360], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 179/104509440], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 7/622080], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 5917/2508226560], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/2985984], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 5/373248], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/6718464], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 71471/23224320000], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/806400], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 1/7741440], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/4915200], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/1612800], [[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/38707200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 2923/23224320], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 23/15482880], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 1/159252480], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 106921/2438553600], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 15557/2090188800], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 2669/103219200], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 5539/371589120], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 17/70778880], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/12441600], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 2827/38707200], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 31/3317760], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 31643/774144000], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/221184000], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 781/685843200], [[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 23/2351462400], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/92897280], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/39813120], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 527/108380160], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 1523/1524096000], [[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 1/3096576], [[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 23/653184000], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 11/39813120], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 11933/139345920], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 2977/104509440], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 5549/51609600], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 2489/1114767360], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 731/17694720], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 523/92897280], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 9683/522547200], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 25/2322432], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 16427/2322432000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 16111/325140480], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 731/139345920], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/2654208], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 284381/2090188800], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 105367/7524679680], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 203/6635520], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 23/26127360], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 134497/5016453120], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 31727/261273600], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 631/139345920], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 43/87091200], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 6653/104509440], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 2353/38707200], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 1037/387072000], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/17418240], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 631/72253440], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 1/4838400], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 1/20643840], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 8389/309657600], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 5681/6193152000], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 19/11612160], [[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/123863040], [[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/53084160], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/106168320], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/29491200], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/2211840], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 1/4423680], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/302400], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 323/41803776000], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 23/1161216000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 30319/50164531200], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 3331/37158912], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 341/26542080], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 1/1548288], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 360917/1857945600], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 281/41803776], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 271/3096576], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 373/92897280], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 236713/6370099200], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 1637/174182400], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 193/22118400], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 8357/774144000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 2765627/87787929600], [[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 3859/4702924800], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 13/23224320], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 1/19906560], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 1/3686400], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 35717/199065600], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 50231/836075520], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 11749/247726080], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 1781/232243200], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 57857/371589120], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 495343/4180377600], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 193/23224320], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 23/5529600], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 727751/3762339840], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 703/696729600], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 12823/442368000], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 504923/55738368000], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 1061/139345920], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 23/185794560], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 17/79626240], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1177/4777574400], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/44236800], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 1147/1327104000], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 7/737280], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 2869/743178240], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 37/176947200], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 3671/10450944000], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 361013/5573836800], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 433711/20065812480], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 232871/11147673600], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 571/58060800], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 14580331/133772083200], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 170449/5573836800], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 71/35389440], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 70687/18579456000], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 430739/3344302080], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 93139/6967296000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 44257/13377208320], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 217/176947200], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 263662081/8026324992000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 456823/17418240000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 1/15482880], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 60761/13005619200], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 2321/5573836800], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 3/2293760], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 109/371589120], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 17293/812851200], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 113/69672960], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 452653/69672960000], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 121/10973491200], [[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/4702924800], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 1523/2438553600], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 121/3048192000], [[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 23/1045094400], [[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/1306368000], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 248567/14631321600], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 11611/3135283200], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 899/66355200], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/17694720], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 122627/33443020800], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 43/185794560], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 589/522547200], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 211/116121600], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 24029/41803776000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 210181/29262643200], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 5101/12541132800], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 74917/2090188800], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 43/209018880], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 4601/836075520], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 10133/10032906240], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 5987/261273600], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 43/139345920], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 23329/3762339840], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 401/38707200], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 2669/8709120000], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 5057/6502809600], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 16451/9289728000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 121/6193152000], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 1/11612160], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/4838400], [[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 1/2322432000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 1159/50164531200], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 71471/1828915200], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 23593/6270566400], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 2023859/27869184000], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 20969/33443020800], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 61133/2786918400], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 17/116121600], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 167663/44590694400], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 719/489888000], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 193/51609600], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 76729/34836480000], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 409627/43893964800], [[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 1151/9405849600], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 1/61931520], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 1/132710400], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 2717/24883200], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1254901/150493593600], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 21523/1114767360], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 5333/5225472000], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 50887/1672151040], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 4477/83607552], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 1/491520], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 443/1306368000], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 9151/139345920], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 569/5225472000], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 391/44236800], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 295573/278691840000], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 47/36126720], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/371589120], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/159252480], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 691/66886041600], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 691/18579456000], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 101/58060800], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 431/1592524800], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 1/176947200], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 67/4644864000], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 202409/3096576000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 56293/12541132800], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 25411/1857945600], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 89/34406400], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 151433/3715891200], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 5224813/250822656000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 181/185794560], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 32693/55738368000], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 11835451/150493593600], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 54343/10450944000], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 6553/9555148800], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 43/530841600], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 23878397/1003290624000], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 121/4877107200], [[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/2090188800], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 11/116121600], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 57881/34836480000], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 137/1625702400], [[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 1/348364800], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 23/309657600], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/123863040], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 66179/24385536000], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 1229/10450944000], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 24313/69672960000], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 121/4877107200], [[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/2090188800], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 35659/29262643200], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 947/6270566400], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 233/928972800], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 451/16721510400], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 11/116121600], [[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 593/41803776000], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 10861/29262643200], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 121/12541132800], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 4261/1393459200], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 26507/75246796800], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 43/1114767360], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 491/348364800], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 121/3762339840], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1/1720320], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 253/17418240000], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 59/2786918400], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 43/4644864000], [[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/18579456000], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 1019699/117050572800], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 5311/10032906240], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 73859/6193152000], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 211/8360755200], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 1849/743178240], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 8123/44590694400], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 43/489888000], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 5053/6967296000], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 14981/69672960000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 5419/3901685760], [[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 1/130636800], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 23597/746496000], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 2929/6019743744], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 35981/9555148800], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 451/10450944000], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 46391/20065812480], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 68929/5971968000], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 443/2090188800], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 31/2612736000], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 98747/10032906240], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 43/10450944000], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 3461/2654208000], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 13933/278691840000], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 481/4877107200], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/8360755200], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 1/2322432000], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 569/3483648000], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 47/5573836800], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 1/6967296000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 3006001/83607552000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 58223/100329062400], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 13831/2786918400], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 1273/3483648000], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 2275843/267544166400], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 2030951/250822656000], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 83/348364800], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 953/18579456000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 3922291/150493593600], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 24833/20901888000], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 5207/66886041600], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 1/530841600], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 9350629/802632499200], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 52949/58525286400], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 823/25082265600], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 38687/55738368000], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 3383/33443020800], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 211/44590694400], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 13/15676416000], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 431/6967296000], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 481/52254720000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 1367/14631321600], [[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 1/6270566400], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 24079/5971968000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 31/6270566400], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 2231/6688604160], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 83/1791590400], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 247/217728000], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 31/4180377600], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 34529/64497254400], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 19/222953472], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 1/1592524800], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 1/298598400], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 43/6967296000], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/5573836800], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 252517/23887872000], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 167/4299816960], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 64907/66886041600], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 271/10450944000], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 34747/38220595200], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 858887/501645312000], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 53/1857945600], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 13/5225472000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 453799/100329062400], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 493/3483648000], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 7/1592524800], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 3406483/963158999040], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 13/6967296000], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 3823/117050572800], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/1433272320], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 457/55738368000], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1/2388787200], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 13/6967296000], [[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 1/8360755200], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 121/58525286400], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 13/73728000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 3049/280921374720], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 31/33443020800], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1691/41803776000], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 13/8062156800], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 547/278691840000], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/14631321600], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 3587/2229534720], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 23/18811699200], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 6631/66886041600], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 1/1492992000], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 8201/200658124800], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 31747/167215104000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 13/8360755200], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/20901888000], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 1063/2786918400], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 359/41803776000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 1/11147673600], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 3019169/4815794995200], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 98069/836075520000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/50164531200], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 11419/2341011456000], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 193/401316249600], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 8431/836075520000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/33443020800], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 25871/2106910310400], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 1/3732480000], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 49321/802632499200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 893/278691840000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 659/7023034368000], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/267544166400], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 23/119439360000], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 31/1053455155200], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/209018880000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 2843/936404582400], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 10187/168552824832000], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/5267275776000], [[[2, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 1/12800], [[[2, 3], [4, 1], [6, 2], [8, 1], [14, 2]], 1/56448], [[[2, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/10368], [[[2, 3], [4, 1], [8, 1], [12, 1], [28, 1]], 1/2688], [[[2, 3], [4, 1], [8, 1], [12, 1], [36, 1]], 1/1152], [[[2, 3], [4, 2], [6, 1], [12, 1], [28, 1]], 1/2016], [[[2, 3], [4, 2], [6, 1], [12, 1], [36, 1]], 1/864], [[[2, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/3840], [[[2, 3], [4, 4], [6, 1], [12, 1], [20, 1]], 1/2880], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/56448], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/518400], [[[2, 5], [4, 1], [6, 4], [8, 1], [14, 1]], 1/217728], [[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 1/93312], [[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/134400], [[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/537600], [[[2, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 1/230400], [[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/96768], [[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 13/1382400], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/248832], [[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/248832], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/193536], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/322560], [[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/138240], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/15120], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 43/48384000], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 37/40642560], [[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 1/8709120], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 17/12441600], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/1612800], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 11/6451200], [[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/2764800], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 121/4877107200], [[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2090188800], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 11/116121600], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 13/6967296000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [20, 2]], 1/3600], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 3]], 7/2916], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [28, 1]], 1/3024], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [12, 2]], 49/124416], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [20, 1]], 1/43200], [[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [12, 1]], 347/34836480], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 3]], 1/32000], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 1], [28, 1]], 1/840], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 1], [36, 1]], 1/360], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 1], [2, 2], [4, 1], [5, 3], [8, 1], [10, 1]], 1/32000], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [14, 2]], 1/56448], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 1/10368], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 1], [28, 1]], 1/896], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 1], [36, 1]], 1/384], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 1], [28, 1]], 1/840], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 1], [36, 1]], 1/360], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [28, 1]], 1/2016], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [36, 1]], 1/864], [[[1, 1], [2, 2], [4, 3], [5, 1], [10, 1], [20, 1]], 1/7680], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [20, 1]], 1/1200], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/384], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 11/3840], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [20, 1]], 1/1200], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [20, 1]], 1/2880], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 2]], 1/84672], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/15552], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [28, 1]], 1/12096], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [36, 1]], 1/5184], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/1728], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [20, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/13824], [[[1, 1], [2, 4], [3, 1], [5, 1], [7, 1], [10, 2]], 1/8400], [[[1, 1], [2, 4], [3, 1], [5, 1], [9, 1], [10, 2]], 1/3600], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [10, 2]], 1/4800], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [14, 1]], 1/25200], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 4], [3, 1], [6, 3], [14, 1], [18, 1]], 1/4536], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [10, 2]], 1/19200], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/48000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 1/14112], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [28, 1]], 1/4032], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [36, 1]], 1/1728], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [14, 1]], 1/100800], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [18, 1]], 1/43200], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/518400], [[[1, 1], [2, 4], [4, 1], [6, 3], [14, 1], [18, 1]], 1/18144], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 1/217728], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 1/93312], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/33600], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 1/9216], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/179200], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 1/76800], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/32256], [[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [18, 1]], 1/41472], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [20, 1]], 1/3840], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [20, 1]], 1/1920], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [14, 1]], 1/8400], [[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [18, 1]], 1/3600], [[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [18, 1]], 1/12960], [[[1, 1], [2, 4], [5, 1], [8, 1], [10, 1], [20, 1]], 1/1280], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [18, 1]], 1/28800], [[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/144000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/84672], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/777600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 1/326592], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/139968], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 1/186624], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/201600], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/460800], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/193536], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/82944], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/55296], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/442368], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/50400], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/9072], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 61/384000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [20, 1]], 1/30720], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 59/806400], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 11/69120], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 11/276480], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 11/145152], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 73/1741824], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 19/248832], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/153600], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 1/829440], [[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [14, 1]], 1/215040], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 7/230400], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 1/32256], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/82944], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 1/73728], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/215040], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 1/92160], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [18, 1]], 1/51840], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/24192], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/3780], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 13/2073600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/373248], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 1/373248], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/373248], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/466560], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/3686400], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 5/1548288], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 1/663552], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/276480], [[[1, 1], [2, 8], [3, 1], [5, 1], [7, 1], [10, 1]], 1/19353600], [[[1, 1], [2, 8], [3, 1], [5, 1], [9, 1], [10, 1]], 1/8294400], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 47/604800], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 7/259200], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 3151/48384000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/41472], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 1/39690], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 127/8709120], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 7/115200], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 29/345600], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 221/6220800], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 37/806400], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 1/184320], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 83/6451200], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 13/2764800], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 13/1382400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/245760], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 3/716800], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8294400], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 11/806400], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/345600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 43/72576000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 37/60963840], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 1/13063680], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 43/139345920], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 17/18662400], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/3096576], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 7/11059200], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/172800], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 317/4644864000], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 31607/9754214400], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 407/4180377600], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 247/12902400], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 1/368640], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 227/23224320], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/77414400], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 23/38707200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 121/7315660800], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/3135283200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 31/4180377600], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 11/174182400], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/44236800], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 5137/13934592000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/33443020800], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 13/10450944000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [20, 2]], 1/3600], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [28, 1]], 1/2016], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [36, 1]], 1/864], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 3]], 7/2916], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [28, 1]], 1/3024], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [20, 1]], 1/2880], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 49/124416], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [20, 1]], 1/43200], [[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 347/34836480], [[[1, 2], [2, 1], [3, 2], [4, 1], [7, 2], [8, 1]], 1/56448], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 1/10368], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 3]], 1/32000], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 1], [28, 1]], 1/840], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 1], [36, 1]], 1/360], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [10, 2]], 1/12800], [[[1, 2], [2, 1], [4, 1], [5, 3], [8, 1], [10, 1]], 1/32000], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 1], [28, 1]], 1/896], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 1], [36, 1]], 1/384], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 1], [28, 1]], 1/840], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 1], [36, 1]], 1/360], [[[1, 2], [2, 1], [4, 3], [5, 1], [10, 1], [20, 1]], 1/7680], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [20, 1]], 1/1200], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/384], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 11/3840], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [20, 1]], 1/1200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 3]], 1/48000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [10, 1]], 1/48000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 2]], 1/84672], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/15552], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [28, 1]], 1/1728], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [36, 1]], 7/5184], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [7, 1]], 1/537600], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [9, 1]], 1/230400], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [28, 1]], 1/1008], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/1728], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [20, 1]], 7/17280], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 125/41472], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 1/4320], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 347/1658880], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 3]], 1/12000], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [10, 2]], 1/8400], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [10, 2]], 1/3600], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 2]], 1/4800], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [7, 1]], 1/151200], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [9, 1]], 1/64800], [[[1, 2], [2, 3], [3, 1], [5, 2], [7, 1], [10, 1]], 1/42000], [[[1, 2], [2, 3], [3, 1], [5, 2], [9, 1], [10, 1]], 1/18000], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [10, 1]], 1/12000], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [14, 1]], 1/25200], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 2], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 1/4536], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/1296], [[[1, 2], [2, 3], [3, 2], [4, 2], [7, 1], [9, 1]], 1/96768], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/10368], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [14, 1]], 1/151200], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [18, 1]], 1/64800], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [9, 1]], 1/27216], [[[1, 2], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 1/27216], [[[1, 2], [2, 3], [3, 2], [7, 1], [9, 1], [10, 1]], 1/7560], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 3]], 1/48000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 2]], 1/19200], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [10, 1]], 1/48000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [28, 1]], 1/1344], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [36, 1]], 1/576], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [14, 1]], 1/100800], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [18, 1]], 1/43200], [[[1, 2], [2, 3], [4, 1], [6, 3], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 1/12800], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [12, 2]], 1/2880], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/640], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [20, 1]], 1/800], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 3/10240], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [20, 1]], 1/512], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [20, 1]], 1/1200], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 1/12800], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/10752], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/179200], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/76800], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 2], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/32256], [[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 1/41472], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 1/2880], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/640], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [20, 1]], 1/800], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/384], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [20, 1]], 1/1280], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [20, 1]], 1/1200], [[[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]], 1/1536], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 1/1152], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [14, 1]], 1/7000], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [18, 1]], 1/3000], [[[1, 2], [2, 3], [5, 1], [6, 2], [14, 1], [18, 1]], 1/7560], [[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [18, 1]], 1/12960], [[[1, 2], [2, 3], [5, 1], [8, 1], [10, 1], [20, 1]], 3/1280], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [14, 1]], 1/67200], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [18, 1]], 1/28800], [[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 11/144000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/21168], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 47/1555200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 47/653184], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 47/279936], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 1/186624], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/50400], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [10, 1]], 1/153600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 13/1382400], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 13/580608], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 13/248832], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/62208], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/9216], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [20, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [20, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 2], [6, 1]], 1/614400], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/614400], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 13/55296], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/258048], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 1/110592], [[[1, 2], [2, 5], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [9, 1]], 1/73728], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 13/27648], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 13/442368], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1/15552], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [20, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [7, 1]], 1/604800], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [9, 1]], 1/259200], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/43200], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 17/201600], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 1/86400], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 17/36288], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/2160], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/86400], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/72576], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1/31104], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 1/36288], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/15552], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 1/10368], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [10, 1]], 1/368640], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [7, 1]], 1/258048], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [9, 1]], 1/110592], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/73728], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/82944], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/7200], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/25920], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [9, 1]], 1/108864], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/54432], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 1/9600], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 1/62208], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 191/384000], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [20, 1]], 13/30720], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 1/32000], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 89/806400], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 73/345600], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/18432], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 41/145152], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 43/580608], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 13/82944], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/276480], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/71680], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/35840], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 19/230400], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1024], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 1/3840], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [20, 1]], 1/5760], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/16128], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/10752], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 7/41472], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/23040], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 7/69120], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/51840], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 1/368640], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 7/81920], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 1/12288], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 1/30720], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 7/13824], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [20, 1]], 1/1920], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 5], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 11/67200], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 59/259200], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 1/103680], [[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/6048], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/576000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 1/691200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 227/1036800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 5/46656], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 29/186624], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 11/186624], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 103/933120], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/147456], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 251/11059200], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/276480], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 7/221184], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 59/1990656], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 37/995328], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 7/311040], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/64512], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/516096], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/147456], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/122880], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 1/196608], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 31/2211840], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 11/144000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/25920], [[[1, 2], [2, 7], [3, 1], [5, 1], [7, 1], [10, 1]], 31/19353600], [[[1, 2], [2, 7], [3, 1], [5, 1], [9, 1], [10, 1]], 31/8294400], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/172800], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 5/193536], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 121/302400], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 31/129600], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/691200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 1/290304], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 5/290304], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/165888], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/51840], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/46080], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/103680], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 11/1814400], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/777600], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 29/384000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 5/248832], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/46080], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/115200], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 137/576000], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 23/145152], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 17/120960], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 7/51840], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3600], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 103/259200], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 61/622080], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 97/403200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 11/737280], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 53/921600], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 107/1290240], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 121/1658880], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 71/806400], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 77/691200], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 163/1382400], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 29/737280], [[[1, 2], [2, 7], [5, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 2089/32256000], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 347/41472000], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 61/806400], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 11/345600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 1/110592000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 52721/2322432000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 38497/975421440], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 4337/418037760], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 2731/139345920], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1627/18662400], [[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 1/30965760], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/13271040], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 1/172800], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 29/3870720], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 61/7741440], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 109/8294400], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/921600], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/1179648], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/1228800], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 599/116121600], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1/387072], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 167/2419200], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 1/1036800], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 7/1382400], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/66355200], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/46448640], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 1/19906560], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/580608], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2654208], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 7/2073600], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/16588800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 2251/464486400], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 10487/4644864000], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 4307/108380160], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 31/9289728], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 2017/12902400], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 667/16588800], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 1049/11612160], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 13/4300800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 1093/19353600], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9676800], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3483648000], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 66679/29262643200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 23/1567641600], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 9827/8360755200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 13379/1393459200], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1217/11147673600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 767/928972800], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 109/3483648000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/8294400], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 947/6967296000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 15323/1990656000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 467/66886041600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 9887/41803776000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 3]], 1/48000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [10, 1]], 1/48000], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [28, 1]], 1/1344], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [36, 1]], 1/576], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/179200], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [28, 1]], 1/1008], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/10752], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608], [[[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]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [20, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 1/1152], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 125/41472], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 1/4320], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 347/1658880], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 3]], 1/12000], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [7, 1]], 1/151200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [9, 1]], 1/64800], [[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [8, 1]], 1/67200], [[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [10, 1]], 1/7000], [[[1, 3], [2, 2], [3, 1], [5, 2], [8, 1], [9, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [5, 2], [9, 1], [10, 1]], 1/3000], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [10, 1]], 1/12000], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [7, 1]], 1/100800], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [9, 1]], 1/43200], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 2]], 1/84672], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/15552], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/230400], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/1296], [[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [9, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/1728], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/10368], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [7, 1]], 1/25200], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [14, 1]], 1/151200], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [18, 1]], 1/64800], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 1/27216], [[[1, 3], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 1/27216], [[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 3], [2, 2], [3, 2], [7, 1], [9, 1], [10, 1]], 1/7560], [[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [9, 1]], 1/18144], [[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [8, 1]], 1/96768], [[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [9, 1]], 1/41472], [[[1, 3], [2, 2], [3, 3], [5, 1], [7, 1], [10, 1]], 1/30240], [[[1, 3], [2, 2], [3, 3], [5, 1], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 1/4536], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 3]], 1/48000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 2]], 1/19200], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [10, 1]], 1/48000], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [28, 1]], 1/1728], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [36, 1]], 7/5184], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/12800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 1/2880], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/640], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 1/800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 3/10240], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [20, 1]], 1/512], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [20, 1]], 1/1200], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 1/12800], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/9216], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [14, 1]], 1/537600], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [18, 1]], 1/230400], [[[1, 3], [2, 2], [4, 2], [6, 2], [14, 1], [18, 1]], 1/96768], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [12, 2]], 1/2880], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/640], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [20, 1]], 1/800], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/384], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [20, 1]], 1/1280], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [20, 1]], 1/1200], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 7/17280], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 2], [14, 1]], 1/42000], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 2], [18, 1]], 1/18000], [[[1, 3], [2, 2], [5, 1], [6, 2], [14, 1], [18, 1]], 1/7560], [[[1, 3], [2, 2], [5, 1], [8, 1], [10, 1], [20, 1]], 3/1280], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [14, 1]], 1/8400], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [18, 1]], 1/3600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 1/115200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [9, 1]], 7/345600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 5/72576], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 5/31104], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/19200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/115200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/76800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/12800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 25/580608], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 25/248832], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/62208], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 1/64512], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/38400], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 7/41472], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 7/9216], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 7/11520], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [20, 1]], 7/17280], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/215040], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1/204800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 25/73728], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/204800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 197/82944], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/86016], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1/36864], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 5/9216], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 7/41472], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 739/663552], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/2250], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 1/15120], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/6480], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/15552], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [20, 1]], 7/5760], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/86400], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [9, 1]], 7/259200], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/18144], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 5/12096], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/5040], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 19/518400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/24000], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/72576], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/31104], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 25/217728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 25/93312], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [9, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [7, 1]], 1/322560], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 1/138240], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/92160], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 7/10368], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/27648], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/122880], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/86016], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1/36864], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1/73728], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 1/1728], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 7/82944], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 7/43200], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 1/3645], [[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [10, 1]], 13/201600], [[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 13/86400], [[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/6000], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 1/15552], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/13608], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/45360], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/19440], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 19/217728], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 19/93312], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [10, 1]], 1/25920], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 13/829440], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 5/193536], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 5/82944], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/27648], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 11/46656], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 7/48000], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 1/25920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 1/62208], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 247/384000], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/640], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 3/10240], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [20, 1]], 13/5120], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 43/128000], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/4608], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 37/806400], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/13824], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 11/460800], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 37/145152], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/27648], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 7/82944], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/25920], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 1/640], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 7/76800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/55296], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/21504], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/17920], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 1/19200], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/15360], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 5/3072], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1280], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [20, 1]], 1/1920], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 5/96768], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/9216], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/4608], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/122880], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 1/960], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 5/86016], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 5/36864], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 1/30720], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/960], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [20, 1]], 1/640], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/3780], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 41/201600], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 31/86400], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/103680], [[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 71/576000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 7/691200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 7/230400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/18432], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 31/76800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/48384], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 349/870912], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 25/41472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 5/41472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 73/466560], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/153600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 1/9216], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 31/3686400], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 41/147456], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 491/2764800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 7/92160], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/193536], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 19/129024], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 107/497664], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 203/995328], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 169/1244160], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/36864], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/53760], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 7/110592], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 5/64512], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/245760], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/40960], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/172032], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 5/258048], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 19/221184], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 19/552960], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2304], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/245760], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 7/196608], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/245760], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 137/737280], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 3/8000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/24192], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 1/51840], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 407/1555200], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [10, 1]], 1/86016], [[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/36864], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/80640], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 49/864000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/72576], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 7/460800], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 1/12096], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 23/193536], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 7/82944], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/1920], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 23/51840], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/103680], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 1/2073600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 49/2073600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/41472], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 7/124416], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 37/290304], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 25/373248], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 319/1492992], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 257/933120], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/96768], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/120960], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 31/2211840], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 31/1548288], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 31/663552], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/96768], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 121/663552], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/15360], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/368640], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 5/147456], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 1/13824], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/362880], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 1/155520], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 59/311040], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 61/1814400], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 11/777600], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [7, 1]], 1/870912], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 1/373248], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 1/933120], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 13/32000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/40320], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/103680], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 139/1244160], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/15360], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 139/806400], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 7/115200], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 23/76800], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 25/72576], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 7/27648], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 13/41472], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 11/34560], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 17/34560], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 37/414720], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1/2560], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 13/184320], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 161/368640], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 79/258048], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 13/36864], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 113/537600], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 17/57600], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 11/46080], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 13/92160], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 11/120960], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 8279/32256000], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1079/13824000], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 7/276480], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 19/161280], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 1/13824], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/38707200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 1/16588800], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 31/110592000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/147456], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1237/7372800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 1/193536], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 2575/9289728], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 149/1327104], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1667/9953280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 1693/3732480], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/967680], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1/414720], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1/129024], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 73/2419200], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/276480], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2764800], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/774144], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/331776], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 1051/15482880], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 1/155520], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 3389/23224320], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1271/6635520], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/76800], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 809/17694720], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 407/11059200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 7/737280], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/241920], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 38009/580608000], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 5/193536], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 41/161280], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 13/1036800], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 31/691200], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 1/414720], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 31/66355200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 31/46448640], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 31/19906560], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 19/967680], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/3732480], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 239/7962624], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 5/62208], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/165888], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1/230400], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 1087/348364800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/115200], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 1/1036800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1/276480], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 159809/2322432000], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 5927/258048000], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 647/3870720], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 17/552960], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 16673/38707200], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 541/3317760], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 683/2764800], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 341/8601600], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 61/184320], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 11/4838400], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1/44236800], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 407/6967296000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1/30965760], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 10049/325140480], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 29/69672960], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 2101/92897280], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 80471/696729600], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 1/1843200], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/44236800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 84947/11147673600], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 8269/464486400], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 2441/1741824000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 17/5529600], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/66355200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 37/557383680], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 403/174182400], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1/9676800], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 18073/3483648000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 2833/51609600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 2339/7431782400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 8209/1672151040], [[[1, 3], [3, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/67200], [[[1, 3], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/28800], [[[1, 3], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 2]], 1/19200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/48000], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 1/14112], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [28, 1]], 1/4032], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [36, 1]], 1/1728], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/179200], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 1/76800], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 1/9216], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 1/6912], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1536], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 1/1920], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/1920], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 1/6912], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [8, 1]], 1/67200], [[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [10, 1]], 1/8400], [[[1, 4], [2, 1], [3, 1], [5, 2], [8, 1], [9, 1]], 1/28800], [[[1, 4], [2, 1], [3, 1], [5, 2], [9, 1], [10, 1]], 1/3600], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [7, 1]], 1/100800], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [9, 1]], 1/43200], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 2]], 1/84672], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/15552], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/230400], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/32256], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/1728], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/13824], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [7, 1]], 1/25200], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/518400], [[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [9, 1]], 1/18144], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [8, 1]], 1/96768], [[[1, 4], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 1/41472], [[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [10, 1]], 1/30240], [[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [10, 1]], 1/12960], [[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/4536], [[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 1/217728], [[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/93312], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [10, 2]], 1/19200], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/33600], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [28, 1]], 1/12096], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 1/5184], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [20, 1]], 1/3840], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/17280], [[[1, 4], [2, 1], [5, 1], [8, 1], [10, 1], [20, 1]], 1/1280], [[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [14, 1]], 1/8400], [[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/3600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 37/806400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/14400], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/4608], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/19200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/115200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 7/76800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 7/10368], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 5/193536], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 5/82944], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 5/96768], [[[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]], 1/4608], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 5/3072], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 1/1280], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [20, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/71680], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/204800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 25/73728], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/204800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 197/82944], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/86016], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 5/86016], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 5/36864], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 7/82944], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 739/663552], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/6000], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [14, 1]], 1/15120], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/6480], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [20, 1]], 1/640], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 7/43200], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/86400], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 7/259200], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/13608], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/15552], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/3780], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/20736], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 11/460800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 7/48000], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 19/518400], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 19/217728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 19/93312], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 37/145152], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/26880], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1152], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/20736], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/20736], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/27648], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/9216], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/4608], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/122880], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/86016], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/36864], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1/73728], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 5/9216], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/21600], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/45360], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/19440], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 11/46656], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 41/201600], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 31/86400], [[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/15120], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/2250], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 5/12096], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/18144], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/60480], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/25920], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/172800], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 25/217728], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 25/93312], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/72576], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/31104], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/60480], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 7/82944], [[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 1/25920], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/138240], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/55296], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 25/580608], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 25/248832], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 1/3645], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 1/62208], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 5/72576], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 5/31104], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/62208], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 1/15552], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/24000], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/60480], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/25920], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 43/128000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 1/640], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 3/10240], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [20, 1]], 13/5120], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 247/384000], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/115200], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 7/345600], [[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/640], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/12800], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 13/829440], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/17920], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/17920], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/21504], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/19200], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 7/41472], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 7/9216], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 7/11520], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [20, 1]], 7/17280], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/64512], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/322560], [[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/138240], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/122880], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/960], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 1/12288], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/215040], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/92160], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/960], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 7/41472], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [20, 1]], 7/5760], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/5040], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/60480], [[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 13/201600], [[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 13/86400], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/38880], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/4800], [[[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]], 1/153600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 73/288000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/9216], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 49/230400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/36288], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 101/290304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 71/124416], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/15552], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/20736], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 7/9216], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 37/1290240], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 31/552960], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 163/3686400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 25/24576], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 11/57600], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 25/82944], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 1/24192], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 1/41472], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 47/193536], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 1/2592], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 137/497664], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 7/51840], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/3072], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/46080], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/16384], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 7/92160], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/36864], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 1/55296], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 5/129024], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 1/27648], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 5/24576], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 17/276480], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 7/13824], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/81920], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 11/36864], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/81920], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1061/663552], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 157/288000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 23/120960], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 7/51840], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 61/172800], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 109/716800], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 119/921600], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/153600], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 257/864000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 11/108864], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/51200], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 17/108864], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 79/362880], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 43/155520], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/69120], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 7/207360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 23/1036800], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/18432], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/20736], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/5376], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/7776], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 5/18144], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 13/93312], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 647/1492992], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 37/116640], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 5/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 53/414720], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/46080], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1367/11059200], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 223/1548288], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 163/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/21504], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 119/221184], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 71/414720], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 1/3456], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 7/184320], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 35/221184], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/46080], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 7/13824], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/45360], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/19440], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 47/77760], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 19/362880], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/31104], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 19/311040], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 197/6220800], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 23/435456], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 23/186624], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/145152], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 337/1492992], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/103680], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/9216], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 611/4665600], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/38880], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 319/576000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/6480], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/51840], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 767/6220800], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 277/806400], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/5376], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 173/403200], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/28800], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 61/460800], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1024], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 41/145152], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/13824], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 59/387072], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 19/82944], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8640], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 11/51840], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 7/276480], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 1/5120], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/23040], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 229/1382400], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 213/204800], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 25/64512], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 5/9216], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 209/1290240], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/4096], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 7/46080], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/12288], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/6144], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 17/120960], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 727/2150400], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 97/552960], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/30720], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/23040], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 31/38707200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 31/16588800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/98304], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 11/147456], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 7357/22118400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 23/580608], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/248832], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 6205/9289728], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 1469/3981312], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 769/1990656], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 391/622080], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/120960], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/161280], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1/51840], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 1/18432], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/69120], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 7/368640], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 793/11059200], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 125/3096576], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 1/41472], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 13/55296], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 11/331776], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 2063/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 107/184320], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1/9216], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 37/307200], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 17/737280], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1993/5898240], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 931/5529600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 107/737280], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/24192], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 23657/82944000], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 5/64512], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1321/3628800], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 71/1555200], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 13/138240], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/41472], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 661/66355200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 59/3096576], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 161/3981312], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 31/414720], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 1/233280], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 2533/7962624], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 2219/6220800], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/51200], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 101/6635520], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 25/221184], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 443/4147200], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/27648], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 3989/69672960], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1244160], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 11/2985984], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/57600], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 13/201600], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1/64800], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 11/276480], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 85237/331776000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1909/12288000], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 25/387072], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 901/3096576], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 125/1327104], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 2569/5529600], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 3983/16588800], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 299/1105920], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 949/4838400], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 389/614400], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 191/29030400], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 11/14745600], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 13/7257600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 67/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1/995328], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 7121/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 1/207360], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 6731/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 4981/11059200], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 7/921600], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 71/44236800], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 37399/371589120], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 3277/22118400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/737280], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 20137/1161216000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 47/2764800], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 17/33177600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 17/3483648], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 307/17418240], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 197/38707200], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 28751/580608000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 3529/22118400], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 1159/13934592000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 105577/22295347200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 8923/232243200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 89/806400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 73/345600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 11/144000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/21168], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/10240], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 19/230400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 1/10368], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 1/1024], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [20, 1]], 1/5760], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/71680], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 1/30720], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/614400], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/614400], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 13/55296], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/258048], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/110592], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/82944], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 7/13824], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 13/442368], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [20, 1]], 1/1920], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 17/201600], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 1/86400], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/604800], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [18, 1]], 1/259200], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 5], [2, 2], [3, 1], [6, 2], [14, 1], [18, 1]], 1/108864], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/6048], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/9600], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 41/145152], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 7/69120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 13/1382400], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/10752], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 7/41472], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/368640], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/258048], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 1/110592], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 1/73728], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 13/27648], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/43200], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 11/67200], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 59/259200], [[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 17/36288], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/15120], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/6480], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 47/1555200], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/172800], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 1/36288], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/72576], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 43/580608], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 13/82944], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 13/580608], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 13/248832], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/5040], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/2160], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/25920], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 1/103680], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 1/62208], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 47/653184], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 47/279936], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/62208], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/15552], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 1/186624], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 1/32000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [20, 1]], 13/30720], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/50400], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 191/384000], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 2]], 1/153600], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/13440], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/35840], [[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/71680], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/41472], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/9216], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 1/11520], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [20, 1]], 1/17280], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/368640], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 7/81920], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [18, 1]], 1/73728], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/41472], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [20, 1]], 1/5760], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/38880], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/10240], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/7200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/20736], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 61/460800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 319/576000], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/18432], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 23/1036800], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/145152], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 23/435456], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 23/186624], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 41/145152], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 1/1024], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 209/1290240], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1/4096], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 11/57600], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 25/24576], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 163/3686400], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 25/82944], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/21504], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 223/1548288], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 163/663552], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 25/64512], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/53760], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 5/9216], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/6144], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/12288], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 5/129024], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 1/27648], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/36864], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 35/221184], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 7/184320], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 7/13824], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/1536], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/81920], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 11/36864], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/81920], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1061/663552], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 257/864000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 19/362880], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 1/31104], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 611/4665600], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/17920], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 727/2150400], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/23040], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 97/552960], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 17/120960], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/51200], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 157/288000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 17/108864], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/153600], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 11/108864], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 1/27648], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/45360], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/19440], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/11520], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 11/51840], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 49/230400], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/9216], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 5/18144], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 13/93312], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/5376], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/7776], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 337/1492992], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 19/311040], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 59/387072], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 19/82944], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 1/6480], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 71/414720], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 7/46080], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 229/1382400], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 47/193536], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 1/2592], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1/24192], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 1/41472], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 119/221184], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 53/414720], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 17/276480], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 5/24576], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1152], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 79/362880], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 43/155520], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 47/77760], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/30720], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 23/120960], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 1/9216], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 7/51840], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 37/116640], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 7/276480], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 767/6220800], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 101/290304], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 71/124416], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/36288], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 647/1492992], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/51840], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 7/51840], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 137/497664], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 61/172800], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/20736], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/15552], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/38880], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 73/288000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/30240], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/13440], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 197/6220800], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 1/5120], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 173/403200], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/3840], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 277/806400], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 7/9216], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/13824], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/96768], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/27648], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/69120], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 7/207360], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/5376], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1367/11059200], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 213/204800], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/9216], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/3072], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 37/1290240], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 31/552960], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 7/92160], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/16384], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 7/13824], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 109/716800], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 119/921600], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/6912], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 11/286720], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 43/1105920], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 4229/66355200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 7/36864], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 15977/66355200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 59/580608], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 1/62208], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 5459/9289728], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 5417/11943936], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 3827/11943936], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 223/746496], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 29/573440], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 47/737280], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 13/96768], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 1/17280], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 43/483840], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1/8640], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 11/73728], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1819/5529600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 37/193536], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 1/18432], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 337/1032192], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 5/82944], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 157/165888], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1201/2211840], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1/3072], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 103/737280], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 1027/1179648], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 51/204800], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 167/221184], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 73/1451520], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 23/622080], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8064], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 22613/49766400], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8064], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 5/64512], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 197/907200], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 103/1555200], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 29/138240], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/92160], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 8707/66355200], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 1639/9289728], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 2693/11943936], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 1/8064], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/62208], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 6545/7962624], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 97/207360], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/14400], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 13/82944], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 7/12288], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1/5184], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 7/27648], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 14117/49766400], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 143/3732480], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1027/11943936], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/8100], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 11/241920], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 20879/66355200], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7093/18432000], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 1/6912], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1051/5160960], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 251/2211840], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 323/1548288], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 503/3317760], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 127/1105920], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 13/61440], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 4613/11059200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2048], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 313/4838400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/153600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 19/663552], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 1423/46448640], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 5/497664], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 5317/15482880], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 629/29859840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 14653/39813120], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 68729/99532800], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 241/5529600], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 883/22118400], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 24743/53084160], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 2341/5529600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 7/245760], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 48451/497664000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 11/307200], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 163/11059200], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 7081/139345920], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 103/1036800], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 751/19353600], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 3623/20736000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 467/2211840], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 33049/13934592000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 137441/4459069440], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 13921/99532800], [[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 59/806400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 11/69120], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/144000], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/84672], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/30720], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 7/230400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/153600], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 1/32256], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/215040], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 1/92160], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/55296], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 1/73728], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/442368], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/3780], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/50400], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 11/276480], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 11/145152], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/460800], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/41472], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/9072], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/20160], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/8640], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/777600], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 73/1741824], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 19/248832], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/82944], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 1/829440], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/193536], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/82944], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/155520], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 1/326592], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/139968], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 1/186624], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/30720], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/201600], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 61/384000], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/215040], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/10240], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 7/115200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 49/2073600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 23/76800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 13/32000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 1/2073600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 1/870912], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 1/373248], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 25/72576], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/57600], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/3072], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 113/537600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 17/57600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 491/2764800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 41/147456], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 31/3686400], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 7/92160], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/96768], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 31/1548288], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 31/663552], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 79/258048], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 13/36864], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 13/92160], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 5/258048], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/172032], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 5/147456], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/368640], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 1/13824], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 1/245760], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7/196608], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/245760], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 137/737280], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 49/864000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 61/1814400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 11/777600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/17280], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/933120], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 19/161280], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 8279/32256000], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 1/13824], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1079/13824000], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 11/120960], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 7/460800], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 3/8000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 1/12096], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/362880], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 1/155520], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/17280], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 11/34560], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 17/34560], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 31/76800], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/18432], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 7/691200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 37/290304], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 25/373248], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/41472], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 7/124416], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 7/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 13/41472], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/32256], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 1/25920], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/15360], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 11/46080], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 13/184320], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 19/129024], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 107/497664], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/193536], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 121/663552], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 19/552960], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 19/221184], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2304], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/1920], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 23/51840], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 59/311040], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 7/276480], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 23/193536], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/24192], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 7/82944], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 257/933120], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 37/414720], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 139/1244160], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 349/870912], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 25/41472], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/48384], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 319/1492992], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/103680], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/103680], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 169/1244160], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 203/995328], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/17280], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 407/1555200], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 73/466560], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 5/41472], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 7/230400], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/120960], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2560], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 139/806400], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/8960], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/15360], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/153600], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 71/576000], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 1/9216], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/20160], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/53760], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/23040], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 31/2211840], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 161/368640], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/36864], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 7/110592], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/40960], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/245760], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [14, 1]], 1/86016], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/36864], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/8100], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 323/1548288], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 503/3317760], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 15977/66355200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 7/36864], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 4229/66355200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/8064], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 1/62208], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1639/9289728], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 2693/11943936], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1027/11943936], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 143/3732480], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1051/5160960], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 1/6720], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 251/2211840], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1/6912], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 1/17280], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 11/241920], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1/5184], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/2048], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 4613/11059200], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 337/1032192], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 5/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 37/193536], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 1/18432], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 7/12288], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 13/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 7/27648], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 13/61440], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 51/204800], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 1027/1179648], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 103/737280], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 167/221184], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 197/907200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 103/1555200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8064], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 14117/49766400], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/46080], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8064], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 73/1451520], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 23/622080], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 97/207360], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 127/1105920], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 20879/66355200], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 5459/9289728], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 5417/11943936], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 59/580608], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/62208], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 6545/7962624], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 29/138240], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1201/2211840], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 157/165888], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 1/8640], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1/3072], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 22613/49766400], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 223/746496], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 3827/11943936], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/6912], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 43/483840], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/14400], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 8707/66355200], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7093/18432000], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 13/96768], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 29/573440], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 47/737280], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 11/286720], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 43/1105920], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 1819/5529600], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 11/73728], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1643/8294400], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 731/22118400], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 491/3317760], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 2587/15482880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 313/9953280], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 4141/11612160], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 583/14929920], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 16589/39813120], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 11381/24883200], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 11/115200], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 15149/66355200], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 8429/8847360], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 15997/33177600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 25/221184], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/122880], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 775969/3483648000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 11/368640], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 833/6635520], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 8683/39813120], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 619/2764800], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 19/204800], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 8339/33177600], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 233/1843200], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 15257/580608000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 109201/1114767360], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 354341/1393459200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/115200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/691200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 137/576000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 29/384000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 23/145152], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 1/460800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 71/806400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 77/691200], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 251/11059200], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/147456], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/276480], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 107/1290240], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 121/1658880], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 29/737280], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/368640], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/516096], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/196608], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 31/2211840], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/172800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 11/1814400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/777600], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 61/806400], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 2089/32256000], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 11/345600], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 347/41472000], [[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 1/80640], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 11/144000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 1/72576], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/3600], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 103/259200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 227/1036800], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 1/691200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 5/290304], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/124416], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 1/290304], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 17/120960], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 7/51840], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/46080], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 163/1382400], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 11/737280], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 7/221184], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 59/1990656], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/122880], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/147456], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 121/302400], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 31/129600], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/103680], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/276480], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 5/193536], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/51840], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 61/622080], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 5/248832], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 5/46656], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 29/186624], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/165888], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 7/311040], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 37/995328], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/25920], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 103/933120], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 11/186624], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 97/403200], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/46080], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/576000], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 53/921600], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 31/19353600], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 31/8294400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/57600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 2569/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 3983/16588800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 7357/22118400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 11/147456], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/98304], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 31/414720], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/233280], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 59/3096576], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 161/3981312], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 11/2985984], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1244160], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 901/3096576], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 13/201600], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 125/1327104], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 25/387072], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 1/64800], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/161280], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 443/4147200], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 389/614400], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 949/4838400], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 13/55296], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 11/331776], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 125/3096576], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1/41472], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 25/221184], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 101/6635520], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 1/27648], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/15360], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 931/5529600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1993/5898240], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 17/737280], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 107/737280], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1321/3628800], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 71/1555200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 3989/69672960], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/24192], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 2219/6220800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 299/1105920], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 85237/331776000], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 6205/9289728], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 1469/3981312], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 23/580608], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/248832], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 2533/7962624], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/41472], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 11/276480], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 107/184320], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 2063/3317760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 1/9216], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 13/138240], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 23657/82944000], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 391/622080], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 769/1990656], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/25920], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/13440], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/69120], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/51200], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 661/66355200], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1909/12288000], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 1/18432], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/120960], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/51840], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 31/38707200], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 31/16588800], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 37/307200], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 793/11059200], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 7/368640], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 619/2764800], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 233/1843200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 8339/33177600], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 4141/11612160], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 583/14929920], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 2587/15482880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 313/9953280], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 8683/39813120], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 833/6635520], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 19/204800], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 15997/33177600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 8429/8847360], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 15149/66355200], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 25/221184], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 11/368640], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 775969/3483648000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/122880], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 11381/24883200], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 16589/39813120], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1643/8294400], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 11/115200], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 491/3317760], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 731/22118400], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 6509/55296000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 74927/445906944], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 16051/66355200], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/806400], [[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/345600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 3151/48384000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/41472], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 83/6451200], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 13/2764800], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/3686400], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/184320], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 1/1658880], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/245760], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 11/806400], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 3/716800], [[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/345600], [[[1, 8], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 1/8294400], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 7/115200], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 29/345600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 13/2073600], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/39690], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 127/8709120], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 13/1382400], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/2211840], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 5/1548288], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/663552], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 47/604800], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 7/259200], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 221/6220800], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/373248], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/373248], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/276480], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/466560], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/373248], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 37/806400], [[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/19353600], [[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8294400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 16673/38707200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 541/3317760], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1237/7372800], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/147456], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 31/110592000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 19/967680], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/3732480], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 31/46448640], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 31/19906560], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 647/3870720], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/115200], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 17/552960], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/129024], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 1/1036800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/230400], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 61/184320], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 341/8601600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1051/15482880], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 1/155520], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/774144], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/331776], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/165888], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/184320], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 407/11059200], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 809/17694720], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 7/737280], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 41/161280], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 13/1036800], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 1087/348364800], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 11/4838400], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 5/193536], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/241920], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 5/62208], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 683/2764800], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 159809/2322432000], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 2575/9289728], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 149/1327104], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 1/193536], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 239/7962624], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/414720], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1271/6635520], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 3389/23224320], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 31/691200], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 38009/580608000], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1693/3732480], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1667/9953280], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 73/2419200], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1382400], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 31/66355200], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 5927/258048000], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/967680], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/414720], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/38707200], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/16588800], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/76800], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2764800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 103/1036800], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 467/2211840], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 3623/20736000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 5317/15482880], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 629/29859840], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 1423/46448640], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 5/497664], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 7081/139345920], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 163/11059200], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 751/19353600], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 2341/5529600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 24743/53084160], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 883/22118400], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 7/245760], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 11/307200], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 48451/497664000], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 68729/99532800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 14653/39813120], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 313/4838400], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 241/5529600], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 19/663552], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/153600], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 16051/66355200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 74927/445906944], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 6509/55296000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 2017/12902400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 667/16588800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 52721/2322432000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/110592000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/580608], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/46448640], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/19906560], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 4307/108380160], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 31/9289728], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 1093/19353600], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 13/4300800], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 29/3870720], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/2488320], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/1228800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/1179648], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 167/2419200], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 1/1036800], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/16588800], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/9676800], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/387072], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 7/2073600], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 1049/11612160], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 2251/464486400], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 38497/975421440], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 4337/418037760], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2654208], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 109/8294400], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 61/7741440], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 7/1382400], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 599/116121600], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1627/18662400], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 2731/139345920], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/172800], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/66355200], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 10487/4644864000], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/30965760], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13271040], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/921600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 307/17418240], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 3529/22118400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 28751/580608000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 7121/46448640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 1/207360], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 67/46448640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1/995328], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 17/3483648], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 17/33177600], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 197/38707200], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 3277/22118400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 37399/371589120], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 71/44236800], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1/737280], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 47/2764800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 20137/1161216000], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 4981/11059200], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 6731/46448640], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 191/29030400], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 7/921600], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 13/7257600], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 11/14745600], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 354341/1393459200], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 109201/1114767360], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 15257/580608000], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 247/12902400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 1/368640], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 43/72576000], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 31607/9754214400], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 407/4180377600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 23/38707200], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/77414400], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/3096576], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/172800], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 227/23224320], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 37/60963840], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 1/13063680], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 7/11059200], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 17/18662400], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 43/139345920], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2419200], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 317/4644864000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 403/174182400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 2833/51609600], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 18073/3483648000], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 10049/325140480], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 29/69672960], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/30965760], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 37/557383680], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/66355200], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/9676800], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 8269/464486400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 84947/11147673600], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/44236800], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 17/5529600], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 2441/1741824000], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 80471/696729600], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 2101/92897280], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1843200], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 407/6967296000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/44236800], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 13921/99532800], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 137441/4459069440], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 33049/13934592000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/8294400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 15323/1990656000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 947/6967296000], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 66679/29262643200], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 23/1567641600], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 767/928972800], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1217/11147673600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/5529600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 109/3483648000], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 13379/1393459200], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 9827/8360755200], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3483648000], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 8923/232243200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 105577/22295347200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 1159/13934592000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 5137/13934592000], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 121/7315660800], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/3135283200], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/44236800], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 11/174182400], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 31/4180377600], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 8209/1672151040], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 2339/7431782400], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 9887/41803776000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 467/66886041600], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 13/10450944000], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/33443020800], [[[2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [14, 1]], 1/67200], [[[2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/28800], [[[2, 3], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/24192], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/806400], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/345600], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [28, 1]], 1/1512], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 1/648], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/2160], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1], [20, 1]], 1/240], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/28800], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/100800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/43200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/18144], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/107520], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/46080], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/12960], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/960], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/103680], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/6048], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/107520], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/46080], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/36288], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/193536], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/122880], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/120960], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 13/276480], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 121/806400], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 71/345600], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/387072], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/1209600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/518400], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/1382400], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 53/4838400], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/67200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/28800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [28, 1]], 1/1512], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 1/648], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/2160], [[[1, 2], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 1], [12, 1], [20, 1]], 1/240], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/100800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/43200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/720], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/35840], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 67/20736], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1152], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/720], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 17/41472], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/12960], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/960], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/103680], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/35840], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/15360], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/7200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 11/311040], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 7/69120], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/48000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 31/460800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 47/193536], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 31/82944], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 11/60480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 11/25920], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/18432], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/40960], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 7/51840], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 19/103680], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/18432], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 11/161280], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/69120], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 43/276480], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 7/23040], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/13824], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/207360], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/193536], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 17/193536], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 151/1209600], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 11/518400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 151/691200], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 43/460800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/73728], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/414720], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 967/9676800], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 683/464486400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 101/5529600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/100800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/43200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/720], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/35840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 67/20736], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1152], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1440], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/720], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/2160], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 17/41472], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/720], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/18144], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/46080], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/30240], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/12960], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/103680], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/35840], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/15360], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 11/28800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/25920], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 47/311040], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 233/806400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 173/345600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/153600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 53/144000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/51200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/1024], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/12096], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/10368], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 25/64512], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 7/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2592], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 5/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/960], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 131/55296], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2688], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/40320], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/103680], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7/92160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 11/64512], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 11/27648], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1728], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 5/55296], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/6912], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 253/806400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 173/345600], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 17/92160], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 3/17920], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/23040], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 13/46080], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/103680], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 53/207360], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 13/153600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 3/7168], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 47/120960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/12960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 41/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 829/2764800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 203/460800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 25/73728], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 317/2073600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/69120], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/276480], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 10621/232243200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 569/2764800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/368640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/960], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/100800], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/43200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/6048], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/107520], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/20160], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/18144], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/12960], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/103680], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/24192], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/107520], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/46080], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 53/144000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/25920], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 3/17920], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 253/806400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/23040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 173/345600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/51200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 11/28800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/153600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/1024], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 11/64512], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 11/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 5/55296], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 13/46080], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/64512], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/960], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 131/55296], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/960], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/40320], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/2592], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/103680], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 17/92160], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 25/64512], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 7/9216], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/10368], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 5/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 47/311040], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2880], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 233/806400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 173/345600], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/92160], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/34560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1601/2073600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 91/230400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 131/387072], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 41/64512], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6912], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 23/46080], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1536], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/46080], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1639/2764800], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1920], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 29/46080], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 19/12288], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1920], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 11/92160], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 739/1036800], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4608], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/13824], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 131/230400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 60793/165888000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 553/921600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/122880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/48000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 7/23040], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 11/161280], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 7/69120], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 31/460800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/9072], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/40960], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/51840], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 11/60480], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 11/25920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 19/103680], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 43/276480], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 47/193536], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 31/82944], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/17280], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 11/311040], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/23040], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/69120], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4608], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 739/1036800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 131/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 41/64512], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/6912], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 131/387072], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/103680], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 11/92160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/13824], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 29/46080], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1639/2764800], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 13/46080], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 19/12288], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/46080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1601/2073600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 91/230400], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23/73728], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 9763/10368000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 757/1105920], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 25/110592], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 121/806400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 71/345600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/36288], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/122880], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/60480], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 13/276480], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/193536], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 47/120960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/69120], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 317/2073600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2880], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 3/7168], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/27648], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/10368], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/241920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 203/460800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 829/2764800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 25/73728], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 41/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 53/207360], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/153600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 757/1105920], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 9763/10368000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23/73728], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 25/110592], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 151/1209600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 11/518400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/414720], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 967/9676800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 17/193536], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/193536], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 43/460800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/73728], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 151/691200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/207360], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 553/921600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 60793/165888000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/122880], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/1209600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/518400], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 53/4838400], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/387072], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/1382400], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 569/2764800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 10621/232243200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/368640], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 101/5529600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 683/464486400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5529600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/46080], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 47/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 47/46080], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/46080] ]}