{[ [[[1, 25]], 1/2006581248000], [[[2, 25]], 1/2006581248000], [[[1, 1], [2, 24]], 19/668860416000], [[[1, 2], [2, 23]], 13/18579456000], [[[1, 3], [2, 22]], 353/35831808000], [[[1, 4], [2, 21]], 59023/668860416000], [[[1, 5], [2, 20]], 353971/668860416000], [[[1, 6], [2, 19]], 91037/41803776000], [[[1, 7], [2, 18]], 172861/27869184000], [[[1, 8], [2, 17]], 181213/14863564800], [[[1, 9], [2, 16]], 728071/44590694400], [[[1, 10], [2, 15]], 54419/3715891200], [[[1, 11], [2, 14]], 581/66355200], [[[1, 11], [3, 7]], 1/139968], [[[1, 12], [2, 13]], 181/42467328], [[[1, 13], [2, 12]], 181/42467328], [[[1, 13], [3, 6]], 11/1399680], [[[1, 13], [5, 3]], 1/6912000], [[[1, 14], [2, 11]], 581/66355200], [[[1, 15], [2, 10]], 54419/3715891200], [[[1, 15], [3, 5]], 1621/522547200], [[[1, 16], [2, 9]], 728071/44590694400], [[[1, 17], [2, 8]], 181213/14863564800], [[[1, 17], [3, 4]], 3643/6270566400], [[[1, 17], [5, 2]], 43/3483648000], [[[1, 18], [2, 7]], 172861/27869184000], [[[1, 19], [2, 6]], 91037/41803776000], [[[1, 19], [3, 3]], 7033/125411328000], [[[1, 19], [7, 1]], 1/2786918400], [[[1, 20], [2, 5]], 353971/668860416000], [[[1, 21], [2, 4]], 59023/668860416000], [[[1, 21], [3, 2]], 463/167215104000], [[[1, 21], [5, 1]], 23/83607552000], [[[1, 22], [2, 3]], 353/35831808000], [[[1, 23], [2, 2]], 13/18579456000], [[[1, 23], [3, 1]], 1/15676416000], [[[1, 24], [2, 1]], 19/668860416000], [[[2, 11], [6, 7]], 1/139968], [[[2, 13], [6, 6]], 11/1399680], [[[2, 13], [10, 3]], 1/6912000], [[[2, 15], [6, 5]], 1621/522547200], [[[2, 17], [6, 4]], 3643/6270566400], [[[2, 17], [10, 2]], 43/3483648000], [[[2, 19], [6, 3]], 7033/125411328000], [[[2, 19], [14, 1]], 1/2786918400], [[[2, 21], [6, 2]], 463/167215104000], [[[2, 21], [10, 1]], 23/83607552000], [[[2, 23], [6, 1]], 1/15676416000], [[[1, 1], [2, 10], [6, 7]], 1/46656], [[[1, 1], [2, 12], [6, 6]], 29/466560], [[[1, 1], [2, 12], [10, 3]], 17/6912000], [[[1, 1], [2, 14], [6, 5]], 7417/174182400], [[[1, 1], [2, 16], [6, 4]], 24613/2090188800], [[[1, 1], [2, 16], [10, 2]], 1171/3483648000], [[[1, 1], [2, 18], [6, 3]], 64597/41803776000], [[[1, 1], [2, 18], [14, 1]], 1/77414400], [[[1, 1], [2, 20], [6, 2]], 5521/55738368000], [[[1, 1], [2, 20], [10, 1]], 871/83607552000], [[[1, 1], [2, 22], [4, 1]], 47/334430208000], [[[1, 1], [2, 22], [6, 1]], 241/83607552000], [[[1, 2], [2, 9], [6, 7]], 1/46656], [[[1, 2], [2, 11], [6, 6]], 1/6480], [[[1, 2], [2, 11], [10, 3]], 109/6912000], [[[1, 2], [2, 13], [6, 5]], 7271/34836480], [[[1, 2], [2, 15], [6, 4]], 3863/41803776], [[[1, 2], [2, 15], [10, 2]], 2147/580608000], [[[1, 2], [2, 17], [6, 3]], 13409/774144000], [[[1, 2], [2, 17], [14, 1]], 181/928972800], [[[1, 2], [2, 19], [4, 2]], 233/27869184000], [[[1, 2], [2, 19], [6, 2]], 16577/11147673600], [[[1, 2], [2, 19], [10, 1]], 13997/83607552000], [[[1, 2], [2, 21], [4, 1]], 1937/334430208000], [[[1, 2], [2, 21], [6, 1]], 2333/41803776000], [[[1, 3], [2, 8], [6, 7]], 1/139968], [[[1, 3], [2, 10], [6, 6]], 23/139968], [[[1, 3], [2, 10], [10, 3]], 37/768000], [[[1, 3], [2, 12], [6, 5]], 3253/6967296], [[[1, 3], [2, 14], [6, 4]], 1130177/3135283200], [[[1, 3], [2, 14], [10, 2]], 12409/580608000], [[[1, 3], [2, 16], [4, 3]], 167/928972800], [[[1, 3], [2, 16], [6, 3]], 642683/6270566400], [[[1, 3], [2, 16], [14, 1]], 1/622080], [[[1, 3], [2, 18], [4, 2]], 19/74317824], [[[1, 3], [2, 18], [6, 2]], 683161/55738368000], [[[1, 3], [2, 18], [10, 1]], 41743/27869184000], [[[1, 3], [2, 20], [4, 1]], 6833/66886041600], [[[1, 3], [2, 20], [6, 1]], 152713/250822656000], [[[1, 4], [2, 9], [6, 6]], 7/93312], [[[1, 4], [2, 9], [10, 3]], 173/2304000], [[[1, 4], [2, 11], [6, 5]], 2603/4976640], [[[1, 4], [2, 13], [4, 4]], 89/61931520], [[[1, 4], [2, 13], [6, 4]], 26431/34836480], [[[1, 4], [2, 13], [10, 2]], 20591/290304000], [[[1, 4], [2, 15], [4, 3]], 3557/928972800], [[[1, 4], [2, 15], [6, 3]], 292133/836075520], [[[1, 4], [2, 15], [14, 1]], 137/17203200], [[[1, 4], [2, 17], [4, 2]], 45043/13934592000], [[[1, 4], [2, 17], [6, 2]], 1700393/27869184000], [[[1, 4], [2, 17], [10, 1]], 16411/1990656000], [[[1, 4], [2, 19], [4, 1]], 67727/66886041600], [[[1, 4], [2, 19], [6, 1]], 2309/557383680], [[[1, 5], [2, 8], [6, 6]], 1/93312], [[[1, 5], [2, 8], [10, 3]], 47/768000], [[[1, 5], [2, 10], [4, 5]], 5/294912], [[[1, 5], [2, 10], [6, 5]], 289/995328], [[[1, 5], [2, 12], [4, 4]], 1273/61931520], [[[1, 5], [2, 12], [6, 4]], 229/258048], [[[1, 5], [2, 12], [10, 2]], 6757/48384000], [[[1, 5], [2, 14], [4, 3]], 10009/309657600], [[[1, 5], [2, 14], [6, 3]], 2964643/4180377600], [[[1, 5], [2, 14], [14, 1]], 2851/116121600], [[[1, 5], [2, 16], [4, 2]], 307157/13934592000], [[[1, 5], [2, 16], [6, 2]], 151879/796262400], [[[1, 5], [2, 16], [10, 1]], 406589/13934592000], [[[1, 5], [2, 18], [4, 1]], 347293/55738368000], [[[1, 5], [2, 18], [6, 1]], 85441/4644864000], [[[1, 6], [2, 7], [5, 3]], 1/256000], [[[1, 6], [2, 7], [10, 3]], 19/768000], [[[1, 6], [2, 9], [4, 5]], 35/294912], [[[1, 6], [2, 9], [6, 5]], 209/2985984], [[[1, 6], [2, 11], [4, 4]], 55/387072], [[[1, 6], [2, 11], [6, 4]], 16907/29859840], [[[1, 6], [2, 11], [10, 2]], 31631/193536000], [[[1, 6], [2, 13], [4, 3]], 43579/309657600], [[[1, 6], [2, 13], [6, 3]], 180017/209018880], [[[1, 6], [2, 13], [14, 1]], 7339/154828800], [[[1, 6], [2, 15], [4, 2]], 41249/464486400], [[[1, 6], [2, 15], [6, 2]], 905573/2388787200], [[[1, 6], [2, 15], [10, 1]], 313801/4644864000], [[[1, 6], [2, 17], [4, 1]], 461521/18579456000], [[[1, 6], [2, 17], [6, 1]], 1135153/20901888000], [[[1, 7], [2, 6], [5, 3]], 19/768000], [[[1, 7], [2, 6], [10, 3]], 1/256000], [[[1, 7], [2, 8], [4, 5]], 5/12288], [[[1, 7], [2, 8], [6, 5]], 5/995328], [[[1, 7], [2, 10], [4, 4]], 1097/2211840], [[[1, 7], [2, 10], [6, 4]], 361/1990656], [[[1, 7], [2, 10], [10, 2]], 113/1024000], [[[1, 7], [2, 12], [4, 3]], 22879/61931520], [[[1, 7], [2, 12], [6, 3]], 85159/139345920], [[[1, 7], [2, 12], [14, 1]], 109/1935360], [[[1, 7], [2, 14], [4, 2]], 1457/6635520], [[[1, 7], [2, 14], [6, 2]], 530737/1114767360], [[[1, 7], [2, 14], [10, 1]], 474457/4644864000], [[[1, 7], [2, 16], [4, 1]], 725759/11147673600], [[[1, 7], [2, 16], [6, 1]], 297769/2786918400], [[[1, 7], [3, 3], [5, 3]], 1/54000], [[[1, 7], [3, 5], [5, 2]], 1/97200], [[[1, 8], [2, 3], [3, 7]], 1/139968], [[[1, 8], [2, 5], [3, 6]], 1/93312], [[[1, 8], [2, 5], [5, 3]], 47/768000], [[[1, 8], [2, 7], [3, 5]], 5/995328], [[[1, 8], [2, 7], [4, 5]], 5/12288], [[[1, 8], [2, 9], [3, 4]], 1/1327104], [[[1, 8], [2, 9], [4, 4]], 353/294912], [[[1, 8], [2, 9], [5, 2]], 7/1228800], [[[1, 8], [2, 9], [6, 4]], 95/3981312], [[[1, 8], [2, 9], [10, 2]], 29/737280], [[[1, 8], [2, 11], [4, 3]], 1151/1769472], [[[1, 8], [2, 11], [6, 3]], 6317/26542080], [[[1, 8], [2, 11], [14, 1]], 2497/61931520], [[[1, 8], [2, 13], [4, 2]], 321683/928972800], [[[1, 8], [2, 13], [6, 2]], 30419/82575360], [[[1, 8], [2, 13], [10, 1]], 61613/619315200], [[[1, 8], [2, 15], [4, 1]], 178471/1592524800], [[[1, 8], [2, 15], [6, 1]], 193061/1393459200], [[[1, 9], [2, 2], [3, 7]], 1/46656], [[[1, 9], [2, 4], [3, 6]], 7/93312], [[[1, 9], [2, 4], [5, 3]], 173/2304000], [[[1, 9], [2, 6], [3, 5]], 209/2985984], [[[1, 9], [2, 6], [4, 5]], 35/294912], [[[1, 9], [2, 8], [3, 4]], 95/3981312], [[[1, 9], [2, 8], [4, 4]], 353/294912], [[[1, 9], [2, 8], [5, 2]], 29/737280], [[[1, 9], [2, 8], [6, 4]], 1/1327104], [[[1, 9], [2, 8], [10, 2]], 7/1228800], [[[1, 9], [2, 10], [3, 3]], 7/2654208], [[[1, 9], [2, 10], [4, 3]], 2293/2211840], [[[1, 9], [2, 10], [6, 3]], 3529/79626240], [[[1, 9], [2, 10], [7, 1]], 109/20643840], [[[1, 9], [2, 10], [14, 1]], 289/15482880], [[[1, 9], [2, 12], [4, 2]], 49651/132710400], [[[1, 9], [2, 12], [6, 2]], 17801/106168320], [[[1, 9], [2, 12], [10, 1]], 5467/88473600], [[[1, 9], [2, 14], [4, 1]], 313861/2477260800], [[[1, 9], [2, 14], [6, 1]], 215249/1857945600], [[[1, 9], [3, 2], [5, 3]], 1/72000], [[[1, 9], [3, 4], [5, 2]], 1/24300], [[[1, 9], [3, 5], [7, 1]], 1/54432], [[[1, 9], [3, 6], [5, 1]], 1/58320], [[[1, 10], [2, 1], [3, 7]], 1/46656], [[[1, 10], [2, 3], [3, 6]], 23/139968], [[[1, 10], [2, 3], [5, 3]], 37/768000], [[[1, 10], [2, 5], [3, 5]], 289/995328], [[[1, 10], [2, 5], [4, 5]], 5/294912], [[[1, 10], [2, 7], [3, 4]], 361/1990656], [[[1, 10], [2, 7], [4, 4]], 1097/2211840], [[[1, 10], [2, 7], [5, 2]], 113/1024000], [[[1, 10], [2, 9], [3, 3]], 3529/79626240], [[[1, 10], [2, 9], [4, 3]], 2293/2211840], [[[1, 10], [2, 9], [6, 3]], 7/2654208], [[[1, 10], [2, 9], [7, 1]], 289/15482880], [[[1, 10], [2, 9], [14, 1]], 109/20643840], [[[1, 10], [2, 11], [3, 2]], 409/106168320], [[[1, 10], [2, 11], [4, 2]], 1123/2949120], [[[1, 10], [2, 11], [5, 1]], 139/29491200], [[[1, 10], [2, 11], [6, 2]], 865/21233664], [[[1, 10], [2, 11], [10, 1]], 2113/88473600], [[[1, 10], [2, 13], [4, 1]], 102631/1061683200], [[[1, 10], [2, 13], [6, 1]], 8083/132710400], [[[1, 11], [2, 2], [3, 6]], 1/6480], [[[1, 11], [2, 2], [5, 3]], 109/6912000], [[[1, 11], [2, 4], [3, 5]], 2603/4976640], [[[1, 11], [2, 6], [3, 4]], 16907/29859840], [[[1, 11], [2, 6], [4, 4]], 55/387072], [[[1, 11], [2, 6], [5, 2]], 31631/193536000], [[[1, 11], [2, 8], [3, 3]], 6317/26542080], [[[1, 11], [2, 8], [4, 3]], 1151/1769472], [[[1, 11], [2, 8], [7, 1]], 2497/61931520], [[[1, 11], [2, 10], [3, 2]], 865/21233664], [[[1, 11], [2, 10], [4, 2]], 1123/2949120], [[[1, 11], [2, 10], [5, 1]], 2113/88473600], [[[1, 11], [2, 10], [6, 2]], 409/106168320], [[[1, 11], [2, 10], [10, 1]], 139/29491200], [[[1, 11], [2, 12], [3, 1]], 77/26542080], [[[1, 11], [2, 12], [4, 1]], 433/6635520], [[[1, 11], [2, 12], [6, 1]], 113/5898240], [[[1, 11], [3, 1], [5, 3]], 1/384000], [[[1, 11], [3, 3], [5, 2]], 6119/217728000], [[[1, 11], [3, 4], [7, 1]], 17/1088640], [[[1, 11], [3, 5], [5, 1]], 1/32400], [[[1, 11], [5, 2], [7, 1]], 1/4838400], [[[1, 12], [2, 1], [3, 6]], 29/466560], [[[1, 12], [2, 1], [5, 3]], 17/6912000], [[[1, 12], [2, 3], [3, 5]], 3253/6967296], [[[1, 12], [2, 5], [3, 4]], 229/258048], [[[1, 12], [2, 5], [4, 4]], 1273/61931520], [[[1, 12], [2, 5], [5, 2]], 6757/48384000], [[[1, 12], [2, 7], [3, 3]], 85159/139345920], [[[1, 12], [2, 7], [4, 3]], 22879/61931520], [[[1, 12], [2, 7], [7, 1]], 109/1935360], [[[1, 12], [2, 9], [3, 2]], 17801/106168320], [[[1, 12], [2, 9], [4, 2]], 49651/132710400], [[[1, 12], [2, 9], [5, 1]], 5467/88473600], [[[1, 12], [2, 11], [3, 1]], 113/5898240], [[[1, 12], [2, 11], [4, 1]], 433/6635520], [[[1, 12], [2, 11], [6, 1]], 77/26542080], [[[1, 13], [2, 2], [3, 5]], 7271/34836480], [[[1, 13], [2, 4], [3, 4]], 26431/34836480], [[[1, 13], [2, 4], [4, 4]], 89/61931520], [[[1, 13], [2, 4], [5, 2]], 20591/290304000], [[[1, 13], [2, 6], [3, 3]], 180017/209018880], [[[1, 13], [2, 6], [4, 3]], 43579/309657600], [[[1, 13], [2, 6], [7, 1]], 7339/154828800], [[[1, 13], [2, 8], [3, 2]], 30419/82575360], [[[1, 13], [2, 8], [4, 2]], 321683/928972800], [[[1, 13], [2, 8], [5, 1]], 61613/619315200], [[[1, 13], [2, 10], [3, 1]], 8083/132710400], [[[1, 13], [2, 10], [4, 1]], 102631/1061683200], [[[1, 13], [3, 2], [5, 2]], 5197/870912000], [[[1, 13], [3, 3], [7, 1]], 349/87091200], [[[1, 13], [3, 4], [5, 1]], 761/43545600], [[[1, 14], [2, 1], [3, 5]], 7417/174182400], [[[1, 14], [2, 3], [3, 4]], 1130177/3135283200], [[[1, 14], [2, 3], [5, 2]], 12409/580608000], [[[1, 14], [2, 5], [3, 3]], 2964643/4180377600], [[[1, 14], [2, 5], [4, 3]], 10009/309657600], [[[1, 14], [2, 5], [7, 1]], 2851/116121600], [[[1, 14], [2, 7], [3, 2]], 530737/1114767360], [[[1, 14], [2, 7], [4, 2]], 1457/6635520], [[[1, 14], [2, 7], [5, 1]], 474457/4644864000], [[[1, 14], [2, 9], [3, 1]], 215249/1857945600], [[[1, 14], [2, 9], [4, 1]], 313861/2477260800], [[[1, 15], [2, 2], [3, 4]], 3863/41803776], [[[1, 15], [2, 2], [5, 2]], 2147/580608000], [[[1, 15], [2, 4], [3, 3]], 292133/836075520], [[[1, 15], [2, 4], [4, 3]], 3557/928972800], [[[1, 15], [2, 4], [7, 1]], 137/17203200], [[[1, 15], [2, 6], [3, 2]], 905573/2388787200], [[[1, 15], [2, 6], [4, 2]], 41249/464486400], [[[1, 15], [2, 6], [5, 1]], 313801/4644864000], [[[1, 15], [2, 8], [3, 1]], 193061/1393459200], [[[1, 15], [2, 8], [4, 1]], 178471/1592524800], [[[1, 15], [3, 1], [5, 2]], 421/870912000], [[[1, 15], [3, 2], [7, 1]], 19/43545600], [[[1, 15], [3, 3], [5, 1]], 10117/2612736000], [[[1, 15], [5, 1], [7, 1]], 1/58060800], [[[1, 16], [2, 1], [3, 4]], 24613/2090188800], [[[1, 16], [2, 1], [5, 2]], 1171/3483648000], [[[1, 16], [2, 3], [3, 3]], 642683/6270566400], [[[1, 16], [2, 3], [4, 3]], 167/928972800], [[[1, 16], [2, 3], [7, 1]], 1/622080], [[[1, 16], [2, 5], [3, 2]], 151879/796262400], [[[1, 16], [2, 5], [4, 2]], 307157/13934592000], [[[1, 16], [2, 5], [5, 1]], 406589/13934592000], [[[1, 16], [2, 7], [3, 1]], 297769/2786918400], [[[1, 16], [2, 7], [4, 1]], 725759/11147673600], [[[1, 17], [2, 2], [3, 3]], 13409/774144000], [[[1, 17], [2, 2], [7, 1]], 181/928972800], [[[1, 17], [2, 4], [3, 2]], 1700393/27869184000], [[[1, 17], [2, 4], [4, 2]], 45043/13934592000], [[[1, 17], [2, 4], [5, 1]], 16411/1990656000], [[[1, 17], [2, 6], [3, 1]], 1135153/20901888000], [[[1, 17], [2, 6], [4, 1]], 461521/18579456000], [[[1, 17], [3, 1], [7, 1]], 29/1393459200], [[[1, 17], [3, 2], [5, 1]], 449/1161216000], [[[1, 18], [2, 1], [3, 3]], 64597/41803776000], [[[1, 18], [2, 1], [7, 1]], 1/77414400], [[[1, 18], [2, 3], [3, 2]], 683161/55738368000], [[[1, 18], [2, 3], [4, 2]], 19/74317824], [[[1, 18], [2, 3], [5, 1]], 41743/27869184000], [[[1, 18], [2, 5], [3, 1]], 85441/4644864000], [[[1, 18], [2, 5], [4, 1]], 347293/55738368000], [[[1, 19], [2, 2], [3, 2]], 16577/11147673600], [[[1, 19], [2, 2], [4, 2]], 233/27869184000], [[[1, 19], [2, 2], [5, 1]], 13997/83607552000], [[[1, 19], [2, 4], [3, 1]], 2309/557383680], [[[1, 19], [2, 4], [4, 1]], 67727/66886041600], [[[1, 19], [3, 1], [5, 1]], 239/13934592000], [[[1, 20], [2, 1], [3, 2]], 5521/55738368000], [[[1, 20], [2, 1], [5, 1]], 871/83607552000], [[[1, 20], [2, 3], [3, 1]], 152713/250822656000], [[[1, 20], [2, 3], [4, 1]], 6833/66886041600], [[[1, 21], [2, 2], [3, 1]], 2333/41803776000], [[[1, 21], [2, 2], [4, 1]], 1937/334430208000], [[[1, 22], [2, 1], [3, 1]], 241/83607552000], [[[1, 22], [2, 1], [4, 1]], 47/334430208000], [[[2, 7], [6, 3], [10, 3]], 1/54000], [[[2, 7], [6, 5], [10, 2]], 1/97200], [[[2, 9], [6, 2], [10, 3]], 1/72000], [[[2, 9], [6, 4], [10, 2]], 1/24300], [[[2, 9], [6, 5], [14, 1]], 1/54432], [[[2, 9], [6, 6], [10, 1]], 1/58320], [[[2, 11], [6, 1], [10, 3]], 1/384000], [[[2, 11], [6, 3], [10, 2]], 6119/217728000], [[[2, 11], [6, 4], [14, 1]], 17/1088640], [[[2, 11], [6, 5], [10, 1]], 1/32400], [[[2, 11], [10, 2], [14, 1]], 1/4838400], [[[2, 13], [6, 2], [10, 2]], 5197/870912000], [[[2, 13], [6, 3], [14, 1]], 349/87091200], [[[2, 13], [6, 4], [10, 1]], 761/43545600], [[[2, 15], [6, 1], [10, 2]], 421/870912000], [[[2, 15], [6, 2], [14, 1]], 19/43545600], [[[2, 15], [6, 3], [10, 1]], 10117/2612736000], [[[2, 15], [10, 1], [14, 1]], 1/58060800], [[[2, 17], [6, 1], [14, 1]], 29/1393459200], [[[2, 17], [6, 2], [10, 1]], 449/1161216000], [[[2, 19], [6, 1], [10, 1]], 239/13934592000], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/27000], [[[1, 1], [2, 6], [6, 5], [10, 2]], 1/97200], [[[1, 1], [2, 8], [6, 2], [10, 3]], 1/12000], [[[1, 1], [2, 8], [6, 4], [10, 2]], 29/194400], [[[1, 1], [2, 8], [6, 5], [14, 1]], 1/18144], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/29160], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/46656], [[[1, 1], [2, 10], [4, 1], [6, 6]], 1/23328], [[[1, 1], [2, 10], [4, 1], [10, 3]], 1/576000], [[[1, 1], [2, 10], [6, 1], [10, 3]], 17/576000], [[[1, 1], [2, 10], [6, 3], [10, 2]], 47363/217728000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 43/362880], [[[1, 1], [2, 10], [6, 5], [10, 1]], 67/388800], [[[1, 1], [2, 10], [10, 2], [14, 1]], 1/302400], [[[1, 1], [2, 12], [3, 1], [6, 5]], 17/933120], [[[1, 1], [2, 12], [4, 1], [6, 5]], 59/1244160], [[[1, 1], [2, 12], [6, 2], [10, 2]], 69637/870912000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 59/1075200], [[[1, 1], [2, 12], [6, 4], [10, 1]], 3799/21772800], [[[1, 1], [2, 14], [3, 1], [6, 4]], 349/74649600], [[[1, 1], [2, 14], [4, 1], [6, 4]], 713/38707200], [[[1, 1], [2, 14], [4, 1], [10, 2]], 331/580608000], [[[1, 1], [2, 14], [6, 1], [10, 2]], 4169/435456000], [[[1, 1], [2, 14], [6, 2], [14, 1]], 13/1451520], [[[1, 1], [2, 14], [6, 3], [10, 1]], 159659/2612736000], [[[1, 1], [2, 14], [10, 1], [14, 1]], 13/29030400], [[[1, 1], [2, 16], [3, 1], [6, 3]], 19/37324800], [[[1, 1], [2, 16], [4, 1], [6, 3]], 671/209018880], [[[1, 1], [2, 16], [4, 1], [14, 1]], 1/38707200], [[[1, 1], [2, 16], [6, 1], [14, 1]], 271/464486400], [[[1, 1], [2, 16], [6, 2], [10, 1]], 30217/3483648000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 29/1194393600], [[[1, 1], [2, 18], [4, 1], [6, 2]], 7481/27869184000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 1/41472000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 3571/6967296000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/2388787200], [[[1, 1], [2, 20], [4, 1], [6, 1]], 19/1857945600], [[[1, 2], [2, 5], [6, 3], [10, 3]], 1/54000], [[[1, 2], [2, 7], [4, 2], [10, 3]], 1/192000], [[[1, 2], [2, 7], [6, 2], [10, 3]], 1/7200], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/6480], [[[1, 2], [2, 7], [6, 5], [14, 1]], 1/18144], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/58320], [[[1, 2], [2, 9], [3, 1], [6, 6]], 1/15552], [[[1, 2], [2, 9], [4, 1], [6, 6]], 5/46656], [[[1, 2], [2, 9], [4, 1], [10, 3]], 11/576000], [[[1, 2], [2, 9], [4, 2], [6, 5]], 25/248832], [[[1, 2], [2, 9], [6, 1], [10, 3]], 43/384000], [[[1, 2], [2, 9], [6, 3], [10, 2]], 2857/5184000], [[[1, 2], [2, 9], [6, 4], [14, 1]], 13/45360], [[[1, 2], [2, 9], [6, 5], [10, 1]], 23/77760], [[[1, 2], [2, 9], [10, 2], [14, 1]], 31/1612800], [[[1, 2], [2, 11], [3, 1], [6, 5]], 43/311040], [[[1, 2], [2, 11], [4, 1], [6, 5]], 83/248832], [[[1, 2], [2, 11], [4, 2], [6, 4]], 551/4976640], [[[1, 2], [2, 11], [4, 2], [8, 2]], 1/3870720], [[[1, 2], [2, 11], [4, 2], [10, 2]], 533/96768000], [[[1, 2], [2, 11], [6, 2], [10, 2]], 7411/19353600], [[[1, 2], [2, 11], [6, 3], [14, 1]], 307/1161216], [[[1, 2], [2, 11], [6, 4], [10, 1]], 599/967680], [[[1, 2], [2, 13], [3, 1], [6, 4]], 59/921600], [[[1, 2], [2, 13], [4, 1], [6, 4]], 11291/49766400], [[[1, 2], [2, 13], [4, 1], [10, 2]], 6061/580608000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 2869/69672960], [[[1, 2], [2, 13], [4, 2], [14, 1]], 23/38707200], [[[1, 2], [2, 13], [6, 1], [10, 2]], 1519/20736000], [[[1, 2], [2, 13], [6, 2], [14, 1]], 409/5806080], [[[1, 2], [2, 13], [6, 3], [10, 1]], 135631/373248000], [[[1, 2], [2, 13], [10, 1], [14, 1]], 67/14515200], [[[1, 2], [2, 15], [3, 1], [6, 3]], 13/1244160], [[[1, 2], [2, 15], [4, 1], [6, 3]], 30839/522547200], [[[1, 2], [2, 15], [4, 1], [14, 1]], 1/1451520], [[[1, 2], [2, 15], [4, 2], [6, 2]], 8671/1393459200], [[[1, 2], [2, 15], [4, 2], [10, 1]], 739/1161216000], [[[1, 2], [2, 15], [6, 1], [14, 1]], 767/116121600], [[[1, 2], [2, 15], [6, 2], [10, 1]], 6733/87091200], [[[1, 2], [2, 17], [3, 1], [6, 2]], 271/398131200], [[[1, 2], [2, 17], [4, 1], [6, 2]], 26911/3981312000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 149/217728000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 49/124416000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 29329/4644864000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 1/66355200], [[[1, 2], [2, 19], [4, 1], [6, 1]], 2339/6967296000], [[[1, 3], [2, 6], [4, 2], [10, 3]], 1/38400], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/12000], [[[1, 3], [2, 6], [6, 4], [10, 2]], 1/21600], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/54432], [[[1, 3], [2, 8], [3, 1], [6, 6]], 1/15552], [[[1, 3], [2, 8], [4, 1], [6, 6]], 1/11664], [[[1, 3], [2, 8], [4, 1], [10, 3]], 1/14400], [[[1, 3], [2, 8], [4, 2], [6, 5]], 17/82944], [[[1, 3], [2, 8], [4, 3], [6, 4]], 19/165888], [[[1, 3], [2, 8], [4, 3], [8, 2]], 1/18432], [[[1, 3], [2, 8], [4, 3], [10, 2]], 7/460800], [[[1, 3], [2, 8], [6, 1], [10, 3]], 17/96000], [[[1, 3], [2, 8], [6, 3], [10, 2]], 601/1036800], [[[1, 3], [2, 8], [6, 4], [14, 1]], 1/3402], [[[1, 3], [2, 8], [6, 5], [10, 1]], 1/5184], [[[1, 3], [2, 8], [10, 2], [14, 1]], 1/20160], [[[1, 3], [2, 10], [3, 1], [6, 5]], 13/38880], [[[1, 3], [2, 10], [4, 1], [6, 5]], 73/103680], [[[1, 3], [2, 10], [4, 2], [6, 4]], 379/552960], [[[1, 3], [2, 10], [4, 2], [8, 2]], 5/774144], [[[1, 3], [2, 10], [4, 2], [10, 2]], 1237/19353600], [[[1, 3], [2, 10], [4, 3], [6, 3]], 103/829440], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1/215040], [[[1, 3], [2, 10], [6, 2], [10, 2]], 81583/96768000], [[[1, 3], [2, 10], [6, 3], [14, 1]], 10043/17418240], [[[1, 3], [2, 10], [6, 4], [10, 1]], 1531/1555200], [[[1, 3], [2, 12], [3, 1], [6, 4]], 307/995328], [[[1, 3], [2, 12], [4, 1], [6, 4]], 68569/69672960], [[[1, 3], [2, 12], [4, 1], [10, 2]], 113/1548288], [[[1, 3], [2, 12], [4, 2], [6, 3]], 10489/23224320], [[[1, 3], [2, 12], [4, 2], [14, 1]], 103/9676800], [[[1, 3], [2, 12], [4, 3], [6, 2]], 3307/77414400], [[[1, 3], [2, 12], [4, 3], [8, 1]], 1/3870720], [[[1, 3], [2, 12], [4, 3], [10, 1]], 17/3225600], [[[1, 3], [2, 12], [6, 1], [10, 2]], 13471/48384000], [[[1, 3], [2, 12], [6, 2], [14, 1]], 5927/21772800], [[[1, 3], [2, 12], [6, 3], [10, 1]], 26297/24883200], [[[1, 3], [2, 12], [10, 1], [14, 1]], 47/1935360], [[[1, 3], [2, 14], [3, 1], [6, 3]], 409/4976640], [[[1, 3], [2, 14], [4, 1], [6, 3]], 31063/74649600], [[[1, 3], [2, 14], [4, 1], [14, 1]], 17/2322432], [[[1, 3], [2, 14], [4, 2], [6, 2]], 9649/92897280], [[[1, 3], [2, 14], [4, 2], [10, 1]], 961/77414400], [[[1, 3], [2, 14], [4, 3], [6, 1]], 1159/232243200], [[[1, 3], [2, 14], [6, 1], [14, 1]], 13637/348364800], [[[1, 3], [2, 14], [6, 2], [10, 1]], 103301/290304000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 767/99532800], [[[1, 3], [2, 16], [4, 1], [6, 2]], 159713/2322432000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 2759/348364800], [[[1, 3], [2, 16], [4, 2], [6, 1]], 1177/129024000], [[[1, 3], [2, 16], [6, 1], [10, 1]], 73019/1741824000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 181/796262400], [[[1, 3], [2, 18], [4, 1], [6, 1]], 128243/27869184000], [[[1, 4], [2, 5], [4, 2], [5, 3]], 1/64000], [[[1, 4], [2, 5], [4, 2], [10, 3]], 7/192000], [[[1, 4], [2, 5], [6, 2], [10, 3]], 1/72000], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/46656], [[[1, 4], [2, 7], [3, 2], [6, 5]], 1/7776], [[[1, 4], [2, 7], [4, 1], [6, 6]], 1/46656], [[[1, 4], [2, 7], [4, 1], [10, 3]], 1/9600], [[[1, 4], [2, 7], [4, 2], [6, 5]], 31/248832], [[[1, 4], [2, 7], [4, 3], [6, 4]], 31/165888], [[[1, 4], [2, 7], [4, 3], [8, 2]], 7/18432], [[[1, 4], [2, 7], [4, 3], [10, 2]], 37/460800], [[[1, 4], [2, 7], [4, 4], [6, 3]], 11/110592], [[[1, 4], [2, 7], [4, 4], [14, 1]], 5/86016], [[[1, 4], [2, 7], [6, 1], [10, 3]], 29/230400], [[[1, 4], [2, 7], [6, 3], [10, 2]], 103/414720], [[[1, 4], [2, 7], [6, 4], [14, 1]], 1/8064], [[[1, 4], [2, 7], [6, 5], [10, 1]], 1/25920], [[[1, 4], [2, 7], [10, 2], [14, 1]], 31/537600], [[[1, 4], [2, 9], [3, 1], [6, 5]], 1/2916], [[[1, 4], [2, 9], [3, 2], [6, 4]], 1/10368], [[[1, 4], [2, 9], [4, 1], [6, 5]], 19/31104], [[[1, 4], [2, 9], [4, 2], [6, 4]], 149/124416], [[[1, 4], [2, 9], [4, 2], [8, 2]], 1/20160], [[[1, 4], [2, 9], [4, 2], [10, 2]], 1009/4032000], [[[1, 4], [2, 9], [4, 3], [6, 3]], 139/207360], [[[1, 4], [2, 9], [4, 3], [14, 1]], 1/20160], [[[1, 4], [2, 9], [4, 4], [6, 2]], 23/245760], [[[1, 4], [2, 9], [4, 4], [8, 1]], 1/18432], [[[1, 4], [2, 9], [4, 4], [10, 1]], 17/368640], [[[1, 4], [2, 9], [5, 1], [10, 2]], 1/57600], [[[1, 4], [2, 9], [6, 2], [10, 2]], 12689/13824000], [[[1, 4], [2, 9], [6, 3], [14, 1]], 397/645120], [[[1, 4], [2, 9], [6, 4], [10, 1]], 913/1244160], [[[1, 4], [2, 11], [3, 1], [6, 4]], 10043/14929920], [[[1, 4], [2, 11], [3, 2], [6, 3]], 1/60480], [[[1, 4], [2, 11], [4, 1], [6, 4]], 14629/7741440], [[[1, 4], [2, 11], [4, 1], [10, 2]], 641/2580480], [[[1, 4], [2, 11], [4, 2], [6, 3]], 29779/17418240], [[[1, 4], [2, 11], [4, 2], [14, 1]], 2719/38707200], [[[1, 4], [2, 11], [4, 3], [6, 2]], 31987/77414400], [[[1, 4], [2, 11], [4, 3], [8, 1]], 5/774144], [[[1, 4], [2, 11], [4, 3], [10, 1]], 631/9676800], [[[1, 4], [2, 11], [4, 4], [6, 1]], 1/40320], [[[1, 4], [2, 11], [6, 1], [10, 2]], 1381/2419200], [[[1, 4], [2, 11], [6, 2], [14, 1]], 361/645120], [[[1, 4], [2, 11], [6, 3], [10, 1]], 56591/34836480], [[[1, 4], [2, 11], [10, 1], [14, 1]], 97/1382400], [[[1, 4], [2, 13], [3, 1], [6, 3]], 5927/18662400], [[[1, 4], [2, 13], [3, 2], [6, 2]], 1/4354560], [[[1, 4], [2, 13], [4, 1], [6, 3]], 187813/130636800], [[[1, 4], [2, 13], [4, 1], [14, 1]], 29/725760], [[[1, 4], [2, 13], [4, 2], [6, 2]], 182369/278691840], [[[1, 4], [2, 13], [4, 2], [8, 1]], 1/2903040], [[[1, 4], [2, 13], [4, 2], [10, 1]], 108683/1161216000], [[[1, 4], [2, 13], [4, 3], [6, 1]], 439/5806080], [[[1, 4], [2, 13], [5, 1], [10, 1]], 1/29030400], [[[1, 4], [2, 13], [6, 1], [14, 1]], 3413/25804800], [[[1, 4], [2, 13], [6, 2], [10, 1]], 537857/580608000], [[[1, 4], [2, 15], [3, 1], [6, 2]], 13637/298598400], [[[1, 4], [2, 15], [4, 1], [6, 2]], 510011/1393459200], [[[1, 4], [2, 15], [4, 1], [10, 1]], 5657/116121600], [[[1, 4], [2, 15], [4, 2], [6, 1]], 73513/870912000], [[[1, 4], [2, 15], [6, 1], [10, 1]], 229967/1393459200], [[[1, 4], [2, 17], [3, 1], [6, 1]], 7/3732480], [[[1, 4], [2, 17], [4, 1], [6, 1]], 19981/580608000], [[[1, 5], [2, 2], [3, 3], [5, 3]], 1/54000], [[[1, 5], [2, 4], [3, 2], [5, 3]], 1/72000], [[[1, 5], [2, 4], [4, 2], [5, 3]], 7/192000], [[[1, 5], [2, 4], [4, 2], [10, 3]], 1/64000], [[[1, 5], [2, 6], [3, 1], [5, 3]], 1/384000], [[[1, 5], [2, 6], [3, 2], [4, 5]], 5/73728], [[[1, 5], [2, 6], [3, 2], [6, 5]], 1/7776], [[[1, 5], [2, 6], [3, 3], [4, 4]], 1/55296], [[[1, 5], [2, 6], [3, 3], [6, 4]], 1/2592], [[[1, 5], [2, 6], [3, 4], [4, 3]], 1/165888], [[[1, 5], [2, 6], [3, 4], [6, 3]], 1/2592], [[[1, 5], [2, 6], [4, 1], [5, 3]], 1/64000], [[[1, 5], [2, 6], [4, 1], [10, 3]], 13/192000], [[[1, 5], [2, 6], [4, 2], [6, 5]], 5/248832], [[[1, 5], [2, 6], [4, 3], [5, 2]], 3/51200], [[[1, 5], [2, 6], [4, 3], [6, 4]], 13/165888], [[[1, 5], [2, 6], [4, 3], [8, 2]], 1/768], [[[1, 5], [2, 6], [4, 3], [10, 2]], 19/153600], [[[1, 5], [2, 6], [4, 4], [6, 3]], 13/110592], [[[1, 5], [2, 6], [4, 4], [7, 1]], 5/28672], [[[1, 5], [2, 6], [4, 4], [14, 1]], 5/21504], [[[1, 5], [2, 6], [4, 5], [6, 2]], 5/73728], [[[1, 5], [2, 6], [5, 2], [7, 1]], 1/179200], [[[1, 5], [2, 6], [6, 1], [10, 3]], 7/192000], [[[1, 5], [2, 6], [6, 3], [10, 2]], 7/230400], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/72576], [[[1, 5], [2, 6], [10, 2], [14, 1]], 1/33600], [[[1, 5], [2, 8], [3, 1], [6, 5]], 1/6912], [[[1, 5], [2, 8], [3, 2], [6, 4]], 5/10368], [[[1, 5], [2, 8], [3, 3], [6, 3]], 1/5184], [[[1, 5], [2, 8], [4, 1], [6, 5]], 53/248832], [[[1, 5], [2, 8], [4, 2], [6, 4]], 25/31104], [[[1, 5], [2, 8], [4, 2], [8, 2]], 7/46080], [[[1, 5], [2, 8], [4, 2], [10, 2]], 481/1152000], [[[1, 5], [2, 8], [4, 3], [6, 3]], 143/138240], [[[1, 5], [2, 8], [4, 3], [14, 1]], 23/80640], [[[1, 5], [2, 8], [4, 4], [6, 2]], 329/737280], [[[1, 5], [2, 8], [4, 4], [8, 1]], 7/18432], [[[1, 5], [2, 8], [4, 4], [10, 1]], 89/368640], [[[1, 5], [2, 8], [4, 5], [6, 1]], 5/73728], [[[1, 5], [2, 8], [5, 1], [10, 2]], 1/11520], [[[1, 5], [2, 8], [6, 2], [10, 2]], 1333/2764800], [[[1, 5], [2, 8], [6, 3], [14, 1]], 359/1161216], [[[1, 5], [2, 8], [6, 4], [10, 1]], 29/124416], [[[1, 5], [2, 10], [3, 1], [6, 4]], 397/552960], [[[1, 5], [2, 10], [3, 2], [6, 3]], 31/181440], [[[1, 5], [2, 10], [4, 1], [6, 4]], 5791/3317760], [[[1, 5], [2, 10], [4, 1], [10, 2]], 85903/193536000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 95491/34836480], [[[1, 5], [2, 10], [4, 2], [14, 1]], 103/483840], [[[1, 5], [2, 10], [4, 3], [6, 2]], 1217/860160], [[[1, 5], [2, 10], [4, 3], [8, 1]], 59/483840], [[[1, 5], [2, 10], [4, 3], [10, 1]], 3541/9676800], [[[1, 5], [2, 10], [4, 4], [6, 1]], 187/860160], [[[1, 5], [2, 10], [6, 1], [10, 2]], 31243/48384000], [[[1, 5], [2, 10], [6, 2], [14, 1]], 43/69120], [[[1, 5], [2, 10], [6, 3], [10, 1]], 32993/24883200], [[[1, 5], [2, 10], [10, 1], [14, 1]], 121/1075200], [[[1, 5], [2, 12], [3, 1], [6, 3]], 361/552960], [[[1, 5], [2, 12], [3, 2], [6, 2]], 5/870912], [[[1, 5], [2, 12], [4, 1], [6, 3]], 91061/34836480], [[[1, 5], [2, 12], [4, 1], [14, 1]], 1171/9676800], [[[1, 5], [2, 12], [4, 2], [6, 2]], 393323/199065600], [[[1, 5], [2, 12], [4, 2], [8, 1]], 5/580608], [[[1, 5], [2, 12], [4, 2], [10, 1]], 135349/387072000], [[[1, 5], [2, 12], [4, 3], [6, 1]], 101071/232243200], [[[1, 5], [2, 12], [5, 1], [10, 1]], 1/1161216], [[[1, 5], [2, 12], [6, 1], [14, 1]], 60829/232243200], [[[1, 5], [2, 12], [6, 2], [10, 1]], 163153/116121600], [[[1, 5], [2, 14], [3, 1], [6, 2]], 3413/22118400], [[[1, 5], [2, 14], [4, 1], [6, 2]], 3085219/2786918400], [[[1, 5], [2, 14], [4, 1], [8, 1]], 1/19353600], [[[1, 5], [2, 14], [4, 1], [10, 1]], 101321/580608000], [[[1, 5], [2, 14], [4, 2], [6, 1]], 280411/696729600], [[[1, 5], [2, 14], [6, 1], [10, 1]], 1396009/3483648000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 137/14745600], [[[1, 5], [2, 16], [4, 1], [6, 1]], 715871/4644864000], [[[1, 5], [3, 3], [5, 2], [7, 1]], 1/37800], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/27000], [[[1, 6], [2, 1], [3, 5], [5, 2]], 1/97200], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/12000], [[[1, 6], [2, 3], [3, 4], [5, 2]], 1/21600], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/54432], [[[1, 6], [2, 3], [4, 2], [5, 3]], 1/38400], [[[1, 6], [2, 5], [3, 1], [5, 3]], 7/192000], [[[1, 6], [2, 5], [3, 2], [4, 5]], 5/73728], [[[1, 6], [2, 5], [3, 3], [4, 4]], 13/110592], [[[1, 6], [2, 5], [3, 3], [5, 2]], 7/230400], [[[1, 6], [2, 5], [3, 3], [6, 4]], 1/2592], [[[1, 6], [2, 5], [3, 4], [4, 3]], 13/165888], [[[1, 6], [2, 5], [3, 4], [6, 3]], 1/2592], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/72576], [[[1, 6], [2, 5], [3, 5], [4, 2]], 5/248832], [[[1, 6], [2, 5], [3, 5], [6, 2]], 1/7776], [[[1, 6], [2, 5], [4, 1], [5, 3]], 13/192000], [[[1, 6], [2, 5], [4, 1], [10, 3]], 1/64000], [[[1, 6], [2, 5], [4, 3], [5, 2]], 19/153600], [[[1, 6], [2, 5], [4, 3], [6, 4]], 1/165888], [[[1, 6], [2, 5], [4, 3], [8, 2]], 1/768], [[[1, 6], [2, 5], [4, 3], [10, 2]], 3/51200], [[[1, 6], [2, 5], [4, 4], [6, 3]], 1/55296], [[[1, 6], [2, 5], [4, 4], [7, 1]], 5/21504], [[[1, 6], [2, 5], [4, 4], [14, 1]], 5/28672], [[[1, 6], [2, 5], [4, 5], [6, 2]], 5/73728], [[[1, 6], [2, 5], [5, 2], [7, 1]], 1/33600], [[[1, 6], [2, 5], [6, 1], [10, 3]], 1/384000], [[[1, 6], [2, 5], [10, 2], [14, 1]], 1/179200], [[[1, 6], [2, 7], [3, 1], [4, 5]], 5/24576], [[[1, 6], [2, 7], [3, 1], [6, 5]], 1/62208], [[[1, 6], [2, 7], [3, 2], [4, 4]], 115/442368], [[[1, 6], [2, 7], [3, 2], [5, 2]], 1/184320], [[[1, 6], [2, 7], [3, 2], [6, 4]], 5/10368], [[[1, 6], [2, 7], [3, 3], [4, 3]], 1/18432], [[[1, 6], [2, 7], [3, 3], [6, 3]], 7/5184], [[[1, 6], [2, 7], [3, 3], [7, 1]], 1/387072], [[[1, 6], [2, 7], [3, 4], [4, 2]], 1/110592], [[[1, 6], [2, 7], [3, 4], [6, 2]], 1/10368], [[[1, 6], [2, 7], [4, 1], [6, 5]], 5/248832], [[[1, 6], [2, 7], [4, 2], [5, 2]], 1/12288], [[[1, 6], [2, 7], [4, 2], [6, 4]], 7/36864], [[[1, 6], [2, 7], [4, 2], [8, 2]], 5/18432], [[[1, 6], [2, 7], [4, 2], [10, 2]], 283/921600], [[[1, 6], [2, 7], [4, 3], [6, 3]], 5/9216], [[[1, 6], [2, 7], [4, 3], [7, 1]], 19/43008], [[[1, 6], [2, 7], [4, 3], [14, 1]], 11/16128], [[[1, 6], [2, 7], [4, 4], [5, 1]], 7/40960], [[[1, 6], [2, 7], [4, 4], [6, 2]], 271/442368], [[[1, 6], [2, 7], [4, 4], [8, 1]], 1/768], [[[1, 6], [2, 7], [4, 4], [10, 1]], 3/8192], [[[1, 6], [2, 7], [4, 5], [6, 1]], 5/18432], [[[1, 6], [2, 7], [5, 1], [10, 2]], 7/57600], [[[1, 6], [2, 7], [5, 2], [10, 1]], 1/19200], [[[1, 6], [2, 7], [6, 2], [10, 2]], 287/2764800], [[[1, 6], [2, 7], [6, 3], [14, 1]], 23/387072], [[[1, 6], [2, 7], [6, 4], [10, 1]], 1/46080], [[[1, 6], [2, 9], [3, 1], [6, 4]], 1907/4976640], [[[1, 6], [2, 9], [3, 2], [6, 3]], 7/12960], [[[1, 6], [2, 9], [4, 1], [6, 4]], 1493/1990656], [[[1, 6], [2, 9], [4, 1], [10, 2]], 3893/9216000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 6797/3317760], [[[1, 6], [2, 9], [4, 2], [14, 1]], 1007/2580480], [[[1, 6], [2, 9], [4, 3], [6, 2]], 463/221184], [[[1, 6], [2, 9], [4, 3], [8, 1]], 91/138240], [[[1, 6], [2, 9], [4, 3], [10, 1]], 49/51200], [[[1, 6], [2, 9], [4, 4], [6, 1]], 419/552960], [[[1, 6], [2, 9], [6, 1], [10, 2]], 2711/6912000], [[[1, 6], [2, 9], [6, 2], [14, 1]], 11/30720], [[[1, 6], [2, 9], [6, 3], [10, 1]], 893/1658880], [[[1, 6], [2, 9], [10, 1], [14, 1]], 157/1612800], [[[1, 6], [2, 11], [3, 1], [6, 3]], 77/103680], [[[1, 6], [2, 11], [3, 2], [6, 2]], 1/22680], [[[1, 6], [2, 11], [4, 1], [6, 3]], 29539/11612160], [[[1, 6], [2, 11], [4, 1], [14, 1]], 5/24192], [[[1, 6], [2, 11], [4, 2], [6, 2]], 3523/1146880], [[[1, 6], [2, 11], [4, 2], [8, 1]], 149/1935360], [[[1, 6], [2, 11], [4, 2], [10, 1]], 58459/77414400], [[[1, 6], [2, 11], [4, 3], [6, 1]], 89/72576], [[[1, 6], [2, 11], [5, 1], [10, 1]], 1/151200], [[[1, 6], [2, 11], [6, 1], [14, 1]], 779/2580480], [[[1, 6], [2, 11], [6, 2], [10, 1]], 1487/1209600], [[[1, 6], [2, 13], [3, 1], [6, 2]], 12281/39813120], [[[1, 6], [2, 13], [4, 1], [6, 2]], 5433643/2786918400], [[[1, 6], [2, 13], [4, 1], [8, 1]], 1/774144], [[[1, 6], [2, 13], [4, 1], [10, 1]], 218641/580608000], [[[1, 6], [2, 13], [4, 2], [6, 1]], 1487/1382400], [[[1, 6], [2, 13], [6, 1], [10, 1]], 468763/774144000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 571/19906560], [[[1, 6], [2, 15], [4, 1], [6, 1]], 59629/139345920], [[[1, 7], [2, 2], [3, 2], [5, 3]], 1/7200], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/6480], [[[1, 7], [2, 2], [3, 5], [7, 1]], 1/18144], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/58320], [[[1, 7], [2, 2], [4, 2], [5, 3]], 1/192000], [[[1, 7], [2, 4], [3, 1], [5, 3]], 29/230400], [[[1, 7], [2, 4], [3, 3], [4, 4]], 11/110592], [[[1, 7], [2, 4], [3, 3], [5, 2]], 103/414720], [[[1, 7], [2, 4], [3, 4], [4, 3]], 31/165888], [[[1, 7], [2, 4], [3, 4], [7, 1]], 1/8064], [[[1, 7], [2, 4], [3, 5], [4, 2]], 31/248832], [[[1, 7], [2, 4], [3, 5], [5, 1]], 1/25920], [[[1, 7], [2, 4], [3, 5], [6, 2]], 1/7776], [[[1, 7], [2, 4], [3, 6], [4, 1]], 1/46656], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/46656], [[[1, 7], [2, 4], [4, 1], [5, 3]], 1/9600], [[[1, 7], [2, 4], [4, 3], [5, 2]], 37/460800], [[[1, 7], [2, 4], [4, 3], [8, 2]], 7/18432], [[[1, 7], [2, 4], [4, 4], [7, 1]], 5/86016], [[[1, 7], [2, 4], [5, 2], [7, 1]], 31/537600], [[[1, 7], [2, 6], [3, 1], [4, 5]], 5/18432], [[[1, 7], [2, 6], [3, 2], [4, 4]], 271/442368], [[[1, 7], [2, 6], [3, 2], [5, 2]], 287/2764800], [[[1, 7], [2, 6], [3, 2], [6, 4]], 1/10368], [[[1, 7], [2, 6], [3, 3], [4, 3]], 5/9216], [[[1, 7], [2, 6], [3, 3], [6, 3]], 7/5184], [[[1, 7], [2, 6], [3, 3], [7, 1]], 23/387072], [[[1, 7], [2, 6], [3, 4], [4, 2]], 7/36864], [[[1, 7], [2, 6], [3, 4], [5, 1]], 1/46080], [[[1, 7], [2, 6], [3, 4], [6, 2]], 5/10368], [[[1, 7], [2, 6], [3, 5], [4, 1]], 5/248832], [[[1, 7], [2, 6], [3, 5], [6, 1]], 1/62208], [[[1, 7], [2, 6], [4, 2], [5, 2]], 283/921600], [[[1, 7], [2, 6], [4, 2], [6, 4]], 1/110592], [[[1, 7], [2, 6], [4, 2], [8, 2]], 5/18432], [[[1, 7], [2, 6], [4, 2], [10, 2]], 1/12288], [[[1, 7], [2, 6], [4, 3], [6, 3]], 1/18432], [[[1, 7], [2, 6], [4, 3], [7, 1]], 11/16128], [[[1, 7], [2, 6], [4, 3], [14, 1]], 19/43008], [[[1, 7], [2, 6], [4, 4], [5, 1]], 3/8192], [[[1, 7], [2, 6], [4, 4], [6, 2]], 115/442368], [[[1, 7], [2, 6], [4, 4], [8, 1]], 1/768], [[[1, 7], [2, 6], [4, 4], [10, 1]], 7/40960], [[[1, 7], [2, 6], [4, 5], [6, 1]], 5/24576], [[[1, 7], [2, 6], [5, 1], [10, 2]], 1/19200], [[[1, 7], [2, 6], [5, 2], [10, 1]], 7/57600], [[[1, 7], [2, 6], [6, 2], [10, 2]], 1/184320], [[[1, 7], [2, 6], [6, 3], [14, 1]], 1/387072], [[[1, 7], [2, 8], [3, 1], [4, 4]], 23/36864], [[[1, 7], [2, 8], [3, 1], [5, 2]], 11/921600], [[[1, 7], [2, 8], [3, 1], [6, 4]], 457/4976640], [[[1, 7], [2, 8], [3, 2], [4, 3]], 77/245760], [[[1, 7], [2, 8], [3, 2], [6, 3]], 67/103680], [[[1, 7], [2, 8], [3, 2], [7, 1]], 1/129024], [[[1, 7], [2, 8], [3, 3], [4, 2]], 17/331776], [[[1, 7], [2, 8], [3, 3], [5, 1]], 1/276480], [[[1, 7], [2, 8], [3, 3], [6, 2]], 1/3840], [[[1, 7], [2, 8], [3, 4], [4, 1]], 1/221184], [[[1, 7], [2, 8], [3, 4], [6, 1]], 1/331776], [[[1, 7], [2, 8], [4, 1], [5, 2]], 23/614400], [[[1, 7], [2, 8], [4, 1], [6, 4]], 245/1990656], [[[1, 7], [2, 8], [4, 1], [10, 2]], 371/1843200], [[[1, 7], [2, 8], [4, 2], [6, 3]], 2183/3317760], [[[1, 7], [2, 8], [4, 2], [7, 1]], 253/860160], [[[1, 7], [2, 8], [4, 2], [14, 1]], 49/92160], [[[1, 7], [2, 8], [4, 3], [5, 1]], 1/2560], [[[1, 7], [2, 8], [4, 3], [6, 2]], 3013/2211840], [[[1, 7], [2, 8], [4, 3], [8, 1]], 37/18432], [[[1, 7], [2, 8], [4, 3], [10, 1]], 1/960], [[[1, 7], [2, 8], [4, 4], [6, 1]], 263/221184], [[[1, 7], [2, 8], [5, 1], [7, 1]], 1/143360], [[[1, 7], [2, 8], [6, 1], [10, 2]], 53/460800], [[[1, 7], [2, 8], [6, 2], [14, 1]], 1/10752], [[[1, 7], [2, 8], [6, 3], [10, 1]], 149/1658880], [[[1, 7], [2, 8], [10, 1], [14, 1]], 3/71680], [[[1, 7], [2, 10], [3, 1], [6, 3]], 833/1658880], [[[1, 7], [2, 10], [3, 2], [6, 2]], 7/41472], [[[1, 7], [2, 10], [4, 1], [6, 3]], 6389/4976640], [[[1, 7], [2, 10], [4, 1], [14, 1]], 817/3870720], [[[1, 7], [2, 10], [4, 2], [6, 2]], 11383/4423680], [[[1, 7], [2, 10], [4, 2], [8, 1]], 77/276480], [[[1, 7], [2, 10], [4, 2], [10, 1]], 457/442368], [[[1, 7], [2, 10], [4, 3], [6, 1]], 4129/2211840], [[[1, 7], [2, 10], [5, 1], [10, 1]], 7/345600], [[[1, 7], [2, 10], [6, 1], [14, 1]], 499/2580480], [[[1, 7], [2, 10], [6, 2], [10, 1]], 65/110592], [[[1, 7], [2, 12], [3, 1], [6, 2]], 12677/33177600], [[[1, 7], [2, 12], [4, 1], [6, 2]], 185197/92897280], [[[1, 7], [2, 12], [4, 1], [8, 1]], 1/100800], [[[1, 7], [2, 12], [4, 1], [10, 1]], 6467/12902400], [[[1, 7], [2, 12], [4, 2], [6, 1]], 18559/11059200], [[[1, 7], [2, 12], [6, 1], [10, 1]], 21671/38707200], [[[1, 7], [2, 14], [3, 1], [6, 1]], 22417/398131200], [[[1, 7], [2, 14], [4, 1], [6, 1]], 295301/398131200], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/50400], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/22680], [[[1, 8], [2, 1], [3, 2], [5, 3]], 1/12000], [[[1, 8], [2, 1], [3, 4], [5, 2]], 29/194400], [[[1, 8], [2, 1], [3, 5], [7, 1]], 1/18144], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/29160], [[[1, 8], [2, 3], [3, 1], [5, 3]], 17/96000], [[[1, 8], [2, 3], [3, 3], [5, 2]], 601/1036800], [[[1, 8], [2, 3], [3, 4], [4, 3]], 19/165888], [[[1, 8], [2, 3], [3, 4], [7, 1]], 1/3402], [[[1, 8], [2, 3], [3, 5], [4, 2]], 17/82944], [[[1, 8], [2, 3], [3, 5], [5, 1]], 1/5184], [[[1, 8], [2, 3], [3, 6], [4, 1]], 1/11664], [[[1, 8], [2, 3], [3, 6], [6, 1]], 1/15552], [[[1, 8], [2, 3], [4, 1], [5, 3]], 1/14400], [[[1, 8], [2, 3], [4, 3], [5, 2]], 7/460800], [[[1, 8], [2, 3], [4, 3], [8, 2]], 1/18432], [[[1, 8], [2, 3], [5, 2], [7, 1]], 1/20160], [[[1, 8], [2, 5], [3, 1], [4, 5]], 5/73728], [[[1, 8], [2, 5], [3, 2], [4, 4]], 329/737280], [[[1, 8], [2, 5], [3, 2], [5, 2]], 1333/2764800], [[[1, 8], [2, 5], [3, 3], [4, 3]], 143/138240], [[[1, 8], [2, 5], [3, 3], [6, 3]], 1/5184], [[[1, 8], [2, 5], [3, 3], [7, 1]], 359/1161216], [[[1, 8], [2, 5], [3, 4], [4, 2]], 25/31104], [[[1, 8], [2, 5], [3, 4], [5, 1]], 29/124416], [[[1, 8], [2, 5], [3, 4], [6, 2]], 5/10368], [[[1, 8], [2, 5], [3, 5], [4, 1]], 53/248832], [[[1, 8], [2, 5], [3, 5], [6, 1]], 1/6912], [[[1, 8], [2, 5], [4, 2], [5, 2]], 481/1152000], [[[1, 8], [2, 5], [4, 2], [8, 2]], 7/46080], [[[1, 8], [2, 5], [4, 3], [7, 1]], 23/80640], [[[1, 8], [2, 5], [4, 4], [5, 1]], 89/368640], [[[1, 8], [2, 5], [4, 4], [8, 1]], 7/18432], [[[1, 8], [2, 5], [5, 2], [10, 1]], 1/11520], [[[1, 8], [2, 7], [3, 1], [4, 4]], 263/221184], [[[1, 8], [2, 7], [3, 1], [5, 2]], 53/460800], [[[1, 8], [2, 7], [3, 1], [6, 4]], 1/331776], [[[1, 8], [2, 7], [3, 2], [4, 3]], 3013/2211840], [[[1, 8], [2, 7], [3, 2], [6, 3]], 1/3840], [[[1, 8], [2, 7], [3, 2], [7, 1]], 1/10752], [[[1, 8], [2, 7], [3, 3], [4, 2]], 2183/3317760], [[[1, 8], [2, 7], [3, 3], [5, 1]], 149/1658880], [[[1, 8], [2, 7], [3, 3], [6, 2]], 67/103680], [[[1, 8], [2, 7], [3, 4], [4, 1]], 245/1990656], [[[1, 8], [2, 7], [3, 4], [6, 1]], 457/4976640], [[[1, 8], [2, 7], [4, 1], [5, 2]], 371/1843200], [[[1, 8], [2, 7], [4, 1], [6, 4]], 1/221184], [[[1, 8], [2, 7], [4, 1], [10, 2]], 23/614400], [[[1, 8], [2, 7], [4, 2], [6, 3]], 17/331776], [[[1, 8], [2, 7], [4, 2], [7, 1]], 49/92160], [[[1, 8], [2, 7], [4, 2], [14, 1]], 253/860160], [[[1, 8], [2, 7], [4, 3], [5, 1]], 1/960], [[[1, 8], [2, 7], [4, 3], [6, 2]], 77/245760], [[[1, 8], [2, 7], [4, 3], [8, 1]], 37/18432], [[[1, 8], [2, 7], [4, 3], [10, 1]], 1/2560], [[[1, 8], [2, 7], [4, 4], [6, 1]], 23/36864], [[[1, 8], [2, 7], [5, 1], [7, 1]], 3/71680], [[[1, 8], [2, 7], [6, 1], [10, 2]], 11/921600], [[[1, 8], [2, 7], [6, 2], [14, 1]], 1/129024], [[[1, 8], [2, 7], [6, 3], [10, 1]], 1/276480], [[[1, 8], [2, 7], [10, 1], [14, 1]], 1/143360], [[[1, 8], [2, 9], [3, 1], [4, 3]], 1289/2211840], [[[1, 8], [2, 9], [3, 1], [6, 3]], 1/5184], [[[1, 8], [2, 9], [3, 1], [7, 1]], 289/30965760], [[[1, 8], [2, 9], [3, 2], [4, 2]], 443/2654208], [[[1, 8], [2, 9], [3, 2], [5, 1]], 23/2211840], [[[1, 8], [2, 9], [3, 2], [6, 2]], 11/23040], [[[1, 8], [2, 9], [3, 3], [4, 1]], 13/663552], [[[1, 8], [2, 9], [3, 3], [6, 1]], 43/1658880], [[[1, 8], [2, 9], [4, 1], [6, 3]], 737/2488320], [[[1, 8], [2, 9], [4, 1], [7, 1]], 173/2580480], [[[1, 8], [2, 9], [4, 1], [14, 1]], 11/69120], [[[1, 8], [2, 9], [4, 2], [5, 1]], 313/1228800], [[[1, 8], [2, 9], [4, 2], [6, 2]], 14431/13271040], [[[1, 8], [2, 9], [4, 2], [8, 1]], 43/69120], [[[1, 8], [2, 9], [4, 2], [10, 1]], 2951/3686400], [[[1, 8], [2, 9], [4, 3], [6, 1]], 439/276480], [[[1, 8], [2, 9], [5, 1], [10, 1]], 1/27648], [[[1, 8], [2, 9], [6, 1], [14, 1]], 1969/30965760], [[[1, 8], [2, 9], [6, 2], [10, 1]], 11/81920], [[[1, 8], [2, 11], [3, 1], [6, 2]], 10621/33177600], [[[1, 8], [2, 11], [4, 1], [6, 2]], 3083/2654208], [[[1, 8], [2, 11], [4, 1], [8, 1]], 7/230400], [[[1, 8], [2, 11], [4, 1], [10, 1]], 2371/5529600], [[[1, 8], [2, 11], [4, 2], [6, 1]], 13159/8294400], [[[1, 8], [2, 11], [6, 1], [10, 1]], 13393/44236800], [[[1, 8], [2, 13], [3, 1], [6, 1]], 203/2764800], [[[1, 8], [2, 13], [4, 1], [6, 1]], 13267/16588800], [[[1, 9], [2, 2], [3, 1], [5, 3]], 43/384000], [[[1, 9], [2, 2], [3, 3], [5, 2]], 2857/5184000], [[[1, 9], [2, 2], [3, 4], [7, 1]], 13/45360], [[[1, 9], [2, 2], [3, 5], [4, 2]], 25/248832], [[[1, 9], [2, 2], [3, 5], [5, 1]], 23/77760], [[[1, 9], [2, 2], [3, 6], [4, 1]], 5/46656], [[[1, 9], [2, 2], [3, 6], [6, 1]], 1/15552], [[[1, 9], [2, 2], [4, 1], [5, 3]], 11/576000], [[[1, 9], [2, 2], [5, 2], [7, 1]], 31/1612800], [[[1, 9], [2, 4], [3, 2], [4, 4]], 23/245760], [[[1, 9], [2, 4], [3, 2], [5, 2]], 12689/13824000], [[[1, 9], [2, 4], [3, 3], [4, 3]], 139/207360], [[[1, 9], [2, 4], [3, 3], [7, 1]], 397/645120], [[[1, 9], [2, 4], [3, 4], [4, 2]], 149/124416], [[[1, 9], [2, 4], [3, 4], [5, 1]], 913/1244160], [[[1, 9], [2, 4], [3, 4], [6, 2]], 1/10368], [[[1, 9], [2, 4], [3, 5], [4, 1]], 19/31104], [[[1, 9], [2, 4], [3, 5], [6, 1]], 1/2916], [[[1, 9], [2, 4], [4, 2], [5, 2]], 1009/4032000], [[[1, 9], [2, 4], [4, 2], [8, 2]], 1/20160], [[[1, 9], [2, 4], [4, 3], [7, 1]], 1/20160], [[[1, 9], [2, 4], [4, 4], [5, 1]], 17/368640], [[[1, 9], [2, 4], [4, 4], [8, 1]], 1/18432], [[[1, 9], [2, 4], [5, 2], [10, 1]], 1/57600], [[[1, 9], [2, 6], [3, 1], [4, 4]], 419/552960], [[[1, 9], [2, 6], [3, 1], [5, 2]], 2711/6912000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 463/221184], [[[1, 9], [2, 6], [3, 2], [7, 1]], 11/30720], [[[1, 9], [2, 6], [3, 3], [4, 2]], 6797/3317760], [[[1, 9], [2, 6], [3, 3], [5, 1]], 893/1658880], [[[1, 9], [2, 6], [3, 3], [6, 2]], 7/12960], [[[1, 9], [2, 6], [3, 4], [4, 1]], 1493/1990656], [[[1, 9], [2, 6], [3, 4], [6, 1]], 1907/4976640], [[[1, 9], [2, 6], [4, 1], [5, 2]], 3893/9216000], [[[1, 9], [2, 6], [4, 2], [7, 1]], 1007/2580480], [[[1, 9], [2, 6], [4, 3], [5, 1]], 49/51200], [[[1, 9], [2, 6], [4, 3], [8, 1]], 91/138240], [[[1, 9], [2, 6], [5, 1], [7, 1]], 157/1612800], [[[1, 9], [2, 8], [3, 1], [4, 3]], 439/276480], [[[1, 9], [2, 8], [3, 1], [6, 3]], 43/1658880], [[[1, 9], [2, 8], [3, 1], [7, 1]], 1969/30965760], [[[1, 9], [2, 8], [3, 2], [4, 2]], 14431/13271040], [[[1, 9], [2, 8], [3, 2], [5, 1]], 11/81920], [[[1, 9], [2, 8], [3, 2], [6, 2]], 11/23040], [[[1, 9], [2, 8], [3, 3], [4, 1]], 737/2488320], [[[1, 9], [2, 8], [3, 3], [6, 1]], 1/5184], [[[1, 9], [2, 8], [4, 1], [6, 3]], 13/663552], [[[1, 9], [2, 8], [4, 1], [7, 1]], 11/69120], [[[1, 9], [2, 8], [4, 1], [14, 1]], 173/2580480], [[[1, 9], [2, 8], [4, 2], [5, 1]], 2951/3686400], [[[1, 9], [2, 8], [4, 2], [6, 2]], 443/2654208], [[[1, 9], [2, 8], [4, 2], [8, 1]], 43/69120], [[[1, 9], [2, 8], [4, 2], [10, 1]], 313/1228800], [[[1, 9], [2, 8], [4, 3], [6, 1]], 1289/2211840], [[[1, 9], [2, 8], [5, 1], [10, 1]], 1/27648], [[[1, 9], [2, 8], [6, 1], [14, 1]], 289/30965760], [[[1, 9], [2, 8], [6, 2], [10, 1]], 23/2211840], [[[1, 9], [2, 10], [3, 1], [4, 2]], 43/184320], [[[1, 9], [2, 10], [3, 1], [5, 1]], 469/44236800], [[[1, 9], [2, 10], [3, 1], [6, 2]], 4657/26542080], [[[1, 9], [2, 10], [3, 2], [4, 1]], 727/17694720], [[[1, 9], [2, 10], [3, 2], [6, 1]], 79/1769472], [[[1, 9], [2, 10], [4, 1], [5, 1]], 109/1843200], [[[1, 9], [2, 10], [4, 1], [6, 2]], 18869/53084160], [[[1, 9], [2, 10], [4, 1], [8, 1]], 1/18432], [[[1, 9], [2, 10], [4, 1], [10, 1]], 1273/5529600], [[[1, 9], [2, 10], [4, 2], [6, 1]], 5909/6635520], [[[1, 9], [2, 10], [6, 1], [10, 1]], 643/7372800], [[[1, 9], [2, 12], [3, 1], [6, 1]], 18757/265420800], [[[1, 9], [2, 12], [4, 1], [6, 1]], 142561/265420800], [[[1, 9], [3, 1], [5, 2], [7, 1]], 1/268800], [[[1, 9], [3, 3], [5, 1], [7, 1]], 1/28350], [[[1, 10], [2, 1], [3, 1], [5, 3]], 17/576000], [[[1, 10], [2, 1], [3, 3], [5, 2]], 47363/217728000], [[[1, 10], [2, 1], [3, 4], [7, 1]], 43/362880], [[[1, 10], [2, 1], [3, 5], [5, 1]], 67/388800], [[[1, 10], [2, 1], [3, 6], [4, 1]], 1/23328], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/46656], [[[1, 10], [2, 1], [4, 1], [5, 3]], 1/576000], [[[1, 10], [2, 1], [5, 2], [7, 1]], 1/302400], [[[1, 10], [2, 3], [3, 2], [5, 2]], 81583/96768000], [[[1, 10], [2, 3], [3, 3], [4, 3]], 103/829440], [[[1, 10], [2, 3], [3, 3], [7, 1]], 10043/17418240], [[[1, 10], [2, 3], [3, 4], [4, 2]], 379/552960], [[[1, 10], [2, 3], [3, 4], [5, 1]], 1531/1555200], [[[1, 10], [2, 3], [3, 5], [4, 1]], 73/103680], [[[1, 10], [2, 3], [3, 5], [6, 1]], 13/38880], [[[1, 10], [2, 3], [4, 2], [5, 2]], 1237/19353600], [[[1, 10], [2, 3], [4, 2], [8, 2]], 5/774144], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1/215040], [[[1, 10], [2, 5], [3, 1], [4, 4]], 187/860160], [[[1, 10], [2, 5], [3, 1], [5, 2]], 31243/48384000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 1217/860160], [[[1, 10], [2, 5], [3, 2], [7, 1]], 43/69120], [[[1, 10], [2, 5], [3, 3], [4, 2]], 95491/34836480], [[[1, 10], [2, 5], [3, 3], [5, 1]], 32993/24883200], [[[1, 10], [2, 5], [3, 3], [6, 2]], 31/181440], [[[1, 10], [2, 5], [3, 4], [4, 1]], 5791/3317760], [[[1, 10], [2, 5], [3, 4], [6, 1]], 397/552960], [[[1, 10], [2, 5], [4, 1], [5, 2]], 85903/193536000], [[[1, 10], [2, 5], [4, 2], [7, 1]], 103/483840], [[[1, 10], [2, 5], [4, 3], [5, 1]], 3541/9676800], [[[1, 10], [2, 5], [4, 3], [8, 1]], 59/483840], [[[1, 10], [2, 5], [5, 1], [7, 1]], 121/1075200], [[[1, 10], [2, 7], [3, 1], [4, 3]], 4129/2211840], [[[1, 10], [2, 7], [3, 1], [7, 1]], 499/2580480], [[[1, 10], [2, 7], [3, 2], [4, 2]], 11383/4423680], [[[1, 10], [2, 7], [3, 2], [5, 1]], 65/110592], [[[1, 10], [2, 7], [3, 2], [6, 2]], 7/41472], [[[1, 10], [2, 7], [3, 3], [4, 1]], 6389/4976640], [[[1, 10], [2, 7], [3, 3], [6, 1]], 833/1658880], [[[1, 10], [2, 7], [4, 1], [7, 1]], 817/3870720], [[[1, 10], [2, 7], [4, 2], [5, 1]], 457/442368], [[[1, 10], [2, 7], [4, 2], [8, 1]], 77/276480], [[[1, 10], [2, 7], [5, 1], [10, 1]], 7/345600], [[[1, 10], [2, 9], [3, 1], [4, 2]], 5909/6635520], [[[1, 10], [2, 9], [3, 1], [5, 1]], 643/7372800], [[[1, 10], [2, 9], [3, 1], [6, 2]], 79/1769472], [[[1, 10], [2, 9], [3, 2], [4, 1]], 18869/53084160], [[[1, 10], [2, 9], [3, 2], [6, 1]], 4657/26542080], [[[1, 10], [2, 9], [4, 1], [5, 1]], 1273/5529600], [[[1, 10], [2, 9], [4, 1], [6, 2]], 727/17694720], [[[1, 10], [2, 9], [4, 1], [8, 1]], 1/18432], [[[1, 10], [2, 9], [4, 1], [10, 1]], 109/1843200], [[[1, 10], [2, 9], [4, 2], [6, 1]], 43/184320], [[[1, 10], [2, 9], [6, 1], [10, 1]], 469/44236800], [[[1, 10], [2, 11], [3, 1], [4, 1]], 2251/53084160], [[[1, 10], [2, 11], [3, 1], [6, 1]], 1241/17694720], [[[1, 10], [2, 11], [4, 1], [6, 1]], 2887/13271040], [[[1, 11], [2, 2], [3, 2], [5, 2]], 7411/19353600], [[[1, 11], [2, 2], [3, 3], [7, 1]], 307/1161216], [[[1, 11], [2, 2], [3, 4], [4, 2]], 551/4976640], [[[1, 11], [2, 2], [3, 4], [5, 1]], 599/967680], [[[1, 11], [2, 2], [3, 5], [4, 1]], 83/248832], [[[1, 11], [2, 2], [3, 5], [6, 1]], 43/311040], [[[1, 11], [2, 2], [4, 2], [5, 2]], 533/96768000], [[[1, 11], [2, 2], [4, 2], [8, 2]], 1/3870720], [[[1, 11], [2, 4], [3, 1], [4, 4]], 1/40320], [[[1, 11], [2, 4], [3, 1], [5, 2]], 1381/2419200], [[[1, 11], [2, 4], [3, 2], [4, 3]], 31987/77414400], [[[1, 11], [2, 4], [3, 2], [7, 1]], 361/645120], [[[1, 11], [2, 4], [3, 3], [4, 2]], 29779/17418240], [[[1, 11], [2, 4], [3, 3], [5, 1]], 56591/34836480], [[[1, 11], [2, 4], [3, 3], [6, 2]], 1/60480], [[[1, 11], [2, 4], [3, 4], [4, 1]], 14629/7741440], [[[1, 11], [2, 4], [3, 4], [6, 1]], 10043/14929920], [[[1, 11], [2, 4], [4, 1], [5, 2]], 641/2580480], [[[1, 11], [2, 4], [4, 2], [7, 1]], 2719/38707200], [[[1, 11], [2, 4], [4, 3], [5, 1]], 631/9676800], [[[1, 11], [2, 4], [4, 3], [8, 1]], 5/774144], [[[1, 11], [2, 4], [5, 1], [7, 1]], 97/1382400], [[[1, 11], [2, 6], [3, 1], [4, 3]], 89/72576], [[[1, 11], [2, 6], [3, 1], [7, 1]], 779/2580480], [[[1, 11], [2, 6], [3, 2], [4, 2]], 3523/1146880], [[[1, 11], [2, 6], [3, 2], [5, 1]], 1487/1209600], [[[1, 11], [2, 6], [3, 2], [6, 2]], 1/22680], [[[1, 11], [2, 6], [3, 3], [4, 1]], 29539/11612160], [[[1, 11], [2, 6], [3, 3], [6, 1]], 77/103680], [[[1, 11], [2, 6], [4, 1], [7, 1]], 5/24192], [[[1, 11], [2, 6], [4, 2], [5, 1]], 58459/77414400], [[[1, 11], [2, 6], [4, 2], [8, 1]], 149/1935360], [[[1, 11], [2, 6], [5, 1], [10, 1]], 1/151200], [[[1, 11], [2, 8], [3, 1], [4, 2]], 13159/8294400], [[[1, 11], [2, 8], [3, 1], [5, 1]], 13393/44236800], [[[1, 11], [2, 8], [3, 2], [4, 1]], 3083/2654208], [[[1, 11], [2, 8], [3, 2], [6, 1]], 10621/33177600], [[[1, 11], [2, 8], [4, 1], [5, 1]], 2371/5529600], [[[1, 11], [2, 8], [4, 1], [8, 1]], 7/230400], [[[1, 11], [2, 10], [3, 1], [4, 1]], 2887/13271040], [[[1, 11], [2, 10], [3, 1], [6, 1]], 1241/17694720], [[[1, 11], [2, 10], [4, 1], [6, 1]], 2251/53084160], [[[1, 11], [3, 2], [5, 1], [7, 1]], 19/2419200], [[[1, 12], [2, 1], [3, 2], [5, 2]], 69637/870912000], [[[1, 12], [2, 1], [3, 3], [7, 1]], 59/1075200], [[[1, 12], [2, 1], [3, 4], [5, 1]], 3799/21772800], [[[1, 12], [2, 1], [3, 5], [4, 1]], 59/1244160], [[[1, 12], [2, 1], [3, 5], [6, 1]], 17/933120], [[[1, 12], [2, 3], [3, 1], [5, 2]], 13471/48384000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 3307/77414400], [[[1, 12], [2, 3], [3, 2], [7, 1]], 5927/21772800], [[[1, 12], [2, 3], [3, 3], [4, 2]], 10489/23224320], [[[1, 12], [2, 3], [3, 3], [5, 1]], 26297/24883200], [[[1, 12], [2, 3], [3, 4], [4, 1]], 68569/69672960], [[[1, 12], [2, 3], [3, 4], [6, 1]], 307/995328], [[[1, 12], [2, 3], [4, 1], [5, 2]], 113/1548288], [[[1, 12], [2, 3], [4, 2], [7, 1]], 103/9676800], [[[1, 12], [2, 3], [4, 3], [5, 1]], 17/3225600], [[[1, 12], [2, 3], [4, 3], [8, 1]], 1/3870720], [[[1, 12], [2, 3], [5, 1], [7, 1]], 47/1935360], [[[1, 12], [2, 5], [3, 1], [4, 3]], 101071/232243200], [[[1, 12], [2, 5], [3, 1], [7, 1]], 60829/232243200], [[[1, 12], [2, 5], [3, 2], [4, 2]], 393323/199065600], [[[1, 12], [2, 5], [3, 2], [5, 1]], 163153/116121600], [[[1, 12], [2, 5], [3, 2], [6, 2]], 5/870912], [[[1, 12], [2, 5], [3, 3], [4, 1]], 91061/34836480], [[[1, 12], [2, 5], [3, 3], [6, 1]], 361/552960], [[[1, 12], [2, 5], [4, 1], [7, 1]], 1171/9676800], [[[1, 12], [2, 5], [4, 2], [5, 1]], 135349/387072000], [[[1, 12], [2, 5], [4, 2], [8, 1]], 5/580608], [[[1, 12], [2, 5], [5, 1], [10, 1]], 1/1161216], [[[1, 12], [2, 7], [3, 1], [4, 2]], 18559/11059200], [[[1, 12], [2, 7], [3, 1], [5, 1]], 21671/38707200], [[[1, 12], [2, 7], [3, 2], [4, 1]], 185197/92897280], [[[1, 12], [2, 7], [3, 2], [6, 1]], 12677/33177600], [[[1, 12], [2, 7], [4, 1], [5, 1]], 6467/12902400], [[[1, 12], [2, 7], [4, 1], [8, 1]], 1/100800], [[[1, 12], [2, 9], [3, 1], [4, 1]], 142561/265420800], [[[1, 12], [2, 9], [3, 1], [6, 1]], 18757/265420800], [[[1, 13], [2, 2], [3, 1], [5, 2]], 1519/20736000], [[[1, 13], [2, 2], [3, 2], [7, 1]], 409/5806080], [[[1, 13], [2, 2], [3, 3], [4, 2]], 2869/69672960], [[[1, 13], [2, 2], [3, 3], [5, 1]], 135631/373248000], [[[1, 13], [2, 2], [3, 4], [4, 1]], 11291/49766400], [[[1, 13], [2, 2], [3, 4], [6, 1]], 59/921600], [[[1, 13], [2, 2], [4, 1], [5, 2]], 6061/580608000], [[[1, 13], [2, 2], [4, 2], [7, 1]], 23/38707200], [[[1, 13], [2, 2], [5, 1], [7, 1]], 67/14515200], [[[1, 13], [2, 4], [3, 1], [4, 3]], 439/5806080], [[[1, 13], [2, 4], [3, 1], [7, 1]], 3413/25804800], [[[1, 13], [2, 4], [3, 2], [4, 2]], 182369/278691840], [[[1, 13], [2, 4], [3, 2], [5, 1]], 537857/580608000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 1/4354560], [[[1, 13], [2, 4], [3, 3], [4, 1]], 187813/130636800], [[[1, 13], [2, 4], [3, 3], [6, 1]], 5927/18662400], [[[1, 13], [2, 4], [4, 1], [7, 1]], 29/725760], [[[1, 13], [2, 4], [4, 2], [5, 1]], 108683/1161216000], [[[1, 13], [2, 4], [4, 2], [8, 1]], 1/2903040], [[[1, 13], [2, 4], [5, 1], [10, 1]], 1/29030400], [[[1, 13], [2, 6], [3, 1], [4, 2]], 1487/1382400], [[[1, 13], [2, 6], [3, 1], [5, 1]], 468763/774144000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 5433643/2786918400], [[[1, 13], [2, 6], [3, 2], [6, 1]], 12281/39813120], [[[1, 13], [2, 6], [4, 1], [5, 1]], 218641/580608000], [[[1, 13], [2, 6], [4, 1], [8, 1]], 1/774144], [[[1, 13], [2, 8], [3, 1], [4, 1]], 13267/16588800], [[[1, 13], [2, 8], [3, 1], [6, 1]], 203/2764800], [[[1, 13], [3, 1], [5, 1], [7, 1]], 19/29030400], [[[1, 14], [2, 1], [3, 1], [5, 2]], 4169/435456000], [[[1, 14], [2, 1], [3, 2], [7, 1]], 13/1451520], [[[1, 14], [2, 1], [3, 3], [5, 1]], 159659/2612736000], [[[1, 14], [2, 1], [3, 4], [4, 1]], 713/38707200], [[[1, 14], [2, 1], [3, 4], [6, 1]], 349/74649600], [[[1, 14], [2, 1], [4, 1], [5, 2]], 331/580608000], [[[1, 14], [2, 1], [5, 1], [7, 1]], 13/29030400], [[[1, 14], [2, 3], [3, 1], [4, 3]], 1159/232243200], [[[1, 14], [2, 3], [3, 1], [7, 1]], 13637/348364800], [[[1, 14], [2, 3], [3, 2], [4, 2]], 9649/92897280], [[[1, 14], [2, 3], [3, 2], [5, 1]], 103301/290304000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 31063/74649600], [[[1, 14], [2, 3], [3, 3], [6, 1]], 409/4976640], [[[1, 14], [2, 3], [4, 1], [7, 1]], 17/2322432], [[[1, 14], [2, 3], [4, 2], [5, 1]], 961/77414400], [[[1, 14], [2, 5], [3, 1], [4, 2]], 280411/696729600], [[[1, 14], [2, 5], [3, 1], [5, 1]], 1396009/3483648000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 3085219/2786918400], [[[1, 14], [2, 5], [3, 2], [6, 1]], 3413/22118400], [[[1, 14], [2, 5], [4, 1], [5, 1]], 101321/580608000], [[[1, 14], [2, 5], [4, 1], [8, 1]], 1/19353600], [[[1, 14], [2, 7], [3, 1], [4, 1]], 295301/398131200], [[[1, 14], [2, 7], [3, 1], [6, 1]], 22417/398131200], [[[1, 15], [2, 2], [3, 1], [7, 1]], 767/116121600], [[[1, 15], [2, 2], [3, 2], [4, 2]], 8671/1393459200], [[[1, 15], [2, 2], [3, 2], [5, 1]], 6733/87091200], [[[1, 15], [2, 2], [3, 3], [4, 1]], 30839/522547200], [[[1, 15], [2, 2], [3, 3], [6, 1]], 13/1244160], [[[1, 15], [2, 2], [4, 1], [7, 1]], 1/1451520], [[[1, 15], [2, 2], [4, 2], [5, 1]], 739/1161216000], [[[1, 15], [2, 4], [3, 1], [4, 2]], 73513/870912000], [[[1, 15], [2, 4], [3, 1], [5, 1]], 229967/1393459200], [[[1, 15], [2, 4], [3, 2], [4, 1]], 510011/1393459200], [[[1, 15], [2, 4], [3, 2], [6, 1]], 13637/298598400], [[[1, 15], [2, 4], [4, 1], [5, 1]], 5657/116121600], [[[1, 15], [2, 6], [3, 1], [4, 1]], 59629/139345920], [[[1, 15], [2, 6], [3, 1], [6, 1]], 571/19906560], [[[1, 16], [2, 1], [3, 1], [7, 1]], 271/464486400], [[[1, 16], [2, 1], [3, 2], [5, 1]], 30217/3483648000], [[[1, 16], [2, 1], [3, 3], [4, 1]], 671/209018880], [[[1, 16], [2, 1], [3, 3], [6, 1]], 19/37324800], [[[1, 16], [2, 1], [4, 1], [7, 1]], 1/38707200], [[[1, 16], [2, 3], [3, 1], [4, 2]], 1177/129024000], [[[1, 16], [2, 3], [3, 1], [5, 1]], 73019/1741824000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 159713/2322432000], [[[1, 16], [2, 3], [3, 2], [6, 1]], 767/99532800], [[[1, 16], [2, 3], [4, 1], [5, 1]], 2759/348364800], [[[1, 16], [2, 5], [3, 1], [4, 1]], 715871/4644864000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 137/14745600], [[[1, 17], [2, 2], [3, 1], [4, 2]], 49/124416000], [[[1, 17], [2, 2], [3, 1], [5, 1]], 29329/4644864000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 26911/3981312000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 271/398131200], [[[1, 17], [2, 2], [4, 1], [5, 1]], 149/217728000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 19981/580608000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 7/3732480], [[[1, 18], [2, 1], [3, 1], [5, 1]], 3571/6967296000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 7481/27869184000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 29/1194393600], [[[1, 18], [2, 1], [4, 1], [5, 1]], 1/41472000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 128243/27869184000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 181/796262400], [[[1, 19], [2, 2], [3, 1], [4, 1]], 2339/6967296000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 1/66355200], [[[1, 20], [2, 1], [3, 1], [4, 1]], 19/1857945600], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/2388787200], [[[2, 5], [6, 3], [10, 2], [14, 1]], 1/37800], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/50400], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/22680], [[[2, 9], [6, 1], [10, 2], [14, 1]], 1/268800], [[[2, 9], [6, 3], [10, 1], [14, 1]], 1/28350], [[[2, 11], [6, 2], [10, 1], [14, 1]], 19/2419200], [[[2, 13], [6, 1], [10, 1], [14, 1]], 19/29030400], [[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/37800], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/32400], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/36000], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/32400], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/10080], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/11340], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/43200], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/19440], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/57600], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 13/103680], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/12096], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/12960], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/403200], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 31/806400], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 101/453600], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 1/230400], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/24300], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 3743/48384000], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 31/483840], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 73/518400], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 23/241920], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/4147200], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 19/2073600], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 179/14515200], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 43/3225600], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 109/1451520], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1/1382400], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 353/29030400], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 19/24883200], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 1/967680], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 2021/145152000], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/49766400], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 59/58060800], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/32400], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/18000], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/32400], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/96000], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/6912], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 1/34560], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/5376], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/134400], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/10080], [[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/22680], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 1/8640], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/9720], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 7/72000], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 203/518400], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 1/5184], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/7776], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/40320], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 1/19200], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 3/25600], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 13/96768], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 13/103680], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 7/57600], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/2592], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 1/10368], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 31/691200], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 101/388800], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 25751/48384000], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 617/1451520], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 133/194400], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/53760], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 503/8064000], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 1/10752], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 19/82944], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 11/1612800], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 37/96768], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 31/414720], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 1/259200], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 23/207360], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 11047/72576000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 29/172800], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 58327/87091200], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 1/9676800], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 13/921600], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 541/4838400], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 2449/29030400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 43/2764800], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 353/24883200], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 577/29030400], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 176387/870912000], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 9049/580608000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1/829440], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 13/24883200], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 18581/870912000], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 1/33177600], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 3]], 1/96000], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/115200], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/4608], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 1/36000], [[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 1/44800], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/48000], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/6912], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 1/34560], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/1792], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/1344], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/33600], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/4608], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 1/115200], [[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/50400], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/20736], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/8640], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/19440], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/7776], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 11/72000], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 59/172800], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 5/36288], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/19440], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/13440], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 1/3840], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 5/9216], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 1/3072], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 23/96768], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/5760], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 1/1536], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1/4608], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/28800], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/10752], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/6912], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/11520], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 53/403200], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/4320], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 7/31104], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 13/82944], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 1/27648], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 49/345600], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 7/15552], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 1/10368], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1/9600], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 443/384000], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 43/51840], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 19/19440], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 31/161280], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1543/4032000], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 43/80640], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 133/138240], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 19/268800], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 1/46080], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 1/17920], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 1/9216], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1/6400], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 127/201600], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 617/1244160], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 1/9216], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 1/161280], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 31/1382400], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 37/82944], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 1/60480], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 47/72000], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 1381/1935360], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 179803/87091200], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 151/1935360], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 1/387072], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 1051/6451200], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 569/645120], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 1/53760], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 3/44800], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 887/3225600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 203/1036800], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 91/5529600], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 1/11612160], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 2449/24883200], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 1/4354560], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 1/4838400], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 4169/29030400], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 67459/62208000], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 6721/32256000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 577/24883200], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 23/33177600], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 67/12441600], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 76429/435456000], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/37800], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/48000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 1/36000], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 1/115200], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/4608], [[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/50400], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/6912], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/33600], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 3]], 1/96000], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/1344], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/1792], [[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 1/44800], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/4608], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/115200], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 1/96000], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/19200], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/20736], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/1536], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 5/43008], [[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/268800], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/43200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/7776], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 7/230400], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 1/9216], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 1/6912], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 1/32256], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/46080], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/4608], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/3024], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 1/2592], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 1/96768], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 1/6912], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/13824], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1/3024], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/2592], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/5184], [[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/44800], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 1/12000], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 13/172800], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 1/36288], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/13440], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1/2560], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 7/19200], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1/6400], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 5/9216], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 11/46080], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 11/96768], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1/20736], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 7/7680], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/17920], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/1152], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/11520], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/8064], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/6912], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 7/69120], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 1/1792], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/1344], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 5/43008], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1/4608], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/46080], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 13/268800], [[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 5/31104], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 43/82944], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 1/3456], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1/13824], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 53/345600], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 7/25920], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 5/10368], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 1/5184], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 1/13824], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 1/6048], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1/4320], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1/5184], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 1/1920], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 691/691200], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 23/36288], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 13/25920], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 7/11520], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 103/144000], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 131/161280], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 1/5184], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 463/414720], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 1/4032], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 179/806400], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 7/46080], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 11/40320], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 5/9216], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 131/230400], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 1/1536], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 1/4608], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 19/184320], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/28800], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/51840], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 71/161280], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 301/311040], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 37/46080], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 25/193536], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 1/55296], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 1/17280], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 127/172800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 31/181440], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 1/20736], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 1/8640], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 15031/12096000], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 313/241920], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 5693/2073600], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 1/4480], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 17/268800], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 391/645120], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 1/6912], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 2251/967680], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 31/161280], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 149/322560], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 1433/3225600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1381/1658880], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 8557/38707200], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 11/1451520], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 887/2764800], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 5/870912], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 1/193536], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 3583/7257600], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 17813/6451200], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 1/40320], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 578939/580608000], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 1/403200], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 4169/24883200], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 373/29030400], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 47/1658880], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 30323/41472000], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 17/1990656], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/96000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/18000], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/10080], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/6912], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/32400], [[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/22680], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/32400], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/134400], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/5376], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 1/12000], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/1152], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 5/43008], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 13/268800], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 11/46080], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/5184], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 5/9216], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1/4608], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1/3024], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 13/172800], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/2592], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 11/96768], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 7/69120], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 1/6912], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/6912], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/13824], [[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 1/30240], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/43200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/3024], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 1/2592], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 1/36288], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1/20736], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 1/5184], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/20736], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/7776], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/13440], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 1/96000], [[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/44800], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 7/7680], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1/6400], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 7/19200], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 7/230400], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1/2560], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/13440], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/1536], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/19200], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 1/32256], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/69120], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/1344], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 1/1792], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/17920], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 5/43008], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/4608], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/46080], [[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/268800], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/31104], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 23/230400], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 31/82944], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/4608], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 19/27648], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 11/32256], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 3/20480], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 47/110592], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1/1536], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 1/28800], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 13/230400], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/25920], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 11/460800], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 7/10368], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 31/20736], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 1/16128], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 1/9216], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 7/13824], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 11/27648], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 13/36864], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1/161280], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1/230400], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 1/2016], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 1/1512], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/2160], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 7/5184], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/96768], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1/34560], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 1/768], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 1/2304], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/4320], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 1/3456], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 1/82944], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 7/9600], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1/3200], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 449/1382400], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 17/96768], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 7/103680], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 3/35840], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1/1536], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 19/38400], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 1/2304], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/5184], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 19/46080], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 1/1344], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 1/1008], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 13/53760], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 1/2560], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 1/1920], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1/1792], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 23/27648], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 1/1920], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 7/7680], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 1/1152], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 23/92160], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1/51840], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/8960], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 19/20736], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 1/540], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 61/69120], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 43/221184], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 31/460800], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 71/138240], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 19/25920], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 29/41472], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 1/1728], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 3887/3456000], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 689/645120], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1/34560], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 671/414720], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 1/26880], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 971/3225600], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 7/19200], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 115/129024], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 5/6912], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 1733/691200], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 1/1152], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 31/34560], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 23/19200], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 1/13824], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 377/1075200], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 227/138240], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 3977/3870720], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 319/1935360], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 1433/2764800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 67/725760], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 227/4838400], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 139/161280], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 1/46080], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 34669/9676800], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 1/38400], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 31/120960], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 21199/9676800], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 31/1209600], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 26071/43545600], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 21533/232243200], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 679/8294400], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 1/268800], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 243781/145152000], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 109/2322432], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/36000], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/10080], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/32400], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/11340], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/32400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 11/72000], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/28800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1/4608], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 53/403200], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 1/3072], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 5/9216], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/10752], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 59/172800], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 23/96768], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/11520], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/6912], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/4320], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/8640], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 5/36288], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/5760], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/20736], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/19440], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/7776], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/19440], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/13440], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 1/1536], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 1/3840], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/53760], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1/5376], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 19/38400], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 1/82944], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1/1536], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 1/2304], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1/1792], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 23/92160], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 13/36864], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 1/1152], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1/14400], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1/230400], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 449/1382400], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 1/3456], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 1/768], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 1/2304], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 1/1920], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 7/13824], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 23/27648], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 47/110592], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/8960], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 13/230400], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 1/1512], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 1/2016], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/4320], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 7/5184], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 17/96768], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 19/46080], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 31/20736], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/5184], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 19/27648], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/2160], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1/51840], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 7/103680], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 7/10368], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 31/82944], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/25920], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/31104], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1/3200], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 7/9600], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 11/460800], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/96768], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 13/53760], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/4608], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 23/230400], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 1/16128], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 1/1008], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 1/1344], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 3/35840], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 7/7680], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 1/1920], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 11/32256], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 11/27648], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 1/9216], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 1/2560], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1/1536], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 3/20480], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 1/28800], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/13440], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1/161280], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 7/115200], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 95/248832], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 139/82944], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 49/184320], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 1/2560], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 1/432], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 5/4608], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 67/73728], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 1/71680], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 1/153600], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 1/28800], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 1/17280], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 1/7680], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 13/6912], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 5/129024], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 37/276480], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 17/4608], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 13/69120], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 43/27648], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 1/2880], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 1/69120], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1/17280], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 7/8640], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1/55296], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 1/768], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 43/82944], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1/138240], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 1/82944], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 3/71680], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 7/15360], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 1/2688], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 1/34560], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 299/829440], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1/8960], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 1/6720], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 1/5376], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1/1920], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 53/46080], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 43/61440], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 53/69120], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 5/4608], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 7/5760], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 25/13824], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 11/9216], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 1/13824], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 79/645120], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 3167/1658880], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 769/331776], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 281/276480], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 1/34560], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 1243/2764800], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 17/23040], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 119/691200], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 493/645120], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 1/9216], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 6463/2764800], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 1/7680], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 59/69120], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 901/368640], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 7/86400], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 3601/2903040], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 769/1935360], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 419/2764800], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 31/806400], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 1201/552960], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 12983/87091200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 7/72000], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 7/57600], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 3/25600], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1/9216], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 203/518400], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 13/96768], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/2592], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 1/8640], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 1/5184], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 13/103680], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/7776], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/9720], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/40320], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/7680], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 1/19200], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 103/144000], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 7/11520], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 11/40320], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 19/184320], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 1/4608], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/28800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 691/691200], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 131/161280], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 131/230400], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 1/13824], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 5/9216], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1/13824], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 71/161280], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 53/345600], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 1/6048], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1/5184], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 23/36288], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 463/414720], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 1/5184], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 1/5184], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 1/3456], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1/4320], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/51840], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 13/25920], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 5/10368], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 43/82944], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 7/25920], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 5/31104], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 1/1920], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 179/806400], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 1/4032], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 1/1536], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 7/46080], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 7/15360], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 1/82944], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 43/82944], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 43/61440], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 11/9216], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 43/27648], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 25/13824], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 67/73728], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 79/645120], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 1/28800], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 1/153600], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1/17280], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1/138240], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 1/768], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 1/2688], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 5/4608], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 17/4608], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 53/69120], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 1/432], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 7/8640], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 1/13824], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 1/17280], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 1/2880], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 299/829440], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 13/6912], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 1/34560], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 139/82944], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 1/7680], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 95/248832], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 1/5376], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 7/115200], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 5/129024], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1/55296], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 1/6720], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1/8960], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 3/71680], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 7/5760], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 53/46080], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 49/184320], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 13/69120], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 37/276480], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1/1920], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 5/4608], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 1/2560], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 469/414720], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 11/138240], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 563/1843200], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 9829/3317760], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 29/69120], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 395/110592], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1/34560], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 1/11520], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 1/8640], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 619/2764800], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 7/110592], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 5/1536], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 1/46080], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 541/368640], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 157/2764800], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 13/61440], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 1/12800], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 1/2560], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 97/276480], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 1/9216], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 7/10240], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 7/38400], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 1/960], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 3769/2764800], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 2767/1658880], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 7781/6635520], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 11/51200], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 7/57600], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 2159/1382400], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 1801/5806080], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/57600], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 31/806400], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 13/103680], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 101/453600], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/43200], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/12096], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/12960], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/19440], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/403200], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1543/4032000], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 31/161280], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 1/17920], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 443/384000], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 43/80640], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1/6400], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 1/9216], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 127/201600], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 49/345600], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 43/51840], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 133/138240], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 1/27648], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 19/19440], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 1/10368], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 13/82944], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 7/15552], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 7/31104], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1/9600], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 19/268800], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 1/7680], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 1/46080], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 3887/3456000], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 115/129024], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 23/19200], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 31/34560], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 43/221184], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 377/1075200], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 31/460800], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 689/645120], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 1733/691200], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 29/41472], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 5/6912], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 61/69120], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 1/1728], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 1/13824], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 671/414720], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 19/25920], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1/34560], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 1/540], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 71/138240], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 19/20736], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 971/3225600], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 1/26880], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 1/1152], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 7/19200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 13/61440], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 97/276480], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 3769/2764800], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 541/368640], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 1/960], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 395/110592], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1/11520], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 1/8640], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 1/11520], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 157/2764800], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 7/10240], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 5/1536], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 1/9216], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 9829/3317760], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 619/2764800], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 469/414720], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 7/38400], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 1/2560], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 11/138240], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 1/46080], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 7/110592], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 1/12800], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 29/69120], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 563/1843200], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 259/2764800], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 247/184320], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 1/23040], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 739/245760], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 127/1843200], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 527/2764800], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 127/276480], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 1/7680], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 541/921600], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 181/368640], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 503/8064000], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/53760], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 25751/48384000], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 1/10752], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 37/96768], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 31/691200], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 617/1451520], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 19/82944], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 133/194400], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 101/388800], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 1/10368], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 11/1612800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 15031/12096000], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 391/645120], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 149/322560], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 31/161280], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 1/55296], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 1433/3225600], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 1/17280], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 313/241920], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 2251/967680], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 1/20736], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 1/6912], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 25/193536], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 1/8640], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1/69120], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 5693/2073600], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 31/181440], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 37/46080], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 127/172800], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 301/311040], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 1/4480], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1/5760], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 17/268800], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 493/645120], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 901/368640], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 59/69120], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 281/276480], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 7/86400], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 1/34560], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 6463/2764800], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 17/23040], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 1/9216], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 769/331776], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 1243/2764800], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 3167/1658880], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 1/7680], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 119/691200], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 541/921600], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 127/276480], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 1/7680], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 739/245760], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 527/2764800], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 127/1843200], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 247/184320], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 1/23040], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 259/2764800], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 353/442368], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 3743/48384000], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 23/241920], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 1/230400], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 31/483840], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 73/518400], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/24300], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 47/72000], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 1051/6451200], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 3/44800], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 1/53760], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 887/3225600], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 31/1382400], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 1381/1935360], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 569/645120], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 1/161280], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 179803/87091200], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 1/60480], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 1/9216], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 37/82944], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 617/1244160], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 151/1935360], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 1/387072], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 139/161280], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 21199/9676800], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 31/120960], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 319/1935360], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 31/1209600], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 34669/9676800], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 67/725760], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 1/46080], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 3977/3870720], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 1433/2764800], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 227/138240], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 1/38400], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 227/4838400], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 2159/1382400], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 7/57600], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 7781/6635520], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 11/51200], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 2767/1658880], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 353/442368], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 11047/72576000], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 13/921600], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 2449/29030400], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 1/259200], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 29/172800], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 541/4838400], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 58327/87091200], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 23/207360], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 31/414720], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 1/80640], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 1/9676800], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 3583/7257600], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 578939/580608000], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 1/40320], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 11/1451520], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 1/403200], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 17813/6451200], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 5/870912], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 8557/38707200], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 887/2764800], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1381/1658880], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 1/193536], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 1201/552960], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 31/806400], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 769/1935360], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 419/2764800], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 3601/2903040], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 181/368640], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 179/14515200], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 353/29030400], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/4147200], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 43/3225600], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 109/1451520], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 19/2073600], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1/1382400], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 4169/29030400], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 6721/32256000], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 1/11612160], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 67459/62208000], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 1/4354560], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 91/5529600], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 2449/24883200], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 203/1036800], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 1/4838400], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 243781/145152000], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 1/268800], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 21533/232243200], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 679/8294400], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 26071/43545600], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 1801/5806080], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 577/29030400], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 9049/580608000], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 176387/870912000], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 353/24883200], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 43/2764800], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 30323/41472000], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 373/29030400], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 47/1658880], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 4169/24883200], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 12983/87091200], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 1/967680], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 2021/145152000], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 19/24883200], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 76429/435456000], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 23/33177600], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 67/12441600], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 577/24883200], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 109/2322432], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 18581/870912000], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 13/24883200], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1/829440], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 17/1990656], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 59/58060800], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/49766400], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 1/1244160], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 1/33177600], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [14, 1]], 1/25200], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/40320], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/7560], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 19/201600], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4838400], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/2688], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [14, 1]], 1/25200], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/2688], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/21600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/10368], [[[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]], 1/6480], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1920], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 23/201600], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3840], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/8064], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/34560], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/6480], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 1/13824], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/7200], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 13/25200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 61/806400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1/345600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 19/172800], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 1/80640], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1/50400], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/193536], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 277/1612800], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/134400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 1/55296], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/5806080], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/3628800], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 7/8294400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/2688], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [7, 1]], 1/25200], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/2688], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/21600], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/9600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/10368], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/2688], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/3456], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 1/2160], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 1/3024], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/3456], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/6912], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 7/9600], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/9600], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/15120], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/4480], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1920], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 23/172800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/3456], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/4608], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 5/13824], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/6912], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/6912], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/1440], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/1728], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/6048], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6912], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1440], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4608], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 7/23040], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 97/268800], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/34560], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/4608], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 13/21600], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 31/241920], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 61/691200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1/27648], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 1/23040], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 31/151200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/25200], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 487/806400], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 31/403200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1/26880], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 277/1382400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 5/1161216], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 11/1382400], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 1/145152], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 1/67200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1935360], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1/69120], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [7, 1]], 1/25200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/9600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/8064], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 1/3024], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/6720], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 1/2160], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1800], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/15120], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/21600], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/3024], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/3456], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/10368], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 1/6480], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 7/9600], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/4480], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3840], [[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 7/57600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/12960], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 1/10752], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 7/4608], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/28800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 5/8064], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 11/13824], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2016], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/5376], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 7/6912], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/4608], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 7/7200], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/1728], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/40320], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/1512], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1152], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/2160], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4608], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 5/8064], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 7/6912], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/7680], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/1152], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 7/4320], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/4320], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1152], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/34560], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 7/13824], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2240], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2560], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 1/960], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2016], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 61/161280], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2880], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1/11520], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 5/4608], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 7/8640], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 5/16128], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 29/34560], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 197/230400], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 13/27648], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 11/46080], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 7/10800], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2304], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1/1728], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2304], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 7/57600], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 31/38400], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2400], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 31/80640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 487/691200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 137/967680], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 23/76800], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/18900], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 31/201600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 5/387072], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 151/1658880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 23/201600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/3840], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/9600], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/8064], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/5040], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/21600], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/17280], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/10368], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/6480], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1920], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/57600], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 61/161280], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/28800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 7/4608], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 5/8064], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 7/13824], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2016], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/2880], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/4032], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/5376], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/1152], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 7/7200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/3360], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 7/57600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/1512], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1152], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/4320], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/2560], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 5/8064], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 7/6912], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/4608], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 7/6912], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 7/4320], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/2160], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1152], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/5760], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 11/13824], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/1728], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/12960], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/3456], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1680], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2240], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4608], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/960], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2016], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/10752], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/15360], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/38400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/11520], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 11/24192], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 5/4608], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2880], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/13440], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/2880], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 7/11520], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 5/5376], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 5/4032], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 19/6912], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 181/138240], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/5120], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 11/4608], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/2560], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 13/17280], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2880], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 11/24192], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 7/2304], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 7/8640], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 5/9216], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 7/3456], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/3456], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/34560], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1/4608], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4608], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 137/322560], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 11/11520], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 11/48384], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 7/5760], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 871/691200], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 53/46080], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 929/691200], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 11/57600], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 89/172800], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1/10080], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 29/69120], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/40320], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/7560], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 97/268800], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/3840], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/1440], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1440], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 23/172800], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/6048], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4608], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6912], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/6912], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/4320], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/6912], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 5/13824], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/1728], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/4320], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/3456], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/6720], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 7/23040], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 137/322560], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/11520], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/38400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 11/24192], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1/4608], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/34560], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/13440], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1440], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 11/11520], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 5/4032], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 5/5376], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 7/3456], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 5/9216], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1/2560], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 11/4608], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1/5120], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/3456], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 7/8640], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2160], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 11/24192], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 7/2304], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2880], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 181/138240], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 19/6912], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 13/17280], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2880], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 5/4608], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4608], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/15360], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 7/11520], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1/19200], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3840], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 11/16128], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 11/12096], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 1/720], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 313/276480], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 23/30720], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 133/27648], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 83/46080], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 17/34560], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 109/276480], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1920], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 11/17280], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2880], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 1057/921600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 61/806400], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 13/25200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/34560], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/23040], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/13824], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/8640], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/6480], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 31/38400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/2880], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2400], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 5/16128], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 11/46080], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 13/27648], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 1/1728], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2304], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2304], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 197/230400], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 29/34560], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 7/10800], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 7/8640], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 5/4608], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 7/57600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/9600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 11/17280], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 11/12096], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 11/16128], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1920], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 109/276480], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 83/46080], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 133/27648], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 23/30720], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 17/34560], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 313/276480], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 1/720], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3840], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 97/184320], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 13/15360], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 23/17280], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 19/201600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 487/806400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/34560], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 31/403200], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 1/23040], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1/27648], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/8640], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/11520], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 61/691200], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 31/241920], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 31/151200], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 13/21600], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/4608], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/25200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/19200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 89/172800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 11/48384], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 929/691200], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 53/46080], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 11/57600], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 871/691200], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 7/5760], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 23/17280], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 13/15360], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 97/184320], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 277/1612800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/345600], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/134400], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/80640], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/50400], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 19/172800], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/193536], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 31/201600], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 23/76800], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 137/967680], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 1/18900], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 487/691200], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 31/80640], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 1057/921600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2880], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 1/64512], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/4838400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/67200], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 11/1382400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 5/1161216], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/145152], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 277/1382400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1/26880], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 29/69120], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1/10080], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/5806080], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/3628800], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 1/55296], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 151/1658880], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 5/387072], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1/69120], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1935360], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/8294400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/67200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/2400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1680], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2304], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 31/201600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/2400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/4032], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/2520], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2520], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1680], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/4320], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1260], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1344], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2304], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2304], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/14400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/8640], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/4320], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1344], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1260], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1344], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/8640], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/896], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/672], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/960], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/11520], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/11520], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/960], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1728], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/768], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2304], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/960], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/672], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/896], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/11520], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/11520], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/960], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/8640], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1280], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/384], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/3840], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/14400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2304], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/3840], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/384], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1280], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 31/201600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/768], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1728], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/67200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/3840], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/5760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/5760], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760] ]}