{[ [[[1, 24]], 1/16019260472033280000], [[[2, 24]], 1/16019260472033280000], [[[1, 1], [2, 23]], 1/111244864389120000], [[[1, 2], [2, 22]], 41/74163242926080000], [[[1, 3], [2, 21]], 101/5297374494720000], [[[1, 4], [2, 20]], 1634429/4004815118008320000], [[[1, 5], [2, 19]], 42167/7416324292608000], [[[1, 6], [2, 18]], 105608639/2002407559004160000], [[[1, 6], [3, 9]], 1/181398528], [[[1, 7], [2, 17]], 15658549/47676370452480000], [[[1, 8], [2, 16]], 348349369/254273975746560000], [[[1, 8], [3, 8]], 43/967458816], [[[1, 8], [5, 4]], 1/80000], [[[1, 9], [2, 15]], 859963/227030335488000], [[[1, 10], [2, 14]], 3123643/454060670976000], [[[1, 10], [3, 7]], 23371/270888468480], [[[1, 11], [2, 13]], 412213/48157949952000], [[[1, 12], [2, 12]], 1705171/192631799808000], [[[1, 12], [3, 6]], 1957/45148078080], [[[1, 12], [5, 3]], 311/5806080000], [[[1, 12], [7, 2]], 1/609638400], [[[1, 13], [2, 11]], 412213/48157949952000], [[[1, 14], [2, 10]], 3123643/454060670976000], [[[1, 14], [3, 5]], 43237/8513637580800], [[[1, 14], [11, 1]], 1/367873228800], [[[1, 15], [2, 9]], 859963/227030335488000], [[[1, 16], [2, 8]], 348349369/254273975746560000], [[[1, 16], [3, 4]], 72041/333734593167360], [[[1, 16], [4, 4]], 1/70631659929600], [[[1, 16], [5, 2]], 533/28612362240000], [[[1, 17], [2, 7]], 15658549/47676370452480000], [[[1, 18], [2, 6]], 105608639/2002407559004160000], [[[1, 18], [3, 3]], 219467/66746918633472000], [[[1, 18], [7, 1]], 107/2781121609728000], [[[1, 18], [9, 1]], 1/2781121609728000], [[[1, 19], [2, 5]], 42167/7416324292608000], [[[1, 20], [2, 4]], 1634429/4004815118008320000], [[[1, 20], [3, 2]], 1/47405481984000], [[[1, 20], [4, 2]], 1/16686729658368000], [[[1, 20], [5, 1]], 1/496628858880000], [[[1, 21], [2, 3]], 101/5297374494720000], [[[1, 22], [2, 2]], 41/74163242926080000], [[[1, 22], [3, 1]], 1/16686729658368000], [[[1, 23], [2, 1]], 1/111244864389120000], [[[2, 6], [6, 9]], 1/181398528], [[[2, 8], [6, 8]], 43/967458816], [[[2, 8], [10, 4]], 1/80000], [[[2, 10], [6, 7]], 23371/270888468480], [[[2, 12], [6, 6]], 1957/45148078080], [[[2, 12], [10, 3]], 311/5806080000], [[[2, 12], [14, 2]], 1/609638400], [[[2, 14], [6, 5]], 43237/8513637580800], [[[2, 14], [22, 1]], 1/367873228800], [[[2, 16], [4, 4]], 1/70631659929600], [[[2, 16], [6, 4]], 72041/333734593167360], [[[2, 16], [10, 2]], 533/28612362240000], [[[2, 18], [6, 3]], 219467/66746918633472000], [[[2, 18], [14, 1]], 107/2781121609728000], [[[2, 18], [18, 1]], 1/2781121609728000], [[[2, 20], [4, 2]], 1/16686729658368000], [[[2, 20], [6, 2]], 1/47405481984000], [[[2, 20], [10, 1]], 1/496628858880000], [[[2, 22], [6, 1]], 1/16686729658368000], [[[1, 1], [2, 7], [6, 8]], 11/80621568], [[[1, 1], [2, 7], [10, 4]], 1/20000], [[[1, 1], [2, 9], [6, 7]], 3547/6449725440], [[[1, 1], [2, 11], [6, 6]], 21883/45148078080], [[[1, 1], [2, 11], [10, 3]], 187/138240000], [[[1, 1], [2, 11], [14, 2]], 23/304819200], [[[1, 1], [2, 13], [4, 5]], 743/17657914982400], [[[1, 1], [2, 13], [6, 5]], 41039/361184624640], [[[1, 1], [2, 13], [22, 1]], 13/61312204800], [[[1, 1], [2, 15], [4, 4]], 1/980995276800], [[[1, 1], [2, 15], [6, 4]], 2215249/278112160972800], [[[1, 1], [2, 15], [10, 2]], 299203/257511260160000], [[[1, 1], [2, 17], [4, 3]], 18971/66746918633472000], [[[1, 1], [2, 17], [6, 3]], 153509/794606174208000], [[[1, 1], [2, 17], [14, 1]], 397/115880067072000], [[[1, 1], [2, 17], [18, 1]], 1/25751126016000], [[[1, 1], [2, 19], [4, 2]], 1/154506756096000], [[[1, 1], [2, 19], [6, 2]], 2501/1390560804864000], [[[1, 1], [2, 19], [8, 1]], 1/1390560804864000], [[[1, 1], [2, 19], [10, 1]], 713/3476402012160000], [[[1, 1], [2, 21], [4, 1]], 1/2472108097536000], [[[1, 1], [2, 21], [6, 1]], 19/2781121609728000], [[[1, 2], [2, 6], [6, 8]], 1/161243136], [[[1, 2], [2, 6], [10, 4]], 3/40000], [[[1, 2], [2, 8], [6, 7]], 12007/12899450880], [[[1, 2], [2, 10], [4, 6]], 53/5945425920], [[[1, 2], [2, 10], [6, 6]], 4067/2149908480], [[[1, 2], [2, 10], [10, 3]], 4943/483840000], [[[1, 2], [2, 10], [14, 2]], 43/40642560], [[[1, 2], [2, 12], [4, 5]], 383/267544166400], [[[1, 2], [2, 12], [6, 5]], 98377/112870195200], [[[1, 2], [2, 12], [22, 1]], 247/40874803200], [[[1, 2], [2, 14], [4, 4]], 61/160526499840], [[[1, 2], [2, 14], [6, 4]], 8725147/79460617420800], [[[1, 2], [2, 14], [8, 2]], 1/490497638400], [[[1, 2], [2, 14], [10, 2]], 137593/5255331840000], [[[1, 2], [2, 16], [4, 3]], 32161/1589212348416000], [[[1, 2], [2, 16], [6, 3]], 5370509/1236054048768000], [[[1, 2], [2, 16], [14, 1]], 1229/10300450406400], [[[1, 2], [2, 16], [18, 1]], 29/17167417344000], [[[1, 2], [2, 18], [3, 2]], 1/3575727783936000], [[[1, 2], [2, 18], [4, 2]], 2467/2118949797888000], [[[1, 2], [2, 18], [5, 1]], 1/993257717760000], [[[1, 2], [2, 18], [6, 2]], 169957/2781121609728000], [[[1, 2], [2, 18], [8, 1]], 17/222489728778240], [[[1, 2], [2, 18], [10, 1]], 8387/993257717760000], [[[1, 2], [2, 20], [3, 1]], 1/6257523621888000], [[[1, 2], [2, 20], [4, 1]], 97/2224897287782400], [[[1, 2], [2, 20], [6, 1]], 359/1112448643891200], [[[1, 3], [2, 5], [6, 8]], 1/241864704], [[[1, 3], [2, 5], [10, 4]], 1/20000], [[[1, 3], [2, 7], [4, 7]], 1/14155776], [[[1, 3], [2, 7], [6, 7]], 379/1934917632], [[[1, 3], [2, 9], [4, 6]], 23/212336640], [[[1, 3], [2, 9], [6, 6]], 18923/6449725440], [[[1, 3], [2, 9], [10, 3]], 89737/2903040000], [[[1, 3], [2, 9], [14, 2]], 1/161280], [[[1, 3], [2, 11], [4, 5]], 653/7644119040], [[[1, 3], [2, 11], [6, 5]], 824737/270888468480], [[[1, 3], [2, 11], [22, 1]], 403/5109350400], [[[1, 3], [2, 13], [4, 4]], 58529/4414478745600], [[[1, 3], [2, 13], [6, 4]], 21639217/29797731532800], [[[1, 3], [2, 13], [8, 2]], 17/122624409600], [[[1, 3], [2, 13], [10, 2]], 162163/583925760000], [[[1, 3], [2, 15], [4, 3]], 73309/58859716608000], [[[1, 3], [2, 15], [6, 3]], 39076823/794606174208000], [[[1, 3], [2, 15], [14, 1]], 1457/689762304000], [[[1, 3], [2, 15], [18, 1]], 47/1226244096000], [[[1, 3], [2, 17], [3, 2]], 17/595954630656000], [[[1, 3], [2, 17], [4, 2]], 16337/231760134144000], [[[1, 3], [2, 17], [5, 1]], 17/165542952960000], [[[1, 3], [2, 17], [6, 2]], 2260427/2085841207296000], [[[1, 3], [2, 17], [8, 1]], 619/189621927936000], [[[1, 3], [2, 17], [10, 1]], 15149/82771476480000], [[[1, 3], [2, 19], [3, 1]], 1/57940033536000], [[[1, 3], [2, 19], [4, 1]], 11657/6067901693952000], [[[1, 3], [2, 19], [6, 1]], 34499/4171682414592000], [[[1, 4], [2, 4], [3, 8]], 1/2902376448], [[[1, 4], [2, 4], [4, 8]], 1/14155776], [[[1, 4], [2, 4], [5, 4]], 1/80000], [[[1, 4], [2, 4], [6, 8]], 1/2902376448], [[[1, 4], [2, 4], [10, 4]], 1/80000], [[[1, 4], [2, 6], [3, 7]], 1/116095057920], [[[1, 4], [2, 6], [4, 7]], 1/2359296], [[[1, 4], [2, 6], [6, 7]], 2405/23219011584], [[[1, 4], [2, 8], [4, 6]], 5047/3822059520], [[[1, 4], [2, 8], [5, 3]], 1/92160000], [[[1, 4], [2, 8], [6, 6]], 90593/58047528960], [[[1, 4], [2, 8], [10, 3]], 2071/46080000], [[[1, 4], [2, 8], [14, 2]], 211/13547520], [[[1, 4], [2, 10], [4, 5]], 18461/17836277760], [[[1, 4], [2, 10], [6, 5]], 8270807/1625330810880], [[[1, 4], [2, 10], [11, 1]], 1/1167851520], [[[1, 4], [2, 10], [22, 1]], 3769/7357464576], [[[1, 4], [2, 12], [4, 4]], 5088683/17657914982400], [[[1, 4], [2, 12], [6, 4]], 902449301/357572778393600], [[[1, 4], [2, 12], [8, 2]], 1213/367873228800], [[[1, 4], [2, 12], [10, 2]], 2535853/1672151040000], [[[1, 4], [2, 14], [3, 3]], 1/2483144294400], [[[1, 4], [2, 14], [4, 3]], 3672839/105947489894400], [[[1, 4], [2, 14], [6, 3]], 251540207/817309207756800], [[[1, 4], [2, 14], [14, 1]], 1301869/61802702438400], [[[1, 4], [2, 14], [18, 1]], 39241/79460617420800], [[[1, 4], [2, 16], [3, 2]], 499/397303087104000], [[[1, 4], [2, 16], [4, 2]], 13745029/7416324292608000], [[[1, 4], [2, 16], [5, 1]], 17/4087480320000], [[[1, 4], [2, 16], [6, 2]], 39640103/3575727783936000], [[[1, 4], [2, 16], [8, 1]], 8251/113515167744000], [[[1, 4], [2, 16], [10, 1]], 5325253/2317601341440000], [[[1, 4], [2, 18], [3, 1]], 7549/10012037795020800], [[[1, 4], [2, 18], [4, 1]], 1507717/33373459316736000], [[[1, 4], [2, 18], [6, 1]], 454187/3575727783936000], [[[1, 4], [3, 4], [7, 2]], 1/381024], [[[1, 4], [3, 4], [9, 2]], 1/34992], [[[1, 4], [3, 5], [11, 1]], 1/1026432], [[[1, 4], [3, 7], [7, 1]], 1/17635968], [[[1, 4], [3, 7], [9, 1]], 1/2519424], [[[1, 4], [3, 8], [4, 2]], 1/241864704], [[[1, 4], [5, 2], [7, 2]], 1/4900], [[[1, 5], [2, 3], [3, 8]], 1/241864704], [[[1, 5], [2, 3], [5, 4]], 1/20000], [[[1, 5], [2, 5], [3, 7]], 11/1289945088], [[[1, 5], [2, 5], [4, 7]], 1/786432], [[[1, 5], [2, 5], [6, 7]], 11/1289945088], [[[1, 5], [2, 7], [3, 6]], 19/19349176320], [[[1, 5], [2, 7], [4, 6]], 1373/212336640], [[[1, 5], [2, 7], [5, 3]], 7/15360000], [[[1, 5], [2, 7], [6, 6]], 289/429981696], [[[1, 5], [2, 7], [10, 3]], 59/1843200], [[[1, 5], [2, 7], [14, 2]], 19/1354752], [[[1, 5], [2, 9], [3, 5]], 1/51597803520], [[[1, 5], [2, 9], [4, 5]], 224759/35672555520], [[[1, 5], [2, 9], [6, 5]], 241667/60197437440], [[[1, 5], [2, 9], [11, 1]], 7/194641920], [[[1, 5], [2, 9], [22, 1]], 1493/875888640], [[[1, 5], [2, 11], [4, 4]], 493/174182400], [[[1, 5], [2, 11], [5, 2]], 1/10616832000], [[[1, 5], [2, 11], [6, 4]], 8499571/1805923123200], [[[1, 5], [2, 11], [8, 2]], 383/11147673600], [[[1, 5], [2, 11], [10, 2]], 1480847/334430208000], [[[1, 5], [2, 13], [3, 3]], 1/37623398400], [[[1, 5], [2, 13], [4, 3]], 56500733/132434362368000], [[[1, 5], [2, 13], [6, 3]], 361903/326998425600], [[[1, 5], [2, 13], [14, 1]], 43381/351151718400], [[[1, 5], [2, 13], [18, 1]], 4093/1103619686400], [[[1, 5], [2, 15], [3, 2]], 31/993257717760], [[[1, 5], [2, 15], [4, 2]], 10469/420426547200], [[[1, 5], [2, 15], [5, 1]], 17/197074944000], [[[1, 5], [2, 15], [6, 2]], 904741/13243436236800], [[[1, 5], [2, 15], [8, 1]], 13547/14714929152000], [[[1, 5], [2, 15], [10, 1]], 64061/3678732288000], [[[1, 5], [2, 17], [3, 1]], 4127/238381852262400], [[[1, 5], [2, 17], [4, 1]], 29787977/47676370452480000], [[[1, 5], [2, 17], [6, 1]], 7739/6320730931200], [[[1, 6], [2, 2], [3, 8]], 1/161243136], [[[1, 6], [2, 2], [5, 4]], 3/40000], [[[1, 6], [2, 4], [3, 7]], 2405/23219011584], [[[1, 6], [2, 4], [4, 7]], 1/2359296], [[[1, 6], [2, 4], [6, 7]], 1/116095057920], [[[1, 6], [2, 6], [3, 6]], 3739/58047528960], [[[1, 6], [2, 6], [4, 6]], 25/3145728], [[[1, 6], [2, 6], [5, 3]], 73/7680000], [[[1, 6], [2, 6], [6, 6]], 3739/58047528960], [[[1, 6], [2, 6], [7, 2]], 1/903168], [[[1, 6], [2, 6], [10, 3]], 73/7680000], [[[1, 6], [2, 6], [14, 2]], 1/903168], [[[1, 6], [2, 8], [3, 5]], 853/51597803520], [[[1, 6], [2, 8], [4, 5]], 9529/424673280], [[[1, 6], [2, 8], [6, 5]], 180817/96745881600], [[[1, 6], [2, 8], [11, 1]], 551/1167851520], [[[1, 6], [2, 8], [22, 1]], 75533/26276659200], [[[1, 6], [2, 10], [3, 4]], 79/206391214080], [[[1, 6], [2, 10], [4, 4]], 1187441/89181388800], [[[1, 6], [2, 10], [5, 2]], 91/10616832000], [[[1, 6], [2, 10], [6, 4]], 152562601/32506616217600], [[[1, 6], [2, 10], [8, 2]], 169/990904320], [[[1, 6], [2, 10], [10, 2]], 11799653/1672151040000], [[[1, 6], [2, 12], [3, 3]], 11527/19263179980800], [[[1, 6], [2, 12], [4, 3]], 41494069/16052649984000], [[[1, 6], [2, 12], [6, 3]], 16461050609/7151455567872000], [[[1, 6], [2, 12], [7, 1]], 1/5945425920], [[[1, 6], [2, 12], [9, 1]], 1/38220595200], [[[1, 6], [2, 12], [14, 1]], 3020323/7023034368000], [[[1, 6], [2, 12], [18, 1]], 1605409/99325771776000], [[[1, 6], [2, 14], [3, 2]], 881/1891919462400], [[[1, 6], [2, 14], [4, 2]], 24478871/132434362368000], [[[1, 6], [2, 14], [5, 1]], 10973/11036196864000], [[[1, 6], [2, 14], [6, 2]], 153603521/595954630656000], [[[1, 6], [2, 14], [8, 1]], 181213/26486872473600], [[[1, 6], [2, 14], [10, 1]], 1912759/23648993280000], [[[1, 6], [2, 16], [3, 1]], 181757/794606174208000], [[[1, 6], [2, 16], [4, 1]], 10543651/1986515435520000], [[[1, 6], [2, 16], [6, 1]], 1689113/223482986496000], [[[1, 6], [3, 3], [5, 3]], 1/5184000], [[[1, 6], [3, 3], [7, 2]], 121/7620480], [[[1, 6], [3, 3], [9, 2]], 1/62208], [[[1, 6], [3, 4], [11, 1]], 97/16422912], [[[1, 6], [3, 5], [4, 4]], 1/35831808], [[[1, 6], [3, 5], [5, 2]], 1/3110400], [[[1, 6], [3, 6], [7, 1]], 25/35271936], [[[1, 6], [3, 6], [9, 1]], 121/40310784], [[[1, 6], [3, 7], [4, 2]], 65/1934917632], [[[1, 6], [3, 7], [5, 1]], 13/100776960], [[[1, 6], [3, 7], [6, 2]], 1/20155392], [[[1, 6], [3, 7], [12, 1]], 1/3359232], [[[1, 6], [4, 4], [11, 1]], 1/1622016], [[[1, 6], [5, 2], [11, 1]], 1/8800], [[[1, 6], [5, 3], [7, 1]], 3/28000], [[[1, 6], [5, 3], [9, 1]], 1/72000], [[[1, 6], [7, 2], [9, 1]], 1/105840], [[[1, 7], [2, 1], [3, 8]], 11/80621568], [[[1, 7], [2, 1], [5, 4]], 1/20000], [[[1, 7], [2, 3], [3, 7]], 379/1934917632], [[[1, 7], [2, 3], [4, 7]], 1/14155776], [[[1, 7], [2, 5], [3, 6]], 289/429981696], [[[1, 7], [2, 5], [4, 6]], 1373/212336640], [[[1, 7], [2, 5], [5, 3]], 59/1843200], [[[1, 7], [2, 5], [6, 6]], 19/19349176320], [[[1, 7], [2, 5], [7, 2]], 19/1354752], [[[1, 7], [2, 5], [10, 3]], 7/15360000], [[[1, 7], [2, 7], [3, 5]], 4169/12899450880], [[[1, 7], [2, 7], [4, 5]], 15331/424673280], [[[1, 7], [2, 7], [6, 5]], 4169/12899450880], [[[1, 7], [2, 7], [11, 1]], 1613/729907200], [[[1, 7], [2, 7], [22, 1]], 1613/729907200], [[[1, 7], [2, 9], [3, 4]], 4799/103195607040], [[[1, 7], [2, 9], [4, 4]], 1237219/38220595200], [[[1, 7], [2, 9], [5, 2]], 2897/10616832000], [[[1, 7], [2, 9], [6, 4]], 470657/180592312320], [[[1, 7], [2, 9], [8, 2]], 23/53084160], [[[1, 7], [2, 9], [10, 2]], 9963431/1672151040000], [[[1, 7], [2, 11], [3, 3]], 4889/687970713600], [[[1, 7], [2, 11], [4, 3]], 2954807/356725555200], [[[1, 7], [2, 11], [6, 3]], 296606759/108355387392000], [[[1, 7], [2, 11], [7, 1]], 1/139345920], [[[1, 7], [2, 11], [9, 1]], 1/1061683200], [[[1, 7], [2, 11], [14, 1]], 27347/31352832000], [[[1, 7], [2, 11], [18, 1]], 60439/1504935936000], [[[1, 7], [2, 13], [3, 2]], 1657/401316249600], [[[1, 7], [2, 13], [4, 2]], 34729577/44144787456000], [[[1, 7], [2, 13], [5, 1]], 2203/334430208000], [[[1, 7], [2, 13], [6, 2]], 29488051/49662885888000], [[[1, 7], [2, 13], [8, 1]], 3965611/132434362368000], [[[1, 7], [2, 13], [10, 1]], 3172663/13795246080000], [[[1, 7], [2, 15], [3, 1]], 4471/2483144294400], [[[1, 7], [2, 15], [4, 1]], 37327667/1324343623680000], [[[1, 7], [2, 15], [6, 1]], 2980639/99325771776000], [[[1, 8], [2, 2], [3, 7]], 12007/12899450880], [[[1, 8], [2, 4], [3, 6]], 90593/58047528960], [[[1, 8], [2, 4], [4, 6]], 5047/3822059520], [[[1, 8], [2, 4], [5, 3]], 2071/46080000], [[[1, 8], [2, 4], [7, 2]], 211/13547520], [[[1, 8], [2, 4], [10, 3]], 1/92160000], [[[1, 8], [2, 6], [3, 5]], 180817/96745881600], [[[1, 8], [2, 6], [4, 5]], 9529/424673280], [[[1, 8], [2, 6], [6, 5]], 853/51597803520], [[[1, 8], [2, 6], [11, 1]], 75533/26276659200], [[[1, 8], [2, 6], [22, 1]], 551/1167851520], [[[1, 8], [2, 8], [3, 4]], 670721/1031956070400], [[[1, 8], [2, 8], [4, 4]], 6676741/152882380800], [[[1, 8], [2, 8], [5, 2]], 123707/53084160000], [[[1, 8], [2, 8], [6, 4]], 670721/1031956070400], [[[1, 8], [2, 8], [8, 2]], 11/17694720], [[[1, 8], [2, 8], [10, 2]], 123707/53084160000], [[[1, 8], [2, 10], [3, 3]], 66431/825564856320], [[[1, 8], [2, 10], [4, 3]], 5481809/356725555200], [[[1, 8], [2, 10], [6, 3]], 105656143/57789539942400], [[[1, 8], [2, 10], [7, 1]], 629/6370099200], [[[1, 8], [2, 10], [9, 1]], 37/3822059520], [[[1, 8], [2, 10], [14, 1]], 260023/267544166400], [[[1, 8], [2, 10], [18, 1]], 4919/89181388800], [[[1, 8], [2, 12], [3, 2]], 10721/481579499520], [[[1, 8], [2, 12], [4, 2]], 232360361/117719433216000], [[[1, 8], [2, 12], [5, 1]], 17923/668860416000], [[[1, 8], [2, 12], [6, 2]], 4235897/5159780352000], [[[1, 8], [2, 12], [8, 1]], 622369/8026324992000], [[[1, 8], [2, 12], [10, 1]], 3956537/10032906240000], [[[1, 8], [2, 14], [3, 1]], 564259/66217181184000], [[[1, 8], [2, 14], [4, 1]], 690923/7357464576000], [[[1, 8], [2, 14], [6, 1]], 2745131/36118462464000], [[[1, 8], [3, 2], [5, 3]], 19/864000], [[[1, 8], [3, 2], [7, 2]], 11/1270080], [[[1, 8], [3, 2], [9, 2]], 47/52254720], [[[1, 8], [3, 3], [11, 1]], 15121/4598415360], [[[1, 8], [3, 4], [4, 4]], 17/286654464], [[[1, 8], [3, 4], [5, 2]], 103/9953280], [[[1, 8], [3, 5], [7, 1]], 65/26873856], [[[1, 8], [3, 5], [9, 1]], 12647/3762339840], [[[1, 8], [3, 6], [4, 2]], 503/4837294080], [[[1, 8], [3, 6], [5, 1]], 479/403107840], [[[1, 8], [3, 6], [6, 2]], 11/107495424], [[[1, 8], [3, 6], [12, 1]], 11/17915904], [[[1, 8], [4, 2], [5, 3]], 1/512000], [[[1, 8], [4, 2], [7, 2]], 1/1128960], [[[1, 8], [4, 4], [5, 2]], 1/14745600], [[[1, 8], [5, 1], [7, 2]], 31/3628800], [[[1, 8], [7, 1], [11, 1]], 1/7983360], [[[1, 8], [9, 1], [11, 1]], 1/63866880], [[[1, 9], [2, 1], [3, 7]], 3547/6449725440], [[[1, 9], [2, 3], [3, 6]], 18923/6449725440], [[[1, 9], [2, 3], [4, 6]], 23/212336640], [[[1, 9], [2, 3], [5, 3]], 89737/2903040000], [[[1, 9], [2, 3], [7, 2]], 1/161280], [[[1, 9], [2, 5], [3, 5]], 241667/60197437440], [[[1, 9], [2, 5], [4, 5]], 224759/35672555520], [[[1, 9], [2, 5], [6, 5]], 1/51597803520], [[[1, 9], [2, 5], [11, 1]], 1493/875888640], [[[1, 9], [2, 5], [22, 1]], 7/194641920], [[[1, 9], [2, 7], [3, 4]], 470657/180592312320], [[[1, 9], [2, 7], [4, 4]], 1237219/38220595200], [[[1, 9], [2, 7], [5, 2]], 9963431/1672151040000], [[[1, 9], [2, 7], [6, 4]], 4799/103195607040], [[[1, 9], [2, 7], [8, 2]], 23/53084160], [[[1, 9], [2, 7], [10, 2]], 2897/10616832000], [[[1, 9], [2, 9], [3, 3]], 1261177/2063912140800], [[[1, 9], [2, 9], [4, 3]], 59014871/3210529996800], [[[1, 9], [2, 9], [6, 3]], 1261177/2063912140800], [[[1, 9], [2, 9], [7, 1]], 829/1592524800], [[[1, 9], [2, 9], [9, 1]], 1081/28665446400], [[[1, 9], [2, 9], [14, 1]], 829/1592524800], [[[1, 9], [2, 9], [18, 1]], 1081/28665446400], [[[1, 9], [2, 11], [3, 2]], 2579/28665446400], [[[1, 9], [2, 11], [4, 2]], 517639/167215104000], [[[1, 9], [2, 11], [5, 1]], 667/7962624000], [[[1, 9], [2, 11], [6, 2]], 42913/64497254400], [[[1, 9], [2, 11], [8, 1]], 5059/40131624960], [[[1, 9], [2, 11], [10, 1]], 99293/250822656000], [[[1, 9], [2, 13], [3, 1]], 1031/41803776000], [[[1, 9], [2, 13], [4, 1]], 4971643/25225592832000], [[[1, 9], [2, 13], [6, 1]], 2181079/18059231232000], [[[1, 10], [2, 2], [3, 6]], 4067/2149908480], [[[1, 10], [2, 2], [4, 6]], 53/5945425920], [[[1, 10], [2, 2], [5, 3]], 4943/483840000], [[[1, 10], [2, 2], [7, 2]], 43/40642560], [[[1, 10], [2, 4], [3, 5]], 8270807/1625330810880], [[[1, 10], [2, 4], [4, 5]], 18461/17836277760], [[[1, 10], [2, 4], [11, 1]], 3769/7357464576], [[[1, 10], [2, 4], [22, 1]], 1/1167851520], [[[1, 10], [2, 6], [3, 4]], 152562601/32506616217600], [[[1, 10], [2, 6], [4, 4]], 1187441/89181388800], [[[1, 10], [2, 6], [5, 2]], 11799653/1672151040000], [[[1, 10], [2, 6], [6, 4]], 79/206391214080], [[[1, 10], [2, 6], [8, 2]], 169/990904320], [[[1, 10], [2, 6], [10, 2]], 91/10616832000], [[[1, 10], [2, 8], [3, 3]], 105656143/57789539942400], [[[1, 10], [2, 8], [4, 3]], 5481809/356725555200], [[[1, 10], [2, 8], [6, 3]], 66431/825564856320], [[[1, 10], [2, 8], [7, 1]], 260023/267544166400], [[[1, 10], [2, 8], [9, 1]], 4919/89181388800], [[[1, 10], [2, 8], [14, 1]], 629/6370099200], [[[1, 10], [2, 8], [18, 1]], 37/3822059520], [[[1, 10], [2, 10], [3, 2]], 27181/85996339200], [[[1, 10], [2, 10], [4, 2]], 7422691/2140353331200], [[[1, 10], [2, 10], [5, 1]], 39001/167215104000], [[[1, 10], [2, 10], [6, 2]], 27181/85996339200], [[[1, 10], [2, 10], [8, 1]], 5681/38220595200], [[[1, 10], [2, 10], [10, 1]], 39001/167215104000], [[[1, 10], [2, 12], [3, 1]], 117631/2407897497600], [[[1, 10], [2, 12], [4, 1]], 109957/401316249600], [[[1, 10], [2, 12], [6, 1]], 217879/1805923123200], [[[1, 10], [3, 1], [5, 3]], 31/6912000], [[[1, 10], [3, 1], [7, 2]], 13/30481920], [[[1, 10], [3, 1], [9, 2]], 1/313528320], [[[1, 10], [3, 2], [11, 1]], 41/209018880], [[[1, 10], [3, 3], [4, 4]], 1/89579520], [[[1, 10], [3, 3], [5, 2]], 2593/516096000], [[[1, 10], [3, 4], [7, 1]], 210263/158018273280], [[[1, 10], [3, 4], [9, 1]], 19391/22574039040], [[[1, 10], [3, 5], [4, 2]], 6131/54177693696], [[[1, 10], [3, 5], [5, 1]], 55303/37623398400], [[[1, 10], [3, 5], [6, 2]], 137/10032906240], [[[1, 10], [3, 5], [12, 1]], 137/1672151040], [[[1, 10], [4, 2], [11, 1]], 1/383201280], [[[1, 10], [4, 4], [7, 1]], 1/123863040], [[[1, 10], [5, 1], [11, 1]], 23/638668800], [[[1, 10], [5, 2], [7, 1]], 1217/677376000], [[[1, 10], [5, 2], [9, 1]], 11/193536000], [[[1, 11], [2, 1], [3, 6]], 21883/45148078080], [[[1, 11], [2, 1], [5, 3]], 187/138240000], [[[1, 11], [2, 1], [7, 2]], 23/304819200], [[[1, 11], [2, 3], [3, 5]], 824737/270888468480], [[[1, 11], [2, 3], [4, 5]], 653/7644119040], [[[1, 11], [2, 3], [11, 1]], 403/5109350400], [[[1, 11], [2, 5], [3, 4]], 8499571/1805923123200], [[[1, 11], [2, 5], [4, 4]], 493/174182400], [[[1, 11], [2, 5], [5, 2]], 1480847/334430208000], [[[1, 11], [2, 5], [8, 2]], 383/11147673600], [[[1, 11], [2, 5], [10, 2]], 1/10616832000], [[[1, 11], [2, 7], [3, 3]], 296606759/108355387392000], [[[1, 11], [2, 7], [4, 3]], 2954807/356725555200], [[[1, 11], [2, 7], [6, 3]], 4889/687970713600], [[[1, 11], [2, 7], [7, 1]], 27347/31352832000], [[[1, 11], [2, 7], [9, 1]], 60439/1504935936000], [[[1, 11], [2, 7], [14, 1]], 1/139345920], [[[1, 11], [2, 7], [18, 1]], 1/1061683200], [[[1, 11], [2, 9], [3, 2]], 42913/64497254400], [[[1, 11], [2, 9], [4, 2]], 517639/167215104000], [[[1, 11], [2, 9], [5, 1]], 99293/250822656000], [[[1, 11], [2, 9], [6, 2]], 2579/28665446400], [[[1, 11], [2, 9], [8, 1]], 5059/40131624960], [[[1, 11], [2, 9], [10, 1]], 667/7962624000], [[[1, 11], [2, 11], [3, 1]], 34133/401316249600], [[[1, 11], [2, 11], [4, 1]], 1587181/5350883328000], [[[1, 11], [2, 11], [6, 1]], 34133/401316249600], [[[1, 12], [2, 2], [3, 5]], 98377/112870195200], [[[1, 12], [2, 2], [4, 5]], 383/267544166400], [[[1, 12], [2, 2], [11, 1]], 247/40874803200], [[[1, 12], [2, 4], [3, 4]], 902449301/357572778393600], [[[1, 12], [2, 4], [4, 4]], 5088683/17657914982400], [[[1, 12], [2, 4], [5, 2]], 2535853/1672151040000], [[[1, 12], [2, 4], [8, 2]], 1213/367873228800], [[[1, 12], [2, 6], [3, 3]], 16461050609/7151455567872000], [[[1, 12], [2, 6], [4, 3]], 41494069/16052649984000], [[[1, 12], [2, 6], [6, 3]], 11527/19263179980800], [[[1, 12], [2, 6], [7, 1]], 3020323/7023034368000], [[[1, 12], [2, 6], [9, 1]], 1605409/99325771776000], [[[1, 12], [2, 6], [14, 1]], 1/5945425920], [[[1, 12], [2, 6], [18, 1]], 1/38220595200], [[[1, 12], [2, 8], [3, 2]], 4235897/5159780352000], [[[1, 12], [2, 8], [4, 2]], 232360361/117719433216000], [[[1, 12], [2, 8], [5, 1]], 3956537/10032906240000], [[[1, 12], [2, 8], [6, 2]], 10721/481579499520], [[[1, 12], [2, 8], [8, 1]], 622369/8026324992000], [[[1, 12], [2, 8], [10, 1]], 17923/668860416000], [[[1, 12], [2, 10], [3, 1]], 217879/1805923123200], [[[1, 12], [2, 10], [4, 1]], 109957/401316249600], [[[1, 12], [2, 10], [6, 1]], 117631/2407897497600], [[[1, 12], [3, 1], [11, 1]], 13/9196830720], [[[1, 12], [3, 2], [4, 4]], 23/40131624960], [[[1, 12], [3, 2], [5, 2]], 3037/6967296000], [[[1, 12], [3, 3], [7, 1]], 4240387/34764020121600], [[[1, 12], [3, 3], [9, 1]], 1019/22574039040], [[[1, 12], [3, 4], [4, 2]], 7367/465589555200], [[[1, 12], [3, 4], [5, 1]], 26543/90296156160], [[[1, 12], [3, 4], [6, 2]], 13/22574039040], [[[1, 12], [3, 4], [12, 1]], 13/3762339840], [[[1, 12], [4, 2], [5, 2]], 1/124416000], [[[1, 12], [4, 4], [5, 1]], 1/3715891200], [[[1, 12], [7, 1], [9, 1]], 107/482833612800], [[[1, 13], [2, 1], [3, 5]], 41039/361184624640], [[[1, 13], [2, 1], [4, 5]], 743/17657914982400], [[[1, 13], [2, 1], [11, 1]], 13/61312204800], [[[1, 13], [2, 3], [3, 4]], 21639217/29797731532800], [[[1, 13], [2, 3], [4, 4]], 58529/4414478745600], [[[1, 13], [2, 3], [5, 2]], 162163/583925760000], [[[1, 13], [2, 3], [8, 2]], 17/122624409600], [[[1, 13], [2, 5], [3, 3]], 361903/326998425600], [[[1, 13], [2, 5], [4, 3]], 56500733/132434362368000], [[[1, 13], [2, 5], [6, 3]], 1/37623398400], [[[1, 13], [2, 5], [7, 1]], 43381/351151718400], [[[1, 13], [2, 5], [9, 1]], 4093/1103619686400], [[[1, 13], [2, 7], [3, 2]], 29488051/49662885888000], [[[1, 13], [2, 7], [4, 2]], 34729577/44144787456000], [[[1, 13], [2, 7], [5, 1]], 3172663/13795246080000], [[[1, 13], [2, 7], [6, 2]], 1657/401316249600], [[[1, 13], [2, 7], [8, 1]], 3965611/132434362368000], [[[1, 13], [2, 7], [10, 1]], 2203/334430208000], [[[1, 13], [2, 9], [3, 1]], 2181079/18059231232000], [[[1, 13], [2, 9], [4, 1]], 4971643/25225592832000], [[[1, 13], [2, 9], [6, 1]], 1031/41803776000], [[[1, 14], [2, 2], [3, 4]], 8725147/79460617420800], [[[1, 14], [2, 2], [4, 4]], 61/160526499840], [[[1, 14], [2, 2], [5, 2]], 137593/5255331840000], [[[1, 14], [2, 2], [8, 2]], 1/490497638400], [[[1, 14], [2, 4], [3, 3]], 251540207/817309207756800], [[[1, 14], [2, 4], [4, 3]], 3672839/105947489894400], [[[1, 14], [2, 4], [6, 3]], 1/2483144294400], [[[1, 14], [2, 4], [7, 1]], 1301869/61802702438400], [[[1, 14], [2, 4], [9, 1]], 39241/79460617420800], [[[1, 14], [2, 6], [3, 2]], 153603521/595954630656000], [[[1, 14], [2, 6], [4, 2]], 24478871/132434362368000], [[[1, 14], [2, 6], [5, 1]], 1912759/23648993280000], [[[1, 14], [2, 6], [6, 2]], 881/1891919462400], [[[1, 14], [2, 6], [8, 1]], 181213/26486872473600], [[[1, 14], [2, 6], [10, 1]], 10973/11036196864000], [[[1, 14], [2, 8], [3, 1]], 2745131/36118462464000], [[[1, 14], [2, 8], [4, 1]], 690923/7357464576000], [[[1, 14], [2, 8], [6, 1]], 564259/66217181184000], [[[1, 14], [3, 1], [4, 4]], 1/157659955200], [[[1, 14], [3, 1], [5, 2]], 179/27869184000], [[[1, 14], [3, 2], [7, 1]], 4853/1448500838400], [[[1, 14], [3, 2], [9, 1]], 1153/3310859059200], [[[1, 14], [3, 3], [4, 2]], 67981/95352740904960], [[[1, 14], [3, 3], [5, 1]], 5759647/347640201216000], [[[1, 14], [3, 3], [6, 2]], 7/945959731200], [[[1, 14], [3, 3], [12, 1]], 7/157659955200], [[[1, 14], [4, 2], [7, 1]], 23/643778150400], [[[1, 14], [4, 2], [9, 1]], 1/6621718118400], [[[1, 14], [4, 3], [8, 1]], 1/2942985830400], [[[1, 14], [5, 1], [7, 1]], 997/1839366144000], [[[1, 14], [5, 1], [9, 1]], 47/4828336128000], [[[1, 15], [2, 1], [3, 4]], 2215249/278112160972800], [[[1, 15], [2, 1], [4, 4]], 1/980995276800], [[[1, 15], [2, 1], [5, 2]], 299203/257511260160000], [[[1, 15], [2, 3], [3, 3]], 39076823/794606174208000], [[[1, 15], [2, 3], [4, 3]], 73309/58859716608000], [[[1, 15], [2, 3], [7, 1]], 1457/689762304000], [[[1, 15], [2, 3], [9, 1]], 47/1226244096000], [[[1, 15], [2, 5], [3, 2]], 904741/13243436236800], [[[1, 15], [2, 5], [4, 2]], 10469/420426547200], [[[1, 15], [2, 5], [5, 1]], 64061/3678732288000], [[[1, 15], [2, 5], [6, 2]], 31/993257717760], [[[1, 15], [2, 5], [8, 1]], 13547/14714929152000], [[[1, 15], [2, 5], [10, 1]], 17/197074944000], [[[1, 15], [2, 7], [3, 1]], 2980639/99325771776000], [[[1, 15], [2, 7], [4, 1]], 37327667/1324343623680000], [[[1, 15], [2, 7], [6, 1]], 4471/2483144294400], [[[1, 16], [2, 2], [3, 3]], 5370509/1236054048768000], [[[1, 16], [2, 2], [4, 3]], 32161/1589212348416000], [[[1, 16], [2, 2], [7, 1]], 1229/10300450406400], [[[1, 16], [2, 2], [9, 1]], 29/17167417344000], [[[1, 16], [2, 4], [3, 2]], 39640103/3575727783936000], [[[1, 16], [2, 4], [4, 2]], 13745029/7416324292608000], [[[1, 16], [2, 4], [5, 1]], 5325253/2317601341440000], [[[1, 16], [2, 4], [6, 2]], 499/397303087104000], [[[1, 16], [2, 4], [8, 1]], 8251/113515167744000], [[[1, 16], [2, 4], [10, 1]], 17/4087480320000], [[[1, 16], [2, 6], [3, 1]], 1689113/223482986496000], [[[1, 16], [2, 6], [4, 1]], 10543651/1986515435520000], [[[1, 16], [2, 6], [6, 1]], 181757/794606174208000], [[[1, 16], [3, 1], [7, 1]], 589/27811216097280], [[[1, 16], [3, 1], [9, 1]], 113/139056080486400], [[[1, 16], [3, 2], [4, 2]], 2251/238381852262400], [[[1, 16], [3, 2], [5, 1]], 58967/231760134144000], [[[1, 16], [3, 2], [6, 2]], 1/30901351219200], [[[1, 16], [3, 2], [12, 1]], 1/5150225203200], [[[1, 16], [4, 2], [5, 1]], 239/154506756096000], [[[1, 17], [2, 1], [3, 3]], 153509/794606174208000], [[[1, 17], [2, 1], [4, 3]], 18971/66746918633472000], [[[1, 17], [2, 1], [7, 1]], 397/115880067072000], [[[1, 17], [2, 1], [9, 1]], 1/25751126016000], [[[1, 17], [2, 3], [3, 2]], 2260427/2085841207296000], [[[1, 17], [2, 3], [4, 2]], 16337/231760134144000], [[[1, 17], [2, 3], [5, 1]], 15149/82771476480000], [[[1, 17], [2, 3], [6, 2]], 17/595954630656000], [[[1, 17], [2, 3], [8, 1]], 619/189621927936000], [[[1, 17], [2, 3], [10, 1]], 17/165542952960000], [[[1, 17], [2, 5], [3, 1]], 7739/6320730931200], [[[1, 17], [2, 5], [4, 1]], 29787977/47676370452480000], [[[1, 17], [2, 5], [6, 1]], 4127/238381852262400], [[[1, 18], [2, 2], [3, 2]], 169957/2781121609728000], [[[1, 18], [2, 2], [4, 2]], 2467/2118949797888000], [[[1, 18], [2, 2], [5, 1]], 8387/993257717760000], [[[1, 18], [2, 2], [6, 2]], 1/3575727783936000], [[[1, 18], [2, 2], [8, 1]], 17/222489728778240], [[[1, 18], [2, 2], [10, 1]], 1/993257717760000], [[[1, 18], [2, 4], [3, 1]], 454187/3575727783936000], [[[1, 18], [2, 4], [4, 1]], 1507717/33373459316736000], [[[1, 18], [2, 4], [6, 1]], 7549/10012037795020800], [[[1, 18], [3, 1], [4, 2]], 353/8343364829184000], [[[1, 18], [3, 1], [5, 1]], 3547/2781121609728000], [[[1, 18], [3, 1], [6, 2]], 1/22248972877824000], [[[1, 18], [3, 1], [12, 1]], 1/3708162146304000], [[[1, 18], [4, 1], [8, 1]], 1/1589212348416000], [[[1, 19], [2, 1], [3, 2]], 2501/1390560804864000], [[[1, 19], [2, 1], [4, 2]], 1/154506756096000], [[[1, 19], [2, 1], [5, 1]], 713/3476402012160000], [[[1, 19], [2, 1], [8, 1]], 1/1390560804864000], [[[1, 19], [2, 3], [3, 1]], 34499/4171682414592000], [[[1, 19], [2, 3], [4, 1]], 11657/6067901693952000], [[[1, 19], [2, 3], [6, 1]], 1/57940033536000], [[[1, 20], [2, 2], [3, 1]], 359/1112448643891200], [[[1, 20], [2, 2], [4, 1]], 97/2224897287782400], [[[1, 20], [2, 2], [6, 1]], 1/6257523621888000], [[[1, 21], [2, 1], [3, 1]], 19/2781121609728000], [[[1, 21], [2, 1], [4, 1]], 1/2472108097536000], [[[2, 4], [4, 2], [6, 8]], 1/241864704], [[[2, 4], [6, 4], [14, 2]], 1/381024], [[[2, 4], [6, 4], [18, 2]], 1/34992], [[[2, 4], [6, 5], [22, 1]], 1/1026432], [[[2, 4], [6, 7], [14, 1]], 1/17635968], [[[2, 4], [6, 7], [18, 1]], 1/2519424], [[[2, 4], [10, 2], [14, 2]], 1/4900], [[[2, 6], [3, 2], [6, 7]], 1/20155392], [[[2, 6], [4, 2], [6, 7]], 65/1934917632], [[[2, 6], [4, 4], [6, 5]], 1/35831808], [[[2, 6], [4, 4], [22, 1]], 1/1622016], [[[2, 6], [6, 3], [10, 3]], 1/5184000], [[[2, 6], [6, 3], [14, 2]], 121/7620480], [[[2, 6], [6, 3], [18, 2]], 1/62208], [[[2, 6], [6, 4], [22, 1]], 97/16422912], [[[2, 6], [6, 5], [10, 2]], 1/3110400], [[[2, 6], [6, 6], [14, 1]], 25/35271936], [[[2, 6], [6, 6], [18, 1]], 121/40310784], [[[2, 6], [6, 7], [10, 1]], 13/100776960], [[[2, 6], [6, 7], [12, 1]], 1/3359232], [[[2, 6], [10, 2], [22, 1]], 1/8800], [[[2, 6], [10, 3], [14, 1]], 3/28000], [[[2, 6], [10, 3], [18, 1]], 1/72000], [[[2, 6], [14, 2], [18, 1]], 1/105840], [[[2, 8], [3, 2], [6, 6]], 11/107495424], [[[2, 8], [4, 2], [6, 6]], 503/4837294080], [[[2, 8], [4, 2], [10, 3]], 1/512000], [[[2, 8], [4, 2], [14, 2]], 1/1128960], [[[2, 8], [4, 4], [6, 4]], 17/286654464], [[[2, 8], [4, 4], [10, 2]], 1/14745600], [[[2, 8], [6, 2], [10, 3]], 19/864000], [[[2, 8], [6, 2], [14, 2]], 11/1270080], [[[2, 8], [6, 2], [18, 2]], 47/52254720], [[[2, 8], [6, 3], [22, 1]], 15121/4598415360], [[[2, 8], [6, 4], [10, 2]], 103/9953280], [[[2, 8], [6, 5], [14, 1]], 65/26873856], [[[2, 8], [6, 5], [18, 1]], 12647/3762339840], [[[2, 8], [6, 6], [10, 1]], 479/403107840], [[[2, 8], [6, 6], [12, 1]], 11/17915904], [[[2, 8], [10, 1], [14, 2]], 31/3628800], [[[2, 8], [14, 1], [22, 1]], 1/7983360], [[[2, 8], [18, 1], [22, 1]], 1/63866880], [[[2, 10], [3, 2], [6, 5]], 137/10032906240], [[[2, 10], [4, 2], [6, 5]], 6131/54177693696], [[[2, 10], [4, 2], [22, 1]], 1/383201280], [[[2, 10], [4, 4], [6, 3]], 1/89579520], [[[2, 10], [4, 4], [14, 1]], 1/123863040], [[[2, 10], [6, 1], [10, 3]], 31/6912000], [[[2, 10], [6, 1], [14, 2]], 13/30481920], [[[2, 10], [6, 1], [18, 2]], 1/313528320], [[[2, 10], [6, 2], [22, 1]], 41/209018880], [[[2, 10], [6, 3], [10, 2]], 2593/516096000], [[[2, 10], [6, 4], [14, 1]], 210263/158018273280], [[[2, 10], [6, 4], [18, 1]], 19391/22574039040], [[[2, 10], [6, 5], [10, 1]], 55303/37623398400], [[[2, 10], [6, 5], [12, 1]], 137/1672151040], [[[2, 10], [10, 1], [22, 1]], 23/638668800], [[[2, 10], [10, 2], [14, 1]], 1217/677376000], [[[2, 10], [10, 2], [18, 1]], 11/193536000], [[[2, 12], [3, 2], [6, 4]], 13/22574039040], [[[2, 12], [4, 2], [6, 4]], 7367/465589555200], [[[2, 12], [4, 2], [10, 2]], 1/124416000], [[[2, 12], [4, 4], [6, 2]], 23/40131624960], [[[2, 12], [4, 4], [10, 1]], 1/3715891200], [[[2, 12], [6, 1], [22, 1]], 13/9196830720], [[[2, 12], [6, 2], [10, 2]], 3037/6967296000], [[[2, 12], [6, 3], [14, 1]], 4240387/34764020121600], [[[2, 12], [6, 3], [18, 1]], 1019/22574039040], [[[2, 12], [6, 4], [10, 1]], 26543/90296156160], [[[2, 12], [6, 4], [12, 1]], 13/3762339840], [[[2, 12], [14, 1], [18, 1]], 107/482833612800], [[[2, 14], [3, 2], [6, 3]], 7/945959731200], [[[2, 14], [4, 2], [6, 3]], 67981/95352740904960], [[[2, 14], [4, 2], [14, 1]], 23/643778150400], [[[2, 14], [4, 2], [18, 1]], 1/6621718118400], [[[2, 14], [4, 3], [8, 1]], 1/2942985830400], [[[2, 14], [4, 4], [6, 1]], 1/157659955200], [[[2, 14], [6, 1], [10, 2]], 179/27869184000], [[[2, 14], [6, 2], [14, 1]], 4853/1448500838400], [[[2, 14], [6, 2], [18, 1]], 1153/3310859059200], [[[2, 14], [6, 3], [10, 1]], 5759647/347640201216000], [[[2, 14], [6, 3], [12, 1]], 7/157659955200], [[[2, 14], [10, 1], [14, 1]], 997/1839366144000], [[[2, 14], [10, 1], [18, 1]], 47/4828336128000], [[[2, 16], [3, 2], [6, 2]], 1/30901351219200], [[[2, 16], [4, 2], [6, 2]], 2251/238381852262400], [[[2, 16], [4, 2], [10, 1]], 239/154506756096000], [[[2, 16], [6, 1], [14, 1]], 589/27811216097280], [[[2, 16], [6, 1], [18, 1]], 113/139056080486400], [[[2, 16], [6, 2], [10, 1]], 58967/231760134144000], [[[2, 16], [6, 2], [12, 1]], 1/5150225203200], [[[2, 18], [3, 2], [6, 1]], 1/22248972877824000], [[[2, 18], [4, 1], [8, 1]], 1/1589212348416000], [[[2, 18], [4, 2], [6, 1]], 353/8343364829184000], [[[2, 18], [6, 1], [10, 1]], 3547/2781121609728000], [[[2, 18], [6, 1], [12, 1]], 1/3708162146304000], [[[1, 1], [2, 3], [4, 3], [6, 7]], 1/967458816], [[[1, 1], [2, 3], [4, 5], [22, 1]], 1/811008], [[[1, 1], [2, 3], [6, 4], [14, 2]], 1/381024], [[[1, 1], [2, 3], [10, 2], [14, 2]], 1/4900], [[[1, 1], [2, 5], [3, 1], [6, 8]], 1/7558272], [[[1, 1], [2, 5], [3, 3], [6, 6]], 1/839808], [[[1, 1], [2, 5], [4, 1], [6, 8]], 1/40310784], [[[1, 1], [2, 5], [4, 2], [6, 7]], 11/107495424], [[[1, 1], [2, 5], [4, 3], [6, 6]], 31/483729408], [[[1, 1], [2, 5], [4, 3], [10, 3]], 1/768000], [[[1, 1], [2, 5], [4, 3], [14, 2]], 1/37632], [[[1, 1], [2, 5], [4, 4], [22, 1]], 1/270336], [[[1, 1], [2, 5], [4, 5], [6, 4]], 1/143327232], [[[1, 1], [2, 5], [4, 5], [10, 2]], 1/7372800], [[[1, 1], [2, 5], [6, 3], [10, 3]], 1/1728000], [[[1, 1], [2, 5], [6, 3], [14, 2]], 1/15552], [[[1, 1], [2, 5], [6, 3], [18, 2]], 1/15552], [[[1, 1], [2, 5], [6, 4], [22, 1]], 25/1368576], [[[1, 1], [2, 5], [6, 5], [10, 2]], 1/1866240], [[[1, 1], [2, 5], [6, 6], [14, 1]], 19/11757312], [[[1, 1], [2, 5], [6, 6], [18, 1]], 1/124416], [[[1, 1], [2, 5], [6, 7], [8, 1]], 1/161243136], [[[1, 1], [2, 5], [6, 7], [10, 1]], 1/50388480], [[[1, 1], [2, 5], [10, 2], [22, 1]], 3/8800], [[[1, 1], [2, 5], [10, 3], [14, 1]], 1/4000], [[[1, 1], [2, 5], [10, 3], [18, 1]], 1/24000], [[[1, 1], [2, 5], [14, 2], [18, 1]], 1/10584], [[[1, 1], [2, 7], [3, 1], [6, 7]], 611/483729408], [[[1, 1], [2, 7], [3, 2], [6, 6]], 1/2985984], [[[1, 1], [2, 7], [3, 3], [6, 5]], 83/53747712], [[[1, 1], [2, 7], [4, 1], [6, 7]], 355/1289945088], [[[1, 1], [2, 7], [4, 2], [6, 6]], 5/11943936], [[[1, 1], [2, 7], [4, 2], [10, 3]], 7/768000], [[[1, 1], [2, 7], [4, 2], [14, 2]], 1/112896], [[[1, 1], [2, 7], [4, 3], [6, 5]], 1981/3224862720], [[[1, 1], [2, 7], [4, 3], [22, 1]], 1013/218972160], [[[1, 1], [2, 7], [4, 4], [6, 4]], 1/5308416], [[[1, 1], [2, 7], [4, 4], [8, 2]], 1/1179648], [[[1, 1], [2, 7], [4, 4], [10, 2]], 7/14745600], [[[1, 1], [2, 7], [4, 5], [6, 3]], 7/17915904], [[[1, 1], [2, 7], [4, 5], [14, 1]], 1/3870720], [[[1, 1], [2, 7], [5, 1], [10, 3]], 1/16000], [[[1, 1], [2, 7], [6, 2], [10, 3]], 1/16000], [[[1, 1], [2, 7], [6, 2], [14, 2]], 83/1270080], [[[1, 1], [2, 7], [6, 2], [18, 2]], 17/1244160], [[[1, 1], [2, 7], [6, 3], [22, 1]], 2521/109486080], [[[1, 1], [2, 7], [6, 4], [10, 2]], 2861/149299200], [[[1, 1], [2, 7], [6, 5], [14, 1]], 733/62705664], [[[1, 1], [2, 7], [6, 5], [18, 1]], 193/9953280], [[[1, 1], [2, 7], [6, 6], [8, 1]], 5/10077696], [[[1, 1], [2, 7], [6, 6], [10, 1]], 319/100776960], [[[1, 1], [2, 7], [6, 6], [12, 1]], 1/497664], [[[1, 1], [2, 7], [8, 1], [10, 3]], 3/128000], [[[1, 1], [2, 7], [8, 1], [14, 2]], 1/94080], [[[1, 1], [2, 7], [10, 1], [14, 2]], 67/705600], [[[1, 1], [2, 7], [14, 1], [22, 1]], 1/221760], [[[1, 1], [2, 7], [18, 1], [22, 1]], 1/1520640], [[[1, 1], [2, 9], [3, 1], [6, 6]], 92737/45148078080], [[[1, 1], [2, 9], [3, 2], [6, 5]], 49/238878720], [[[1, 1], [2, 9], [3, 3], [6, 4]], 617/5016453120], [[[1, 1], [2, 9], [4, 1], [6, 6]], 1037/1074954240], [[[1, 1], [2, 9], [4, 1], [10, 3]], 53/3072000], [[[1, 1], [2, 9], [4, 1], [14, 2]], 11/4064256], [[[1, 1], [2, 9], [4, 2], [6, 5]], 6403/10032906240], [[[1, 1], [2, 9], [4, 2], [22, 1]], 1/9123840], [[[1, 1], [2, 9], [4, 3], [6, 4]], 24797/19349176320], [[[1, 1], [2, 9], [4, 3], [10, 2]], 29843/13934592000], [[[1, 1], [2, 9], [4, 4], [6, 3]], 1/7962624], [[[1, 1], [2, 9], [4, 4], [14, 1]], 1/7741440], [[[1, 1], [2, 9], [4, 5], [6, 2]], 41/477757440], [[[1, 1], [2, 9], [4, 5], [8, 1]], 1/28311552], [[[1, 1], [2, 9], [4, 5], [10, 1]], 53/928972800], [[[1, 1], [2, 9], [6, 1], [10, 3]], 49/1152000], [[[1, 1], [2, 9], [6, 1], [14, 2]], 229/30481920], [[[1, 1], [2, 9], [6, 1], [18, 2]], 1/6967296], [[[1, 1], [2, 9], [6, 2], [22, 1]], 967/255467520], [[[1, 1], [2, 9], [6, 3], [10, 2]], 1633739/41803776000], [[[1, 1], [2, 9], [6, 4], [14, 1]], 209183/17557585920], [[[1, 1], [2, 9], [6, 4], [18, 1]], 8263/836075520], [[[1, 1], [2, 9], [6, 5], [8, 1]], 1091/1074954240], [[[1, 1], [2, 9], [6, 5], [10, 1]], 949/107495424], [[[1, 1], [2, 9], [6, 5], [12, 1]], 49/39813120], [[[1, 1], [2, 9], [8, 1], [22, 1]], 1/31933440], [[[1, 1], [2, 9], [10, 1], [22, 1]], 919/638668800], [[[1, 1], [2, 9], [10, 2], [14, 1]], 53939/2032128000], [[[1, 1], [2, 9], [10, 2], [18, 1]], 779/580608000], [[[1, 1], [2, 11], [3, 1], [6, 5]], 92179/135444234240], [[[1, 1], [2, 11], [3, 2], [6, 4]], 1/59719680], [[[1, 1], [2, 11], [3, 3], [6, 3]], 1/470292480], [[[1, 1], [2, 11], [4, 1], [6, 5]], 66221/90296156160], [[[1, 1], [2, 11], [4, 1], [22, 1]], 13/1362493440], [[[1, 1], [2, 11], [4, 2], [6, 4]], 2759/10749542400], [[[1, 1], [2, 11], [4, 2], [8, 2]], 1/637009920], [[[1, 1], [2, 11], [4, 2], [10, 2]], 709/3483648000], [[[1, 1], [2, 11], [4, 3], [6, 3]], 25626343/119190926131200], [[[1, 1], [2, 11], [4, 3], [14, 1]], 7751/117050572800], [[[1, 1], [2, 11], [4, 3], [18, 1]], 743/1655429529600], [[[1, 1], [2, 11], [4, 4], [6, 2]], 19/1486356480], [[[1, 1], [2, 11], [4, 4], [8, 1]], 1/990904320], [[[1, 1], [2, 11], [4, 4], [10, 1]], 1/137625600], [[[1, 1], [2, 11], [4, 5], [6, 1]], 29/5733089280], [[[1, 1], [2, 11], [5, 1], [10, 2]], 23/1161216000], [[[1, 1], [2, 11], [6, 1], [22, 1]], 13/191600640], [[[1, 1], [2, 11], [6, 2], [10, 2]], 79603/10450944000], [[[1, 1], [2, 11], [6, 3], [14, 1]], 89909/37623398400], [[[1, 1], [2, 11], [6, 3], [18, 1]], 11/10450944], [[[1, 1], [2, 11], [6, 4], [8, 1]], 14969/90296156160], [[[1, 1], [2, 11], [6, 4], [10, 1]], 7487/1763596800], [[[1, 1], [2, 11], [6, 4], [12, 1]], 1/9953280], [[[1, 1], [2, 11], [8, 1], [10, 2]], 1/10368000], [[[1, 1], [2, 11], [14, 1], [18, 1]], 43/3657830400], [[[1, 1], [2, 13], [3, 1], [6, 4]], 2861581/59595463065600], [[[1, 1], [2, 13], [3, 2], [6, 3]], 1/2675441664], [[[1, 1], [2, 13], [3, 3], [6, 2]], 41/6621718118400], [[[1, 1], [2, 13], [4, 1], [6, 4]], 789517/7946061742080], [[[1, 1], [2, 13], [4, 1], [8, 2]], 1/245248819200], [[[1, 1], [2, 13], [4, 1], [10, 2]], 4373/111476736000], [[[1, 1], [2, 13], [4, 2], [6, 3]], 9271/441447874560], [[[1, 1], [2, 13], [4, 2], [14, 1]], 11/5852528640], [[[1, 1], [2, 13], [4, 2], [18, 1]], 1/91968307200], [[[1, 1], [2, 13], [4, 3], [5, 1]], 1/1839366144000], [[[1, 1], [2, 13], [4, 3], [6, 2]], 10447/993257717760], [[[1, 1], [2, 13], [4, 3], [8, 1]], 23/133772083200], [[[1, 1], [2, 13], [4, 3], [10, 1]], 19147/5518098432000], [[[1, 1], [2, 13], [4, 3], [12, 1]], 1/1103619686400], [[[1, 1], [2, 13], [4, 4], [6, 1]], 1/3715891200], [[[1, 1], [2, 13], [6, 1], [10, 2]], 19073/83607552000], [[[1, 1], [2, 13], [6, 2], [14, 1]], 107837/965667225600], [[[1, 1], [2, 13], [6, 2], [18, 1]], 11/619315200], [[[1, 1], [2, 13], [6, 3], [8, 1]], 325601/39730308710400], [[[1, 1], [2, 13], [6, 3], [10, 1]], 21953573/49662885888000], [[[1, 1], [2, 13], [6, 3], [12, 1]], 1/445906944], [[[1, 1], [2, 13], [8, 1], [14, 1]], 23/53648179200], [[[1, 1], [2, 13], [8, 1], [18, 1]], 1/551809843200], [[[1, 1], [2, 13], [10, 1], [14, 1]], 59531/2145927168000], [[[1, 1], [2, 13], [10, 1], [18, 1]], 433/689762304000], [[[1, 1], [2, 15], [3, 1], [4, 3]], 1/4414478745600], [[[1, 1], [2, 15], [3, 1], [6, 3]], 1475/1589212348416], [[[1, 1], [2, 15], [3, 2], [6, 2]], 13/5150225203200], [[[1, 1], [2, 15], [4, 1], [6, 3]], 1644953/370816214630400], [[[1, 1], [2, 15], [4, 1], [14, 1]], 239/1716741734400], [[[1, 1], [2, 15], [4, 1], [18, 1]], 1/572247244800], [[[1, 1], [2, 15], [4, 2], [6, 2]], 11/22932357120], [[[1, 1], [2, 15], [4, 2], [8, 1]], 19/5885971660800], [[[1, 1], [2, 15], [4, 2], [10, 1]], 67/668860416000], [[[1, 1], [2, 15], [4, 3], [6, 1]], 27427/238381852262400], [[[1, 1], [2, 15], [5, 1], [10, 1]], 1/668860416000], [[[1, 1], [2, 15], [6, 1], [14, 1]], 19633/15450675609600], [[[1, 1], [2, 15], [6, 1], [18, 1]], 67/1030045040640], [[[1, 1], [2, 15], [6, 2], [8, 1]], 739/6621718118400], [[[1, 1], [2, 15], [6, 2], [10, 1]], 125311/10534551552000], [[[1, 1], [2, 15], [6, 2], [12, 1]], 13/858370867200], [[[1, 1], [2, 15], [8, 1], [10, 1]], 239/12875563008000], [[[1, 1], [2, 17], [3, 1], [6, 2]], 1087/208584120729600], [[[1, 1], [2, 17], [3, 1], [8, 1]], 1/1191909261312000], [[[1, 1], [2, 17], [3, 2], [6, 1]], 1/206009008128000], [[[1, 1], [2, 17], [4, 1], [5, 1]], 1/993257717760000], [[[1, 1], [2, 17], [4, 1], [6, 2]], 32687/556224321945600], [[[1, 1], [2, 17], [4, 1], [8, 1]], 233/1059474898944000], [[[1, 1], [2, 17], [4, 1], [10, 1]], 641/77253378048000], [[[1, 1], [2, 17], [4, 1], [12, 1]], 1/595954630656000], [[[1, 1], [2, 17], [4, 2], [6, 1]], 383/115880067072000], [[[1, 1], [2, 17], [6, 1], [8, 1]], 281/556224321945600], [[[1, 1], [2, 17], [6, 1], [10, 1]], 4633/49662885888000], [[[1, 1], [2, 17], [6, 1], [12, 1]], 1/34334834688000], [[[1, 1], [2, 19], [3, 1], [4, 1]], 1/2085841207296000], [[[1, 1], [2, 19], [3, 1], [6, 1]], 37/4171682414592000], [[[1, 1], [2, 19], [4, 1], [6, 1]], 151/556224321945600], [[[1, 2], [2, 4], [3, 1], [6, 8]], 1/90699264], [[[1, 2], [2, 4], [3, 2], [6, 7]], 17/22674816], [[[1, 2], [2, 4], [3, 3], [4, 6]], 1/191102976], [[[1, 2], [2, 4], [3, 3], [6, 6]], 29/20155392], [[[1, 2], [2, 4], [3, 3], [9, 2]], 1/559872], [[[1, 2], [2, 4], [3, 4], [6, 5]], 95/10077696], [[[1, 2], [2, 4], [3, 4], [11, 1]], 1/16422912], [[[1, 2], [2, 4], [3, 5], [6, 4]], 1/6718464], [[[1, 2], [2, 4], [3, 6], [6, 3]], 1/3359232], [[[1, 2], [2, 4], [3, 6], [9, 1]], 1/40310784], [[[1, 2], [2, 4], [4, 2], [6, 7]], 1/71663616], [[[1, 2], [2, 4], [4, 3], [6, 6]], 13/161243136], [[[1, 2], [2, 4], [4, 3], [10, 3]], 1/384000], [[[1, 2], [2, 4], [4, 4], [6, 5]], 7/71663616], [[[1, 2], [2, 4], [4, 4], [11, 1]], 1/811008], [[[1, 2], [2, 4], [4, 4], [22, 1]], 1/49152], [[[1, 2], [2, 4], [4, 5], [8, 2]], 1/98304], [[[1, 2], [2, 4], [4, 5], [10, 2]], 1/7372800], [[[1, 2], [2, 4], [4, 6], [9, 1]], 1/2654208], [[[1, 2], [2, 4], [4, 6], [14, 1]], 1/2064384], [[[1, 2], [2, 4], [5, 1], [6, 7]], 1/50388480], [[[1, 2], [2, 4], [6, 3], [10, 3]], 1/1728000], [[[1, 2], [2, 4], [6, 3], [14, 2]], 25/508032], [[[1, 2], [2, 4], [6, 3], [18, 2]], 1/31104], [[[1, 2], [2, 4], [6, 4], [22, 1]], 1/912384], [[[1, 2], [2, 4], [6, 5], [10, 2]], 1/4665600], [[[1, 2], [2, 4], [6, 6], [18, 1]], 1/2239488], [[[1, 2], [2, 4], [6, 7], [8, 1]], 1/80621568], [[[1, 2], [2, 4], [6, 7], [10, 1]], 1/100776960], [[[1, 2], [2, 4], [8, 2], [11, 1]], 1/33792], [[[1, 2], [2, 4], [8, 2], [22, 1]], 1/11264], [[[1, 2], [2, 4], [10, 2], [22, 1]], 3/8800], [[[1, 2], [2, 4], [10, 3], [14, 1]], 1/5600], [[[1, 2], [2, 4], [10, 3], [18, 1]], 1/24000], [[[1, 2], [2, 4], [14, 2], [18, 1]], 1/7056], [[[1, 2], [2, 6], [3, 1], [6, 7]], 2279/725594112], [[[1, 2], [2, 6], [3, 2], [6, 6]], 35741/2902376448], [[[1, 2], [2, 6], [3, 2], [9, 2]], 1/22394880], [[[1, 2], [2, 6], [3, 2], [10, 3]], 1/144000], [[[1, 2], [2, 6], [3, 3], [6, 5]], 337/40310784], [[[1, 2], [2, 6], [3, 3], [11, 1]], 1/656916480], [[[1, 2], [2, 6], [3, 4], [6, 4]], 1771/161243136], [[[1, 2], [2, 6], [3, 5], [6, 3]], 1/26873856], [[[1, 2], [2, 6], [3, 5], [9, 1]], 1/1612431360], [[[1, 2], [2, 6], [3, 6], [6, 2]], 1/107495424], [[[1, 2], [2, 6], [4, 1], [6, 7]], 221/322486272], [[[1, 2], [2, 6], [4, 2], [6, 6]], 131/107495424], [[[1, 2], [2, 6], [4, 2], [8, 3]], 1/49152], [[[1, 2], [2, 6], [4, 2], [10, 3]], 23/768000], [[[1, 2], [2, 6], [4, 2], [14, 2]], 1/10752], [[[1, 2], [2, 6], [4, 3], [6, 5]], 367/214990848], [[[1, 2], [2, 6], [4, 3], [22, 1]], 203/6082560], [[[1, 2], [2, 6], [4, 4], [6, 4]], 1037/1433272320], [[[1, 2], [2, 6], [4, 4], [8, 2]], 1/196608], [[[1, 2], [2, 6], [4, 4], [10, 2]], 11/2949120], [[[1, 2], [2, 6], [4, 5], [6, 3]], 5/11943936], [[[1, 2], [2, 6], [4, 5], [14, 1]], 5/3096576], [[[1, 2], [2, 6], [4, 6], [6, 2]], 7/10616832], [[[1, 2], [2, 6], [4, 6], [8, 1]], 5/7077888], [[[1, 2], [2, 6], [4, 6], [10, 1]], 1/8847360], [[[1, 2], [2, 6], [5, 1], [6, 6]], 1/6298560], [[[1, 2], [2, 6], [5, 1], [10, 3]], 11/40000], [[[1, 2], [2, 6], [6, 2], [10, 3]], 1/16000], [[[1, 2], [2, 6], [6, 2], [14, 2]], 13/84672], [[[1, 2], [2, 6], [6, 2], [18, 2]], 127/2488320], [[[1, 2], [2, 6], [6, 3], [22, 1]], 3367/72990720], [[[1, 2], [2, 6], [6, 4], [8, 2]], 1/1990656], [[[1, 2], [2, 6], [6, 4], [10, 2]], 1039/74649600], [[[1, 2], [2, 6], [6, 5], [14, 1]], 139/10450944], [[[1, 2], [2, 6], [6, 5], [18, 1]], 1829/59719680], [[[1, 2], [2, 6], [6, 6], [8, 1]], 5/20155392], [[[1, 2], [2, 6], [6, 6], [10, 1]], 157/201553920], [[[1, 2], [2, 6], [6, 6], [12, 1]], 1/2985984], [[[1, 2], [2, 6], [8, 1], [10, 3]], 1/12800], [[[1, 2], [2, 6], [8, 1], [14, 2]], 1/9408], [[[1, 2], [2, 6], [8, 2], [10, 2]], 1/102400], [[[1, 2], [2, 6], [9, 1], [11, 1]], 1/9123840], [[[1, 2], [2, 6], [10, 1], [14, 2]], 1/4480], [[[1, 2], [2, 6], [14, 1], [22, 1]], 1/29568], [[[1, 2], [2, 6], [18, 1], [22, 1]], 7/1013760], [[[1, 2], [2, 8], [3, 1], [6, 6]], 67279/5804752896], [[[1, 2], [2, 8], [3, 1], [10, 3]], 1/192000], [[[1, 2], [2, 8], [3, 1], [14, 2]], 1/423360], [[[1, 2], [2, 8], [3, 2], [6, 5]], 1076737/67722117120], [[[1, 2], [2, 8], [3, 2], [22, 1]], 1/82114560], [[[1, 2], [2, 8], [3, 3], [4, 4]], 1/3822059520], [[[1, 2], [2, 8], [3, 3], [6, 4]], 33047/12899450880], [[[1, 2], [2, 8], [3, 4], [6, 3]], 1861/6019743744], [[[1, 2], [2, 8], [3, 5], [6, 2]], 1/4299816960], [[[1, 2], [2, 8], [4, 1], [6, 6]], 2975/644972544], [[[1, 2], [2, 8], [4, 1], [10, 3]], 11/102400], [[[1, 2], [2, 8], [4, 1], [14, 2]], 19/564480], [[[1, 2], [2, 8], [4, 2], [6, 5]], 1405/286654464], [[[1, 2], [2, 8], [4, 2], [11, 1]], 1/16220160], [[[1, 2], [2, 8], [4, 2], [22, 1]], 31/3244032], [[[1, 2], [2, 8], [4, 3], [6, 4]], 8737/1881169920], [[[1, 2], [2, 8], [4, 3], [8, 2]], 239/53084160], [[[1, 2], [2, 8], [4, 3], [10, 2]], 211031/13934592000], [[[1, 2], [2, 8], [4, 4], [6, 3]], 205349/40131624960], [[[1, 2], [2, 8], [4, 4], [9, 1]], 1/53084160], [[[1, 2], [2, 8], [4, 4], [14, 1]], 2039/557383680], [[[1, 2], [2, 8], [4, 4], [18, 1]], 53/557383680], [[[1, 2], [2, 8], [4, 5], [6, 2]], 23/31850496], [[[1, 2], [2, 8], [4, 5], [8, 1]], 1/1572864], [[[1, 2], [2, 8], [4, 5], [10, 1]], 23/44236800], [[[1, 2], [2, 8], [4, 6], [6, 1]], 1/6635520], [[[1, 2], [2, 8], [5, 1], [6, 5]], 101/335923200], [[[1, 2], [2, 8], [5, 1], [22, 1]], 1/22809600], [[[1, 2], [2, 8], [6, 1], [10, 3]], 11/92160], [[[1, 2], [2, 8], [6, 1], [14, 2]], 73/1693440], [[[1, 2], [2, 8], [6, 1], [18, 2]], 1/552960], [[[1, 2], [2, 8], [6, 2], [22, 1]], 269/12165120], [[[1, 2], [2, 8], [6, 3], [8, 2]], 1/995328], [[[1, 2], [2, 8], [6, 3], [10, 2]], 3427379/41803776000], [[[1, 2], [2, 8], [6, 4], [14, 1]], 29837/836075520], [[[1, 2], [2, 8], [6, 4], [18, 1]], 13571/358318080], [[[1, 2], [2, 8], [6, 5], [8, 1]], 4057/1074954240], [[[1, 2], [2, 8], [6, 5], [10, 1]], 84961/5374771200], [[[1, 2], [2, 8], [6, 5], [12, 1]], 967/238878720], [[[1, 2], [2, 8], [8, 1], [22, 1]], 23/18247680], [[[1, 2], [2, 8], [8, 2], [14, 1]], 1/860160], [[[1, 2], [2, 8], [10, 1], [22, 1]], 1307/91238400], [[[1, 2], [2, 8], [10, 2], [14, 1]], 961/8294400], [[[1, 2], [2, 8], [10, 2], [18, 1]], 5219/580608000], [[[1, 2], [2, 10], [3, 1], [6, 5]], 642527/81266540544], [[[1, 2], [2, 10], [3, 1], [22, 1]], 1/143700480], [[[1, 2], [2, 10], [3, 2], [6, 4]], 1157237/406332702720], [[[1, 2], [2, 10], [3, 2], [10, 2]], 151/5225472000], [[[1, 2], [2, 10], [3, 3], [6, 3]], 3251/45148078080], [[[1, 2], [2, 10], [3, 4], [6, 2]], 1/11287019520], [[[1, 2], [2, 10], [4, 1], [6, 5]], 36241/6019743744], [[[1, 2], [2, 10], [4, 1], [22, 1]], 211/510935040], [[[1, 2], [2, 10], [4, 2], [6, 4]], 2381/418037760], [[[1, 2], [2, 10], [4, 2], [8, 2]], 29/371589120], [[[1, 2], [2, 10], [4, 2], [10, 2]], 13123/1327104000], [[[1, 2], [2, 10], [4, 3], [6, 3]], 4877023/1805923123200], [[[1, 2], [2, 10], [4, 3], [14, 1]], 10159/8360755200], [[[1, 2], [2, 10], [4, 3], [18, 1]], 383/25082265600], [[[1, 2], [2, 10], [4, 4], [5, 1]], 1/619315200], [[[1, 2], [2, 10], [4, 4], [6, 2]], 5099/5016453120], [[[1, 2], [2, 10], [4, 4], [8, 1]], 4219/13377208320], [[[1, 2], [2, 10], [4, 4], [10, 1]], 2509/3344302080], [[[1, 2], [2, 10], [4, 4], [12, 1]], 1/371589120], [[[1, 2], [2, 10], [4, 5], [6, 1]], 19/222953472], [[[1, 2], [2, 10], [5, 1], [6, 4]], 121/881798400], [[[1, 2], [2, 10], [5, 1], [10, 2]], 2657/2903040000], [[[1, 2], [2, 10], [6, 1], [22, 1]], 257/255467520], [[[1, 2], [2, 10], [6, 2], [8, 2]], 1/13271040], [[[1, 2], [2, 10], [6, 2], [10, 2]], 225509/5225472000], [[[1, 2], [2, 10], [6, 3], [14, 1]], 455143/29262643200], [[[1, 2], [2, 10], [6, 3], [18, 1]], 533/62705664], [[[1, 2], [2, 10], [6, 4], [8, 1]], 107021/45148078080], [[[1, 2], [2, 10], [6, 4], [10, 1]], 545491/28217548800], [[[1, 2], [2, 10], [6, 4], [12, 1]], 19/19906560], [[[1, 2], [2, 10], [8, 1], [10, 2]], 179/77414400], [[[1, 2], [2, 10], [8, 2], [10, 1]], 1/25804800], [[[1, 2], [2, 10], [14, 1], [18, 1]], 83/406425600], [[[1, 2], [2, 12], [3, 1], [4, 4]], 2971/4414478745600], [[[1, 2], [2, 12], [3, 1], [6, 4]], 40730047/35757277839360], [[[1, 2], [2, 12], [3, 1], [8, 2]], 1/183936614400], [[[1, 2], [2, 12], [3, 1], [10, 2]], 1/46656000], [[[1, 2], [2, 12], [3, 2], [6, 3]], 6658423/89393194598400], [[[1, 2], [2, 12], [3, 2], [14, 1]], 1/6270566400], [[[1, 2], [2, 12], [3, 2], [18, 1]], 1/620786073600], [[[1, 2], [2, 12], [3, 3], [6, 2]], 307/794606174208], [[[1, 2], [2, 12], [3, 4], [6, 1]], 1/4966288588800], [[[1, 2], [2, 12], [4, 1], [6, 4]], 101999/56435097600], [[[1, 2], [2, 12], [4, 1], [8, 2]], 23/11147673600], [[[1, 2], [2, 12], [4, 1], [10, 2]], 1025/891813888], [[[1, 2], [2, 12], [4, 2], [6, 3]], 3497957/3783838924800], [[[1, 2], [2, 12], [4, 2], [14, 1]], 103/637009920], [[[1, 2], [2, 12], [4, 2], [18, 1]], 133/52553318400], [[[1, 2], [2, 12], [4, 3], [5, 1]], 1/27869184000], [[[1, 2], [2, 12], [4, 3], [6, 2]], 827159/3310859059200], [[[1, 2], [2, 12], [4, 3], [8, 1]], 35641/2942985830400], [[[1, 2], [2, 12], [4, 3], [10, 1]], 2033/19160064000], [[[1, 2], [2, 12], [4, 3], [12, 1]], 1/16721510400], [[[1, 2], [2, 12], [4, 4], [6, 1]], 21157/401316249600], [[[1, 2], [2, 12], [5, 1], [6, 3]], 119681/12415721472000], [[[1, 2], [2, 12], [5, 1], [14, 1]], 1/1741824000], [[[1, 2], [2, 12], [5, 1], [18, 1]], 1/172440576000], [[[1, 2], [2, 12], [6, 1], [8, 2]], 1/1114767360], [[[1, 2], [2, 12], [6, 1], [10, 2]], 1651/597196800], [[[1, 2], [2, 12], [6, 2], [14, 1]], 5053/3657830400], [[[1, 2], [2, 12], [6, 2], [18, 1]], 5/16515072], [[[1, 2], [2, 12], [6, 3], [8, 1]], 2224657/9932577177600], [[[1, 2], [2, 12], [6, 3], [10, 1]], 12933763/3103930368000], [[[1, 2], [2, 12], [6, 3], [12, 1]], 169/4180377600], [[[1, 2], [2, 12], [8, 1], [14, 1]], 71/3251404800], [[[1, 2], [2, 12], [8, 1], [18, 1]], 17/137952460800], [[[1, 2], [2, 12], [10, 1], [14, 1]], 5239/11147673600], [[[1, 2], [2, 12], [10, 1], [18, 1]], 89/6158592000], [[[1, 2], [2, 14], [3, 1], [4, 3]], 1/63063982080], [[[1, 2], [2, 14], [3, 1], [6, 3]], 140575/3575727783936], [[[1, 2], [2, 14], [3, 1], [14, 1]], 23/241416806400], [[[1, 2], [2, 14], [3, 1], [18, 1]], 1/2483144294400], [[[1, 2], [2, 14], [3, 2], [4, 2]], 1/945959731200], [[[1, 2], [2, 14], [3, 2], [6, 2]], 11531/34054550323200], [[[1, 2], [2, 14], [3, 2], [10, 1]], 1/147806208000], [[[1, 2], [2, 14], [3, 3], [6, 1]], 1/19865154355200], [[[1, 2], [2, 14], [4, 1], [6, 3]], 10969657/79460617420800], [[[1, 2], [2, 14], [4, 1], [14, 1]], 9791/1287556300800], [[[1, 2], [2, 14], [4, 1], [18, 1]], 137/1103619686400], [[[1, 2], [2, 14], [4, 2], [5, 1]], 19/3678732288000], [[[1, 2], [2, 14], [4, 2], [6, 2]], 53323/1261279641600], [[[1, 2], [2, 14], [4, 2], [8, 1]], 179/235438866432], [[[1, 2], [2, 14], [4, 2], [10, 1]], 28531/2452488192000], [[[1, 2], [2, 14], [4, 2], [12, 1]], 17/2207239372800], [[[1, 2], [2, 14], [4, 3], [6, 1]], 6667/1324343623680], [[[1, 2], [2, 14], [5, 1], [6, 2]], 149/1034643456000], [[[1, 2], [2, 14], [5, 1], [10, 1]], 1747/12262440960000], [[[1, 2], [2, 14], [6, 1], [14, 1]], 142867/5150225203200], [[[1, 2], [2, 14], [6, 1], [18, 1]], 4327/2207239372800], [[[1, 2], [2, 14], [6, 2], [8, 1]], 36107/6621718118400], [[[1, 2], [2, 14], [6, 2], [10, 1]], 6735191/33108590592000], [[[1, 2], [2, 14], [6, 2], [12, 1]], 331/735746457600], [[[1, 2], [2, 14], [8, 1], [10, 1]], 431/367873228800], [[[1, 2], [2, 16], [3, 1], [4, 2]], 871/370816214630400], [[[1, 2], [2, 16], [3, 1], [6, 2]], 93043/250300944875520], [[[1, 2], [2, 16], [3, 1], [8, 1]], 17/198651543552000], [[[1, 2], [2, 16], [3, 1], [10, 1]], 239/57940033536000], [[[1, 2], [2, 16], [3, 2], [6, 1]], 40181/100120377950208000], [[[1, 2], [2, 16], [4, 1], [5, 1]], 17/165542952960000], [[[1, 2], [2, 16], [4, 1], [6, 2]], 569839/185408107315200], [[[1, 2], [2, 16], [4, 1], [8, 1]], 437/22889889792000], [[[1, 2], [2, 16], [4, 1], [10, 1]], 5737/10300450406400], [[[1, 2], [2, 16], [4, 1], [12, 1]], 17/99325771776000], [[[1, 2], [2, 16], [4, 2], [6, 1]], 39829/88289574912000], [[[1, 2], [2, 16], [5, 1], [6, 1]], 17/24831442944000], [[[1, 2], [2, 16], [6, 1], [8, 1]], 10721/278112160972800], [[[1, 2], [2, 16], [6, 1], [10, 1]], 727603/278112160972800], [[[1, 2], [2, 16], [6, 1], [12, 1]], 29/22889889792000], [[[1, 2], [2, 18], [3, 1], [4, 1]], 17/333734593167360], [[[1, 2], [2, 18], [3, 1], [6, 1]], 47903/50060188975104000], [[[1, 2], [2, 18], [4, 1], [6, 1]], 59569/2781121609728000], [[[1, 2], [3, 2], [7, 1], [9, 2]], 1/3402], [[[1, 2], [3, 3], [4, 2], [9, 2]], 1/46656], [[[1, 2], [3, 3], [5, 1], [7, 2]], 1/317520], [[[1, 2], [3, 3], [7, 1], [11, 1]], 1/99792], [[[1, 2], [3, 4], [4, 2], [11, 1]], 1/1368576], [[[1, 2], [3, 5], [7, 1], [9, 1]], 1/244944], [[[1, 2], [3, 6], [4, 2], [9, 1]], 1/3359232], [[[1, 2], [5, 1], [7, 2], [9, 1]], 1/4410], [[[1, 2], [7, 1], [9, 1], [11, 1]], 1/1386], [[[1, 3], [2, 1], [3, 4], [7, 2]], 1/381024], [[[1, 3], [2, 1], [3, 7], [4, 3]], 1/967458816], [[[1, 3], [2, 1], [4, 5], [11, 1]], 1/811008], [[[1, 3], [2, 1], [5, 2], [7, 2]], 1/4900], [[[1, 3], [2, 3], [3, 2], [6, 7]], 1/5038848], [[[1, 3], [2, 3], [3, 3], [5, 3]], 1/5184000], [[[1, 3], [2, 3], [3, 3], [6, 6]], 5/5038848], [[[1, 3], [2, 3], [3, 3], [9, 2]], 1/46656], [[[1, 3], [2, 3], [3, 4], [4, 5]], 1/23887872], [[[1, 3], [2, 3], [3, 4], [6, 5]], 1/93312], [[[1, 3], [2, 3], [3, 4], [11, 1]], 1/1368576], [[[1, 3], [2, 3], [3, 5], [4, 4]], 1/71663616], [[[1, 3], [2, 3], [3, 5], [6, 4]], 1/93312], [[[1, 3], [2, 3], [3, 6], [6, 3]], 5/5038848], [[[1, 3], [2, 3], [3, 6], [9, 1]], 1/3359232], [[[1, 3], [2, 3], [3, 7], [6, 2]], 1/5038848], [[[1, 3], [2, 3], [3, 7], [8, 1]], 1/483729408], [[[1, 3], [2, 3], [4, 3], [5, 3]], 1/768000], [[[1, 3], [2, 3], [4, 3], [8, 3]], 1/8192], [[[1, 3], [2, 3], [4, 3], [10, 3]], 1/768000], [[[1, 3], [2, 3], [4, 4], [6, 5]], 1/71663616], [[[1, 3], [2, 3], [4, 4], [11, 1]], 1/135168], [[[1, 3], [2, 3], [4, 4], [22, 1]], 1/135168], [[[1, 3], [2, 3], [4, 5], [6, 4]], 1/23887872], [[[1, 3], [2, 3], [4, 7], [8, 1]], 1/1179648], [[[1, 3], [2, 3], [5, 2], [11, 1]], 1/8800], [[[1, 3], [2, 3], [5, 3], [7, 1]], 1/28000], [[[1, 3], [2, 3], [5, 3], [9, 1]], 1/72000], [[[1, 3], [2, 3], [6, 3], [10, 3]], 1/5184000], [[[1, 3], [2, 3], [6, 3], [18, 2]], 1/46656], [[[1, 3], [2, 3], [6, 4], [22, 1]], 1/1368576], [[[1, 3], [2, 3], [6, 6], [18, 1]], 1/3359232], [[[1, 3], [2, 3], [6, 7], [8, 1]], 1/483729408], [[[1, 3], [2, 3], [8, 2], [11, 1]], 1/5632], [[[1, 3], [2, 3], [8, 2], [22, 1]], 1/5632], [[[1, 3], [2, 3], [10, 2], [22, 1]], 1/8800], [[[1, 3], [2, 3], [10, 3], [14, 1]], 1/28000], [[[1, 3], [2, 3], [10, 3], [18, 1]], 1/72000], [[[1, 3], [2, 5], [3, 1], [6, 7]], 31/80621568], [[[1, 3], [2, 5], [3, 2], [4, 6]], 1/10616832], [[[1, 3], [2, 5], [3, 2], [6, 6]], 2401/120932352], [[[1, 3], [2, 5], [3, 2], [9, 2]], 1/248832], [[[1, 3], [2, 5], [3, 2], [10, 3]], 1/72000], [[[1, 3], [2, 5], [3, 3], [4, 5]], 5/63700992], [[[1, 3], [2, 5], [3, 3], [6, 5]], 4697/80621568], [[[1, 3], [2, 5], [3, 3], [11, 1]], 25/21897216], [[[1, 3], [2, 5], [3, 4], [5, 2]], 1/149299200], [[[1, 3], [2, 5], [3, 4], [6, 4]], 769/13436928], [[[1, 3], [2, 5], [3, 5], [6, 3]], 181/17915904], [[[1, 3], [2, 5], [3, 5], [7, 1]], 1/62705664], [[[1, 3], [2, 5], [3, 5], [9, 1]], 1/1990656], [[[1, 3], [2, 5], [3, 6], [6, 2]], 11/80621568], [[[1, 3], [2, 5], [3, 7], [4, 1]], 1/19349176320], [[[1, 3], [2, 5], [3, 7], [6, 1]], 1/161243136], [[[1, 3], [2, 5], [4, 1], [6, 7]], 19/1934917632], [[[1, 3], [2, 5], [4, 2], [6, 6]], 73/107495424], [[[1, 3], [2, 5], [4, 2], [8, 3]], 1/8192], [[[1, 3], [2, 5], [4, 2], [10, 3]], 31/768000], [[[1, 3], [2, 5], [4, 2], [14, 2]], 1/6272], [[[1, 3], [2, 5], [4, 3], [6, 5]], 145/71663616], [[[1, 3], [2, 5], [4, 3], [11, 1]], 409/24330240], [[[1, 3], [2, 5], [4, 3], [22, 1]], 23/270336], [[[1, 3], [2, 5], [4, 4], [5, 2]], 1/7372800], [[[1, 3], [2, 5], [4, 4], [6, 4]], 145/71663616], [[[1, 3], [2, 5], [4, 4], [8, 2]], 119/1179648], [[[1, 3], [2, 5], [4, 4], [10, 2]], 109/14745600], [[[1, 3], [2, 5], [4, 5], [6, 3]], 49/191102976], [[[1, 3], [2, 5], [4, 5], [7, 1]], 1/2064384], [[[1, 3], [2, 5], [4, 5], [9, 1]], 5/884736], [[[1, 3], [2, 5], [4, 5], [14, 1]], 1/98304], [[[1, 3], [2, 5], [4, 5], [18, 1]], 1/2654208], [[[1, 3], [2, 5], [4, 6], [5, 1]], 1/2949120], [[[1, 3], [2, 5], [4, 6], [6, 2]], 1/10616832], [[[1, 3], [2, 5], [4, 6], [8, 1]], 1/196608], [[[1, 3], [2, 5], [4, 6], [10, 1]], 1/2949120], [[[1, 3], [2, 5], [4, 7], [6, 1]], 1/1769472], [[[1, 3], [2, 5], [5, 1], [6, 6]], 1/2099520], [[[1, 3], [2, 5], [5, 1], [10, 3]], 17/40000], [[[1, 3], [2, 5], [5, 2], [8, 2]], 1/307200], [[[1, 3], [2, 5], [5, 2], [10, 2]], 1/4000], [[[1, 3], [2, 5], [5, 3], [8, 1]], 1/384000], [[[1, 3], [2, 5], [5, 3], [10, 1]], 1/16000], [[[1, 3], [2, 5], [6, 2], [10, 3]], 11/432000], [[[1, 3], [2, 5], [6, 2], [14, 2]], 1/9408], [[[1, 3], [2, 5], [6, 2], [18, 2]], 25/373248], [[[1, 3], [2, 5], [6, 3], [22, 1]], 89/3649536], [[[1, 3], [2, 5], [6, 4], [8, 2]], 1/995328], [[[1, 3], [2, 5], [6, 4], [10, 2]], 133/24883200], [[[1, 3], [2, 5], [6, 5], [14, 1]], 19/31352832], [[[1, 3], [2, 5], [6, 5], [18, 1]], 11/995328], [[[1, 3], [2, 5], [6, 6], [8, 1]], 19/60466176], [[[1, 3], [2, 5], [6, 6], [10, 1]], 11/33592320], [[[1, 3], [2, 5], [6, 6], [12, 1]], 1/4478976], [[[1, 3], [2, 5], [8, 1], [10, 3]], 17/192000], [[[1, 3], [2, 5], [8, 1], [14, 2]], 1/6272], [[[1, 3], [2, 5], [8, 2], [10, 2]], 3/102400], [[[1, 3], [2, 5], [9, 1], [11, 1]], 1/304128], [[[1, 3], [2, 5], [10, 1], [14, 2]], 1/6720], [[[1, 3], [2, 5], [14, 1], [22, 1]], 1/14784], [[[1, 3], [2, 5], [18, 1], [22, 1]], 1/50688], [[[1, 3], [2, 7], [3, 1], [6, 6]], 12407/716636160], [[[1, 3], [2, 7], [3, 1], [9, 2]], 1/14929920], [[[1, 3], [2, 7], [3, 1], [10, 3]], 7/288000], [[[1, 3], [2, 7], [3, 1], [14, 2]], 1/42336], [[[1, 3], [2, 7], [3, 2], [6, 5]], 493051/6449725440], [[[1, 3], [2, 7], [3, 2], [11, 1]], 1/36495360], [[[1, 3], [2, 7], [3, 2], [22, 1]], 1/2280960], [[[1, 3], [2, 7], [3, 3], [4, 4]], 1/191102976], [[[1, 3], [2, 7], [3, 3], [5, 2]], 1/5971968000], [[[1, 3], [2, 7], [3, 3], [6, 4]], 79777/1612431360], [[[1, 3], [2, 7], [3, 4], [4, 3]], 1/358318080], [[[1, 3], [2, 7], [3, 4], [6, 3]], 2161/358318080], [[[1, 3], [2, 7], [3, 4], [7, 1]], 1/2508226560], [[[1, 3], [2, 7], [3, 4], [9, 1]], 13/1074954240], [[[1, 3], [2, 7], [3, 5], [4, 2]], 1/1433272320], [[[1, 3], [2, 7], [3, 5], [6, 2]], 221/716636160], [[[1, 3], [2, 7], [3, 6], [6, 1]], 1/6449725440], [[[1, 3], [2, 7], [4, 1], [5, 3]], 1/15360000], [[[1, 3], [2, 7], [4, 1], [6, 6]], 5413/967458816], [[[1, 3], [2, 7], [4, 1], [8, 3]], 1/98304], [[[1, 3], [2, 7], [4, 1], [10, 3]], 221/1024000], [[[1, 3], [2, 7], [4, 1], [14, 2]], 121/1128960], [[[1, 3], [2, 7], [4, 2], [6, 5]], 4247/286654464], [[[1, 3], [2, 7], [4, 2], [11, 1]], 13/8110080], [[[1, 3], [2, 7], [4, 2], [22, 1]], 629/8110080], [[[1, 3], [2, 7], [4, 3], [6, 4]], 2051/179159040], [[[1, 3], [2, 7], [4, 3], [8, 2]], 47/983040], [[[1, 3], [2, 7], [4, 3], [10, 2]], 5953/110592000], [[[1, 3], [2, 7], [4, 4], [6, 3]], 13679/1433272320], [[[1, 3], [2, 7], [4, 4], [9, 1]], 1/2654208], [[[1, 3], [2, 7], [4, 4], [14, 1]], 347/15482880], [[[1, 3], [2, 7], [4, 4], [18, 1]], 23/19906560], [[[1, 3], [2, 7], [4, 5], [5, 1]], 1/2949120], [[[1, 3], [2, 7], [4, 5], [6, 2]], 287/31850496], [[[1, 3], [2, 7], [4, 5], [8, 1]], 7259/637009920], [[[1, 3], [2, 7], [4, 5], [10, 1]], 19/4423680], [[[1, 3], [2, 7], [4, 5], [12, 1]], 1/589824], [[[1, 3], [2, 7], [4, 6], [6, 1]], 5/5308416], [[[1, 3], [2, 7], [5, 1], [6, 5]], 41/22394880], [[[1, 3], [2, 7], [5, 1], [11, 1]], 1/10137600], [[[1, 3], [2, 7], [5, 1], [22, 1]], 1/633600], [[[1, 3], [2, 7], [5, 2], [7, 1]], 1/32256000], [[[1, 3], [2, 7], [5, 2], [9, 1]], 1/82944000], [[[1, 3], [2, 7], [6, 1], [10, 3]], 259/1728000], [[[1, 3], [2, 7], [6, 1], [14, 2]], 11/112896], [[[1, 3], [2, 7], [6, 1], [18, 2]], 41/4976640], [[[1, 3], [2, 7], [6, 2], [22, 1]], 1883/36495360], [[[1, 3], [2, 7], [6, 3], [8, 2]], 5/995328], [[[1, 3], [2, 7], [6, 3], [10, 2]], 16777/221184000], [[[1, 3], [2, 7], [6, 4], [14, 1]], 99227/2508226560], [[[1, 3], [2, 7], [6, 4], [18, 1]], 62839/1074954240], [[[1, 3], [2, 7], [6, 5], [8, 1]], 4123/1612431360], [[[1, 3], [2, 7], [6, 5], [10, 1]], 31/3317760], [[[1, 3], [2, 7], [6, 5], [12, 1]], 115/35831808], [[[1, 3], [2, 7], [8, 1], [11, 1]], 1/3041280], [[[1, 3], [2, 7], [8, 1], [22, 1]], 31/2488320], [[[1, 3], [2, 7], [8, 2], [14, 1]], 1/71680], [[[1, 3], [2, 7], [10, 1], [22, 1]], 491/10137600], [[[1, 3], [2, 7], [10, 2], [14, 1]], 917/4608000], [[[1, 3], [2, 7], [10, 2], [18, 1]], 593/27648000], [[[1, 3], [2, 9], [3, 1], [4, 5]], 211/1486356480], [[[1, 3], [2, 9], [3, 1], [6, 5]], 446893/15049359360], [[[1, 3], [2, 9], [3, 1], [22, 1]], 1/3421440], [[[1, 3], [2, 9], [3, 2], [4, 4]], 1/212336640], [[[1, 3], [2, 9], [3, 2], [6, 4]], 1580311/45148078080], [[[1, 3], [2, 9], [3, 2], [10, 2]], 3427/5225472000], [[[1, 3], [2, 9], [3, 3], [4, 3]], 1/2293235712], [[[1, 3], [2, 9], [3, 3], [6, 3]], 9083/4514807808], [[[1, 3], [2, 9], [3, 4], [6, 2]], 79/5016453120], [[[1, 3], [2, 9], [4, 1], [6, 5]], 220889/12899450880], [[[1, 3], [2, 9], [4, 1], [11, 1]], 1/64880640], [[[1, 3], [2, 9], [4, 1], [22, 1]], 1381/278691840], [[[1, 3], [2, 9], [4, 2], [5, 2]], 1/147456000], [[[1, 3], [2, 9], [4, 2], [6, 4]], 7919/278691840], [[[1, 3], [2, 9], [4, 2], [8, 2]], 7373/1486356480], [[[1, 3], [2, 9], [4, 2], [10, 2]], 27121/344064000], [[[1, 3], [2, 9], [4, 3], [6, 3]], 142771/6688604160], [[[1, 3], [2, 9], [4, 3], [7, 1]], 1/41287680], [[[1, 3], [2, 9], [4, 3], [9, 1]], 1/31850496], [[[1, 3], [2, 9], [4, 3], [14, 1]], 1303/92897280], [[[1, 3], [2, 9], [4, 3], [18, 1]], 169/278691840], [[[1, 3], [2, 9], [4, 4], [5, 1]], 11/176947200], [[[1, 3], [2, 9], [4, 4], [6, 2]], 45677/5016453120], [[[1, 3], [2, 9], [4, 4], [8, 1]], 46769/8918138880], [[[1, 3], [2, 9], [4, 4], [10, 1]], 5017/696729600], [[[1, 3], [2, 9], [4, 4], [12, 1]], 1/13271040], [[[1, 3], [2, 9], [4, 5], [6, 1]], 1847/955514880], [[[1, 3], [2, 9], [5, 1], [6, 4]], 11/7838208], [[[1, 3], [2, 9], [5, 1], [10, 2]], 4003/362880000], [[[1, 3], [2, 9], [5, 2], [10, 1]], 13/165888000], [[[1, 3], [2, 9], [6, 1], [22, 1]], 169/27371520], [[[1, 3], [2, 9], [6, 2], [8, 2]], 17/13271040], [[[1, 3], [2, 9], [6, 2], [10, 2]], 117581/1161216000], [[[1, 3], [2, 9], [6, 3], [14, 1]], 111053/2508226560], [[[1, 3], [2, 9], [6, 3], [18, 1]], 2083/67184640], [[[1, 3], [2, 9], [6, 4], [8, 1]], 328769/38698352640], [[[1, 3], [2, 9], [6, 4], [10, 1]], 14143/391910400], [[[1, 3], [2, 9], [6, 4], [12, 1]], 5/1492992], [[[1, 3], [2, 9], [8, 1], [10, 2]], 55621/3483648000], [[[1, 3], [2, 9], [8, 2], [10, 1]], 23/25804800], [[[1, 3], [2, 9], [14, 1], [18, 1]], 53/34836480], [[[1, 3], [2, 11], [3, 1], [4, 4]], 1441/66886041600], [[[1, 3], [2, 11], [3, 1], [6, 4]], 592451/64497254400], [[[1, 3], [2, 11], [3, 1], [8, 2]], 1/2786918400], [[[1, 3], [2, 11], [3, 1], [10, 2]], 709/1306368000], [[[1, 3], [2, 11], [3, 2], [4, 3]], 1/318504960], [[[1, 3], [2, 11], [3, 2], [6, 3]], 2852287/1354442342400], [[[1, 3], [2, 11], [3, 2], [14, 1]], 23/3135283200], [[[1, 3], [2, 11], [3, 2], [18, 1]], 1/9405849600], [[[1, 3], [2, 11], [3, 3], [6, 2]], 7913/451480780800], [[[1, 3], [2, 11], [3, 4], [6, 1]], 1/75246796800], [[[1, 3], [2, 11], [4, 1], [6, 4]], 29113367/2708884684800], [[[1, 3], [2, 11], [4, 1], [8, 2]], 53/557383680], [[[1, 3], [2, 11], [4, 1], [10, 2]], 301897/27869184000], [[[1, 3], [2, 11], [4, 2], [6, 3]], 481759/42998169600], [[[1, 3], [2, 11], [4, 2], [14, 1]], 19267/6502809600], [[[1, 3], [2, 11], [4, 2], [18, 1]], 353/4180377600], [[[1, 3], [2, 11], [4, 3], [5, 1]], 11/1393459200], [[[1, 3], [2, 11], [4, 3], [6, 2]], 105457/25082265600], [[[1, 3], [2, 11], [4, 3], [8, 1]], 7423/9909043200], [[[1, 3], [2, 11], [4, 3], [10, 1]], 229547/83607552000], [[[1, 3], [2, 11], [4, 3], [12, 1]], 1/95551488], [[[1, 3], [2, 11], [4, 4], [6, 1]], 185021/200658124800], [[[1, 3], [2, 11], [5, 1], [6, 3]], 5783/26873856000], [[[1, 3], [2, 11], [5, 1], [14, 1]], 23/870912000], [[[1, 3], [2, 11], [5, 1], [18, 1]], 1/2612736000], [[[1, 3], [2, 11], [6, 1], [8, 2]], 19/557383680], [[[1, 3], [2, 11], [6, 1], [10, 2]], 103511/6967296000], [[[1, 3], [2, 11], [6, 2], [14, 1]], 353461/43893964800], [[[1, 3], [2, 11], [6, 2], [18, 1]], 29383/12541132800], [[[1, 3], [2, 11], [6, 3], [8, 1]], 8769059/4256818790400], [[[1, 3], [2, 11], [6, 3], [10, 1]], 6653993/376233984000], [[[1, 3], [2, 11], [6, 3], [12, 1]], 1649/5016453120], [[[1, 3], [2, 11], [8, 1], [14, 1]], 5297/14631321600], [[[1, 3], [2, 11], [8, 1], [18, 1]], 1213/413857382400], [[[1, 3], [2, 11], [10, 1], [14, 1]], 8357/2322432000], [[[1, 3], [2, 11], [10, 1], [18, 1]], 793/5225472000], [[[1, 3], [2, 13], [3, 1], [4, 3]], 18253/5297374494720], [[[1, 3], [2, 13], [3, 1], [6, 3]], 8019863/13243436236800], [[[1, 3], [2, 13], [3, 1], [14, 1]], 11/2194698240], [[[1, 3], [2, 13], [3, 1], [18, 1]], 1/34488115200], [[[1, 3], [2, 13], [3, 2], [4, 2]], 79/1103619686400], [[[1, 3], [2, 13], [3, 2], [6, 2]], 168499/7946061742080], [[[1, 3], [2, 13], [3, 2], [8, 1]], 1/331085905920], [[[1, 3], [2, 13], [3, 2], [10, 1]], 23/57480192000], [[[1, 3], [2, 13], [3, 3], [4, 1]], 1/827714764800], [[[1, 3], [2, 13], [3, 3], [6, 1]], 89/2483144294400], [[[1, 3], [2, 13], [4, 1], [6, 3]], 106870487/68109100646400], [[[1, 3], [2, 13], [4, 1], [14, 1]], 738889/5150225203200], [[[1, 3], [2, 13], [4, 1], [18, 1]], 21601/6621718118400], [[[1, 3], [2, 13], [4, 2], [5, 1]], 311/919683072000], [[[1, 3], [2, 13], [4, 2], [6, 2]], 8206823/8828957491200], [[[1, 3], [2, 13], [4, 2], [8, 1]], 58229/1605264998400], [[[1, 3], [2, 13], [4, 2], [10, 1]], 2510821/7357464576000], [[[1, 3], [2, 13], [4, 2], [12, 1]], 139/275904921600], [[[1, 3], [2, 13], [4, 3], [6, 1]], 51181/275904921600], [[[1, 3], [2, 13], [5, 1], [6, 2]], 1103/172440576000], [[[1, 3], [2, 13], [5, 1], [8, 1]], 1/153280512000], [[[1, 3], [2, 13], [5, 1], [10, 1]], 59849/12262440960000], [[[1, 3], [2, 13], [6, 1], [14, 1]], 83179/280921374720], [[[1, 3], [2, 13], [6, 1], [18, 1]], 188669/6621718118400], [[[1, 3], [2, 13], [6, 2], [8, 1]], 23561/248314429440], [[[1, 3], [2, 13], [6, 2], [10, 1]], 765439/459841536000], [[[1, 3], [2, 13], [6, 2], [12, 1]], 1807/275904921600], [[[1, 3], [2, 13], [8, 1], [10, 1]], 18247/689762304000], [[[1, 3], [2, 15], [3, 1], [4, 2]], 481/2942985830400], [[[1, 3], [2, 15], [3, 1], [6, 2]], 230039/23176013414400], [[[1, 3], [2, 15], [3, 1], [8, 1]], 193/44144787456000], [[[1, 3], [2, 15], [3, 1], [10, 1]], 67/250822656000], [[[1, 3], [2, 15], [3, 2], [4, 1]], 1/529737449472], [[[1, 3], [2, 15], [3, 2], [6, 1]], 10309/264868724736000], [[[1, 3], [2, 15], [4, 1], [5, 1]], 323/36787322880000], [[[1, 3], [2, 15], [4, 1], [6, 2]], 4763953/79460617420800], [[[1, 3], [2, 15], [4, 1], [8, 1]], 2281/3210529996800], [[[1, 3], [2, 15], [4, 1], [10, 1]], 268339/19313344512000], [[[1, 3], [2, 15], [4, 1], [12, 1]], 17/2452488192000], [[[1, 3], [2, 15], [4, 2], [6, 1]], 17267/980995276800], [[[1, 3], [2, 15], [5, 1], [6, 1]], 17/344881152000], [[[1, 3], [2, 15], [6, 1], [8, 1]], 38057/34054550323200], [[[1, 3], [2, 15], [6, 1], [10, 1]], 101419/2759049216000], [[[1, 3], [2, 15], [6, 1], [12, 1]], 47/1634992128000], [[[1, 3], [2, 17], [3, 1], [4, 1]], 24481/8343364829184000], [[[1, 3], [2, 17], [3, 1], [6, 1]], 56761/1390560804864000], [[[1, 3], [2, 17], [4, 1], [6, 1]], 250177/379243855872000], [[[1, 4], [2, 2], [3, 3], [5, 3]], 1/1728000], [[[1, 4], [2, 2], [3, 3], [6, 6]], 1/3359232], [[[1, 4], [2, 2], [3, 3], [7, 2]], 25/508032], [[[1, 4], [2, 2], [3, 3], [9, 2]], 1/31104], [[[1, 4], [2, 2], [3, 4], [6, 5]], 1/6718464], [[[1, 4], [2, 2], [3, 4], [11, 1]], 1/912384], [[[1, 4], [2, 2], [3, 5], [4, 4]], 7/71663616], [[[1, 4], [2, 2], [3, 5], [5, 2]], 1/4665600], [[[1, 4], [2, 2], [3, 5], [6, 4]], 95/10077696], [[[1, 4], [2, 2], [3, 6], [4, 3]], 13/161243136], [[[1, 4], [2, 2], [3, 6], [6, 3]], 29/20155392], [[[1, 4], [2, 2], [3, 6], [9, 1]], 1/2239488], [[[1, 4], [2, 2], [3, 7], [4, 2]], 1/71663616], [[[1, 4], [2, 2], [3, 7], [5, 1]], 1/100776960], [[[1, 4], [2, 2], [3, 7], [6, 2]], 17/22674816], [[[1, 4], [2, 2], [3, 7], [8, 1]], 1/80621568], [[[1, 4], [2, 2], [3, 7], [10, 1]], 1/50388480], [[[1, 4], [2, 2], [3, 8], [6, 1]], 1/90699264], [[[1, 4], [2, 2], [4, 3], [5, 3]], 1/384000], [[[1, 4], [2, 2], [4, 4], [11, 1]], 1/49152], [[[1, 4], [2, 2], [4, 4], [22, 1]], 1/811008], [[[1, 4], [2, 2], [4, 5], [5, 2]], 1/7372800], [[[1, 4], [2, 2], [4, 5], [8, 2]], 1/98304], [[[1, 4], [2, 2], [4, 6], [6, 3]], 1/191102976], [[[1, 4], [2, 2], [4, 6], [7, 1]], 1/2064384], [[[1, 4], [2, 2], [4, 6], [18, 1]], 1/2654208], [[[1, 4], [2, 2], [5, 2], [11, 1]], 3/8800], [[[1, 4], [2, 2], [5, 3], [7, 1]], 1/5600], [[[1, 4], [2, 2], [5, 3], [9, 1]], 1/24000], [[[1, 4], [2, 2], [6, 3], [18, 2]], 1/559872], [[[1, 4], [2, 2], [6, 4], [22, 1]], 1/16422912], [[[1, 4], [2, 2], [6, 6], [18, 1]], 1/40310784], [[[1, 4], [2, 2], [7, 2], [9, 1]], 1/7056], [[[1, 4], [2, 2], [8, 2], [11, 1]], 1/11264], [[[1, 4], [2, 2], [8, 2], [22, 1]], 1/33792], [[[1, 4], [2, 4], [3, 1], [6, 7]], 55/725594112], [[[1, 4], [2, 4], [3, 2], [4, 6]], 1/31850496], [[[1, 4], [2, 4], [3, 2], [5, 3]], 1/288000], [[[1, 4], [2, 4], [3, 2], [6, 6]], 1511/322486272], [[[1, 4], [2, 4], [3, 2], [9, 2]], 185/4478976], [[[1, 4], [2, 4], [3, 2], [10, 3]], 1/144000], [[[1, 4], [2, 4], [3, 3], [4, 5]], 25/31850496], [[[1, 4], [2, 4], [3, 3], [6, 5]], 143/2985984], [[[1, 4], [2, 4], [3, 3], [11, 1]], 1813/131383296], [[[1, 4], [2, 4], [3, 3], [22, 1]], 1/57024], [[[1, 4], [2, 4], [3, 4], [4, 4]], 103/143327232], [[[1, 4], [2, 4], [3, 4], [5, 2]], 37/149299200], [[[1, 4], [2, 4], [3, 4], [6, 4]], 1123/8957952], [[[1, 4], [2, 4], [3, 4], [8, 2]], 1/5971968], [[[1, 4], [2, 4], [3, 5], [4, 3]], 41/214990848], [[[1, 4], [2, 4], [3, 5], [6, 3]], 143/2985984], [[[1, 4], [2, 4], [3, 5], [7, 1]], 13/62705664], [[[1, 4], [2, 4], [3, 5], [9, 1]], 1969/322486272], [[[1, 4], [2, 4], [3, 6], [5, 1]], 1/134369280], [[[1, 4], [2, 4], [3, 6], [6, 2]], 1511/322486272], [[[1, 4], [2, 4], [3, 6], [8, 1]], 1/20155392], [[[1, 4], [2, 4], [3, 6], [12, 1]], 1/53747712], [[[1, 4], [2, 4], [3, 7], [4, 1]], 1/967458816], [[[1, 4], [2, 4], [3, 7], [6, 1]], 55/725594112], [[[1, 4], [2, 4], [4, 1], [6, 7]], 1/967458816], [[[1, 4], [2, 4], [4, 2], [5, 3]], 9/512000], [[[1, 4], [2, 4], [4, 2], [7, 2]], 1/37632], [[[1, 4], [2, 4], [4, 2], [8, 3]], 1/8192], [[[1, 4], [2, 4], [4, 2], [10, 3]], 9/512000], [[[1, 4], [2, 4], [4, 2], [14, 2]], 1/37632], [[[1, 4], [2, 4], [4, 3], [6, 5]], 41/214990848], [[[1, 4], [2, 4], [4, 3], [11, 1]], 43/405504], [[[1, 4], [2, 4], [4, 3], [22, 1]], 43/405504], [[[1, 4], [2, 4], [4, 4], [5, 2]], 31/7372800], [[[1, 4], [2, 4], [4, 4], [6, 4]], 103/143327232], [[[1, 4], [2, 4], [4, 4], [8, 2]], 1/8192], [[[1, 4], [2, 4], [4, 4], [10, 2]], 31/7372800], [[[1, 4], [2, 4], [4, 5], [6, 3]], 25/31850496], [[[1, 4], [2, 4], [4, 5], [7, 1]], 1/344064], [[[1, 4], [2, 4], [4, 5], [9, 1]], 1/442368], [[[1, 4], [2, 4], [4, 5], [14, 1]], 1/344064], [[[1, 4], [2, 4], [4, 5], [18, 1]], 1/442368], [[[1, 4], [2, 4], [4, 6], [5, 1]], 1/983040], [[[1, 4], [2, 4], [4, 6], [6, 2]], 1/31850496], [[[1, 4], [2, 4], [4, 6], [8, 1]], 17/1179648], [[[1, 4], [2, 4], [4, 6], [10, 1]], 1/983040], [[[1, 4], [2, 4], [4, 6], [12, 1]], 1/442368], [[[1, 4], [2, 4], [5, 1], [7, 2]], 1/564480], [[[1, 4], [2, 4], [5, 1], [10, 3]], 11/40000], [[[1, 4], [2, 4], [5, 2], [8, 2]], 7/307200], [[[1, 4], [2, 4], [5, 2], [10, 2]], 1/2000], [[[1, 4], [2, 4], [5, 3], [6, 2]], 1/144000], [[[1, 4], [2, 4], [5, 3], [8, 1]], 7/192000], [[[1, 4], [2, 4], [5, 3], [10, 1]], 11/40000], [[[1, 4], [2, 4], [6, 2], [10, 3]], 1/288000], [[[1, 4], [2, 4], [6, 2], [18, 2]], 185/4478976], [[[1, 4], [2, 4], [6, 3], [11, 1]], 1/57024], [[[1, 4], [2, 4], [6, 3], [22, 1]], 1813/131383296], [[[1, 4], [2, 4], [6, 4], [8, 2]], 1/5971968], [[[1, 4], [2, 4], [6, 4], [10, 2]], 37/149299200], [[[1, 4], [2, 4], [6, 5], [14, 1]], 13/62705664], [[[1, 4], [2, 4], [6, 5], [18, 1]], 1969/322486272], [[[1, 4], [2, 4], [6, 6], [8, 1]], 1/20155392], [[[1, 4], [2, 4], [6, 6], [10, 1]], 1/134369280], [[[1, 4], [2, 4], [6, 6], [12, 1]], 1/53747712], [[[1, 4], [2, 4], [7, 1], [11, 1]], 1/177408], [[[1, 4], [2, 4], [8, 1], [10, 3]], 7/192000], [[[1, 4], [2, 4], [8, 2], [10, 2]], 7/307200], [[[1, 4], [2, 4], [9, 1], [11, 1]], 37/1824768], [[[1, 4], [2, 4], [10, 1], [14, 2]], 1/564480], [[[1, 4], [2, 4], [14, 1], [22, 1]], 1/177408], [[[1, 4], [2, 4], [18, 1], [22, 1]], 37/1824768], [[[1, 4], [2, 6], [3, 1], [4, 6]], 1/1179648], [[[1, 4], [2, 6], [3, 1], [5, 3]], 1/2304000], [[[1, 4], [2, 6], [3, 1], [6, 6]], 14837/2902376448], [[[1, 4], [2, 6], [3, 1], [9, 2]], 91/44789760], [[[1, 4], [2, 6], [3, 1], [10, 3]], 1/28800], [[[1, 4], [2, 6], [3, 1], [14, 2]], 1/28224], [[[1, 4], [2, 6], [3, 2], [4, 5]], 1/663552], [[[1, 4], [2, 6], [3, 2], [6, 5]], 7427/79626240], [[[1, 4], [2, 6], [3, 2], [11, 1]], 271/109486080], [[[1, 4], [2, 6], [3, 2], [22, 1]], 7/912384], [[[1, 4], [2, 6], [3, 3], [4, 4]], 5/31850496], [[[1, 4], [2, 6], [3, 3], [5, 2]], 751/5971968000], [[[1, 4], [2, 6], [3, 3], [6, 4]], 512767/2579890176], [[[1, 4], [2, 6], [3, 3], [10, 2]], 1/518400], [[[1, 4], [2, 6], [3, 4], [4, 3]], 1/23887872], [[[1, 4], [2, 6], [3, 4], [6, 3]], 220507/4299816960], [[[1, 4], [2, 6], [3, 4], [7, 1]], 781/2508226560], [[[1, 4], [2, 6], [3, 4], [9, 1]], 367/214990848], [[[1, 4], [2, 6], [3, 5], [4, 2]], 31/1433272320], [[[1, 4], [2, 6], [3, 5], [5, 1]], 31/5374771200], [[[1, 4], [2, 6], [3, 5], [6, 2]], 5093/1074954240], [[[1, 4], [2, 6], [3, 5], [8, 1]], 1/214990848], [[[1, 4], [2, 6], [3, 5], [12, 1]], 1/2149908480], [[[1, 4], [2, 6], [3, 6], [4, 1]], 19/3224862720], [[[1, 4], [2, 6], [3, 6], [6, 1]], 91/644972544], [[[1, 4], [2, 6], [4, 1], [5, 3]], 7/2560000], [[[1, 4], [2, 6], [4, 1], [6, 6]], 425/967458816], [[[1, 4], [2, 6], [4, 1], [8, 3]], 1/12288], [[[1, 4], [2, 6], [4, 1], [10, 3]], 139/768000], [[[1, 4], [2, 6], [4, 1], [14, 2]], 13/112896], [[[1, 4], [2, 6], [4, 2], [6, 5]], 8059/859963392], [[[1, 4], [2, 6], [4, 2], [11, 1]], 1007/48660480], [[[1, 4], [2, 6], [4, 2], [22, 1]], 1585/9732096], [[[1, 4], [2, 6], [4, 3], [5, 2]], 1129/221184000], [[[1, 4], [2, 6], [4, 3], [6, 4]], 4277/214990848], [[[1, 4], [2, 6], [4, 3], [8, 2]], 839/3538944], [[[1, 4], [2, 6], [4, 3], [10, 2]], 763/7372800], [[[1, 4], [2, 6], [4, 4], [6, 3]], 29063/2293235712], [[[1, 4], [2, 6], [4, 4], [7, 1]], 17/1935360], [[[1, 4], [2, 6], [4, 4], [9, 1]], 5/442368], [[[1, 4], [2, 6], [4, 4], [14, 1]], 5837/123863040], [[[1, 4], [2, 6], [4, 4], [18, 1]], 77/10616832], [[[1, 4], [2, 6], [4, 5], [5, 1]], 11/1474560], [[[1, 4], [2, 6], [4, 5], [6, 2]], 281/31850496], [[[1, 4], [2, 6], [4, 5], [8, 1]], 4747/70778880], [[[1, 4], [2, 6], [4, 5], [10, 1]], 119/8847360], [[[1, 4], [2, 6], [4, 5], [12, 1]], 1/98304], [[[1, 4], [2, 6], [4, 6], [6, 1]], 269/31850496], [[[1, 4], [2, 6], [5, 1], [6, 5]], 7/2488320], [[[1, 4], [2, 6], [5, 1], [11, 1]], 41/10137600], [[[1, 4], [2, 6], [5, 1], [22, 1]], 1/84480], [[[1, 4], [2, 6], [5, 2], [7, 1]], 41/32256000], [[[1, 4], [2, 6], [5, 2], [9, 1]], 31/82944000], [[[1, 4], [2, 6], [5, 3], [6, 1]], 1/576000], [[[1, 4], [2, 6], [6, 1], [10, 3]], 23/256000], [[[1, 4], [2, 6], [6, 1], [14, 2]], 1/13824], [[[1, 4], [2, 6], [6, 1], [18, 2]], 145/8957952], [[[1, 4], [2, 6], [6, 2], [11, 1]], 1/202752], [[[1, 4], [2, 6], [6, 2], [22, 1]], 1097/21897216], [[[1, 4], [2, 6], [6, 3], [8, 2]], 19/2985984], [[[1, 4], [2, 6], [6, 3], [10, 2]], 39289/1194393600], [[[1, 4], [2, 6], [6, 4], [14, 1]], 10649/836075520], [[[1, 4], [2, 6], [6, 4], [18, 1]], 25847/644972544], [[[1, 4], [2, 6], [6, 5], [8, 1]], 247/107495424], [[[1, 4], [2, 6], [6, 5], [10, 1]], 1313/358318080], [[[1, 4], [2, 6], [6, 5], [12, 1]], 629/429981696], [[[1, 4], [2, 6], [7, 1], [8, 2]], 1/172032], [[[1, 4], [2, 6], [8, 1], [11, 1]], 1/135168], [[[1, 4], [2, 6], [8, 1], [22, 1]], 113/3041280], [[[1, 4], [2, 6], [8, 2], [14, 1]], 53/1290240], [[[1, 4], [2, 6], [10, 1], [11, 1]], 1/506880], [[[1, 4], [2, 6], [10, 1], [22, 1]], 3/45056], [[[1, 4], [2, 6], [10, 2], [14, 1]], 907/6451200], [[[1, 4], [2, 6], [10, 2], [18, 1]], 361/16588800], [[[1, 4], [2, 8], [3, 1], [4, 5]], 19/13271040], [[[1, 4], [2, 8], [3, 1], [6, 5]], 826037/19349176320], [[[1, 4], [2, 8], [3, 1], [11, 1]], 1/13271040], [[[1, 4], [2, 8], [3, 1], [22, 1]], 527/164229120], [[[1, 4], [2, 8], [3, 2], [4, 4]], 481/637009920], [[[1, 4], [2, 8], [3, 2], [5, 2]], 1/331776000], [[[1, 4], [2, 8], [3, 2], [6, 4]], 274723/2149908480], [[[1, 4], [2, 8], [3, 2], [10, 2]], 181/41472000], [[[1, 4], [2, 8], [3, 3], [4, 3]], 23/382205952], [[[1, 4], [2, 8], [3, 3], [6, 3]], 419333/11287019520], [[[1, 4], [2, 8], [3, 3], [7, 1]], 5/668860416], [[[1, 4], [2, 8], [3, 3], [9, 1]], 17/358318080], [[[1, 4], [2, 8], [3, 3], [14, 1]], 1/4354560], [[[1, 4], [2, 8], [3, 4], [4, 2]], 1/59719680], [[[1, 4], [2, 8], [3, 4], [5, 1]], 1/7166361600], [[[1, 4], [2, 8], [3, 4], [6, 2]], 263/238878720], [[[1, 4], [2, 8], [3, 5], [4, 1]], 1/4299816960], [[[1, 4], [2, 8], [3, 5], [6, 1]], 37/6449725440], [[[1, 4], [2, 8], [4, 1], [6, 5]], 243781/12899450880], [[[1, 4], [2, 8], [4, 1], [11, 1]], 13/24330240], [[[1, 4], [2, 8], [4, 1], [22, 1]], 4883/218972160], [[[1, 4], [2, 8], [4, 2], [5, 2]], 17/49152000], [[[1, 4], [2, 8], [4, 2], [6, 4]], 117343/2149908480], [[[1, 4], [2, 8], [4, 2], [8, 2]], 1519/26542080], [[[1, 4], [2, 8], [4, 2], [10, 2]], 96707/442368000], [[[1, 4], [2, 8], [4, 3], [6, 3]], 1040557/17199267840], [[[1, 4], [2, 8], [4, 3], [7, 1]], 13/20643840], [[[1, 4], [2, 8], [4, 3], [9, 1]], 19/26542080], [[[1, 4], [2, 8], [4, 3], [14, 1]], 4637/61931520], [[[1, 4], [2, 8], [4, 3], [18, 1]], 1549/238878720], [[[1, 4], [2, 8], [4, 4], [5, 1]], 3809/1592524800], [[[1, 4], [2, 8], [4, 4], [6, 2]], 7181/191102976], [[[1, 4], [2, 8], [4, 4], [8, 1]], 2509/63700992], [[[1, 4], [2, 8], [4, 4], [10, 1]], 57961/1857945600], [[[1, 4], [2, 8], [4, 4], [12, 1]], 121/29859840], [[[1, 4], [2, 8], [4, 5], [6, 1]], 239/19906560], [[[1, 4], [2, 8], [5, 1], [6, 4]], 61/12441600], [[[1, 4], [2, 8], [5, 1], [10, 2]], 20561/414720000], [[[1, 4], [2, 8], [5, 2], [8, 1]], 1/27648000], [[[1, 4], [2, 8], [5, 2], [10, 1]], 263/82944000], [[[1, 4], [2, 8], [6, 1], [11, 1]], 1/6082560], [[[1, 4], [2, 8], [6, 1], [22, 1]], 2281/131383296], [[[1, 4], [2, 8], [6, 2], [8, 2]], 113/19906560], [[[1, 4], [2, 8], [6, 2], [10, 2]], 57941/497664000], [[[1, 4], [2, 8], [6, 3], [14, 1]], 40807/716636160], [[[1, 4], [2, 8], [6, 3], [18, 1]], 29419/537477120], [[[1, 4], [2, 8], [6, 4], [8, 1]], 74663/7524679680], [[[1, 4], [2, 8], [6, 4], [10, 1]], 256621/8360755200], [[[1, 4], [2, 8], [6, 4], [12, 1]], 2389/537477120], [[[1, 4], [2, 8], [7, 1], [9, 1]], 1/46448640], [[[1, 4], [2, 8], [8, 1], [10, 2]], 35569/870912000], [[[1, 4], [2, 8], [8, 2], [10, 1]], 221/38707200], [[[1, 4], [2, 8], [14, 1], [18, 1]], 353/69672960], [[[1, 4], [2, 10], [3, 1], [4, 4]], 22207/26754416640], [[[1, 4], [2, 10], [3, 1], [6, 4]], 26227849/812665405440], [[[1, 4], [2, 10], [3, 1], [8, 2]], 1/123863040], [[[1, 4], [2, 10], [3, 1], [10, 2]], 8797/2090188800], [[[1, 4], [2, 10], [3, 2], [4, 3]], 59/557383680], [[[1, 4], [2, 10], [3, 2], [6, 3]], 1442551/72236924928], [[[1, 4], [2, 10], [3, 2], [9, 1]], 1/2866544640], [[[1, 4], [2, 10], [3, 2], [14, 1]], 67/418037760], [[[1, 4], [2, 10], [3, 2], [18, 1]], 1/418037760], [[[1, 4], [2, 10], [3, 3], [4, 2]], 199/53508833280], [[[1, 4], [2, 10], [3, 3], [6, 2]], 8215/12039487488], [[[1, 4], [2, 10], [3, 3], [10, 1]], 1/130636800], [[[1, 4], [2, 10], [3, 4], [6, 1]], 43/120394874880], [[[1, 4], [2, 10], [4, 1], [5, 2]], 1/589824000], [[[1, 4], [2, 10], [4, 1], [6, 4]], 3821207/135444234240], [[[1, 4], [2, 10], [4, 1], [8, 2]], 9679/6688604160], [[[1, 4], [2, 10], [4, 1], [10, 2]], 403003/9289728000], [[[1, 4], [2, 10], [4, 2], [6, 3]], 23025929/481579499520], [[[1, 4], [2, 10], [4, 2], [7, 1]], 1/55050240], [[[1, 4], [2, 10], [4, 2], [9, 1]], 1/106168320], [[[1, 4], [2, 10], [4, 2], [14, 1]], 32395/1560674304], [[[1, 4], [2, 10], [4, 2], [18, 1]], 737/743178240], [[[1, 4], [2, 10], [4, 3], [5, 1]], 167/619315200], [[[1, 4], [2, 10], [4, 3], [6, 2]], 1899769/60197437440], [[[1, 4], [2, 10], [4, 3], [8, 1]], 27181/2548039680], [[[1, 4], [2, 10], [4, 3], [10, 1]], 204821/8360755200], [[[1, 4], [2, 10], [4, 3], [12, 1]], 37/123863040], [[[1, 4], [2, 10], [4, 4], [6, 1]], 682393/80263249920], [[[1, 4], [2, 10], [5, 1], [6, 3]], 293/185794560], [[[1, 4], [2, 10], [5, 1], [7, 1]], 1/3715891200], [[[1, 4], [2, 10], [5, 1], [14, 1]], 43/116121600], [[[1, 4], [2, 10], [5, 1], [18, 1]], 1/116121600], [[[1, 4], [2, 10], [6, 1], [8, 2]], 193/477757440], [[[1, 4], [2, 10], [6, 1], [10, 2]], 232193/5971968000], [[[1, 4], [2, 10], [6, 2], [14, 1]], 2995/125411328], [[[1, 4], [2, 10], [6, 2], [18, 1]], 828461/90296156160], [[[1, 4], [2, 10], [6, 3], [8, 1]], 6837583/902961561600], [[[1, 4], [2, 10], [6, 3], [10, 1]], 5528797/150493593600], [[[1, 4], [2, 10], [6, 3], [12, 1]], 37393/30098718720], [[[1, 4], [2, 10], [8, 1], [14, 1]], 1567/597196800], [[[1, 4], [2, 10], [8, 1], [18, 1]], 383/12541132800], [[[1, 4], [2, 10], [10, 1], [14, 1]], 1586069/117050572800], [[[1, 4], [2, 10], [10, 1], [18, 1]], 1613/2090188800], [[[1, 4], [2, 12], [3, 1], [4, 3]], 11129/100329062400], [[[1, 4], [2, 12], [3, 1], [6, 3]], 389643007/89393194598400], [[[1, 4], [2, 12], [3, 1], [14, 1]], 7709/87787929600], [[[1, 4], [2, 12], [3, 1], [18, 1]], 941/1241572147200], [[[1, 4], [2, 12], [3, 2], [4, 2]], 263/52553318400], [[[1, 4], [2, 12], [3, 2], [6, 2]], 1986823/4414478745600], [[[1, 4], [2, 12], [3, 2], [8, 1]], 1/5016453120], [[[1, 4], [2, 12], [3, 2], [10, 1]], 319/31352832000], [[[1, 4], [2, 12], [3, 3], [4, 1]], 1/12541132800], [[[1, 4], [2, 12], [3, 3], [6, 1]], 3841/1986515435520], [[[1, 4], [2, 12], [4, 1], [6, 3]], 49421831/5959546306560], [[[1, 4], [2, 12], [4, 1], [14, 1]], 4951/3901685760], [[[1, 4], [2, 12], [4, 1], [18, 1]], 16859/413857382400], [[[1, 4], [2, 12], [4, 2], [5, 1]], 12293/919683072000], [[[1, 4], [2, 12], [4, 2], [6, 2]], 9751201/1203948748800], [[[1, 4], [2, 12], [4, 2], [8, 1]], 33961/53508833280], [[[1, 4], [2, 12], [4, 2], [10, 1]], 1256273/334430208000], [[[1, 4], [2, 12], [4, 2], [12, 1]], 3259/275904921600], [[[1, 4], [2, 12], [4, 3], [6, 1]], 818423/300987187200], [[[1, 4], [2, 12], [5, 1], [6, 2]], 337/3483648000], [[[1, 4], [2, 12], [5, 1], [8, 1]], 1/2322432000], [[[1, 4], [2, 12], [5, 1], [10, 1]], 42871/557383680000], [[[1, 4], [2, 12], [6, 1], [14, 1]], 56963/33443020800], [[[1, 4], [2, 12], [6, 1], [18, 1]], 2180971/9932577177600], [[[1, 4], [2, 12], [6, 2], [8, 1]], 1253717/1655429529600], [[[1, 4], [2, 12], [6, 2], [10, 1]], 510671/71663616000], [[[1, 4], [2, 12], [6, 2], [12, 1]], 166433/3310859059200], [[[1, 4], [2, 12], [8, 1], [10, 1]], 42131/153280512000], [[[1, 4], [2, 14], [3, 1], [4, 2]], 54391/10594748989440], [[[1, 4], [2, 14], [3, 1], [5, 1]], 1/689762304000], [[[1, 4], [2, 14], [3, 1], [6, 2]], 7754267/59595463065600], [[[1, 4], [2, 14], [3, 1], [8, 1]], 1/7390310400], [[[1, 4], [2, 14], [3, 1], [10, 1]], 2599/413857382400], [[[1, 4], [2, 14], [3, 2], [4, 1]], 19/150493593600], [[[1, 4], [2, 14], [3, 2], [6, 1]], 352643/211894979788800], [[[1, 4], [2, 14], [4, 1], [5, 1]], 67/172440576000], [[[1, 4], [2, 14], [4, 1], [6, 2]], 45580121/79460617420800], [[[1, 4], [2, 14], [4, 1], [8, 1]], 1937/145332633600], [[[1, 4], [2, 14], [4, 1], [10, 1]], 3708937/22072393728000], [[[1, 4], [2, 14], [4, 1], [12, 1]], 17/118244966400], [[[1, 4], [2, 14], [4, 2], [6, 1]], 14776319/52973744947200], [[[1, 4], [2, 14], [5, 1], [6, 1]], 101/76640256000], [[[1, 4], [2, 14], [6, 1], [8, 1]], 13157/827714764800], [[[1, 4], [2, 14], [6, 1], [10, 1]], 4190773/14714929152000], [[[1, 4], [2, 14], [6, 1], [12, 1]], 39241/105947489894400], [[[1, 4], [2, 16], [3, 1], [4, 1]], 40693/397303087104000], [[[1, 4], [2, 16], [3, 1], [6, 1]], 22360727/25030094487552000], [[[1, 4], [2, 16], [4, 1], [6, 1]], 86488727/8343364829184000], [[[1, 4], [3, 1], [4, 4], [11, 1]], 1/202752], [[[1, 4], [3, 1], [7, 1], [9, 2]], 1/6804], [[[1, 4], [3, 1], [7, 2], [9, 1]], 1/5292], [[[1, 4], [3, 2], [4, 2], [9, 2]], 5/373248], [[[1, 4], [3, 2], [5, 1], [7, 2]], 1/52920], [[[1, 4], [3, 2], [5, 1], [9, 2]], 1/19440], [[[1, 4], [3, 2], [6, 2], [7, 2]], 1/42336], [[[1, 4], [3, 2], [7, 1], [11, 1]], 1/16632], [[[1, 4], [3, 2], [7, 2], [12, 1]], 1/7056], [[[1, 4], [3, 2], [9, 1], [11, 1]], 1/14256], [[[1, 4], [3, 3], [4, 2], [11, 1]], 49/10948608], [[[1, 4], [3, 3], [4, 4], [9, 1]], 1/497664], [[[1, 4], [3, 3], [5, 1], [11, 1]], 1/570240], [[[1, 4], [3, 3], [5, 2], [7, 1]], 1/604800], [[[1, 4], [3, 3], [6, 2], [11, 1]], 1/114048], [[[1, 4], [3, 3], [11, 1], [12, 1]], 1/19008], [[[1, 4], [3, 4], [4, 2], [5, 2]], 1/12441600], [[[1, 4], [3, 4], [7, 1], [9, 1]], 5/163296], [[[1, 4], [3, 5], [4, 2], [7, 1]], 1/5225472], [[[1, 4], [3, 5], [4, 2], [9, 1]], 61/26873856], [[[1, 4], [3, 5], [5, 1], [7, 1]], 1/653184], [[[1, 4], [3, 5], [5, 1], [9, 1]], 1/1399680], [[[1, 4], [3, 5], [6, 2], [7, 1]], 1/1959552], [[[1, 4], [3, 5], [6, 2], [9, 1]], 1/279936], [[[1, 4], [3, 5], [7, 1], [12, 1]], 1/326592], [[[1, 4], [3, 5], [9, 1], [12, 1]], 1/46656], [[[1, 4], [3, 6], [4, 2], [5, 1]], 1/11197440], [[[1, 4], [3, 6], [4, 2], [6, 2]], 1/26873856], [[[1, 4], [3, 6], [4, 2], [12, 1]], 1/4478976], [[[1, 4], [3, 7], [4, 1], [8, 1]], 1/80621568], [[[1, 4], [4, 2], [5, 1], [7, 2]], 1/47040], [[[1, 4], [4, 2], [7, 1], [11, 1]], 1/14784], [[[1, 4], [4, 2], [9, 1], [11, 1]], 1/152064], [[[1, 4], [4, 3], [8, 1], [11, 1]], 1/67584], [[[1, 4], [5, 1], [7, 1], [11, 1]], 1/1540], [[[1, 4], [5, 1], [9, 1], [11, 1]], 1/7920], [[[1, 4], [5, 2], [7, 1], [9, 1]], 1/8400], [[[1, 5], [2, 1], [3, 3], [5, 3]], 1/1728000], [[[1, 5], [2, 1], [3, 3], [7, 2]], 1/15552], [[[1, 5], [2, 1], [3, 3], [9, 2]], 1/15552], [[[1, 5], [2, 1], [3, 4], [4, 5]], 1/143327232], [[[1, 5], [2, 1], [3, 4], [11, 1]], 25/1368576], [[[1, 5], [2, 1], [3, 5], [5, 2]], 1/1866240], [[[1, 5], [2, 1], [3, 6], [4, 3]], 31/483729408], [[[1, 5], [2, 1], [3, 6], [6, 3]], 1/839808], [[[1, 5], [2, 1], [3, 6], [7, 1]], 19/11757312], [[[1, 5], [2, 1], [3, 6], [9, 1]], 1/124416], [[[1, 5], [2, 1], [3, 7], [4, 2]], 11/107495424], [[[1, 5], [2, 1], [3, 7], [5, 1]], 1/50388480], [[[1, 5], [2, 1], [3, 7], [8, 1]], 1/161243136], [[[1, 5], [2, 1], [3, 8], [4, 1]], 1/40310784], [[[1, 5], [2, 1], [3, 8], [6, 1]], 1/7558272], [[[1, 5], [2, 1], [4, 3], [5, 3]], 1/768000], [[[1, 5], [2, 1], [4, 3], [7, 2]], 1/37632], [[[1, 5], [2, 1], [4, 4], [11, 1]], 1/270336], [[[1, 5], [2, 1], [4, 5], [5, 2]], 1/7372800], [[[1, 5], [2, 1], [5, 2], [11, 1]], 3/8800], [[[1, 5], [2, 1], [5, 3], [7, 1]], 1/4000], [[[1, 5], [2, 1], [5, 3], [9, 1]], 1/24000], [[[1, 5], [2, 1], [7, 2], [9, 1]], 1/10584], [[[1, 5], [2, 3], [3, 1], [4, 7]], 1/1769472], [[[1, 5], [2, 3], [3, 1], [6, 7]], 1/161243136], [[[1, 5], [2, 3], [3, 2], [4, 6]], 1/10616832], [[[1, 5], [2, 3], [3, 2], [5, 3]], 11/432000], [[[1, 5], [2, 3], [3, 2], [6, 6]], 11/80621568], [[[1, 5], [2, 3], [3, 2], [7, 2]], 1/9408], [[[1, 5], [2, 3], [3, 2], [9, 2]], 25/373248], [[[1, 5], [2, 3], [3, 3], [4, 5]], 49/191102976], [[[1, 5], [2, 3], [3, 3], [6, 5]], 181/17915904], [[[1, 5], [2, 3], [3, 3], [11, 1]], 89/3649536], [[[1, 5], [2, 3], [3, 4], [4, 4]], 145/71663616], [[[1, 5], [2, 3], [3, 4], [5, 2]], 133/24883200], [[[1, 5], [2, 3], [3, 4], [6, 4]], 769/13436928], [[[1, 5], [2, 3], [3, 4], [8, 2]], 1/995328], [[[1, 5], [2, 3], [3, 5], [4, 3]], 145/71663616], [[[1, 5], [2, 3], [3, 5], [6, 3]], 4697/80621568], [[[1, 5], [2, 3], [3, 5], [7, 1]], 19/31352832], [[[1, 5], [2, 3], [3, 5], [9, 1]], 11/995328], [[[1, 5], [2, 3], [3, 6], [4, 2]], 73/107495424], [[[1, 5], [2, 3], [3, 6], [5, 1]], 11/33592320], [[[1, 5], [2, 3], [3, 6], [6, 2]], 2401/120932352], [[[1, 5], [2, 3], [3, 6], [8, 1]], 19/60466176], [[[1, 5], [2, 3], [3, 6], [10, 1]], 1/2099520], [[[1, 5], [2, 3], [3, 6], [12, 1]], 1/4478976], [[[1, 5], [2, 3], [3, 7], [4, 1]], 19/1934917632], [[[1, 5], [2, 3], [3, 7], [6, 1]], 31/80621568], [[[1, 5], [2, 3], [4, 1], [6, 7]], 1/19349176320], [[[1, 5], [2, 3], [4, 2], [5, 3]], 31/768000], [[[1, 5], [2, 3], [4, 2], [7, 2]], 1/6272], [[[1, 5], [2, 3], [4, 2], [8, 3]], 1/8192], [[[1, 5], [2, 3], [4, 3], [11, 1]], 23/270336], [[[1, 5], [2, 3], [4, 3], [22, 1]], 409/24330240], [[[1, 5], [2, 3], [4, 4], [5, 2]], 109/14745600], [[[1, 5], [2, 3], [4, 4], [8, 2]], 119/1179648], [[[1, 5], [2, 3], [4, 4], [10, 2]], 1/7372800], [[[1, 5], [2, 3], [4, 5], [6, 3]], 5/63700992], [[[1, 5], [2, 3], [4, 5], [7, 1]], 1/98304], [[[1, 5], [2, 3], [4, 5], [9, 1]], 1/2654208], [[[1, 5], [2, 3], [4, 5], [14, 1]], 1/2064384], [[[1, 5], [2, 3], [4, 5], [18, 1]], 5/884736], [[[1, 5], [2, 3], [4, 6], [5, 1]], 1/2949120], [[[1, 5], [2, 3], [4, 6], [6, 2]], 1/10616832], [[[1, 5], [2, 3], [4, 6], [8, 1]], 1/196608], [[[1, 5], [2, 3], [4, 6], [10, 1]], 1/2949120], [[[1, 5], [2, 3], [5, 1], [7, 2]], 1/6720], [[[1, 5], [2, 3], [5, 1], [10, 3]], 1/16000], [[[1, 5], [2, 3], [5, 2], [8, 2]], 3/102400], [[[1, 5], [2, 3], [5, 2], [10, 2]], 1/4000], [[[1, 5], [2, 3], [5, 3], [6, 2]], 1/72000], [[[1, 5], [2, 3], [5, 3], [8, 1]], 17/192000], [[[1, 5], [2, 3], [5, 3], [10, 1]], 17/40000], [[[1, 5], [2, 3], [6, 2], [18, 2]], 1/248832], [[[1, 5], [2, 3], [6, 3], [22, 1]], 25/21897216], [[[1, 5], [2, 3], [6, 4], [10, 2]], 1/149299200], [[[1, 5], [2, 3], [6, 5], [14, 1]], 1/62705664], [[[1, 5], [2, 3], [6, 5], [18, 1]], 1/1990656], [[[1, 5], [2, 3], [7, 1], [11, 1]], 1/14784], [[[1, 5], [2, 3], [7, 2], [8, 1]], 1/6272], [[[1, 5], [2, 3], [8, 1], [10, 3]], 1/384000], [[[1, 5], [2, 3], [8, 2], [10, 2]], 1/307200], [[[1, 5], [2, 3], [9, 1], [11, 1]], 1/50688], [[[1, 5], [2, 3], [18, 1], [22, 1]], 1/304128], [[[1, 5], [2, 5], [3, 1], [4, 6]], 5/1327104], [[[1, 5], [2, 5], [3, 1], [5, 3]], 1/46080], [[[1, 5], [2, 5], [3, 1], [6, 6]], 6911/3869835264], [[[1, 5], [2, 5], [3, 1], [7, 2]], 1/677376], [[[1, 5], [2, 5], [3, 1], [9, 2]], 13/995328], [[[1, 5], [2, 5], [3, 1], [10, 3]], 1/57600], [[[1, 5], [2, 5], [3, 2], [4, 5]], 25/5308416], [[[1, 5], [2, 5], [3, 2], [6, 5]], 13771/429981696], [[[1, 5], [2, 5], [3, 2], [11, 1]], 191/7299072], [[[1, 5], [2, 5], [3, 2], [22, 1]], 5/152064], [[[1, 5], [2, 5], [3, 3], [4, 4]], 599/63700992], [[[1, 5], [2, 5], [3, 3], [5, 2]], 6091/1194393600], [[[1, 5], [2, 5], [3, 3], [6, 4]], 26227/143327232], [[[1, 5], [2, 5], [3, 3], [8, 2]], 1/995328], [[[1, 5], [2, 5], [3, 3], [10, 2]], 1/518400], [[[1, 5], [2, 5], [3, 4], [4, 3]], 9107/2149908480], [[[1, 5], [2, 5], [3, 4], [6, 3]], 26227/143327232], [[[1, 5], [2, 5], [3, 4], [7, 1]], 2039/501645312], [[[1, 5], [2, 5], [3, 4], [9, 1]], 1397/71663616], [[[1, 5], [2, 5], [3, 5], [4, 2]], 25/95551488], [[[1, 5], [2, 5], [3, 5], [5, 1]], 47/179159040], [[[1, 5], [2, 5], [3, 5], [6, 2]], 13771/429981696], [[[1, 5], [2, 5], [3, 5], [8, 1]], 25/71663616], [[[1, 5], [2, 5], [3, 5], [10, 1]], 1/22394880], [[[1, 5], [2, 5], [3, 5], [12, 1]], 1/7962624], [[[1, 5], [2, 5], [3, 6], [4, 1]], 829/9674588160], [[[1, 5], [2, 5], [3, 6], [6, 1]], 6911/3869835264], [[[1, 5], [2, 5], [4, 1], [5, 3]], 297/5120000], [[[1, 5], [2, 5], [4, 1], [6, 6]], 829/9674588160], [[[1, 5], [2, 5], [4, 1], [7, 2]], 1/64512], [[[1, 5], [2, 5], [4, 1], [8, 3]], 23/147456], [[[1, 5], [2, 5], [4, 1], [10, 3]], 297/5120000], [[[1, 5], [2, 5], [4, 1], [14, 2]], 1/64512], [[[1, 5], [2, 5], [4, 2], [6, 5]], 25/95551488], [[[1, 5], [2, 5], [4, 2], [11, 1]], 89/811008], [[[1, 5], [2, 5], [4, 2], [22, 1]], 89/811008], [[[1, 5], [2, 5], [4, 3], [5, 2]], 14989/221184000], [[[1, 5], [2, 5], [4, 3], [6, 4]], 9107/2149908480], [[[1, 5], [2, 5], [4, 3], [8, 2]], 131/294912], [[[1, 5], [2, 5], [4, 3], [10, 2]], 14989/221184000], [[[1, 5], [2, 5], [4, 4], [6, 3]], 599/63700992], [[[1, 5], [2, 5], [4, 4], [7, 1]], 85/1548288], [[[1, 5], [2, 5], [4, 4], [9, 1]], 61/2654208], [[[1, 5], [2, 5], [4, 4], [14, 1]], 85/1548288], [[[1, 5], [2, 5], [4, 4], [18, 1]], 61/2654208], [[[1, 5], [2, 5], [4, 5], [5, 1]], 59/4423680], [[[1, 5], [2, 5], [4, 5], [6, 2]], 25/5308416], [[[1, 5], [2, 5], [4, 5], [8, 1]], 1157/14155776], [[[1, 5], [2, 5], [4, 5], [10, 1]], 59/4423680], [[[1, 5], [2, 5], [4, 5], [12, 1]], 1/98304], [[[1, 5], [2, 5], [4, 6], [6, 1]], 5/1327104], [[[1, 5], [2, 5], [5, 1], [6, 5]], 1/22394880], [[[1, 5], [2, 5], [5, 1], [11, 1]], 71/2027520], [[[1, 5], [2, 5], [5, 1], [22, 1]], 1/42240], [[[1, 5], [2, 5], [5, 2], [6, 3]], 1/518400], [[[1, 5], [2, 5], [5, 2], [7, 1]], 73/2150400], [[[1, 5], [2, 5], [5, 2], [9, 1]], 139/16588800], [[[1, 5], [2, 5], [5, 3], [6, 1]], 1/57600], [[[1, 5], [2, 5], [6, 1], [10, 3]], 1/46080], [[[1, 5], [2, 5], [6, 1], [14, 2]], 1/677376], [[[1, 5], [2, 5], [6, 1], [18, 2]], 13/995328], [[[1, 5], [2, 5], [6, 2], [11, 1]], 5/152064], [[[1, 5], [2, 5], [6, 2], [22, 1]], 191/7299072], [[[1, 5], [2, 5], [6, 3], [8, 2]], 1/995328], [[[1, 5], [2, 5], [6, 3], [10, 2]], 6091/1194393600], [[[1, 5], [2, 5], [6, 4], [14, 1]], 2039/501645312], [[[1, 5], [2, 5], [6, 4], [18, 1]], 1397/71663616], [[[1, 5], [2, 5], [6, 5], [8, 1]], 25/71663616], [[[1, 5], [2, 5], [6, 5], [10, 1]], 47/179159040], [[[1, 5], [2, 5], [6, 5], [12, 1]], 1/7962624], [[[1, 5], [2, 5], [7, 1], [8, 2]], 5/129024], [[[1, 5], [2, 5], [8, 1], [11, 1]], 1/25344], [[[1, 5], [2, 5], [8, 1], [22, 1]], 1/25344], [[[1, 5], [2, 5], [8, 2], [14, 1]], 5/129024], [[[1, 5], [2, 5], [10, 1], [11, 1]], 1/42240], [[[1, 5], [2, 5], [10, 1], [22, 1]], 71/2027520], [[[1, 5], [2, 5], [10, 2], [14, 1]], 73/2150400], [[[1, 5], [2, 5], [10, 2], [18, 1]], 139/16588800], [[[1, 5], [2, 7], [3, 1], [4, 5]], 439/35389440], [[[1, 5], [2, 7], [3, 1], [6, 5]], 151621/6449725440], [[[1, 5], [2, 7], [3, 1], [11, 1]], 19/9123840], [[[1, 5], [2, 7], [3, 1], [22, 1]], 53/4561920], [[[1, 5], [2, 7], [3, 2], [4, 4]], 23/2488320], [[[1, 5], [2, 7], [3, 2], [5, 2]], 323/497664000], [[[1, 5], [2, 7], [3, 2], [6, 4]], 120551/716636160], [[[1, 5], [2, 7], [3, 2], [8, 2]], 1/2654208], [[[1, 5], [2, 7], [3, 2], [10, 2]], 17/1658880], [[[1, 5], [2, 7], [3, 3], [4, 3]], 1567/955514880], [[[1, 5], [2, 7], [3, 3], [6, 3]], 169273/1074954240], [[[1, 5], [2, 7], [3, 3], [7, 1]], 2207/2508226560], [[[1, 5], [2, 7], [3, 3], [9, 1]], 163/67184640], [[[1, 5], [2, 7], [3, 3], [14, 1]], 1/435456], [[[1, 5], [2, 7], [3, 4], [4, 2]], 167/358318080], [[[1, 5], [2, 7], [3, 4], [5, 1]], 1/8957952], [[[1, 5], [2, 7], [3, 4], [6, 2]], 13571/716636160], [[[1, 5], [2, 7], [3, 4], [8, 1]], 383/4299816960], [[[1, 5], [2, 7], [3, 4], [12, 1]], 1/22394880], [[[1, 5], [2, 7], [3, 5], [4, 1]], 457/4299816960], [[[1, 5], [2, 7], [3, 5], [6, 1]], 293/429981696], [[[1, 5], [2, 7], [4, 1], [6, 5]], 380893/64497254400], [[[1, 5], [2, 7], [4, 1], [11, 1]], 293/48660480], [[[1, 5], [2, 7], [4, 1], [22, 1]], 184433/4379443200], [[[1, 5], [2, 7], [4, 2], [5, 2]], 6221/442368000], [[[1, 5], [2, 7], [4, 2], [6, 4]], 8651/238878720], [[[1, 5], [2, 7], [4, 2], [8, 2]], 15139/63700992], [[[1, 5], [2, 7], [4, 2], [10, 2]], 21613/88473600], [[[1, 5], [2, 7], [4, 3], [6, 3]], 1259993/17199267840], [[[1, 5], [2, 7], [4, 3], [7, 1]], 449/30965760], [[[1, 5], [2, 7], [4, 3], [9, 1]], 37/4423680], [[[1, 5], [2, 7], [4, 3], [14, 1]], 130817/928972800], [[[1, 5], [2, 7], [4, 3], [18, 1]], 1907/79626240], [[[1, 5], [2, 7], [4, 4], [5, 1]], 637/22118400], [[[1, 5], [2, 7], [4, 4], [6, 2]], 161/2359296], [[[1, 5], [2, 7], [4, 4], [8, 1]], 11777/70778880], [[[1, 5], [2, 7], [4, 4], [10, 1]], 2377/29491200], [[[1, 5], [2, 7], [4, 4], [12, 1]], 391/13271040], [[[1, 5], [2, 7], [4, 5], [6, 1]], 197/5898240], [[[1, 5], [2, 7], [5, 1], [6, 4]], 17/2799360], [[[1, 5], [2, 7], [5, 1], [8, 2]], 1/737280], [[[1, 5], [2, 7], [5, 1], [10, 2]], 941/9216000], [[[1, 5], [2, 7], [5, 2], [6, 2]], 1/1843200], [[[1, 5], [2, 7], [5, 2], [8, 1]], 107/55296000], [[[1, 5], [2, 7], [5, 2], [10, 1]], 67/2304000], [[[1, 5], [2, 7], [6, 1], [11, 1]], 1/304128], [[[1, 5], [2, 7], [6, 1], [22, 1]], 19/829440], [[[1, 5], [2, 7], [6, 2], [8, 2]], 11/1327104], [[[1, 5], [2, 7], [6, 2], [10, 2]], 6649/99532800], [[[1, 5], [2, 7], [6, 3], [14, 1]], 80161/2508226560], [[[1, 5], [2, 7], [6, 3], [18, 1]], 1099/22394880], [[[1, 5], [2, 7], [6, 4], [8, 1]], 9697/1433272320], [[[1, 5], [2, 7], [6, 4], [10, 1]], 3107/223948800], [[[1, 5], [2, 7], [6, 4], [12, 1]], 17/5971968], [[[1, 5], [2, 7], [7, 1], [9, 1]], 23/34836480], [[[1, 5], [2, 7], [8, 1], [10, 2]], 1259/27648000], [[[1, 5], [2, 7], [8, 2], [10, 1]], 23/1843200], [[[1, 5], [2, 7], [14, 1], [18, 1]], 53/6967296], [[[1, 5], [2, 9], [3, 1], [4, 4]], 1003/119439360], [[[1, 5], [2, 9], [3, 1], [5, 2]], 23/1327104000], [[[1, 5], [2, 9], [3, 1], [6, 4]], 209191/4013162496], [[[1, 5], [2, 9], [3, 1], [8, 2]], 1/13271040], [[[1, 5], [2, 9], [3, 1], [10, 2]], 27313/2090188800], [[[1, 5], [2, 9], [3, 2], [4, 3]], 38197/20065812480], [[[1, 5], [2, 9], [3, 2], [6, 3]], 5391811/72236924928], [[[1, 5], [2, 9], [3, 2], [7, 1]], 1/39813120], [[[1, 5], [2, 9], [3, 2], [9, 1]], 89/1433272320], [[[1, 5], [2, 9], [3, 2], [14, 1]], 53/34836480], [[[1, 5], [2, 9], [3, 2], [18, 1]], 1/44789760], [[[1, 5], [2, 9], [3, 3], [4, 2]], 431/1911029760], [[[1, 5], [2, 9], [3, 3], [5, 1]], 37/14332723200], [[[1, 5], [2, 9], [3, 3], [6, 2]], 24683/2675441664], [[[1, 5], [2, 9], [3, 3], [8, 1]], 1/11466178560], [[[1, 5], [2, 9], [3, 3], [10, 1]], 1/6220800], [[[1, 5], [2, 9], [3, 3], [12, 1]], 1/955514880], [[[1, 5], [2, 9], [3, 4], [4, 1]], 19/3822059520], [[[1, 5], [2, 9], [3, 4], [6, 1]], 2101/17199267840], [[[1, 5], [2, 9], [4, 1], [5, 2]], 203/1769472000], [[[1, 5], [2, 9], [4, 1], [6, 4]], 185445811/5417769369600], [[[1, 5], [2, 9], [4, 1], [8, 2]], 44809/4459069440], [[[1, 5], [2, 9], [4, 1], [10, 2]], 7621961/92897280000], [[[1, 5], [2, 9], [4, 2], [6, 3]], 297757/3344302080], [[[1, 5], [2, 9], [4, 2], [7, 1]], 11/20643840], [[[1, 5], [2, 9], [4, 2], [9, 1]], 7/26542080], [[[1, 5], [2, 9], [4, 2], [14, 1]], 4991/79626240], [[[1, 5], [2, 9], [4, 2], [18, 1]], 229/46448640], [[[1, 5], [2, 9], [4, 3], [5, 1]], 51713/11147673600], [[[1, 5], [2, 9], [4, 3], [6, 2]], 1329947/14332723200], [[[1, 5], [2, 9], [4, 3], [8, 1]], 185239/2972712960], [[[1, 5], [2, 9], [4, 3], [10, 1]], 1653163/18579456000], [[[1, 5], [2, 9], [4, 3], [12, 1]], 1397/445906944], [[[1, 5], [2, 9], [4, 4], [6, 1]], 3359/82575360], [[[1, 5], [2, 9], [5, 1], [6, 3]], 4417/895795200], [[[1, 5], [2, 9], [5, 1], [7, 1]], 19/619315200], [[[1, 5], [2, 9], [5, 1], [9, 1]], 1/199065600], [[[1, 5], [2, 9], [5, 1], [14, 1]], 1/460800], [[[1, 5], [2, 9], [5, 1], [18, 1]], 1/12441600], [[[1, 5], [2, 9], [5, 2], [6, 1]], 1/55296000], [[[1, 5], [2, 9], [6, 1], [8, 2]], 169/92897280], [[[1, 5], [2, 9], [6, 1], [10, 2]], 443323/8360755200], [[[1, 5], [2, 9], [6, 2], [14, 1]], 22661/627056640], [[[1, 5], [2, 9], [6, 2], [18, 1]], 2105/111476736], [[[1, 5], [2, 9], [6, 3], [8, 1]], 52921/4459069440], [[[1, 5], [2, 9], [6, 3], [10, 1]], 656879/16721510400], [[[1, 5], [2, 9], [6, 3], [12, 1]], 487/222953472], [[[1, 5], [2, 9], [7, 1], [8, 1]], 1/15482880], [[[1, 5], [2, 9], [8, 1], [9, 1]], 1/159252480], [[[1, 5], [2, 9], [8, 1], [14, 1]], 613/69672960], [[[1, 5], [2, 9], [8, 1], [18, 1]], 1/6881280], [[[1, 5], [2, 9], [10, 1], [14, 1]], 71441/2786918400], [[[1, 5], [2, 9], [10, 1], [18, 1]], 269/139345920], [[[1, 5], [2, 11], [3, 1], [4, 3]], 58691/40131624960], [[[1, 5], [2, 11], [3, 1], [6, 3]], 85626487/5417769369600], [[[1, 5], [2, 11], [3, 1], [7, 1]], 1/4459069440], [[[1, 5], [2, 11], [3, 1], [9, 1]], 1/1911029760], [[[1, 5], [2, 11], [3, 1], [14, 1]], 4309/6270566400], [[[1, 5], [2, 11], [3, 1], [18, 1]], 173/18811699200], [[[1, 5], [2, 11], [3, 2], [4, 2]], 33931/267544166400], [[[1, 5], [2, 11], [3, 2], [6, 2]], 195743/48157949952], [[[1, 5], [2, 11], [3, 2], [8, 1]], 1/222953472], [[[1, 5], [2, 11], [3, 2], [10, 1]], 1/7838208], [[[1, 5], [2, 11], [3, 3], [4, 1]], 1607/535088332800], [[[1, 5], [2, 11], [3, 3], [6, 1]], 103/2123366400], [[[1, 5], [2, 11], [4, 1], [6, 3]], 26614902119/1191909261312000], [[[1, 5], [2, 11], [4, 1], [7, 1]], 1/297271296], [[[1, 5], [2, 11], [4, 1], [9, 1]], 1/1061683200], [[[1, 5], [2, 11], [4, 1], [14, 1]], 963829/167215104000], [[[1, 5], [2, 11], [4, 1], [18, 1]], 4292599/16554295296000], [[[1, 5], [2, 11], [4, 2], [5, 1]], 6697/24772608000], [[[1, 5], [2, 11], [4, 2], [6, 2]], 869807/26754416640], [[[1, 5], [2, 11], [4, 2], [8, 1]], 928631/178362777600], [[[1, 5], [2, 11], [4, 2], [10, 1]], 251107/13377208320], [[[1, 5], [2, 11], [4, 2], [12, 1]], 13/103219200], [[[1, 5], [2, 11], [4, 3], [6, 1]], 41718769/2407897497600], [[[1, 5], [2, 11], [5, 1], [6, 2]], 1019/1567641600], [[[1, 5], [2, 11], [5, 1], [8, 1]], 1/103219200], [[[1, 5], [2, 11], [5, 1], [10, 1]], 82759/133772083200], [[[1, 5], [2, 11], [6, 1], [14, 1]], 3824327/702303436800], [[[1, 5], [2, 11], [6, 1], [18, 1]], 93629/100329062400], [[[1, 5], [2, 11], [6, 2], [8, 1]], 294151/100329062400], [[[1, 5], [2, 11], [6, 2], [10, 1]], 23687/1433272320], [[[1, 5], [2, 11], [6, 2], [12, 1]], 163/796262400], [[[1, 5], [2, 11], [8, 1], [10, 1]], 16837/11943936000], [[[1, 5], [2, 13], [3, 1], [4, 2]], 62897/735746457600], [[[1, 5], [2, 13], [3, 1], [5, 1]], 1/10450944000], [[[1, 5], [2, 13], [3, 1], [6, 2]], 649261/709469798400], [[[1, 5], [2, 13], [3, 1], [8, 1]], 4567/1891919462400], [[[1, 5], [2, 13], [3, 1], [10, 1]], 383/5518098432], [[[1, 5], [2, 13], [3, 2], [4, 1]], 43/12933043200], [[[1, 5], [2, 13], [3, 2], [6, 1]], 276637/8828957491200], [[[1, 5], [2, 13], [4, 1], [5, 1]], 89189/11036196864000], [[[1, 5], [2, 13], [4, 1], [6, 2]], 585822277/198651543552000], [[[1, 5], [2, 13], [4, 1], [8, 1]], 171067/1261279641600], [[[1, 5], [2, 13], [4, 1], [10, 1]], 29859503/27590492160000], [[[1, 5], [2, 13], [4, 1], [12, 1]], 10973/6621718118400], [[[1, 5], [2, 13], [4, 2], [6, 1]], 144343/66886041600], [[[1, 5], [2, 13], [5, 1], [6, 1]], 263/15676416000], [[[1, 5], [2, 13], [6, 1], [8, 1]], 106367/882895749120], [[[1, 5], [2, 13], [6, 1], [10, 1]], 697933/551809843200], [[[1, 5], [2, 13], [6, 1], [12, 1]], 4093/1471492915200], [[[1, 5], [2, 15], [3, 1], [4, 1]], 45211/22072393728000], [[[1, 5], [2, 15], [3, 1], [6, 1]], 2185801/198651543552000], [[[1, 5], [2, 15], [4, 1], [6, 1]], 54655277/595954630656000], [[[1, 6], [2, 2], [3, 2], [4, 6]], 7/10616832], [[[1, 6], [2, 2], [3, 2], [5, 3]], 1/16000], [[[1, 6], [2, 2], [3, 2], [6, 6]], 1/107495424], [[[1, 6], [2, 2], [3, 2], [7, 2]], 13/84672], [[[1, 6], [2, 2], [3, 2], [9, 2]], 127/2488320], [[[1, 6], [2, 2], [3, 3], [4, 5]], 5/11943936], [[[1, 6], [2, 2], [3, 3], [6, 5]], 1/26873856], [[[1, 6], [2, 2], [3, 3], [11, 1]], 3367/72990720], [[[1, 6], [2, 2], [3, 4], [4, 4]], 1037/1433272320], [[[1, 6], [2, 2], [3, 4], [5, 2]], 1039/74649600], [[[1, 6], [2, 2], [3, 4], [6, 4]], 1771/161243136], [[[1, 6], [2, 2], [3, 4], [8, 2]], 1/1990656], [[[1, 6], [2, 2], [3, 5], [4, 3]], 367/214990848], [[[1, 6], [2, 2], [3, 5], [6, 3]], 337/40310784], [[[1, 6], [2, 2], [3, 5], [7, 1]], 139/10450944], [[[1, 6], [2, 2], [3, 5], [9, 1]], 1829/59719680], [[[1, 6], [2, 2], [3, 6], [4, 2]], 131/107495424], [[[1, 6], [2, 2], [3, 6], [5, 1]], 157/201553920], [[[1, 6], [2, 2], [3, 6], [6, 2]], 35741/2902376448], [[[1, 6], [2, 2], [3, 6], [8, 1]], 5/20155392], [[[1, 6], [2, 2], [3, 6], [10, 1]], 1/6298560], [[[1, 6], [2, 2], [3, 6], [12, 1]], 1/2985984], [[[1, 6], [2, 2], [3, 7], [4, 1]], 221/322486272], [[[1, 6], [2, 2], [3, 7], [6, 1]], 2279/725594112], [[[1, 6], [2, 2], [4, 2], [5, 3]], 23/768000], [[[1, 6], [2, 2], [4, 2], [7, 2]], 1/10752], [[[1, 6], [2, 2], [4, 2], [8, 3]], 1/49152], [[[1, 6], [2, 2], [4, 3], [11, 1]], 203/6082560], [[[1, 6], [2, 2], [4, 4], [5, 2]], 11/2949120], [[[1, 6], [2, 2], [4, 4], [8, 2]], 1/196608], [[[1, 6], [2, 2], [4, 5], [7, 1]], 5/3096576], [[[1, 6], [2, 2], [4, 6], [5, 1]], 1/8847360], [[[1, 6], [2, 2], [4, 6], [8, 1]], 5/7077888], [[[1, 6], [2, 2], [5, 1], [7, 2]], 1/4480], [[[1, 6], [2, 2], [5, 2], [8, 2]], 1/102400], [[[1, 6], [2, 2], [5, 3], [6, 2]], 1/144000], [[[1, 6], [2, 2], [5, 3], [8, 1]], 1/12800], [[[1, 6], [2, 2], [5, 3], [10, 1]], 11/40000], [[[1, 6], [2, 2], [6, 2], [18, 2]], 1/22394880], [[[1, 6], [2, 2], [6, 3], [22, 1]], 1/656916480], [[[1, 6], [2, 2], [6, 5], [18, 1]], 1/1612431360], [[[1, 6], [2, 2], [7, 1], [11, 1]], 1/29568], [[[1, 6], [2, 2], [7, 2], [8, 1]], 1/9408], [[[1, 6], [2, 2], [9, 1], [11, 1]], 7/1013760], [[[1, 6], [2, 2], [18, 1], [22, 1]], 1/9123840], [[[1, 6], [2, 4], [3, 1], [4, 6]], 269/31850496], [[[1, 6], [2, 4], [3, 1], [5, 3]], 23/256000], [[[1, 6], [2, 4], [3, 1], [6, 6]], 91/644972544], [[[1, 6], [2, 4], [3, 1], [7, 2]], 1/13824], [[[1, 6], [2, 4], [3, 1], [9, 2]], 145/8957952], [[[1, 6], [2, 4], [3, 1], [10, 3]], 1/576000], [[[1, 6], [2, 4], [3, 2], [4, 5]], 281/31850496], [[[1, 6], [2, 4], [3, 2], [6, 5]], 5093/1074954240], [[[1, 6], [2, 4], [3, 2], [11, 1]], 1097/21897216], [[[1, 6], [2, 4], [3, 2], [22, 1]], 1/202752], [[[1, 6], [2, 4], [3, 3], [4, 4]], 29063/2293235712], [[[1, 6], [2, 4], [3, 3], [5, 2]], 39289/1194393600], [[[1, 6], [2, 4], [3, 3], [6, 4]], 220507/4299816960], [[[1, 6], [2, 4], [3, 3], [8, 2]], 19/2985984], [[[1, 6], [2, 4], [3, 4], [4, 3]], 4277/214990848], [[[1, 6], [2, 4], [3, 4], [6, 3]], 512767/2579890176], [[[1, 6], [2, 4], [3, 4], [7, 1]], 10649/836075520], [[[1, 6], [2, 4], [3, 4], [9, 1]], 25847/644972544], [[[1, 6], [2, 4], [3, 5], [4, 2]], 8059/859963392], [[[1, 6], [2, 4], [3, 5], [5, 1]], 1313/358318080], [[[1, 6], [2, 4], [3, 5], [6, 2]], 7427/79626240], [[[1, 6], [2, 4], [3, 5], [8, 1]], 247/107495424], [[[1, 6], [2, 4], [3, 5], [10, 1]], 7/2488320], [[[1, 6], [2, 4], [3, 5], [12, 1]], 629/429981696], [[[1, 6], [2, 4], [3, 6], [4, 1]], 425/967458816], [[[1, 6], [2, 4], [3, 6], [6, 1]], 14837/2902376448], [[[1, 6], [2, 4], [4, 1], [5, 3]], 139/768000], [[[1, 6], [2, 4], [4, 1], [6, 6]], 19/3224862720], [[[1, 6], [2, 4], [4, 1], [7, 2]], 13/112896], [[[1, 6], [2, 4], [4, 1], [8, 3]], 1/12288], [[[1, 6], [2, 4], [4, 1], [10, 3]], 7/2560000], [[[1, 6], [2, 4], [4, 2], [6, 5]], 31/1433272320], [[[1, 6], [2, 4], [4, 2], [11, 1]], 1585/9732096], [[[1, 6], [2, 4], [4, 2], [22, 1]], 1007/48660480], [[[1, 6], [2, 4], [4, 3], [5, 2]], 763/7372800], [[[1, 6], [2, 4], [4, 3], [6, 4]], 1/23887872], [[[1, 6], [2, 4], [4, 3], [8, 2]], 839/3538944], [[[1, 6], [2, 4], [4, 3], [10, 2]], 1129/221184000], [[[1, 6], [2, 4], [4, 4], [6, 3]], 5/31850496], [[[1, 6], [2, 4], [4, 4], [7, 1]], 5837/123863040], [[[1, 6], [2, 4], [4, 4], [9, 1]], 77/10616832], [[[1, 6], [2, 4], [4, 4], [14, 1]], 17/1935360], [[[1, 6], [2, 4], [4, 4], [18, 1]], 5/442368], [[[1, 6], [2, 4], [4, 5], [5, 1]], 119/8847360], [[[1, 6], [2, 4], [4, 5], [6, 2]], 1/663552], [[[1, 6], [2, 4], [4, 5], [8, 1]], 4747/70778880], [[[1, 6], [2, 4], [4, 5], [10, 1]], 11/1474560], [[[1, 6], [2, 4], [4, 5], [12, 1]], 1/98304], [[[1, 6], [2, 4], [4, 6], [6, 1]], 1/1179648], [[[1, 6], [2, 4], [5, 1], [11, 1]], 3/45056], [[[1, 6], [2, 4], [5, 1], [22, 1]], 1/506880], [[[1, 6], [2, 4], [5, 2], [6, 3]], 1/518400], [[[1, 6], [2, 4], [5, 2], [7, 1]], 907/6451200], [[[1, 6], [2, 4], [5, 2], [9, 1]], 361/16588800], [[[1, 6], [2, 4], [5, 3], [6, 1]], 1/28800], [[[1, 6], [2, 4], [6, 1], [7, 2]], 1/28224], [[[1, 6], [2, 4], [6, 1], [10, 3]], 1/2304000], [[[1, 6], [2, 4], [6, 1], [18, 2]], 91/44789760], [[[1, 6], [2, 4], [6, 2], [11, 1]], 7/912384], [[[1, 6], [2, 4], [6, 2], [22, 1]], 271/109486080], [[[1, 6], [2, 4], [6, 3], [10, 2]], 751/5971968000], [[[1, 6], [2, 4], [6, 4], [14, 1]], 781/2508226560], [[[1, 6], [2, 4], [6, 4], [18, 1]], 367/214990848], [[[1, 6], [2, 4], [6, 5], [8, 1]], 1/214990848], [[[1, 6], [2, 4], [6, 5], [10, 1]], 31/5374771200], [[[1, 6], [2, 4], [6, 5], [12, 1]], 1/2149908480], [[[1, 6], [2, 4], [7, 1], [8, 2]], 53/1290240], [[[1, 6], [2, 4], [8, 1], [11, 1]], 113/3041280], [[[1, 6], [2, 4], [8, 1], [22, 1]], 1/135168], [[[1, 6], [2, 4], [8, 2], [14, 1]], 1/172032], [[[1, 6], [2, 4], [10, 1], [11, 1]], 1/84480], [[[1, 6], [2, 4], [10, 1], [22, 1]], 41/10137600], [[[1, 6], [2, 4], [10, 2], [14, 1]], 41/32256000], [[[1, 6], [2, 4], [10, 2], [18, 1]], 31/82944000], [[[1, 6], [2, 6], [3, 1], [4, 5]], 457/10616832], [[[1, 6], [2, 6], [3, 1], [6, 5]], 3625/429981696], [[[1, 6], [2, 6], [3, 1], [11, 1]], 1553/109486080], [[[1, 6], [2, 6], [3, 1], [22, 1]], 29/1824768], [[[1, 6], [2, 6], [3, 2], [4, 4]], 1733/39813120], [[[1, 6], [2, 6], [3, 2], [5, 2]], 4057/248832000], [[[1, 6], [2, 6], [3, 2], [6, 4]], 197927/2149908480], [[[1, 6], [2, 6], [3, 2], [8, 2]], 1/294912], [[[1, 6], [2, 6], [3, 2], [10, 2]], 13/1843200], [[[1, 6], [2, 6], [3, 3], [4, 3]], 148931/5733089280], [[[1, 6], [2, 6], [3, 3], [6, 3]], 26933/119439360], [[[1, 6], [2, 6], [3, 3], [7, 1]], 129979/12541132800], [[[1, 6], [2, 6], [3, 3], [9, 1]], 4681/201553920], [[[1, 6], [2, 6], [3, 3], [14, 1]], 1/290304], [[[1, 6], [2, 6], [3, 4], [4, 2]], 57697/10749542400], [[[1, 6], [2, 6], [3, 4], [5, 1]], 6419/2687385600], [[[1, 6], [2, 6], [3, 4], [6, 2]], 197927/2149908480], [[[1, 6], [2, 6], [3, 4], [8, 1]], 581/429981696], [[[1, 6], [2, 6], [3, 4], [10, 1]], 19/22394880], [[[1, 6], [2, 6], [3, 4], [12, 1]], 383/537477120], [[[1, 6], [2, 6], [3, 5], [4, 1]], 2071/1433272320], [[[1, 6], [2, 6], [3, 5], [6, 1]], 3625/429981696], [[[1, 6], [2, 6], [4, 1], [6, 5]], 2071/1433272320], [[[1, 6], [2, 6], [4, 1], [11, 1]], 3413/121651200], [[[1, 6], [2, 6], [4, 1], [22, 1]], 3413/121651200], [[[1, 6], [2, 6], [4, 2], [5, 2]], 48011/442368000], [[[1, 6], [2, 6], [4, 2], [6, 4]], 57697/10749542400], [[[1, 6], [2, 6], [4, 2], [8, 2]], 3121/8847360], [[[1, 6], [2, 6], [4, 2], [10, 2]], 48011/442368000], [[[1, 6], [2, 6], [4, 3], [6, 3]], 148931/5733089280], [[[1, 6], [2, 6], [4, 3], [7, 1]], 16969/185794560], [[[1, 6], [2, 6], [4, 3], [9, 1]], 673/26542080], [[[1, 6], [2, 6], [4, 3], [14, 1]], 16969/185794560], [[[1, 6], [2, 6], [4, 3], [18, 1]], 673/26542080], [[[1, 6], [2, 6], [4, 4], [5, 1]], 361/4147200], [[[1, 6], [2, 6], [4, 4], [6, 2]], 1733/39813120], [[[1, 6], [2, 6], [4, 4], [8, 1]], 30317/106168320], [[[1, 6], [2, 6], [4, 4], [10, 1]], 361/4147200], [[[1, 6], [2, 6], [4, 4], [12, 1]], 95/1769472], [[[1, 6], [2, 6], [4, 5], [6, 1]], 457/10616832], [[[1, 6], [2, 6], [5, 1], [6, 4]], 19/22394880], [[[1, 6], [2, 6], [5, 1], [8, 2]], 7/737280], [[[1, 6], [2, 6], [5, 1], [10, 2]], 817/9216000], [[[1, 6], [2, 6], [5, 2], [6, 2]], 13/1843200], [[[1, 6], [2, 6], [5, 2], [8, 1]], 1/49152], [[[1, 6], [2, 6], [5, 2], [10, 1]], 817/9216000], [[[1, 6], [2, 6], [6, 1], [11, 1]], 29/1824768], [[[1, 6], [2, 6], [6, 1], [22, 1]], 1553/109486080], [[[1, 6], [2, 6], [6, 2], [8, 2]], 1/294912], [[[1, 6], [2, 6], [6, 2], [10, 2]], 4057/248832000], [[[1, 6], [2, 6], [6, 3], [7, 1]], 1/290304], [[[1, 6], [2, 6], [6, 3], [14, 1]], 129979/12541132800], [[[1, 6], [2, 6], [6, 3], [18, 1]], 4681/201553920], [[[1, 6], [2, 6], [6, 4], [8, 1]], 581/429981696], [[[1, 6], [2, 6], [6, 4], [10, 1]], 6419/2687385600], [[[1, 6], [2, 6], [6, 4], [12, 1]], 383/537477120], [[[1, 6], [2, 6], [7, 1], [9, 1]], 799/174182400], [[[1, 6], [2, 6], [8, 1], [10, 2]], 1/49152], [[[1, 6], [2, 6], [8, 2], [10, 1]], 7/737280], [[[1, 6], [2, 6], [14, 1], [18, 1]], 799/174182400], [[[1, 6], [2, 8], [3, 1], [4, 4]], 75179/1911029760], [[[1, 6], [2, 8], [3, 1], [5, 2]], 119/147456000], [[[1, 6], [2, 8], [3, 1], [6, 4]], 38621/955514880], [[[1, 6], [2, 8], [3, 1], [8, 2]], 1/1769472], [[[1, 6], [2, 8], [3, 1], [10, 2]], 1463/82944000], [[[1, 6], [2, 8], [3, 2], [4, 3]], 14009/955514880], [[[1, 6], [2, 8], [3, 2], [6, 3]], 2631959/21499084800], [[[1, 6], [2, 8], [3, 2], [7, 1]], 7/6635520], [[[1, 6], [2, 8], [3, 2], [9, 1]], 899/573308928], [[[1, 6], [2, 8], [3, 2], [14, 1]], 13/2211840], [[[1, 6], [2, 8], [3, 2], [18, 1]], 1/11943936], [[[1, 6], [2, 8], [3, 3], [4, 2]], 52793/15288238080], [[[1, 6], [2, 8], [3, 3], [5, 1]], 4981/14332723200], [[[1, 6], [2, 8], [3, 3], [6, 2]], 263477/5733089280], [[[1, 6], [2, 8], [3, 3], [8, 1]], 151/573308928], [[[1, 6], [2, 8], [3, 3], [10, 1]], 961/1194393600], [[[1, 6], [2, 8], [3, 3], [12, 1]], 7/106168320], [[[1, 6], [2, 8], [3, 4], [4, 1]], 871/2149908480], [[[1, 6], [2, 8], [3, 4], [6, 1]], 17099/6449725440], [[[1, 6], [2, 8], [4, 1], [5, 2]], 1679/442368000], [[[1, 6], [2, 8], [4, 1], [6, 4]], 4157/235146240], [[[1, 6], [2, 8], [4, 1], [8, 2]], 271/7962624], [[[1, 6], [2, 8], [4, 1], [10, 2]], 20987171/278691840000], [[[1, 6], [2, 8], [4, 2], [6, 3]], 5369171/75246796800], [[[1, 6], [2, 8], [4, 2], [7, 1]], 169/22937600], [[[1, 6], [2, 8], [4, 2], [9, 1]], 1579/637009920], [[[1, 6], [2, 8], [4, 2], [14, 1]], 942959/11147673600], [[[1, 6], [2, 8], [4, 2], [18, 1]], 11/1075200], [[[1, 6], [2, 8], [4, 3], [5, 1]], 9209/265420800], [[[1, 6], [2, 8], [4, 3], [6, 2]], 117317/955514880], [[[1, 6], [2, 8], [4, 3], [8, 1]], 6818939/38220595200], [[[1, 6], [2, 8], [4, 3], [10, 1]], 192137/1327104000], [[[1, 6], [2, 8], [4, 3], [12, 1]], 187/13271040], [[[1, 6], [2, 8], [4, 4], [6, 1]], 280639/3185049600], [[[1, 6], [2, 8], [5, 1], [6, 3]], 4483/716636160], [[[1, 6], [2, 8], [5, 1], [7, 1]], 3551/3715891200], [[[1, 6], [2, 8], [5, 1], [9, 1]], 37/199065600], [[[1, 6], [2, 8], [5, 1], [14, 1]], 211/38707200], [[[1, 6], [2, 8], [5, 1], [18, 1]], 1/3317760], [[[1, 6], [2, 8], [5, 2], [6, 1]], 61/55296000], [[[1, 6], [2, 8], [6, 1], [8, 2]], 29/8847360], [[[1, 6], [2, 8], [6, 1], [10, 2]], 1481/39813120], [[[1, 6], [2, 8], [6, 2], [7, 1]], 1/1032192], [[[1, 6], [2, 8], [6, 2], [9, 1]], 1/59719680], [[[1, 6], [2, 8], [6, 2], [14, 1]], 14081/522547200], [[[1, 6], [2, 8], [6, 2], [18, 1]], 1327589/64497254400], [[[1, 6], [2, 8], [6, 3], [8, 1]], 79813/8599633920], [[[1, 6], [2, 8], [6, 3], [10, 1]], 4183607/188116992000], [[[1, 6], [2, 8], [6, 3], [12, 1]], 53/27993600], [[[1, 6], [2, 8], [7, 1], [8, 1]], 139/92897280], [[[1, 6], [2, 8], [7, 1], [10, 1]], 1/2580480], [[[1, 6], [2, 8], [8, 1], [9, 1]], 1/13271040], [[[1, 6], [2, 8], [8, 1], [14, 1]], 85/6193152], [[[1, 6], [2, 8], [8, 1], [18, 1]], 37/119439360], [[[1, 6], [2, 8], [9, 1], [10, 1]], 1/16588800], [[[1, 6], [2, 8], [10, 1], [14, 1]], 275483/11943936000], [[[1, 6], [2, 8], [10, 1], [18, 1]], 6287/2612736000], [[[1, 6], [2, 10], [3, 1], [4, 3]], 2759/297271296], [[[1, 6], [2, 10], [3, 1], [6, 3]], 10679843/361184624640], [[[1, 6], [2, 10], [3, 1], [7, 1]], 109/4459069440], [[[1, 6], [2, 10], [3, 1], [9, 1]], 139/5733089280], [[[1, 6], [2, 10], [3, 1], [14, 1]], 2153/836075520], [[[1, 6], [2, 10], [3, 1], [18, 1]], 23/418037760], [[[1, 6], [2, 10], [3, 2], [4, 2]], 77773/53508833280], [[[1, 6], [2, 10], [3, 2], [5, 1]], 91/9555148800], [[[1, 6], [2, 10], [3, 2], [6, 2]], 41076977/2407897497600], [[[1, 6], [2, 10], [3, 2], [8, 1]], 91/1911029760], [[[1, 6], [2, 10], [3, 2], [10, 1]], 179/232243200], [[[1, 6], [2, 10], [3, 2], [12, 1]], 1/637009920], [[[1, 6], [2, 10], [3, 3], [4, 1]], 8929/114661785600], [[[1, 6], [2, 10], [3, 3], [6, 1]], 6683/10032906240], [[[1, 6], [2, 10], [4, 1], [6, 3]], 561083939/18059231232000], [[[1, 6], [2, 10], [4, 1], [7, 1]], 1/8257536], [[[1, 6], [2, 10], [4, 1], [9, 1]], 49/1592524800], [[[1, 6], [2, 10], [4, 1], [14, 1]], 286553/20901888000], [[[1, 6], [2, 10], [4, 1], [18, 1]], 211219/250822656000], [[[1, 6], [2, 10], [4, 2], [5, 1]], 116573/44590694400], [[[1, 6], [2, 10], [4, 2], [6, 2]], 26080933/401316249600], [[[1, 6], [2, 10], [4, 2], [8, 1]], 3954917/178362777600], [[[1, 6], [2, 10], [4, 2], [10, 1]], 963113/20901888000], [[[1, 6], [2, 10], [4, 2], [12, 1]], 1309/1911029760], [[[1, 6], [2, 10], [4, 3], [6, 1]], 1156723/22295347200], [[[1, 6], [2, 10], [5, 1], [6, 2]], 623/298598400], [[[1, 6], [2, 10], [5, 1], [8, 1]], 59/530841600], [[[1, 6], [2, 10], [5, 1], [10, 1]], 1789121/668860416000], [[[1, 6], [2, 10], [6, 1], [7, 1]], 1/30965760], [[[1, 6], [2, 10], [6, 1], [9, 1]], 1/238878720], [[[1, 6], [2, 10], [6, 1], [14, 1]], 962069/100329062400], [[[1, 6], [2, 10], [6, 1], [18, 1]], 221773/100329062400], [[[1, 6], [2, 10], [6, 2], [8, 1]], 336131/60197437440], [[[1, 6], [2, 10], [6, 2], [10, 1]], 31748513/1504935936000], [[[1, 6], [2, 10], [6, 2], [12, 1]], 131659/300987187200], [[[1, 6], [2, 10], [8, 1], [10, 1]], 60803/16721510400], [[[1, 6], [2, 12], [3, 1], [4, 2]], 673549/891813888000], [[[1, 6], [2, 12], [3, 1], [5, 1]], 199/89181388800], [[[1, 6], [2, 12], [3, 1], [6, 2]], 30116221/8475799191552], [[[1, 6], [2, 12], [3, 1], [8, 1]], 4699/200658124800], [[[1, 6], [2, 12], [3, 1], [10, 1]], 6997/17915904000], [[[1, 6], [2, 12], [3, 1], [12, 1]], 1/50960793600], [[[1, 6], [2, 12], [3, 2], [4, 1]], 35039/802632499200], [[[1, 6], [2, 12], [3, 2], [6, 1]], 76901123/264868724736000], [[[1, 6], [2, 12], [4, 1], [5, 1]], 1603/19110297600], [[[1, 6], [2, 12], [4, 1], [6, 2]], 62143877/7357464576000], [[[1, 6], [2, 12], [4, 1], [8, 1]], 19520539/25225592832000], [[[1, 6], [2, 12], [4, 1], [10, 1]], 23610533/6131220480000], [[[1, 6], [2, 12], [4, 1], [12, 1]], 1091/100329062400], [[[1, 6], [2, 12], [4, 2], [6, 1]], 211375531/24078974976000], [[[1, 6], [2, 12], [5, 1], [6, 1]], 79/716636160], [[[1, 6], [2, 12], [6, 1], [8, 1]], 298379/601974374400], [[[1, 6], [2, 12], [6, 1], [10, 1]], 9810091/3009871872000], [[[1, 6], [2, 12], [6, 1], [12, 1]], 1605409/132434362368000], [[[1, 6], [2, 14], [3, 1], [4, 1]], 304319/13243436236800], [[[1, 6], [2, 14], [3, 1], [6, 1]], 87229/1103619686400], [[[1, 6], [2, 14], [4, 1], [6, 1]], 31507121/66217181184000], [[[1, 6], [3, 1], [4, 2], [5, 3]], 1/192000], [[[1, 6], [3, 1], [4, 2], [7, 2]], 1/56448], [[[1, 6], [3, 1], [4, 2], [9, 2]], 1/746496], [[[1, 6], [3, 1], [4, 4], [5, 2]], 1/1843200], [[[1, 6], [3, 1], [5, 1], [7, 2]], 19/105840], [[[1, 6], [3, 1], [5, 1], [9, 2]], 1/38880], [[[1, 6], [3, 1], [5, 3], [6, 2]], 1/576000], [[[1, 6], [3, 1], [5, 3], [12, 1]], 1/96000], [[[1, 6], [3, 1], [6, 2], [7, 2]], 1/846720], [[[1, 6], [3, 1], [7, 1], [11, 1]], 1/33264], [[[1, 6], [3, 1], [7, 2], [12, 1]], 1/141120], [[[1, 6], [3, 1], [9, 1], [11, 1]], 1/228096], [[[1, 6], [3, 2], [4, 2], [11, 1]], 17/1824768], [[[1, 6], [3, 2], [4, 4], [7, 1]], 1/774144], [[[1, 6], [3, 2], [4, 4], [9, 1]], 5/3981312], [[[1, 6], [3, 2], [5, 1], [11, 1]], 7/95040], [[[1, 6], [3, 2], [5, 2], [7, 1]], 11/100800], [[[1, 6], [3, 2], [5, 2], [9, 1]], 1/14400], [[[1, 6], [3, 2], [6, 2], [11, 1]], 1/1824768], [[[1, 6], [3, 2], [11, 1], [12, 1]], 1/304128], [[[1, 6], [3, 3], [4, 2], [5, 2]], 25/3981312], [[[1, 6], [3, 3], [4, 4], [5, 1]], 1/1658880], [[[1, 6], [3, 3], [5, 2], [6, 2]], 1/345600], [[[1, 6], [3, 3], [5, 2], [12, 1]], 1/57600], [[[1, 6], [3, 3], [7, 1], [9, 1]], 25/489888], [[[1, 6], [3, 4], [4, 2], [7, 1]], 109/69672960], [[[1, 6], [3, 4], [4, 2], [9, 1]], 287/53747712], [[[1, 6], [3, 4], [4, 3], [8, 1]], 1/11943936], [[[1, 6], [3, 4], [5, 1], [7, 1]], 713/52254720], [[[1, 6], [3, 4], [5, 1], [9, 1]], 37/933120], [[[1, 6], [3, 4], [6, 2], [7, 1]], 13/3919104], [[[1, 6], [3, 4], [6, 2], [9, 1]], 1/497664], [[[1, 6], [3, 4], [7, 1], [12, 1]], 13/653184], [[[1, 6], [3, 4], [9, 1], [12, 1]], 1/82944], [[[1, 6], [3, 5], [4, 2], [5, 1]], 5/5971968], [[[1, 6], [3, 5], [4, 2], [6, 2]], 17/214990848], [[[1, 6], [3, 5], [4, 2], [12, 1]], 17/35831808], [[[1, 6], [3, 5], [5, 1], [6, 2]], 13/11197440], [[[1, 6], [3, 5], [5, 1], [12, 1]], 13/1866240], [[[1, 6], [3, 6], [4, 1], [8, 1]], 1/10077696], [[[1, 6], [4, 1], [5, 3], [8, 1]], 1/64000], [[[1, 6], [4, 2], [5, 1], [11, 1]], 1/56320], [[[1, 6], [4, 2], [5, 2], [7, 1]], 1/76800], [[[1, 6], [4, 2], [5, 2], [9, 1]], 1/1382400], [[[1, 6], [4, 3], [5, 2], [8, 1]], 1/614400], [[[1, 6], [4, 4], [5, 1], [7, 1]], 1/5160960], [[[1, 7], [2, 1], [3, 2], [5, 3]], 1/16000], [[[1, 7], [2, 1], [3, 2], [7, 2]], 83/1270080], [[[1, 7], [2, 1], [3, 2], [9, 2]], 17/1244160], [[[1, 7], [2, 1], [3, 3], [4, 5]], 7/17915904], [[[1, 7], [2, 1], [3, 3], [11, 1]], 2521/109486080], [[[1, 7], [2, 1], [3, 4], [4, 4]], 1/5308416], [[[1, 7], [2, 1], [3, 4], [5, 2]], 2861/149299200], [[[1, 7], [2, 1], [3, 5], [4, 3]], 1981/3224862720], [[[1, 7], [2, 1], [3, 5], [6, 3]], 83/53747712], [[[1, 7], [2, 1], [3, 5], [7, 1]], 733/62705664], [[[1, 7], [2, 1], [3, 5], [9, 1]], 193/9953280], [[[1, 7], [2, 1], [3, 6], [4, 2]], 5/11943936], [[[1, 7], [2, 1], [3, 6], [5, 1]], 319/100776960], [[[1, 7], [2, 1], [3, 6], [6, 2]], 1/2985984], [[[1, 7], [2, 1], [3, 6], [8, 1]], 5/10077696], [[[1, 7], [2, 1], [3, 6], [12, 1]], 1/497664], [[[1, 7], [2, 1], [3, 7], [4, 1]], 355/1289945088], [[[1, 7], [2, 1], [3, 7], [6, 1]], 611/483729408], [[[1, 7], [2, 1], [4, 2], [5, 3]], 7/768000], [[[1, 7], [2, 1], [4, 2], [7, 2]], 1/112896], [[[1, 7], [2, 1], [4, 3], [11, 1]], 1013/218972160], [[[1, 7], [2, 1], [4, 4], [5, 2]], 7/14745600], [[[1, 7], [2, 1], [4, 4], [8, 2]], 1/1179648], [[[1, 7], [2, 1], [4, 5], [7, 1]], 1/3870720], [[[1, 7], [2, 1], [5, 1], [7, 2]], 67/705600], [[[1, 7], [2, 1], [5, 3], [8, 1]], 3/128000], [[[1, 7], [2, 1], [5, 3], [10, 1]], 1/16000], [[[1, 7], [2, 1], [7, 1], [11, 1]], 1/221760], [[[1, 7], [2, 1], [7, 2], [8, 1]], 1/94080], [[[1, 7], [2, 1], [9, 1], [11, 1]], 1/1520640], [[[1, 7], [2, 3], [3, 1], [4, 6]], 5/5308416], [[[1, 7], [2, 3], [3, 1], [5, 3]], 259/1728000], [[[1, 7], [2, 3], [3, 1], [6, 6]], 1/6449725440], [[[1, 7], [2, 3], [3, 1], [7, 2]], 11/112896], [[[1, 7], [2, 3], [3, 1], [9, 2]], 41/4976640], [[[1, 7], [2, 3], [3, 2], [4, 5]], 287/31850496], [[[1, 7], [2, 3], [3, 2], [6, 5]], 221/716636160], [[[1, 7], [2, 3], [3, 2], [11, 1]], 1883/36495360], [[[1, 7], [2, 3], [3, 3], [4, 4]], 13679/1433272320], [[[1, 7], [2, 3], [3, 3], [5, 2]], 16777/221184000], [[[1, 7], [2, 3], [3, 3], [6, 4]], 2161/358318080], [[[1, 7], [2, 3], [3, 3], [8, 2]], 5/995328], [[[1, 7], [2, 3], [3, 4], [4, 3]], 2051/179159040], [[[1, 7], [2, 3], [3, 4], [6, 3]], 79777/1612431360], [[[1, 7], [2, 3], [3, 4], [7, 1]], 99227/2508226560], [[[1, 7], [2, 3], [3, 4], [9, 1]], 62839/1074954240], [[[1, 7], [2, 3], [3, 5], [4, 2]], 4247/286654464], [[[1, 7], [2, 3], [3, 5], [5, 1]], 31/3317760], [[[1, 7], [2, 3], [3, 5], [6, 2]], 493051/6449725440], [[[1, 7], [2, 3], [3, 5], [8, 1]], 4123/1612431360], [[[1, 7], [2, 3], [3, 5], [10, 1]], 41/22394880], [[[1, 7], [2, 3], [3, 5], [12, 1]], 115/35831808], [[[1, 7], [2, 3], [3, 6], [4, 1]], 5413/967458816], [[[1, 7], [2, 3], [3, 6], [6, 1]], 12407/716636160], [[[1, 7], [2, 3], [4, 1], [5, 3]], 221/1024000], [[[1, 7], [2, 3], [4, 1], [7, 2]], 121/1128960], [[[1, 7], [2, 3], [4, 1], [8, 3]], 1/98304], [[[1, 7], [2, 3], [4, 1], [10, 3]], 1/15360000], [[[1, 7], [2, 3], [4, 2], [6, 5]], 1/1433272320], [[[1, 7], [2, 3], [4, 2], [11, 1]], 629/8110080], [[[1, 7], [2, 3], [4, 2], [22, 1]], 13/8110080], [[[1, 7], [2, 3], [4, 3], [5, 2]], 5953/110592000], [[[1, 7], [2, 3], [4, 3], [6, 4]], 1/358318080], [[[1, 7], [2, 3], [4, 3], [8, 2]], 47/983040], [[[1, 7], [2, 3], [4, 4], [6, 3]], 1/191102976], [[[1, 7], [2, 3], [4, 4], [7, 1]], 347/15482880], [[[1, 7], [2, 3], [4, 4], [9, 1]], 23/19906560], [[[1, 7], [2, 3], [4, 4], [18, 1]], 1/2654208], [[[1, 7], [2, 3], [4, 5], [5, 1]], 19/4423680], [[[1, 7], [2, 3], [4, 5], [8, 1]], 7259/637009920], [[[1, 7], [2, 3], [4, 5], [10, 1]], 1/2949120], [[[1, 7], [2, 3], [4, 5], [12, 1]], 1/589824], [[[1, 7], [2, 3], [5, 1], [11, 1]], 491/10137600], [[[1, 7], [2, 3], [5, 2], [7, 1]], 917/4608000], [[[1, 7], [2, 3], [5, 2], [9, 1]], 593/27648000], [[[1, 7], [2, 3], [5, 3], [6, 1]], 7/288000], [[[1, 7], [2, 3], [6, 1], [7, 2]], 1/42336], [[[1, 7], [2, 3], [6, 1], [18, 2]], 1/14929920], [[[1, 7], [2, 3], [6, 2], [11, 1]], 1/2280960], [[[1, 7], [2, 3], [6, 2], [22, 1]], 1/36495360], [[[1, 7], [2, 3], [6, 3], [10, 2]], 1/5971968000], [[[1, 7], [2, 3], [6, 4], [14, 1]], 1/2508226560], [[[1, 7], [2, 3], [6, 4], [18, 1]], 13/1074954240], [[[1, 7], [2, 3], [7, 1], [8, 2]], 1/71680], [[[1, 7], [2, 3], [8, 1], [11, 1]], 31/2488320], [[[1, 7], [2, 3], [8, 1], [22, 1]], 1/3041280], [[[1, 7], [2, 3], [10, 1], [11, 1]], 1/633600], [[[1, 7], [2, 3], [10, 1], [22, 1]], 1/10137600], [[[1, 7], [2, 3], [10, 2], [14, 1]], 1/32256000], [[[1, 7], [2, 3], [10, 2], [18, 1]], 1/82944000], [[[1, 7], [2, 5], [3, 1], [4, 5]], 197/5898240], [[[1, 7], [2, 5], [3, 1], [6, 5]], 293/429981696], [[[1, 7], [2, 5], [3, 1], [11, 1]], 19/829440], [[[1, 7], [2, 5], [3, 1], [22, 1]], 1/304128], [[[1, 7], [2, 5], [3, 2], [4, 4]], 161/2359296], [[[1, 7], [2, 5], [3, 2], [5, 2]], 6649/99532800], [[[1, 7], [2, 5], [3, 2], [6, 4]], 13571/716636160], [[[1, 7], [2, 5], [3, 2], [8, 2]], 11/1327104], [[[1, 7], [2, 5], [3, 2], [10, 2]], 1/1843200], [[[1, 7], [2, 5], [3, 3], [4, 3]], 1259993/17199267840], [[[1, 7], [2, 5], [3, 3], [6, 3]], 169273/1074954240], [[[1, 7], [2, 5], [3, 3], [7, 1]], 80161/2508226560], [[[1, 7], [2, 5], [3, 3], [9, 1]], 1099/22394880], [[[1, 7], [2, 5], [3, 4], [4, 2]], 8651/238878720], [[[1, 7], [2, 5], [3, 4], [5, 1]], 3107/223948800], [[[1, 7], [2, 5], [3, 4], [6, 2]], 120551/716636160], [[[1, 7], [2, 5], [3, 4], [8, 1]], 9697/1433272320], [[[1, 7], [2, 5], [3, 4], [10, 1]], 17/2799360], [[[1, 7], [2, 5], [3, 4], [12, 1]], 17/5971968], [[[1, 7], [2, 5], [3, 5], [4, 1]], 380893/64497254400], [[[1, 7], [2, 5], [3, 5], [6, 1]], 151621/6449725440], [[[1, 7], [2, 5], [4, 1], [6, 5]], 457/4299816960], [[[1, 7], [2, 5], [4, 1], [11, 1]], 184433/4379443200], [[[1, 7], [2, 5], [4, 1], [22, 1]], 293/48660480], [[[1, 7], [2, 5], [4, 2], [5, 2]], 21613/88473600], [[[1, 7], [2, 5], [4, 2], [6, 4]], 167/358318080], [[[1, 7], [2, 5], [4, 2], [8, 2]], 15139/63700992], [[[1, 7], [2, 5], [4, 2], [10, 2]], 6221/442368000], [[[1, 7], [2, 5], [4, 3], [6, 3]], 1567/955514880], [[[1, 7], [2, 5], [4, 3], [7, 1]], 130817/928972800], [[[1, 7], [2, 5], [4, 3], [9, 1]], 1907/79626240], [[[1, 7], [2, 5], [4, 3], [14, 1]], 449/30965760], [[[1, 7], [2, 5], [4, 3], [18, 1]], 37/4423680], [[[1, 7], [2, 5], [4, 4], [5, 1]], 2377/29491200], [[[1, 7], [2, 5], [4, 4], [6, 2]], 23/2488320], [[[1, 7], [2, 5], [4, 4], [8, 1]], 11777/70778880], [[[1, 7], [2, 5], [4, 4], [10, 1]], 637/22118400], [[[1, 7], [2, 5], [4, 4], [12, 1]], 391/13271040], [[[1, 7], [2, 5], [4, 5], [6, 1]], 439/35389440], [[[1, 7], [2, 5], [5, 1], [8, 2]], 23/1843200], [[[1, 7], [2, 5], [5, 1], [10, 2]], 67/2304000], [[[1, 7], [2, 5], [5, 2], [6, 2]], 17/1658880], [[[1, 7], [2, 5], [5, 2], [8, 1]], 1259/27648000], [[[1, 7], [2, 5], [5, 2], [10, 1]], 941/9216000], [[[1, 7], [2, 5], [6, 1], [11, 1]], 53/4561920], [[[1, 7], [2, 5], [6, 1], [22, 1]], 19/9123840], [[[1, 7], [2, 5], [6, 2], [8, 2]], 1/2654208], [[[1, 7], [2, 5], [6, 2], [10, 2]], 323/497664000], [[[1, 7], [2, 5], [6, 3], [7, 1]], 1/435456], [[[1, 7], [2, 5], [6, 3], [14, 1]], 2207/2508226560], [[[1, 7], [2, 5], [6, 3], [18, 1]], 163/67184640], [[[1, 7], [2, 5], [6, 4], [8, 1]], 383/4299816960], [[[1, 7], [2, 5], [6, 4], [10, 1]], 1/8957952], [[[1, 7], [2, 5], [6, 4], [12, 1]], 1/22394880], [[[1, 7], [2, 5], [7, 1], [9, 1]], 53/6967296], [[[1, 7], [2, 5], [8, 1], [10, 2]], 107/55296000], [[[1, 7], [2, 5], [8, 2], [10, 1]], 1/737280], [[[1, 7], [2, 5], [14, 1], [18, 1]], 23/34836480], [[[1, 7], [2, 7], [3, 1], [4, 4]], 877/9953280], [[[1, 7], [2, 7], [3, 1], [5, 2]], 11477/995328000], [[[1, 7], [2, 7], [3, 1], [6, 4]], 382583/21499084800], [[[1, 7], [2, 7], [3, 1], [8, 2]], 1/414720], [[[1, 7], [2, 7], [3, 1], [10, 2]], 31/3317760], [[[1, 7], [2, 7], [3, 2], [4, 3]], 12541/191102976], [[[1, 7], [2, 7], [3, 2], [6, 3]], 380747/3583180800], [[[1, 7], [2, 7], [3, 2], [7, 1]], 20567/2090188800], [[[1, 7], [2, 7], [3, 2], [9, 1]], 2177/199065600], [[[1, 7], [2, 7], [3, 2], [14, 1]], 11/1548288], [[[1, 7], [2, 7], [3, 2], [18, 1]], 1/9953280], [[[1, 7], [2, 7], [3, 3], [4, 2]], 331697/14332723200], [[[1, 7], [2, 7], [3, 3], [5, 1]], 101089/17915904000], [[[1, 7], [2, 7], [3, 3], [6, 2]], 380747/3583180800], [[[1, 7], [2, 7], [3, 3], [8, 1]], 4981/1719926784], [[[1, 7], [2, 7], [3, 3], [10, 1]], 1603/597196800], [[[1, 7], [2, 7], [3, 3], [12, 1]], 169/238878720], [[[1, 7], [2, 7], [3, 4], [4, 1]], 23473/4777574400], [[[1, 7], [2, 7], [3, 4], [6, 1]], 382583/21499084800], [[[1, 7], [2, 7], [4, 1], [5, 2]], 22561/737280000], [[[1, 7], [2, 7], [4, 1], [6, 4]], 23473/4777574400], [[[1, 7], [2, 7], [4, 1], [8, 2]], 47/884736], [[[1, 7], [2, 7], [4, 1], [10, 2]], 22561/737280000], [[[1, 7], [2, 7], [4, 2], [6, 3]], 331697/14332723200], [[[1, 7], [2, 7], [4, 2], [7, 1]], 40451/928972800], [[[1, 7], [2, 7], [4, 2], [9, 1]], 1609/199065600], [[[1, 7], [2, 7], [4, 2], [14, 1]], 40451/928972800], [[[1, 7], [2, 7], [4, 2], [18, 1]], 1609/199065600], [[[1, 7], [2, 7], [4, 3], [5, 1]], 9649/88473600], [[[1, 7], [2, 7], [4, 3], [6, 2]], 12541/191102976], [[[1, 7], [2, 7], [4, 3], [8, 1]], 1598243/6370099200], [[[1, 7], [2, 7], [4, 3], [10, 1]], 9649/88473600], [[[1, 7], [2, 7], [4, 3], [12, 1]], 221/8847360], [[[1, 7], [2, 7], [4, 4], [6, 1]], 877/9953280], [[[1, 7], [2, 7], [5, 1], [6, 3]], 1603/597196800], [[[1, 7], [2, 7], [5, 1], [7, 1]], 19781/2322432000], [[[1, 7], [2, 7], [5, 1], [9, 1]], 329/248832000], [[[1, 7], [2, 7], [5, 1], [14, 1]], 19/3870720], [[[1, 7], [2, 7], [5, 1], [18, 1]], 1/2764800], [[[1, 7], [2, 7], [5, 2], [6, 1]], 31/3317760], [[[1, 7], [2, 7], [6, 1], [8, 2]], 1/414720], [[[1, 7], [2, 7], [6, 1], [10, 2]], 11477/995328000], [[[1, 7], [2, 7], [6, 2], [7, 1]], 11/1548288], [[[1, 7], [2, 7], [6, 2], [9, 1]], 1/9953280], [[[1, 7], [2, 7], [6, 2], [14, 1]], 20567/2090188800], [[[1, 7], [2, 7], [6, 2], [18, 1]], 2177/199065600], [[[1, 7], [2, 7], [6, 3], [8, 1]], 4981/1719926784], [[[1, 7], [2, 7], [6, 3], [10, 1]], 101089/17915904000], [[[1, 7], [2, 7], [6, 3], [12, 1]], 169/238878720], [[[1, 7], [2, 7], [7, 1], [8, 1]], 2071/232243200], [[[1, 7], [2, 7], [7, 1], [10, 1]], 19/3870720], [[[1, 7], [2, 7], [8, 1], [9, 1]], 11/39813120], [[[1, 7], [2, 7], [8, 1], [14, 1]], 2071/232243200], [[[1, 7], [2, 7], [8, 1], [18, 1]], 11/39813120], [[[1, 7], [2, 7], [9, 1], [10, 1]], 1/2764800], [[[1, 7], [2, 7], [10, 1], [14, 1]], 19781/2322432000], [[[1, 7], [2, 7], [10, 1], [18, 1]], 329/248832000], [[[1, 7], [2, 9], [3, 1], [4, 3]], 5172533/160526499840], [[[1, 7], [2, 9], [3, 1], [6, 3]], 54043639/1805923123200], [[[1, 7], [2, 9], [3, 1], [7, 1]], 2461/4459069440], [[[1, 7], [2, 9], [3, 1], [9, 1]], 1991/5733089280], [[[1, 7], [2, 9], [3, 1], [14, 1]], 65/13934592], [[[1, 7], [2, 9], [3, 1], [18, 1]], 7/44789760], [[[1, 7], [2, 9], [3, 2], [4, 2]], 68797/7644119040], [[[1, 7], [2, 9], [3, 2], [5, 1]], 2027/4777574400], [[[1, 7], [2, 9], [3, 2], [6, 2]], 1862509/50164531200], [[[1, 7], [2, 9], [3, 2], [8, 1]], 811/1911029760], [[[1, 7], [2, 9], [3, 2], [10, 1]], 7/3317760], [[[1, 7], [2, 9], [3, 2], [12, 1]], 37/955514880], [[[1, 7], [2, 9], [3, 3], [4, 1]], 51977/45864714240], [[[1, 7], [2, 9], [3, 3], [6, 1]], 56431/11466178560], [[[1, 7], [2, 9], [4, 1], [6, 3]], 51678667/2407897497600], [[[1, 7], [2, 9], [4, 1], [7, 1]], 529/353894400], [[[1, 7], [2, 9], [4, 1], [9, 1]], 37/127401984], [[[1, 7], [2, 9], [4, 1], [14, 1]], 539281/33443020800], [[[1, 7], [2, 9], [4, 1], [18, 1]], 15097/11147673600], [[[1, 7], [2, 9], [4, 2], [5, 1]], 1761/131072000], [[[1, 7], [2, 9], [4, 2], [6, 2]], 26359901/401316249600], [[[1, 7], [2, 9], [4, 2], [8, 1]], 3079747/59454259200], [[[1, 7], [2, 9], [4, 2], [10, 1]], 6489821/111476736000], [[[1, 7], [2, 9], [4, 2], [12, 1]], 7/3317760], [[[1, 7], [2, 9], [4, 3], [6, 1]], 4580561/57330892800], [[[1, 7], [2, 9], [5, 1], [6, 2]], 161/49766400], [[[1, 7], [2, 9], [5, 1], [8, 1]], 17/21233664], [[[1, 7], [2, 9], [5, 1], [10, 1]], 609673/95551488000], [[[1, 7], [2, 9], [6, 1], [7, 1]], 31/46448640], [[[1, 7], [2, 9], [6, 1], [9, 1]], 1/19906560], [[[1, 7], [2, 9], [6, 1], [14, 1]], 889337/100329062400], [[[1, 7], [2, 9], [6, 1], [18, 1]], 171907/60197437440], [[[1, 7], [2, 9], [6, 2], [8, 1]], 38627/7166361600], [[[1, 7], [2, 9], [6, 2], [10, 1]], 608941/41803776000], [[[1, 7], [2, 9], [6, 2], [12, 1]], 4069/8360755200], [[[1, 7], [2, 9], [8, 1], [10, 1]], 66677/13934592000], [[[1, 7], [2, 11], [3, 1], [4, 2]], 4827761/1337720832000], [[[1, 7], [2, 11], [3, 1], [5, 1]], 23/796262400], [[[1, 7], [2, 11], [3, 1], [6, 2]], 5312833/687970713600], [[[1, 7], [2, 11], [3, 1], [8, 1]], 100249/802632499200], [[[1, 7], [2, 11], [3, 1], [10, 1]], 28781/25082265600], [[[1, 7], [2, 11], [3, 1], [12, 1]], 1/1415577600], [[[1, 7], [2, 11], [3, 2], [4, 1]], 266827/802632499200], [[[1, 7], [2, 11], [3, 2], [6, 1]], 5730773/4013162496000], [[[1, 7], [2, 11], [4, 1], [5, 1]], 163469/334430208000], [[[1, 7], [2, 11], [4, 1], [6, 2]], 20316271/1504935936000], [[[1, 7], [2, 11], [4, 1], [8, 1]], 40808323/16052649984000], [[[1, 7], [2, 11], [4, 1], [10, 1]], 76539847/10032906240000], [[[1, 7], [2, 11], [4, 1], [12, 1]], 16369/401316249600], [[[1, 7], [2, 11], [4, 2], [6, 1]], 78454891/4013162496000], [[[1, 7], [2, 11], [5, 1], [6, 1]], 2167/5573836800], [[[1, 7], [2, 11], [6, 1], [8, 1]], 2664203/2407897497600], [[[1, 7], [2, 11], [6, 1], [10, 1]], 608731/125411328000], [[[1, 7], [2, 11], [6, 1], [12, 1]], 60439/2006581248000], [[[1, 7], [2, 13], [3, 1], [4, 1]], 9598961/66217181184000], [[[1, 7], [2, 13], [3, 1], [6, 1]], 402221/1203948748800], [[[1, 7], [2, 13], [4, 1], [6, 1]], 6479597/4414478745600], [[[1, 8], [2, 2], [3, 1], [4, 6]], 1/6635520], [[[1, 8], [2, 2], [3, 1], [5, 3]], 11/92160], [[[1, 8], [2, 2], [3, 1], [7, 2]], 73/1693440], [[[1, 8], [2, 2], [3, 1], [9, 2]], 1/552960], [[[1, 8], [2, 2], [3, 2], [4, 5]], 23/31850496], [[[1, 8], [2, 2], [3, 2], [6, 5]], 1/4299816960], [[[1, 8], [2, 2], [3, 2], [11, 1]], 269/12165120], [[[1, 8], [2, 2], [3, 3], [4, 4]], 205349/40131624960], [[[1, 8], [2, 2], [3, 3], [5, 2]], 3427379/41803776000], [[[1, 8], [2, 2], [3, 3], [6, 4]], 1861/6019743744], [[[1, 8], [2, 2], [3, 3], [8, 2]], 1/995328], [[[1, 8], [2, 2], [3, 4], [4, 3]], 8737/1881169920], [[[1, 8], [2, 2], [3, 4], [6, 3]], 33047/12899450880], [[[1, 8], [2, 2], [3, 4], [7, 1]], 29837/836075520], [[[1, 8], [2, 2], [3, 4], [9, 1]], 13571/358318080], [[[1, 8], [2, 2], [3, 5], [4, 2]], 1405/286654464], [[[1, 8], [2, 2], [3, 5], [5, 1]], 84961/5374771200], [[[1, 8], [2, 2], [3, 5], [6, 2]], 1076737/67722117120], [[[1, 8], [2, 2], [3, 5], [8, 1]], 4057/1074954240], [[[1, 8], [2, 2], [3, 5], [10, 1]], 101/335923200], [[[1, 8], [2, 2], [3, 5], [12, 1]], 967/238878720], [[[1, 8], [2, 2], [3, 6], [4, 1]], 2975/644972544], [[[1, 8], [2, 2], [3, 6], [6, 1]], 67279/5804752896], [[[1, 8], [2, 2], [4, 1], [5, 3]], 11/102400], [[[1, 8], [2, 2], [4, 1], [7, 2]], 19/564480], [[[1, 8], [2, 2], [4, 2], [11, 1]], 31/3244032], [[[1, 8], [2, 2], [4, 2], [22, 1]], 1/16220160], [[[1, 8], [2, 2], [4, 3], [5, 2]], 211031/13934592000], [[[1, 8], [2, 2], [4, 3], [8, 2]], 239/53084160], [[[1, 8], [2, 2], [4, 4], [6, 3]], 1/3822059520], [[[1, 8], [2, 2], [4, 4], [7, 1]], 2039/557383680], [[[1, 8], [2, 2], [4, 4], [9, 1]], 53/557383680], [[[1, 8], [2, 2], [4, 4], [18, 1]], 1/53084160], [[[1, 8], [2, 2], [4, 5], [5, 1]], 23/44236800], [[[1, 8], [2, 2], [4, 5], [8, 1]], 1/1572864], [[[1, 8], [2, 2], [5, 1], [11, 1]], 1307/91238400], [[[1, 8], [2, 2], [5, 2], [7, 1]], 961/8294400], [[[1, 8], [2, 2], [5, 2], [9, 1]], 5219/580608000], [[[1, 8], [2, 2], [5, 3], [6, 1]], 1/192000], [[[1, 8], [2, 2], [6, 1], [7, 2]], 1/423360], [[[1, 8], [2, 2], [6, 2], [11, 1]], 1/82114560], [[[1, 8], [2, 2], [7, 1], [8, 2]], 1/860160], [[[1, 8], [2, 2], [8, 1], [11, 1]], 23/18247680], [[[1, 8], [2, 2], [10, 1], [11, 1]], 1/22809600], [[[1, 8], [2, 4], [3, 1], [4, 5]], 239/19906560], [[[1, 8], [2, 4], [3, 1], [6, 5]], 37/6449725440], [[[1, 8], [2, 4], [3, 1], [11, 1]], 2281/131383296], [[[1, 8], [2, 4], [3, 1], [22, 1]], 1/6082560], [[[1, 8], [2, 4], [3, 2], [4, 4]], 7181/191102976], [[[1, 8], [2, 4], [3, 2], [5, 2]], 57941/497664000], [[[1, 8], [2, 4], [3, 2], [6, 4]], 263/238878720], [[[1, 8], [2, 4], [3, 2], [8, 2]], 113/19906560], [[[1, 8], [2, 4], [3, 3], [4, 3]], 1040557/17199267840], [[[1, 8], [2, 4], [3, 3], [6, 3]], 419333/11287019520], [[[1, 8], [2, 4], [3, 3], [7, 1]], 40807/716636160], [[[1, 8], [2, 4], [3, 3], [9, 1]], 29419/537477120], [[[1, 8], [2, 4], [3, 4], [4, 2]], 117343/2149908480], [[[1, 8], [2, 4], [3, 4], [5, 1]], 256621/8360755200], [[[1, 8], [2, 4], [3, 4], [6, 2]], 274723/2149908480], [[[1, 8], [2, 4], [3, 4], [8, 1]], 74663/7524679680], [[[1, 8], [2, 4], [3, 4], [10, 1]], 61/12441600], [[[1, 8], [2, 4], [3, 4], [12, 1]], 2389/537477120], [[[1, 8], [2, 4], [3, 5], [4, 1]], 243781/12899450880], [[[1, 8], [2, 4], [3, 5], [6, 1]], 826037/19349176320], [[[1, 8], [2, 4], [4, 1], [6, 5]], 1/4299816960], [[[1, 8], [2, 4], [4, 1], [11, 1]], 4883/218972160], [[[1, 8], [2, 4], [4, 1], [22, 1]], 13/24330240], [[[1, 8], [2, 4], [4, 2], [5, 2]], 96707/442368000], [[[1, 8], [2, 4], [4, 2], [6, 4]], 1/59719680], [[[1, 8], [2, 4], [4, 2], [8, 2]], 1519/26542080], [[[1, 8], [2, 4], [4, 2], [10, 2]], 17/49152000], [[[1, 8], [2, 4], [4, 3], [6, 3]], 23/382205952], [[[1, 8], [2, 4], [4, 3], [7, 1]], 4637/61931520], [[[1, 8], [2, 4], [4, 3], [9, 1]], 1549/238878720], [[[1, 8], [2, 4], [4, 3], [14, 1]], 13/20643840], [[[1, 8], [2, 4], [4, 3], [18, 1]], 19/26542080], [[[1, 8], [2, 4], [4, 4], [5, 1]], 57961/1857945600], [[[1, 8], [2, 4], [4, 4], [6, 2]], 481/637009920], [[[1, 8], [2, 4], [4, 4], [8, 1]], 2509/63700992], [[[1, 8], [2, 4], [4, 4], [10, 1]], 3809/1592524800], [[[1, 8], [2, 4], [4, 4], [12, 1]], 121/29859840], [[[1, 8], [2, 4], [4, 5], [6, 1]], 19/13271040], [[[1, 8], [2, 4], [5, 1], [8, 2]], 221/38707200], [[[1, 8], [2, 4], [5, 1], [10, 2]], 263/82944000], [[[1, 8], [2, 4], [5, 2], [6, 2]], 181/41472000], [[[1, 8], [2, 4], [5, 2], [8, 1]], 35569/870912000], [[[1, 8], [2, 4], [5, 2], [10, 1]], 20561/414720000], [[[1, 8], [2, 4], [6, 1], [11, 1]], 527/164229120], [[[1, 8], [2, 4], [6, 1], [22, 1]], 1/13271040], [[[1, 8], [2, 4], [6, 2], [10, 2]], 1/331776000], [[[1, 8], [2, 4], [6, 3], [7, 1]], 1/4354560], [[[1, 8], [2, 4], [6, 3], [14, 1]], 5/668860416], [[[1, 8], [2, 4], [6, 3], [18, 1]], 17/358318080], [[[1, 8], [2, 4], [6, 4], [10, 1]], 1/7166361600], [[[1, 8], [2, 4], [7, 1], [9, 1]], 353/69672960], [[[1, 8], [2, 4], [8, 1], [10, 2]], 1/27648000], [[[1, 8], [2, 4], [14, 1], [18, 1]], 1/46448640], [[[1, 8], [2, 6], [3, 1], [4, 4]], 280639/3185049600], [[[1, 8], [2, 6], [3, 1], [5, 2]], 1481/39813120], [[[1, 8], [2, 6], [3, 1], [6, 4]], 17099/6449725440], [[[1, 8], [2, 6], [3, 1], [8, 2]], 29/8847360], [[[1, 8], [2, 6], [3, 1], [10, 2]], 61/55296000], [[[1, 8], [2, 6], [3, 2], [4, 3]], 117317/955514880], [[[1, 8], [2, 6], [3, 2], [6, 3]], 263477/5733089280], [[[1, 8], [2, 6], [3, 2], [7, 1]], 14081/522547200], [[[1, 8], [2, 6], [3, 2], [9, 1]], 1327589/64497254400], [[[1, 8], [2, 6], [3, 2], [14, 1]], 1/1032192], [[[1, 8], [2, 6], [3, 2], [18, 1]], 1/59719680], [[[1, 8], [2, 6], [3, 3], [4, 2]], 5369171/75246796800], [[[1, 8], [2, 6], [3, 3], [5, 1]], 4183607/188116992000], [[[1, 8], [2, 6], [3, 3], [6, 2]], 2631959/21499084800], [[[1, 8], [2, 6], [3, 3], [8, 1]], 79813/8599633920], [[[1, 8], [2, 6], [3, 3], [10, 1]], 4483/716636160], [[[1, 8], [2, 6], [3, 3], [12, 1]], 53/27993600], [[[1, 8], [2, 6], [3, 4], [4, 1]], 4157/235146240], [[[1, 8], [2, 6], [3, 4], [6, 1]], 38621/955514880], [[[1, 8], [2, 6], [4, 1], [5, 2]], 20987171/278691840000], [[[1, 8], [2, 6], [4, 1], [6, 4]], 871/2149908480], [[[1, 8], [2, 6], [4, 1], [8, 2]], 271/7962624], [[[1, 8], [2, 6], [4, 1], [10, 2]], 1679/442368000], [[[1, 8], [2, 6], [4, 2], [6, 3]], 52793/15288238080], [[[1, 8], [2, 6], [4, 2], [7, 1]], 942959/11147673600], [[[1, 8], [2, 6], [4, 2], [9, 1]], 11/1075200], [[[1, 8], [2, 6], [4, 2], [14, 1]], 169/22937600], [[[1, 8], [2, 6], [4, 2], [18, 1]], 1579/637009920], [[[1, 8], [2, 6], [4, 3], [5, 1]], 192137/1327104000], [[[1, 8], [2, 6], [4, 3], [6, 2]], 14009/955514880], [[[1, 8], [2, 6], [4, 3], [8, 1]], 6818939/38220595200], [[[1, 8], [2, 6], [4, 3], [10, 1]], 9209/265420800], [[[1, 8], [2, 6], [4, 3], [12, 1]], 187/13271040], [[[1, 8], [2, 6], [4, 4], [6, 1]], 75179/1911029760], [[[1, 8], [2, 6], [5, 1], [6, 3]], 961/1194393600], [[[1, 8], [2, 6], [5, 1], [7, 1]], 275483/11943936000], [[[1, 8], [2, 6], [5, 1], [9, 1]], 6287/2612736000], [[[1, 8], [2, 6], [5, 1], [14, 1]], 1/2580480], [[[1, 8], [2, 6], [5, 1], [18, 1]], 1/16588800], [[[1, 8], [2, 6], [5, 2], [6, 1]], 1463/82944000], [[[1, 8], [2, 6], [6, 1], [8, 2]], 1/1769472], [[[1, 8], [2, 6], [6, 1], [10, 2]], 119/147456000], [[[1, 8], [2, 6], [6, 2], [7, 1]], 13/2211840], [[[1, 8], [2, 6], [6, 2], [9, 1]], 1/11943936], [[[1, 8], [2, 6], [6, 2], [14, 1]], 7/6635520], [[[1, 8], [2, 6], [6, 2], [18, 1]], 899/573308928], [[[1, 8], [2, 6], [6, 3], [8, 1]], 151/573308928], [[[1, 8], [2, 6], [6, 3], [10, 1]], 4981/14332723200], [[[1, 8], [2, 6], [6, 3], [12, 1]], 7/106168320], [[[1, 8], [2, 6], [7, 1], [8, 1]], 85/6193152], [[[1, 8], [2, 6], [7, 1], [10, 1]], 211/38707200], [[[1, 8], [2, 6], [8, 1], [9, 1]], 37/119439360], [[[1, 8], [2, 6], [8, 1], [14, 1]], 139/92897280], [[[1, 8], [2, 6], [8, 1], [18, 1]], 1/13271040], [[[1, 8], [2, 6], [9, 1], [10, 1]], 1/3317760], [[[1, 8], [2, 6], [10, 1], [14, 1]], 3551/3715891200], [[[1, 8], [2, 6], [10, 1], [18, 1]], 37/199065600], [[[1, 8], [2, 8], [3, 1], [4, 3]], 156737/2388787200], [[[1, 8], [2, 8], [3, 1], [6, 3]], 16069/895795200], [[[1, 8], [2, 8], [3, 1], [7, 1]], 86521/22295347200], [[[1, 8], [2, 8], [3, 1], [9, 1]], 51079/28665446400], [[[1, 8], [2, 8], [3, 1], [14, 1]], 557/154828800], [[[1, 8], [2, 8], [3, 1], [18, 1]], 7/39813120], [[[1, 8], [2, 8], [3, 2], [4, 2]], 431681/12740198400], [[[1, 8], [2, 8], [3, 2], [5, 1]], 225097/47775744000], [[[1, 8], [2, 8], [3, 2], [6, 2]], 2098159/42998169600], [[[1, 8], [2, 8], [3, 2], [8, 1]], 1163/477757440], [[[1, 8], [2, 8], [3, 2], [10, 1]], 1/311040], [[[1, 8], [2, 8], [3, 2], [12, 1]], 89/353894400], [[[1, 8], [2, 8], [3, 3], [4, 1]], 1121/143327232], [[[1, 8], [2, 8], [3, 3], [6, 1]], 16069/895795200], [[[1, 8], [2, 8], [4, 1], [6, 3]], 1121/143327232], [[[1, 8], [2, 8], [4, 1], [7, 1]], 1489/185794560], [[[1, 8], [2, 8], [4, 1], [9, 1]], 151/149299200], [[[1, 8], [2, 8], [4, 1], [14, 1]], 1489/185794560], [[[1, 8], [2, 8], [4, 1], [18, 1]], 151/149299200], [[[1, 8], [2, 8], [4, 2], [5, 1]], 2902517/74317824000], [[[1, 8], [2, 8], [4, 2], [6, 2]], 431681/12740198400], [[[1, 8], [2, 8], [4, 2], [8, 1]], 1286389/19110297600], [[[1, 8], [2, 8], [4, 2], [10, 1]], 2902517/74317824000], [[[1, 8], [2, 8], [4, 2], [12, 1]], 23/6635520], [[[1, 8], [2, 8], [4, 3], [6, 1]], 156737/2388787200], [[[1, 8], [2, 8], [5, 1], [6, 2]], 1/311040], [[[1, 8], [2, 8], [5, 1], [8, 1]], 2087/663552000], [[[1, 8], [2, 8], [5, 1], [10, 1]], 41581/4777574400], [[[1, 8], [2, 8], [6, 1], [7, 1]], 557/154828800], [[[1, 8], [2, 8], [6, 1], [9, 1]], 7/39813120], [[[1, 8], [2, 8], [6, 1], [14, 1]], 86521/22295347200], [[[1, 8], [2, 8], [6, 1], [18, 1]], 51079/28665446400], [[[1, 8], [2, 8], [6, 2], [8, 1]], 1163/477757440], [[[1, 8], [2, 8], [6, 2], [10, 1]], 225097/47775744000], [[[1, 8], [2, 8], [6, 2], [12, 1]], 89/353894400], [[[1, 8], [2, 8], [8, 1], [10, 1]], 2087/663552000], [[[1, 8], [2, 10], [3, 1], [4, 2]], 1795309/178362777600], [[[1, 8], [2, 10], [3, 1], [5, 1]], 5603/19110297600], [[[1, 8], [2, 10], [3, 1], [6, 2]], 284416469/28894769971200], [[[1, 8], [2, 10], [3, 1], [8, 1]], 7981/19110297600], [[[1, 8], [2, 10], [3, 1], [10, 1]], 49247/27869184000], [[[1, 8], [2, 10], [3, 1], [12, 1]], 37/5096079360], [[[1, 8], [2, 10], [3, 2], [4, 1]], 66193/38220595200], [[[1, 8], [2, 10], [3, 2], [6, 1]], 80490989/19263179980800], [[[1, 8], [2, 10], [4, 1], [5, 1]], 60761/31850496000], [[[1, 8], [2, 10], [4, 1], [6, 2]], 14312021/1203948748800], [[[1, 8], [2, 10], [4, 1], [8, 1]], 1818647/356725555200], [[[1, 8], [2, 10], [4, 1], [10, 1]], 349849/41803776000], [[[1, 8], [2, 10], [4, 1], [12, 1]], 871/9555148800], [[[1, 8], [2, 10], [4, 2], [6, 1]], 13216579/535088332800], [[[1, 8], [2, 10], [5, 1], [6, 1]], 671/796262400], [[[1, 8], [2, 10], [6, 1], [8, 1]], 183241/133772083200], [[[1, 8], [2, 10], [6, 1], [10, 1]], 16211737/4013162496000], [[[1, 8], [2, 10], [6, 1], [12, 1]], 4919/118908518400], [[[1, 8], [2, 12], [3, 1], [4, 1]], 2118419/4013162496000], [[[1, 8], [2, 12], [3, 1], [6, 1]], 332993719/397303087104000], [[[1, 8], [2, 12], [4, 1], [6, 1]], 32408119/12039487488000], [[[1, 8], [3, 1], [4, 2], [11, 1]], 19/27371520], [[[1, 8], [3, 1], [4, 4], [7, 1]], 1/4423680], [[[1, 8], [3, 1], [4, 4], [9, 1]], 1/7962624], [[[1, 8], [3, 1], [5, 1], [11, 1]], 7/760320], [[[1, 8], [3, 1], [5, 2], [7, 1]], 1/17920], [[[1, 8], [3, 1], [5, 2], [9, 1]], 19/691200], [[[1, 8], [3, 1], [6, 2], [11, 1]], 1/510935040], [[[1, 8], [3, 1], [11, 1], [12, 1]], 1/85155840], [[[1, 8], [3, 2], [4, 2], [5, 2]], 77/16588800], [[[1, 8], [3, 2], [4, 4], [5, 1]], 1/4423680], [[[1, 8], [3, 2], [5, 2], [6, 2]], 1/1843200], [[[1, 8], [3, 2], [5, 2], [12, 1]], 1/307200], [[[1, 8], [3, 2], [7, 1], [9, 1]], 347/39191040], [[[1, 8], [3, 3], [4, 2], [7, 1]], 2729/836075520], [[[1, 8], [3, 3], [4, 2], [9, 1]], 103/44789760], [[[1, 8], [3, 3], [4, 3], [8, 1]], 1/5971968], [[[1, 8], [3, 3], [5, 1], [7, 1]], 485921/14631321600], [[[1, 8], [3, 3], [5, 1], [9, 1]], 1/43740], [[[1, 8], [3, 3], [6, 2], [7, 1]], 1/2985984], [[[1, 8], [3, 3], [6, 2], [9, 1]], 47/418037760], [[[1, 8], [3, 3], [7, 1], [12, 1]], 1/497664], [[[1, 8], [3, 3], [9, 1], [12, 1]], 47/69672960], [[[1, 8], [3, 4], [4, 2], [5, 1]], 7993/4180377600], [[[1, 8], [3, 4], [4, 2], [6, 2]], 1/67184640], [[[1, 8], [3, 4], [4, 2], [12, 1]], 1/11197440], [[[1, 8], [3, 4], [5, 1], [6, 2]], 23/44789760], [[[1, 8], [3, 4], [5, 1], [12, 1]], 23/7464960], [[[1, 8], [3, 5], [4, 1], [8, 1]], 101/537477120], [[[1, 8], [4, 1], [8, 1], [11, 1]], 1/36495360], [[[1, 8], [4, 2], [7, 1], [9, 1]], 1/11612160], [[[1, 8], [4, 3], [7, 1], [8, 1]], 1/5160960], [[[1, 8], [5, 1], [7, 1], [9, 1]], 401/203212800], [[[1, 9], [2, 1], [3, 1], [5, 3]], 49/1152000], [[[1, 9], [2, 1], [3, 1], [7, 2]], 229/30481920], [[[1, 9], [2, 1], [3, 1], [9, 2]], 1/6967296], [[[1, 9], [2, 1], [3, 2], [4, 5]], 41/477757440], [[[1, 9], [2, 1], [3, 2], [11, 1]], 967/255467520], [[[1, 9], [2, 1], [3, 3], [4, 4]], 1/7962624], [[[1, 9], [2, 1], [3, 3], [5, 2]], 1633739/41803776000], [[[1, 9], [2, 1], [3, 4], [4, 3]], 24797/19349176320], [[[1, 9], [2, 1], [3, 4], [6, 3]], 617/5016453120], [[[1, 9], [2, 1], [3, 4], [7, 1]], 209183/17557585920], [[[1, 9], [2, 1], [3, 4], [9, 1]], 8263/836075520], [[[1, 9], [2, 1], [3, 5], [4, 2]], 6403/10032906240], [[[1, 9], [2, 1], [3, 5], [5, 1]], 949/107495424], [[[1, 9], [2, 1], [3, 5], [6, 2]], 49/238878720], [[[1, 9], [2, 1], [3, 5], [8, 1]], 1091/1074954240], [[[1, 9], [2, 1], [3, 5], [12, 1]], 49/39813120], [[[1, 9], [2, 1], [3, 6], [4, 1]], 1037/1074954240], [[[1, 9], [2, 1], [3, 6], [6, 1]], 92737/45148078080], [[[1, 9], [2, 1], [4, 1], [5, 3]], 53/3072000], [[[1, 9], [2, 1], [4, 1], [7, 2]], 11/4064256], [[[1, 9], [2, 1], [4, 2], [11, 1]], 1/9123840], [[[1, 9], [2, 1], [4, 3], [5, 2]], 29843/13934592000], [[[1, 9], [2, 1], [4, 4], [7, 1]], 1/7741440], [[[1, 9], [2, 1], [4, 5], [5, 1]], 53/928972800], [[[1, 9], [2, 1], [4, 5], [8, 1]], 1/28311552], [[[1, 9], [2, 1], [5, 1], [11, 1]], 919/638668800], [[[1, 9], [2, 1], [5, 2], [7, 1]], 53939/2032128000], [[[1, 9], [2, 1], [5, 2], [9, 1]], 779/580608000], [[[1, 9], [2, 1], [8, 1], [11, 1]], 1/31933440], [[[1, 9], [2, 3], [3, 1], [4, 5]], 1847/955514880], [[[1, 9], [2, 3], [3, 1], [11, 1]], 169/27371520], [[[1, 9], [2, 3], [3, 2], [4, 4]], 45677/5016453120], [[[1, 9], [2, 3], [3, 2], [5, 2]], 117581/1161216000], [[[1, 9], [2, 3], [3, 2], [6, 4]], 79/5016453120], [[[1, 9], [2, 3], [3, 2], [8, 2]], 17/13271040], [[[1, 9], [2, 3], [3, 3], [4, 3]], 142771/6688604160], [[[1, 9], [2, 3], [3, 3], [6, 3]], 9083/4514807808], [[[1, 9], [2, 3], [3, 3], [7, 1]], 111053/2508226560], [[[1, 9], [2, 3], [3, 3], [9, 1]], 2083/67184640], [[[1, 9], [2, 3], [3, 4], [4, 2]], 7919/278691840], [[[1, 9], [2, 3], [3, 4], [5, 1]], 14143/391910400], [[[1, 9], [2, 3], [3, 4], [6, 2]], 1580311/45148078080], [[[1, 9], [2, 3], [3, 4], [8, 1]], 328769/38698352640], [[[1, 9], [2, 3], [3, 4], [10, 1]], 11/7838208], [[[1, 9], [2, 3], [3, 4], [12, 1]], 5/1492992], [[[1, 9], [2, 3], [3, 5], [4, 1]], 220889/12899450880], [[[1, 9], [2, 3], [3, 5], [6, 1]], 446893/15049359360], [[[1, 9], [2, 3], [4, 1], [11, 1]], 1381/278691840], [[[1, 9], [2, 3], [4, 1], [22, 1]], 1/64880640], [[[1, 9], [2, 3], [4, 2], [5, 2]], 27121/344064000], [[[1, 9], [2, 3], [4, 2], [8, 2]], 7373/1486356480], [[[1, 9], [2, 3], [4, 2], [10, 2]], 1/147456000], [[[1, 9], [2, 3], [4, 3], [6, 3]], 1/2293235712], [[[1, 9], [2, 3], [4, 3], [7, 1]], 1303/92897280], [[[1, 9], [2, 3], [4, 3], [9, 1]], 169/278691840], [[[1, 9], [2, 3], [4, 3], [14, 1]], 1/41287680], [[[1, 9], [2, 3], [4, 3], [18, 1]], 1/31850496], [[[1, 9], [2, 3], [4, 4], [5, 1]], 5017/696729600], [[[1, 9], [2, 3], [4, 4], [6, 2]], 1/212336640], [[[1, 9], [2, 3], [4, 4], [8, 1]], 46769/8918138880], [[[1, 9], [2, 3], [4, 4], [10, 1]], 11/176947200], [[[1, 9], [2, 3], [4, 4], [12, 1]], 1/13271040], [[[1, 9], [2, 3], [4, 5], [6, 1]], 211/1486356480], [[[1, 9], [2, 3], [5, 1], [8, 2]], 23/25804800], [[[1, 9], [2, 3], [5, 1], [10, 2]], 13/165888000], [[[1, 9], [2, 3], [5, 2], [6, 2]], 3427/5225472000], [[[1, 9], [2, 3], [5, 2], [8, 1]], 55621/3483648000], [[[1, 9], [2, 3], [5, 2], [10, 1]], 4003/362880000], [[[1, 9], [2, 3], [6, 1], [11, 1]], 1/3421440], [[[1, 9], [2, 3], [7, 1], [9, 1]], 53/34836480], [[[1, 9], [2, 5], [3, 1], [4, 4]], 3359/82575360], [[[1, 9], [2, 5], [3, 1], [5, 2]], 443323/8360755200], [[[1, 9], [2, 5], [3, 1], [6, 4]], 2101/17199267840], [[[1, 9], [2, 5], [3, 1], [8, 2]], 169/92897280], [[[1, 9], [2, 5], [3, 1], [10, 2]], 1/55296000], [[[1, 9], [2, 5], [3, 2], [4, 3]], 1329947/14332723200], [[[1, 9], [2, 5], [3, 2], [6, 3]], 24683/2675441664], [[[1, 9], [2, 5], [3, 2], [7, 1]], 22661/627056640], [[[1, 9], [2, 5], [3, 2], [9, 1]], 2105/111476736], [[[1, 9], [2, 5], [3, 3], [4, 2]], 297757/3344302080], [[[1, 9], [2, 5], [3, 3], [5, 1]], 656879/16721510400], [[[1, 9], [2, 5], [3, 3], [6, 2]], 5391811/72236924928], [[[1, 9], [2, 5], [3, 3], [8, 1]], 52921/4459069440], [[[1, 9], [2, 5], [3, 3], [10, 1]], 4417/895795200], [[[1, 9], [2, 5], [3, 3], [12, 1]], 487/222953472], [[[1, 9], [2, 5], [3, 4], [4, 1]], 185445811/5417769369600], [[[1, 9], [2, 5], [3, 4], [6, 1]], 209191/4013162496], [[[1, 9], [2, 5], [4, 1], [5, 2]], 7621961/92897280000], [[[1, 9], [2, 5], [4, 1], [6, 4]], 19/3822059520], [[[1, 9], [2, 5], [4, 1], [8, 2]], 44809/4459069440], [[[1, 9], [2, 5], [4, 1], [10, 2]], 203/1769472000], [[[1, 9], [2, 5], [4, 2], [6, 3]], 431/1911029760], [[[1, 9], [2, 5], [4, 2], [7, 1]], 4991/79626240], [[[1, 9], [2, 5], [4, 2], [9, 1]], 229/46448640], [[[1, 9], [2, 5], [4, 2], [14, 1]], 11/20643840], [[[1, 9], [2, 5], [4, 2], [18, 1]], 7/26542080], [[[1, 9], [2, 5], [4, 3], [5, 1]], 1653163/18579456000], [[[1, 9], [2, 5], [4, 3], [6, 2]], 38197/20065812480], [[[1, 9], [2, 5], [4, 3], [8, 1]], 185239/2972712960], [[[1, 9], [2, 5], [4, 3], [10, 1]], 51713/11147673600], [[[1, 9], [2, 5], [4, 3], [12, 1]], 1397/445906944], [[[1, 9], [2, 5], [4, 4], [6, 1]], 1003/119439360], [[[1, 9], [2, 5], [5, 1], [6, 3]], 1/6220800], [[[1, 9], [2, 5], [5, 1], [7, 1]], 71441/2786918400], [[[1, 9], [2, 5], [5, 1], [9, 1]], 269/139345920], [[[1, 9], [2, 5], [5, 2], [6, 1]], 27313/2090188800], [[[1, 9], [2, 5], [6, 1], [8, 2]], 1/13271040], [[[1, 9], [2, 5], [6, 1], [10, 2]], 23/1327104000], [[[1, 9], [2, 5], [6, 2], [7, 1]], 53/34836480], [[[1, 9], [2, 5], [6, 2], [9, 1]], 1/44789760], [[[1, 9], [2, 5], [6, 2], [14, 1]], 1/39813120], [[[1, 9], [2, 5], [6, 2], [18, 1]], 89/1433272320], [[[1, 9], [2, 5], [6, 3], [8, 1]], 1/11466178560], [[[1, 9], [2, 5], [6, 3], [10, 1]], 37/14332723200], [[[1, 9], [2, 5], [6, 3], [12, 1]], 1/955514880], [[[1, 9], [2, 5], [7, 1], [8, 1]], 613/69672960], [[[1, 9], [2, 5], [7, 1], [10, 1]], 1/460800], [[[1, 9], [2, 5], [8, 1], [9, 1]], 1/6881280], [[[1, 9], [2, 5], [8, 1], [14, 1]], 1/15482880], [[[1, 9], [2, 5], [8, 1], [18, 1]], 1/159252480], [[[1, 9], [2, 5], [9, 1], [10, 1]], 1/12441600], [[[1, 9], [2, 5], [10, 1], [14, 1]], 19/619315200], [[[1, 9], [2, 5], [10, 1], [18, 1]], 1/199065600], [[[1, 9], [2, 7], [3, 1], [4, 3]], 4580561/57330892800], [[[1, 9], [2, 7], [3, 1], [6, 3]], 56431/11466178560], [[[1, 9], [2, 7], [3, 1], [7, 1]], 889337/100329062400], [[[1, 9], [2, 7], [3, 1], [9, 1]], 171907/60197437440], [[[1, 9], [2, 7], [3, 1], [14, 1]], 31/46448640], [[[1, 9], [2, 7], [3, 1], [18, 1]], 1/19906560], [[[1, 9], [2, 7], [3, 2], [4, 2]], 26359901/401316249600], [[[1, 9], [2, 7], [3, 2], [5, 1]], 608941/41803776000], [[[1, 9], [2, 7], [3, 2], [6, 2]], 1862509/50164531200], [[[1, 9], [2, 7], [3, 2], [8, 1]], 38627/7166361600], [[[1, 9], [2, 7], [3, 2], [10, 1]], 161/49766400], [[[1, 9], [2, 7], [3, 2], [12, 1]], 4069/8360755200], [[[1, 9], [2, 7], [3, 3], [4, 1]], 51678667/2407897497600], [[[1, 9], [2, 7], [3, 3], [6, 1]], 54043639/1805923123200], [[[1, 9], [2, 7], [4, 1], [6, 3]], 51977/45864714240], [[[1, 9], [2, 7], [4, 1], [7, 1]], 539281/33443020800], [[[1, 9], [2, 7], [4, 1], [9, 1]], 15097/11147673600], [[[1, 9], [2, 7], [4, 1], [14, 1]], 529/353894400], [[[1, 9], [2, 7], [4, 1], [18, 1]], 37/127401984], [[[1, 9], [2, 7], [4, 2], [5, 1]], 6489821/111476736000], [[[1, 9], [2, 7], [4, 2], [6, 2]], 68797/7644119040], [[[1, 9], [2, 7], [4, 2], [8, 1]], 3079747/59454259200], [[[1, 9], [2, 7], [4, 2], [10, 1]], 1761/131072000], [[[1, 9], [2, 7], [4, 2], [12, 1]], 7/3317760], [[[1, 9], [2, 7], [4, 3], [6, 1]], 5172533/160526499840], [[[1, 9], [2, 7], [5, 1], [6, 2]], 7/3317760], [[[1, 9], [2, 7], [5, 1], [8, 1]], 66677/13934592000], [[[1, 9], [2, 7], [5, 1], [10, 1]], 609673/95551488000], [[[1, 9], [2, 7], [6, 1], [7, 1]], 65/13934592], [[[1, 9], [2, 7], [6, 1], [9, 1]], 7/44789760], [[[1, 9], [2, 7], [6, 1], [14, 1]], 2461/4459069440], [[[1, 9], [2, 7], [6, 1], [18, 1]], 1991/5733089280], [[[1, 9], [2, 7], [6, 2], [8, 1]], 811/1911029760], [[[1, 9], [2, 7], [6, 2], [10, 1]], 2027/4777574400], [[[1, 9], [2, 7], [6, 2], [12, 1]], 37/955514880], [[[1, 9], [2, 7], [8, 1], [10, 1]], 17/21233664], [[[1, 9], [2, 9], [3, 1], [4, 2]], 319007/16721510400], [[[1, 9], [2, 9], [3, 1], [5, 1]], 41027/23887872000], [[[1, 9], [2, 9], [3, 1], [6, 2]], 12986143/1605264998400], [[[1, 9], [2, 9], [3, 1], [8, 1]], 19229/19110297600], [[[1, 9], [2, 9], [3, 1], [10, 1]], 19/12288000], [[[1, 9], [2, 9], [3, 1], [12, 1]], 1081/38220595200], [[[1, 9], [2, 9], [3, 2], [4, 1]], 236059/38220595200], [[[1, 9], [2, 9], [3, 2], [6, 1]], 12986143/1605264998400], [[[1, 9], [2, 9], [4, 1], [5, 1]], 1179869/222953472000], [[[1, 9], [2, 9], [4, 1], [6, 2]], 236059/38220595200], [[[1, 9], [2, 9], [4, 1], [8, 1]], 998887/152882380800], [[[1, 9], [2, 9], [4, 1], [10, 1]], 1179869/222953472000], [[[1, 9], [2, 9], [4, 1], [12, 1]], 83/637009920], [[[1, 9], [2, 9], [4, 2], [6, 1]], 319007/16721510400], [[[1, 9], [2, 9], [5, 1], [6, 1]], 19/12288000], [[[1, 9], [2, 9], [6, 1], [8, 1]], 19229/19110297600], [[[1, 9], [2, 9], [6, 1], [10, 1]], 41027/23887872000], [[[1, 9], [2, 9], [6, 1], [12, 1]], 1081/38220595200], [[[1, 9], [2, 11], [3, 1], [4, 1]], 497869/401316249600], [[[1, 9], [2, 11], [3, 1], [6, 1]], 3974267/3009871872000], [[[1, 9], [2, 11], [4, 1], [6, 1]], 79981/26754416640], [[[1, 10], [2, 2], [3, 1], [4, 5]], 19/222953472], [[[1, 10], [2, 2], [3, 1], [11, 1]], 257/255467520], [[[1, 10], [2, 2], [3, 2], [4, 4]], 5099/5016453120], [[[1, 10], [2, 2], [3, 2], [5, 2]], 225509/5225472000], [[[1, 10], [2, 2], [3, 2], [6, 4]], 1/11287019520], [[[1, 10], [2, 2], [3, 2], [8, 2]], 1/13271040], [[[1, 10], [2, 2], [3, 3], [4, 3]], 4877023/1805923123200], [[[1, 10], [2, 2], [3, 3], [6, 3]], 3251/45148078080], [[[1, 10], [2, 2], [3, 3], [7, 1]], 455143/29262643200], [[[1, 10], [2, 2], [3, 3], [9, 1]], 533/62705664], [[[1, 10], [2, 2], [3, 4], [4, 2]], 2381/418037760], [[[1, 10], [2, 2], [3, 4], [5, 1]], 545491/28217548800], [[[1, 10], [2, 2], [3, 4], [6, 2]], 1157237/406332702720], [[[1, 10], [2, 2], [3, 4], [8, 1]], 107021/45148078080], [[[1, 10], [2, 2], [3, 4], [10, 1]], 121/881798400], [[[1, 10], [2, 2], [3, 4], [12, 1]], 19/19906560], [[[1, 10], [2, 2], [3, 5], [4, 1]], 36241/6019743744], [[[1, 10], [2, 2], [3, 5], [6, 1]], 642527/81266540544], [[[1, 10], [2, 2], [4, 1], [11, 1]], 211/510935040], [[[1, 10], [2, 2], [4, 2], [5, 2]], 13123/1327104000], [[[1, 10], [2, 2], [4, 2], [8, 2]], 29/371589120], [[[1, 10], [2, 2], [4, 3], [7, 1]], 10159/8360755200], [[[1, 10], [2, 2], [4, 3], [9, 1]], 383/25082265600], [[[1, 10], [2, 2], [4, 4], [5, 1]], 2509/3344302080], [[[1, 10], [2, 2], [4, 4], [8, 1]], 4219/13377208320], [[[1, 10], [2, 2], [4, 4], [10, 1]], 1/619315200], [[[1, 10], [2, 2], [4, 4], [12, 1]], 1/371589120], [[[1, 10], [2, 2], [5, 1], [8, 2]], 1/25804800], [[[1, 10], [2, 2], [5, 2], [6, 2]], 151/5225472000], [[[1, 10], [2, 2], [5, 2], [8, 1]], 179/77414400], [[[1, 10], [2, 2], [5, 2], [10, 1]], 2657/2903040000], [[[1, 10], [2, 2], [6, 1], [11, 1]], 1/143700480], [[[1, 10], [2, 2], [7, 1], [9, 1]], 83/406425600], [[[1, 10], [2, 4], [3, 1], [4, 4]], 682393/80263249920], [[[1, 10], [2, 4], [3, 1], [5, 2]], 232193/5971968000], [[[1, 10], [2, 4], [3, 1], [6, 4]], 43/120394874880], [[[1, 10], [2, 4], [3, 1], [8, 2]], 193/477757440], [[[1, 10], [2, 4], [3, 2], [4, 3]], 1899769/60197437440], [[[1, 10], [2, 4], [3, 2], [6, 3]], 8215/12039487488], [[[1, 10], [2, 4], [3, 2], [7, 1]], 2995/125411328], [[[1, 10], [2, 4], [3, 2], [9, 1]], 828461/90296156160], [[[1, 10], [2, 4], [3, 3], [4, 2]], 23025929/481579499520], [[[1, 10], [2, 4], [3, 3], [5, 1]], 5528797/150493593600], [[[1, 10], [2, 4], [3, 3], [6, 2]], 1442551/72236924928], [[[1, 10], [2, 4], [3, 3], [8, 1]], 6837583/902961561600], [[[1, 10], [2, 4], [3, 3], [10, 1]], 293/185794560], [[[1, 10], [2, 4], [3, 3], [12, 1]], 37393/30098718720], [[[1, 10], [2, 4], [3, 4], [4, 1]], 3821207/135444234240], [[[1, 10], [2, 4], [3, 4], [6, 1]], 26227849/812665405440], [[[1, 10], [2, 4], [4, 1], [5, 2]], 403003/9289728000], [[[1, 10], [2, 4], [4, 1], [8, 2]], 9679/6688604160], [[[1, 10], [2, 4], [4, 1], [10, 2]], 1/589824000], [[[1, 10], [2, 4], [4, 2], [6, 3]], 199/53508833280], [[[1, 10], [2, 4], [4, 2], [7, 1]], 32395/1560674304], [[[1, 10], [2, 4], [4, 2], [9, 1]], 737/743178240], [[[1, 10], [2, 4], [4, 2], [14, 1]], 1/55050240], [[[1, 10], [2, 4], [4, 2], [18, 1]], 1/106168320], [[[1, 10], [2, 4], [4, 3], [5, 1]], 204821/8360755200], [[[1, 10], [2, 4], [4, 3], [6, 2]], 59/557383680], [[[1, 10], [2, 4], [4, 3], [8, 1]], 27181/2548039680], [[[1, 10], [2, 4], [4, 3], [10, 1]], 167/619315200], [[[1, 10], [2, 4], [4, 3], [12, 1]], 37/123863040], [[[1, 10], [2, 4], [4, 4], [6, 1]], 22207/26754416640], [[[1, 10], [2, 4], [5, 1], [6, 3]], 1/130636800], [[[1, 10], [2, 4], [5, 1], [7, 1]], 1586069/117050572800], [[[1, 10], [2, 4], [5, 1], [9, 1]], 1613/2090188800], [[[1, 10], [2, 4], [5, 2], [6, 1]], 8797/2090188800], [[[1, 10], [2, 4], [6, 1], [8, 2]], 1/123863040], [[[1, 10], [2, 4], [6, 2], [7, 1]], 67/418037760], [[[1, 10], [2, 4], [6, 2], [9, 1]], 1/418037760], [[[1, 10], [2, 4], [6, 2], [18, 1]], 1/2866544640], [[[1, 10], [2, 4], [7, 1], [8, 1]], 1567/597196800], [[[1, 10], [2, 4], [7, 1], [10, 1]], 43/116121600], [[[1, 10], [2, 4], [8, 1], [9, 1]], 383/12541132800], [[[1, 10], [2, 4], [9, 1], [10, 1]], 1/116121600], [[[1, 10], [2, 4], [10, 1], [14, 1]], 1/3715891200], [[[1, 10], [2, 6], [3, 1], [4, 3]], 1156723/22295347200], [[[1, 10], [2, 6], [3, 1], [6, 3]], 6683/10032906240], [[[1, 10], [2, 6], [3, 1], [7, 1]], 962069/100329062400], [[[1, 10], [2, 6], [3, 1], [9, 1]], 221773/100329062400], [[[1, 10], [2, 6], [3, 1], [14, 1]], 1/30965760], [[[1, 10], [2, 6], [3, 1], [18, 1]], 1/238878720], [[[1, 10], [2, 6], [3, 2], [4, 2]], 26080933/401316249600], [[[1, 10], [2, 6], [3, 2], [5, 1]], 31748513/1504935936000], [[[1, 10], [2, 6], [3, 2], [6, 2]], 41076977/2407897497600], [[[1, 10], [2, 6], [3, 2], [8, 1]], 336131/60197437440], [[[1, 10], [2, 6], [3, 2], [10, 1]], 623/298598400], [[[1, 10], [2, 6], [3, 2], [12, 1]], 131659/300987187200], [[[1, 10], [2, 6], [3, 3], [4, 1]], 561083939/18059231232000], [[[1, 10], [2, 6], [3, 3], [6, 1]], 10679843/361184624640], [[[1, 10], [2, 6], [4, 1], [6, 3]], 8929/114661785600], [[[1, 10], [2, 6], [4, 1], [7, 1]], 286553/20901888000], [[[1, 10], [2, 6], [4, 1], [9, 1]], 211219/250822656000], [[[1, 10], [2, 6], [4, 1], [14, 1]], 1/8257536], [[[1, 10], [2, 6], [4, 1], [18, 1]], 49/1592524800], [[[1, 10], [2, 6], [4, 2], [5, 1]], 963113/20901888000], [[[1, 10], [2, 6], [4, 2], [6, 2]], 77773/53508833280], [[[1, 10], [2, 6], [4, 2], [8, 1]], 3954917/178362777600], [[[1, 10], [2, 6], [4, 2], [10, 1]], 116573/44590694400], [[[1, 10], [2, 6], [4, 2], [12, 1]], 1309/1911029760], [[[1, 10], [2, 6], [4, 3], [6, 1]], 2759/297271296], [[[1, 10], [2, 6], [5, 1], [6, 2]], 179/232243200], [[[1, 10], [2, 6], [5, 1], [8, 1]], 60803/16721510400], [[[1, 10], [2, 6], [5, 1], [10, 1]], 1789121/668860416000], [[[1, 10], [2, 6], [6, 1], [7, 1]], 2153/836075520], [[[1, 10], [2, 6], [6, 1], [9, 1]], 23/418037760], [[[1, 10], [2, 6], [6, 1], [14, 1]], 109/4459069440], [[[1, 10], [2, 6], [6, 1], [18, 1]], 139/5733089280], [[[1, 10], [2, 6], [6, 2], [8, 1]], 91/1911029760], [[[1, 10], [2, 6], [6, 2], [10, 1]], 91/9555148800], [[[1, 10], [2, 6], [6, 2], [12, 1]], 1/637009920], [[[1, 10], [2, 6], [8, 1], [10, 1]], 59/530841600], [[[1, 10], [2, 8], [3, 1], [4, 2]], 13216579/535088332800], [[[1, 10], [2, 8], [3, 1], [5, 1]], 16211737/4013162496000], [[[1, 10], [2, 8], [3, 1], [6, 2]], 80490989/19263179980800], [[[1, 10], [2, 8], [3, 1], [8, 1]], 183241/133772083200], [[[1, 10], [2, 8], [3, 1], [10, 1]], 671/796262400], [[[1, 10], [2, 8], [3, 1], [12, 1]], 4919/118908518400], [[[1, 10], [2, 8], [3, 2], [4, 1]], 14312021/1203948748800], [[[1, 10], [2, 8], [3, 2], [6, 1]], 284416469/28894769971200], [[[1, 10], [2, 8], [4, 1], [5, 1]], 349849/41803776000], [[[1, 10], [2, 8], [4, 1], [6, 2]], 66193/38220595200], [[[1, 10], [2, 8], [4, 1], [8, 1]], 1818647/356725555200], [[[1, 10], [2, 8], [4, 1], [10, 1]], 60761/31850496000], [[[1, 10], [2, 8], [4, 1], [12, 1]], 871/9555148800], [[[1, 10], [2, 8], [4, 2], [6, 1]], 1795309/178362777600], [[[1, 10], [2, 8], [5, 1], [6, 1]], 49247/27869184000], [[[1, 10], [2, 8], [6, 1], [8, 1]], 7981/19110297600], [[[1, 10], [2, 8], [6, 1], [10, 1]], 5603/19110297600], [[[1, 10], [2, 8], [6, 1], [12, 1]], 37/5096079360], [[[1, 10], [2, 10], [3, 1], [4, 1]], 5597/2477260800], [[[1, 10], [2, 10], [3, 1], [6, 1]], 3644579/2407897497600], [[[1, 10], [2, 10], [4, 1], [6, 1]], 5597/2477260800], [[[1, 10], [3, 1], [4, 2], [5, 2]], 557/870912000], [[[1, 10], [3, 1], [4, 4], [5, 1]], 13/619315200], [[[1, 10], [3, 1], [5, 2], [6, 2]], 11/1548288000], [[[1, 10], [3, 1], [5, 2], [12, 1]], 11/258048000], [[[1, 10], [3, 1], [7, 1], [9, 1]], 23/243855360], [[[1, 10], [3, 2], [4, 2], [7, 1]], 151/418037760], [[[1, 10], [3, 2], [4, 2], [9, 1]], 559/3762339840], [[[1, 10], [3, 2], [4, 3], [8, 1]], 1/79626240], [[[1, 10], [3, 2], [5, 1], [7, 1]], 36203/7315660800], [[[1, 10], [3, 2], [5, 1], [9, 1]], 53/24494400], [[[1, 10], [3, 2], [6, 2], [7, 1]], 151/17557585920], [[[1, 10], [3, 2], [6, 2], [9, 1]], 1/2508226560], [[[1, 10], [3, 2], [7, 1], [12, 1]], 151/2926264320], [[[1, 10], [3, 2], [9, 1], [12, 1]], 1/418037760], [[[1, 10], [3, 3], [4, 2], [5, 1]], 439/716636160], [[[1, 10], [3, 3], [4, 2], [6, 2]], 23/30098718720], [[[1, 10], [3, 3], [4, 2], [12, 1]], 23/5016453120], [[[1, 10], [3, 3], [5, 1], [6, 2]], 143/4180377600], [[[1, 10], [3, 3], [5, 1], [12, 1]], 143/696729600], [[[1, 10], [3, 4], [4, 1], [8, 1]], 121/1410877440], [[[1, 10], [4, 1], [5, 2], [8, 1]], 151/2322432000], [[[1, 10], [4, 2], [5, 1], [7, 1]], 641/2438553600], [[[1, 10], [4, 2], [5, 1], [9, 1]], 1/348364800], [[[1, 10], [4, 3], [5, 1], [8, 1]], 1/154828800], [[[1, 11], [2, 1], [3, 1], [4, 5]], 29/5733089280], [[[1, 11], [2, 1], [3, 1], [11, 1]], 13/191600640], [[[1, 11], [2, 1], [3, 2], [4, 4]], 19/1486356480], [[[1, 11], [2, 1], [3, 2], [5, 2]], 79603/10450944000], [[[1, 11], [2, 1], [3, 3], [4, 3]], 25626343/119190926131200], [[[1, 11], [2, 1], [3, 3], [6, 3]], 1/470292480], [[[1, 11], [2, 1], [3, 3], [7, 1]], 89909/37623398400], [[[1, 11], [2, 1], [3, 3], [9, 1]], 11/10450944], [[[1, 11], [2, 1], [3, 4], [4, 2]], 2759/10749542400], [[[1, 11], [2, 1], [3, 4], [5, 1]], 7487/1763596800], [[[1, 11], [2, 1], [3, 4], [6, 2]], 1/59719680], [[[1, 11], [2, 1], [3, 4], [8, 1]], 14969/90296156160], [[[1, 11], [2, 1], [3, 4], [12, 1]], 1/9953280], [[[1, 11], [2, 1], [3, 5], [4, 1]], 66221/90296156160], [[[1, 11], [2, 1], [3, 5], [6, 1]], 92179/135444234240], [[[1, 11], [2, 1], [4, 1], [11, 1]], 13/1362493440], [[[1, 11], [2, 1], [4, 2], [5, 2]], 709/3483648000], [[[1, 11], [2, 1], [4, 2], [8, 2]], 1/637009920], [[[1, 11], [2, 1], [4, 3], [7, 1]], 7751/117050572800], [[[1, 11], [2, 1], [4, 3], [9, 1]], 743/1655429529600], [[[1, 11], [2, 1], [4, 4], [5, 1]], 1/137625600], [[[1, 11], [2, 1], [4, 4], [8, 1]], 1/990904320], [[[1, 11], [2, 1], [5, 2], [8, 1]], 1/10368000], [[[1, 11], [2, 1], [5, 2], [10, 1]], 23/1161216000], [[[1, 11], [2, 1], [7, 1], [9, 1]], 43/3657830400], [[[1, 11], [2, 3], [3, 1], [4, 4]], 185021/200658124800], [[[1, 11], [2, 3], [3, 1], [5, 2]], 103511/6967296000], [[[1, 11], [2, 3], [3, 1], [6, 4]], 1/75246796800], [[[1, 11], [2, 3], [3, 1], [8, 2]], 19/557383680], [[[1, 11], [2, 3], [3, 2], [4, 3]], 105457/25082265600], [[[1, 11], [2, 3], [3, 2], [6, 3]], 7913/451480780800], [[[1, 11], [2, 3], [3, 2], [7, 1]], 353461/43893964800], [[[1, 11], [2, 3], [3, 2], [9, 1]], 29383/12541132800], [[[1, 11], [2, 3], [3, 3], [4, 2]], 481759/42998169600], [[[1, 11], [2, 3], [3, 3], [5, 1]], 6653993/376233984000], [[[1, 11], [2, 3], [3, 3], [6, 2]], 2852287/1354442342400], [[[1, 11], [2, 3], [3, 3], [8, 1]], 8769059/4256818790400], [[[1, 11], [2, 3], [3, 3], [10, 1]], 5783/26873856000], [[[1, 11], [2, 3], [3, 3], [12, 1]], 1649/5016453120], [[[1, 11], [2, 3], [3, 4], [4, 1]], 29113367/2708884684800], [[[1, 11], [2, 3], [3, 4], [6, 1]], 592451/64497254400], [[[1, 11], [2, 3], [4, 1], [5, 2]], 301897/27869184000], [[[1, 11], [2, 3], [4, 1], [8, 2]], 53/557383680], [[[1, 11], [2, 3], [4, 2], [7, 1]], 19267/6502809600], [[[1, 11], [2, 3], [4, 2], [9, 1]], 353/4180377600], [[[1, 11], [2, 3], [4, 3], [5, 1]], 229547/83607552000], [[[1, 11], [2, 3], [4, 3], [6, 2]], 1/318504960], [[[1, 11], [2, 3], [4, 3], [8, 1]], 7423/9909043200], [[[1, 11], [2, 3], [4, 3], [10, 1]], 11/1393459200], [[[1, 11], [2, 3], [4, 3], [12, 1]], 1/95551488], [[[1, 11], [2, 3], [4, 4], [6, 1]], 1441/66886041600], [[[1, 11], [2, 3], [5, 1], [7, 1]], 8357/2322432000], [[[1, 11], [2, 3], [5, 1], [9, 1]], 793/5225472000], [[[1, 11], [2, 3], [5, 2], [6, 1]], 709/1306368000], [[[1, 11], [2, 3], [6, 1], [8, 2]], 1/2786918400], [[[1, 11], [2, 3], [6, 2], [7, 1]], 23/3135283200], [[[1, 11], [2, 3], [6, 2], [9, 1]], 1/9405849600], [[[1, 11], [2, 3], [7, 1], [8, 1]], 5297/14631321600], [[[1, 11], [2, 3], [7, 1], [10, 1]], 23/870912000], [[[1, 11], [2, 3], [8, 1], [9, 1]], 1213/413857382400], [[[1, 11], [2, 3], [9, 1], [10, 1]], 1/2612736000], [[[1, 11], [2, 5], [3, 1], [4, 3]], 41718769/2407897497600], [[[1, 11], [2, 5], [3, 1], [6, 3]], 103/2123366400], [[[1, 11], [2, 5], [3, 1], [7, 1]], 3824327/702303436800], [[[1, 11], [2, 5], [3, 1], [9, 1]], 93629/100329062400], [[[1, 11], [2, 5], [3, 2], [4, 2]], 869807/26754416640], [[[1, 11], [2, 5], [3, 2], [5, 1]], 23687/1433272320], [[[1, 11], [2, 5], [3, 2], [6, 2]], 195743/48157949952], [[[1, 11], [2, 5], [3, 2], [8, 1]], 294151/100329062400], [[[1, 11], [2, 5], [3, 2], [10, 1]], 1019/1567641600], [[[1, 11], [2, 5], [3, 2], [12, 1]], 163/796262400], [[[1, 11], [2, 5], [3, 3], [4, 1]], 26614902119/1191909261312000], [[[1, 11], [2, 5], [3, 3], [6, 1]], 85626487/5417769369600], [[[1, 11], [2, 5], [4, 1], [6, 3]], 1607/535088332800], [[[1, 11], [2, 5], [4, 1], [7, 1]], 963829/167215104000], [[[1, 11], [2, 5], [4, 1], [9, 1]], 4292599/16554295296000], [[[1, 11], [2, 5], [4, 1], [14, 1]], 1/297271296], [[[1, 11], [2, 5], [4, 1], [18, 1]], 1/1061683200], [[[1, 11], [2, 5], [4, 2], [5, 1]], 251107/13377208320], [[[1, 11], [2, 5], [4, 2], [6, 2]], 33931/267544166400], [[[1, 11], [2, 5], [4, 2], [8, 1]], 928631/178362777600], [[[1, 11], [2, 5], [4, 2], [10, 1]], 6697/24772608000], [[[1, 11], [2, 5], [4, 2], [12, 1]], 13/103219200], [[[1, 11], [2, 5], [4, 3], [6, 1]], 58691/40131624960], [[[1, 11], [2, 5], [5, 1], [6, 2]], 1/7838208], [[[1, 11], [2, 5], [5, 1], [8, 1]], 16837/11943936000], [[[1, 11], [2, 5], [5, 1], [10, 1]], 82759/133772083200], [[[1, 11], [2, 5], [6, 1], [7, 1]], 4309/6270566400], [[[1, 11], [2, 5], [6, 1], [9, 1]], 173/18811699200], [[[1, 11], [2, 5], [6, 1], [14, 1]], 1/4459069440], [[[1, 11], [2, 5], [6, 1], [18, 1]], 1/1911029760], [[[1, 11], [2, 5], [6, 2], [8, 1]], 1/222953472], [[[1, 11], [2, 5], [8, 1], [10, 1]], 1/103219200], [[[1, 11], [2, 7], [3, 1], [4, 2]], 78454891/4013162496000], [[[1, 11], [2, 7], [3, 1], [5, 1]], 608731/125411328000], [[[1, 11], [2, 7], [3, 1], [6, 2]], 5730773/4013162496000], [[[1, 11], [2, 7], [3, 1], [8, 1]], 2664203/2407897497600], [[[1, 11], [2, 7], [3, 1], [10, 1]], 2167/5573836800], [[[1, 11], [2, 7], [3, 1], [12, 1]], 60439/2006581248000], [[[1, 11], [2, 7], [3, 2], [4, 1]], 20316271/1504935936000], [[[1, 11], [2, 7], [3, 2], [6, 1]], 5312833/687970713600], [[[1, 11], [2, 7], [4, 1], [5, 1]], 76539847/10032906240000], [[[1, 11], [2, 7], [4, 1], [6, 2]], 266827/802632499200], [[[1, 11], [2, 7], [4, 1], [8, 1]], 40808323/16052649984000], [[[1, 11], [2, 7], [4, 1], [10, 1]], 163469/334430208000], [[[1, 11], [2, 7], [4, 1], [12, 1]], 16369/401316249600], [[[1, 11], [2, 7], [4, 2], [6, 1]], 4827761/1337720832000], [[[1, 11], [2, 7], [5, 1], [6, 1]], 28781/25082265600], [[[1, 11], [2, 7], [6, 1], [8, 1]], 100249/802632499200], [[[1, 11], [2, 7], [6, 1], [10, 1]], 23/796262400], [[[1, 11], [2, 7], [6, 1], [12, 1]], 1/1415577600], [[[1, 11], [2, 9], [3, 1], [4, 1]], 79981/26754416640], [[[1, 11], [2, 9], [3, 1], [6, 1]], 3974267/3009871872000], [[[1, 11], [2, 9], [4, 1], [6, 1]], 497869/401316249600], [[[1, 12], [2, 2], [3, 1], [4, 4]], 21157/401316249600], [[[1, 12], [2, 2], [3, 1], [5, 2]], 1651/597196800], [[[1, 12], [2, 2], [3, 1], [6, 4]], 1/4966288588800], [[[1, 12], [2, 2], [3, 1], [8, 2]], 1/1114767360], [[[1, 12], [2, 2], [3, 2], [4, 3]], 827159/3310859059200], [[[1, 12], [2, 2], [3, 2], [6, 3]], 307/794606174208], [[[1, 12], [2, 2], [3, 2], [7, 1]], 5053/3657830400], [[[1, 12], [2, 2], [3, 2], [9, 1]], 5/16515072], [[[1, 12], [2, 2], [3, 3], [4, 2]], 3497957/3783838924800], [[[1, 12], [2, 2], [3, 3], [5, 1]], 12933763/3103930368000], [[[1, 12], [2, 2], [3, 3], [6, 2]], 6658423/89393194598400], [[[1, 12], [2, 2], [3, 3], [8, 1]], 2224657/9932577177600], [[[1, 12], [2, 2], [3, 3], [10, 1]], 119681/12415721472000], [[[1, 12], [2, 2], [3, 3], [12, 1]], 169/4180377600], [[[1, 12], [2, 2], [3, 4], [4, 1]], 101999/56435097600], [[[1, 12], [2, 2], [3, 4], [6, 1]], 40730047/35757277839360], [[[1, 12], [2, 2], [4, 1], [5, 2]], 1025/891813888], [[[1, 12], [2, 2], [4, 1], [8, 2]], 23/11147673600], [[[1, 12], [2, 2], [4, 2], [7, 1]], 103/637009920], [[[1, 12], [2, 2], [4, 2], [9, 1]], 133/52553318400], [[[1, 12], [2, 2], [4, 3], [5, 1]], 2033/19160064000], [[[1, 12], [2, 2], [4, 3], [8, 1]], 35641/2942985830400], [[[1, 12], [2, 2], [4, 3], [10, 1]], 1/27869184000], [[[1, 12], [2, 2], [4, 3], [12, 1]], 1/16721510400], [[[1, 12], [2, 2], [4, 4], [6, 1]], 2971/4414478745600], [[[1, 12], [2, 2], [5, 1], [7, 1]], 5239/11147673600], [[[1, 12], [2, 2], [5, 1], [9, 1]], 89/6158592000], [[[1, 12], [2, 2], [5, 2], [6, 1]], 1/46656000], [[[1, 12], [2, 2], [6, 1], [8, 2]], 1/183936614400], [[[1, 12], [2, 2], [6, 2], [7, 1]], 1/6270566400], [[[1, 12], [2, 2], [6, 2], [9, 1]], 1/620786073600], [[[1, 12], [2, 2], [7, 1], [8, 1]], 71/3251404800], [[[1, 12], [2, 2], [7, 1], [10, 1]], 1/1741824000], [[[1, 12], [2, 2], [8, 1], [9, 1]], 17/137952460800], [[[1, 12], [2, 2], [9, 1], [10, 1]], 1/172440576000], [[[1, 12], [2, 4], [3, 1], [4, 3]], 818423/300987187200], [[[1, 12], [2, 4], [3, 1], [6, 3]], 3841/1986515435520], [[[1, 12], [2, 4], [3, 1], [7, 1]], 56963/33443020800], [[[1, 12], [2, 4], [3, 1], [9, 1]], 2180971/9932577177600], [[[1, 12], [2, 4], [3, 2], [4, 2]], 9751201/1203948748800], [[[1, 12], [2, 4], [3, 2], [5, 1]], 510671/71663616000], [[[1, 12], [2, 4], [3, 2], [6, 2]], 1986823/4414478745600], [[[1, 12], [2, 4], [3, 2], [8, 1]], 1253717/1655429529600], [[[1, 12], [2, 4], [3, 2], [10, 1]], 337/3483648000], [[[1, 12], [2, 4], [3, 2], [12, 1]], 166433/3310859059200], [[[1, 12], [2, 4], [3, 3], [4, 1]], 49421831/5959546306560], [[[1, 12], [2, 4], [3, 3], [6, 1]], 389643007/89393194598400], [[[1, 12], [2, 4], [4, 1], [6, 3]], 1/12541132800], [[[1, 12], [2, 4], [4, 1], [7, 1]], 4951/3901685760], [[[1, 12], [2, 4], [4, 1], [9, 1]], 16859/413857382400], [[[1, 12], [2, 4], [4, 2], [5, 1]], 1256273/334430208000], [[[1, 12], [2, 4], [4, 2], [6, 2]], 263/52553318400], [[[1, 12], [2, 4], [4, 2], [8, 1]], 33961/53508833280], [[[1, 12], [2, 4], [4, 2], [10, 1]], 12293/919683072000], [[[1, 12], [2, 4], [4, 2], [12, 1]], 3259/275904921600], [[[1, 12], [2, 4], [4, 3], [6, 1]], 11129/100329062400], [[[1, 12], [2, 4], [5, 1], [6, 2]], 319/31352832000], [[[1, 12], [2, 4], [5, 1], [8, 1]], 42131/153280512000], [[[1, 12], [2, 4], [5, 1], [10, 1]], 42871/557383680000], [[[1, 12], [2, 4], [6, 1], [7, 1]], 7709/87787929600], [[[1, 12], [2, 4], [6, 1], [9, 1]], 941/1241572147200], [[[1, 12], [2, 4], [6, 2], [8, 1]], 1/5016453120], [[[1, 12], [2, 4], [8, 1], [10, 1]], 1/2322432000], [[[1, 12], [2, 6], [3, 1], [4, 2]], 211375531/24078974976000], [[[1, 12], [2, 6], [3, 1], [5, 1]], 9810091/3009871872000], [[[1, 12], [2, 6], [3, 1], [6, 2]], 76901123/264868724736000], [[[1, 12], [2, 6], [3, 1], [8, 1]], 298379/601974374400], [[[1, 12], [2, 6], [3, 1], [10, 1]], 79/716636160], [[[1, 12], [2, 6], [3, 1], [12, 1]], 1605409/132434362368000], [[[1, 12], [2, 6], [3, 2], [4, 1]], 62143877/7357464576000], [[[1, 12], [2, 6], [3, 2], [6, 1]], 30116221/8475799191552], [[[1, 12], [2, 6], [4, 1], [5, 1]], 23610533/6131220480000], [[[1, 12], [2, 6], [4, 1], [6, 2]], 35039/802632499200], [[[1, 12], [2, 6], [4, 1], [8, 1]], 19520539/25225592832000], [[[1, 12], [2, 6], [4, 1], [10, 1]], 1603/19110297600], [[[1, 12], [2, 6], [4, 1], [12, 1]], 1091/100329062400], [[[1, 12], [2, 6], [4, 2], [6, 1]], 673549/891813888000], [[[1, 12], [2, 6], [5, 1], [6, 1]], 6997/17915904000], [[[1, 12], [2, 6], [6, 1], [8, 1]], 4699/200658124800], [[[1, 12], [2, 6], [6, 1], [10, 1]], 199/89181388800], [[[1, 12], [2, 6], [6, 1], [12, 1]], 1/50960793600], [[[1, 12], [2, 8], [3, 1], [4, 1]], 32408119/12039487488000], [[[1, 12], [2, 8], [3, 1], [6, 1]], 332993719/397303087104000], [[[1, 12], [2, 8], [4, 1], [6, 1]], 2118419/4013162496000], [[[1, 12], [3, 1], [4, 2], [7, 1]], 17/1625702400], [[[1, 12], [3, 1], [4, 2], [9, 1]], 31/51732172800], [[[1, 12], [3, 1], [4, 3], [8, 1]], 1/6688604160], [[[1, 12], [3, 1], [5, 1], [7, 1]], 901/5852528640], [[[1, 12], [3, 1], [5, 1], [9, 1]], 23/2090188800], [[[1, 12], [3, 1], [6, 2], [7, 1]], 107/3862668902400], [[[1, 12], [3, 1], [7, 1], [12, 1]], 107/643778150400], [[[1, 12], [3, 2], [4, 2], [5, 1]], 43/1045094400], [[[1, 12], [3, 2], [4, 2], [6, 2]], 1/118244966400], [[[1, 12], [3, 2], [4, 2], [12, 1]], 1/19707494400], [[[1, 12], [3, 2], [5, 1], [6, 2]], 23/50164531200], [[[1, 12], [3, 2], [5, 1], [12, 1]], 23/8360755200], [[[1, 12], [3, 3], [4, 1], [8, 1]], 119681/19865154355200], [[[1, 12], [4, 1], [7, 1], [8, 1]], 1/2786918400], [[[1, 12], [4, 1], [8, 1], [9, 1]], 1/275904921600], [[[1, 13], [2, 1], [3, 1], [4, 4]], 1/3715891200], [[[1, 13], [2, 1], [3, 1], [5, 2]], 19073/83607552000], [[[1, 13], [2, 1], [3, 2], [4, 3]], 10447/993257717760], [[[1, 13], [2, 1], [3, 2], [6, 3]], 41/6621718118400], [[[1, 13], [2, 1], [3, 2], [7, 1]], 107837/965667225600], [[[1, 13], [2, 1], [3, 2], [9, 1]], 11/619315200], [[[1, 13], [2, 1], [3, 3], [4, 2]], 9271/441447874560], [[[1, 13], [2, 1], [3, 3], [5, 1]], 21953573/49662885888000], [[[1, 13], [2, 1], [3, 3], [6, 2]], 1/2675441664], [[[1, 13], [2, 1], [3, 3], [8, 1]], 325601/39730308710400], [[[1, 13], [2, 1], [3, 3], [12, 1]], 1/445906944], [[[1, 13], [2, 1], [3, 4], [4, 1]], 789517/7946061742080], [[[1, 13], [2, 1], [3, 4], [6, 1]], 2861581/59595463065600], [[[1, 13], [2, 1], [4, 1], [5, 2]], 4373/111476736000], [[[1, 13], [2, 1], [4, 1], [8, 2]], 1/245248819200], [[[1, 13], [2, 1], [4, 2], [7, 1]], 11/5852528640], [[[1, 13], [2, 1], [4, 2], [9, 1]], 1/91968307200], [[[1, 13], [2, 1], [4, 3], [5, 1]], 19147/5518098432000], [[[1, 13], [2, 1], [4, 3], [8, 1]], 23/133772083200], [[[1, 13], [2, 1], [4, 3], [10, 1]], 1/1839366144000], [[[1, 13], [2, 1], [4, 3], [12, 1]], 1/1103619686400], [[[1, 13], [2, 1], [5, 1], [7, 1]], 59531/2145927168000], [[[1, 13], [2, 1], [5, 1], [9, 1]], 433/689762304000], [[[1, 13], [2, 1], [7, 1], [8, 1]], 23/53648179200], [[[1, 13], [2, 1], [8, 1], [9, 1]], 1/551809843200], [[[1, 13], [2, 3], [3, 1], [4, 3]], 51181/275904921600], [[[1, 13], [2, 3], [3, 1], [6, 3]], 89/2483144294400], [[[1, 13], [2, 3], [3, 1], [7, 1]], 83179/280921374720], [[[1, 13], [2, 3], [3, 1], [9, 1]], 188669/6621718118400], [[[1, 13], [2, 3], [3, 2], [4, 2]], 8206823/8828957491200], [[[1, 13], [2, 3], [3, 2], [5, 1]], 765439/459841536000], [[[1, 13], [2, 3], [3, 2], [6, 2]], 168499/7946061742080], [[[1, 13], [2, 3], [3, 2], [8, 1]], 23561/248314429440], [[[1, 13], [2, 3], [3, 2], [10, 1]], 1103/172440576000], [[[1, 13], [2, 3], [3, 2], [12, 1]], 1807/275904921600], [[[1, 13], [2, 3], [3, 3], [4, 1]], 106870487/68109100646400], [[[1, 13], [2, 3], [3, 3], [6, 1]], 8019863/13243436236800], [[[1, 13], [2, 3], [4, 1], [6, 3]], 1/827714764800], [[[1, 13], [2, 3], [4, 1], [7, 1]], 738889/5150225203200], [[[1, 13], [2, 3], [4, 1], [9, 1]], 21601/6621718118400], [[[1, 13], [2, 3], [4, 2], [5, 1]], 2510821/7357464576000], [[[1, 13], [2, 3], [4, 2], [6, 2]], 79/1103619686400], [[[1, 13], [2, 3], [4, 2], [8, 1]], 58229/1605264998400], [[[1, 13], [2, 3], [4, 2], [10, 1]], 311/919683072000], [[[1, 13], [2, 3], [4, 2], [12, 1]], 139/275904921600], [[[1, 13], [2, 3], [4, 3], [6, 1]], 18253/5297374494720], [[[1, 13], [2, 3], [5, 1], [6, 2]], 23/57480192000], [[[1, 13], [2, 3], [5, 1], [8, 1]], 18247/689762304000], [[[1, 13], [2, 3], [5, 1], [10, 1]], 59849/12262440960000], [[[1, 13], [2, 3], [6, 1], [7, 1]], 11/2194698240], [[[1, 13], [2, 3], [6, 1], [9, 1]], 1/34488115200], [[[1, 13], [2, 3], [6, 2], [8, 1]], 1/331085905920], [[[1, 13], [2, 3], [8, 1], [10, 1]], 1/153280512000], [[[1, 13], [2, 5], [3, 1], [4, 2]], 144343/66886041600], [[[1, 13], [2, 5], [3, 1], [5, 1]], 697933/551809843200], [[[1, 13], [2, 5], [3, 1], [6, 2]], 276637/8828957491200], [[[1, 13], [2, 5], [3, 1], [8, 1]], 106367/882895749120], [[[1, 13], [2, 5], [3, 1], [10, 1]], 263/15676416000], [[[1, 13], [2, 5], [3, 1], [12, 1]], 4093/1471492915200], [[[1, 13], [2, 5], [3, 2], [4, 1]], 585822277/198651543552000], [[[1, 13], [2, 5], [3, 2], [6, 1]], 649261/709469798400], [[[1, 13], [2, 5], [4, 1], [5, 1]], 29859503/27590492160000], [[[1, 13], [2, 5], [4, 1], [6, 2]], 43/12933043200], [[[1, 13], [2, 5], [4, 1], [8, 1]], 171067/1261279641600], [[[1, 13], [2, 5], [4, 1], [10, 1]], 89189/11036196864000], [[[1, 13], [2, 5], [4, 1], [12, 1]], 10973/6621718118400], [[[1, 13], [2, 5], [4, 2], [6, 1]], 62897/735746457600], [[[1, 13], [2, 5], [5, 1], [6, 1]], 383/5518098432], [[[1, 13], [2, 5], [6, 1], [8, 1]], 4567/1891919462400], [[[1, 13], [2, 5], [6, 1], [10, 1]], 1/10450944000], [[[1, 13], [2, 7], [3, 1], [4, 1]], 6479597/4414478745600], [[[1, 13], [2, 7], [3, 1], [6, 1]], 402221/1203948748800], [[[1, 13], [2, 7], [4, 1], [6, 1]], 9598961/66217181184000], [[[1, 14], [2, 2], [3, 1], [4, 3]], 6667/1324343623680], [[[1, 14], [2, 2], [3, 1], [6, 3]], 1/19865154355200], [[[1, 14], [2, 2], [3, 1], [7, 1]], 142867/5150225203200], [[[1, 14], [2, 2], [3, 1], [9, 1]], 4327/2207239372800], [[[1, 14], [2, 2], [3, 2], [4, 2]], 53323/1261279641600], [[[1, 14], [2, 2], [3, 2], [5, 1]], 6735191/33108590592000], [[[1, 14], [2, 2], [3, 2], [6, 2]], 11531/34054550323200], [[[1, 14], [2, 2], [3, 2], [8, 1]], 36107/6621718118400], [[[1, 14], [2, 2], [3, 2], [10, 1]], 149/1034643456000], [[[1, 14], [2, 2], [3, 2], [12, 1]], 331/735746457600], [[[1, 14], [2, 2], [3, 3], [4, 1]], 10969657/79460617420800], [[[1, 14], [2, 2], [3, 3], [6, 1]], 140575/3575727783936], [[[1, 14], [2, 2], [4, 1], [7, 1]], 9791/1287556300800], [[[1, 14], [2, 2], [4, 1], [9, 1]], 137/1103619686400], [[[1, 14], [2, 2], [4, 2], [5, 1]], 28531/2452488192000], [[[1, 14], [2, 2], [4, 2], [6, 2]], 1/945959731200], [[[1, 14], [2, 2], [4, 2], [8, 1]], 179/235438866432], [[[1, 14], [2, 2], [4, 2], [10, 1]], 19/3678732288000], [[[1, 14], [2, 2], [4, 2], [12, 1]], 17/2207239372800], [[[1, 14], [2, 2], [4, 3], [6, 1]], 1/63063982080], [[[1, 14], [2, 2], [5, 1], [6, 2]], 1/147806208000], [[[1, 14], [2, 2], [5, 1], [8, 1]], 431/367873228800], [[[1, 14], [2, 2], [5, 1], [10, 1]], 1747/12262440960000], [[[1, 14], [2, 2], [6, 1], [7, 1]], 23/241416806400], [[[1, 14], [2, 2], [6, 1], [9, 1]], 1/2483144294400], [[[1, 14], [2, 4], [3, 1], [4, 2]], 14776319/52973744947200], [[[1, 14], [2, 4], [3, 1], [5, 1]], 4190773/14714929152000], [[[1, 14], [2, 4], [3, 1], [6, 2]], 352643/211894979788800], [[[1, 14], [2, 4], [3, 1], [8, 1]], 13157/827714764800], [[[1, 14], [2, 4], [3, 1], [10, 1]], 101/76640256000], [[[1, 14], [2, 4], [3, 1], [12, 1]], 39241/105947489894400], [[[1, 14], [2, 4], [3, 2], [4, 1]], 45580121/79460617420800], [[[1, 14], [2, 4], [3, 2], [6, 1]], 7754267/59595463065600], [[[1, 14], [2, 4], [4, 1], [5, 1]], 3708937/22072393728000], [[[1, 14], [2, 4], [4, 1], [6, 2]], 19/150493593600], [[[1, 14], [2, 4], [4, 1], [8, 1]], 1937/145332633600], [[[1, 14], [2, 4], [4, 1], [10, 1]], 67/172440576000], [[[1, 14], [2, 4], [4, 1], [12, 1]], 17/118244966400], [[[1, 14], [2, 4], [4, 2], [6, 1]], 54391/10594748989440], [[[1, 14], [2, 4], [5, 1], [6, 1]], 2599/413857382400], [[[1, 14], [2, 4], [6, 1], [8, 1]], 1/7390310400], [[[1, 14], [2, 4], [6, 1], [10, 1]], 1/689762304000], [[[1, 14], [2, 6], [3, 1], [4, 1]], 31507121/66217181184000], [[[1, 14], [2, 6], [3, 1], [6, 1]], 87229/1103619686400], [[[1, 14], [2, 6], [4, 1], [6, 1]], 304319/13243436236800], [[[1, 14], [3, 1], [4, 2], [5, 1]], 37/65691648000], [[[1, 14], [3, 1], [4, 2], [6, 2]], 1/52973744947200], [[[1, 14], [3, 1], [4, 2], [12, 1]], 1/8828957491200], [[[1, 14], [3, 1], [5, 1], [6, 2]], 47/38626689024000], [[[1, 14], [3, 1], [5, 1], [12, 1]], 47/6437781504000], [[[1, 14], [3, 2], [4, 1], [8, 1]], 149/1655429529600], [[[1, 14], [4, 1], [5, 1], [8, 1]], 1/65691648000], [[[1, 15], [2, 1], [3, 1], [4, 3]], 27427/238381852262400], [[[1, 15], [2, 1], [3, 1], [7, 1]], 19633/15450675609600], [[[1, 15], [2, 1], [3, 1], [9, 1]], 67/1030045040640], [[[1, 15], [2, 1], [3, 2], [4, 2]], 11/22932357120], [[[1, 15], [2, 1], [3, 2], [5, 1]], 125311/10534551552000], [[[1, 15], [2, 1], [3, 2], [6, 2]], 13/5150225203200], [[[1, 15], [2, 1], [3, 2], [8, 1]], 739/6621718118400], [[[1, 15], [2, 1], [3, 2], [12, 1]], 13/858370867200], [[[1, 15], [2, 1], [3, 3], [4, 1]], 1644953/370816214630400], [[[1, 15], [2, 1], [3, 3], [6, 1]], 1475/1589212348416], [[[1, 15], [2, 1], [4, 1], [7, 1]], 239/1716741734400], [[[1, 15], [2, 1], [4, 1], [9, 1]], 1/572247244800], [[[1, 15], [2, 1], [4, 2], [5, 1]], 67/668860416000], [[[1, 15], [2, 1], [4, 2], [8, 1]], 19/5885971660800], [[[1, 15], [2, 1], [4, 3], [6, 1]], 1/4414478745600], [[[1, 15], [2, 1], [5, 1], [8, 1]], 239/12875563008000], [[[1, 15], [2, 1], [5, 1], [10, 1]], 1/668860416000], [[[1, 15], [2, 3], [3, 1], [4, 2]], 17267/980995276800], [[[1, 15], [2, 3], [3, 1], [5, 1]], 101419/2759049216000], [[[1, 15], [2, 3], [3, 1], [6, 2]], 10309/264868724736000], [[[1, 15], [2, 3], [3, 1], [8, 1]], 38057/34054550323200], [[[1, 15], [2, 3], [3, 1], [10, 1]], 17/344881152000], [[[1, 15], [2, 3], [3, 1], [12, 1]], 47/1634992128000], [[[1, 15], [2, 3], [3, 2], [4, 1]], 4763953/79460617420800], [[[1, 15], [2, 3], [3, 2], [6, 1]], 230039/23176013414400], [[[1, 15], [2, 3], [4, 1], [5, 1]], 268339/19313344512000], [[[1, 15], [2, 3], [4, 1], [6, 2]], 1/529737449472], [[[1, 15], [2, 3], [4, 1], [8, 1]], 2281/3210529996800], [[[1, 15], [2, 3], [4, 1], [10, 1]], 323/36787322880000], [[[1, 15], [2, 3], [4, 1], [12, 1]], 17/2452488192000], [[[1, 15], [2, 3], [4, 2], [6, 1]], 481/2942985830400], [[[1, 15], [2, 3], [5, 1], [6, 1]], 67/250822656000], [[[1, 15], [2, 3], [6, 1], [8, 1]], 193/44144787456000], [[[1, 15], [2, 5], [3, 1], [4, 1]], 54655277/595954630656000], [[[1, 15], [2, 5], [3, 1], [6, 1]], 2185801/198651543552000], [[[1, 15], [2, 5], [4, 1], [6, 1]], 45211/22072393728000], [[[1, 16], [2, 2], [3, 1], [4, 2]], 39829/88289574912000], [[[1, 16], [2, 2], [3, 1], [5, 1]], 727603/278112160972800], [[[1, 16], [2, 2], [3, 1], [6, 2]], 40181/100120377950208000], [[[1, 16], [2, 2], [3, 1], [8, 1]], 10721/278112160972800], [[[1, 16], [2, 2], [3, 1], [10, 1]], 17/24831442944000], [[[1, 16], [2, 2], [3, 1], [12, 1]], 29/22889889792000], [[[1, 16], [2, 2], [3, 2], [4, 1]], 569839/185408107315200], [[[1, 16], [2, 2], [3, 2], [6, 1]], 93043/250300944875520], [[[1, 16], [2, 2], [4, 1], [5, 1]], 5737/10300450406400], [[[1, 16], [2, 2], [4, 1], [8, 1]], 437/22889889792000], [[[1, 16], [2, 2], [4, 1], [10, 1]], 17/165542952960000], [[[1, 16], [2, 2], [4, 1], [12, 1]], 17/99325771776000], [[[1, 16], [2, 2], [4, 2], [6, 1]], 871/370816214630400], [[[1, 16], [2, 2], [5, 1], [6, 1]], 239/57940033536000], [[[1, 16], [2, 2], [6, 1], [8, 1]], 17/198651543552000], [[[1, 16], [2, 4], [3, 1], [4, 1]], 86488727/8343364829184000], [[[1, 16], [2, 4], [3, 1], [6, 1]], 22360727/25030094487552000], [[[1, 16], [2, 4], [4, 1], [6, 1]], 40693/397303087104000], [[[1, 16], [3, 1], [4, 1], [8, 1]], 17/39730308710400], [[[1, 17], [2, 1], [3, 1], [4, 2]], 383/115880067072000], [[[1, 17], [2, 1], [3, 1], [5, 1]], 4633/49662885888000], [[[1, 17], [2, 1], [3, 1], [6, 2]], 1/206009008128000], [[[1, 17], [2, 1], [3, 1], [8, 1]], 281/556224321945600], [[[1, 17], [2, 1], [3, 1], [12, 1]], 1/34334834688000], [[[1, 17], [2, 1], [3, 2], [4, 1]], 32687/556224321945600], [[[1, 17], [2, 1], [3, 2], [6, 1]], 1087/208584120729600], [[[1, 17], [2, 1], [4, 1], [5, 1]], 641/77253378048000], [[[1, 17], [2, 1], [4, 1], [8, 1]], 233/1059474898944000], [[[1, 17], [2, 1], [4, 1], [10, 1]], 1/993257717760000], [[[1, 17], [2, 1], [4, 1], [12, 1]], 1/595954630656000], [[[1, 17], [2, 1], [6, 1], [8, 1]], 1/1191909261312000], [[[1, 17], [2, 3], [3, 1], [4, 1]], 250177/379243855872000], [[[1, 17], [2, 3], [3, 1], [6, 1]], 56761/1390560804864000], [[[1, 17], [2, 3], [4, 1], [6, 1]], 24481/8343364829184000], [[[1, 18], [2, 2], [3, 1], [4, 1]], 59569/2781121609728000], [[[1, 18], [2, 2], [3, 1], [6, 1]], 47903/50060188975104000], [[[1, 18], [2, 2], [4, 1], [6, 1]], 17/333734593167360], [[[1, 19], [2, 1], [3, 1], [4, 1]], 151/556224321945600], [[[1, 19], [2, 1], [3, 1], [6, 1]], 37/4171682414592000], [[[1, 19], [2, 1], [4, 1], [6, 1]], 1/2085841207296000], [[[2, 2], [4, 2], [6, 3], [18, 2]], 1/46656], [[[2, 2], [4, 2], [6, 4], [22, 1]], 1/1368576], [[[2, 2], [4, 2], [6, 6], [18, 1]], 1/3359232], [[[2, 2], [6, 2], [14, 1], [18, 2]], 1/3402], [[[2, 2], [6, 3], [10, 1], [14, 2]], 1/317520], [[[2, 2], [6, 3], [14, 1], [22, 1]], 1/99792], [[[2, 2], [6, 5], [14, 1], [18, 1]], 1/244944], [[[2, 2], [10, 1], [14, 2], [18, 1]], 1/4410], [[[2, 2], [14, 1], [18, 1], [22, 1]], 1/1386], [[[2, 4], [3, 2], [4, 2], [6, 6]], 1/26873856], [[[2, 4], [3, 2], [6, 2], [14, 2]], 1/42336], [[[2, 4], [3, 2], [6, 3], [22, 1]], 1/114048], [[[2, 4], [3, 2], [6, 5], [14, 1]], 1/1959552], [[[2, 4], [3, 2], [6, 5], [18, 1]], 1/279936], [[[2, 4], [4, 1], [6, 7], [8, 1]], 1/80621568], [[[2, 4], [4, 2], [6, 2], [18, 2]], 5/373248], [[[2, 4], [4, 2], [6, 3], [22, 1]], 49/10948608], [[[2, 4], [4, 2], [6, 4], [10, 2]], 1/12441600], [[[2, 4], [4, 2], [6, 5], [14, 1]], 1/5225472], [[[2, 4], [4, 2], [6, 5], [18, 1]], 61/26873856], [[[2, 4], [4, 2], [6, 6], [10, 1]], 1/11197440], [[[2, 4], [4, 2], [6, 6], [12, 1]], 1/4478976], [[[2, 4], [4, 2], [10, 1], [14, 2]], 1/47040], [[[2, 4], [4, 2], [14, 1], [22, 1]], 1/14784], [[[2, 4], [4, 2], [18, 1], [22, 1]], 1/152064], [[[2, 4], [4, 3], [8, 1], [22, 1]], 1/67584], [[[2, 4], [4, 4], [6, 1], [22, 1]], 1/202752], [[[2, 4], [4, 4], [6, 3], [18, 1]], 1/497664], [[[2, 4], [6, 1], [14, 1], [18, 2]], 1/6804], [[[2, 4], [6, 1], [14, 2], [18, 1]], 1/5292], [[[2, 4], [6, 2], [10, 1], [14, 2]], 1/52920], [[[2, 4], [6, 2], [10, 1], [18, 2]], 1/19440], [[[2, 4], [6, 2], [12, 1], [14, 2]], 1/7056], [[[2, 4], [6, 2], [14, 1], [22, 1]], 1/16632], [[[2, 4], [6, 2], [18, 1], [22, 1]], 1/14256], [[[2, 4], [6, 3], [10, 1], [22, 1]], 1/570240], [[[2, 4], [6, 3], [10, 2], [14, 1]], 1/604800], [[[2, 4], [6, 3], [12, 1], [22, 1]], 1/19008], [[[2, 4], [6, 4], [14, 1], [18, 1]], 5/163296], [[[2, 4], [6, 5], [10, 1], [14, 1]], 1/653184], [[[2, 4], [6, 5], [10, 1], [18, 1]], 1/1399680], [[[2, 4], [6, 5], [12, 1], [14, 1]], 1/326592], [[[2, 4], [6, 5], [12, 1], [18, 1]], 1/46656], [[[2, 4], [10, 1], [14, 1], [22, 1]], 1/1540], [[[2, 4], [10, 1], [18, 1], [22, 1]], 1/7920], [[[2, 4], [10, 2], [14, 1], [18, 1]], 1/8400], [[[2, 6], [3, 2], [4, 2], [6, 5]], 17/214990848], [[[2, 6], [3, 2], [6, 1], [10, 3]], 1/576000], [[[2, 6], [3, 2], [6, 1], [14, 2]], 1/846720], [[[2, 6], [3, 2], [6, 2], [22, 1]], 1/1824768], [[[2, 6], [3, 2], [6, 3], [10, 2]], 1/345600], [[[2, 6], [3, 2], [6, 4], [14, 1]], 13/3919104], [[[2, 6], [3, 2], [6, 4], [18, 1]], 1/497664], [[[2, 6], [3, 2], [6, 5], [10, 1]], 13/11197440], [[[2, 6], [4, 1], [6, 6], [8, 1]], 1/10077696], [[[2, 6], [4, 1], [8, 1], [10, 3]], 1/64000], [[[2, 6], [4, 2], [6, 1], [10, 3]], 1/192000], [[[2, 6], [4, 2], [6, 1], [14, 2]], 1/56448], [[[2, 6], [4, 2], [6, 1], [18, 2]], 1/746496], [[[2, 6], [4, 2], [6, 2], [22, 1]], 17/1824768], [[[2, 6], [4, 2], [6, 3], [10, 2]], 25/3981312], [[[2, 6], [4, 2], [6, 4], [14, 1]], 109/69672960], [[[2, 6], [4, 2], [6, 4], [18, 1]], 287/53747712], [[[2, 6], [4, 2], [6, 5], [10, 1]], 5/5971968], [[[2, 6], [4, 2], [6, 5], [12, 1]], 17/35831808], [[[2, 6], [4, 2], [10, 1], [22, 1]], 1/56320], [[[2, 6], [4, 2], [10, 2], [14, 1]], 1/76800], [[[2, 6], [4, 2], [10, 2], [18, 1]], 1/1382400], [[[2, 6], [4, 3], [6, 4], [8, 1]], 1/11943936], [[[2, 6], [4, 3], [8, 1], [10, 2]], 1/614400], [[[2, 6], [4, 4], [6, 1], [10, 2]], 1/1843200], [[[2, 6], [4, 4], [6, 2], [14, 1]], 1/774144], [[[2, 6], [4, 4], [6, 2], [18, 1]], 5/3981312], [[[2, 6], [4, 4], [6, 3], [10, 1]], 1/1658880], [[[2, 6], [4, 4], [10, 1], [14, 1]], 1/5160960], [[[2, 6], [6, 1], [10, 1], [14, 2]], 19/105840], [[[2, 6], [6, 1], [10, 1], [18, 2]], 1/38880], [[[2, 6], [6, 1], [10, 3], [12, 1]], 1/96000], [[[2, 6], [6, 1], [12, 1], [14, 2]], 1/141120], [[[2, 6], [6, 1], [14, 1], [22, 1]], 1/33264], [[[2, 6], [6, 1], [18, 1], [22, 1]], 1/228096], [[[2, 6], [6, 2], [10, 1], [22, 1]], 7/95040], [[[2, 6], [6, 2], [10, 2], [14, 1]], 11/100800], [[[2, 6], [6, 2], [10, 2], [18, 1]], 1/14400], [[[2, 6], [6, 2], [12, 1], [22, 1]], 1/304128], [[[2, 6], [6, 3], [10, 2], [12, 1]], 1/57600], [[[2, 6], [6, 3], [14, 1], [18, 1]], 25/489888], [[[2, 6], [6, 4], [10, 1], [14, 1]], 713/52254720], [[[2, 6], [6, 4], [10, 1], [18, 1]], 37/933120], [[[2, 6], [6, 4], [12, 1], [14, 1]], 13/653184], [[[2, 6], [6, 4], [12, 1], [18, 1]], 1/82944], [[[2, 6], [6, 5], [10, 1], [12, 1]], 13/1866240], [[[2, 8], [3, 2], [4, 2], [6, 4]], 1/67184640], [[[2, 8], [3, 2], [6, 1], [22, 1]], 1/510935040], [[[2, 8], [3, 2], [6, 2], [10, 2]], 1/1843200], [[[2, 8], [3, 2], [6, 3], [14, 1]], 1/2985984], [[[2, 8], [3, 2], [6, 3], [18, 1]], 47/418037760], [[[2, 8], [3, 2], [6, 4], [10, 1]], 23/44789760], [[[2, 8], [4, 1], [6, 5], [8, 1]], 101/537477120], [[[2, 8], [4, 1], [8, 1], [22, 1]], 1/36495360], [[[2, 8], [4, 2], [6, 1], [22, 1]], 19/27371520], [[[2, 8], [4, 2], [6, 2], [10, 2]], 77/16588800], [[[2, 8], [4, 2], [6, 3], [14, 1]], 2729/836075520], [[[2, 8], [4, 2], [6, 3], [18, 1]], 103/44789760], [[[2, 8], [4, 2], [6, 4], [10, 1]], 7993/4180377600], [[[2, 8], [4, 2], [6, 4], [12, 1]], 1/11197440], [[[2, 8], [4, 2], [14, 1], [18, 1]], 1/11612160], [[[2, 8], [4, 3], [6, 3], [8, 1]], 1/5971968], [[[2, 8], [4, 3], [8, 1], [14, 1]], 1/5160960], [[[2, 8], [4, 4], [6, 1], [14, 1]], 1/4423680], [[[2, 8], [4, 4], [6, 1], [18, 1]], 1/7962624], [[[2, 8], [4, 4], [6, 2], [10, 1]], 1/4423680], [[[2, 8], [6, 1], [10, 1], [22, 1]], 7/760320], [[[2, 8], [6, 1], [10, 2], [14, 1]], 1/17920], [[[2, 8], [6, 1], [10, 2], [18, 1]], 19/691200], [[[2, 8], [6, 1], [12, 1], [22, 1]], 1/85155840], [[[2, 8], [6, 2], [10, 2], [12, 1]], 1/307200], [[[2, 8], [6, 2], [14, 1], [18, 1]], 347/39191040], [[[2, 8], [6, 3], [10, 1], [14, 1]], 485921/14631321600], [[[2, 8], [6, 3], [10, 1], [18, 1]], 1/43740], [[[2, 8], [6, 3], [12, 1], [14, 1]], 1/497664], [[[2, 8], [6, 3], [12, 1], [18, 1]], 47/69672960], [[[2, 8], [6, 4], [10, 1], [12, 1]], 23/7464960], [[[2, 8], [10, 1], [14, 1], [18, 1]], 401/203212800], [[[2, 10], [3, 2], [4, 2], [6, 3]], 23/30098718720], [[[2, 10], [3, 2], [6, 1], [10, 2]], 11/1548288000], [[[2, 10], [3, 2], [6, 2], [14, 1]], 151/17557585920], [[[2, 10], [3, 2], [6, 2], [18, 1]], 1/2508226560], [[[2, 10], [3, 2], [6, 3], [10, 1]], 143/4180377600], [[[2, 10], [4, 1], [6, 4], [8, 1]], 121/1410877440], [[[2, 10], [4, 1], [8, 1], [10, 2]], 151/2322432000], [[[2, 10], [4, 2], [6, 1], [10, 2]], 557/870912000], [[[2, 10], [4, 2], [6, 2], [14, 1]], 151/418037760], [[[2, 10], [4, 2], [6, 2], [18, 1]], 559/3762339840], [[[2, 10], [4, 2], [6, 3], [10, 1]], 439/716636160], [[[2, 10], [4, 2], [6, 3], [12, 1]], 23/5016453120], [[[2, 10], [4, 2], [10, 1], [14, 1]], 641/2438553600], [[[2, 10], [4, 2], [10, 1], [18, 1]], 1/348364800], [[[2, 10], [4, 3], [6, 2], [8, 1]], 1/79626240], [[[2, 10], [4, 3], [8, 1], [10, 1]], 1/154828800], [[[2, 10], [4, 4], [6, 1], [10, 1]], 13/619315200], [[[2, 10], [6, 1], [10, 2], [12, 1]], 11/258048000], [[[2, 10], [6, 1], [14, 1], [18, 1]], 23/243855360], [[[2, 10], [6, 2], [10, 1], [14, 1]], 36203/7315660800], [[[2, 10], [6, 2], [10, 1], [18, 1]], 53/24494400], [[[2, 10], [6, 2], [12, 1], [14, 1]], 151/2926264320], [[[2, 10], [6, 2], [12, 1], [18, 1]], 1/418037760], [[[2, 10], [6, 3], [10, 1], [12, 1]], 143/696729600], [[[2, 12], [3, 2], [4, 2], [6, 2]], 1/118244966400], [[[2, 12], [3, 2], [6, 1], [14, 1]], 107/3862668902400], [[[2, 12], [3, 2], [6, 2], [10, 1]], 23/50164531200], [[[2, 12], [4, 1], [6, 3], [8, 1]], 119681/19865154355200], [[[2, 12], [4, 1], [8, 1], [14, 1]], 1/2786918400], [[[2, 12], [4, 1], [8, 1], [18, 1]], 1/275904921600], [[[2, 12], [4, 2], [6, 1], [14, 1]], 17/1625702400], [[[2, 12], [4, 2], [6, 1], [18, 1]], 31/51732172800], [[[2, 12], [4, 2], [6, 2], [10, 1]], 43/1045094400], [[[2, 12], [4, 2], [6, 2], [12, 1]], 1/19707494400], [[[2, 12], [4, 3], [6, 1], [8, 1]], 1/6688604160], [[[2, 12], [6, 1], [10, 1], [14, 1]], 901/5852528640], [[[2, 12], [6, 1], [10, 1], [18, 1]], 23/2090188800], [[[2, 12], [6, 1], [12, 1], [14, 1]], 107/643778150400], [[[2, 12], [6, 2], [10, 1], [12, 1]], 23/8360755200], [[[2, 14], [3, 2], [4, 2], [6, 1]], 1/52973744947200], [[[2, 14], [3, 2], [6, 1], [10, 1]], 47/38626689024000], [[[2, 14], [4, 1], [6, 2], [8, 1]], 149/1655429529600], [[[2, 14], [4, 1], [8, 1], [10, 1]], 1/65691648000], [[[2, 14], [4, 2], [6, 1], [10, 1]], 37/65691648000], [[[2, 14], [4, 2], [6, 1], [12, 1]], 1/8828957491200], [[[2, 14], [6, 1], [10, 1], [12, 1]], 47/6437781504000], [[[2, 16], [4, 1], [6, 1], [8, 1]], 17/39730308710400], [[[1, 1], [2, 1], [3, 2], [4, 3], [9, 2]], 1/186624], [[[1, 1], [2, 1], [3, 3], [4, 3], [11, 1]], 1/5474304], [[[1, 1], [2, 1], [3, 5], [4, 3], [9, 1]], 1/13436928], [[[1, 1], [2, 1], [4, 3], [6, 2], [18, 2]], 1/186624], [[[1, 1], [2, 1], [4, 3], [6, 3], [22, 1]], 1/5474304], [[[1, 1], [2, 1], [4, 3], [6, 5], [18, 1]], 1/13436928], [[[1, 1], [2, 1], [4, 3], [9, 1], [11, 1]], 1/76032], [[[1, 1], [2, 1], [4, 3], [18, 1], [22, 1]], 1/76032], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 7]], 1/13436928], [[[1, 1], [2, 3], [3, 1], [6, 3], [18, 2]], 1/5832], [[[1, 1], [2, 3], [3, 1], [6, 4], [22, 1]], 1/171072], [[[1, 1], [2, 3], [3, 1], [6, 6], [14, 1]], 1/979776], [[[1, 1], [2, 3], [3, 1], [6, 6], [18, 1]], 1/419904], [[[1, 1], [2, 3], [3, 1], [6, 7], [8, 1]], 1/60466176], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 5]], 1/107495424], [[[1, 1], [2, 3], [3, 2], [6, 2], [14, 2]], 1/42336], [[[1, 1], [2, 3], [3, 2], [8, 1], [9, 2]], 1/93312], [[[1, 1], [2, 3], [3, 3], [4, 2], [6, 5]], 1/1492992], [[[1, 1], [2, 3], [3, 3], [4, 3], [6, 4]], 1/3981312], [[[1, 1], [2, 3], [3, 3], [4, 5], [8, 1]], 1/15925248], [[[1, 1], [2, 3], [3, 3], [6, 2], [22, 1]], 1/19008], [[[1, 1], [2, 3], [3, 3], [6, 4], [14, 1]], 1/108864], [[[1, 1], [2, 3], [3, 3], [6, 4], [18, 1]], 1/46656], [[[1, 1], [2, 3], [3, 3], [6, 5], [8, 1]], 7/1679616], [[[1, 1], [2, 3], [3, 3], [8, 1], [11, 1]], 1/2737152], [[[1, 1], [2, 3], [3, 5], [4, 3], [6, 2]], 1/35831808], [[[1, 1], [2, 3], [3, 5], [6, 3], [8, 1]], 1/2239488], [[[1, 1], [2, 3], [3, 5], [8, 1], [9, 1]], 1/6718464], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 7]], 1/50388480], [[[1, 1], [2, 3], [4, 1], [6, 3], [14, 2]], 1/254016], [[[1, 1], [2, 3], [4, 1], [6, 3], [18, 2]], 1/7776], [[[1, 1], [2, 3], [4, 1], [6, 4], [22, 1]], 1/228096], [[[1, 1], [2, 3], [4, 1], [6, 5], [12, 2]], 1/559872], [[[1, 1], [2, 3], [4, 1], [6, 6], [18, 1]], 1/559872], [[[1, 1], [2, 3], [4, 1], [6, 7], [12, 1]], 1/30233088], [[[1, 1], [2, 3], [4, 1], [8, 2], [22, 1]], 1/5632], [[[1, 1], [2, 3], [4, 1], [14, 2], [18, 1]], 1/3528], [[[1, 1], [2, 3], [4, 2], [6, 2], [18, 2]], 1/20736], [[[1, 1], [2, 3], [4, 2], [6, 3], [22, 1]], 25/1824768], [[[1, 1], [2, 3], [4, 2], [6, 4], [8, 2]], 1/995328], [[[1, 1], [2, 3], [4, 2], [6, 4], [10, 2]], 1/12441600], [[[1, 1], [2, 3], [4, 2], [6, 5], [14, 1]], 1/5225472], [[[1, 1], [2, 3], [4, 2], [6, 5], [18, 1]], 1/165888], [[[1, 1], [2, 3], [4, 2], [18, 1], [22, 1]], 1/25344], [[[1, 1], [2, 3], [4, 3], [5, 1], [22, 1]], 1/42240], [[[1, 1], [2, 3], [4, 3], [6, 1], [18, 2]], 1/373248], [[[1, 1], [2, 3], [4, 3], [6, 2], [22, 1]], 1/912384], [[[1, 1], [2, 3], [4, 3], [6, 3], [10, 2]], 1/49766400], [[[1, 1], [2, 3], [4, 3], [6, 4], [14, 1]], 1/2985984], [[[1, 1], [2, 3], [4, 3], [6, 4], [18, 1]], 5/8957952], [[[1, 1], [2, 3], [4, 3], [6, 5], [8, 1]], 1/2985984], [[[1, 1], [2, 3], [4, 3], [6, 5], [10, 1]], 7/44789760], [[[1, 1], [2, 3], [4, 3], [6, 5], [12, 1]], 1/17915904], [[[1, 1], [2, 3], [4, 3], [10, 1], [22, 1]], 1/84480], [[[1, 1], [2, 3], [4, 3], [10, 2], [14, 1]], 1/268800], [[[1, 1], [2, 3], [4, 3], [10, 2], [18, 1]], 1/691200], [[[1, 1], [2, 3], [4, 3], [12, 1], [22, 1]], 1/25344], [[[1, 1], [2, 3], [4, 5], [6, 2], [18, 1]], 1/1990656], [[[1, 1], [2, 3], [4, 5], [8, 1], [9, 1]], 1/221184], [[[1, 1], [2, 3], [4, 5], [10, 1], [14, 1]], 1/2580480], [[[1, 1], [2, 3], [6, 1], [14, 1], [18, 2]], 1/2268], [[[1, 1], [2, 3], [6, 1], [14, 2], [18, 1]], 1/5292], [[[1, 1], [2, 3], [6, 2], [8, 1], [18, 2]], 1/31104], [[[1, 1], [2, 3], [6, 2], [10, 1], [14, 2]], 1/17640], [[[1, 1], [2, 3], [6, 2], [10, 1], [18, 2]], 1/9720], [[[1, 1], [2, 3], [6, 2], [12, 1], [14, 2]], 1/7056], [[[1, 1], [2, 3], [6, 2], [14, 1], [22, 1]], 1/5544], [[[1, 1], [2, 3], [6, 3], [8, 1], [22, 1]], 1/912384], [[[1, 1], [2, 3], [6, 3], [10, 1], [22, 1]], 1/285120], [[[1, 1], [2, 3], [6, 3], [10, 2], [14, 1]], 1/453600], [[[1, 1], [2, 3], [6, 4], [14, 1], [18, 1]], 13/163296], [[[1, 1], [2, 3], [6, 5], [8, 1], [18, 1]], 1/2239488], [[[1, 1], [2, 3], [6, 5], [10, 1], [18, 1]], 1/699840], [[[1, 1], [2, 3], [8, 1], [9, 1], [11, 1]], 1/38016], [[[1, 1], [2, 3], [8, 1], [10, 1], [14, 2]], 1/3920], [[[1, 1], [2, 3], [8, 1], [14, 1], [22, 1]], 1/1232], [[[1, 1], [2, 3], [8, 1], [18, 1], [22, 1]], 1/12672], [[[1, 1], [2, 3], [10, 1], [14, 1], [22, 1]], 1/1540], [[[1, 1], [2, 3], [10, 1], [18, 1], [22, 1]], 1/3960], [[[1, 1], [2, 3], [10, 2], [14, 1], [18, 1]], 1/6300], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 7]], 1/241864704], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 6]], 1/1327104], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 5]], 1/4478976], [[[1, 1], [2, 5], [3, 1], [4, 3], [22, 1]], 1/101376], [[[1, 1], [2, 5], [3, 1], [4, 4], [6, 4]], 1/1990656], [[[1, 1], [2, 5], [3, 1], [6, 2], [14, 2]], 1/7056], [[[1, 1], [2, 5], [3, 1], [6, 2], [18, 2]], 1/11664], [[[1, 1], [2, 5], [3, 1], [6, 3], [22, 1]], 5/57024], [[[1, 1], [2, 5], [3, 1], [6, 4], [10, 2]], 1/777600], [[[1, 1], [2, 5], [3, 1], [6, 5], [14, 1]], 23/1959552], [[[1, 1], [2, 5], [3, 1], [6, 5], [18, 1]], 13/279936], [[[1, 1], [2, 5], [3, 1], [6, 6], [8, 1]], 1/7558272], [[[1, 1], [2, 5], [3, 1], [6, 6], [10, 1]], 7/5598720], [[[1, 1], [2, 5], [3, 1], [6, 6], [12, 1]], 1/139968], [[[1, 1], [2, 5], [3, 1], [8, 1], [10, 3]], 1/48000], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 6]], 1/4478976], [[[1, 1], [2, 5], [3, 2], [4, 1], [9, 2]], 1/3732480], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 5]], 1/3981312], [[[1, 1], [2, 5], [3, 2], [4, 3], [6, 4]], 7/13436928], [[[1, 1], [2, 5], [3, 2], [6, 1], [10, 3]], 1/192000], [[[1, 1], [2, 5], [3, 2], [6, 1], [14, 2]], 1/84672], [[[1, 1], [2, 5], [3, 2], [6, 2], [22, 1]], 1/152064], [[[1, 1], [2, 5], [3, 2], [6, 3], [10, 2]], 1/207360], [[[1, 1], [2, 5], [3, 2], [6, 4], [14, 1]], 1/186624], [[[1, 1], [2, 5], [3, 2], [6, 4], [18, 1]], 1/124416], [[[1, 1], [2, 5], [3, 2], [6, 5], [8, 1]], 1/17915904], [[[1, 1], [2, 5], [3, 2], [6, 5], [10, 1]], 1/5598720], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 5]], 7/6718464], [[[1, 1], [2, 5], [3, 3], [4, 1], [11, 1]], 1/109486080], [[[1, 1], [2, 5], [3, 3], [4, 2], [6, 4]], 1/1327104], [[[1, 1], [2, 5], [3, 3], [4, 2], [8, 2]], 1/7962624], [[[1, 1], [2, 5], [3, 3], [4, 3], [6, 3]], 1/1990656], [[[1, 1], [2, 5], [3, 3], [6, 2], [10, 2]], 1/86400], [[[1, 1], [2, 5], [3, 3], [6, 3], [14, 1]], 5/217728], [[[1, 1], [2, 5], [3, 3], [6, 3], [18, 1]], 1/93312], [[[1, 1], [2, 5], [3, 3], [6, 4], [8, 1]], 475/53747712], [[[1, 1], [2, 5], [3, 3], [6, 4], [10, 1]], 7/622080], [[[1, 1], [2, 5], [3, 5], [4, 1], [6, 3]], 1/8957952], [[[1, 1], [2, 5], [3, 5], [4, 1], [9, 1]], 1/268738560], [[[1, 1], [2, 5], [3, 5], [6, 2], [8, 1]], 1/17915904], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 6]], 1/6298560], [[[1, 1], [2, 5], [4, 1], [5, 1], [10, 3]], 1/40000], [[[1, 1], [2, 5], [4, 1], [6, 2], [14, 2]], 1/42336], [[[1, 1], [2, 5], [4, 1], [6, 2], [18, 2]], 19/248832], [[[1, 1], [2, 5], [4, 1], [6, 3], [22, 1]], 65/2433024], [[[1, 1], [2, 5], [4, 1], [6, 4], [8, 2]], 1/995328], [[[1, 1], [2, 5], [4, 1], [6, 4], [10, 2]], 1/1244160], [[[1, 1], [2, 5], [4, 1], [6, 4], [12, 2]], 1/279936], [[[1, 1], [2, 5], [4, 1], [6, 5], [14, 1]], 1/435456], [[[1, 1], [2, 5], [4, 1], [6, 5], [18, 1]], 1/73728], [[[1, 1], [2, 5], [4, 1], [6, 6], [8, 1]], 5/6718464], [[[1, 1], [2, 5], [4, 1], [6, 6], [10, 1]], 1/1399680], [[[1, 1], [2, 5], [4, 1], [6, 6], [12, 1]], 97/60466176], [[[1, 1], [2, 5], [4, 1], [8, 1], [10, 3]], 1/32000], [[[1, 1], [2, 5], [4, 1], [8, 2], [10, 2]], 1/51200], [[[1, 1], [2, 5], [4, 1], [9, 1], [11, 1]], 1/1520640], [[[1, 1], [2, 5], [4, 1], [10, 1], [14, 2]], 1/3136], [[[1, 1], [2, 5], [4, 1], [10, 3], [12, 1]], 1/24000], [[[1, 1], [2, 5], [4, 1], [14, 1], [22, 1]], 1/4928], [[[1, 1], [2, 5], [4, 1], [18, 1], [22, 1]], 1/33792], [[[1, 1], [2, 5], [4, 2], [6, 1], [10, 3]], 1/96000], [[[1, 1], [2, 5], [4, 2], [6, 1], [14, 2]], 1/56448], [[[1, 1], [2, 5], [4, 2], [6, 1], [18, 2]], 1/82944], [[[1, 1], [2, 5], [4, 2], [6, 2], [22, 1]], 1/55296], [[[1, 1], [2, 5], [4, 2], [6, 3], [8, 2]], 49/7962624], [[[1, 1], [2, 5], [4, 2], [6, 3], [10, 2]], 31/3981312], [[[1, 1], [2, 5], [4, 2], [6, 4], [14, 1]], 29/5971968], [[[1, 1], [2, 5], [4, 2], [6, 4], [18, 1]], 89/5971968], [[[1, 1], [2, 5], [4, 2], [6, 5], [8, 1]], 1/1990656], [[[1, 1], [2, 5], [4, 2], [6, 5], [10, 1]], 31/14929920], [[[1, 1], [2, 5], [4, 2], [6, 5], [12, 1]], 1/663552], [[[1, 1], [2, 5], [4, 2], [8, 1], [22, 1]], 1/16896], [[[1, 1], [2, 5], [4, 2], [8, 2], [9, 1]], 1/110592], [[[1, 1], [2, 5], [4, 2], [8, 2], [18, 1]], 1/110592], [[[1, 1], [2, 5], [4, 2], [10, 1], [22, 1]], 1/15360], [[[1, 1], [2, 5], [4, 2], [10, 2], [14, 1]], 1/35840], [[[1, 1], [2, 5], [4, 2], [10, 2], [18, 1]], 7/1382400], [[[1, 1], [2, 5], [4, 3], [5, 1], [6, 4]], 1/7464960], [[[1, 1], [2, 5], [4, 3], [5, 1], [10, 2]], 1/384000], [[[1, 1], [2, 5], [4, 3], [6, 1], [22, 1]], 41/912384], [[[1, 1], [2, 5], [4, 3], [6, 2], [10, 2]], 17/1658880], [[[1, 1], [2, 5], [4, 3], [6, 3], [14, 1]], 107/52254720], [[[1, 1], [2, 5], [4, 3], [6, 3], [18, 1]], 305/13436928], [[[1, 1], [2, 5], [4, 3], [6, 4], [8, 1]], 25/11943936], [[[1, 1], [2, 5], [4, 3], [6, 4], [10, 1]], 49/44789760], [[[1, 1], [2, 5], [4, 3], [6, 4], [12, 1]], 5/1492992], [[[1, 1], [2, 5], [4, 3], [8, 1], [10, 2]], 1/614400], [[[1, 1], [2, 5], [4, 3], [10, 2], [12, 1]], 1/230400], [[[1, 1], [2, 5], [4, 3], [14, 1], [18, 1]], 1/362880], [[[1, 1], [2, 5], [4, 4], [6, 1], [8, 2]], 1/147456], [[[1, 1], [2, 5], [4, 4], [6, 1], [10, 2]], 1/1843200], [[[1, 1], [2, 5], [4, 4], [6, 2], [14, 1]], 1/774144], [[[1, 1], [2, 5], [4, 4], [6, 2], [18, 1]], 1/221184], [[[1, 1], [2, 5], [4, 4], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 5], [4, 4], [10, 1], [14, 1]], 1/860160], [[[1, 1], [2, 5], [4, 5], [6, 1], [14, 1]], 1/442368], [[[1, 1], [2, 5], [4, 5], [6, 1], [18, 1]], 1/3981312], [[[1, 1], [2, 5], [4, 5], [6, 2], [8, 1]], 1/442368], [[[1, 1], [2, 5], [4, 5], [6, 2], [10, 1]], 7/6635520], [[[1, 1], [2, 5], [5, 1], [6, 3], [10, 2]], 1/1036800], [[[1, 1], [2, 5], [5, 1], [6, 5], [10, 1]], 1/1866240], [[[1, 1], [2, 5], [5, 1], [10, 2], [14, 1]], 1/2800], [[[1, 1], [2, 5], [5, 1], [10, 2], [18, 1]], 1/14400], [[[1, 1], [2, 5], [6, 1], [8, 1], [14, 2]], 1/4704], [[[1, 1], [2, 5], [6, 1], [8, 1], [18, 2]], 1/62208], [[[1, 1], [2, 5], [6, 1], [10, 1], [14, 2]], 1/2520], [[[1, 1], [2, 5], [6, 1], [10, 1], [18, 2]], 1/7776], [[[1, 1], [2, 5], [6, 1], [10, 3], [12, 1]], 1/32000], [[[1, 1], [2, 5], [6, 1], [12, 1], [14, 2]], 1/14112], [[[1, 1], [2, 5], [6, 1], [14, 1], [22, 1]], 1/5544], [[[1, 1], [2, 5], [6, 1], [18, 1], [22, 1]], 1/19008], [[[1, 1], [2, 5], [6, 2], [8, 1], [22, 1]], 13/152064], [[[1, 1], [2, 5], [6, 2], [10, 1], [22, 1]], 1/8640], [[[1, 1], [2, 5], [6, 2], [10, 2], [14, 1]], 43/302400], [[[1, 1], [2, 5], [6, 2], [10, 2], [18, 1]], 23/129600], [[[1, 1], [2, 5], [6, 2], [12, 1], [22, 1]], 1/25344], [[[1, 1], [2, 5], [6, 3], [8, 1], [10, 2]], 1/8294400], [[[1, 1], [2, 5], [6, 3], [10, 2], [12, 1]], 1/34560], [[[1, 1], [2, 5], [6, 3], [14, 1], [18, 1]], 31/163296], [[[1, 1], [2, 5], [6, 4], [8, 1], [14, 1]], 17/3483648], [[[1, 1], [2, 5], [6, 4], [8, 1], [18, 1]], 53/1492992], [[[1, 1], [2, 5], [6, 4], [10, 1], [14, 1]], 151/4354560], [[[1, 1], [2, 5], [6, 4], [10, 1], [18, 1]], 47/933120], [[[1, 1], [2, 5], [6, 4], [12, 1], [14, 1]], 1/31104], [[[1, 1], [2, 5], [6, 4], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 5], [6, 5], [8, 1], [10, 1]], 1/7464960], [[[1, 1], [2, 5], [6, 5], [8, 1], [12, 1]], 1/2985984], [[[1, 1], [2, 5], [6, 5], [10, 1], [12, 1]], 1/933120], [[[1, 1], [2, 5], [8, 1], [10, 1], [22, 1]], 3/14080], [[[1, 1], [2, 5], [8, 1], [10, 2], [14, 1]], 1/6400], [[[1, 1], [2, 5], [8, 1], [10, 2], [18, 1]], 1/115200], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 6]], 5/15116544], [[[1, 1], [2, 7], [3, 1], [4, 1], [10, 3]], 1/64000], [[[1, 1], [2, 7], [3, 1], [4, 1], [14, 2]], 1/141120], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 5]], 377/179159040], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 4]], 1/1990656], [[[1, 1], [2, 7], [3, 1], [4, 3], [10, 2]], 1/921600], [[[1, 1], [2, 7], [3, 1], [4, 4], [6, 3]], 1/1769472], [[[1, 1], [2, 7], [3, 1], [6, 1], [10, 3]], 3/32000], [[[1, 1], [2, 7], [3, 1], [6, 1], [14, 2]], 1/141120], [[[1, 1], [2, 7], [3, 1], [6, 2], [22, 1]], 19/912384], [[[1, 1], [2, 7], [3, 1], [6, 3], [10, 2]], 11/103680], [[[1, 1], [2, 7], [3, 1], [6, 4], [14, 1]], 47/1224720], [[[1, 1], [2, 7], [3, 1], [6, 4], [18, 1]], 65/1679616], [[[1, 1], [2, 7], [3, 1], [6, 5], [8, 1]], 101/403107840], [[[1, 1], [2, 7], [3, 1], [6, 5], [10, 1]], 1049/44789760], [[[1, 1], [2, 7], [3, 1], [6, 5], [12, 1]], 83/8957952], [[[1, 1], [2, 7], [3, 1], [8, 1], [22, 1]], 1/27371520], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 5]], 163/143327232], [[[1, 1], [2, 7], [3, 2], [4, 2], [6, 4]], 1/5971968], [[[1, 1], [2, 7], [3, 2], [4, 3], [6, 3]], 41/358318080], [[[1, 1], [2, 7], [3, 2], [6, 1], [22, 1]], 1/12165120], [[[1, 1], [2, 7], [3, 2], [6, 2], [10, 2]], 77/16588800], [[[1, 1], [2, 7], [3, 2], [6, 3], [14, 1]], 29/6967296], [[[1, 1], [2, 7], [3, 2], [6, 3], [18, 1]], 17/9953280], [[[1, 1], [2, 7], [3, 2], [6, 4], [8, 1]], 1/8957952], [[[1, 1], [2, 7], [3, 2], [6, 4], [10, 1]], 37/11197440], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 4]], 4507/2149908480], [[[1, 1], [2, 7], [3, 3], [4, 2], [6, 3]], 1/9953280], [[[1, 1], [2, 7], [3, 3], [4, 3], [8, 1]], 1/318504960], [[[1, 1], [2, 7], [3, 3], [6, 2], [14, 1]], 1/1088640], [[[1, 1], [2, 7], [3, 3], [6, 3], [8, 1]], 23/22394880], [[[1, 1], [2, 7], [3, 3], [6, 3], [10, 1]], 17/4976640], [[[1, 1], [2, 7], [3, 5], [4, 1], [6, 2]], 1/716636160], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 5]], 101/335923200], [[[1, 1], [2, 7], [4, 1], [5, 1], [22, 1]], 1/22809600], [[[1, 1], [2, 7], [4, 1], [6, 1], [10, 3]], 1/19200], [[[1, 1], [2, 7], [4, 1], [6, 1], [14, 2]], 11/169344], [[[1, 1], [2, 7], [4, 1], [6, 1], [18, 2]], 1/165888], [[[1, 1], [2, 7], [4, 1], [6, 2], [22, 1]], 43/1216512], [[[1, 1], [2, 7], [4, 1], [6, 3], [8, 2]], 1/497664], [[[1, 1], [2, 7], [4, 1], [6, 3], [10, 2]], 10217/199065600], [[[1, 1], [2, 7], [4, 1], [6, 3], [12, 2]], 1/3732480], [[[1, 1], [2, 7], [4, 1], [6, 4], [14, 1]], 2117/139345920], [[[1, 1], [2, 7], [4, 1], [6, 4], [18, 1]], 1037/35831808], [[[1, 1], [2, 7], [4, 1], [6, 5], [8, 1]], 35/8957952], [[[1, 1], [2, 7], [4, 1], [6, 5], [10, 1]], 377/59719680], [[[1, 1], [2, 7], [4, 1], [6, 5], [12, 1]], 23621/3224862720], [[[1, 1], [2, 7], [4, 1], [8, 1], [22, 1]], 1/1013760], [[[1, 1], [2, 7], [4, 1], [8, 2], [14, 1]], 1/430080], [[[1, 1], [2, 7], [4, 1], [10, 1], [22, 1]], 7/112640], [[[1, 1], [2, 7], [4, 1], [10, 2], [14, 1]], 157/1075200], [[[1, 1], [2, 7], [4, 1], [10, 2], [18, 1]], 41/2764800], [[[1, 1], [2, 7], [4, 1], [12, 1], [22, 1]], 1/13685760], [[[1, 1], [2, 7], [4, 2], [5, 1], [10, 2]], 1/102400], [[[1, 1], [2, 7], [4, 2], [6, 1], [22, 1]], 13/1520640], [[[1, 1], [2, 7], [4, 2], [6, 2], [8, 2]], 5/1327104], [[[1, 1], [2, 7], [4, 2], [6, 2], [10, 2]], 7/331776], [[[1, 1], [2, 7], [4, 2], [6, 3], [14, 1]], 107/10450944], [[[1, 1], [2, 7], [4, 2], [6, 3], [18, 1]], 53/3732480], [[[1, 1], [2, 7], [4, 2], [6, 4], [8, 1]], 121/59719680], [[[1, 1], [2, 7], [4, 2], [6, 4], [10, 1]], 11/1843200], [[[1, 1], [2, 7], [4, 2], [6, 4], [12, 1]], 1/995328], [[[1, 1], [2, 7], [4, 2], [8, 1], [10, 2]], 1/51200], [[[1, 1], [2, 7], [4, 2], [8, 2], [10, 1]], 1/122880], [[[1, 1], [2, 7], [4, 2], [14, 1], [18, 1]], 1/725760], [[[1, 1], [2, 7], [4, 3], [5, 1], [6, 3]], 1/3732480], [[[1, 1], [2, 7], [4, 3], [5, 1], [14, 1]], 1/3225600], [[[1, 1], [2, 7], [4, 3], [6, 1], [10, 2]], 107/8294400], [[[1, 1], [2, 7], [4, 3], [6, 2], [14, 1]], 359/17418240], [[[1, 1], [2, 7], [4, 3], [6, 2], [18, 1]], 1285/107495424], [[[1, 1], [2, 7], [4, 3], [6, 3], [8, 1]], 961/191102976], [[[1, 1], [2, 7], [4, 3], [6, 3], [10, 1]], 71453/6270566400], [[[1, 1], [2, 7], [4, 3], [6, 3], [12, 1]], 203/179159040], [[[1, 1], [2, 7], [4, 3], [8, 1], [9, 1]], 1/4423680], [[[1, 1], [2, 7], [4, 3], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 7], [4, 3], [8, 1], [18, 1]], 1/2654208], [[[1, 1], [2, 7], [4, 3], [10, 1], [14, 1]], 10301/696729600], [[[1, 1], [2, 7], [4, 3], [10, 1], [18, 1]], 53/87091200], [[[1, 1], [2, 7], [4, 3], [12, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 7], [4, 4], [5, 1], [10, 1]], 1/2949120], [[[1, 1], [2, 7], [4, 4], [6, 1], [14, 1]], 11/6193152], [[[1, 1], [2, 7], [4, 4], [6, 1], [18, 1]], 1/884736], [[[1, 1], [2, 7], [4, 4], [6, 2], [8, 1]], 1/884736], [[[1, 1], [2, 7], [4, 4], [6, 2], [10, 1]], 1/737280], [[[1, 1], [2, 7], [4, 4], [8, 1], [10, 1]], 1/737280], [[[1, 1], [2, 7], [4, 5], [6, 1], [8, 1]], 1/1769472], [[[1, 1], [2, 7], [4, 5], [6, 1], [10, 1]], 1/1658880], [[[1, 1], [2, 7], [5, 1], [6, 2], [10, 2]], 7/172800], [[[1, 1], [2, 7], [5, 1], [6, 4], [10, 1]], 97/29859840], [[[1, 1], [2, 7], [6, 1], [8, 1], [22, 1]], 5/608256], [[[1, 1], [2, 7], [6, 1], [10, 1], [22, 1]], 71/760320], [[[1, 1], [2, 7], [6, 1], [10, 2], [14, 1]], 751/2419200], [[[1, 1], [2, 7], [6, 1], [10, 2], [18, 1]], 73/414720], [[[1, 1], [2, 7], [6, 1], [12, 1], [22, 1]], 1/2027520], [[[1, 1], [2, 7], [6, 2], [8, 1], [10, 2]], 49/1382400], [[[1, 1], [2, 7], [6, 2], [10, 2], [12, 1]], 77/2764800], [[[1, 1], [2, 7], [6, 2], [14, 1], [18, 1]], 131/1451520], [[[1, 1], [2, 7], [6, 3], [8, 1], [14, 1]], 2201/69672960], [[[1, 1], [2, 7], [6, 3], [8, 1], [18, 1]], 97/4478976], [[[1, 1], [2, 7], [6, 3], [10, 1], [14, 1]], 43609/348364800], [[[1, 1], [2, 7], [6, 3], [10, 1], [18, 1]], 149/1119744], [[[1, 1], [2, 7], [6, 3], [12, 1], [14, 1]], 29/1161216], [[[1, 1], [2, 7], [6, 3], [12, 1], [18, 1]], 17/1658880], [[[1, 1], [2, 7], [6, 4], [8, 1], [10, 1]], 349/29859840], [[[1, 1], [2, 7], [6, 4], [8, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 7], [6, 4], [10, 1], [12, 1]], 37/1866240], [[[1, 1], [2, 7], [8, 1], [14, 1], [18, 1]], 1/967680], [[[1, 1], [2, 7], [10, 1], [14, 1], [18, 1]], 43/1612800], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 5]], 1091/1612431360], [[[1, 1], [2, 9], [3, 1], [4, 1], [22, 1]], 1/47900160], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 4]], 6737/4299816960], [[[1, 1], [2, 9], [3, 1], [4, 3], [6, 3]], 13/89579520], [[[1, 1], [2, 9], [3, 1], [4, 3], [14, 1]], 1/7741440], [[[1, 1], [2, 9], [3, 1], [4, 4], [6, 2]], 1/13271040], [[[1, 1], [2, 9], [3, 1], [6, 1], [22, 1]], 13/153280512], [[[1, 1], [2, 9], [3, 1], [6, 2], [10, 2]], 263/8294400], [[[1, 1], [2, 9], [3, 1], [6, 3], [14, 1]], 1613/156764160], [[[1, 1], [2, 9], [3, 1], [6, 3], [18, 1]], 1237/235146240], [[[1, 1], [2, 9], [3, 1], [6, 4], [8, 1]], 121/1058158080], [[[1, 1], [2, 9], [3, 1], [6, 4], [10, 1]], 253769/12541132800], [[[1, 1], [2, 9], [3, 1], [6, 4], [12, 1]], 617/836075520], [[[1, 1], [2, 9], [3, 1], [8, 1], [10, 2]], 151/1741824000], [[[1, 1], [2, 9], [3, 2], [4, 1], [6, 4]], 11/59719680], [[[1, 1], [2, 9], [3, 2], [4, 2], [6, 3]], 19/1114767360], [[[1, 1], [2, 9], [3, 2], [4, 3], [6, 2]], 29/4299816960], [[[1, 1], [2, 9], [3, 2], [6, 1], [10, 2]], 779/4644864000], [[[1, 1], [2, 9], [3, 2], [6, 2], [14, 1]], 83/390168576], [[[1, 1], [2, 9], [3, 2], [6, 2], [18, 1]], 1/55738368], [[[1, 1], [2, 9], [3, 2], [6, 3], [8, 1]], 1/119439360], [[[1, 1], [2, 9], [3, 2], [6, 3], [10, 1]], 37/59719680], [[[1, 1], [2, 9], [3, 3], [4, 1], [6, 3]], 11/358318080], [[[1, 1], [2, 9], [3, 3], [4, 2], [6, 2]], 1/477757440], [[[1, 1], [2, 9], [3, 3], [6, 2], [8, 1]], 1/3762339840], [[[1, 1], [2, 9], [3, 3], [6, 2], [10, 1]], 89/1393459200], [[[1, 1], [2, 9], [4, 1], [5, 1], [6, 4]], 121/881798400], [[[1, 1], [2, 9], [4, 1], [5, 1], [10, 2]], 151/1451520000], [[[1, 1], [2, 9], [4, 1], [6, 1], [22, 1]], 23/9123840], [[[1, 1], [2, 9], [4, 1], [6, 2], [8, 2]], 1/6635520], [[[1, 1], [2, 9], [4, 1], [6, 2], [10, 2]], 1237/33177600], [[[1, 1], [2, 9], [4, 1], [6, 2], [12, 2]], 1/313528320], [[[1, 1], [2, 9], [4, 1], [6, 3], [14, 1]], 389/24385536], [[[1, 1], [2, 9], [4, 1], [6, 3], [18, 1]], 869/89579520], [[[1, 1], [2, 9], [4, 1], [6, 4], [8, 1]], 6829/2508226560], [[[1, 1], [2, 9], [4, 1], [6, 4], [10, 1]], 185/11943936], [[[1, 1], [2, 9], [4, 1], [6, 4], [12, 1]], 22583/16930529280], [[[1, 1], [2, 9], [4, 1], [8, 1], [10, 2]], 18547/2322432000], [[[1, 1], [2, 9], [4, 1], [8, 2], [10, 1]], 1/12902400], [[[1, 1], [2, 9], [4, 1], [10, 2], [12, 1]], 151/870912000], [[[1, 1], [2, 9], [4, 1], [14, 1], [18, 1]], 1/2257920], [[[1, 1], [2, 9], [4, 2], [6, 1], [8, 2]], 31/79626240], [[[1, 1], [2, 9], [4, 2], [6, 1], [10, 2]], 5849/870912000], [[[1, 1], [2, 9], [4, 2], [6, 2], [14, 1]], 283/59719680], [[[1, 1], [2, 9], [4, 2], [6, 2], [18, 1]], 109/46448640], [[[1, 1], [2, 9], [4, 2], [6, 3], [8, 1]], 8849/6688604160], [[[1, 1], [2, 9], [4, 2], [6, 3], [10, 1]], 8921/1672151040], [[[1, 1], [2, 9], [4, 2], [6, 3], [12, 1]], 19/185794560], [[[1, 1], [2, 9], [4, 2], [8, 1], [14, 1]], 73/92897280], [[[1, 1], [2, 9], [4, 2], [8, 1], [18, 1]], 1/92897280], [[[1, 1], [2, 9], [4, 2], [10, 1], [14, 1]], 89/23224320], [[[1, 1], [2, 9], [4, 2], [10, 1], [18, 1]], 1/12902400], [[[1, 1], [2, 9], [4, 3], [5, 1], [6, 2]], 1/49766400], [[[1, 1], [2, 9], [4, 3], [5, 1], [10, 1]], 1/96768000], [[[1, 1], [2, 9], [4, 3], [6, 1], [14, 1]], 433/167215104], [[[1, 1], [2, 9], [4, 3], [6, 1], [18, 1]], 119/119439360], [[[1, 1], [2, 9], [4, 3], [6, 2], [8, 1]], 497/477757440], [[[1, 1], [2, 9], [4, 3], [6, 2], [10, 1]], 11659/2508226560], [[[1, 1], [2, 9], [4, 3], [6, 2], [12, 1]], 53/716636160], [[[1, 1], [2, 9], [4, 3], [8, 1], [10, 1]], 17/14745600], [[[1, 1], [2, 9], [4, 3], [10, 1], [12, 1]], 1/58060800], [[[1, 1], [2, 9], [4, 4], [6, 1], [8, 1]], 1/8847360], [[[1, 1], [2, 9], [4, 4], [6, 1], [10, 1]], 1/3686400], [[[1, 1], [2, 9], [5, 1], [6, 1], [10, 2]], 7/1382400], [[[1, 1], [2, 9], [5, 1], [6, 3], [10, 1]], 15121/8360755200], [[[1, 1], [2, 9], [5, 1], [10, 1], [14, 1]], 1/14515200], [[[1, 1], [2, 9], [5, 1], [10, 1], [18, 1]], 1/116121600], [[[1, 1], [2, 9], [6, 1], [8, 1], [10, 2]], 41/5529600], [[[1, 1], [2, 9], [6, 1], [10, 2], [12, 1]], 779/774144000], [[[1, 1], [2, 9], [6, 1], [14, 1], [18, 1]], 1973/731566080], [[[1, 1], [2, 9], [6, 2], [8, 1], [14, 1]], 23/5806080], [[[1, 1], [2, 9], [6, 2], [8, 1], [18, 1]], 55/31352832], [[[1, 1], [2, 9], [6, 2], [10, 1], [14, 1]], 48967/812851200], [[[1, 1], [2, 9], [6, 2], [10, 1], [18, 1]], 47329/1567641600], [[[1, 1], [2, 9], [6, 2], [12, 1], [14, 1]], 83/65028096], [[[1, 1], [2, 9], [6, 2], [12, 1], [18, 1]], 1/9289728], [[[1, 1], [2, 9], [6, 3], [8, 1], [10, 1]], 12601/2090188800], [[[1, 1], [2, 9], [6, 3], [8, 1], [12, 1]], 1/19906560], [[[1, 1], [2, 9], [6, 3], [10, 1], [12, 1]], 37/9953280], [[[1, 1], [2, 9], [8, 1], [10, 1], [14, 1]], 641/203212800], [[[1, 1], [2, 9], [8, 1], [10, 1], [18, 1]], 1/29030400], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 4]], 14969/135444234240], [[[1, 1], [2, 11], [3, 1], [4, 1], [10, 2]], 1/15552000], [[[1, 1], [2, 11], [3, 1], [4, 2], [6, 3]], 37/278691840], [[[1, 1], [2, 11], [3, 1], [4, 3], [6, 2]], 11/1254113280], [[[1, 1], [2, 11], [3, 1], [4, 3], [10, 1]], 1/232243200], [[[1, 1], [2, 11], [3, 1], [4, 4], [6, 1]], 1/637009920], [[[1, 1], [2, 11], [3, 1], [6, 1], [10, 2]], 3613/6967296000], [[[1, 1], [2, 11], [3, 1], [6, 2], [14, 1]], 3421/8778792960], [[[1, 1], [2, 11], [3, 1], [6, 2], [18, 1]], 43/1254113280], [[[1, 1], [2, 11], [3, 1], [6, 3], [8, 1]], 119681/14898865766400], [[[1, 1], [2, 11], [3, 1], [6, 3], [10, 1]], 2869/1254113280], [[[1, 1], [2, 11], [3, 1], [6, 3], [12, 1]], 1/78382080], [[[1, 1], [2, 11], [3, 1], [8, 1], [14, 1]], 1/2090188800], [[[1, 1], [2, 11], [3, 1], [8, 1], [18, 1]], 1/206928691200], [[[1, 1], [2, 11], [3, 2], [4, 1], [6, 3]], 17/2006581248], [[[1, 1], [2, 11], [3, 2], [4, 2], [6, 2]], 1/2786918400], [[[1, 1], [2, 11], [3, 2], [4, 3], [6, 1]], 743/13243436236800], [[[1, 1], [2, 11], [3, 2], [6, 1], [14, 1]], 43/29262643200], [[[1, 1], [2, 11], [3, 2], [6, 2], [8, 1]], 1/10032906240], [[[1, 1], [2, 11], [3, 2], [6, 2], [10, 1]], 211/12541132800], [[[1, 1], [2, 11], [3, 3], [4, 1], [6, 2]], 1/15049359360], [[[1, 1], [2, 11], [3, 3], [6, 1], [8, 1]], 1/1655429529600], [[[1, 1], [2, 11], [4, 1], [5, 1], [6, 3]], 119681/12415721472000], [[[1, 1], [2, 11], [4, 1], [5, 1], [14, 1]], 1/1741824000], [[[1, 1], [2, 11], [4, 1], [5, 1], [18, 1]], 1/172440576000], [[[1, 1], [2, 11], [4, 1], [6, 1], [8, 2]], 1/557383680], [[[1, 1], [2, 11], [4, 1], [6, 1], [10, 2]], 1/248832], [[[1, 1], [2, 11], [4, 1], [6, 1], [12, 2]], 1/137952460800], [[[1, 1], [2, 11], [4, 1], [6, 2], [14, 1]], 197/121927680], [[[1, 1], [2, 11], [4, 1], [6, 2], [18, 1]], 1957/3344302080], [[[1, 1], [2, 11], [4, 1], [6, 3], [8, 1]], 70997/171992678400], [[[1, 1], [2, 11], [4, 1], [6, 3], [10, 1]], 12377/3135283200], [[[1, 1], [2, 11], [4, 1], [6, 3], [12, 1]], 124589/1862358220800], [[[1, 1], [2, 11], [4, 1], [8, 1], [14, 1]], 11/464486400], [[[1, 1], [2, 11], [4, 1], [8, 1], [18, 1]], 19/16721510400], [[[1, 1], [2, 11], [4, 1], [10, 1], [14, 1]], 38053/39016857600], [[[1, 1], [2, 11], [4, 1], [10, 1], [18, 1]], 1/43545600], [[[1, 1], [2, 11], [4, 1], [12, 1], [14, 1]], 1/1045094400], [[[1, 1], [2, 11], [4, 1], [12, 1], [18, 1]], 1/103464345600], [[[1, 1], [2, 11], [4, 2], [5, 1], [10, 1]], 1/696729600], [[[1, 1], [2, 11], [4, 2], [6, 1], [14, 1]], 1879/7315660800], [[[1, 1], [2, 11], [4, 2], [6, 1], [18, 1]], 1/37324800], [[[1, 1], [2, 11], [4, 2], [6, 2], [8, 1]], 29/278691840], [[[1, 1], [2, 11], [4, 2], [6, 2], [10, 1]], 83/104509440], [[[1, 1], [2, 11], [4, 2], [6, 2], [12, 1]], 1/464486400], [[[1, 1], [2, 11], [4, 2], [8, 1], [10, 1]], 53/1393459200], [[[1, 1], [2, 11], [4, 3], [5, 1], [6, 1]], 1/4180377600], [[[1, 1], [2, 11], [4, 3], [6, 1], [8, 1]], 31/668860416], [[[1, 1], [2, 11], [4, 3], [6, 1], [10, 1]], 2609/7166361600], [[[1, 1], [2, 11], [4, 3], [6, 1], [12, 1]], 541/735746457600], [[[1, 1], [2, 11], [5, 1], [6, 2], [10, 1]], 451/4180377600], [[[1, 1], [2, 11], [6, 1], [8, 1], [14, 1]], 121/975421440], [[[1, 1], [2, 11], [6, 1], [8, 1], [18, 1]], 1/139345920], [[[1, 1], [2, 11], [6, 1], [10, 1], [14, 1]], 313/87091200], [[[1, 1], [2, 11], [6, 1], [10, 1], [18, 1]], 47/104509440], [[[1, 1], [2, 11], [6, 1], [12, 1], [14, 1]], 43/4877107200], [[[1, 1], [2, 11], [6, 2], [8, 1], [10, 1]], 989/2090188800], [[[1, 1], [2, 11], [6, 2], [8, 1], [12, 1]], 1/1672151040], [[[1, 1], [2, 11], [6, 2], [10, 1], [12, 1]], 211/2090188800], [[[1, 1], [2, 13], [3, 1], [4, 1], [6, 3]], 325601/59595463065600], [[[1, 1], [2, 13], [3, 1], [4, 1], [14, 1]], 23/80472268800], [[[1, 1], [2, 13], [3, 1], [4, 1], [18, 1]], 1/827714764800], [[[1, 1], [2, 13], [3, 1], [4, 2], [6, 2]], 137/55180984320], [[[1, 1], [2, 13], [3, 1], [4, 2], [8, 1]], 1/315319910400], [[[1, 1], [2, 13], [3, 1], [4, 3], [6, 1]], 37/367873228800], [[[1, 1], [2, 13], [3, 1], [6, 1], [14, 1]], 557/386266890240], [[[1, 1], [2, 13], [3, 1], [6, 1], [18, 1]], 41/827714764800], [[[1, 1], [2, 13], [3, 1], [6, 2], [8, 1]], 149/1241572147200], [[[1, 1], [2, 13], [3, 1], [6, 2], [10, 1]], 79/1791590400], [[[1, 1], [2, 13], [3, 1], [6, 2], [12, 1]], 41/1103619686400], [[[1, 1], [2, 13], [3, 1], [8, 1], [10, 1]], 1/49268736000], [[[1, 1], [2, 13], [3, 2], [4, 1], [6, 2]], 1/11036196864], [[[1, 1], [2, 13], [3, 2], [4, 2], [6, 1]], 1/735746457600], [[[1, 1], [2, 13], [3, 2], [6, 1], [8, 1]], 1/4414478745600], [[[1, 1], [2, 13], [3, 2], [6, 1], [10, 1]], 433/5518098432000], [[[1, 1], [2, 13], [3, 3], [4, 1], [6, 1]], 1/6621718118400], [[[1, 1], [2, 13], [4, 1], [5, 1], [6, 2]], 149/1034643456000], [[[1, 1], [2, 13], [4, 1], [5, 1], [10, 1]], 1/41057280000], [[[1, 1], [2, 13], [4, 1], [6, 1], [14, 1]], 3209/78033715200], [[[1, 1], [2, 13], [4, 1], [6, 1], [18, 1]], 589/220723937280], [[[1, 1], [2, 13], [4, 1], [6, 2], [8, 1]], 35059/2207239372800], [[[1, 1], [2, 13], [4, 1], [6, 2], [10, 1]], 8213/33443020800], [[[1, 1], [2, 13], [4, 1], [6, 2], [12, 1]], 139/177367449600], [[[1, 1], [2, 13], [4, 1], [8, 1], [10, 1]], 1817/613122048000], [[[1, 1], [2, 13], [4, 1], [10, 1], [12, 1]], 1/24634368000], [[[1, 1], [2, 13], [4, 2], [6, 1], [8, 1]], 37/29429858304], [[[1, 1], [2, 13], [4, 2], [6, 1], [10, 1]], 809/38320128000], [[[1, 1], [2, 13], [4, 2], [6, 1], [12, 1]], 1/122624409600], [[[1, 1], [2, 13], [5, 1], [6, 1], [10, 1]], 13/16721510400], [[[1, 1], [2, 13], [6, 1], [8, 1], [10, 1]], 1/149299200], [[[1, 1], [2, 13], [6, 1], [8, 1], [12, 1]], 1/735746457600], [[[1, 1], [2, 13], [6, 1], [10, 1], [12, 1]], 433/919683072000], [[[1, 1], [2, 15], [3, 1], [4, 1], [6, 2]], 739/9932577177600], [[[1, 1], [2, 15], [3, 1], [4, 1], [10, 1]], 239/19313344512000], [[[1, 1], [2, 15], [3, 1], [4, 2], [6, 1]], 29/3783838924800], [[[1, 1], [2, 15], [3, 1], [6, 1], [8, 1]], 17/29797731532800], [[[1, 1], [2, 15], [3, 1], [6, 1], [10, 1]], 10861/77253378048000], [[[1, 1], [2, 15], [3, 2], [4, 1], [6, 1]], 1/4577977958400], [[[1, 1], [2, 15], [4, 1], [5, 1], [6, 1]], 17/24831442944000], [[[1, 1], [2, 15], [4, 1], [6, 1], [8, 1]], 499/4414478745600], [[[1, 1], [2, 15], [4, 1], [6, 1], [10, 1]], 2251/735746457600], [[[1, 1], [2, 15], [4, 1], [6, 1], [12, 1]], 4091/1668672965836800], [[[1, 1], [2, 17], [3, 1], [4, 1], [6, 1]], 281/834336482918400], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 6]], 1/53747712], [[[1, 2], [2, 2], [3, 1], [4, 3], [9, 2]], 1/124416], [[[1, 2], [2, 2], [3, 1], [4, 4], [22, 1]], 1/101376], [[[1, 2], [2, 2], [3, 1], [6, 3], [18, 2]], 1/17496], [[[1, 2], [2, 2], [3, 1], [6, 4], [11, 1]], 1/114048], [[[1, 2], [2, 2], [3, 1], [6, 4], [22, 1]], 1/513216], [[[1, 2], [2, 2], [3, 1], [6, 6], [18, 1]], 1/1259712], [[[1, 2], [2, 2], [3, 1], [8, 2], [22, 1]], 1/4224], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 6]], 1/8957952], [[[1, 2], [2, 2], [3, 2], [4, 2], [9, 2]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 3], [11, 1]], 1/304128], [[[1, 2], [2, 2], [3, 2], [5, 1], [9, 2]], 1/19440], [[[1, 2], [2, 2], [3, 2], [6, 2], [9, 2]], 1/34992], [[[1, 2], [2, 2], [3, 2], [6, 2], [18, 2]], 1/34992], [[[1, 2], [2, 2], [3, 2], [6, 3], [11, 1]], 1/57024], [[[1, 2], [2, 2], [3, 2], [6, 3], [22, 1]], 1/1026432], [[[1, 2], [2, 2], [3, 2], [6, 5], [14, 1]], 1/653184], [[[1, 2], [2, 2], [3, 2], [6, 5], [18, 1]], 1/2519424], [[[1, 2], [2, 2], [3, 2], [6, 6], [8, 1]], 1/3359232], [[[1, 2], [2, 2], [3, 2], [8, 1], [9, 2]], 1/15552], [[[1, 2], [2, 2], [3, 2], [9, 2], [10, 1]], 1/9720], [[[1, 2], [2, 2], [3, 2], [18, 1], [22, 1]], 1/14256], [[[1, 2], [2, 2], [3, 3], [4, 2], [11, 1]], 1/405504], [[[1, 2], [2, 2], [3, 3], [4, 3], [5, 2]], 1/49766400], [[[1, 2], [2, 2], [3, 3], [4, 3], [6, 4]], 1/5971968], [[[1, 2], [2, 2], [3, 3], [4, 3], [8, 2]], 1/1327104], [[[1, 2], [2, 2], [3, 3], [4, 4], [7, 1]], 1/13934592], [[[1, 2], [2, 2], [3, 3], [5, 1], [11, 1]], 1/570240], [[[1, 2], [2, 2], [3, 3], [5, 2], [7, 1]], 1/1814400], [[[1, 2], [2, 2], [3, 3], [6, 1], [9, 2]], 1/17496], [[[1, 2], [2, 2], [3, 3], [6, 2], [11, 1]], 1/1026432], [[[1, 2], [2, 2], [3, 3], [6, 2], [22, 1]], 1/57024], [[[1, 2], [2, 2], [3, 3], [6, 4], [7, 1]], 1/72576], [[[1, 2], [2, 2], [3, 3], [6, 4], [9, 1]], 1/279936], [[[1, 2], [2, 2], [3, 3], [6, 4], [18, 1]], 1/139968], [[[1, 2], [2, 2], [3, 3], [8, 1], [11, 1]], 1/456192], [[[1, 2], [2, 2], [3, 3], [10, 1], [11, 1]], 1/285120], [[[1, 2], [2, 2], [3, 4], [4, 2], [6, 4]], 1/497664], [[[1, 2], [2, 2], [3, 4], [4, 3], [6, 3]], 1/5971968], [[[1, 2], [2, 2], [3, 4], [4, 3], [7, 1]], 1/20901888], [[[1, 2], [2, 2], [3, 4], [4, 3], [9, 1]], 13/8957952], [[[1, 2], [2, 2], [3, 4], [4, 4], [5, 1]], 1/29859840], [[[1, 2], [2, 2], [3, 4], [4, 4], [8, 1]], 1/2985984], [[[1, 2], [2, 2], [3, 4], [6, 1], [11, 1]], 1/513216], [[[1, 2], [2, 2], [3, 4], [6, 1], [22, 1]], 1/114048], [[[1, 2], [2, 2], [3, 4], [6, 3], [9, 1]], 1/139968], [[[1, 2], [2, 2], [3, 4], [6, 3], [14, 1]], 1/72576], [[[1, 2], [2, 2], [3, 4], [6, 3], [18, 1]], 1/279936], [[[1, 2], [2, 2], [3, 4], [6, 4], [8, 1]], 1/186624], [[[1, 2], [2, 2], [3, 5], [4, 2], [9, 1]], 1/995328], [[[1, 2], [2, 2], [3, 5], [5, 1], [9, 1]], 1/1399680], [[[1, 2], [2, 2], [3, 5], [6, 2], [7, 1]], 1/653184], [[[1, 2], [2, 2], [3, 5], [6, 2], [9, 1]], 1/2519424], [[[1, 2], [2, 2], [3, 5], [8, 1], [9, 1]], 1/1119744], [[[1, 2], [2, 2], [3, 5], [9, 1], [10, 1]], 1/699840], [[[1, 2], [2, 2], [3, 6], [4, 2], [6, 2]], 1/8957952], [[[1, 2], [2, 2], [3, 6], [4, 3], [6, 1]], 1/53747712], [[[1, 2], [2, 2], [3, 6], [6, 1], [9, 1]], 1/1259712], [[[1, 2], [2, 2], [3, 6], [6, 2], [8, 1]], 1/3359232], [[[1, 2], [2, 2], [4, 2], [6, 2], [18, 2]], 1/13824], [[[1, 2], [2, 2], [4, 2], [6, 3], [22, 1]], 1/405504], [[[1, 2], [2, 2], [4, 2], [6, 5], [18, 1]], 1/995328], [[[1, 2], [2, 2], [4, 2], [9, 1], [11, 1]], 1/5632], [[[1, 2], [2, 2], [4, 2], [18, 1], [22, 1]], 1/5632], [[[1, 2], [2, 2], [4, 3], [5, 1], [11, 1]], 1/84480], [[[1, 2], [2, 2], [4, 3], [5, 2], [7, 1]], 1/268800], [[[1, 2], [2, 2], [4, 3], [5, 2], [9, 1]], 1/691200], [[[1, 2], [2, 2], [4, 3], [6, 1], [18, 2]], 1/124416], [[[1, 2], [2, 2], [4, 3], [6, 2], [22, 1]], 1/304128], [[[1, 2], [2, 2], [4, 3], [6, 3], [8, 2]], 1/1327104], [[[1, 2], [2, 2], [4, 3], [6, 3], [10, 2]], 1/49766400], [[[1, 2], [2, 2], [4, 3], [6, 4], [14, 1]], 1/20901888], [[[1, 2], [2, 2], [4, 3], [6, 4], [18, 1]], 13/8957952], [[[1, 2], [2, 2], [4, 3], [8, 1], [11, 1]], 1/67584], [[[1, 2], [2, 2], [4, 3], [8, 1], [22, 1]], 1/67584], [[[1, 2], [2, 2], [4, 3], [8, 2], [9, 1]], 1/18432], [[[1, 2], [2, 2], [4, 3], [8, 2], [18, 1]], 1/18432], [[[1, 2], [2, 2], [4, 3], [10, 1], [22, 1]], 1/84480], [[[1, 2], [2, 2], [4, 3], [10, 2], [14, 1]], 1/268800], [[[1, 2], [2, 2], [4, 3], [10, 2], [18, 1]], 1/691200], [[[1, 2], [2, 2], [4, 4], [6, 1], [11, 1]], 1/101376], [[[1, 2], [2, 2], [4, 4], [6, 3], [14, 1]], 1/13934592], [[[1, 2], [2, 2], [4, 4], [6, 4], [8, 1]], 1/2985984], [[[1, 2], [2, 2], [4, 4], [6, 4], [10, 1]], 1/29859840], [[[1, 2], [2, 2], [4, 4], [7, 1], [9, 1]], 1/193536], [[[1, 2], [2, 2], [4, 4], [14, 1], [18, 1]], 1/193536], [[[1, 2], [2, 2], [5, 1], [6, 2], [18, 2]], 1/9720], [[[1, 2], [2, 2], [5, 1], [6, 3], [22, 1]], 1/285120], [[[1, 2], [2, 2], [5, 1], [6, 5], [18, 1]], 1/699840], [[[1, 2], [2, 2], [5, 1], [9, 1], [11, 1]], 1/7920], [[[1, 2], [2, 2], [5, 1], [18, 1], [22, 1]], 1/3960], [[[1, 2], [2, 2], [5, 2], [7, 1], [9, 1]], 1/25200], [[[1, 2], [2, 2], [6, 1], [8, 2], [11, 1]], 1/4224], [[[1, 2], [2, 2], [6, 2], [8, 1], [18, 2]], 1/15552], [[[1, 2], [2, 2], [6, 2], [9, 1], [11, 1]], 1/14256], [[[1, 2], [2, 2], [6, 2], [10, 1], [18, 2]], 1/19440], [[[1, 2], [2, 2], [6, 3], [8, 1], [22, 1]], 1/456192], [[[1, 2], [2, 2], [6, 3], [10, 1], [22, 1]], 1/570240], [[[1, 2], [2, 2], [6, 3], [10, 2], [14, 1]], 1/1814400], [[[1, 2], [2, 2], [6, 5], [8, 1], [18, 1]], 1/1119744], [[[1, 2], [2, 2], [6, 5], [10, 1], [18, 1]], 1/1399680], [[[1, 2], [2, 2], [8, 1], [9, 1], [11, 1]], 1/6336], [[[1, 2], [2, 2], [8, 1], [18, 1], [22, 1]], 1/6336], [[[1, 2], [2, 2], [9, 1], [10, 1], [11, 1]], 1/3960], [[[1, 2], [2, 2], [10, 1], [18, 1], [22, 1]], 1/7920], [[[1, 2], [2, 2], [10, 2], [14, 1], [18, 1]], 1/25200], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 7]], 55/120932352], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 6]], 91/53747712], [[[1, 2], [2, 4], [3, 1], [4, 2], [14, 2]], 1/4704], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 5]], 19/53747712], [[[1, 2], [2, 4], [3, 1], [4, 3], [22, 1]], 1/25344], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 4]], 1/17915904], [[[1, 2], [2, 4], [3, 1], [4, 4], [10, 2]], 1/921600], [[[1, 2], [2, 4], [3, 1], [4, 4], [12, 2]], 1/110592], [[[1, 2], [2, 4], [3, 1], [4, 5], [6, 3]], 1/7962624], [[[1, 2], [2, 4], [3, 1], [4, 6], [6, 2]], 1/21233664], [[[1, 2], [2, 4], [3, 1], [4, 6], [12, 1]], 1/3538944], [[[1, 2], [2, 4], [3, 1], [6, 2], [14, 2]], 1/5292], [[[1, 2], [2, 4], [3, 1], [6, 2], [18, 2]], 41/139968], [[[1, 2], [2, 4], [3, 1], [6, 3], [11, 1]], 1/50688], [[[1, 2], [2, 4], [3, 1], [6, 3], [22, 1]], 553/4105728], [[[1, 2], [2, 4], [3, 1], [6, 4], [8, 2]], 1/746496], [[[1, 2], [2, 4], [3, 1], [6, 4], [10, 2]], 1/466560], [[[1, 2], [2, 4], [3, 1], [6, 5], [14, 1]], 1/40824], [[[1, 2], [2, 4], [3, 1], [6, 5], [18, 1]], 601/10077696], [[[1, 2], [2, 4], [3, 1], [6, 6], [8, 1]], 41/80621568], [[[1, 2], [2, 4], [3, 1], [6, 6], [10, 1]], 1/1679616], [[[1, 2], [2, 4], [3, 1], [6, 6], [12, 1]], 1/1679616], [[[1, 2], [2, 4], [3, 1], [8, 1], [9, 2]], 1/62208], [[[1, 2], [2, 4], [3, 1], [8, 1], [10, 3]], 1/24000], [[[1, 2], [2, 4], [3, 1], [8, 2], [10, 2]], 1/38400], [[[1, 2], [2, 4], [3, 1], [9, 1], [11, 1]], 1/228096], [[[1, 2], [2, 4], [3, 1], [10, 1], [14, 2]], 1/17640], [[[1, 2], [2, 4], [3, 1], [14, 1], [22, 1]], 1/5544], [[[1, 2], [2, 4], [3, 1], [18, 1], [22, 1]], 1/57024], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 6]], 1/13436928], [[[1, 2], [2, 4], [3, 2], [4, 1], [9, 2]], 1/186624], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 5]], 173/35831808], [[[1, 2], [2, 4], [3, 2], [4, 2], [22, 1]], 7/152064], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 4]], 41/8957952], [[[1, 2], [2, 4], [3, 2], [4, 4], [6, 3]], 7/1990656], [[[1, 2], [2, 4], [3, 2], [4, 4], [9, 1]], 1/1990656], [[[1, 2], [2, 4], [3, 2], [4, 5], [8, 1]], 1/884736], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 5]], 1/5598720], [[[1, 2], [2, 4], [3, 2], [6, 1], [9, 2]], 1/139968], [[[1, 2], [2, 4], [3, 2], [6, 1], [10, 3]], 1/192000], [[[1, 2], [2, 4], [3, 2], [6, 1], [14, 2]], 1/56448], [[[1, 2], [2, 4], [3, 2], [6, 1], [18, 2]], 1/69984], [[[1, 2], [2, 4], [3, 2], [6, 2], [11, 1]], 65/1824768], [[[1, 2], [2, 4], [3, 2], [6, 2], [22, 1]], 907/2737152], [[[1, 2], [2, 4], [3, 2], [6, 3], [8, 2]], 1/27648], [[[1, 2], [2, 4], [3, 2], [6, 3], [10, 2]], 19/9331200], [[[1, 2], [2, 4], [3, 2], [6, 4], [9, 1]], 1/93312], [[[1, 2], [2, 4], [3, 2], [6, 4], [14, 1]], 253/3919104], [[[1, 2], [2, 4], [3, 2], [6, 4], [18, 1]], 1271/6718464], [[[1, 2], [2, 4], [3, 2], [6, 5], [8, 1]], 83/26873856], [[[1, 2], [2, 4], [3, 2], [6, 5], [10, 1]], 11/4199040], [[[1, 2], [2, 4], [3, 2], [6, 5], [12, 1]], 17/419904], [[[1, 2], [2, 4], [3, 2], [8, 1], [11, 1]], 1/152064], [[[1, 2], [2, 4], [3, 2], [8, 2], [9, 1]], 1/82944], [[[1, 2], [2, 4], [3, 2], [10, 1], [22, 1]], 1/15840], [[[1, 2], [2, 4], [3, 2], [10, 2], [14, 1]], 1/50400], [[[1, 2], [2, 4], [3, 2], [10, 2], [18, 1]], 1/129600], [[[1, 2], [2, 4], [3, 2], [11, 1], [12, 1]], 1/304128], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 5]], 41/6718464], [[[1, 2], [2, 4], [3, 3], [4, 1], [11, 1]], 1/5474304], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 4]], 47/7962624], [[[1, 2], [2, 4], [3, 3], [4, 2], [8, 2]], 1/1327104], [[[1, 2], [2, 4], [3, 3], [4, 3], [6, 3]], 19/5971968], [[[1, 2], [2, 4], [3, 3], [4, 4], [8, 1]], 7/7962624], [[[1, 2], [2, 4], [3, 3], [4, 4], [10, 1]], 1/9953280], [[[1, 2], [2, 4], [3, 3], [4, 4], [12, 1]], 1/5971968], [[[1, 2], [2, 4], [3, 3], [5, 1], [6, 4]], 1/414720], [[[1, 2], [2, 4], [3, 3], [5, 1], [10, 2]], 1/518400], [[[1, 2], [2, 4], [3, 3], [5, 2], [8, 1]], 1/24883200], [[[1, 2], [2, 4], [3, 3], [5, 2], [10, 1]], 1/1036800], [[[1, 2], [2, 4], [3, 3], [6, 1], [11, 1]], 1/4105728], [[[1, 2], [2, 4], [3, 3], [6, 1], [22, 1]], 1/456192], [[[1, 2], [2, 4], [3, 3], [6, 2], [10, 2]], 1/51840], [[[1, 2], [2, 4], [3, 3], [6, 3], [7, 1]], 1/36288], [[[1, 2], [2, 4], [3, 3], [6, 3], [9, 1]], 11/373248], [[[1, 2], [2, 4], [3, 3], [6, 3], [14, 1]], 5/108864], [[[1, 2], [2, 4], [3, 3], [6, 3], [18, 1]], 41/1119744], [[[1, 2], [2, 4], [3, 3], [6, 4], [8, 1]], 65/2239488], [[[1, 2], [2, 4], [3, 3], [6, 4], [10, 1]], 19/1866240], [[[1, 2], [2, 4], [3, 3], [6, 4], [12, 1]], 1/124416], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 4]], 1/746496], [[[1, 2], [2, 4], [3, 4], [4, 1], [8, 2]], 1/5971968], [[[1, 2], [2, 4], [3, 4], [4, 2], [6, 3]], 17/7962624], [[[1, 2], [2, 4], [3, 4], [4, 3], [6, 2]], 5/5971968], [[[1, 2], [2, 4], [3, 4], [4, 4], [6, 1]], 1/23887872], [[[1, 2], [2, 4], [3, 4], [5, 1], [7, 1]], 1/52254720], [[[1, 2], [2, 4], [3, 4], [6, 1], [10, 2]], 1/1036800], [[[1, 2], [2, 4], [3, 4], [6, 2], [9, 1]], 65/4478976], [[[1, 2], [2, 4], [3, 4], [6, 2], [14, 1]], 1/435456], [[[1, 2], [2, 4], [3, 4], [6, 2], [18, 1]], 1/559872], [[[1, 2], [2, 4], [3, 4], [6, 3], [8, 1]], 49/2985984], [[[1, 2], [2, 4], [3, 4], [6, 3], [10, 1]], 17/746496], [[[1, 2], [2, 4], [3, 4], [6, 3], [12, 1]], 1/62208], [[[1, 2], [2, 4], [3, 4], [7, 1], [8, 1]], 1/10450944], [[[1, 2], [2, 4], [3, 4], [8, 1], [9, 1]], 13/4478976], [[[1, 2], [2, 4], [3, 4], [9, 1], [12, 1]], 1/746496], [[[1, 2], [2, 4], [3, 5], [4, 1], [6, 3]], 1/4478976], [[[1, 2], [2, 4], [3, 5], [4, 1], [9, 1]], 1/13436928], [[[1, 2], [2, 4], [3, 5], [4, 2], [6, 2]], 1/2654208], [[[1, 2], [2, 4], [3, 5], [5, 1], [6, 2]], 1/3732480], [[[1, 2], [2, 4], [3, 5], [6, 1], [9, 1]], 1/10077696], [[[1, 2], [2, 4], [3, 5], [6, 2], [8, 1]], 1/2985984], [[[1, 2], [2, 4], [3, 5], [6, 2], [10, 1]], 1/1866240], [[[1, 2], [2, 4], [3, 6], [4, 1], [6, 2]], 1/13436928], [[[1, 2], [2, 4], [3, 6], [6, 1], [8, 1]], 1/26873856], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 6]], 1/2099520], [[[1, 2], [2, 4], [4, 1], [5, 1], [10, 3]], 1/20000], [[[1, 2], [2, 4], [4, 1], [5, 2], [10, 2]], 1/4000], [[[1, 2], [2, 4], [4, 1], [6, 2], [14, 2]], 1/14112], [[[1, 2], [2, 4], [4, 1], [6, 2], [18, 2]], 17/62208], [[[1, 2], [2, 4], [4, 1], [6, 3], [22, 1]], 149/1824768], [[[1, 2], [2, 4], [4, 1], [6, 4], [8, 2]], 1/1990656], [[[1, 2], [2, 4], [4, 1], [6, 4], [10, 2]], 7/6220800], [[[1, 2], [2, 4], [4, 1], [6, 4], [12, 2]], 1/93312], [[[1, 2], [2, 4], [4, 1], [6, 5], [14, 1]], 5/2612736], [[[1, 2], [2, 4], [4, 1], [6, 5], [18, 1]], 161/4478976], [[[1, 2], [2, 4], [4, 1], [6, 6], [12, 1]], 1/1259712], [[[1, 2], [2, 4], [4, 1], [8, 1], [10, 3]], 1/64000], [[[1, 2], [2, 4], [4, 1], [8, 1], [14, 2]], 1/3136], [[[1, 2], [2, 4], [4, 1], [8, 2], [10, 2]], 1/51200], [[[1, 2], [2, 4], [4, 1], [9, 1], [11, 1]], 1/76032], [[[1, 2], [2, 4], [4, 1], [10, 1], [14, 2]], 3/7840], [[[1, 2], [2, 4], [4, 1], [10, 3], [12, 1]], 1/12000], [[[1, 2], [2, 4], [4, 1], [14, 1], [22, 1]], 1/2464], [[[1, 2], [2, 4], [4, 1], [18, 1], [22, 1]], 5/25344], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 5]], 1/3732480], [[[1, 2], [2, 4], [4, 2], [5, 1], [22, 1]], 1/10560], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 3]], 1/6144], [[[1, 2], [2, 4], [4, 2], [6, 1], [10, 3]], 1/192000], [[[1, 2], [2, 4], [4, 2], [6, 1], [18, 2]], 5/82944], [[[1, 2], [2, 4], [4, 2], [6, 2], [11, 1]], 1/25344], [[[1, 2], [2, 4], [4, 2], [6, 2], [22, 1]], 1/22528], [[[1, 2], [2, 4], [4, 2], [6, 3], [8, 2]], 25/1327104], [[[1, 2], [2, 4], [4, 2], [6, 3], [10, 2]], 59/33177600], [[[1, 2], [2, 4], [4, 2], [6, 3], [12, 2]], 1/41472], [[[1, 2], [2, 4], [4, 2], [6, 4], [14, 1]], 101/13934592], [[[1, 2], [2, 4], [4, 2], [6, 4], [18, 1]], 167/5971968], [[[1, 2], [2, 4], [4, 2], [6, 5], [8, 1]], 5/1990656], [[[1, 2], [2, 4], [4, 2], [6, 5], [10, 1]], 7/5971968], [[[1, 2], [2, 4], [4, 2], [6, 5], [12, 1]], 43/35831808], [[[1, 2], [2, 4], [4, 2], [8, 1], [22, 1]], 5/33792], [[[1, 2], [2, 4], [4, 2], [8, 2], [9, 1]], 1/18432], [[[1, 2], [2, 4], [4, 2], [8, 2], [14, 1]], 1/14336], [[[1, 2], [2, 4], [4, 2], [8, 2], [18, 1]], 1/18432], [[[1, 2], [2, 4], [4, 2], [10, 1], [11, 1]], 1/42240], [[[1, 2], [2, 4], [4, 2], [10, 1], [22, 1]], 7/33792], [[[1, 2], [2, 4], [4, 2], [10, 2], [14, 1]], 1/15360], [[[1, 2], [2, 4], [4, 2], [10, 2], [18, 1]], 11/460800], [[[1, 2], [2, 4], [4, 2], [11, 1], [12, 1]], 1/25344], [[[1, 2], [2, 4], [4, 2], [12, 1], [22, 1]], 1/8448], [[[1, 2], [2, 4], [4, 3], [5, 1], [10, 2]], 7/768000], [[[1, 2], [2, 4], [4, 3], [5, 2], [10, 1]], 1/51200], [[[1, 2], [2, 4], [4, 3], [6, 1], [22, 1]], 5/152064], [[[1, 2], [2, 4], [4, 3], [6, 2], [8, 2]], 19/221184], [[[1, 2], [2, 4], [4, 3], [6, 2], [10, 2]], 11/1036800], [[[1, 2], [2, 4], [4, 3], [6, 3], [14, 1]], 137/20901888], [[[1, 2], [2, 4], [4, 3], [6, 3], [18, 1]], 43/2239488], [[[1, 2], [2, 4], [4, 3], [6, 4], [8, 1]], 41/5971968], [[[1, 2], [2, 4], [4, 3], [6, 4], [10, 1]], 1/311040], [[[1, 2], [2, 4], [4, 3], [6, 4], [12, 1]], 5/1492992], [[[1, 2], [2, 4], [4, 3], [8, 1], [10, 2]], 1/614400], [[[1, 2], [2, 4], [4, 3], [8, 2], [10, 1]], 3/20480], [[[1, 2], [2, 4], [4, 3], [8, 2], [12, 1]], 1/6144], [[[1, 2], [2, 4], [4, 3], [10, 2], [12, 1]], 1/230400], [[[1, 2], [2, 4], [4, 3], [14, 1], [18, 1]], 5/290304], [[[1, 2], [2, 4], [4, 4], [5, 1], [7, 1]], 1/2580480], [[[1, 2], [2, 4], [4, 4], [5, 1], [14, 1]], 1/107520], [[[1, 2], [2, 4], [4, 4], [6, 1], [10, 2]], 1/460800], [[[1, 2], [2, 4], [4, 4], [6, 2], [14, 1]], 1/2322432], [[[1, 2], [2, 4], [4, 4], [6, 2], [18, 1]], 61/3981312], [[[1, 2], [2, 4], [4, 4], [6, 3], [8, 1]], 49/23887872], [[[1, 2], [2, 4], [4, 4], [6, 3], [10, 1]], 13/59719680], [[[1, 2], [2, 4], [4, 4], [6, 3], [12, 1]], 7/1327104], [[[1, 2], [2, 4], [4, 4], [8, 1], [9, 1]], 7/110592], [[[1, 2], [2, 4], [4, 4], [8, 1], [14, 1]], 1/43008], [[[1, 2], [2, 4], [4, 4], [8, 1], [18, 1]], 1/331776], [[[1, 2], [2, 4], [4, 4], [9, 1], [10, 1]], 1/138240], [[[1, 2], [2, 4], [4, 4], [9, 1], [12, 1]], 1/82944], [[[1, 2], [2, 4], [4, 4], [10, 1], [14, 1]], 19/1720320], [[[1, 2], [2, 4], [4, 4], [10, 1], [18, 1]], 1/829440], [[[1, 2], [2, 4], [4, 4], [12, 1], [14, 1]], 1/64512], [[[1, 2], [2, 4], [4, 5], [5, 1], [8, 1]], 1/245760], [[[1, 2], [2, 4], [4, 5], [5, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 4], [4, 5], [6, 1], [14, 1]], 1/3096576], [[[1, 2], [2, 4], [4, 5], [6, 1], [18, 1]], 1/1327104], [[[1, 2], [2, 4], [4, 6], [6, 1], [8, 1]], 5/884736], [[[1, 2], [2, 4], [4, 6], [6, 1], [10, 1]], 1/4423680], [[[1, 2], [2, 4], [5, 1], [6, 1], [18, 2]], 1/19440], [[[1, 2], [2, 4], [5, 1], [6, 2], [22, 1]], 1/47520], [[[1, 2], [2, 4], [5, 1], [6, 3], [10, 2]], 17/5184000], [[[1, 2], [2, 4], [5, 1], [6, 4], [14, 1]], 1/1088640], [[[1, 2], [2, 4], [5, 1], [6, 4], [18, 1]], 1/93312], [[[1, 2], [2, 4], [5, 1], [6, 5], [10, 1]], 1/1036800], [[[1, 2], [2, 4], [5, 1], [6, 5], [12, 1]], 1/933120], [[[1, 2], [2, 4], [5, 1], [7, 1], [8, 2]], 1/107520], [[[1, 2], [2, 4], [5, 1], [8, 1], [11, 1]], 1/42240], [[[1, 2], [2, 4], [5, 1], [9, 1], [10, 2]], 1/7200], [[[1, 2], [2, 4], [5, 1], [10, 1], [22, 1]], 1/4400], [[[1, 2], [2, 4], [5, 1], [10, 2], [14, 1]], 11/14000], [[[1, 2], [2, 4], [5, 1], [10, 2], [18, 1]], 17/72000], [[[1, 2], [2, 4], [5, 2], [7, 1], [8, 1]], 1/134400], [[[1, 2], [2, 4], [5, 2], [8, 1], [9, 1]], 1/345600], [[[1, 2], [2, 4], [5, 2], [9, 1], [10, 1]], 1/14400], [[[1, 2], [2, 4], [6, 1], [8, 1], [14, 2]], 1/4704], [[[1, 2], [2, 4], [6, 1], [8, 1], [18, 2]], 5/62208], [[[1, 2], [2, 4], [6, 1], [9, 1], [11, 1]], 1/57024], [[[1, 2], [2, 4], [6, 1], [10, 1], [14, 2]], 1/3920], [[[1, 2], [2, 4], [6, 1], [10, 1], [18, 2]], 7/38880], [[[1, 2], [2, 4], [6, 1], [10, 3], [12, 1]], 1/32000], [[[1, 2], [2, 4], [6, 1], [12, 1], [14, 2]], 1/9408], [[[1, 2], [2, 4], [6, 1], [14, 1], [22, 1]], 1/3696], [[[1, 2], [2, 4], [6, 1], [18, 1], [22, 1]], 1/12672], [[[1, 2], [2, 4], [6, 2], [8, 1], [22, 1]], 5/152064], [[[1, 2], [2, 4], [6, 2], [8, 2], [18, 1]], 1/27648], [[[1, 2], [2, 4], [6, 2], [10, 1], [22, 1]], 7/95040], [[[1, 2], [2, 4], [6, 2], [10, 2], [14, 1]], 13/302400], [[[1, 2], [2, 4], [6, 2], [10, 2], [18, 1]], 1/6480], [[[1, 2], [2, 4], [6, 2], [12, 1], [22, 1]], 1/16896], [[[1, 2], [2, 4], [6, 3], [8, 1], [10, 2]], 1/2764800], [[[1, 2], [2, 4], [6, 3], [10, 2], [12, 1]], 1/86400], [[[1, 2], [2, 4], [6, 3], [14, 1], [18, 1]], 1/4536], [[[1, 2], [2, 4], [6, 4], [8, 1], [14, 1]], 1/1161216], [[[1, 2], [2, 4], [6, 4], [8, 1], [18, 1]], 23/1492992], [[[1, 2], [2, 4], [6, 4], [10, 1], [14, 1]], 23/8709120], [[[1, 2], [2, 4], [6, 4], [10, 1], [18, 1]], 31/933120], [[[1, 2], [2, 4], [6, 4], [12, 1], [18, 1]], 1/41472], [[[1, 2], [2, 4], [6, 5], [8, 1], [10, 1]], 1/3732480], [[[1, 2], [2, 4], [6, 5], [8, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 4], [6, 5], [10, 1], [12, 1]], 1/1866240], [[[1, 2], [2, 4], [8, 1], [10, 1], [22, 1]], 7/14080], [[[1, 2], [2, 4], [8, 1], [10, 2], [14, 1]], 11/44800], [[[1, 2], [2, 4], [8, 1], [10, 2], [18, 1]], 1/38400], [[[1, 2], [2, 4], [8, 2], [10, 1], [14, 1]], 1/35840], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 6]], 10337/1934917632], [[[1, 2], [2, 6], [3, 1], [4, 1], [9, 2]], 1/2488320], [[[1, 2], [2, 6], [3, 1], [4, 1], [10, 3]], 1/19200], [[[1, 2], [2, 6], [3, 1], [4, 1], [14, 2]], 1/14112], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 5]], 281/35831808], [[[1, 2], [2, 6], [3, 1], [4, 2], [22, 1]], 49/1216512], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 4]], 11183/1074954240], [[[1, 2], [2, 6], [3, 1], [4, 3], [8, 2]], 7/884736], [[[1, 2], [2, 6], [3, 1], [4, 3], [10, 2]], 1/184320], [[[1, 2], [2, 6], [3, 1], [4, 4], [6, 3]], 745/143327232], [[[1, 2], [2, 6], [3, 1], [4, 4], [14, 1]], 31/7741440], [[[1, 2], [2, 6], [3, 1], [4, 5], [6, 2]], 5/3981312], [[[1, 2], [2, 6], [3, 1], [4, 6], [6, 1]], 1/10616832], [[[1, 2], [2, 6], [3, 1], [6, 1], [10, 3]], 37/144000], [[[1, 2], [2, 6], [3, 1], [6, 1], [14, 2]], 17/141120], [[[1, 2], [2, 6], [3, 1], [6, 1], [18, 2]], 1/279936], [[[1, 2], [2, 6], [3, 1], [6, 2], [11, 1]], 107/24330240], [[[1, 2], [2, 6], [3, 1], [6, 2], [22, 1]], 467/2737152], [[[1, 2], [2, 6], [3, 1], [6, 3], [8, 2]], 1/373248], [[[1, 2], [2, 6], [3, 1], [6, 3], [10, 2]], 1421/7464960], [[[1, 2], [2, 6], [3, 1], [6, 4], [14, 1]], 10657/78382080], [[[1, 2], [2, 6], [3, 1], [6, 4], [18, 1]], 487/2519424], [[[1, 2], [2, 6], [3, 1], [6, 5], [8, 1]], 359/26873856], [[[1, 2], [2, 6], [3, 1], [6, 5], [10, 1]], 23/559872], [[[1, 2], [2, 6], [3, 1], [6, 5], [12, 1]], 431/13436928], [[[1, 2], [2, 6], [3, 1], [8, 1], [22, 1]], 1/760320], [[[1, 2], [2, 6], [3, 1], [8, 2], [14, 1]], 1/322560], [[[1, 2], [2, 6], [3, 1], [10, 1], [22, 1]], 1/21120], [[[1, 2], [2, 6], [3, 1], [10, 2], [14, 1]], 1/28800], [[[1, 2], [2, 6], [3, 1], [10, 2], [18, 1]], 1/518400], [[[1, 2], [2, 6], [3, 1], [11, 1], [12, 1]], 1/12165120], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 5]], 1079/107495424], [[[1, 2], [2, 6], [3, 2], [4, 1], [11, 1]], 1/6082560], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 4]], 2413/107495424], [[[1, 2], [2, 6], [3, 2], [4, 2], [8, 2]], 1/442368], [[[1, 2], [2, 6], [3, 2], [4, 2], [10, 2]], 7/1382400], [[[1, 2], [2, 6], [3, 2], [4, 3], [6, 3]], 143/23887872], [[[1, 2], [2, 6], [3, 2], [4, 4], [6, 2]], 197/159252480], [[[1, 2], [2, 6], [3, 2], [5, 1], [6, 4]], 1/2799360], [[[1, 2], [2, 6], [3, 2], [6, 1], [11, 1]], 1/912384], [[[1, 2], [2, 6], [3, 2], [6, 1], [22, 1]], 829/218972160], [[[1, 2], [2, 6], [3, 2], [6, 2], [8, 2]], 1/221184], [[[1, 2], [2, 6], [3, 2], [6, 2], [10, 2]], 6061/24883200], [[[1, 2], [2, 6], [3, 2], [6, 3], [9, 1]], 1/373248], [[[1, 2], [2, 6], [3, 2], [6, 3], [14, 1]], 24047/156764160], [[[1, 2], [2, 6], [3, 2], [6, 3], [18, 1]], 189287/1612431360], [[[1, 2], [2, 6], [3, 2], [6, 4], [8, 1]], 169/33592320], [[[1, 2], [2, 6], [3, 2], [6, 4], [10, 1]], 9041/67184640], [[[1, 2], [2, 6], [3, 2], [6, 4], [12, 1]], 1787/53747712], [[[1, 2], [2, 6], [3, 2], [14, 1], [18, 1]], 1/1088640], [[[1, 2], [2, 6], [3, 3], [4, 1], [5, 2]], 1/995328000], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 4]], 4535/214990848], [[[1, 2], [2, 6], [3, 3], [4, 1], [8, 2]], 1/15925248], [[[1, 2], [2, 6], [3, 3], [4, 2], [6, 3]], 11/1327104], [[[1, 2], [2, 6], [3, 3], [4, 2], [7, 1]], 1/278691840], [[[1, 2], [2, 6], [3, 3], [4, 3], [6, 2]], 23/119439360], [[[1, 2], [2, 6], [3, 3], [4, 3], [8, 1]], 7/95551488], [[[1, 2], [2, 6], [3, 3], [4, 4], [6, 1]], 1/47775744], [[[1, 2], [2, 6], [3, 3], [5, 1], [6, 3]], 1/207360], [[[1, 2], [2, 6], [3, 3], [5, 1], [7, 1]], 1/2090188800], [[[1, 2], [2, 6], [3, 3], [6, 1], [10, 2]], 1/4147200], [[[1, 2], [2, 6], [3, 3], [6, 2], [9, 1]], 49/19906560], [[[1, 2], [2, 6], [3, 3], [6, 2], [14, 1]], 97/8709120], [[[1, 2], [2, 6], [3, 3], [6, 2], [18, 1]], 1/2239488], [[[1, 2], [2, 6], [3, 3], [6, 3], [8, 1]], 31/2985984], [[[1, 2], [2, 6], [3, 3], [6, 3], [10, 1]], 19/622080], [[[1, 2], [2, 6], [3, 3], [6, 3], [12, 1]], 1/497664], [[[1, 2], [2, 6], [3, 3], [9, 1], [12, 1]], 1/29859840], [[[1, 2], [2, 6], [3, 4], [4, 1], [6, 3]], 481/119439360], [[[1, 2], [2, 6], [3, 4], [4, 1], [7, 1]], 1/418037760], [[[1, 2], [2, 6], [3, 4], [4, 1], [9, 1]], 13/179159040], [[[1, 2], [2, 6], [3, 4], [4, 2], [5, 1]], 1/597196800], [[[1, 2], [2, 6], [3, 4], [4, 2], [6, 2]], 1/5971968], [[[1, 2], [2, 6], [3, 4], [4, 2], [8, 1]], 1/39813120], [[[1, 2], [2, 6], [3, 4], [5, 1], [10, 1]], 1/29859840], [[[1, 2], [2, 6], [3, 4], [6, 1], [9, 1]], 1/2239488], [[[1, 2], [2, 6], [3, 4], [6, 1], [14, 1]], 1/8709120], [[[1, 2], [2, 6], [3, 4], [6, 2], [8, 1]], 13/7464960], [[[1, 2], [2, 6], [3, 4], [6, 2], [10, 1]], 1/3732480], [[[1, 2], [2, 6], [3, 4], [6, 2], [12, 1]], 1/1990656], [[[1, 2], [2, 6], [3, 5], [4, 1], [6, 2]], 1/35831808], [[[1, 2], [2, 6], [3, 6], [4, 1], [6, 1]], 1/1074954240], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 5]], 41/22394880], [[[1, 2], [2, 6], [4, 1], [5, 1], [11, 1]], 1/1689600], [[[1, 2], [2, 6], [4, 1], [5, 1], [22, 1]], 1/633600], [[[1, 2], [2, 6], [4, 1], [5, 2], [7, 1]], 1/5376000], [[[1, 2], [2, 6], [4, 1], [5, 2], [9, 1]], 1/13824000], [[[1, 2], [2, 6], [4, 1], [6, 1], [10, 3]], 1/8000], [[[1, 2], [2, 6], [4, 1], [6, 1], [14, 2]], 13/56448], [[[1, 2], [2, 6], [4, 1], [6, 1], [18, 2]], 29/497664], [[[1, 2], [2, 6], [4, 1], [6, 2], [22, 1]], 173/1216512], [[[1, 2], [2, 6], [4, 1], [6, 3], [8, 2]], 721/15925248], [[[1, 2], [2, 6], [4, 1], [6, 3], [10, 2]], 13669/199065600], [[[1, 2], [2, 6], [4, 1], [6, 3], [12, 2]], 1/248832], [[[1, 2], [2, 6], [4, 1], [6, 4], [14, 1]], 4813/83607552], [[[1, 2], [2, 6], [4, 1], [6, 4], [18, 1]], 1291/11943936], [[[1, 2], [2, 6], [4, 1], [6, 5], [8, 1]], 25/1990656], [[[1, 2], [2, 6], [4, 1], [6, 5], [10, 1]], 49/2985984], [[[1, 2], [2, 6], [4, 1], [6, 5], [12, 1]], 857/53747712], [[[1, 2], [2, 6], [4, 1], [8, 1], [11, 1]], 13/4055040], [[[1, 2], [2, 6], [4, 1], [8, 1], [22, 1]], 17/270336], [[[1, 2], [2, 6], [4, 1], [8, 2], [9, 1]], 1/221184], [[[1, 2], [2, 6], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 2], [2, 6], [4, 1], [8, 2], [18, 1]], 1/221184], [[[1, 2], [2, 6], [4, 1], [10, 1], [22, 1]], 39/112640], [[[1, 2], [2, 6], [4, 1], [10, 2], [14, 1]], 589/1075200], [[[1, 2], [2, 6], [4, 1], [10, 2], [18, 1]], 229/2764800], [[[1, 2], [2, 6], [4, 1], [12, 1], [22, 1]], 1/380160], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 4]], 1/460800], [[[1, 2], [2, 6], [4, 2], [5, 1], [8, 2]], 1/122880], [[[1, 2], [2, 6], [4, 2], [5, 1], [10, 2]], 23/256000], [[[1, 2], [2, 6], [4, 2], [6, 1], [11, 1]], 1/184320], [[[1, 2], [2, 6], [4, 2], [6, 1], [22, 1]], 1/8448], [[[1, 2], [2, 6], [4, 2], [6, 2], [8, 2]], 17/442368], [[[1, 2], [2, 6], [4, 2], [6, 2], [10, 2]], 269/2764800], [[[1, 2], [2, 6], [4, 2], [6, 2], [12, 2]], 1/414720], [[[1, 2], [2, 6], [4, 2], [6, 3], [14, 1]], 1457/39813120], [[[1, 2], [2, 6], [4, 2], [6, 3], [18, 1]], 79/746496], [[[1, 2], [2, 6], [4, 2], [6, 4], [8, 1]], 515/23887872], [[[1, 2], [2, 6], [4, 2], [6, 4], [10, 1]], 1999/119439360], [[[1, 2], [2, 6], [4, 2], [6, 4], [12, 1]], 353/11197440], [[[1, 2], [2, 6], [4, 2], [7, 1], [9, 1]], 1/3870720], [[[1, 2], [2, 6], [4, 2], [8, 1], [10, 2]], 7/61440], [[[1, 2], [2, 6], [4, 2], [8, 2], [10, 1]], 3/40960], [[[1, 2], [2, 6], [4, 2], [10, 2], [12, 1]], 11/230400], [[[1, 2], [2, 6], [4, 2], [14, 1], [18, 1]], 17/552960], [[[1, 2], [2, 6], [4, 3], [5, 1], [6, 3]], 1/1244160], [[[1, 2], [2, 6], [4, 3], [5, 1], [14, 1]], 1/322560], [[[1, 2], [2, 6], [4, 3], [6, 1], [8, 2]], 59/884736], [[[1, 2], [2, 6], [4, 3], [6, 1], [10, 2]], 67/1658880], [[[1, 2], [2, 6], [4, 3], [6, 2], [14, 1]], 143/4354560], [[[1, 2], [2, 6], [4, 3], [6, 2], [18, 1]], 23/414720], [[[1, 2], [2, 6], [4, 3], [6, 3], [8, 1]], 1609/95551488], [[[1, 2], [2, 6], [4, 3], [6, 3], [10, 1]], 1781/99532800], [[[1, 2], [2, 6], [4, 3], [6, 3], [12, 1]], 85/11943936], [[[1, 2], [2, 6], [4, 3], [8, 1], [9, 1]], 7/1327104], [[[1, 2], [2, 6], [4, 3], [8, 1], [14, 1]], 1/20160], [[[1, 2], [2, 6], [4, 3], [8, 1], [18, 1]], 1/147456], [[[1, 2], [2, 6], [4, 3], [10, 1], [14, 1]], 1091/19353600], [[[1, 2], [2, 6], [4, 3], [10, 1], [18, 1]], 23/4147200], [[[1, 2], [2, 6], [4, 3], [12, 1], [14, 1]], 1/193536], [[[1, 2], [2, 6], [4, 4], [5, 1], [6, 2]], 1/552960], [[[1, 2], [2, 6], [4, 4], [5, 1], [8, 1]], 1/737280], [[[1, 2], [2, 6], [4, 4], [5, 1], [10, 1]], 77/14745600], [[[1, 2], [2, 6], [4, 4], [6, 1], [9, 1]], 1/663552], [[[1, 2], [2, 6], [4, 4], [6, 1], [14, 1]], 607/18579456], [[[1, 2], [2, 6], [4, 4], [6, 1], [18, 1]], 319/39813120], [[[1, 2], [2, 6], [4, 4], [6, 2], [8, 1]], 307/7962624], [[[1, 2], [2, 6], [4, 4], [6, 2], [10, 1]], 701/39813120], [[[1, 2], [2, 6], [4, 4], [6, 2], [12, 1]], 7/1658880], [[[1, 2], [2, 6], [4, 4], [8, 1], [10, 1]], 7/368640], [[[1, 2], [2, 6], [4, 4], [8, 1], [12, 1]], 7/442368], [[[1, 2], [2, 6], [4, 4], [10, 1], [12, 1]], 1/276480], [[[1, 2], [2, 6], [4, 5], [6, 1], [8, 1]], 1/196608], [[[1, 2], [2, 6], [4, 5], [6, 1], [10, 1]], 1/442368], [[[1, 2], [2, 6], [5, 1], [6, 1], [22, 1]], 1/95040], [[[1, 2], [2, 6], [5, 1], [6, 2], [10, 2]], 29/216000], [[[1, 2], [2, 6], [5, 1], [6, 3], [14, 1]], 121/21772800], [[[1, 2], [2, 6], [5, 1], [6, 3], [18, 1]], 1/87480], [[[1, 2], [2, 6], [5, 1], [6, 4], [10, 1]], 859/49766400], [[[1, 2], [2, 6], [5, 1], [6, 4], [12, 1]], 1/466560], [[[1, 2], [2, 6], [5, 1], [7, 1], [9, 1]], 1/29030400], [[[1, 2], [2, 6], [5, 1], [8, 1], [10, 2]], 3/25600], [[[1, 2], [2, 6], [5, 1], [8, 2], [10, 1]], 1/61440], [[[1, 2], [2, 6], [5, 1], [14, 1], [18, 1]], 1/302400], [[[1, 2], [2, 6], [5, 2], [8, 1], [10, 1]], 1/76800], [[[1, 2], [2, 6], [6, 1], [8, 1], [22, 1]], 13/152064], [[[1, 2], [2, 6], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 6], [6, 1], [8, 2], [18, 1]], 1/55296], [[[1, 2], [2, 6], [6, 1], [10, 1], [22, 1]], 89/380160], [[[1, 2], [2, 6], [6, 1], [10, 2], [14, 1]], 83/172800], [[[1, 2], [2, 6], [6, 1], [10, 2], [18, 1]], 367/1036800], [[[1, 2], [2, 6], [6, 1], [12, 1], [22, 1]], 7/1351680], [[[1, 2], [2, 6], [6, 2], [8, 1], [10, 2]], 17/230400], [[[1, 2], [2, 6], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 6], [6, 2], [10, 2], [12, 1]], 79/1382400], [[[1, 2], [2, 6], [6, 2], [14, 1], [18, 1]], 37/145152], [[[1, 2], [2, 6], [6, 3], [8, 1], [14, 1]], 341/5806080], [[[1, 2], [2, 6], [6, 3], [8, 1], [18, 1]], 55/559872], [[[1, 2], [2, 6], [6, 3], [10, 1], [14, 1]], 110837/696729600], [[[1, 2], [2, 6], [6, 3], [10, 1], [18, 1]], 29/139968], [[[1, 2], [2, 6], [6, 3], [12, 1], [14, 1]], 11/193536], [[[1, 2], [2, 6], [6, 3], [12, 1], [18, 1]], 127/3317760], [[[1, 2], [2, 6], [6, 4], [8, 1], [10, 1]], 53/7464960], [[[1, 2], [2, 6], [6, 4], [8, 1], [12, 1]], 5/1492992], [[[1, 2], [2, 6], [6, 4], [10, 1], [12, 1]], 73/3732480], [[[1, 2], [2, 6], [8, 1], [14, 1], [18, 1]], 1/80640], [[[1, 2], [2, 6], [10, 1], [14, 1], [18, 1]], 131/1382400], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 5]], 65849/3224862720], [[[1, 2], [2, 8], [3, 1], [4, 1], [22, 1]], 23/27371520], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 4]], 22507/1433272320], [[[1, 2], [2, 8], [3, 1], [4, 2], [10, 2]], 193/11059200], [[[1, 2], [2, 8], [3, 1], [4, 3], [6, 3]], 5233/429981696], [[[1, 2], [2, 8], [3, 1], [4, 3], [14, 1]], 1/552960], [[[1, 2], [2, 8], [3, 1], [4, 4], [6, 2]], 8393/3822059520], [[[1, 2], [2, 8], [3, 1], [4, 4], [8, 1]], 1/1769472], [[[1, 2], [2, 8], [3, 1], [4, 4], [10, 1]], 211/232243200], [[[1, 2], [2, 8], [3, 1], [4, 4], [12, 1]], 1/70778880], [[[1, 2], [2, 8], [3, 1], [4, 5], [6, 1]], 23/159252480], [[[1, 2], [2, 8], [3, 1], [6, 1], [11, 1]], 1/36495360], [[[1, 2], [2, 8], [3, 1], [6, 1], [22, 1]], 11447/2299207680], [[[1, 2], [2, 8], [3, 1], [6, 2], [8, 2]], 1/4976640], [[[1, 2], [2, 8], [3, 1], [6, 2], [10, 2]], 149/622080], [[[1, 2], [2, 8], [3, 1], [6, 3], [14, 1]], 32369/313528320], [[[1, 2], [2, 8], [3, 1], [6, 3], [18, 1]], 121579/1881169920], [[[1, 2], [2, 8], [3, 1], [6, 4], [8, 1]], 126001/7524679680], [[[1, 2], [2, 8], [3, 1], [6, 4], [10, 1]], 147961/1254113280], [[[1, 2], [2, 8], [3, 1], [6, 4], [12, 1]], 1219/107495424], [[[1, 2], [2, 8], [3, 1], [8, 1], [10, 2]], 3427/1741824000], [[[1, 2], [2, 8], [3, 1], [8, 2], [10, 1]], 1/9676800], [[[1, 2], [2, 8], [3, 1], [14, 1], [18, 1]], 1/4354560], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 4]], 6721/537477120], [[[1, 2], [2, 8], [3, 2], [4, 2], [6, 3]], 2693/268738560], [[[1, 2], [2, 8], [3, 2], [4, 2], [9, 1]], 1/39813120], [[[1, 2], [2, 8], [3, 2], [4, 2], [14, 1]], 1/1658880], [[[1, 2], [2, 8], [3, 2], [4, 3], [6, 2]], 1019/836075520], [[[1, 2], [2, 8], [3, 2], [4, 3], [8, 1]], 1/17694720], [[[1, 2], [2, 8], [3, 2], [4, 4], [6, 1]], 53/4459069440], [[[1, 2], [2, 8], [3, 2], [5, 1], [6, 3]], 1/37324800], [[[1, 2], [2, 8], [3, 2], [6, 1], [10, 2]], 47017/13934592000], [[[1, 2], [2, 8], [3, 2], [6, 2], [9, 1]], 1/59719680], [[[1, 2], [2, 8], [3, 2], [6, 2], [14, 1]], 107/13271040], [[[1, 2], [2, 8], [3, 2], [6, 2], [18, 1]], 8849/4514807808], [[[1, 2], [2, 8], [3, 2], [6, 3], [8, 1]], 1309/1074954240], [[[1, 2], [2, 8], [3, 2], [6, 3], [10, 1]], 2680519/37623398400], [[[1, 2], [2, 8], [3, 2], [6, 3], [12, 1]], 853/1003290624], [[[1, 2], [2, 8], [3, 2], [10, 1], [14, 1]], 31/37324800], [[[1, 2], [2, 8], [3, 2], [10, 1], [18, 1]], 1/32659200], [[[1, 2], [2, 8], [3, 3], [4, 1], [6, 3]], 601/358318080], [[[1, 2], [2, 8], [3, 3], [4, 2], [6, 2]], 1/10616832], [[[1, 2], [2, 8], [3, 3], [4, 2], [8, 1]], 1/477757440], [[[1, 2], [2, 8], [3, 3], [5, 1], [10, 1]], 1/1194393600], [[[1, 2], [2, 8], [3, 3], [6, 1], [9, 1]], 1/89579520], [[[1, 2], [2, 8], [3, 3], [6, 1], [14, 1]], 1/34836480], [[[1, 2], [2, 8], [3, 3], [6, 2], [8, 1]], 29/836075520], [[[1, 2], [2, 8], [3, 3], [6, 2], [10, 1]], 59/46448640], [[[1, 2], [2, 8], [3, 3], [6, 2], [12, 1]], 1/79626240], [[[1, 2], [2, 8], [3, 4], [4, 1], [6, 2]], 7/119439360], [[[1, 2], [2, 8], [3, 4], [4, 2], [6, 1]], 1/477757440], [[[1, 2], [2, 8], [3, 4], [6, 1], [10, 1]], 1/261273600], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 4]], 11/7838208], [[[1, 2], [2, 8], [4, 1], [5, 1], [10, 2]], 106079/2903040000], [[[1, 2], [2, 8], [4, 1], [5, 2], [10, 1]], 29/82944000], [[[1, 2], [2, 8], [4, 1], [6, 1], [22, 1]], 53/1520640], [[[1, 2], [2, 8], [4, 1], [6, 2], [8, 2]], 29/2654208], [[[1, 2], [2, 8], [4, 1], [6, 2], [10, 2]], 1703/8294400], [[[1, 2], [2, 8], [4, 1], [6, 2], [12, 2]], 1/8709120], [[[1, 2], [2, 8], [4, 1], [6, 3], [14, 1]], 7831/83607552], [[[1, 2], [2, 8], [4, 1], [6, 3], [18, 1]], 3661/44789760], [[[1, 2], [2, 8], [4, 1], [6, 4], [8, 1]], 439/15925248], [[[1, 2], [2, 8], [4, 1], [6, 4], [10, 1]], 1153/18662400], [[[1, 2], [2, 8], [4, 1], [6, 4], [12, 1]], 1417/94058496], [[[1, 2], [2, 8], [4, 1], [8, 1], [10, 2]], 3427/36864000], [[[1, 2], [2, 8], [4, 1], [8, 2], [10, 1]], 17/1228800], [[[1, 2], [2, 8], [4, 1], [10, 2], [12, 1]], 3427/870912000], [[[1, 2], [2, 8], [4, 1], [14, 1], [18, 1]], 47/5806080], [[[1, 2], [2, 8], [4, 2], [5, 1], [6, 3]], 8513/4180377600], [[[1, 2], [2, 8], [4, 2], [5, 1], [7, 1]], 1/51609600], [[[1, 2], [2, 8], [4, 2], [5, 1], [14, 1]], 73/58060800], [[[1, 2], [2, 8], [4, 2], [5, 1], [18, 1]], 1/58060800], [[[1, 2], [2, 8], [4, 2], [6, 1], [8, 2]], 7/1105920], [[[1, 2], [2, 8], [4, 2], [6, 1], [10, 2]], 89/1024000], [[[1, 2], [2, 8], [4, 2], [6, 1], [12, 2]], 1/46448640], [[[1, 2], [2, 8], [4, 2], [6, 2], [14, 1]], 493/6635520], [[[1, 2], [2, 8], [4, 2], [6, 2], [18, 1]], 1613/39813120], [[[1, 2], [2, 8], [4, 2], [6, 3], [8, 1]], 94061/3344302080], [[[1, 2], [2, 8], [4, 2], [6, 3], [10, 1]], 20557/309657600], [[[1, 2], [2, 8], [4, 2], [6, 3], [12, 1]], 42191/5016453120], [[[1, 2], [2, 8], [4, 2], [8, 1], [9, 1]], 1/6635520], [[[1, 2], [2, 8], [4, 2], [8, 1], [14, 1]], 101/4644864], [[[1, 2], [2, 8], [4, 2], [8, 1], [18, 1]], 31/15482880], [[[1, 2], [2, 8], [4, 2], [10, 1], [14, 1]], 151/2064384], [[[1, 2], [2, 8], [4, 2], [10, 1], [18, 1]], 611/116121600], [[[1, 2], [2, 8], [4, 2], [12, 1], [14, 1]], 11/6967296], [[[1, 2], [2, 8], [4, 2], [12, 1], [18, 1]], 1/34836480], [[[1, 2], [2, 8], [4, 3], [5, 1], [6, 2]], 1/3317760], [[[1, 2], [2, 8], [4, 3], [5, 1], [8, 1]], 1/4915200], [[[1, 2], [2, 8], [4, 3], [5, 1], [10, 1]], 5497/1990656000], [[[1, 2], [2, 8], [4, 3], [6, 1], [14, 1]], 20729/836075520], [[[1, 2], [2, 8], [4, 3], [6, 1], [18, 1]], 26423/2508226560], [[[1, 2], [2, 8], [4, 3], [6, 2], [8, 1]], 2333/159252480], [[[1, 2], [2, 8], [4, 3], [6, 2], [10, 1]], 859/29030400], [[[1, 2], [2, 8], [4, 3], [6, 2], [12, 1]], 11/9289728], [[[1, 2], [2, 8], [4, 3], [8, 1], [10, 1]], 5567/309657600], [[[1, 2], [2, 8], [4, 3], [10, 1], [12, 1]], 1/2764800], [[[1, 2], [2, 8], [4, 4], [5, 1], [6, 1]], 1/5529600], [[[1, 2], [2, 8], [4, 4], [6, 1], [8, 1]], 947/119439360], [[[1, 2], [2, 8], [4, 4], [6, 1], [10, 1]], 11171/1194393600], [[[1, 2], [2, 8], [4, 4], [6, 1], [12, 1]], 277/743178240], [[[1, 2], [2, 8], [5, 1], [6, 1], [10, 2]], 223/3456000], [[[1, 2], [2, 8], [5, 1], [6, 2], [14, 1]], 11/3628800], [[[1, 2], [2, 8], [5, 1], [6, 2], [18, 1]], 133/55987200], [[[1, 2], [2, 8], [5, 1], [6, 3], [10, 1]], 264413/13934592000], [[[1, 2], [2, 8], [5, 1], [6, 3], [12, 1]], 1/6220800], [[[1, 2], [2, 8], [5, 1], [9, 1], [10, 1]], 1/16588800], [[[1, 2], [2, 8], [5, 1], [10, 1], [14, 1]], 67/12096000], [[[1, 2], [2, 8], [5, 1], [10, 1], [18, 1]], 31/64512000], [[[1, 2], [2, 8], [6, 1], [8, 1], [10, 2]], 119/1843200], [[[1, 2], [2, 8], [6, 1], [8, 2], [10, 1]], 1/368640], [[[1, 2], [2, 8], [6, 1], [10, 2], [12, 1]], 5219/774144000], [[[1, 2], [2, 8], [6, 1], [14, 1], [18, 1]], 269/11612160], [[[1, 2], [2, 8], [6, 2], [8, 1], [14, 1]], 1/21504], [[[1, 2], [2, 8], [6, 2], [8, 1], [18, 1]], 1079/44789760], [[[1, 2], [2, 8], [6, 2], [10, 1], [14, 1]], 24271/116121600], [[[1, 2], [2, 8], [6, 2], [10, 1], [18, 1]], 3029/22394880], [[[1, 2], [2, 8], [6, 2], [12, 1], [14, 1]], 157/15482880], [[[1, 2], [2, 8], [6, 2], [12, 1], [18, 1]], 1/737280], [[[1, 2], [2, 8], [6, 3], [8, 1], [10, 1]], 83603/2090188800], [[[1, 2], [2, 8], [6, 3], [8, 1], [12, 1]], 17/19906560], [[[1, 2], [2, 8], [6, 3], [10, 1], [12, 1]], 1841/99532800], [[[1, 2], [2, 8], [8, 1], [10, 1], [14, 1]], 2453/58060800], [[[1, 2], [2, 8], [8, 1], [10, 1], [18, 1]], 23/29030400], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 4]], 2793257/270888468480], [[[1, 2], [2, 10], [3, 1], [4, 1], [8, 2]], 1/477757440], [[[1, 2], [2, 10], [3, 1], [4, 1], [10, 2]], 179/116121600], [[[1, 2], [2, 10], [3, 1], [4, 2], [6, 3]], 31261/8599633920], [[[1, 2], [2, 10], [3, 1], [4, 2], [14, 1]], 1117/1950842880], [[[1, 2], [2, 10], [3, 1], [4, 2], [18, 1]], 1/278691840], [[[1, 2], [2, 10], [3, 1], [4, 3], [6, 2]], 9481/7524679680], [[[1, 2], [2, 10], [3, 1], [4, 3], [8, 1]], 1/106168320], [[[1, 2], [2, 10], [3, 1], [4, 3], [10, 1]], 1/9289728], [[[1, 2], [2, 10], [3, 1], [4, 4], [6, 1]], 83/716636160], [[[1, 2], [2, 10], [3, 1], [6, 1], [8, 2]], 1/418037760], [[[1, 2], [2, 10], [3, 1], [6, 1], [10, 2]], 129559/10450944000], [[[1, 2], [2, 10], [3, 1], [6, 2], [14, 1]], 6397/731566080], [[[1, 2], [2, 10], [3, 1], [6, 2], [18, 1]], 4547/2821754880], [[[1, 2], [2, 10], [3, 1], [6, 3], [8, 1]], 381401/225740390400], [[[1, 2], [2, 10], [3, 1], [6, 3], [10, 1]], 18623/537477120], [[[1, 2], [2, 10], [3, 1], [6, 3], [12, 1]], 1531/3762339840], [[[1, 2], [2, 10], [3, 1], [8, 1], [14, 1]], 23/1045094400], [[[1, 2], [2, 10], [3, 1], [8, 1], [18, 1]], 1/3135283200], [[[1, 2], [2, 10], [3, 1], [10, 1], [14, 1]], 641/914457600], [[[1, 2], [2, 10], [3, 1], [10, 1], [18, 1]], 1/130636800], [[[1, 2], [2, 10], [3, 2], [4, 1], [6, 3]], 5179/4299816960], [[[1, 2], [2, 10], [3, 2], [4, 2], [6, 2]], 17/69672960], [[[1, 2], [2, 10], [3, 2], [4, 2], [10, 1]], 1/49766400], [[[1, 2], [2, 10], [3, 2], [4, 3], [6, 1]], 5423/200658124800], [[[1, 2], [2, 10], [3, 2], [5, 1], [6, 2]], 1/3135283200], [[[1, 2], [2, 10], [3, 2], [6, 1], [14, 1]], 5881/87787929600], [[[1, 2], [2, 10], [3, 2], [6, 1], [18, 1]], 1/313528320], [[[1, 2], [2, 10], [3, 2], [6, 2], [8, 1]], 473/15049359360], [[[1, 2], [2, 10], [3, 2], [6, 2], [10, 1]], 8137/4702924800], [[[1, 2], [2, 10], [3, 2], [6, 2], [12, 1]], 1/1881169920], [[[1, 2], [2, 10], [3, 3], [4, 1], [6, 2]], 481/30098718720], [[[1, 2], [2, 10], [3, 3], [4, 2], [6, 1]], 1/2229534720], [[[1, 2], [2, 10], [3, 3], [6, 1], [8, 1]], 1/25082265600], [[[1, 2], [2, 10], [3, 3], [6, 1], [10, 1]], 1/1045094400], [[[1, 2], [2, 10], [4, 1], [5, 1], [6, 3]], 5783/26873856000], [[[1, 2], [2, 10], [4, 1], [5, 1], [14, 1]], 23/870912000], [[[1, 2], [2, 10], [4, 1], [5, 1], [18, 1]], 1/2612736000], [[[1, 2], [2, 10], [4, 1], [6, 1], [8, 2]], 613/1114767360], [[[1, 2], [2, 10], [4, 1], [6, 1], [10, 2]], 12803/248832000], [[[1, 2], [2, 10], [4, 1], [6, 1], [12, 2]], 1/2090188800], [[[1, 2], [2, 10], [4, 1], [6, 2], [14, 1]], 36359/1463132160], [[[1, 2], [2, 10], [4, 1], [6, 2], [18, 1]], 1303/125411328], [[[1, 2], [2, 10], [4, 1], [6, 3], [8, 1]], 1097/148635648], [[[1, 2], [2, 10], [4, 1], [6, 3], [10, 1]], 362119/8360755200], [[[1, 2], [2, 10], [4, 1], [6, 3], [12, 1]], 348667/225740390400], [[[1, 2], [2, 10], [4, 1], [8, 1], [14, 1]], 863/650280960], [[[1, 2], [2, 10], [4, 1], [8, 1], [18, 1]], 1/18579456], [[[1, 2], [2, 10], [4, 1], [10, 1], [14, 1]], 27859/1625702400], [[[1, 2], [2, 10], [4, 1], [10, 1], [18, 1]], 79/116121600], [[[1, 2], [2, 10], [4, 1], [12, 1], [14, 1]], 23/522547200], [[[1, 2], [2, 10], [4, 1], [12, 1], [18, 1]], 1/1567641600], [[[1, 2], [2, 10], [4, 2], [5, 1], [6, 2]], 173/1045094400], [[[1, 2], [2, 10], [4, 2], [5, 1], [8, 1]], 1/398131200], [[[1, 2], [2, 10], [4, 2], [5, 1], [10, 1]], 623/3981312000], [[[1, 2], [2, 10], [4, 2], [6, 1], [14, 1]], 4783/557383680], [[[1, 2], [2, 10], [4, 2], [6, 1], [18, 1]], 3961/1672151040], [[[1, 2], [2, 10], [4, 2], [6, 2], [8, 1]], 2819/557383680], [[[1, 2], [2, 10], [4, 2], [6, 2], [10, 1]], 180913/8360755200], [[[1, 2], [2, 10], [4, 2], [6, 2], [12, 1]], 1021/2006581248], [[[1, 2], [2, 10], [4, 2], [8, 1], [10, 1]], 121/26542080], [[[1, 2], [2, 10], [4, 2], [8, 1], [12, 1]], 1/238878720], [[[1, 2], [2, 10], [4, 2], [10, 1], [12, 1]], 11/130636800], [[[1, 2], [2, 10], [4, 3], [5, 1], [6, 1]], 1/116121600], [[[1, 2], [2, 10], [4, 3], [6, 1], [8, 1]], 1327/955514880], [[[1, 2], [2, 10], [4, 3], [6, 1], [10, 1]], 2921/557383680], [[[1, 2], [2, 10], [4, 3], [6, 1], [12, 1]], 863/33443020800], [[[1, 2], [2, 10], [5, 1], [6, 1], [14, 1]], 13/87091200], [[[1, 2], [2, 10], [5, 1], [6, 1], [18, 1]], 1/87091200], [[[1, 2], [2, 10], [5, 1], [6, 2], [10, 1]], 451/165888000], [[[1, 2], [2, 10], [5, 1], [6, 2], [12, 1]], 1/522547200], [[[1, 2], [2, 10], [5, 1], [8, 1], [10, 1]], 1/58060800], [[[1, 2], [2, 10], [6, 1], [8, 1], [14, 1]], 23/8128512], [[[1, 2], [2, 10], [6, 1], [8, 1], [18, 1]], 1/3265920], [[[1, 2], [2, 10], [6, 1], [10, 1], [14, 1]], 71413/2438553600], [[[1, 2], [2, 10], [6, 1], [10, 1], [18, 1]], 1417/261273600], [[[1, 2], [2, 10], [6, 1], [12, 1], [14, 1]], 83/541900800], [[[1, 2], [2, 10], [6, 2], [8, 1], [10, 1]], 67/8164800], [[[1, 2], [2, 10], [6, 2], [8, 1], [12, 1]], 19/836075520], [[[1, 2], [2, 10], [6, 2], [10, 1], [12, 1]], 2549/2090188800], [[[1, 2], [2, 12], [3, 1], [4, 1], [6, 3]], 7110889/8513637580800], [[[1, 2], [2, 12], [3, 1], [4, 1], [14, 1]], 71/4877107200], [[[1, 2], [2, 12], [3, 1], [4, 1], [18, 1]], 17/206928691200], [[[1, 2], [2, 12], [3, 1], [4, 2], [5, 1]], 1/229920768000], [[[1, 2], [2, 12], [3, 1], [4, 2], [6, 2]], 793/4926873600], [[[1, 2], [2, 12], [3, 1], [4, 2], [8, 1]], 47/33443020800], [[[1, 2], [2, 12], [3, 1], [4, 2], [10, 1]], 61/2090188800], [[[1, 2], [2, 12], [3, 1], [4, 2], [12, 1]], 1/137952460800], [[[1, 2], [2, 12], [3, 1], [4, 3], [6, 1]], 64403/3310859059200], [[[1, 2], [2, 12], [3, 1], [6, 1], [14, 1]], 37483/386266890240], [[[1, 2], [2, 12], [3, 1], [6, 1], [18, 1]], 2239/496628858880], [[[1, 2], [2, 12], [3, 1], [6, 2], [8, 1]], 901/25866086400], [[[1, 2], [2, 12], [3, 1], [6, 2], [10, 1]], 7151/5016453120], [[[1, 2], [2, 12], [3, 1], [6, 2], [12, 1]], 307/132434362368], [[[1, 2], [2, 12], [3, 1], [8, 1], [10, 1]], 23/19160064000], [[[1, 2], [2, 12], [3, 2], [4, 1], [6, 2]], 3551/150493593600], [[[1, 2], [2, 12], [3, 2], [4, 1], [8, 1]], 1/275904921600], [[[1, 2], [2, 12], [3, 2], [4, 2], [6, 1]], 2957/3783838924800], [[[1, 2], [2, 12], [3, 2], [5, 1], [6, 1]], 1/1379524608000], [[[1, 2], [2, 12], [3, 2], [6, 1], [8, 1]], 53/472979865600], [[[1, 2], [2, 12], [3, 2], [6, 1], [10, 1]], 2117/517321728000], [[[1, 2], [2, 12], [3, 2], [6, 1], [12, 1]], 1/827714764800], [[[1, 2], [2, 12], [3, 3], [4, 1], [6, 1]], 17/1655429529600], [[[1, 2], [2, 12], [4, 1], [5, 1], [6, 2]], 1103/172440576000], [[[1, 2], [2, 12], [4, 1], [5, 1], [8, 1]], 1/153280512000], [[[1, 2], [2, 12], [4, 1], [5, 1], [10, 1]], 13669/2043740160000], [[[1, 2], [2, 12], [4, 1], [6, 1], [14, 1]], 261137/234101145600], [[[1, 2], [2, 12], [4, 1], [6, 1], [18, 1]], 451/3715891200], [[[1, 2], [2, 12], [4, 1], [6, 2], [8, 1]], 11093/22295347200], [[[1, 2], [2, 12], [4, 1], [6, 2], [10, 1]], 3133/597196800], [[[1, 2], [2, 12], [4, 1], [6, 2], [12, 1]], 28327/827714764800], [[[1, 2], [2, 12], [4, 1], [8, 1], [10, 1]], 8641/55738368000], [[[1, 2], [2, 12], [4, 1], [8, 1], [12, 1]], 1/91968307200], [[[1, 2], [2, 12], [4, 1], [10, 1], [12, 1]], 23/9580032000], [[[1, 2], [2, 12], [4, 2], [5, 1], [6, 1]], 1/497664000], [[[1, 2], [2, 12], [4, 2], [6, 1], [8, 1]], 377/1911029760], [[[1, 2], [2, 12], [4, 2], [6, 1], [10, 1]], 479027/334430208000], [[[1, 2], [2, 12], [4, 2], [6, 1], [12, 1]], 21403/4414478745600], [[[1, 2], [2, 12], [5, 1], [6, 1], [10, 1]], 1291/27869184000], [[[1, 2], [2, 12], [5, 1], [6, 1], [12, 1]], 1/229920768000], [[[1, 2], [2, 12], [6, 1], [8, 1], [10, 1]], 143/597196800], [[[1, 2], [2, 12], [6, 1], [8, 1], [12, 1]], 17/183936614400], [[[1, 2], [2, 12], [6, 1], [10, 1], [12, 1]], 89/8211456000], [[[1, 2], [2, 14], [3, 1], [4, 1], [6, 2]], 147437/9932577177600], [[[1, 2], [2, 14], [3, 1], [4, 1], [8, 1]], 1/133772083200], [[[1, 2], [2, 14], [3, 1], [4, 1], [10, 1]], 431/551809843200], [[[1, 2], [2, 14], [3, 1], [4, 2], [6, 1]], 1757/1261279641600], [[[1, 2], [2, 14], [3, 1], [6, 1], [8, 1]], 881/6621718118400], [[[1, 2], [2, 14], [3, 1], [6, 1], [10, 1]], 366691/38626689024000], [[[1, 2], [2, 14], [3, 1], [6, 1], [12, 1]], 1/3310859059200], [[[1, 2], [2, 14], [3, 2], [4, 1], [6, 1]], 37/481579499520], [[[1, 2], [2, 14], [4, 1], [5, 1], [6, 1]], 17/344881152000], [[[1, 2], [2, 14], [4, 1], [6, 1], [8, 1]], 817/122624409600], [[[1, 2], [2, 14], [4, 1], [6, 1], [10, 1]], 113647/919683072000], [[[1, 2], [2, 14], [4, 1], [6, 1], [12, 1]], 211/1203948748800], [[[1, 2], [2, 16], [3, 1], [4, 1], [6, 1]], 99503/1668672965836800], [[[1, 2], [3, 1], [4, 2], [6, 2], [12, 3]], 1/3456], [[[1, 2], [3, 1], [4, 2], [6, 4], [12, 2]], 1/186624], [[[1, 2], [3, 1], [4, 2], [9, 1], [11, 1]], 1/19008], [[[1, 2], [3, 1], [4, 4], [6, 2], [12, 2]], 1/110592], [[[1, 2], [3, 1], [4, 4], [6, 4], [12, 1]], 1/5971968], [[[1, 2], [3, 1], [5, 1], [6, 2], [7, 2]], 1/35280], [[[1, 2], [3, 1], [5, 1], [7, 2], [12, 1]], 1/5880], [[[1, 2], [3, 1], [6, 2], [7, 1], [11, 1]], 1/11088], [[[1, 2], [3, 1], [7, 1], [11, 1], [12, 1]], 1/1848], [[[1, 2], [3, 2], [4, 1], [8, 1], [9, 2]], 1/15552], [[[1, 2], [3, 2], [4, 2], [6, 2], [11, 1]], 1/152064], [[[1, 2], [3, 2], [4, 2], [11, 1], [12, 1]], 1/25344], [[[1, 2], [3, 3], [4, 1], [8, 1], [11, 1]], 1/456192], [[[1, 2], [3, 3], [4, 2], [6, 2], [12, 2]], 1/20736], [[[1, 2], [3, 3], [4, 4], [6, 2], [12, 1]], 1/663552], [[[1, 2], [3, 3], [6, 2], [7, 1], [9, 1]], 1/27216], [[[1, 2], [3, 3], [7, 1], [9, 1], [12, 1]], 1/4536], [[[1, 2], [3, 4], [4, 2], [5, 1], [7, 1]], 1/4354560], [[[1, 2], [3, 4], [4, 2], [6, 2], [9, 1]], 1/373248], [[[1, 2], [3, 4], [4, 2], [9, 1], [12, 1]], 1/62208], [[[1, 2], [3, 5], [4, 1], [8, 1], [9, 1]], 1/1119744], [[[1, 2], [4, 1], [8, 1], [9, 1], [11, 1]], 1/6336], [[[1, 3], [2, 1], [3, 1], [4, 3], [9, 2]], 1/373248], [[[1, 3], [2, 1], [3, 1], [7, 1], [9, 2]], 1/2268], [[[1, 3], [2, 1], [3, 1], [7, 2], [9, 1]], 1/5292], [[[1, 3], [2, 1], [3, 2], [4, 2], [9, 2]], 1/20736], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 5]], 1/35831808], [[[1, 3], [2, 1], [3, 2], [4, 3], [11, 1]], 1/912384], [[[1, 3], [2, 1], [3, 2], [4, 5], [9, 1]], 1/1990656], [[[1, 3], [2, 1], [3, 2], [5, 1], [7, 2]], 1/17640], [[[1, 3], [2, 1], [3, 2], [5, 1], [9, 2]], 1/9720], [[[1, 3], [2, 1], [3, 2], [6, 2], [7, 2]], 1/42336], [[[1, 3], [2, 1], [3, 2], [6, 3], [11, 1]], 1/19008], [[[1, 3], [2, 1], [3, 2], [7, 1], [11, 1]], 1/5544], [[[1, 3], [2, 1], [3, 2], [7, 2], [12, 1]], 1/7056], [[[1, 3], [2, 1], [3, 2], [8, 1], [9, 2]], 1/31104], [[[1, 3], [2, 1], [3, 3], [4, 1], [7, 2]], 1/254016], [[[1, 3], [2, 1], [3, 3], [4, 1], [9, 2]], 1/7776], [[[1, 3], [2, 1], [3, 3], [4, 2], [11, 1]], 25/1824768], [[[1, 3], [2, 1], [3, 3], [4, 3], [5, 2]], 1/49766400], [[[1, 3], [2, 1], [3, 3], [5, 1], [11, 1]], 1/285120], [[[1, 3], [2, 1], [3, 3], [5, 2], [7, 1]], 1/453600], [[[1, 3], [2, 1], [3, 3], [6, 1], [9, 2]], 1/5832], [[[1, 3], [2, 1], [3, 3], [6, 5], [8, 1]], 1/2239488], [[[1, 3], [2, 1], [3, 3], [8, 1], [11, 1]], 1/912384], [[[1, 3], [2, 1], [3, 4], [4, 1], [11, 1]], 1/228096], [[[1, 3], [2, 1], [3, 4], [4, 2], [5, 2]], 1/12441600], [[[1, 3], [2, 1], [3, 4], [4, 2], [8, 2]], 1/995328], [[[1, 3], [2, 1], [3, 4], [4, 3], [6, 3]], 1/3981312], [[[1, 3], [2, 1], [3, 4], [4, 3], [7, 1]], 1/2985984], [[[1, 3], [2, 1], [3, 4], [4, 3], [9, 1]], 5/8957952], [[[1, 3], [2, 1], [3, 4], [6, 1], [11, 1]], 1/171072], [[[1, 3], [2, 1], [3, 4], [6, 3], [7, 1]], 1/108864], [[[1, 3], [2, 1], [3, 4], [6, 3], [9, 1]], 1/46656], [[[1, 3], [2, 1], [3, 4], [7, 1], [9, 1]], 13/163296], [[[1, 3], [2, 1], [3, 5], [4, 1], [12, 2]], 1/559872], [[[1, 3], [2, 1], [3, 5], [4, 2], [6, 3]], 1/1492992], [[[1, 3], [2, 1], [3, 5], [4, 2], [7, 1]], 1/5225472], [[[1, 3], [2, 1], [3, 5], [4, 2], [9, 1]], 1/165888], [[[1, 3], [2, 1], [3, 5], [4, 3], [5, 1]], 7/44789760], [[[1, 3], [2, 1], [3, 5], [4, 3], [6, 2]], 1/107495424], [[[1, 3], [2, 1], [3, 5], [4, 3], [8, 1]], 1/2985984], [[[1, 3], [2, 1], [3, 5], [4, 3], [12, 1]], 1/17915904], [[[1, 3], [2, 1], [3, 5], [5, 1], [9, 1]], 1/699840], [[[1, 3], [2, 1], [3, 5], [6, 3], [8, 1]], 7/1679616], [[[1, 3], [2, 1], [3, 5], [8, 1], [9, 1]], 1/2239488], [[[1, 3], [2, 1], [3, 6], [4, 1], [9, 1]], 1/559872], [[[1, 3], [2, 1], [3, 6], [6, 1], [7, 1]], 1/979776], [[[1, 3], [2, 1], [3, 6], [6, 1], [9, 1]], 1/419904], [[[1, 3], [2, 1], [3, 7], [4, 1], [10, 1]], 1/50388480], [[[1, 3], [2, 1], [3, 7], [4, 1], [12, 1]], 1/30233088], [[[1, 3], [2, 1], [3, 7], [4, 2], [6, 1]], 1/13436928], [[[1, 3], [2, 1], [3, 7], [6, 1], [8, 1]], 1/60466176], [[[1, 3], [2, 1], [4, 1], [7, 2], [9, 1]], 1/3528], [[[1, 3], [2, 1], [4, 1], [8, 2], [11, 1]], 1/5632], [[[1, 3], [2, 1], [4, 2], [9, 1], [11, 1]], 1/25344], [[[1, 3], [2, 1], [4, 3], [5, 1], [11, 1]], 1/84480], [[[1, 3], [2, 1], [4, 3], [5, 2], [7, 1]], 1/268800], [[[1, 3], [2, 1], [4, 3], [5, 2], [9, 1]], 1/691200], [[[1, 3], [2, 1], [4, 3], [10, 1], [11, 1]], 1/42240], [[[1, 3], [2, 1], [4, 3], [11, 1], [12, 1]], 1/25344], [[[1, 3], [2, 1], [4, 5], [5, 1], [7, 1]], 1/2580480], [[[1, 3], [2, 1], [4, 5], [6, 3], [8, 1]], 1/15925248], [[[1, 3], [2, 1], [4, 5], [8, 1], [18, 1]], 1/221184], [[[1, 3], [2, 1], [5, 1], [7, 1], [11, 1]], 1/1540], [[[1, 3], [2, 1], [5, 1], [7, 2], [8, 1]], 1/3920], [[[1, 3], [2, 1], [5, 1], [9, 1], [11, 1]], 1/3960], [[[1, 3], [2, 1], [5, 2], [7, 1], [9, 1]], 1/6300], [[[1, 3], [2, 1], [6, 2], [8, 1], [18, 2]], 1/93312], [[[1, 3], [2, 1], [6, 3], [8, 1], [22, 1]], 1/2737152], [[[1, 3], [2, 1], [6, 5], [8, 1], [18, 1]], 1/6718464], [[[1, 3], [2, 1], [7, 1], [8, 1], [11, 1]], 1/1232], [[[1, 3], [2, 1], [8, 1], [9, 1], [11, 1]], 1/12672], [[[1, 3], [2, 1], [8, 1], [18, 1], [22, 1]], 1/38016], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 7]], 1/241864704], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 6]], 1/3981312], [[[1, 3], [2, 3], [3, 1], [4, 2], [9, 2]], 1/9216], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 5]], 31/53747712], [[[1, 3], [2, 3], [3, 1], [4, 3], [11, 1]], 1/101376], [[[1, 3], [2, 3], [3, 1], [4, 3], [22, 1]], 43/304128], [[[1, 3], [2, 3], [3, 1], [4, 4], [5, 2]], 1/460800], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 4]], 1/23887872], [[[1, 3], [2, 3], [3, 1], [4, 4], [8, 2]], 11/147456], [[[1, 3], [2, 3], [3, 1], [4, 4], [10, 2]], 1/921600], [[[1, 3], [2, 3], [3, 1], [4, 5], [9, 1]], 1/331776], [[[1, 3], [2, 3], [3, 1], [4, 5], [14, 1]], 1/258048], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 6]], 1/2799360], [[[1, 3], [2, 3], [3, 1], [5, 1], [9, 2]], 1/12960], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 4]], 1/1036800], [[[1, 3], [2, 3], [3, 1], [5, 3], [6, 2]], 1/576000], [[[1, 3], [2, 3], [3, 1], [5, 3], [12, 1]], 1/96000], [[[1, 3], [2, 3], [3, 1], [6, 2], [9, 2]], 1/23328], [[[1, 3], [2, 3], [3, 1], [6, 2], [14, 2]], 1/21168], [[[1, 3], [2, 3], [3, 1], [6, 2], [18, 2]], 1/7776], [[[1, 3], [2, 3], [3, 1], [6, 3], [11, 1]], 5/76032], [[[1, 3], [2, 3], [3, 1], [6, 3], [22, 1]], 25/684288], [[[1, 3], [2, 3], [3, 1], [6, 4], [10, 2]], 1/1166400], [[[1, 3], [2, 3], [3, 1], [6, 5], [14, 1]], 1/1959552], [[[1, 3], [2, 3], [3, 1], [6, 5], [18, 1]], 1/62208], [[[1, 3], [2, 3], [3, 1], [6, 6], [8, 1]], 1/4478976], [[[1, 3], [2, 3], [3, 1], [6, 6], [10, 1]], 1/5598720], [[[1, 3], [2, 3], [3, 1], [8, 1], [9, 2]], 19/186624], [[[1, 3], [2, 3], [3, 1], [8, 1], [10, 3]], 1/48000], [[[1, 3], [2, 3], [3, 1], [8, 2], [10, 2]], 1/38400], [[[1, 3], [2, 3], [3, 1], [9, 1], [11, 1]], 1/19008], [[[1, 3], [2, 3], [3, 1], [9, 2], [10, 1]], 1/6480], [[[1, 3], [2, 3], [3, 1], [18, 1], [22, 1]], 1/9504], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 6]], 11/13436928], [[[1, 3], [2, 3], [3, 2], [4, 1], [9, 2]], 19/373248], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 5]], 41/11943936], [[[1, 3], [2, 3], [3, 2], [4, 2], [11, 1]], 1/22528], [[[1, 3], [2, 3], [3, 2], [4, 2], [22, 1]], 1/12672], [[[1, 3], [2, 3], [3, 2], [4, 3], [5, 2]], 1/2764800], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 4]], 7/5971968], [[[1, 3], [2, 3], [3, 2], [4, 3], [8, 2]], 1/73728], [[[1, 3], [2, 3], [3, 2], [4, 3], [12, 2]], 1/27648], [[[1, 3], [2, 3], [3, 2], [4, 4], [6, 3]], 1/663552], [[[1, 3], [2, 3], [3, 2], [4, 4], [7, 1]], 1/774144], [[[1, 3], [2, 3], [3, 2], [4, 4], [9, 1]], 1/248832], [[[1, 3], [2, 3], [3, 2], [4, 5], [6, 2]], 1/884736], [[[1, 3], [2, 3], [3, 2], [4, 5], [8, 1]], 1/2654208], [[[1, 3], [2, 3], [3, 2], [4, 5], [12, 1]], 1/442368], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 5]], 1/311040], [[[1, 3], [2, 3], [3, 2], [5, 1], [11, 1]], 1/31680], [[[1, 3], [2, 3], [3, 2], [5, 2], [6, 3]], 1/129600], [[[1, 3], [2, 3], [3, 2], [5, 2], [7, 1]], 1/100800], [[[1, 3], [2, 3], [3, 2], [5, 2], [9, 1]], 1/21600], [[[1, 3], [2, 3], [3, 2], [6, 1], [7, 2]], 1/21168], [[[1, 3], [2, 3], [3, 2], [6, 1], [9, 2]], 1/7776], [[[1, 3], [2, 3], [3, 2], [6, 1], [10, 3]], 1/576000], [[[1, 3], [2, 3], [3, 2], [6, 1], [18, 2]], 1/23328], [[[1, 3], [2, 3], [3, 2], [6, 2], [11, 1]], 107/456192], [[[1, 3], [2, 3], [3, 2], [6, 2], [22, 1]], 107/456192], [[[1, 3], [2, 3], [3, 2], [6, 3], [8, 2]], 1/41472], [[[1, 3], [2, 3], [3, 2], [6, 3], [10, 2]], 1/9331200], [[[1, 3], [2, 3], [3, 2], [6, 4], [7, 1]], 1/435456], [[[1, 3], [2, 3], [3, 2], [6, 4], [9, 1]], 1/186624], [[[1, 3], [2, 3], [3, 2], [6, 4], [14, 1]], 181/3919104], [[[1, 3], [2, 3], [3, 2], [6, 4], [18, 1]], 371/3359232], [[[1, 3], [2, 3], [3, 2], [6, 5], [8, 1]], 181/26873856], [[[1, 3], [2, 3], [3, 2], [6, 5], [10, 1]], 7/5598720], [[[1, 3], [2, 3], [3, 2], [6, 5], [12, 1]], 1/93312], [[[1, 3], [2, 3], [3, 2], [8, 1], [11, 1]], 19/456192], [[[1, 3], [2, 3], [3, 2], [8, 1], [22, 1]], 5/38016], [[[1, 3], [2, 3], [3, 2], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 3], [3, 2], [10, 1], [11, 1]], 1/15840], [[[1, 3], [2, 3], [3, 2], [10, 1], [22, 1]], 1/15840], [[[1, 3], [2, 3], [3, 2], [10, 2], [14, 1]], 1/50400], [[[1, 3], [2, 3], [3, 2], [10, 2], [18, 1]], 1/129600], [[[1, 3], [2, 3], [3, 2], [11, 1], [12, 1]], 1/25344], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 5]], 31/26873856], [[[1, 3], [2, 3], [3, 3], [4, 1], [11, 1]], 19/10948608], [[[1, 3], [2, 3], [3, 3], [4, 1], [22, 1]], 1/19008], [[[1, 3], [2, 3], [3, 3], [4, 2], [5, 2]], 1/3686400], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 4]], 1/110592], [[[1, 3], [2, 3], [3, 3], [4, 2], [8, 2]], 1/1327104], [[[1, 3], [2, 3], [3, 3], [4, 2], [12, 2]], 1/41472], [[[1, 3], [2, 3], [3, 3], [4, 3], [6, 3]], 1/62208], [[[1, 3], [2, 3], [3, 3], [4, 3], [7, 1]], 5/2322432], [[[1, 3], [2, 3], [3, 3], [4, 3], [9, 1]], 1/165888], [[[1, 3], [2, 3], [3, 3], [4, 4], [5, 1]], 13/19906560], [[[1, 3], [2, 3], [3, 3], [4, 4], [6, 2]], 1/663552], [[[1, 3], [2, 3], [3, 3], [4, 4], [8, 1]], 101/15925248], [[[1, 3], [2, 3], [3, 3], [4, 4], [12, 1]], 1/1327104], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 4]], 1/69120], [[[1, 3], [2, 3], [3, 3], [5, 1], [10, 2]], 1/518400], [[[1, 3], [2, 3], [3, 3], [5, 2], [6, 2]], 1/9331200], [[[1, 3], [2, 3], [3, 3], [5, 2], [8, 1]], 7/24883200], [[[1, 3], [2, 3], [3, 3], [5, 2], [10, 1]], 17/5184000], [[[1, 3], [2, 3], [3, 3], [6, 1], [11, 1]], 25/684288], [[[1, 3], [2, 3], [3, 3], [6, 1], [22, 1]], 5/76032], [[[1, 3], [2, 3], [3, 3], [6, 2], [8, 2]], 1/41472], [[[1, 3], [2, 3], [3, 3], [6, 2], [10, 2]], 1/129600], [[[1, 3], [2, 3], [3, 3], [6, 3], [7, 1]], 19/217728], [[[1, 3], [2, 3], [3, 3], [6, 3], [9, 1]], 61/559872], [[[1, 3], [2, 3], [3, 3], [6, 3], [14, 1]], 19/217728], [[[1, 3], [2, 3], [3, 3], [6, 3], [18, 1]], 61/559872], [[[1, 3], [2, 3], [3, 3], [6, 4], [8, 1]], 181/5971968], [[[1, 3], [2, 3], [3, 3], [6, 4], [10, 1]], 11/5598720], [[[1, 3], [2, 3], [3, 3], [6, 4], [12, 1]], 5/93312], [[[1, 3], [2, 3], [3, 4], [4, 1], [5, 2]], 1/3110400], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 4]], 11/746496], [[[1, 3], [2, 3], [3, 4], [4, 1], [8, 2]], 1/995328], [[[1, 3], [2, 3], [3, 4], [4, 2], [6, 3]], 1/110592], [[[1, 3], [2, 3], [3, 4], [4, 2], [7, 1]], 1/1548288], [[[1, 3], [2, 3], [3, 4], [4, 2], [9, 1]], 13/663552], [[[1, 3], [2, 3], [3, 4], [4, 3], [5, 1]], 7/14929920], [[[1, 3], [2, 3], [3, 4], [4, 3], [6, 2]], 7/5971968], [[[1, 3], [2, 3], [3, 4], [4, 3], [8, 1]], 11/3981312], [[[1, 3], [2, 3], [3, 4], [4, 3], [10, 1]], 1/2488320], [[[1, 3], [2, 3], [3, 4], [4, 3], [12, 1]], 1/1492992], [[[1, 3], [2, 3], [3, 4], [4, 4], [6, 1]], 1/23887872], [[[1, 3], [2, 3], [3, 4], [5, 1], [6, 3]], 11/5598720], [[[1, 3], [2, 3], [3, 4], [5, 1], [7, 1]], 1/1451520], [[[1, 3], [2, 3], [3, 4], [5, 1], [9, 1]], 13/933120], [[[1, 3], [2, 3], [3, 4], [5, 2], [6, 1]], 1/1166400], [[[1, 3], [2, 3], [3, 4], [6, 1], [10, 2]], 1/1036800], [[[1, 3], [2, 3], [3, 4], [6, 2], [7, 1]], 181/3919104], [[[1, 3], [2, 3], [3, 4], [6, 2], [9, 1]], 371/3359232], [[[1, 3], [2, 3], [3, 4], [6, 2], [14, 1]], 1/435456], [[[1, 3], [2, 3], [3, 4], [6, 2], [18, 1]], 1/186624], [[[1, 3], [2, 3], [3, 4], [6, 3], [8, 1]], 181/5971968], [[[1, 3], [2, 3], [3, 4], [6, 3], [10, 1]], 1/69120], [[[1, 3], [2, 3], [3, 4], [6, 3], [12, 1]], 5/93312], [[[1, 3], [2, 3], [3, 4], [7, 1], [8, 1]], 1/1492992], [[[1, 3], [2, 3], [3, 4], [7, 1], [10, 1]], 1/1088640], [[[1, 3], [2, 3], [3, 4], [8, 1], [9, 1]], 83/4478976], [[[1, 3], [2, 3], [3, 4], [9, 1], [10, 1]], 13/466560], [[[1, 3], [2, 3], [3, 4], [9, 1], [12, 1]], 1/62208], [[[1, 3], [2, 3], [3, 5], [4, 1], [6, 3]], 31/26873856], [[[1, 3], [2, 3], [3, 5], [4, 1], [9, 1]], 19/26873856], [[[1, 3], [2, 3], [3, 5], [4, 2], [6, 2]], 41/11943936], [[[1, 3], [2, 3], [3, 5], [4, 2], [10, 1]], 1/3732480], [[[1, 3], [2, 3], [3, 5], [4, 2], [12, 1]], 1/2239488], [[[1, 3], [2, 3], [3, 5], [4, 3], [6, 1]], 31/53747712], [[[1, 3], [2, 3], [3, 5], [5, 1], [6, 2]], 7/5598720], [[[1, 3], [2, 3], [3, 5], [5, 1], [8, 1]], 1/22394880], [[[1, 3], [2, 3], [3, 5], [6, 1], [7, 1]], 1/1959552], [[[1, 3], [2, 3], [3, 5], [6, 1], [9, 1]], 1/62208], [[[1, 3], [2, 3], [3, 5], [6, 2], [8, 1]], 181/26873856], [[[1, 3], [2, 3], [3, 5], [6, 2], [10, 1]], 1/311040], [[[1, 3], [2, 3], [3, 5], [6, 2], [12, 1]], 1/93312], [[[1, 3], [2, 3], [3, 5], [8, 1], [12, 1]], 1/8957952], [[[1, 3], [2, 3], [3, 6], [4, 1], [6, 2]], 11/13436928], [[[1, 3], [2, 3], [3, 6], [4, 2], [6, 1]], 1/3981312], [[[1, 3], [2, 3], [3, 6], [5, 1], [6, 1]], 1/5598720], [[[1, 3], [2, 3], [3, 6], [6, 1], [8, 1]], 1/4478976], [[[1, 3], [2, 3], [3, 6], [6, 1], [10, 1]], 1/2799360], [[[1, 3], [2, 3], [3, 7], [4, 1], [6, 1]], 1/241864704], [[[1, 3], [2, 3], [4, 1], [5, 1], [7, 2]], 1/47040], [[[1, 3], [2, 3], [4, 1], [5, 1], [10, 3]], 1/40000], [[[1, 3], [2, 3], [4, 1], [5, 2], [10, 2]], 1/2000], [[[1, 3], [2, 3], [4, 1], [5, 3], [10, 1]], 1/40000], [[[1, 3], [2, 3], [4, 1], [5, 3], [12, 1]], 1/24000], [[[1, 3], [2, 3], [4, 1], [6, 2], [18, 2]], 19/373248], [[[1, 3], [2, 3], [4, 1], [6, 3], [11, 1]], 1/19008], [[[1, 3], [2, 3], [4, 1], [6, 3], [22, 1]], 19/10948608], [[[1, 3], [2, 3], [4, 1], [6, 4], [8, 2]], 1/995328], [[[1, 3], [2, 3], [4, 1], [6, 4], [10, 2]], 1/3110400], [[[1, 3], [2, 3], [4, 1], [6, 5], [18, 1]], 19/26873856], [[[1, 3], [2, 3], [4, 1], [7, 1], [11, 1]], 1/14784], [[[1, 3], [2, 3], [4, 1], [9, 1], [11, 1]], 19/152064], [[[1, 3], [2, 3], [4, 1], [10, 1], [14, 2]], 1/47040], [[[1, 3], [2, 3], [4, 1], [10, 3], [12, 1]], 1/24000], [[[1, 3], [2, 3], [4, 1], [14, 1], [22, 1]], 1/14784], [[[1, 3], [2, 3], [4, 1], [18, 1], [22, 1]], 19/152064], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 5]], 1/3732480], [[[1, 3], [2, 3], [4, 2], [5, 1], [11, 1]], 9/56320], [[[1, 3], [2, 3], [4, 2], [5, 1], [22, 1]], 1/7040], [[[1, 3], [2, 3], [4, 2], [5, 2], [7, 1]], 9/179200], [[[1, 3], [2, 3], [4, 2], [5, 2], [9, 1]], 1/51200], [[[1, 3], [2, 3], [4, 2], [6, 1], [18, 2]], 1/9216], [[[1, 3], [2, 3], [4, 2], [6, 2], [11, 1]], 1/12672], [[[1, 3], [2, 3], [4, 2], [6, 2], [22, 1]], 1/22528], [[[1, 3], [2, 3], [4, 2], [6, 3], [8, 2]], 1/1327104], [[[1, 3], [2, 3], [4, 2], [6, 3], [10, 2]], 1/3686400], [[[1, 3], [2, 3], [4, 2], [6, 3], [12, 2]], 1/41472], [[[1, 3], [2, 3], [4, 2], [6, 4], [14, 1]], 1/1548288], [[[1, 3], [2, 3], [4, 2], [6, 4], [18, 1]], 13/663552], [[[1, 3], [2, 3], [4, 2], [6, 5], [12, 1]], 1/2239488], [[[1, 3], [2, 3], [4, 2], [7, 1], [8, 2]], 1/3584], [[[1, 3], [2, 3], [4, 2], [8, 1], [11, 1]], 1/4608], [[[1, 3], [2, 3], [4, 2], [8, 1], [22, 1]], 1/4608], [[[1, 3], [2, 3], [4, 2], [8, 2], [9, 1]], 1/18432], [[[1, 3], [2, 3], [4, 2], [8, 2], [14, 1]], 1/3584], [[[1, 3], [2, 3], [4, 2], [8, 2], [18, 1]], 1/18432], [[[1, 3], [2, 3], [4, 2], [10, 1], [11, 1]], 1/7040], [[[1, 3], [2, 3], [4, 2], [10, 1], [22, 1]], 9/56320], [[[1, 3], [2, 3], [4, 2], [10, 2], [14, 1]], 9/179200], [[[1, 3], [2, 3], [4, 2], [10, 2], [18, 1]], 1/51200], [[[1, 3], [2, 3], [4, 2], [11, 1], [12, 1]], 1/4224], [[[1, 3], [2, 3], [4, 2], [12, 1], [22, 1]], 1/4224], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 4]], 1/2488320], [[[1, 3], [2, 3], [4, 3], [5, 1], [8, 2]], 1/20480], [[[1, 3], [2, 3], [4, 3], [5, 1], [10, 2]], 1/38400], [[[1, 3], [2, 3], [4, 3], [5, 2], [8, 1]], 1/614400], [[[1, 3], [2, 3], [4, 3], [5, 2], [10, 1]], 1/38400], [[[1, 3], [2, 3], [4, 3], [6, 1], [11, 1]], 43/304128], [[[1, 3], [2, 3], [4, 3], [6, 1], [22, 1]], 1/101376], [[[1, 3], [2, 3], [4, 3], [6, 2], [8, 2]], 1/73728], [[[1, 3], [2, 3], [4, 3], [6, 2], [10, 2]], 1/2764800], [[[1, 3], [2, 3], [4, 3], [6, 2], [12, 2]], 1/27648], [[[1, 3], [2, 3], [4, 3], [6, 3], [14, 1]], 5/2322432], [[[1, 3], [2, 3], [4, 3], [6, 3], [18, 1]], 1/165888], [[[1, 3], [2, 3], [4, 3], [6, 4], [8, 1]], 11/3981312], [[[1, 3], [2, 3], [4, 3], [6, 4], [10, 1]], 7/14929920], [[[1, 3], [2, 3], [4, 3], [6, 4], [12, 1]], 1/1492992], [[[1, 3], [2, 3], [4, 3], [7, 1], [9, 1]], 1/10752], [[[1, 3], [2, 3], [4, 3], [8, 1], [10, 2]], 1/614400], [[[1, 3], [2, 3], [4, 3], [8, 2], [10, 1]], 1/20480], [[[1, 3], [2, 3], [4, 3], [14, 1], [18, 1]], 1/10752], [[[1, 3], [2, 3], [4, 4], [5, 1], [7, 1]], 1/143360], [[[1, 3], [2, 3], [4, 4], [5, 1], [9, 1]], 1/276480], [[[1, 3], [2, 3], [4, 4], [5, 2], [6, 1]], 1/921600], [[[1, 3], [2, 3], [4, 4], [6, 1], [8, 2]], 11/147456], [[[1, 3], [2, 3], [4, 4], [6, 1], [10, 2]], 1/460800], [[[1, 3], [2, 3], [4, 4], [6, 2], [14, 1]], 1/774144], [[[1, 3], [2, 3], [4, 4], [6, 2], [18, 1]], 1/248832], [[[1, 3], [2, 3], [4, 4], [6, 3], [8, 1]], 101/15925248], [[[1, 3], [2, 3], [4, 4], [6, 3], [10, 1]], 13/19906560], [[[1, 3], [2, 3], [4, 4], [6, 3], [12, 1]], 1/1327104], [[[1, 3], [2, 3], [4, 4], [7, 1], [8, 1]], 1/172032], [[[1, 3], [2, 3], [4, 4], [8, 1], [9, 1]], 5/221184], [[[1, 3], [2, 3], [4, 4], [8, 1], [14, 1]], 1/172032], [[[1, 3], [2, 3], [4, 4], [8, 1], [18, 1]], 5/221184], [[[1, 3], [2, 3], [4, 4], [10, 1], [14, 1]], 1/143360], [[[1, 3], [2, 3], [4, 4], [10, 1], [18, 1]], 1/276480], [[[1, 3], [2, 3], [4, 5], [5, 1], [8, 1]], 1/81920], [[[1, 3], [2, 3], [4, 5], [5, 1], [10, 1]], 1/737280], [[[1, 3], [2, 3], [4, 5], [6, 1], [7, 1]], 1/258048], [[[1, 3], [2, 3], [4, 5], [6, 1], [18, 1]], 1/331776], [[[1, 3], [2, 3], [4, 5], [6, 2], [8, 1]], 1/2654208], [[[1, 3], [2, 3], [4, 5], [6, 2], [12, 1]], 1/442368], [[[1, 3], [2, 3], [4, 5], [8, 1], [10, 1]], 1/81920], [[[1, 3], [2, 3], [4, 5], [8, 1], [12, 1]], 1/36864], [[[1, 3], [2, 3], [5, 1], [6, 1], [18, 2]], 1/6480], [[[1, 3], [2, 3], [5, 1], [6, 2], [11, 1]], 1/15840], [[[1, 3], [2, 3], [5, 1], [6, 2], [22, 1]], 1/15840], [[[1, 3], [2, 3], [5, 1], [6, 3], [10, 2]], 17/5184000], [[[1, 3], [2, 3], [5, 1], [6, 4], [14, 1]], 1/1088640], [[[1, 3], [2, 3], [5, 1], [6, 4], [18, 1]], 13/466560], [[[1, 3], [2, 3], [5, 1], [7, 1], [8, 2]], 1/17920], [[[1, 3], [2, 3], [5, 1], [8, 1], [11, 1]], 13/42240], [[[1, 3], [2, 3], [5, 1], [8, 1], [22, 1]], 1/3520], [[[1, 3], [2, 3], [5, 1], [9, 1], [10, 2]], 1/7200], [[[1, 3], [2, 3], [5, 1], [10, 1], [11, 1]], 1/4400], [[[1, 3], [2, 3], [5, 1], [10, 1], [22, 1]], 1/4400], [[[1, 3], [2, 3], [5, 1], [10, 2], [14, 1]], 3/7000], [[[1, 3], [2, 3], [5, 1], [10, 2], [18, 1]], 17/72000], [[[1, 3], [2, 3], [5, 2], [6, 1], [8, 2]], 1/38400], [[[1, 3], [2, 3], [5, 2], [6, 2], [7, 1]], 1/50400], [[[1, 3], [2, 3], [5, 2], [6, 2], [9, 1]], 1/129600], [[[1, 3], [2, 3], [5, 2], [6, 3], [10, 1]], 1/518400], [[[1, 3], [2, 3], [5, 2], [7, 1], [8, 1]], 13/134400], [[[1, 3], [2, 3], [5, 2], [7, 1], [10, 1]], 3/7000], [[[1, 3], [2, 3], [5, 2], [8, 1], [9, 1]], 7/345600], [[[1, 3], [2, 3], [5, 2], [9, 1], [10, 1]], 17/72000], [[[1, 3], [2, 3], [5, 2], [10, 1], [18, 1]], 1/7200], [[[1, 3], [2, 3], [5, 3], [6, 1], [8, 1]], 1/48000], [[[1, 3], [2, 3], [6, 1], [8, 1], [18, 2]], 19/186624], [[[1, 3], [2, 3], [6, 1], [9, 1], [11, 1]], 1/9504], [[[1, 3], [2, 3], [6, 1], [10, 1], [18, 2]], 1/12960], [[[1, 3], [2, 3], [6, 1], [10, 3], [12, 1]], 1/96000], [[[1, 3], [2, 3], [6, 1], [18, 1], [22, 1]], 1/19008], [[[1, 3], [2, 3], [6, 2], [8, 1], [11, 1]], 5/38016], [[[1, 3], [2, 3], [6, 2], [8, 1], [22, 1]], 19/456192], [[[1, 3], [2, 3], [6, 2], [8, 2], [18, 1]], 1/13824], [[[1, 3], [2, 3], [6, 2], [10, 1], [22, 1]], 1/31680], [[[1, 3], [2, 3], [6, 2], [10, 2], [14, 1]], 1/100800], [[[1, 3], [2, 3], [6, 2], [10, 2], [18, 1]], 1/21600], [[[1, 3], [2, 3], [6, 2], [12, 1], [22, 1]], 1/25344], [[[1, 3], [2, 3], [6, 3], [8, 1], [10, 2]], 7/24883200], [[[1, 3], [2, 3], [6, 4], [8, 1], [14, 1]], 1/1492992], [[[1, 3], [2, 3], [6, 4], [8, 1], [18, 1]], 83/4478976], [[[1, 3], [2, 3], [6, 4], [10, 1], [14, 1]], 1/1451520], [[[1, 3], [2, 3], [6, 4], [10, 1], [18, 1]], 13/933120], [[[1, 3], [2, 3], [6, 4], [12, 1], [18, 1]], 1/62208], [[[1, 3], [2, 3], [6, 5], [8, 1], [10, 1]], 1/22394880], [[[1, 3], [2, 3], [6, 5], [8, 1], [12, 1]], 1/8957952], [[[1, 3], [2, 3], [8, 1], [10, 1], [11, 1]], 1/3520], [[[1, 3], [2, 3], [8, 1], [10, 1], [22, 1]], 13/42240], [[[1, 3], [2, 3], [8, 1], [10, 2], [14, 1]], 13/134400], [[[1, 3], [2, 3], [8, 1], [10, 2], [18, 1]], 7/345600], [[[1, 3], [2, 3], [8, 2], [10, 1], [14, 1]], 1/17920], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 6]], 5395/483729408], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 3]], 1/36864], [[[1, 3], [2, 5], [3, 1], [4, 1], [9, 2]], 61/7464960], [[[1, 3], [2, 5], [3, 1], [4, 1], [10, 3]], 1/16000], [[[1, 3], [2, 5], [3, 1], [4, 1], [14, 2]], 5/28224], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 5]], 145/11943936], [[[1, 3], [2, 5], [3, 1], [4, 2], [22, 1]], 23/101376], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 4]], 983/71663616], [[[1, 3], [2, 5], [3, 1], [4, 3], [8, 2]], 7/147456], [[[1, 3], [2, 5], [3, 1], [4, 3], [10, 2]], 11/552960], [[[1, 3], [2, 5], [3, 1], [4, 3], [12, 2]], 1/73728], [[[1, 3], [2, 5], [3, 1], [4, 4], [6, 3]], 541/47775744], [[[1, 3], [2, 5], [3, 1], [4, 4], [7, 1]], 1/3096576], [[[1, 3], [2, 5], [3, 1], [4, 4], [9, 1]], 1/1327104], [[[1, 3], [2, 5], [3, 1], [4, 4], [14, 1]], 13/774144], [[[1, 3], [2, 5], [3, 1], [4, 5], [5, 1]], 1/4423680], [[[1, 3], [2, 5], [3, 1], [4, 5], [6, 2]], 23/2359296], [[[1, 3], [2, 5], [3, 1], [4, 5], [8, 1]], 7/884736], [[[1, 3], [2, 5], [3, 1], [4, 5], [10, 1]], 1/1105920], [[[1, 3], [2, 5], [3, 1], [4, 5], [12, 1]], 5/1179648], [[[1, 3], [2, 5], [3, 1], [4, 6], [6, 1]], 1/1769472], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 5]], 1/279936], [[[1, 3], [2, 5], [3, 1], [5, 1], [11, 1]], 1/253440], [[[1, 3], [2, 5], [3, 1], [5, 2], [6, 3]], 1/460800], [[[1, 3], [2, 5], [3, 1], [5, 2], [7, 1]], 1/806400], [[[1, 3], [2, 5], [3, 1], [5, 2], [9, 1]], 1/2073600], [[[1, 3], [2, 5], [3, 1], [5, 3], [6, 1]], 1/288000], [[[1, 3], [2, 5], [3, 1], [6, 1], [9, 2]], 1/93312], [[[1, 3], [2, 5], [3, 1], [6, 1], [10, 3]], 17/72000], [[[1, 3], [2, 5], [3, 1], [6, 1], [14, 2]], 5/28224], [[[1, 3], [2, 5], [3, 1], [6, 1], [18, 2]], 1/31104], [[[1, 3], [2, 5], [3, 1], [6, 2], [11, 1]], 97/2433024], [[[1, 3], [2, 5], [3, 1], [6, 2], [22, 1]], 127/456192], [[[1, 3], [2, 5], [3, 1], [6, 3], [8, 2]], 17/995328], [[[1, 3], [2, 5], [3, 1], [6, 3], [10, 2]], 4303/37324800], [[[1, 3], [2, 5], [3, 1], [6, 4], [14, 1]], 305/2239488], [[[1, 3], [2, 5], [3, 1], [6, 4], [18, 1]], 485/2239488], [[[1, 3], [2, 5], [3, 1], [6, 5], [8, 1]], 71/8957952], [[[1, 3], [2, 5], [3, 1], [6, 5], [10, 1]], 361/22394880], [[[1, 3], [2, 5], [3, 1], [6, 5], [12, 1]], 5/497664], [[[1, 3], [2, 5], [3, 1], [7, 1], [8, 2]], 1/129024], [[[1, 3], [2, 5], [3, 1], [8, 1], [11, 1]], 1/67584], [[[1, 3], [2, 5], [3, 1], [8, 1], [22, 1]], 5/101376], [[[1, 3], [2, 5], [3, 1], [8, 2], [9, 1]], 1/55296], [[[1, 3], [2, 5], [3, 1], [8, 2], [14, 1]], 1/32256], [[[1, 3], [2, 5], [3, 1], [10, 1], [22, 1]], 1/5760], [[[1, 3], [2, 5], [3, 1], [10, 2], [14, 1]], 1/13440], [[[1, 3], [2, 5], [3, 1], [10, 2], [18, 1]], 7/518400], [[[1, 3], [2, 5], [3, 1], [11, 1], [12, 1]], 1/405504], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 5]], 18689/429981696], [[[1, 3], [2, 5], [3, 2], [4, 1], [11, 1]], 61/18247680], [[[1, 3], [2, 5], [3, 2], [4, 1], [22, 1]], 7/152064], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 4]], 2407/35831808], [[[1, 3], [2, 5], [3, 2], [4, 2], [8, 2]], 31/1327104], [[[1, 3], [2, 5], [3, 2], [4, 2], [10, 2]], 19/1382400], [[[1, 3], [2, 5], [3, 2], [4, 3], [6, 3]], 205/2985984], [[[1, 3], [2, 5], [3, 2], [4, 3], [9, 1]], 409/59719680], [[[1, 3], [2, 5], [3, 2], [4, 3], [14, 1]], 1/55296], [[[1, 3], [2, 5], [3, 2], [4, 4], [6, 2]], 85/5308416], [[[1, 3], [2, 5], [3, 2], [4, 4], [8, 1]], 7/442368], [[[1, 3], [2, 5], [3, 2], [4, 4], [10, 1]], 1/552960], [[[1, 3], [2, 5], [3, 2], [4, 4], [12, 1]], 1/331776], [[[1, 3], [2, 5], [3, 2], [4, 5], [6, 1]], 17/21233664], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 4]], 67/3732480], [[[1, 3], [2, 5], [3, 2], [5, 1], [10, 2]], 1/14400], [[[1, 3], [2, 5], [3, 2], [5, 2], [6, 2]], 109/3317760], [[[1, 3], [2, 5], [3, 2], [5, 2], [8, 1]], 1/1382400], [[[1, 3], [2, 5], [3, 2], [5, 2], [10, 1]], 1/57600], [[[1, 3], [2, 5], [3, 2], [5, 2], [12, 1]], 1/2764800], [[[1, 3], [2, 5], [3, 2], [6, 1], [11, 1]], 19/912384], [[[1, 3], [2, 5], [3, 2], [6, 1], [22, 1]], 505/3649536], [[[1, 3], [2, 5], [3, 2], [6, 2], [8, 2]], 17/331776], [[[1, 3], [2, 5], [3, 2], [6, 2], [10, 2]], 1961/4976640], [[[1, 3], [2, 5], [3, 2], [6, 3], [7, 1]], 1/193536], [[[1, 3], [2, 5], [3, 2], [6, 3], [9, 1]], 7/248832], [[[1, 3], [2, 5], [3, 2], [6, 3], [14, 1]], 11887/31352832], [[[1, 3], [2, 5], [3, 2], [6, 3], [18, 1]], 12409/26873856], [[[1, 3], [2, 5], [3, 2], [6, 4], [8, 1]], 1505/13436928], [[[1, 3], [2, 5], [3, 2], [6, 4], [10, 1]], 239/1399680], [[[1, 3], [2, 5], [3, 2], [6, 4], [12, 1]], 521/4478976], [[[1, 3], [2, 5], [3, 2], [7, 1], [9, 1]], 1/870912], [[[1, 3], [2, 5], [3, 2], [8, 1], [10, 2]], 1/69120], [[[1, 3], [2, 5], [3, 2], [14, 1], [18, 1]], 1/108864], [[[1, 3], [2, 5], [3, 3], [4, 1], [5, 2]], 7/331776000], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 4]], 22829/214990848], [[[1, 3], [2, 5], [3, 3], [4, 1], [8, 2]], 7/1990656], [[[1, 3], [2, 5], [3, 3], [4, 1], [10, 2]], 1/172800], [[[1, 3], [2, 5], [3, 3], [4, 2], [6, 3]], 11/186624], [[[1, 3], [2, 5], [3, 3], [4, 2], [7, 1]], 1/13934592], [[[1, 3], [2, 5], [3, 3], [4, 3], [5, 1]], 1/19906560], [[[1, 3], [2, 5], [3, 3], [4, 3], [6, 2]], 659/71663616], [[[1, 3], [2, 5], [3, 3], [4, 3], [8, 1]], 23/21233664], [[[1, 3], [2, 5], [3, 3], [4, 3], [10, 1]], 1/3981312], [[[1, 3], [2, 5], [3, 3], [4, 3], [12, 1]], 1/3981312], [[[1, 3], [2, 5], [3, 3], [4, 4], [6, 1]], 7/5971968], [[[1, 3], [2, 5], [3, 3], [5, 1], [6, 3]], 11/184320], [[[1, 3], [2, 5], [3, 3], [5, 1], [7, 1]], 5/13934592], [[[1, 3], [2, 5], [3, 3], [5, 1], [9, 1]], 1/622080], [[[1, 3], [2, 5], [3, 3], [5, 2], [6, 1]], 1/37324800], [[[1, 3], [2, 5], [3, 3], [6, 1], [8, 2]], 1/331776], [[[1, 3], [2, 5], [3, 3], [6, 1], [10, 2]], 127/4147200], [[[1, 3], [2, 5], [3, 3], [6, 2], [7, 1]], 65/6967296], [[[1, 3], [2, 5], [3, 3], [6, 2], [9, 1]], 857/17915904], [[[1, 3], [2, 5], [3, 3], [6, 2], [14, 1]], 71/1741824], [[[1, 3], [2, 5], [3, 3], [6, 2], [18, 1]], 49/2239488], [[[1, 3], [2, 5], [3, 3], [6, 3], [8, 1]], 73/746496], [[[1, 3], [2, 5], [3, 3], [6, 3], [10, 1]], 383/1492992], [[[1, 3], [2, 5], [3, 3], [6, 3], [12, 1]], 13/746496], [[[1, 3], [2, 5], [3, 3], [7, 1], [8, 1]], 25/13934592], [[[1, 3], [2, 5], [3, 3], [7, 1], [12, 1]], 1/1161216], [[[1, 3], [2, 5], [3, 3], [8, 1], [9, 1]], 5/497664], [[[1, 3], [2, 5], [3, 3], [9, 1], [12, 1]], 1/331776], [[[1, 3], [2, 5], [3, 4], [4, 1], [6, 3]], 5801/143327232], [[[1, 3], [2, 5], [3, 4], [4, 1], [7, 1]], 31/418037760], [[[1, 3], [2, 5], [3, 4], [4, 1], [9, 1]], 53/35831808], [[[1, 3], [2, 5], [3, 4], [4, 2], [5, 1]], 1/29859840], [[[1, 3], [2, 5], [3, 4], [4, 2], [6, 2]], 53/3981312], [[[1, 3], [2, 5], [3, 4], [4, 2], [8, 1]], 1/2654208], [[[1, 3], [2, 5], [3, 4], [4, 3], [6, 1]], 17/23887872], [[[1, 3], [2, 5], [3, 4], [5, 1], [6, 2]], 91/11197440], [[[1, 3], [2, 5], [3, 4], [5, 1], [8, 1]], 1/29859840], [[[1, 3], [2, 5], [3, 4], [5, 1], [10, 1]], 13/29859840], [[[1, 3], [2, 5], [3, 4], [6, 1], [7, 1]], 1/15676416], [[[1, 3], [2, 5], [3, 4], [6, 1], [9, 1]], 61/6718464], [[[1, 3], [2, 5], [3, 4], [6, 1], [14, 1]], 1/870912], [[[1, 3], [2, 5], [3, 4], [6, 2], [8, 1]], 121/8957952], [[[1, 3], [2, 5], [3, 4], [6, 2], [10, 1]], 23/1244160], [[[1, 3], [2, 5], [3, 4], [6, 2], [12, 1]], 11/1492992], [[[1, 3], [2, 5], [3, 5], [4, 1], [5, 1]], 11/895795200], [[[1, 3], [2, 5], [3, 5], [4, 1], [6, 2]], 5051/2149908480], [[[1, 3], [2, 5], [3, 5], [4, 1], [8, 1]], 1/17915904], [[[1, 3], [2, 5], [3, 5], [4, 1], [12, 1]], 1/358318080], [[[1, 3], [2, 5], [3, 5], [4, 2], [6, 1]], 1/17915904], [[[1, 3], [2, 5], [3, 5], [5, 1], [6, 1]], 1/44789760], [[[1, 3], [2, 5], [3, 5], [6, 1], [8, 1]], 11/13436928], [[[1, 3], [2, 5], [3, 5], [6, 1], [12, 1]], 1/2985984], [[[1, 3], [2, 5], [3, 6], [4, 1], [6, 1]], 1/53747712], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 5]], 23/7464960], [[[1, 3], [2, 5], [4, 1], [5, 1], [11, 1]], 41/1689600], [[[1, 3], [2, 5], [4, 1], [5, 1], [22, 1]], 7/84480], [[[1, 3], [2, 5], [4, 1], [5, 2], [7, 1]], 41/5376000], [[[1, 3], [2, 5], [4, 1], [5, 2], [9, 1]], 7/4608000], [[[1, 3], [2, 5], [4, 1], [5, 3], [6, 1]], 1/192000], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 3]], 1/12288], [[[1, 3], [2, 5], [4, 1], [6, 1], [10, 3]], 3/32000], [[[1, 3], [2, 5], [4, 1], [6, 1], [14, 2]], 13/56448], [[[1, 3], [2, 5], [4, 1], [6, 1], [18, 2]], 109/746496], [[[1, 3], [2, 5], [4, 1], [6, 2], [11, 1]], 5/152064], [[[1, 3], [2, 5], [4, 1], [6, 2], [22, 1]], 337/1824768], [[[1, 3], [2, 5], [4, 1], [6, 3], [8, 2]], 31/1990656], [[[1, 3], [2, 5], [4, 1], [6, 3], [10, 2]], 2369/99532800], [[[1, 3], [2, 5], [4, 1], [6, 3], [12, 2]], 1/82944], [[[1, 3], [2, 5], [4, 1], [6, 4], [14, 1]], 1607/41803776], [[[1, 3], [2, 5], [4, 1], [6, 4], [18, 1]], 2261/17915904], [[[1, 3], [2, 5], [4, 1], [6, 5], [8, 1]], 17/17915904], [[[1, 3], [2, 5], [4, 1], [6, 5], [10, 1]], 109/89579520], [[[1, 3], [2, 5], [4, 1], [6, 5], [12, 1]], 187/35831808], [[[1, 3], [2, 5], [4, 1], [7, 1], [8, 2]], 1/86016], [[[1, 3], [2, 5], [4, 1], [8, 1], [11, 1]], 1/22528], [[[1, 3], [2, 5], [4, 1], [8, 1], [22, 1]], 1/3072], [[[1, 3], [2, 5], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 3], [2, 5], [4, 1], [8, 2], [14, 1]], 5/14336], [[[1, 3], [2, 5], [4, 1], [8, 2], [18, 1]], 1/27648], [[[1, 3], [2, 5], [4, 1], [10, 1], [11, 1]], 13/506880], [[[1, 3], [2, 5], [4, 1], [10, 1], [22, 1]], 27/56320], [[[1, 3], [2, 5], [4, 1], [10, 2], [14, 1]], 277/537600], [[[1, 3], [2, 5], [4, 1], [10, 2], [18, 1]], 161/1382400], [[[1, 3], [2, 5], [4, 1], [11, 1], [12, 1]], 1/304128], [[[1, 3], [2, 5], [4, 1], [12, 1], [22, 1]], 1/50688], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 4]], 7/933120], [[[1, 3], [2, 5], [4, 2], [5, 1], [8, 2]], 1/8192], [[[1, 3], [2, 5], [4, 2], [5, 1], [10, 2]], 269/768000], [[[1, 3], [2, 5], [4, 2], [5, 2], [6, 2]], 1/230400], [[[1, 3], [2, 5], [4, 2], [5, 2], [8, 1]], 1/25600], [[[1, 3], [2, 5], [4, 2], [5, 2], [10, 1]], 73/512000], [[[1, 3], [2, 5], [4, 2], [5, 2], [12, 1]], 1/230400], [[[1, 3], [2, 5], [4, 2], [6, 1], [11, 1]], 5/101376], [[[1, 3], [2, 5], [4, 2], [6, 1], [22, 1]], 25/101376], [[[1, 3], [2, 5], [4, 2], [6, 2], [8, 2]], 71/221184], [[[1, 3], [2, 5], [4, 2], [6, 2], [10, 2]], 79/921600], [[[1, 3], [2, 5], [4, 2], [6, 2], [12, 2]], 1/41472], [[[1, 3], [2, 5], [4, 2], [6, 3], [14, 1]], 53/663552], [[[1, 3], [2, 5], [4, 2], [6, 3], [18, 1]], 125/746496], [[[1, 3], [2, 5], [4, 2], [6, 4], [8, 1]], 3571/71663616], [[[1, 3], [2, 5], [4, 2], [6, 4], [10, 1]], 23/933120], [[[1, 3], [2, 5], [4, 2], [6, 4], [12, 1]], 319/8957952], [[[1, 3], [2, 5], [4, 2], [7, 1], [9, 1]], 1/193536], [[[1, 3], [2, 5], [4, 2], [8, 1], [10, 2]], 181/921600], [[[1, 3], [2, 5], [4, 2], [8, 2], [10, 1]], 7/20480], [[[1, 3], [2, 5], [4, 2], [8, 2], [12, 1]], 1/9216], [[[1, 3], [2, 5], [4, 2], [10, 2], [12, 1]], 41/230400], [[[1, 3], [2, 5], [4, 2], [14, 1], [18, 1]], 11/64512], [[[1, 3], [2, 5], [4, 3], [5, 1], [6, 3]], 49/19906560], [[[1, 3], [2, 5], [4, 3], [5, 1], [7, 1]], 409/77414400], [[[1, 3], [2, 5], [4, 3], [5, 1], [9, 1]], 1/276480], [[[1, 3], [2, 5], [4, 3], [5, 1], [14, 1]], 3/71680], [[[1, 3], [2, 5], [4, 3], [5, 1], [18, 1]], 1/276480], [[[1, 3], [2, 5], [4, 3], [6, 1], [8, 2]], 37/147456], [[[1, 3], [2, 5], [4, 3], [6, 1], [10, 2]], 163/2764800], [[[1, 3], [2, 5], [4, 3], [6, 1], [12, 2]], 1/221184], [[[1, 3], [2, 5], [4, 3], [6, 2], [7, 1]], 1/64512], [[[1, 3], [2, 5], [4, 3], [6, 2], [9, 1]], 1/497664], [[[1, 3], [2, 5], [4, 3], [6, 2], [14, 1]], 1/32256], [[[1, 3], [2, 5], [4, 3], [6, 2], [18, 1]], 235/1990656], [[[1, 3], [2, 5], [4, 3], [6, 3], [8, 1]], 1337/21233664], [[[1, 3], [2, 5], [4, 3], [6, 3], [10, 1]], 541/29859840], [[[1, 3], [2, 5], [4, 3], [6, 3], [12, 1]], 299/5971968], [[[1, 3], [2, 5], [4, 3], [7, 1], [8, 1]], 1/43008], [[[1, 3], [2, 5], [4, 3], [7, 1], [10, 1]], 1/107520], [[[1, 3], [2, 5], [4, 3], [7, 1], [12, 1]], 1/64512], [[[1, 3], [2, 5], [4, 3], [8, 1], [9, 1]], 23/294912], [[[1, 3], [2, 5], [4, 3], [8, 1], [14, 1]], 73/516096], [[[1, 3], [2, 5], [4, 3], [8, 1], [18, 1]], 43/884736], [[[1, 3], [2, 5], [4, 3], [9, 1], [10, 1]], 1/55296], [[[1, 3], [2, 5], [4, 3], [9, 1], [12, 1]], 1/55296], [[[1, 3], [2, 5], [4, 3], [10, 1], [14, 1]], 337/2580480], [[[1, 3], [2, 5], [4, 3], [10, 1], [18, 1]], 13/414720], [[[1, 3], [2, 5], [4, 3], [12, 1], [14, 1]], 1/18432], [[[1, 3], [2, 5], [4, 3], [12, 1], [18, 1]], 1/165888], [[[1, 3], [2, 5], [4, 4], [5, 1], [6, 2]], 1/552960], [[[1, 3], [2, 5], [4, 4], [5, 1], [8, 1]], 1/15360], [[[1, 3], [2, 5], [4, 4], [5, 1], [10, 1]], 457/14745600], [[[1, 3], [2, 5], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 3], [2, 5], [4, 4], [6, 1], [9, 1]], 1/331776], [[[1, 3], [2, 5], [4, 4], [6, 1], [14, 1]], 125/6193152], [[[1, 3], [2, 5], [4, 4], [6, 1], [18, 1]], 191/7962624], [[[1, 3], [2, 5], [4, 4], [6, 2], [8, 1]], 41/663552], [[[1, 3], [2, 5], [4, 4], [6, 2], [10, 1]], 49/3317760], [[[1, 3], [2, 5], [4, 4], [6, 2], [12, 1]], 7/663552], [[[1, 3], [2, 5], [4, 4], [8, 1], [10, 1]], 11/122880], [[[1, 3], [2, 5], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 5], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 3], [2, 5], [4, 5], [5, 1], [6, 1]], 1/368640], [[[1, 3], [2, 5], [4, 5], [6, 1], [8, 1]], 403/5308416], [[[1, 3], [2, 5], [4, 5], [6, 1], [10, 1]], 53/4423680], [[[1, 3], [2, 5], [4, 5], [6, 1], [12, 1]], 49/3538944], [[[1, 3], [2, 5], [5, 1], [6, 1], [11, 1]], 1/63360], [[[1, 3], [2, 5], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 3], [2, 5], [5, 1], [6, 2], [10, 2]], 61/432000], [[[1, 3], [2, 5], [5, 1], [6, 3], [14, 1]], 7/311040], [[[1, 3], [2, 5], [5, 1], [6, 3], [18, 1]], 7/116640], [[[1, 3], [2, 5], [5, 1], [6, 4], [8, 1]], 1/622080], [[[1, 3], [2, 5], [5, 1], [6, 4], [10, 1]], 101/4976640], [[[1, 3], [2, 5], [5, 1], [6, 4], [12, 1]], 1/155520], [[[1, 3], [2, 5], [5, 1], [7, 1], [9, 1]], 1/967680], [[[1, 3], [2, 5], [5, 1], [8, 1], [10, 2]], 37/64000], [[[1, 3], [2, 5], [5, 1], [8, 2], [10, 1]], 1/6144], [[[1, 3], [2, 5], [5, 1], [14, 1], [18, 1]], 1/30240], [[[1, 3], [2, 5], [5, 2], [6, 1], [7, 1]], 1/201600], [[[1, 3], [2, 5], [5, 2], [6, 1], [9, 1]], 1/518400], [[[1, 3], [2, 5], [5, 2], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 5], [5, 2], [8, 1], [10, 1]], 7/38400], [[[1, 3], [2, 5], [6, 1], [8, 1], [11, 1]], 17/608256], [[[1, 3], [2, 5], [6, 1], [8, 1], [22, 1]], 145/912384], [[[1, 3], [2, 5], [6, 1], [8, 2], [14, 1]], 1/14336], [[[1, 3], [2, 5], [6, 1], [8, 2], [18, 1]], 5/55296], [[[1, 3], [2, 5], [6, 1], [10, 1], [22, 1]], 31/126720], [[[1, 3], [2, 5], [6, 1], [10, 2], [14, 1]], 23/80640], [[[1, 3], [2, 5], [6, 1], [10, 2], [18, 1]], 101/345600], [[[1, 3], [2, 5], [6, 1], [12, 1], [22, 1]], 1/67584], [[[1, 3], [2, 5], [6, 2], [8, 1], [10, 2]], 19/414720], [[[1, 3], [2, 5], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 5], [6, 2], [10, 2], [12, 1]], 7/153600], [[[1, 3], [2, 5], [6, 2], [14, 1], [18, 1]], 103/435456], [[[1, 3], [2, 5], [6, 3], [8, 1], [14, 1]], 299/14929920], [[[1, 3], [2, 5], [6, 3], [8, 1], [18, 1]], 665/6718464], [[[1, 3], [2, 5], [6, 3], [10, 1], [14, 1]], 617/11612160], [[[1, 3], [2, 5], [6, 3], [10, 1], [18, 1]], 151/933120], [[[1, 3], [2, 5], [6, 3], [12, 1], [14, 1]], 19/580608], [[[1, 3], [2, 5], [6, 3], [12, 1], [18, 1]], 25/497664], [[[1, 3], [2, 5], [6, 4], [8, 1], [10, 1]], 329/44789760], [[[1, 3], [2, 5], [6, 4], [8, 1], [12, 1]], 19/4478976], [[[1, 3], [2, 5], [6, 4], [10, 1], [12, 1]], 1/124416], [[[1, 3], [2, 5], [7, 1], [8, 1], [9, 1]], 1/193536], [[[1, 3], [2, 5], [8, 1], [14, 1], [18, 1]], 53/1451520], [[[1, 3], [2, 5], [10, 1], [14, 1], [18, 1]], 17/161280], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 5]], 43655/644972544], [[[1, 3], [2, 7], [3, 1], [4, 1], [11, 1]], 1/1520640], [[[1, 3], [2, 7], [3, 1], [4, 1], [22, 1]], 113/5474304], [[[1, 3], [2, 7], [3, 1], [4, 2], [5, 2]], 1/9216000], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 4]], 2489/31850496], [[[1, 3], [2, 7], [3, 1], [4, 2], [8, 2]], 1513/79626240], [[[1, 3], [2, 7], [3, 1], [4, 2], [10, 2]], 1093/11059200], [[[1, 3], [2, 7], [3, 1], [4, 3], [6, 3]], 165113/2149908480], [[[1, 3], [2, 7], [3, 1], [4, 3], [9, 1]], 1/4976640], [[[1, 3], [2, 7], [3, 1], [4, 3], [14, 1]], 1511/46448640], [[[1, 3], [2, 7], [3, 1], [4, 3], [18, 1]], 1/1327104], [[[1, 3], [2, 7], [3, 1], [4, 4], [6, 2]], 9119/318504960], [[[1, 3], [2, 7], [3, 1], [4, 4], [8, 1]], 1/131072], [[[1, 3], [2, 7], [3, 1], [4, 4], [10, 1]], 71/11059200], [[[1, 3], [2, 7], [3, 1], [4, 4], [12, 1]], 1/3538944], [[[1, 3], [2, 7], [3, 1], [4, 5], [6, 1]], 239/53084160], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 4]], 601/111974400], [[[1, 3], [2, 7], [3, 1], [5, 1], [10, 2]], 1/38400], [[[1, 3], [2, 7], [3, 1], [5, 2], [6, 2]], 107/221184000], [[[1, 3], [2, 7], [3, 1], [5, 2], [10, 1]], 1/460800], [[[1, 3], [2, 7], [3, 1], [5, 2], [12, 1]], 1/110592000], [[[1, 3], [2, 7], [3, 1], [6, 1], [11, 1]], 1/1105920], [[[1, 3], [2, 7], [3, 1], [6, 1], [22, 1]], 1747/36495360], [[[1, 3], [2, 7], [3, 1], [6, 2], [8, 2]], 1/82944], [[[1, 3], [2, 7], [3, 1], [6, 2], [10, 2]], 11957/24883200], [[[1, 3], [2, 7], [3, 1], [6, 3], [14, 1]], 8839/31352832], [[[1, 3], [2, 7], [3, 1], [6, 3], [18, 1]], 2087/8957952], [[[1, 3], [2, 7], [3, 1], [6, 4], [8, 1]], 22921/358318080], [[[1, 3], [2, 7], [3, 1], [6, 4], [10, 1]], 324223/1791590400], [[[1, 3], [2, 7], [3, 1], [6, 4], [12, 1]], 4703/119439360], [[[1, 3], [2, 7], [3, 1], [7, 1], [9, 1]], 1/34836480], [[[1, 3], [2, 7], [3, 1], [8, 1], [10, 2]], 221/13824000], [[[1, 3], [2, 7], [3, 1], [8, 2], [10, 1]], 1/460800], [[[1, 3], [2, 7], [3, 1], [14, 1], [18, 1]], 1/272160], [[[1, 3], [2, 7], [3, 2], [4, 1], [5, 2]], 1/55296000], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 4]], 153827/1074954240], [[[1, 3], [2, 7], [3, 2], [4, 1], [8, 2]], 1/884736], [[[1, 3], [2, 7], [3, 2], [4, 1], [10, 2]], 1/92160], [[[1, 3], [2, 7], [3, 2], [4, 2], [6, 3]], 90581/716636160], [[[1, 3], [2, 7], [3, 2], [4, 2], [7, 1]], 1/15482880], [[[1, 3], [2, 7], [3, 2], [4, 2], [9, 1]], 7/9953280], [[[1, 3], [2, 7], [3, 2], [4, 2], [14, 1]], 41/5806080], [[[1, 3], [2, 7], [3, 2], [4, 3], [6, 2]], 3593/89579520], [[[1, 3], [2, 7], [3, 2], [4, 3], [8, 1]], 211/53084160], [[[1, 3], [2, 7], [3, 2], [4, 3], [10, 1]], 7/1658880], [[[1, 3], [2, 7], [3, 2], [4, 3], [12, 1]], 1/6635520], [[[1, 3], [2, 7], [3, 2], [4, 4], [6, 1]], 149/53084160], [[[1, 3], [2, 7], [3, 2], [5, 1], [6, 3]], 881/199065600], [[[1, 3], [2, 7], [3, 2], [5, 1], [7, 1]], 1/116121600], [[[1, 3], [2, 7], [3, 2], [5, 1], [9, 1]], 1/24883200], [[[1, 3], [2, 7], [3, 2], [5, 2], [6, 1]], 1/8294400], [[[1, 3], [2, 7], [3, 2], [6, 1], [8, 2]], 1/1658880], [[[1, 3], [2, 7], [3, 2], [6, 1], [10, 2]], 97177/1990656000], [[[1, 3], [2, 7], [3, 2], [6, 2], [7, 1]], 107/92897280], [[[1, 3], [2, 7], [3, 2], [6, 2], [9, 1]], 127/39813120], [[[1, 3], [2, 7], [3, 2], [6, 2], [14, 1]], 105617/836075520], [[[1, 3], [2, 7], [3, 2], [6, 2], [18, 1]], 5959/119439360], [[[1, 3], [2, 7], [3, 2], [6, 3], [8, 1]], 80689/1074954240], [[[1, 3], [2, 7], [3, 2], [6, 3], [10, 1]], 58313/149299200], [[[1, 3], [2, 7], [3, 2], [6, 3], [12, 1]], 1721/119439360], [[[1, 3], [2, 7], [3, 2], [7, 1], [12, 1]], 1/46448640], [[[1, 3], [2, 7], [3, 2], [8, 1], [9, 1]], 1/7464960], [[[1, 3], [2, 7], [3, 2], [8, 1], [14, 1]], 1/580608], [[[1, 3], [2, 7], [3, 2], [9, 1], [12, 1]], 1/19906560], [[[1, 3], [2, 7], [3, 2], [10, 1], [14, 1]], 67/7257600], [[[1, 3], [2, 7], [3, 2], [10, 1], [18, 1]], 1/1555200], [[[1, 3], [2, 7], [3, 3], [4, 1], [6, 3]], 39311/537477120], [[[1, 3], [2, 7], [3, 3], [4, 1], [7, 1]], 19/418037760], [[[1, 3], [2, 7], [3, 3], [4, 1], [9, 1]], 11/29859840], [[[1, 3], [2, 7], [3, 3], [4, 1], [14, 1]], 1/1451520], [[[1, 3], [2, 7], [3, 3], [4, 2], [5, 1]], 13/398131200], [[[1, 3], [2, 7], [3, 3], [4, 2], [6, 2]], 2821/238878720], [[[1, 3], [2, 7], [3, 3], [4, 2], [8, 1]], 11/21233664], [[[1, 3], [2, 7], [3, 3], [4, 2], [12, 1]], 1/26542080], [[[1, 3], [2, 7], [3, 3], [4, 3], [6, 1]], 19/143327232], [[[1, 3], [2, 7], [3, 3], [5, 1], [6, 2]], 1/921600], [[[1, 3], [2, 7], [3, 3], [5, 1], [10, 1]], 751/1194393600], [[[1, 3], [2, 7], [3, 3], [6, 1], [7, 1]], 1/3483648], [[[1, 3], [2, 7], [3, 3], [6, 1], [9, 1]], 47/44789760], [[[1, 3], [2, 7], [3, 3], [6, 1], [14, 1]], 1/870912], [[[1, 3], [2, 7], [3, 3], [6, 1], [18, 1]], 1/5598720], [[[1, 3], [2, 7], [3, 3], [6, 2], [8, 1]], 373/71663616], [[[1, 3], [2, 7], [3, 3], [6, 2], [10, 1]], 9469/597196800], [[[1, 3], [2, 7], [3, 3], [6, 2], [12, 1]], 61/119439360], [[[1, 3], [2, 7], [3, 4], [4, 1], [5, 1]], 1/895795200], [[[1, 3], [2, 7], [3, 4], [4, 1], [6, 2]], 53/39813120], [[[1, 3], [2, 7], [3, 4], [4, 1], [8, 1]], 1/89579520], [[[1, 3], [2, 7], [3, 4], [4, 2], [6, 1]], 7/159252480], [[[1, 3], [2, 7], [3, 4], [5, 1], [6, 1]], 1/1791590400], [[[1, 3], [2, 7], [3, 4], [6, 1], [8, 1]], 1/71663616], [[[1, 3], [2, 7], [3, 4], [6, 1], [10, 1]], 1/12441600], [[[1, 3], [2, 7], [3, 4], [6, 1], [12, 1]], 1/119439360], [[[1, 3], [2, 7], [3, 5], [4, 1], [6, 1]], 37/1074954240], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 4]], 259/37324800], [[[1, 3], [2, 7], [4, 1], [5, 1], [8, 2]], 1/245760], [[[1, 3], [2, 7], [4, 1], [5, 1], [10, 2]], 3241/11520000], [[[1, 3], [2, 7], [4, 1], [5, 2], [8, 1]], 13/36864000], [[[1, 3], [2, 7], [4, 1], [5, 2], [10, 1]], 151/10368000], [[[1, 3], [2, 7], [4, 1], [6, 1], [11, 1]], 7/3041280], [[[1, 3], [2, 7], [4, 1], [6, 1], [22, 1]], 11/82944], [[[1, 3], [2, 7], [4, 1], [6, 2], [8, 2]], 223/2654208], [[[1, 3], [2, 7], [4, 1], [6, 2], [10, 2]], 1129/3686400], [[[1, 3], [2, 7], [4, 1], [6, 2], [12, 2]], 1/829440], [[[1, 3], [2, 7], [4, 1], [6, 3], [14, 1]], 11317/59719680], [[[1, 3], [2, 7], [4, 1], [6, 3], [18, 1]], 11653/53747712], [[[1, 3], [2, 7], [4, 1], [6, 4], [8, 1]], 9899/179159040], [[[1, 3], [2, 7], [4, 1], [6, 4], [10, 1]], 72679/895795200], [[[1, 3], [2, 7], [4, 1], [6, 4], [12, 1]], 1651/44789760], [[[1, 3], [2, 7], [4, 1], [7, 1], [9, 1]], 1/5806080], [[[1, 3], [2, 7], [4, 1], [8, 1], [10, 2]], 259/819200], [[[1, 3], [2, 7], [4, 1], [8, 2], [10, 1]], 29/245760], [[[1, 3], [2, 7], [4, 1], [10, 2], [12, 1]], 161/6912000], [[[1, 3], [2, 7], [4, 1], [14, 1], [18, 1]], 269/5806080], [[[1, 3], [2, 7], [4, 2], [5, 1], [6, 3]], 1873/149299200], [[[1, 3], [2, 7], [4, 2], [5, 1], [7, 1]], 19/25804800], [[[1, 3], [2, 7], [4, 2], [5, 1], [9, 1]], 1/5529600], [[[1, 3], [2, 7], [4, 2], [5, 1], [14, 1]], 1/67200], [[[1, 3], [2, 7], [4, 2], [5, 1], [18, 1]], 1/2073600], [[[1, 3], [2, 7], [4, 2], [5, 2], [6, 1]], 11/18432000], [[[1, 3], [2, 7], [4, 2], [6, 1], [8, 2]], 65/589824], [[[1, 3], [2, 7], [4, 2], [6, 1], [10, 2]], 553/1843200], [[[1, 3], [2, 7], [4, 2], [6, 1], [12, 2]], 1/1658880], [[[1, 3], [2, 7], [4, 2], [6, 2], [14, 1]], 11017/46448640], [[[1, 3], [2, 7], [4, 2], [6, 2], [18, 1]], 11/51840], [[[1, 3], [2, 7], [4, 2], [6, 3], [8, 1]], 417719/2866544640], [[[1, 3], [2, 7], [4, 2], [6, 3], [10, 1]], 180557/1194393600], [[[1, 3], [2, 7], [4, 2], [6, 3], [12, 1]], 45209/716636160], [[[1, 3], [2, 7], [4, 2], [7, 1], [8, 1]], 13/10321920], [[[1, 3], [2, 7], [4, 2], [8, 1], [9, 1]], 7/1474560], [[[1, 3], [2, 7], [4, 2], [8, 1], [14, 1]], 5101/30965760], [[[1, 3], [2, 7], [4, 2], [8, 1], [18, 1]], 37/1474560], [[[1, 3], [2, 7], [4, 2], [10, 1], [14, 1]], 9383/25804800], [[[1, 3], [2, 7], [4, 2], [10, 1], [18, 1]], 737/16588800], [[[1, 3], [2, 7], [4, 2], [12, 1], [14, 1]], 19/967680], [[[1, 3], [2, 7], [4, 2], [12, 1], [18, 1]], 1/1244160], [[[1, 3], [2, 7], [4, 3], [5, 1], [6, 2]], 1/103680], [[[1, 3], [2, 7], [4, 3], [5, 1], [8, 1]], 1919/132710400], [[[1, 3], [2, 7], [4, 3], [5, 1], [10, 1]], 8593/199065600], [[[1, 3], [2, 7], [4, 3], [6, 1], [7, 1]], 11/5160960], [[[1, 3], [2, 7], [4, 3], [6, 1], [9, 1]], 11/3981312], [[[1, 3], [2, 7], [4, 3], [6, 1], [14, 1]], 211/1720320], [[[1, 3], [2, 7], [4, 3], [6, 1], [18, 1]], 343/6635520], [[[1, 3], [2, 7], [4, 3], [6, 2], [8, 1]], 431/3538944], [[[1, 3], [2, 7], [4, 3], [6, 2], [10, 1]], 11623/99532800], [[[1, 3], [2, 7], [4, 3], [6, 2], [12, 1]], 937/39813120], [[[1, 3], [2, 7], [4, 3], [8, 1], [10, 1]], 1717/14745600], [[[1, 3], [2, 7], [4, 3], [8, 1], [12, 1]], 293/19906560], [[[1, 3], [2, 7], [4, 3], [10, 1], [12, 1]], 1/55296], [[[1, 3], [2, 7], [4, 4], [5, 1], [6, 1]], 7/2211840], [[[1, 3], [2, 7], [4, 4], [6, 1], [8, 1]], 3449/53084160], [[[1, 3], [2, 7], [4, 4], [6, 1], [10, 1]], 1301/33177600], [[[1, 3], [2, 7], [4, 4], [6, 1], [12, 1]], 103/26542080], [[[1, 3], [2, 7], [5, 1], [6, 1], [10, 2]], 1637/6912000], [[[1, 3], [2, 7], [5, 1], [6, 2], [14, 1]], 83/3628800], [[[1, 3], [2, 7], [5, 1], [6, 2], [18, 1]], 1/43200], [[[1, 3], [2, 7], [5, 1], [6, 3], [8, 1]], 1/311040], [[[1, 3], [2, 7], [5, 1], [6, 3], [10, 1]], 123139/1990656000], [[[1, 3], [2, 7], [5, 1], [6, 3], [12, 1]], 1/414720], [[[1, 3], [2, 7], [5, 1], [7, 1], [8, 1]], 1/9676800], [[[1, 3], [2, 7], [5, 1], [8, 1], [14, 1]], 1/268800], [[[1, 3], [2, 7], [5, 1], [9, 1], [10, 1]], 31/16588800], [[[1, 3], [2, 7], [5, 1], [10, 1], [14, 1]], 73/1344000], [[[1, 3], [2, 7], [5, 1], [10, 1], [18, 1]], 179/27648000], [[[1, 3], [2, 7], [5, 2], [6, 1], [10, 1]], 1/69120], [[[1, 3], [2, 7], [6, 1], [8, 1], [10, 2]], 1219/8294400], [[[1, 3], [2, 7], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 7], [6, 1], [10, 2], [12, 1]], 593/36864000], [[[1, 3], [2, 7], [6, 1], [14, 1], [18, 1]], 2507/34836480], [[[1, 3], [2, 7], [6, 2], [8, 1], [14, 1]], 127/1088640], [[[1, 3], [2, 7], [6, 2], [8, 1], [18, 1]], 1273/13436928], [[[1, 3], [2, 7], [6, 2], [10, 1], [14, 1]], 3779/12902400], [[[1, 3], [2, 7], [6, 2], [10, 1], [18, 1]], 6271/24883200], [[[1, 3], [2, 7], [6, 2], [12, 1], [14, 1]], 1307/46448640], [[[1, 3], [2, 7], [6, 2], [12, 1], [18, 1]], 41/6635520], [[[1, 3], [2, 7], [6, 3], [8, 1], [10, 1]], 172421/3135283200], [[[1, 3], [2, 7], [6, 3], [8, 1], [12, 1]], 113/29859840], [[[1, 3], [2, 7], [6, 3], [10, 1], [12, 1]], 49/1658880], [[[1, 3], [2, 7], [8, 1], [10, 1], [14, 1]], 13247/87091200], [[[1, 3], [2, 7], [8, 1], [10, 1], [18, 1]], 221/43545600], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 4]], 21085501/270888468480], [[[1, 3], [2, 9], [3, 1], [4, 1], [8, 2]], 29/278691840], [[[1, 3], [2, 9], [3, 1], [4, 1], [10, 2]], 1187/72576000], [[[1, 3], [2, 9], [3, 1], [4, 2], [6, 3]], 907/14929920], [[[1, 3], [2, 9], [3, 1], [4, 2], [7, 1]], 1/61931520], [[[1, 3], [2, 9], [3, 1], [4, 2], [9, 1]], 1/26542080], [[[1, 3], [2, 9], [3, 1], [4, 2], [14, 1]], 1339/139345920], [[[1, 3], [2, 9], [3, 1], [4, 2], [18, 1]], 1/9289728], [[[1, 3], [2, 9], [3, 1], [4, 3], [5, 1]], 1/41287680], [[[1, 3], [2, 9], [3, 1], [4, 3], [6, 2]], 1062301/48157949952], [[[1, 3], [2, 9], [3, 1], [4, 3], [8, 1]], 1579/557383680], [[[1, 3], [2, 9], [3, 1], [4, 3], [10, 1]], 23/3483648], [[[1, 3], [2, 9], [3, 1], [4, 3], [12, 1]], 67/1486356480], [[[1, 3], [2, 9], [3, 1], [4, 4], [6, 1]], 42841/13377208320], [[[1, 3], [2, 9], [3, 1], [5, 1], [6, 3]], 289/223948800], [[[1, 3], [2, 9], [3, 1], [5, 2], [6, 1]], 1/331776000], [[[1, 3], [2, 9], [3, 1], [6, 1], [8, 2]], 29/92897280], [[[1, 3], [2, 9], [3, 1], [6, 1], [10, 2]], 52543/653184000], [[[1, 3], [2, 9], [3, 1], [6, 2], [14, 1]], 281773/4389396480], [[[1, 3], [2, 9], [3, 1], [6, 2], [18, 1]], 1289/69672960], [[[1, 3], [2, 9], [3, 1], [6, 3], [8, 1]], 235673/10032906240], [[[1, 3], [2, 9], [3, 1], [6, 3], [10, 1]], 996697/6270566400], [[[1, 3], [2, 9], [3, 1], [6, 3], [12, 1]], 73/17418240], [[[1, 3], [2, 9], [3, 1], [8, 1], [14, 1]], 23/27869184], [[[1, 3], [2, 9], [3, 1], [8, 1], [18, 1]], 1/139345920], [[[1, 3], [2, 9], [3, 1], [10, 1], [14, 1]], 89/8709120], [[[1, 3], [2, 9], [3, 1], [10, 1], [18, 1]], 1/4838400], [[[1, 3], [2, 9], [3, 2], [4, 1], [6, 3]], 34351/836075520], [[[1, 3], [2, 9], [3, 2], [4, 1], [9, 1]], 1/159252480], [[[1, 3], [2, 9], [3, 2], [4, 1], [14, 1]], 127/209018880], [[[1, 3], [2, 9], [3, 2], [4, 1], [18, 1]], 1/209018880], [[[1, 3], [2, 9], [3, 2], [4, 2], [6, 2]], 21857/1672151040], [[[1, 3], [2, 9], [3, 2], [4, 2], [8, 1]], 1/20643840], [[[1, 3], [2, 9], [3, 2], [4, 2], [10, 1]], 53/116121600], [[[1, 3], [2, 9], [3, 2], [4, 3], [6, 1]], 2129/2229534720], [[[1, 3], [2, 9], [3, 2], [5, 1], [6, 2]], 17/464486400], [[[1, 3], [2, 9], [3, 2], [5, 1], [10, 1]], 13/597196800], [[[1, 3], [2, 9], [3, 2], [6, 1], [7, 1]], 1/139345920], [[[1, 3], [2, 9], [3, 2], [6, 1], [9, 1]], 1/59719680], [[[1, 3], [2, 9], [3, 2], [6, 1], [14, 1]], 7349/2508226560], [[[1, 3], [2, 9], [3, 2], [6, 1], [18, 1]], 157/940584960], [[[1, 3], [2, 9], [3, 2], [6, 2], [8, 1]], 14995/6019743744], [[[1, 3], [2, 9], [3, 2], [6, 2], [10, 1]], 22847/627056640], [[[1, 3], [2, 9], [3, 2], [6, 2], [12, 1]], 11/209018880], [[[1, 3], [2, 9], [3, 2], [8, 1], [10, 1]], 1/17418240], [[[1, 3], [2, 9], [3, 3], [4, 1], [6, 2]], 51941/30098718720], [[[1, 3], [2, 9], [3, 3], [4, 1], [8, 1]], 1/3822059520], [[[1, 3], [2, 9], [3, 3], [4, 1], [10, 1]], 1/43545600], [[[1, 3], [2, 9], [3, 3], [4, 2], [6, 1]], 313/1672151040], [[[1, 3], [2, 9], [3, 3], [6, 1], [8, 1]], 1/1114767360], [[[1, 3], [2, 9], [3, 3], [6, 1], [10, 1]], 671/3135283200], [[[1, 3], [2, 9], [3, 4], [4, 1], [6, 1]], 13/10032906240], [[[1, 3], [2, 9], [4, 1], [5, 1], [6, 3]], 27971/8360755200], [[[1, 3], [2, 9], [4, 1], [5, 1], [7, 1]], 1/206438400], [[[1, 3], [2, 9], [4, 1], [5, 1], [14, 1]], 17/12902400], [[[1, 3], [2, 9], [4, 1], [5, 1], [18, 1]], 1/38707200], [[[1, 3], [2, 9], [4, 1], [6, 1], [8, 2]], 769/79626240], [[[1, 3], [2, 9], [4, 1], [6, 1], [10, 2]], 52081/248832000], [[[1, 3], [2, 9], [4, 1], [6, 1], [12, 2]], 1/92897280], [[[1, 3], [2, 9], [4, 1], [6, 2], [14, 1]], 8147/69672960], [[[1, 3], [2, 9], [4, 1], [6, 2], [18, 1]], 466481/7524679680], [[[1, 3], [2, 9], [4, 1], [6, 3], [8, 1]], 967241/20065812480], [[[1, 3], [2, 9], [4, 1], [6, 3], [10, 1]], 1784507/12541132800], [[[1, 3], [2, 9], [4, 1], [6, 3], [12, 1]], 9509/836075520], [[[1, 3], [2, 9], [4, 1], [8, 1], [9, 1]], 1/53084160], [[[1, 3], [2, 9], [4, 1], [8, 1], [14, 1]], 113/6193152], [[[1, 3], [2, 9], [4, 1], [8, 1], [18, 1]], 233/278691840], [[[1, 3], [2, 9], [4, 1], [10, 1], [14, 1]], 965099/9754214400], [[[1, 3], [2, 9], [4, 1], [10, 1], [18, 1]], 1103/174182400], [[[1, 3], [2, 9], [4, 1], [12, 1], [14, 1]], 43/69672960], [[[1, 3], [2, 9], [4, 1], [12, 1], [18, 1]], 1/69672960], [[[1, 3], [2, 9], [4, 2], [5, 1], [6, 2]], 1453/522547200], [[[1, 3], [2, 9], [4, 2], [5, 1], [8, 1]], 121/464486400], [[[1, 3], [2, 9], [4, 2], [5, 1], [10, 1]], 4009/516096000], [[[1, 3], [2, 9], [4, 2], [6, 1], [14, 1]], 15247/185794560], [[[1, 3], [2, 9], [4, 2], [6, 1], [18, 1]], 341/12386304], [[[1, 3], [2, 9], [4, 2], [6, 2], [8, 1]], 94259/1672151040], [[[1, 3], [2, 9], [4, 2], [6, 2], [10, 1]], 209509/1393459200], [[[1, 3], [2, 9], [4, 2], [6, 2], [12, 1]], 8579/1003290624], [[[1, 3], [2, 9], [4, 2], [8, 1], [10, 1]], 277/4838400], [[[1, 3], [2, 9], [4, 2], [8, 1], [12, 1]], 29/139345920], [[[1, 3], [2, 9], [4, 2], [10, 1], [12, 1]], 383/174182400], [[[1, 3], [2, 9], [4, 3], [5, 1], [6, 1]], 193/199065600], [[[1, 3], [2, 9], [4, 3], [6, 1], [8, 1]], 26767/1114767360], [[[1, 3], [2, 9], [4, 3], [6, 1], [10, 1]], 49457/1045094400], [[[1, 3], [2, 9], [4, 3], [6, 1], [12, 1]], 5917/3344302080], [[[1, 3], [2, 9], [5, 1], [6, 1], [14, 1]], 229/87091200], [[[1, 3], [2, 9], [5, 1], [6, 1], [18, 1]], 23/52254720], [[[1, 3], [2, 9], [5, 1], [6, 2], [8, 1]], 1/4147200], [[[1, 3], [2, 9], [5, 1], [6, 2], [10, 1]], 6271/290304000], [[[1, 3], [2, 9], [5, 1], [6, 2], [12, 1]], 1/14515200], [[[1, 3], [2, 9], [5, 1], [8, 1], [10, 1]], 131/129024000], [[[1, 3], [2, 9], [6, 1], [8, 1], [14, 1]], 1289/59719680], [[[1, 3], [2, 9], [6, 1], [8, 1], [18, 1]], 73/19906560], [[[1, 3], [2, 9], [6, 1], [10, 1], [14, 1]], 593/5806080], [[[1, 3], [2, 9], [6, 1], [10, 1], [18, 1]], 13861/522547200], [[[1, 3], [2, 9], [6, 1], [12, 1], [14, 1]], 53/46448640], [[[1, 3], [2, 9], [6, 2], [8, 1], [10, 1]], 52387/1254113280], [[[1, 3], [2, 9], [6, 2], [8, 1], [12, 1]], 193/716636160], [[[1, 3], [2, 9], [6, 2], [10, 1], [12, 1]], 17/2867200], [[[1, 3], [2, 11], [3, 1], [4, 1], [6, 3]], 15184423/1064204697600], [[[1, 3], [2, 11], [3, 1], [4, 1], [14, 1]], 1223/2926264320], [[[1, 3], [2, 11], [3, 1], [4, 1], [18, 1]], 163/51732172800], [[[1, 3], [2, 11], [3, 1], [4, 2], [5, 1]], 1/3483648000], [[[1, 3], [2, 11], [3, 1], [4, 2], [6, 2]], 2981/522547200], [[[1, 3], [2, 11], [3, 1], [4, 2], [8, 1]], 1/13271040], [[[1, 3], [2, 11], [3, 1], [4, 2], [10, 1]], 883/1045094400], [[[1, 3], [2, 11], [3, 1], [4, 2], [12, 1]], 1/2090188800], [[[1, 3], [2, 11], [3, 1], [4, 3], [6, 1]], 135209/157659955200], [[[1, 3], [2, 11], [3, 1], [5, 1], [6, 2]], 13/391910400], [[[1, 3], [2, 11], [3, 1], [5, 1], [10, 1]], 1/261273600], [[[1, 3], [2, 11], [3, 1], [6, 1], [14, 1]], 9497/5486745600], [[[1, 3], [2, 11], [3, 1], [6, 1], [18, 1]], 817/6270566400], [[[1, 3], [2, 11], [3, 1], [6, 2], [8, 1]], 1537/1567641600], [[[1, 3], [2, 11], [3, 1], [6, 2], [10, 1]], 96377/6270566400], [[[1, 3], [2, 11], [3, 1], [6, 2], [12, 1]], 139/2786918400], [[[1, 3], [2, 11], [3, 1], [8, 1], [10, 1]], 439/10450944000], [[[1, 3], [2, 11], [3, 2], [4, 1], [6, 2]], 670799/601974374400], [[[1, 3], [2, 11], [3, 2], [4, 1], [8, 1]], 47/50164531200], [[[1, 3], [2, 11], [3, 2], [4, 1], [10, 1]], 1/39191040], [[[1, 3], [2, 11], [3, 2], [4, 2], [6, 1]], 16019/100329062400], [[[1, 3], [2, 11], [3, 2], [5, 1], [6, 1]], 1/20901888000], [[[1, 3], [2, 11], [3, 2], [6, 1], [8, 1]], 22117/3310859059200], [[[1, 3], [2, 11], [3, 2], [6, 1], [10, 1]], 33539/125411328000], [[[1, 3], [2, 11], [3, 2], [6, 1], [12, 1]], 1/12541132800], [[[1, 3], [2, 11], [3, 3], [4, 1], [6, 1]], 383/413857382400], [[[1, 3], [2, 11], [4, 1], [5, 1], [6, 2]], 2531/10450944000], [[[1, 3], [2, 11], [4, 1], [5, 1], [8, 1]], 41/13934592000], [[[1, 3], [2, 11], [4, 1], [5, 1], [10, 1]], 29831/92897280000], [[[1, 3], [2, 11], [4, 1], [6, 1], [14, 1]], 127951/11705057280], [[[1, 3], [2, 11], [4, 1], [6, 1], [18, 1]], 1609/928972800], [[[1, 3], [2, 11], [4, 1], [6, 2], [8, 1]], 61337/10032906240], [[[1, 3], [2, 11], [4, 1], [6, 2], [10, 1]], 962513/25082265600], [[[1, 3], [2, 11], [4, 1], [6, 2], [12, 1]], 1289/2508226560], [[[1, 3], [2, 11], [4, 1], [8, 1], [10, 1]], 7529/2786918400], [[[1, 3], [2, 11], [4, 1], [8, 1], [12, 1]], 1/1393459200], [[[1, 3], [2, 11], [4, 1], [10, 1], [12, 1]], 37/746496000], [[[1, 3], [2, 11], [4, 2], [5, 1], [6, 1]], 113/1492992000], [[[1, 3], [2, 11], [4, 2], [6, 1], [8, 1]], 1063/250822656], [[[1, 3], [2, 11], [4, 2], [6, 1], [10, 1]], 171629/8360755200], [[[1, 3], [2, 11], [4, 2], [6, 1], [12, 1]], 251/1433272320], [[[1, 3], [2, 11], [5, 1], [6, 1], [8, 1]], 1/348364800], [[[1, 3], [2, 11], [5, 1], [6, 1], [10, 1]], 5963/6967296000], [[[1, 3], [2, 11], [5, 1], [6, 1], [12, 1]], 1/3483648000], [[[1, 3], [2, 11], [6, 1], [8, 1], [10, 1]], 1273/447897600], [[[1, 3], [2, 11], [6, 1], [8, 1], [12, 1]], 1213/551809843200], [[[1, 3], [2, 11], [6, 1], [10, 1], [12, 1]], 793/6967296000], [[[1, 3], [2, 13], [3, 1], [4, 1], [5, 1]], 1/172440576000], [[[1, 3], [2, 13], [3, 1], [4, 1], [6, 2]], 4695331/9932577177600], [[[1, 3], [2, 13], [3, 1], [4, 1], [8, 1]], 247/275904921600], [[[1, 3], [2, 13], [3, 1], [4, 1], [10, 1]], 18547/689762304000], [[[1, 3], [2, 13], [3, 1], [4, 1], [12, 1]], 1/413857382400], [[[1, 3], [2, 13], [3, 1], [4, 2], [6, 1]], 3881/46714060800], [[[1, 3], [2, 13], [3, 1], [5, 1], [6, 1]], 1/8622028800], [[[1, 3], [2, 13], [3, 1], [6, 1], [8, 1]], 593/88289574912], [[[1, 3], [2, 13], [3, 1], [6, 1], [10, 1]], 2368757/11036196864000], [[[1, 3], [2, 13], [3, 1], [6, 1], [12, 1]], 1/45984153600], [[[1, 3], [2, 13], [3, 2], [4, 1], [6, 1]], 49213/10594748989440], [[[1, 3], [2, 13], [4, 1], [5, 1], [6, 1]], 71/22992076800], [[[1, 3], [2, 13], [4, 1], [6, 1], [8, 1]], 60947/401316249600], [[[1, 3], [2, 13], [4, 1], [6, 1], [10, 1]], 1766603/1003290624000], [[[1, 3], [2, 13], [4, 1], [6, 1], [12, 1]], 40993/8828957491200], [[[1, 3], [2, 15], [3, 1], [4, 1], [6, 1]], 472439/151697542348800], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 3]], 1/192000], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 3]], 1/6144], [[[1, 4], [2, 2], [3, 1], [4, 2], [9, 2]], 5/82944], [[[1, 4], [2, 2], [3, 1], [4, 3], [11, 1]], 5/152064], [[[1, 4], [2, 2], [3, 1], [4, 4], [5, 2]], 1/460800], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 4]], 1/23887872], [[[1, 4], [2, 2], [3, 1], [4, 5], [7, 1]], 1/3096576], [[[1, 4], [2, 2], [3, 1], [4, 5], [9, 1]], 1/1327104], [[[1, 4], [2, 2], [3, 1], [4, 6], [5, 1]], 1/4423680], [[[1, 4], [2, 2], [3, 1], [4, 6], [8, 1]], 5/884736], [[[1, 4], [2, 2], [3, 1], [5, 1], [7, 2]], 1/3920], [[[1, 4], [2, 2], [3, 1], [5, 1], [9, 2]], 7/38880], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 4]], 1/1036800], [[[1, 4], [2, 2], [3, 1], [5, 3], [6, 2]], 1/192000], [[[1, 4], [2, 2], [3, 1], [5, 3], [12, 1]], 1/32000], [[[1, 4], [2, 2], [3, 1], [6, 2], [7, 2]], 1/56448], [[[1, 4], [2, 2], [3, 1], [6, 2], [9, 2]], 1/69984], [[[1, 4], [2, 2], [3, 1], [6, 2], [18, 2]], 1/139968], [[[1, 4], [2, 2], [3, 1], [6, 3], [11, 1]], 1/456192], [[[1, 4], [2, 2], [3, 1], [6, 3], [22, 1]], 1/4105728], [[[1, 4], [2, 2], [3, 1], [6, 5], [18, 1]], 1/10077696], [[[1, 4], [2, 2], [3, 1], [6, 6], [8, 1]], 1/26873856], [[[1, 4], [2, 2], [3, 1], [7, 1], [11, 1]], 1/3696], [[[1, 4], [2, 2], [3, 1], [7, 2], [8, 1]], 1/4704], [[[1, 4], [2, 2], [3, 1], [7, 2], [12, 1]], 1/9408], [[[1, 4], [2, 2], [3, 1], [8, 1], [9, 2]], 5/62208], [[[1, 4], [2, 2], [3, 1], [9, 1], [11, 1]], 1/12672], [[[1, 4], [2, 2], [3, 1], [9, 2], [10, 1]], 1/19440], [[[1, 4], [2, 2], [3, 1], [18, 1], [22, 1]], 1/57024], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 6]], 1/13436928], [[[1, 4], [2, 2], [3, 2], [4, 1], [7, 2]], 1/14112], [[[1, 4], [2, 2], [3, 2], [4, 1], [9, 2]], 17/62208], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 5]], 1/2654208], [[[1, 4], [2, 2], [3, 2], [4, 2], [11, 1]], 1/22528], [[[1, 4], [2, 2], [3, 2], [4, 2], [22, 1]], 1/25344], [[[1, 4], [2, 2], [3, 2], [4, 3], [5, 2]], 11/1036800], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 4]], 5/5971968], [[[1, 4], [2, 2], [3, 2], [4, 3], [8, 2]], 19/221184], [[[1, 4], [2, 2], [3, 2], [4, 4], [7, 1]], 1/2322432], [[[1, 4], [2, 2], [3, 2], [4, 4], [9, 1]], 61/3981312], [[[1, 4], [2, 2], [3, 2], [4, 6], [6, 1]], 1/21233664], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 5]], 1/1866240], [[[1, 4], [2, 2], [3, 2], [5, 1], [11, 1]], 7/95040], [[[1, 4], [2, 2], [3, 2], [5, 2], [6, 3]], 1/51840], [[[1, 4], [2, 2], [3, 2], [5, 2], [7, 1]], 13/302400], [[[1, 4], [2, 2], [3, 2], [5, 2], [9, 1]], 1/6480], [[[1, 4], [2, 2], [3, 2], [6, 1], [7, 2]], 1/5292], [[[1, 4], [2, 2], [3, 2], [6, 1], [9, 2]], 41/139968], [[[1, 4], [2, 2], [3, 2], [6, 2], [11, 1]], 907/2737152], [[[1, 4], [2, 2], [3, 2], [6, 2], [22, 1]], 65/1824768], [[[1, 4], [2, 2], [3, 2], [6, 4], [7, 1]], 1/435456], [[[1, 4], [2, 2], [3, 2], [6, 4], [9, 1]], 1/559872], [[[1, 4], [2, 2], [3, 2], [6, 4], [18, 1]], 65/4478976], [[[1, 4], [2, 2], [3, 2], [6, 5], [8, 1]], 1/2985984], [[[1, 4], [2, 2], [3, 2], [6, 5], [10, 1]], 1/3732480], [[[1, 4], [2, 2], [3, 2], [8, 1], [11, 1]], 5/152064], [[[1, 4], [2, 2], [3, 2], [8, 2], [9, 1]], 1/27648], [[[1, 4], [2, 2], [3, 2], [10, 1], [11, 1]], 1/47520], [[[1, 4], [2, 2], [3, 2], [11, 1], [12, 1]], 1/16896], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 5]], 1/4478976], [[[1, 4], [2, 2], [3, 3], [4, 1], [11, 1]], 149/1824768], [[[1, 4], [2, 2], [3, 3], [4, 2], [5, 2]], 59/33177600], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 4]], 17/7962624], [[[1, 4], [2, 2], [3, 3], [4, 2], [8, 2]], 25/1327104], [[[1, 4], [2, 2], [3, 3], [4, 2], [12, 2]], 1/41472], [[[1, 4], [2, 2], [3, 3], [4, 3], [6, 3]], 19/5971968], [[[1, 4], [2, 2], [3, 3], [4, 3], [7, 1]], 137/20901888], [[[1, 4], [2, 2], [3, 3], [4, 3], [9, 1]], 43/2239488], [[[1, 4], [2, 2], [3, 3], [4, 4], [5, 1]], 13/59719680], [[[1, 4], [2, 2], [3, 3], [4, 4], [6, 2]], 7/1990656], [[[1, 4], [2, 2], [3, 3], [4, 4], [8, 1]], 49/23887872], [[[1, 4], [2, 2], [3, 3], [4, 4], [12, 1]], 7/1327104], [[[1, 4], [2, 2], [3, 3], [4, 5], [6, 1]], 1/7962624], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 4]], 17/746496], [[[1, 4], [2, 2], [3, 3], [5, 2], [6, 2]], 19/9331200], [[[1, 4], [2, 2], [3, 3], [5, 2], [8, 1]], 1/2764800], [[[1, 4], [2, 2], [3, 3], [5, 2], [10, 1]], 17/5184000], [[[1, 4], [2, 2], [3, 3], [5, 2], [12, 1]], 1/86400], [[[1, 4], [2, 2], [3, 3], [6, 1], [11, 1]], 553/4105728], [[[1, 4], [2, 2], [3, 3], [6, 1], [22, 1]], 1/50688], [[[1, 4], [2, 2], [3, 3], [6, 2], [8, 2]], 1/27648], [[[1, 4], [2, 2], [3, 3], [6, 3], [7, 1]], 5/108864], [[[1, 4], [2, 2], [3, 3], [6, 3], [9, 1]], 41/1119744], [[[1, 4], [2, 2], [3, 3], [6, 3], [14, 1]], 1/36288], [[[1, 4], [2, 2], [3, 3], [6, 3], [18, 1]], 11/373248], [[[1, 4], [2, 2], [3, 3], [6, 4], [8, 1]], 49/2985984], [[[1, 4], [2, 2], [3, 3], [6, 4], [12, 1]], 1/62208], [[[1, 4], [2, 2], [3, 3], [7, 1], [9, 1]], 1/4536], [[[1, 4], [2, 2], [3, 4], [4, 1], [5, 2]], 7/6220800], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 4]], 1/746496], [[[1, 4], [2, 2], [3, 4], [4, 1], [8, 2]], 1/1990656], [[[1, 4], [2, 2], [3, 4], [4, 1], [12, 2]], 1/93312], [[[1, 4], [2, 2], [3, 4], [4, 2], [6, 3]], 47/7962624], [[[1, 4], [2, 2], [3, 4], [4, 2], [7, 1]], 101/13934592], [[[1, 4], [2, 2], [3, 4], [4, 2], [9, 1]], 167/5971968], [[[1, 4], [2, 2], [3, 4], [4, 3], [5, 1]], 1/311040], [[[1, 4], [2, 2], [3, 4], [4, 3], [6, 2]], 41/8957952], [[[1, 4], [2, 2], [3, 4], [4, 3], [8, 1]], 41/5971968], [[[1, 4], [2, 2], [3, 4], [4, 3], [12, 1]], 5/1492992], [[[1, 4], [2, 2], [3, 4], [4, 4], [6, 1]], 1/17915904], [[[1, 4], [2, 2], [3, 4], [5, 1], [6, 3]], 19/1866240], [[[1, 4], [2, 2], [3, 4], [5, 1], [7, 1]], 23/8709120], [[[1, 4], [2, 2], [3, 4], [5, 1], [9, 1]], 31/933120], [[[1, 4], [2, 2], [3, 4], [5, 2], [6, 1]], 1/466560], [[[1, 4], [2, 2], [3, 4], [6, 1], [8, 2]], 1/746496], [[[1, 4], [2, 2], [3, 4], [6, 2], [7, 1]], 253/3919104], [[[1, 4], [2, 2], [3, 4], [6, 2], [9, 1]], 1271/6718464], [[[1, 4], [2, 2], [3, 4], [6, 2], [18, 1]], 1/93312], [[[1, 4], [2, 2], [3, 4], [6, 3], [8, 1]], 65/2239488], [[[1, 4], [2, 2], [3, 4], [6, 3], [10, 1]], 1/414720], [[[1, 4], [2, 2], [3, 4], [6, 3], [12, 1]], 1/124416], [[[1, 4], [2, 2], [3, 4], [7, 1], [8, 1]], 1/1161216], [[[1, 4], [2, 2], [3, 4], [7, 1], [10, 1]], 1/1088640], [[[1, 4], [2, 2], [3, 4], [8, 1], [9, 1]], 23/1492992], [[[1, 4], [2, 2], [3, 4], [9, 1], [10, 1]], 1/93312], [[[1, 4], [2, 2], [3, 4], [9, 1], [12, 1]], 1/41472], [[[1, 4], [2, 2], [3, 5], [4, 1], [6, 3]], 41/6718464], [[[1, 4], [2, 2], [3, 5], [4, 1], [7, 1]], 5/2612736], [[[1, 4], [2, 2], [3, 5], [4, 1], [9, 1]], 161/4478976], [[[1, 4], [2, 2], [3, 5], [4, 2], [5, 1]], 7/5971968], [[[1, 4], [2, 2], [3, 5], [4, 2], [6, 2]], 173/35831808], [[[1, 4], [2, 2], [3, 5], [4, 2], [8, 1]], 5/1990656], [[[1, 4], [2, 2], [3, 5], [4, 2], [10, 1]], 1/3732480], [[[1, 4], [2, 2], [3, 5], [4, 2], [12, 1]], 43/35831808], [[[1, 4], [2, 2], [3, 5], [4, 3], [6, 1]], 19/53747712], [[[1, 4], [2, 2], [3, 5], [5, 1], [6, 2]], 11/4199040], [[[1, 4], [2, 2], [3, 5], [5, 1], [8, 1]], 1/3732480], [[[1, 4], [2, 2], [3, 5], [5, 1], [10, 1]], 1/1036800], [[[1, 4], [2, 2], [3, 5], [5, 1], [12, 1]], 1/1866240], [[[1, 4], [2, 2], [3, 5], [6, 1], [7, 1]], 1/40824], [[[1, 4], [2, 2], [3, 5], [6, 1], [9, 1]], 601/10077696], [[[1, 4], [2, 2], [3, 5], [6, 2], [8, 1]], 83/26873856], [[[1, 4], [2, 2], [3, 5], [6, 2], [10, 1]], 1/5598720], [[[1, 4], [2, 2], [3, 5], [6, 2], [12, 1]], 17/419904], [[[1, 4], [2, 2], [3, 5], [8, 1], [12, 1]], 1/1492992], [[[1, 4], [2, 2], [3, 5], [10, 1], [12, 1]], 1/933120], [[[1, 4], [2, 2], [3, 6], [4, 1], [6, 2]], 1/13436928], [[[1, 4], [2, 2], [3, 6], [4, 1], [10, 1]], 1/2099520], [[[1, 4], [2, 2], [3, 6], [4, 1], [12, 1]], 1/1259712], [[[1, 4], [2, 2], [3, 6], [4, 2], [6, 1]], 91/53747712], [[[1, 4], [2, 2], [3, 6], [5, 1], [6, 1]], 1/1679616], [[[1, 4], [2, 2], [3, 6], [6, 1], [8, 1]], 41/80621568], [[[1, 4], [2, 2], [3, 6], [6, 1], [12, 1]], 1/1679616], [[[1, 4], [2, 2], [3, 7], [4, 1], [6, 1]], 55/120932352], [[[1, 4], [2, 2], [4, 1], [5, 1], [7, 2]], 3/7840], [[[1, 4], [2, 2], [4, 1], [5, 2], [8, 2]], 1/51200], [[[1, 4], [2, 2], [4, 1], [5, 2], [10, 2]], 1/4000], [[[1, 4], [2, 2], [4, 1], [5, 3], [8, 1]], 1/64000], [[[1, 4], [2, 2], [4, 1], [5, 3], [10, 1]], 1/20000], [[[1, 4], [2, 2], [4, 1], [5, 3], [12, 1]], 1/12000], [[[1, 4], [2, 2], [4, 1], [6, 2], [18, 2]], 1/186624], [[[1, 4], [2, 2], [4, 1], [6, 3], [22, 1]], 1/5474304], [[[1, 4], [2, 2], [4, 1], [6, 4], [8, 2]], 1/5971968], [[[1, 4], [2, 2], [4, 1], [6, 5], [18, 1]], 1/13436928], [[[1, 4], [2, 2], [4, 1], [7, 1], [11, 1]], 1/2464], [[[1, 4], [2, 2], [4, 1], [7, 2], [8, 1]], 1/3136], [[[1, 4], [2, 2], [4, 1], [9, 1], [11, 1]], 5/25344], [[[1, 4], [2, 2], [4, 1], [18, 1], [22, 1]], 1/76032], [[[1, 4], [2, 2], [4, 2], [5, 1], [11, 1]], 7/33792], [[[1, 4], [2, 2], [4, 2], [5, 1], [22, 1]], 1/42240], [[[1, 4], [2, 2], [4, 2], [5, 2], [7, 1]], 1/15360], [[[1, 4], [2, 2], [4, 2], [5, 2], [9, 1]], 11/460800], [[[1, 4], [2, 2], [4, 2], [6, 1], [7, 2]], 1/4704], [[[1, 4], [2, 2], [4, 2], [6, 2], [11, 1]], 7/152064], [[[1, 4], [2, 2], [4, 2], [6, 3], [8, 2]], 1/1327104], [[[1, 4], [2, 2], [4, 2], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 2], [4, 2], [8, 1], [11, 1]], 5/33792], [[[1, 4], [2, 2], [4, 2], [8, 2], [9, 1]], 1/18432], [[[1, 4], [2, 2], [4, 2], [8, 2], [18, 1]], 1/18432], [[[1, 4], [2, 2], [4, 2], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 2], [4, 2], [11, 1], [12, 1]], 1/8448], [[[1, 4], [2, 2], [4, 2], [12, 1], [22, 1]], 1/25344], [[[1, 4], [2, 2], [4, 3], [5, 1], [8, 2]], 3/20480], [[[1, 4], [2, 2], [4, 3], [5, 1], [10, 2]], 1/51200], [[[1, 4], [2, 2], [4, 3], [5, 2], [8, 1]], 1/614400], [[[1, 4], [2, 2], [4, 3], [5, 2], [10, 1]], 7/768000], [[[1, 4], [2, 2], [4, 3], [5, 2], [12, 1]], 1/230400], [[[1, 4], [2, 2], [4, 3], [6, 1], [11, 1]], 1/25344], [[[1, 4], [2, 2], [4, 3], [7, 1], [9, 1]], 5/290304], [[[1, 4], [2, 2], [4, 3], [8, 2], [12, 1]], 1/6144], [[[1, 4], [2, 2], [4, 4], [5, 1], [6, 3]], 1/9953280], [[[1, 4], [2, 2], [4, 4], [5, 1], [7, 1]], 19/1720320], [[[1, 4], [2, 2], [4, 4], [5, 1], [9, 1]], 1/829440], [[[1, 4], [2, 2], [4, 4], [5, 1], [18, 1]], 1/138240], [[[1, 4], [2, 2], [4, 4], [5, 2], [6, 1]], 1/921600], [[[1, 4], [2, 2], [4, 4], [6, 1], [12, 2]], 1/110592], [[[1, 4], [2, 2], [4, 4], [6, 2], [18, 1]], 1/1990656], [[[1, 4], [2, 2], [4, 4], [6, 3], [8, 1]], 7/7962624], [[[1, 4], [2, 2], [4, 4], [6, 3], [12, 1]], 1/5971968], [[[1, 4], [2, 2], [4, 4], [7, 1], [8, 1]], 1/43008], [[[1, 4], [2, 2], [4, 4], [7, 1], [10, 1]], 1/107520], [[[1, 4], [2, 2], [4, 4], [7, 1], [12, 1]], 1/64512], [[[1, 4], [2, 2], [4, 4], [8, 1], [9, 1]], 1/331776], [[[1, 4], [2, 2], [4, 4], [8, 1], [18, 1]], 7/110592], [[[1, 4], [2, 2], [4, 4], [10, 1], [14, 1]], 1/2580480], [[[1, 4], [2, 2], [4, 4], [12, 1], [18, 1]], 1/82944], [[[1, 4], [2, 2], [4, 5], [5, 1], [10, 1]], 1/1474560], [[[1, 4], [2, 2], [4, 5], [6, 2], [8, 1]], 1/884736], [[[1, 4], [2, 2], [4, 5], [8, 1], [10, 1]], 1/245760], [[[1, 4], [2, 2], [4, 6], [6, 1], [12, 1]], 1/3538944], [[[1, 4], [2, 2], [5, 1], [6, 1], [7, 2]], 1/17640], [[[1, 4], [2, 2], [5, 1], [6, 2], [11, 1]], 1/15840], [[[1, 4], [2, 2], [5, 1], [6, 3], [10, 2]], 1/1036800], [[[1, 4], [2, 2], [5, 1], [7, 1], [8, 2]], 1/35840], [[[1, 4], [2, 2], [5, 1], [8, 1], [11, 1]], 7/14080], [[[1, 4], [2, 2], [5, 1], [10, 1], [11, 1]], 1/4400], [[[1, 4], [2, 2], [5, 1], [10, 2], [18, 1]], 1/14400], [[[1, 4], [2, 2], [5, 2], [6, 1], [8, 2]], 1/38400], [[[1, 4], [2, 2], [5, 2], [6, 2], [7, 1]], 1/50400], [[[1, 4], [2, 2], [5, 2], [6, 2], [9, 1]], 1/129600], [[[1, 4], [2, 2], [5, 2], [6, 3], [10, 1]], 1/518400], [[[1, 4], [2, 2], [5, 2], [7, 1], [8, 1]], 11/44800], [[[1, 4], [2, 2], [5, 2], [7, 1], [10, 1]], 11/14000], [[[1, 4], [2, 2], [5, 2], [8, 1], [9, 1]], 1/38400], [[[1, 4], [2, 2], [5, 2], [9, 1], [10, 1]], 17/72000], [[[1, 4], [2, 2], [5, 2], [10, 1], [18, 1]], 1/7200], [[[1, 4], [2, 2], [5, 3], [6, 1], [8, 1]], 1/24000], [[[1, 4], [2, 2], [6, 1], [7, 1], [11, 1]], 1/5544], [[[1, 4], [2, 2], [6, 1], [8, 1], [18, 2]], 1/62208], [[[1, 4], [2, 2], [6, 1], [9, 1], [11, 1]], 1/57024], [[[1, 4], [2, 2], [6, 1], [18, 1], [22, 1]], 1/228096], [[[1, 4], [2, 2], [6, 2], [8, 1], [22, 1]], 1/152064], [[[1, 4], [2, 2], [6, 2], [8, 2], [18, 1]], 1/82944], [[[1, 4], [2, 2], [6, 2], [12, 1], [22, 1]], 1/304128], [[[1, 4], [2, 2], [6, 3], [8, 1], [10, 2]], 1/24883200], [[[1, 4], [2, 2], [6, 4], [8, 1], [14, 1]], 1/10450944], [[[1, 4], [2, 2], [6, 4], [8, 1], [18, 1]], 13/4478976], [[[1, 4], [2, 2], [6, 4], [10, 1], [14, 1]], 1/52254720], [[[1, 4], [2, 2], [6, 4], [12, 1], [18, 1]], 1/746496], [[[1, 4], [2, 2], [8, 1], [10, 1], [22, 1]], 1/42240], [[[1, 4], [2, 2], [8, 1], [10, 2], [14, 1]], 1/134400], [[[1, 4], [2, 2], [8, 1], [10, 2], [18, 1]], 1/345600], [[[1, 4], [2, 2], [8, 2], [10, 1], [14, 1]], 1/107520], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 3]], 1/48000], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 6]], 137/322486272], [[[1, 4], [2, 4], [3, 1], [4, 1], [7, 2]], 1/56448], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 3]], 1/6144], [[[1, 4], [2, 4], [3, 1], [4, 1], [9, 2]], 59/746496], [[[1, 4], [2, 4], [3, 1], [4, 1], [10, 3]], 1/32000], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 5]], 83/11943936], [[[1, 4], [2, 4], [3, 1], [4, 2], [11, 1]], 59/608256], [[[1, 4], [2, 4], [3, 1], [4, 2], [22, 1]], 133/608256], [[[1, 4], [2, 4], [3, 1], [4, 3], [5, 2]], 29/921600], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 4]], 515/71663616], [[[1, 4], [2, 4], [3, 1], [4, 3], [8, 2]], 155/442368], [[[1, 4], [2, 4], [3, 1], [4, 3], [10, 2]], 43/2764800], [[[1, 4], [2, 4], [3, 1], [4, 3], [12, 2]], 1/36864], [[[1, 4], [2, 4], [3, 1], [4, 4], [6, 3]], 107/23887872], [[[1, 4], [2, 4], [3, 1], [4, 4], [7, 1]], 19/3096576], [[[1, 4], [2, 4], [3, 1], [4, 4], [9, 1]], 151/3981312], [[[1, 4], [2, 4], [3, 1], [4, 4], [14, 1]], 113/1548288], [[[1, 4], [2, 4], [3, 1], [4, 4], [18, 1]], 1/663552], [[[1, 4], [2, 4], [3, 1], [4, 5], [5, 1]], 1/245760], [[[1, 4], [2, 4], [3, 1], [4, 5], [6, 2]], 59/10616832], [[[1, 4], [2, 4], [3, 1], [4, 5], [8, 1]], 23/589824], [[[1, 4], [2, 4], [3, 1], [4, 5], [10, 1]], 1/368640], [[[1, 4], [2, 4], [3, 1], [4, 5], [12, 1]], 1/589824], [[[1, 4], [2, 4], [3, 1], [4, 6], [6, 1]], 1/196608], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 5]], 11/1399680], [[[1, 4], [2, 4], [3, 1], [5, 1], [11, 1]], 5/50688], [[[1, 4], [2, 4], [3, 1], [5, 1], [22, 1]], 1/15840], [[[1, 4], [2, 4], [3, 1], [5, 2], [6, 3]], 1/30720], [[[1, 4], [2, 4], [3, 1], [5, 2], [7, 1]], 7/115200], [[[1, 4], [2, 4], [3, 1], [5, 2], [9, 1]], 181/2073600], [[[1, 4], [2, 4], [3, 1], [5, 3], [6, 1]], 11/144000], [[[1, 4], [2, 4], [3, 1], [6, 1], [7, 2]], 1/28224], [[[1, 4], [2, 4], [3, 1], [6, 1], [9, 2]], 19/279936], [[[1, 4], [2, 4], [3, 1], [6, 1], [10, 3]], 11/144000], [[[1, 4], [2, 4], [3, 1], [6, 1], [14, 2]], 1/28224], [[[1, 4], [2, 4], [3, 1], [6, 1], [18, 2]], 19/279936], [[[1, 4], [2, 4], [3, 1], [6, 2], [11, 1]], 2149/14598144], [[[1, 4], [2, 4], [3, 1], [6, 2], [22, 1]], 191/1368576], [[[1, 4], [2, 4], [3, 1], [6, 3], [8, 2]], 1/55296], [[[1, 4], [2, 4], [3, 1], [6, 3], [10, 2]], 1159/37324800], [[[1, 4], [2, 4], [3, 1], [6, 4], [7, 1]], 1/580608], [[[1, 4], [2, 4], [3, 1], [6, 4], [14, 1]], 163/15676416], [[[1, 4], [2, 4], [3, 1], [6, 4], [18, 1]], 569/6718464], [[[1, 4], [2, 4], [3, 1], [6, 5], [8, 1]], 143/26873856], [[[1, 4], [2, 4], [3, 1], [6, 5], [10, 1]], 37/8398080], [[[1, 4], [2, 4], [3, 1], [6, 5], [12, 1]], 55/13436928], [[[1, 4], [2, 4], [3, 1], [7, 1], [8, 2]], 1/18432], [[[1, 4], [2, 4], [3, 1], [8, 1], [11, 1]], 19/152064], [[[1, 4], [2, 4], [3, 1], [8, 1], [22, 1]], 1/5632], [[[1, 4], [2, 4], [3, 1], [8, 2], [9, 1]], 19/165888], [[[1, 4], [2, 4], [3, 1], [8, 2], [14, 1]], 1/21504], [[[1, 4], [2, 4], [3, 1], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 4], [3, 1], [10, 1], [22, 1]], 1/7040], [[[1, 4], [2, 4], [3, 1], [10, 2], [14, 1]], 1/22400], [[[1, 4], [2, 4], [3, 1], [10, 2], [18, 1]], 7/518400], [[[1, 4], [2, 4], [3, 1], [11, 1], [12, 1]], 37/2433024], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 5]], 509/17915904], [[[1, 4], [2, 4], [3, 2], [4, 1], [11, 1]], 59/1824768], [[[1, 4], [2, 4], [3, 2], [4, 1], [22, 1]], 1/6912], [[[1, 4], [2, 4], [3, 2], [4, 2], [5, 2]], 1/204800], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 4]], 463/11943936], [[[1, 4], [2, 4], [3, 2], [4, 2], [8, 2]], 1/13824], [[[1, 4], [2, 4], [3, 2], [4, 2], [10, 2]], 1/76800], [[[1, 4], [2, 4], [3, 2], [4, 2], [12, 2]], 1/27648], [[[1, 4], [2, 4], [3, 2], [4, 3], [6, 3]], 23/442368], [[[1, 4], [2, 4], [3, 2], [4, 3], [7, 1]], 5/193536], [[[1, 4], [2, 4], [3, 2], [4, 3], [9, 1]], 47/746496], [[[1, 4], [2, 4], [3, 2], [4, 3], [14, 1]], 1/32256], [[[1, 4], [2, 4], [3, 2], [4, 4], [5, 1]], 5/1327104], [[[1, 4], [2, 4], [3, 2], [4, 4], [6, 2]], 229/5308416], [[[1, 4], [2, 4], [3, 2], [4, 4], [8, 1]], 13/331776], [[[1, 4], [2, 4], [3, 2], [4, 4], [10, 1]], 1/1658880], [[[1, 4], [2, 4], [3, 2], [4, 4], [12, 1]], 103/3981312], [[[1, 4], [2, 4], [3, 2], [4, 5], [6, 1]], 59/10616832], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 4]], 71/1244160], [[[1, 4], [2, 4], [3, 2], [5, 1], [8, 2]], 1/276480], [[[1, 4], [2, 4], [3, 2], [5, 1], [10, 2]], 1/8640], [[[1, 4], [2, 4], [3, 2], [5, 2], [6, 2]], 3109/16588800], [[[1, 4], [2, 4], [3, 2], [5, 2], [8, 1]], 17/2073600], [[[1, 4], [2, 4], [3, 2], [5, 2], [10, 1]], 7/108000], [[[1, 4], [2, 4], [3, 2], [5, 2], [12, 1]], 37/2764800], [[[1, 4], [2, 4], [3, 2], [6, 1], [11, 1]], 191/1368576], [[[1, 4], [2, 4], [3, 2], [6, 1], [22, 1]], 2149/14598144], [[[1, 4], [2, 4], [3, 2], [6, 2], [8, 2]], 19/110592], [[[1, 4], [2, 4], [3, 2], [6, 2], [10, 2]], 3109/16588800], [[[1, 4], [2, 4], [3, 2], [6, 3], [7, 1]], 11/193536], [[[1, 4], [2, 4], [3, 2], [6, 3], [9, 1]], 169/2239488], [[[1, 4], [2, 4], [3, 2], [6, 3], [14, 1]], 3499/20901888], [[[1, 4], [2, 4], [3, 2], [6, 3], [18, 1]], 3299/11943936], [[[1, 4], [2, 4], [3, 2], [6, 4], [8, 1]], 289/4478976], [[[1, 4], [2, 4], [3, 2], [6, 4], [10, 1]], 2599/44789760], [[[1, 4], [2, 4], [3, 2], [6, 4], [12, 1]], 49/995328], [[[1, 4], [2, 4], [3, 2], [7, 1], [9, 1]], 5/290304], [[[1, 4], [2, 4], [3, 2], [8, 1], [10, 2]], 1/69120], [[[1, 4], [2, 4], [3, 2], [14, 1], [18, 1]], 1/72576], [[[1, 4], [2, 4], [3, 3], [4, 1], [5, 2]], 43/6635520], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 4]], 331/2239488], [[[1, 4], [2, 4], [3, 3], [4, 1], [8, 2]], 479/23887872], [[[1, 4], [2, 4], [3, 3], [4, 1], [10, 2]], 1/172800], [[[1, 4], [2, 4], [3, 3], [4, 1], [12, 2]], 1/248832], [[[1, 4], [2, 4], [3, 3], [4, 2], [6, 3]], 289/1990656], [[[1, 4], [2, 4], [3, 3], [4, 2], [7, 1]], 737/55738368], [[[1, 4], [2, 4], [3, 3], [4, 2], [9, 1]], 199/2985984], [[[1, 4], [2, 4], [3, 3], [4, 2], [14, 1]], 1/48384], [[[1, 4], [2, 4], [3, 3], [4, 3], [5, 1]], 551/59719680], [[[1, 4], [2, 4], [3, 3], [4, 3], [6, 2]], 23/442368], [[[1, 4], [2, 4], [3, 3], [4, 3], [8, 1]], 103/1990656], [[[1, 4], [2, 4], [3, 3], [4, 3], [10, 1]], 5/663552], [[[1, 4], [2, 4], [3, 3], [4, 3], [12, 1]], 91/3981312], [[[1, 4], [2, 4], [3, 3], [4, 4], [6, 1]], 107/23887872], [[[1, 4], [2, 4], [3, 3], [5, 1], [6, 3]], 23/103680], [[[1, 4], [2, 4], [3, 3], [5, 1], [7, 1]], 5413/418037760], [[[1, 4], [2, 4], [3, 3], [5, 1], [9, 1]], 7/116640], [[[1, 4], [2, 4], [3, 3], [5, 2], [6, 1]], 1159/37324800], [[[1, 4], [2, 4], [3, 3], [6, 1], [8, 2]], 1/55296], [[[1, 4], [2, 4], [3, 3], [6, 1], [10, 2]], 1/30720], [[[1, 4], [2, 4], [3, 3], [6, 2], [7, 1]], 3499/20901888], [[[1, 4], [2, 4], [3, 3], [6, 2], [9, 1]], 3299/11943936], [[[1, 4], [2, 4], [3, 3], [6, 2], [14, 1]], 11/193536], [[[1, 4], [2, 4], [3, 3], [6, 2], [18, 1]], 169/2239488], [[[1, 4], [2, 4], [3, 3], [6, 3], [8, 1]], 487/1492992], [[[1, 4], [2, 4], [3, 3], [6, 3], [10, 1]], 23/103680], [[[1, 4], [2, 4], [3, 3], [6, 3], [12, 1]], 1/27648], [[[1, 4], [2, 4], [3, 3], [7, 1], [8, 1]], 137/10450944], [[[1, 4], [2, 4], [3, 3], [7, 1], [10, 1]], 5/290304], [[[1, 4], [2, 4], [3, 3], [7, 1], [12, 1]], 13/1161216], [[[1, 4], [2, 4], [3, 3], [8, 1], [9, 1]], 11/139968], [[[1, 4], [2, 4], [3, 3], [9, 1], [10, 1]], 1/12960], [[[1, 4], [2, 4], [3, 3], [9, 1], [12, 1]], 185/5971968], [[[1, 4], [2, 4], [3, 3], [10, 1], [14, 1]], 1/181440], [[[1, 4], [2, 4], [3, 4], [4, 1], [6, 3]], 331/2239488], [[[1, 4], [2, 4], [3, 4], [4, 1], [7, 1]], 11/13934592], [[[1, 4], [2, 4], [3, 4], [4, 1], [9, 1]], 257/17915904], [[[1, 4], [2, 4], [3, 4], [4, 2], [5, 1]], 89/119439360], [[[1, 4], [2, 4], [3, 4], [4, 2], [6, 2]], 463/11943936], [[[1, 4], [2, 4], [3, 4], [4, 2], [8, 1]], 13/5971968], [[[1, 4], [2, 4], [3, 4], [4, 2], [10, 1]], 43/7464960], [[[1, 4], [2, 4], [3, 4], [4, 2], [12, 1]], 5/559872], [[[1, 4], [2, 4], [3, 4], [4, 3], [6, 1]], 515/71663616], [[[1, 4], [2, 4], [3, 4], [5, 1], [6, 2]], 2599/44789760], [[[1, 4], [2, 4], [3, 4], [5, 1], [8, 1]], 1/829440], [[[1, 4], [2, 4], [3, 4], [5, 1], [10, 1]], 11/8294400], [[[1, 4], [2, 4], [3, 4], [5, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 4], [3, 4], [6, 1], [7, 1]], 163/15676416], [[[1, 4], [2, 4], [3, 4], [6, 1], [9, 1]], 569/6718464], [[[1, 4], [2, 4], [3, 4], [6, 1], [14, 1]], 1/580608], [[[1, 4], [2, 4], [3, 4], [6, 2], [8, 1]], 289/4478976], [[[1, 4], [2, 4], [3, 4], [6, 2], [10, 1]], 71/1244160], [[[1, 4], [2, 4], [3, 4], [6, 2], [12, 1]], 49/995328], [[[1, 4], [2, 4], [3, 4], [8, 1], [12, 1]], 1/1492992], [[[1, 4], [2, 4], [3, 5], [4, 1], [5, 1]], 13/44789760], [[[1, 4], [2, 4], [3, 5], [4, 1], [6, 2]], 509/17915904], [[[1, 4], [2, 4], [3, 5], [4, 1], [8, 1]], 19/35831808], [[[1, 4], [2, 4], [3, 5], [4, 1], [10, 1]], 7/22394880], [[[1, 4], [2, 4], [3, 5], [4, 1], [12, 1]], 7/53747712], [[[1, 4], [2, 4], [3, 5], [4, 2], [6, 1]], 83/11943936], [[[1, 4], [2, 4], [3, 5], [5, 1], [6, 1]], 37/8398080], [[[1, 4], [2, 4], [3, 5], [6, 1], [8, 1]], 143/26873856], [[[1, 4], [2, 4], [3, 5], [6, 1], [10, 1]], 11/1399680], [[[1, 4], [2, 4], [3, 5], [6, 1], [12, 1]], 55/13436928], [[[1, 4], [2, 4], [3, 6], [4, 1], [6, 1]], 137/322486272], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 5]], 7/22394880], [[[1, 4], [2, 4], [4, 1], [5, 1], [11, 1]], 37/168960], [[[1, 4], [2, 4], [4, 1], [5, 1], [22, 1]], 7/42240], [[[1, 4], [2, 4], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 4], [2, 4], [4, 1], [5, 2], [7, 1]], 13/107520], [[[1, 4], [2, 4], [4, 1], [5, 2], [9, 1]], 23/460800], [[[1, 4], [2, 4], [4, 1], [5, 3], [6, 1]], 1/32000], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 3]], 1/6144], [[[1, 4], [2, 4], [4, 1], [6, 1], [10, 3]], 1/48000], [[[1, 4], [2, 4], [4, 1], [6, 1], [14, 2]], 1/56448], [[[1, 4], [2, 4], [4, 1], [6, 1], [18, 2]], 59/746496], [[[1, 4], [2, 4], [4, 1], [6, 2], [11, 1]], 1/6912], [[[1, 4], [2, 4], [4, 1], [6, 2], [22, 1]], 59/1824768], [[[1, 4], [2, 4], [4, 1], [6, 3], [8, 2]], 479/23887872], [[[1, 4], [2, 4], [4, 1], [6, 3], [10, 2]], 43/6635520], [[[1, 4], [2, 4], [4, 1], [6, 3], [12, 2]], 1/248832], [[[1, 4], [2, 4], [4, 1], [6, 4], [14, 1]], 11/13934592], [[[1, 4], [2, 4], [4, 1], [6, 4], [18, 1]], 257/17915904], [[[1, 4], [2, 4], [4, 1], [6, 5], [8, 1]], 19/35831808], [[[1, 4], [2, 4], [4, 1], [6, 5], [10, 1]], 13/44789760], [[[1, 4], [2, 4], [4, 1], [6, 5], [12, 1]], 7/53747712], [[[1, 4], [2, 4], [4, 1], [7, 1], [8, 2]], 3/14336], [[[1, 4], [2, 4], [4, 1], [8, 1], [11, 1]], 199/811008], [[[1, 4], [2, 4], [4, 1], [8, 1], [22, 1]], 199/811008], [[[1, 4], [2, 4], [4, 1], [8, 2], [9, 1]], 23/331776], [[[1, 4], [2, 4], [4, 1], [8, 2], [14, 1]], 3/14336], [[[1, 4], [2, 4], [4, 1], [8, 2], [18, 1]], 23/331776], [[[1, 4], [2, 4], [4, 1], [10, 1], [11, 1]], 7/42240], [[[1, 4], [2, 4], [4, 1], [10, 1], [22, 1]], 37/168960], [[[1, 4], [2, 4], [4, 1], [10, 2], [14, 1]], 13/107520], [[[1, 4], [2, 4], [4, 1], [10, 2], [18, 1]], 23/460800], [[[1, 4], [2, 4], [4, 1], [11, 1], [12, 1]], 1/25344], [[[1, 4], [2, 4], [4, 1], [12, 1], [22, 1]], 1/25344], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 4]], 43/7464960], [[[1, 4], [2, 4], [4, 2], [5, 1], [8, 2]], 3/10240], [[[1, 4], [2, 4], [4, 2], [5, 1], [10, 2]], 317/768000], [[[1, 4], [2, 4], [4, 2], [5, 2], [6, 2]], 1/76800], [[[1, 4], [2, 4], [4, 2], [5, 2], [8, 1]], 13/92160], [[[1, 4], [2, 4], [4, 2], [5, 2], [10, 1]], 317/768000], [[[1, 4], [2, 4], [4, 2], [5, 2], [12, 1]], 31/230400], [[[1, 4], [2, 4], [4, 2], [6, 1], [11, 1]], 133/608256], [[[1, 4], [2, 4], [4, 2], [6, 1], [22, 1]], 59/608256], [[[1, 4], [2, 4], [4, 2], [6, 2], [8, 2]], 1/13824], [[[1, 4], [2, 4], [4, 2], [6, 2], [10, 2]], 1/204800], [[[1, 4], [2, 4], [4, 2], [6, 2], [12, 2]], 1/27648], [[[1, 4], [2, 4], [4, 2], [6, 3], [7, 1]], 1/48384], [[[1, 4], [2, 4], [4, 2], [6, 3], [14, 1]], 737/55738368], [[[1, 4], [2, 4], [4, 2], [6, 3], [18, 1]], 199/2985984], [[[1, 4], [2, 4], [4, 2], [6, 4], [8, 1]], 13/5971968], [[[1, 4], [2, 4], [4, 2], [6, 4], [10, 1]], 89/119439360], [[[1, 4], [2, 4], [4, 2], [6, 4], [12, 1]], 5/559872], [[[1, 4], [2, 4], [4, 2], [7, 1], [9, 1]], 89/774144], [[[1, 4], [2, 4], [4, 2], [8, 1], [10, 2]], 13/92160], [[[1, 4], [2, 4], [4, 2], [8, 2], [10, 1]], 3/10240], [[[1, 4], [2, 4], [4, 2], [8, 2], [12, 1]], 1/3072], [[[1, 4], [2, 4], [4, 2], [10, 2], [12, 1]], 31/230400], [[[1, 4], [2, 4], [4, 2], [14, 1], [18, 1]], 89/774144], [[[1, 4], [2, 4], [4, 3], [5, 1], [6, 3]], 5/663552], [[[1, 4], [2, 4], [4, 3], [5, 1], [7, 1]], 151/1290240], [[[1, 4], [2, 4], [4, 3], [5, 1], [9, 1]], 47/829440], [[[1, 4], [2, 4], [4, 3], [5, 1], [14, 1]], 1/17920], [[[1, 4], [2, 4], [4, 3], [5, 1], [18, 1]], 1/46080], [[[1, 4], [2, 4], [4, 3], [5, 2], [6, 1]], 43/2764800], [[[1, 4], [2, 4], [4, 3], [6, 1], [8, 2]], 155/442368], [[[1, 4], [2, 4], [4, 3], [6, 1], [10, 2]], 29/921600], [[[1, 4], [2, 4], [4, 3], [6, 1], [12, 2]], 1/36864], [[[1, 4], [2, 4], [4, 3], [6, 2], [7, 1]], 1/32256], [[[1, 4], [2, 4], [4, 3], [6, 2], [14, 1]], 5/193536], [[[1, 4], [2, 4], [4, 3], [6, 2], [18, 1]], 47/746496], [[[1, 4], [2, 4], [4, 3], [6, 3], [8, 1]], 103/1990656], [[[1, 4], [2, 4], [4, 3], [6, 3], [10, 1]], 551/59719680], [[[1, 4], [2, 4], [4, 3], [6, 3], [12, 1]], 91/3981312], [[[1, 4], [2, 4], [4, 3], [7, 1], [8, 1]], 37/147456], [[[1, 4], [2, 4], [4, 3], [7, 1], [10, 1]], 1/17920], [[[1, 4], [2, 4], [4, 3], [7, 1], [12, 1]], 1/10752], [[[1, 4], [2, 4], [4, 3], [8, 1], [9, 1]], 1/6912], [[[1, 4], [2, 4], [4, 3], [8, 1], [14, 1]], 37/147456], [[[1, 4], [2, 4], [4, 3], [8, 1], [18, 1]], 1/6912], [[[1, 4], [2, 4], [4, 3], [9, 1], [10, 1]], 1/46080], [[[1, 4], [2, 4], [4, 3], [9, 1], [12, 1]], 1/27648], [[[1, 4], [2, 4], [4, 3], [10, 1], [14, 1]], 151/1290240], [[[1, 4], [2, 4], [4, 3], [10, 1], [18, 1]], 47/829440], [[[1, 4], [2, 4], [4, 3], [12, 1], [14, 1]], 1/10752], [[[1, 4], [2, 4], [4, 3], [12, 1], [18, 1]], 1/27648], [[[1, 4], [2, 4], [4, 4], [5, 1], [6, 2]], 1/1658880], [[[1, 4], [2, 4], [4, 4], [5, 1], [8, 1]], 1/8192], [[[1, 4], [2, 4], [4, 4], [5, 1], [10, 1]], 107/2457600], [[[1, 4], [2, 4], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 4], [2, 4], [4, 4], [6, 1], [7, 1]], 113/1548288], [[[1, 4], [2, 4], [4, 4], [6, 1], [9, 1]], 1/663552], [[[1, 4], [2, 4], [4, 4], [6, 1], [14, 1]], 19/3096576], [[[1, 4], [2, 4], [4, 4], [6, 1], [18, 1]], 151/3981312], [[[1, 4], [2, 4], [4, 4], [6, 2], [8, 1]], 13/331776], [[[1, 4], [2, 4], [4, 4], [6, 2], [10, 1]], 5/1327104], [[[1, 4], [2, 4], [4, 4], [6, 2], [12, 1]], 103/3981312], [[[1, 4], [2, 4], [4, 4], [8, 1], [10, 1]], 1/8192], [[[1, 4], [2, 4], [4, 4], [8, 1], [12, 1]], 7/73728], [[[1, 4], [2, 4], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 4], [2, 4], [4, 5], [5, 1], [6, 1]], 1/368640], [[[1, 4], [2, 4], [4, 5], [6, 1], [8, 1]], 23/589824], [[[1, 4], [2, 4], [4, 5], [6, 1], [10, 1]], 1/245760], [[[1, 4], [2, 4], [4, 5], [6, 1], [12, 1]], 1/589824], [[[1, 4], [2, 4], [5, 1], [6, 1], [11, 1]], 1/7040], [[[1, 4], [2, 4], [5, 1], [6, 1], [22, 1]], 1/10560], [[[1, 4], [2, 4], [5, 1], [6, 2], [10, 2]], 7/108000], [[[1, 4], [2, 4], [5, 1], [6, 3], [7, 1]], 1/181440], [[[1, 4], [2, 4], [5, 1], [6, 3], [14, 1]], 5/290304], [[[1, 4], [2, 4], [5, 1], [6, 3], [18, 1]], 1/12960], [[[1, 4], [2, 4], [5, 1], [6, 4], [10, 1]], 11/8294400], [[[1, 4], [2, 4], [5, 1], [7, 1], [9, 1]], 181/5806080], [[[1, 4], [2, 4], [5, 1], [8, 1], [10, 2]], 121/192000], [[[1, 4], [2, 4], [5, 1], [8, 2], [10, 1]], 3/10240], [[[1, 4], [2, 4], [5, 1], [14, 1], [18, 1]], 1/20160], [[[1, 4], [2, 4], [5, 2], [6, 1], [7, 1]], 1/22400], [[[1, 4], [2, 4], [5, 2], [6, 1], [9, 1]], 7/518400], [[[1, 4], [2, 4], [5, 2], [6, 2], [8, 1]], 1/69120], [[[1, 4], [2, 4], [5, 2], [6, 2], [10, 1]], 1/8640], [[[1, 4], [2, 4], [5, 2], [8, 1], [10, 1]], 121/192000], [[[1, 4], [2, 4], [6, 1], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 4], [6, 1], [8, 1], [11, 1]], 1/5632], [[[1, 4], [2, 4], [6, 1], [8, 1], [22, 1]], 19/152064], [[[1, 4], [2, 4], [6, 1], [8, 2], [14, 1]], 1/18432], [[[1, 4], [2, 4], [6, 1], [8, 2], [18, 1]], 19/165888], [[[1, 4], [2, 4], [6, 1], [10, 1], [11, 1]], 1/15840], [[[1, 4], [2, 4], [6, 1], [10, 1], [22, 1]], 5/50688], [[[1, 4], [2, 4], [6, 1], [10, 2], [14, 1]], 7/115200], [[[1, 4], [2, 4], [6, 1], [10, 2], [18, 1]], 181/2073600], [[[1, 4], [2, 4], [6, 1], [12, 1], [22, 1]], 37/2433024], [[[1, 4], [2, 4], [6, 2], [7, 1], [9, 1]], 1/72576], [[[1, 4], [2, 4], [6, 2], [8, 1], [10, 2]], 17/2073600], [[[1, 4], [2, 4], [6, 2], [8, 2], [10, 1]], 1/276480], [[[1, 4], [2, 4], [6, 2], [10, 2], [12, 1]], 37/2764800], [[[1, 4], [2, 4], [6, 2], [14, 1], [18, 1]], 5/290304], [[[1, 4], [2, 4], [6, 3], [8, 1], [14, 1]], 137/10450944], [[[1, 4], [2, 4], [6, 3], [8, 1], [18, 1]], 11/139968], [[[1, 4], [2, 4], [6, 3], [10, 1], [14, 1]], 5413/418037760], [[[1, 4], [2, 4], [6, 3], [10, 1], [18, 1]], 7/116640], [[[1, 4], [2, 4], [6, 3], [12, 1], [14, 1]], 13/1161216], [[[1, 4], [2, 4], [6, 3], [12, 1], [18, 1]], 185/5971968], [[[1, 4], [2, 4], [6, 4], [8, 1], [10, 1]], 1/829440], [[[1, 4], [2, 4], [6, 4], [8, 1], [12, 1]], 1/1492992], [[[1, 4], [2, 4], [6, 4], [10, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 4], [7, 1], [8, 1], [9, 1]], 5/145152], [[[1, 4], [2, 4], [7, 1], [9, 1], [10, 1]], 1/20160], [[[1, 4], [2, 4], [8, 1], [14, 1], [18, 1]], 5/145152], [[[1, 4], [2, 4], [10, 1], [14, 1], [18, 1]], 181/5806080], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 5]], 7387/107495424], [[[1, 4], [2, 6], [3, 1], [4, 1], [11, 1]], 19/1520640], [[[1, 4], [2, 6], [3, 1], [4, 1], [22, 1]], 173/1520640], [[[1, 4], [2, 6], [3, 1], [4, 2], [5, 2]], 41/9216000], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 4]], 577039/4299816960], [[[1, 4], [2, 6], [3, 1], [4, 2], [8, 2]], 61/368640], [[[1, 4], [2, 6], [3, 1], [4, 2], [10, 2]], 179/1105920], [[[1, 4], [2, 6], [3, 1], [4, 2], [12, 2]], 1/442368], [[[1, 4], [2, 6], [3, 1], [4, 3], [6, 3]], 10127/71663616], [[[1, 4], [2, 6], [3, 1], [4, 3], [7, 1]], 409/92897280], [[[1, 4], [2, 6], [3, 1], [4, 3], [9, 1]], 529/39813120], [[[1, 4], [2, 6], [3, 1], [4, 3], [14, 1]], 47/290304], [[[1, 4], [2, 6], [3, 1], [4, 3], [18, 1]], 1/165888], [[[1, 4], [2, 6], [3, 1], [4, 4], [5, 1]], 49/8294400], [[[1, 4], [2, 6], [3, 1], [4, 4], [6, 2]], 2261/17694720], [[[1, 4], [2, 6], [3, 1], [4, 4], [8, 1]], 2437/26542080], [[[1, 4], [2, 6], [3, 1], [4, 4], [10, 1]], 7/207360], [[[1, 4], [2, 6], [3, 1], [4, 4], [12, 1]], 13/589824], [[[1, 4], [2, 6], [3, 1], [4, 5], [6, 1]], 239/10616832], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 4]], 67/2488320], [[[1, 4], [2, 6], [3, 1], [5, 1], [8, 2]], 1/368640], [[[1, 4], [2, 6], [3, 1], [5, 1], [10, 2]], 13/72000], [[[1, 4], [2, 6], [3, 1], [5, 2], [6, 2]], 2357/221184000], [[[1, 4], [2, 6], [3, 1], [5, 2], [8, 1]], 7/1843200], [[[1, 4], [2, 6], [3, 1], [5, 2], [10, 1]], 13/230400], [[[1, 4], [2, 6], [3, 1], [5, 2], [12, 1]], 31/110592000], [[[1, 4], [2, 6], [3, 1], [6, 1], [11, 1]], 119/7299072], [[[1, 4], [2, 6], [3, 1], [6, 1], [22, 1]], 12689/109486080], [[[1, 4], [2, 6], [3, 1], [6, 2], [8, 2]], 7/110592], [[[1, 4], [2, 6], [3, 1], [6, 2], [10, 2]], 151/388800], [[[1, 4], [2, 6], [3, 1], [6, 3], [7, 1]], 1/258048], [[[1, 4], [2, 6], [3, 1], [6, 3], [9, 1]], 1/373248], [[[1, 4], [2, 6], [3, 1], [6, 3], [14, 1]], 20929/78382080], [[[1, 4], [2, 6], [3, 1], [6, 3], [18, 1]], 237367/806215680], [[[1, 4], [2, 6], [3, 1], [6, 4], [8, 1]], 25453/537477120], [[[1, 4], [2, 6], [3, 1], [6, 4], [10, 1]], 28859/268738560], [[[1, 4], [2, 6], [3, 1], [6, 4], [12, 1]], 1961/53747712], [[[1, 4], [2, 6], [3, 1], [7, 1], [9, 1]], 61/34836480], [[[1, 4], [2, 6], [3, 1], [8, 1], [10, 2]], 13/307200], [[[1, 4], [2, 6], [3, 1], [8, 2], [10, 1]], 1/92160], [[[1, 4], [2, 6], [3, 1], [14, 1], [18, 1]], 19/1088640], [[[1, 4], [2, 6], [3, 2], [4, 1], [5, 2]], 49/41472000], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 4]], 4267/13271040], [[[1, 4], [2, 6], [3, 2], [4, 1], [8, 2]], 23/884736], [[[1, 4], [2, 6], [3, 2], [4, 1], [10, 2]], 61/1382400], [[[1, 4], [2, 6], [3, 2], [4, 2], [6, 3]], 20525/47775744], [[[1, 4], [2, 6], [3, 2], [4, 2], [7, 1]], 61/46448640], [[[1, 4], [2, 6], [3, 2], [4, 2], [9, 1]], 1193/119439360], [[[1, 4], [2, 6], [3, 2], [4, 2], [14, 1]], 7/184320], [[[1, 4], [2, 6], [3, 2], [4, 2], [18, 1]], 1/995328], [[[1, 4], [2, 6], [3, 2], [4, 3], [5, 1]], 1/1105920], [[[1, 4], [2, 6], [3, 2], [4, 3], [6, 2]], 665/2654208], [[[1, 4], [2, 6], [3, 2], [4, 3], [8, 1]], 1355/31850496], [[[1, 4], [2, 6], [3, 2], [4, 3], [10, 1]], 29/1105920], [[[1, 4], [2, 6], [3, 2], [4, 3], [12, 1]], 13/1327104], [[[1, 4], [2, 6], [3, 2], [4, 4], [6, 1]], 7559/254803968], [[[1, 4], [2, 6], [3, 2], [5, 1], [6, 3]], 1211/19906560], [[[1, 4], [2, 6], [3, 2], [5, 1], [7, 1]], 631/348364800], [[[1, 4], [2, 6], [3, 2], [5, 1], [9, 1]], 167/37324800], [[[1, 4], [2, 6], [3, 2], [5, 2], [6, 1]], 7/1036800], [[[1, 4], [2, 6], [3, 2], [6, 1], [8, 2]], 1/55296], [[[1, 4], [2, 6], [3, 2], [6, 1], [10, 2]], 15209/132710400], [[[1, 4], [2, 6], [3, 2], [6, 2], [7, 1]], 2447/92897280], [[[1, 4], [2, 6], [3, 2], [6, 2], [9, 1]], 4907/119439360], [[[1, 4], [2, 6], [3, 2], [6, 2], [14, 1]], 16783/55738368], [[[1, 4], [2, 6], [3, 2], [6, 2], [18, 1]], 7607/39813120], [[[1, 4], [2, 6], [3, 2], [6, 3], [8, 1]], 20891/71663616], [[[1, 4], [2, 6], [3, 2], [6, 3], [10, 1]], 36749/71663616], [[[1, 4], [2, 6], [3, 2], [6, 3], [12, 1]], 4543/79626240], [[[1, 4], [2, 6], [3, 2], [7, 1], [8, 1]], 1/193536], [[[1, 4], [2, 6], [3, 2], [7, 1], [12, 1]], 61/46448640], [[[1, 4], [2, 6], [3, 2], [8, 1], [9, 1]], 37/2985984], [[[1, 4], [2, 6], [3, 2], [8, 1], [14, 1]], 5/290304], [[[1, 4], [2, 6], [3, 2], [9, 1], [10, 1]], 1/1244160], [[[1, 4], [2, 6], [3, 2], [9, 1], [12, 1]], 91/59719680], [[[1, 4], [2, 6], [3, 2], [10, 1], [14, 1]], 67/2903040], [[[1, 4], [2, 6], [3, 2], [10, 1], [18, 1]], 1/311040], [[[1, 4], [2, 6], [3, 3], [4, 1], [6, 3]], 147763/358318080], [[[1, 4], [2, 6], [3, 3], [4, 1], [7, 1]], 587/418037760], [[[1, 4], [2, 6], [3, 3], [4, 1], [9, 1]], 337/44789760], [[[1, 4], [2, 6], [3, 3], [4, 1], [14, 1]], 1/145152], [[[1, 4], [2, 6], [3, 3], [4, 2], [5, 1]], 883/1194393600], [[[1, 4], [2, 6], [3, 3], [4, 2], [6, 2]], 11989/59719680], [[[1, 4], [2, 6], [3, 3], [4, 2], [8, 1]], 559/53084160], [[[1, 4], [2, 6], [3, 3], [4, 2], [10, 1]], 199/39813120], [[[1, 4], [2, 6], [3, 3], [4, 2], [12, 1]], 289/238878720], [[[1, 4], [2, 6], [3, 3], [4, 3], [6, 1]], 781/26542080], [[[1, 4], [2, 6], [3, 3], [5, 1], [6, 2]], 7757/199065600], [[[1, 4], [2, 6], [3, 3], [5, 1], [8, 1]], 37/59719680], [[[1, 4], [2, 6], [3, 3], [5, 1], [10, 1]], 1963/238878720], [[[1, 4], [2, 6], [3, 3], [5, 1], [12, 1]], 31/99532800], [[[1, 4], [2, 6], [3, 3], [6, 1], [7, 1]], 121/20901888], [[[1, 4], [2, 6], [3, 3], [6, 1], [9, 1]], 127/5971968], [[[1, 4], [2, 6], [3, 3], [6, 1], [14, 1]], 121/8709120], [[[1, 4], [2, 6], [3, 3], [6, 1], [18, 1]], 7/1119744], [[[1, 4], [2, 6], [3, 3], [6, 2], [8, 1]], 7811/119439360], [[[1, 4], [2, 6], [3, 3], [6, 2], [10, 1]], 839/5971968], [[[1, 4], [2, 6], [3, 3], [6, 2], [12, 1]], 197/15925248], [[[1, 4], [2, 6], [3, 3], [8, 1], [12, 1]], 1/3981312], [[[1, 4], [2, 6], [3, 4], [4, 1], [5, 1]], 1/3732480], [[[1, 4], [2, 6], [3, 4], [4, 1], [6, 2]], 181/4976640], [[[1, 4], [2, 6], [3, 4], [4, 1], [8, 1]], 883/716636160], [[[1, 4], [2, 6], [3, 4], [4, 1], [12, 1]], 1/3732480], [[[1, 4], [2, 6], [3, 4], [4, 2], [6, 1]], 301/159252480], [[[1, 4], [2, 6], [3, 4], [5, 1], [6, 1]], 187/179159040], [[[1, 4], [2, 6], [3, 4], [6, 1], [8, 1]], 277/71663616], [[[1, 4], [2, 6], [3, 4], [6, 1], [10, 1]], 1/1866240], [[[1, 4], [2, 6], [3, 4], [6, 1], [12, 1]], 5/3981312], [[[1, 4], [2, 6], [3, 5], [4, 1], [6, 1]], 5/7962624], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 4]], 19/1399680], [[[1, 4], [2, 6], [4, 1], [5, 1], [8, 2]], 7/81920], [[[1, 4], [2, 6], [4, 1], [5, 1], [10, 2]], 6367/9216000], [[[1, 4], [2, 6], [4, 1], [5, 2], [6, 2]], 1/276480], [[[1, 4], [2, 6], [4, 1], [5, 2], [8, 1]], 1153/36864000], [[[1, 4], [2, 6], [4, 1], [5, 2], [10, 1]], 1687/9216000], [[[1, 4], [2, 6], [4, 1], [5, 2], [12, 1]], 1/2764800], [[[1, 4], [2, 6], [4, 1], [6, 1], [11, 1]], 19/608256], [[[1, 4], [2, 6], [4, 1], [6, 1], [22, 1]], 91/456192], [[[1, 4], [2, 6], [4, 1], [6, 2], [8, 2]], 583/3981312], [[[1, 4], [2, 6], [4, 1], [6, 2], [10, 2]], 31/172800], [[[1, 4], [2, 6], [4, 1], [6, 2], [12, 2]], 1/248832], [[[1, 4], [2, 6], [4, 1], [6, 3], [14, 1]], 8821/69672960], [[[1, 4], [2, 6], [4, 1], [6, 3], [18, 1]], 2945/13436928], [[[1, 4], [2, 6], [4, 1], [6, 4], [8, 1]], 8111/358318080], [[[1, 4], [2, 6], [4, 1], [6, 4], [10, 1]], 149/5598720], [[[1, 4], [2, 6], [4, 1], [6, 4], [12, 1]], 161/6718464], [[[1, 4], [2, 6], [4, 1], [7, 1], [9, 1]], 23/5806080], [[[1, 4], [2, 6], [4, 1], [8, 1], [10, 2]], 3071/7372800], [[[1, 4], [2, 6], [4, 1], [8, 2], [10, 1]], 119/368640], [[[1, 4], [2, 6], [4, 1], [10, 2], [12, 1]], 19/460800], [[[1, 4], [2, 6], [4, 1], [14, 1], [18, 1]], 3/35840], [[[1, 4], [2, 6], [4, 2], [5, 1], [6, 3]], 803/29859840], [[[1, 4], [2, 6], [4, 2], [5, 1], [7, 1]], 2483/154828800], [[[1, 4], [2, 6], [4, 2], [5, 1], [9, 1]], 151/16588800], [[[1, 4], [2, 6], [4, 2], [5, 1], [14, 1]], 113/1612800], [[[1, 4], [2, 6], [4, 2], [5, 1], [18, 1]], 1/138240], [[[1, 4], [2, 6], [4, 2], [5, 2], [6, 1]], 39/2048000], [[[1, 4], [2, 6], [4, 2], [6, 1], [8, 2]], 29/55296], [[[1, 4], [2, 6], [4, 2], [6, 1], [10, 2]], 811/2764800], [[[1, 4], [2, 6], [4, 2], [6, 1], [12, 2]], 1/221184], [[[1, 4], [2, 6], [4, 2], [6, 2], [7, 1]], 1/48384], [[[1, 4], [2, 6], [4, 2], [6, 2], [9, 1]], 1/331776], [[[1, 4], [2, 6], [4, 2], [6, 2], [14, 1]], 2437/9289728], [[[1, 4], [2, 6], [4, 2], [6, 2], [18, 1]], 7583/23887872], [[[1, 4], [2, 6], [4, 2], [6, 3], [8, 1]], 93917/477757440], [[[1, 4], [2, 6], [4, 2], [6, 3], [10, 1]], 28151/238878720], [[[1, 4], [2, 6], [4, 2], [6, 3], [12, 1]], 14503/143327232], [[[1, 4], [2, 6], [4, 2], [7, 1], [8, 1]], 1/32256], [[[1, 4], [2, 6], [4, 2], [7, 1], [10, 1]], 19/1290240], [[[1, 4], [2, 6], [4, 2], [7, 1], [12, 1]], 1/110592], [[[1, 4], [2, 6], [4, 2], [8, 1], [9, 1]], 31/737280], [[[1, 4], [2, 6], [4, 2], [8, 1], [14, 1]], 689/1548288], [[[1, 4], [2, 6], [4, 2], [8, 1], [18, 1]], 637/6635520], [[[1, 4], [2, 6], [4, 2], [9, 1], [10, 1]], 7/552960], [[[1, 4], [2, 6], [4, 2], [9, 1], [12, 1]], 1/331776], [[[1, 4], [2, 6], [4, 2], [10, 1], [14, 1]], 3113/6193152], [[[1, 4], [2, 6], [4, 2], [10, 1], [18, 1]], 347/3317760], [[[1, 4], [2, 6], [4, 2], [12, 1], [14, 1]], 121/1935360], [[[1, 4], [2, 6], [4, 2], [12, 1], [18, 1]], 1/165888], [[[1, 4], [2, 6], [4, 3], [5, 1], [6, 2]], 17/414720], [[[1, 4], [2, 6], [4, 3], [5, 1], [8, 1]], 257/1638400], [[[1, 4], [2, 6], [4, 3], [5, 1], [10, 1]], 3221/14745600], [[[1, 4], [2, 6], [4, 3], [5, 1], [12, 1]], 1/36864], [[[1, 4], [2, 6], [4, 3], [6, 1], [7, 1]], 5/258048], [[[1, 4], [2, 6], [4, 3], [6, 1], [9, 1]], 1/82944], [[[1, 4], [2, 6], [4, 3], [6, 1], [14, 1]], 71/344064], [[[1, 4], [2, 6], [4, 3], [6, 1], [18, 1]], 1727/11943936], [[[1, 4], [2, 6], [4, 3], [6, 2], [8, 1]], 3815/10616832], [[[1, 4], [2, 6], [4, 3], [6, 2], [10, 1]], 1487/9953280], [[[1, 4], [2, 6], [4, 3], [6, 2], [12, 1]], 97/995328], [[[1, 4], [2, 6], [4, 3], [8, 1], [10, 1]], 3593/8847360], [[[1, 4], [2, 6], [4, 3], [8, 1], [12, 1]], 83/552960], [[[1, 4], [2, 6], [4, 3], [10, 1], [12, 1]], 13/138240], [[[1, 4], [2, 6], [4, 4], [5, 1], [6, 1]], 137/6635520], [[[1, 4], [2, 6], [4, 4], [6, 1], [8, 1]], 619/2654208], [[[1, 4], [2, 6], [4, 4], [6, 1], [10, 1]], 4481/53084160], [[[1, 4], [2, 6], [4, 4], [6, 1], [12, 1]], 5173/127401984], [[[1, 4], [2, 6], [5, 1], [6, 1], [10, 2]], 653/1728000], [[[1, 4], [2, 6], [5, 1], [6, 2], [7, 1]], 1/645120], [[[1, 4], [2, 6], [5, 1], [6, 2], [14, 1]], 13/241920], [[[1, 4], [2, 6], [5, 1], [6, 2], [18, 1]], 1/13824], [[[1, 4], [2, 6], [5, 1], [6, 3], [8, 1]], 1/103680], [[[1, 4], [2, 6], [5, 1], [6, 3], [10, 1]], 32401/398131200], [[[1, 4], [2, 6], [5, 1], [6, 3], [12, 1]], 1/138240], [[[1, 4], [2, 6], [5, 1], [7, 1], [8, 1]], 1/143360], [[[1, 4], [2, 6], [5, 1], [7, 1], [10, 1]], 1/268800], [[[1, 4], [2, 6], [5, 1], [8, 1], [9, 1]], 1/829440], [[[1, 4], [2, 6], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 4], [2, 6], [5, 1], [9, 1], [10, 1]], 43/3317760], [[[1, 4], [2, 6], [5, 1], [10, 1], [14, 1]], 3/22400], [[[1, 4], [2, 6], [5, 1], [10, 1], [18, 1]], 29/1105920], [[[1, 4], [2, 6], [5, 2], [6, 1], [8, 1]], 17/5529600], [[[1, 4], [2, 6], [5, 2], [6, 1], [10, 1]], 11/86400], [[[1, 4], [2, 6], [6, 1], [7, 1], [9, 1]], 1/290304], [[[1, 4], [2, 6], [6, 1], [8, 1], [10, 2]], 1111/8294400], [[[1, 4], [2, 6], [6, 1], [8, 2], [10, 1]], 23/552960], [[[1, 4], [2, 6], [6, 1], [10, 2], [12, 1]], 361/22118400], [[[1, 4], [2, 6], [6, 1], [14, 1], [18, 1]], 2867/34836480], [[[1, 4], [2, 6], [6, 2], [8, 1], [14, 1]], 421/4354560], [[[1, 4], [2, 6], [6, 2], [8, 1], [18, 1]], 361/2488320], [[[1, 4], [2, 6], [6, 2], [10, 1], [14, 1]], 331/1990656], [[[1, 4], [2, 6], [6, 2], [10, 1], [18, 1]], 31/138240], [[[1, 4], [2, 6], [6, 2], [12, 1], [14, 1]], 1387/46448640], [[[1, 4], [2, 6], [6, 2], [12, 1], [18, 1]], 145/11943936], [[[1, 4], [2, 6], [6, 3], [8, 1], [10, 1]], 1841/49766400], [[[1, 4], [2, 6], [6, 3], [8, 1], [12, 1]], 11/1990656], [[[1, 4], [2, 6], [6, 3], [10, 1], [12, 1]], 137/6635520], [[[1, 4], [2, 6], [8, 1], [10, 1], [14, 1]], 1811/9676800], [[[1, 4], [2, 6], [8, 1], [10, 1], [18, 1]], 23/2073600], [[[1, 4], [2, 8], [3, 1], [4, 1], [5, 2]], 1/6912000], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 4]], 382159/2006581248], [[[1, 4], [2, 8], [3, 1], [4, 1], [8, 2]], 1/155520], [[[1, 4], [2, 8], [3, 1], [4, 1], [10, 2]], 117769/1741824000], [[[1, 4], [2, 8], [3, 1], [4, 2], [6, 3]], 2008247/7524679680], [[[1, 4], [2, 8], [3, 1], [4, 2], [7, 1]], 43/61931520], [[[1, 4], [2, 8], [3, 1], [4, 2], [9, 1]], 101/79626240], [[[1, 4], [2, 8], [3, 1], [4, 2], [14, 1]], 16423/278691840], [[[1, 4], [2, 8], [3, 1], [4, 2], [18, 1]], 337/278691840], [[[1, 4], [2, 8], [3, 1], [4, 3], [5, 1]], 37/44236800], [[[1, 4], [2, 8], [3, 1], [4, 3], [6, 2]], 702607/4459069440], [[[1, 4], [2, 8], [3, 1], [4, 3], [8, 1]], 36349/955514880], [[[1, 4], [2, 8], [3, 1], [4, 3], [10, 1]], 869/16588800], [[[1, 4], [2, 8], [3, 1], [4, 3], [12, 1]], 121/106168320], [[[1, 4], [2, 8], [3, 1], [4, 4], [6, 1]], 124627/3344302080], [[[1, 4], [2, 8], [3, 1], [5, 1], [6, 3]], 781/55987200], [[[1, 4], [2, 8], [3, 1], [5, 1], [7, 1]], 23/464486400], [[[1, 4], [2, 8], [3, 1], [5, 1], [9, 1]], 7/99532800], [[[1, 4], [2, 8], [3, 1], [5, 1], [14, 1]], 1/1209600], [[[1, 4], [2, 8], [3, 1], [5, 2], [6, 1]], 23/165888000], [[[1, 4], [2, 8], [3, 1], [6, 1], [8, 2]], 13/2211840], [[[1, 4], [2, 8], [3, 1], [6, 1], [10, 2]], 663949/3483648000], [[[1, 4], [2, 8], [3, 1], [6, 2], [7, 1]], 107/123863040], [[[1, 4], [2, 8], [3, 1], [6, 2], [9, 1]], 1/1492992], [[[1, 4], [2, 8], [3, 1], [6, 2], [14, 1]], 9329/52254720], [[[1, 4], [2, 8], [3, 1], [6, 2], [18, 1]], 6091/80621568], [[[1, 4], [2, 8], [3, 1], [6, 3], [8, 1]], 30863/358318080], [[[1, 4], [2, 8], [3, 1], [6, 3], [10, 1]], 5263673/18811699200], [[[1, 4], [2, 8], [3, 1], [6, 3], [12, 1]], 2873/179159040], [[[1, 4], [2, 8], [3, 1], [7, 1], [8, 1]], 1/11612160], [[[1, 4], [2, 8], [3, 1], [7, 1], [12, 1]], 1/61931520], [[[1, 4], [2, 8], [3, 1], [8, 1], [9, 1]], 1/4976640], [[[1, 4], [2, 8], [3, 1], [8, 1], [14, 1]], 1/110592], [[[1, 4], [2, 8], [3, 1], [8, 1], [18, 1]], 1/14929920], [[[1, 4], [2, 8], [3, 1], [10, 1], [14, 1]], 22559/522547200], [[[1, 4], [2, 8], [3, 1], [10, 1], [18, 1]], 29/16329600], [[[1, 4], [2, 8], [3, 2], [4, 1], [6, 3]], 145273/537477120], [[[1, 4], [2, 8], [3, 2], [4, 1], [7, 1]], 1/4644864], [[[1, 4], [2, 8], [3, 2], [4, 1], [9, 1]], 19/29859840], [[[1, 4], [2, 8], [3, 2], [4, 1], [14, 1]], 47/5806080], [[[1, 4], [2, 8], [3, 2], [4, 1], [18, 1]], 1/7464960], [[[1, 4], [2, 8], [3, 2], [4, 2], [5, 1]], 29/132710400], [[[1, 4], [2, 8], [3, 2], [4, 2], [6, 2]], 859/4976640], [[[1, 4], [2, 8], [3, 2], [4, 2], [8, 1]], 251/47775744], [[[1, 4], [2, 8], [3, 2], [4, 2], [10, 1]], 463/58060800], [[[1, 4], [2, 8], [3, 2], [4, 2], [12, 1]], 11/53084160], [[[1, 4], [2, 8], [3, 2], [4, 3], [6, 1]], 46349/1911029760], [[[1, 4], [2, 8], [3, 2], [5, 1], [6, 2]], 7567/2388787200], [[[1, 4], [2, 8], [3, 2], [5, 1], [10, 1]], 97/59719680], [[[1, 4], [2, 8], [3, 2], [5, 1], [12, 1]], 1/132710400], [[[1, 4], [2, 8], [3, 2], [6, 1], [7, 1]], 1/2177280], [[[1, 4], [2, 8], [3, 2], [6, 1], [9, 1]], 37/44789760], [[[1, 4], [2, 8], [3, 2], [6, 1], [14, 1]], 16673/557383680], [[[1, 4], [2, 8], [3, 2], [6, 1], [18, 1]], 17/5598720], [[[1, 4], [2, 8], [3, 2], [6, 2], [8, 1]], 10193/278691840], [[[1, 4], [2, 8], [3, 2], [6, 2], [10, 1]], 1588073/8360755200], [[[1, 4], [2, 8], [3, 2], [6, 2], [12, 1]], 7/4976640], [[[1, 4], [2, 8], [3, 2], [8, 1], [10, 1]], 1/829440], [[[1, 4], [2, 8], [3, 3], [4, 1], [5, 1]], 1/47775744], [[[1, 4], [2, 8], [3, 3], [4, 1], [6, 2]], 20557/627056640], [[[1, 4], [2, 8], [3, 3], [4, 1], [8, 1]], 1/4718592], [[[1, 4], [2, 8], [3, 3], [4, 1], [10, 1]], 1/2073600], [[[1, 4], [2, 8], [3, 3], [4, 1], [12, 1]], 1/79626240], [[[1, 4], [2, 8], [3, 3], [4, 2], [6, 1]], 1093/278691840], [[[1, 4], [2, 8], [3, 3], [5, 1], [6, 1]], 37/298598400], [[[1, 4], [2, 8], [3, 3], [6, 1], [8, 1]], 17/23887872], [[[1, 4], [2, 8], [3, 3], [6, 1], [10, 1]], 13/3265920], [[[1, 4], [2, 8], [3, 3], [6, 1], [12, 1]], 1/6635520], [[[1, 4], [2, 8], [3, 4], [4, 1], [6, 1]], 899/1433272320], [[[1, 4], [2, 8], [4, 1], [5, 1], [6, 3]], 2987/179159040], [[[1, 4], [2, 8], [4, 1], [5, 1], [7, 1]], 1/3096576], [[[1, 4], [2, 8], [4, 1], [5, 1], [9, 1]], 1/16588800], [[[1, 4], [2, 8], [4, 1], [5, 1], [14, 1]], 1/71680], [[[1, 4], [2, 8], [4, 1], [5, 1], [18, 1]], 7/12441600], [[[1, 4], [2, 8], [4, 1], [5, 2], [6, 1]], 7/27648000], [[[1, 4], [2, 8], [4, 1], [6, 1], [8, 2]], 227/3732480], [[[1, 4], [2, 8], [4, 1], [6, 1], [10, 2]], 2423/6912000], [[[1, 4], [2, 8], [4, 1], [6, 1], [12, 2]], 1/9953280], [[[1, 4], [2, 8], [4, 1], [6, 2], [14, 1]], 599/2580480], [[[1, 4], [2, 8], [4, 1], [6, 2], [18, 1]], 43213/268738560], [[[1, 4], [2, 8], [4, 1], [6, 3], [8, 1]], 35771/334430208], [[[1, 4], [2, 8], [4, 1], [6, 3], [10, 1]], 191279/1003290624], [[[1, 4], [2, 8], [4, 1], [6, 3], [12, 1]], 66097/2149908480], [[[1, 4], [2, 8], [4, 1], [7, 1], [8, 1]], 47/61931520], [[[1, 4], [2, 8], [4, 1], [8, 1], [9, 1]], 7/8847360], [[[1, 4], [2, 8], [4, 1], [8, 1], [14, 1]], 12679/139345920], [[[1, 4], [2, 8], [4, 1], [8, 1], [18, 1]], 73/13934592], [[[1, 4], [2, 8], [4, 1], [10, 1], [14, 1]], 6455/27869184], [[[1, 4], [2, 8], [4, 1], [10, 1], [18, 1]], 7919/348364800], [[[1, 4], [2, 8], [4, 1], [12, 1], [14, 1]], 1/276480], [[[1, 4], [2, 8], [4, 1], [12, 1], [18, 1]], 1/7464960], [[[1, 4], [2, 8], [4, 2], [5, 1], [6, 2]], 1/48600], [[[1, 4], [2, 8], [4, 2], [5, 1], [8, 1]], 299/22118400], [[[1, 4], [2, 8], [4, 2], [5, 1], [10, 1]], 20851/258048000], [[[1, 4], [2, 8], [4, 2], [6, 1], [7, 1]], 61/30965760], [[[1, 4], [2, 8], [4, 2], [6, 1], [9, 1]], 1/884736], [[[1, 4], [2, 8], [4, 2], [6, 1], [14, 1]], 1733/6881280], [[[1, 4], [2, 8], [4, 2], [6, 1], [18, 1]], 26861/238878720], [[[1, 4], [2, 8], [4, 2], [6, 2], [8, 1]], 6253/26542080], [[[1, 4], [2, 8], [4, 2], [6, 2], [10, 1]], 132457/398131200], [[[1, 4], [2, 8], [4, 2], [6, 2], [12, 1]], 4313/95551488], [[[1, 4], [2, 8], [4, 2], [8, 1], [10, 1]], 683/2654208], [[[1, 4], [2, 8], [4, 2], [8, 1], [12, 1]], 7/1990656], [[[1, 4], [2, 8], [4, 2], [10, 1], [12, 1]], 473/29030400], [[[1, 4], [2, 8], [4, 3], [5, 1], [6, 1]], 121/8294400], [[[1, 4], [2, 8], [4, 3], [6, 1], [8, 1]], 4453/26542080], [[[1, 4], [2, 8], [4, 3], [6, 1], [10, 1]], 76639/398131200], [[[1, 4], [2, 8], [4, 3], [6, 1], [12, 1]], 6221/318504960], [[[1, 4], [2, 8], [5, 1], [6, 1], [7, 1]], 1/19353600], [[[1, 4], [2, 8], [5, 1], [6, 1], [14, 1]], 73/4838400], [[[1, 4], [2, 8], [5, 1], [6, 1], [18, 1]], 1/230400], [[[1, 4], [2, 8], [5, 1], [6, 2], [8, 1]], 1/276480], [[[1, 4], [2, 8], [5, 1], [6, 2], [10, 1]], 12151/165888000], [[[1, 4], [2, 8], [5, 1], [6, 2], [12, 1]], 1/1382400], [[[1, 4], [2, 8], [5, 1], [8, 1], [10, 1]], 3583/248832000], [[[1, 4], [2, 8], [6, 1], [8, 1], [14, 1]], 6539/104509440], [[[1, 4], [2, 8], [6, 1], [8, 1], [18, 1]], 5267/313528320], [[[1, 4], [2, 8], [6, 1], [10, 1], [14, 1]], 346349/2090188800], [[[1, 4], [2, 8], [6, 1], [10, 1], [18, 1]], 767/12902400], [[[1, 4], [2, 8], [6, 1], [12, 1], [14, 1]], 353/92897280], [[[1, 4], [2, 8], [6, 2], [8, 1], [10, 1]], 743/9676800], [[[1, 4], [2, 8], [6, 2], [8, 1], [12, 1]], 169/139345920], [[[1, 4], [2, 8], [6, 2], [10, 1], [12, 1]], 1891/154828800], [[[1, 4], [2, 10], [3, 1], [4, 1], [6, 3]], 1173449/14108774400], [[[1, 4], [2, 10], [3, 1], [4, 1], [7, 1]], 1/247726080], [[[1, 4], [2, 10], [3, 1], [4, 1], [9, 1]], 1/106168320], [[[1, 4], [2, 10], [3, 1], [4, 1], [14, 1]], 10429/2090188800], [[[1, 4], [2, 10], [3, 1], [4, 1], [18, 1]], 383/6270566400], [[[1, 4], [2, 10], [3, 1], [4, 2], [5, 1]], 239/7431782400], [[[1, 4], [2, 10], [3, 1], [4, 2], [6, 2]], 9812477/160526499840], [[[1, 4], [2, 10], [3, 1], [4, 2], [8, 1]], 3163/1486356480], [[[1, 4], [2, 10], [3, 1], [4, 2], [10, 1]], 1987/209018880], [[[1, 4], [2, 10], [3, 1], [4, 2], [12, 1]], 223/8918138880], [[[1, 4], [2, 10], [3, 1], [4, 3], [6, 1]], 1462583/100329062400], [[[1, 4], [2, 10], [3, 1], [5, 1], [6, 2]], 337/391910400], [[[1, 4], [2, 10], [3, 1], [5, 1], [10, 1]], 19529/83607552000], [[[1, 4], [2, 10], [3, 1], [6, 1], [7, 1]], 1/185794560], [[[1, 4], [2, 10], [3, 1], [6, 1], [9, 1]], 1/238878720], [[[1, 4], [2, 10], [3, 1], [6, 1], [14, 1]], 275083/21946982400], [[[1, 4], [2, 10], [3, 1], [6, 1], [18, 1]], 613/418037760], [[[1, 4], [2, 10], [3, 1], [6, 2], [8, 1]], 9017/940584960], [[[1, 4], [2, 10], [3, 1], [6, 2], [10, 1]], 93773/1343692800], [[[1, 4], [2, 10], [3, 1], [6, 2], [12, 1]], 7157/15049359360], [[[1, 4], [2, 10], [3, 1], [8, 1], [10, 1]], 43/65318400], [[[1, 4], [2, 10], [3, 2], [4, 1], [6, 2]], 182939/10032906240], [[[1, 4], [2, 10], [3, 2], [4, 1], [8, 1]], 647/13377208320], [[[1, 4], [2, 10], [3, 2], [4, 1], [10, 1]], 683/1045094400], [[[1, 4], [2, 10], [3, 2], [4, 2], [6, 1]], 212297/53508833280], [[[1, 4], [2, 10], [3, 2], [5, 1], [6, 1]], 1/278691840], [[[1, 4], [2, 10], [3, 2], [6, 1], [8, 1]], 23791/100329062400], [[[1, 4], [2, 10], [3, 2], [6, 1], [10, 1]], 224591/50164531200], [[[1, 4], [2, 10], [3, 2], [6, 1], [12, 1]], 11/2229534720], [[[1, 4], [2, 10], [3, 3], [4, 1], [6, 1]], 33847/200658124800], [[[1, 4], [2, 10], [4, 1], [5, 1], [6, 2]], 9811/3135283200], [[[1, 4], [2, 10], [4, 1], [5, 1], [8, 1]], 563/3715891200], [[[1, 4], [2, 10], [4, 1], [5, 1], [10, 1]], 180127/37158912000], [[[1, 4], [2, 10], [4, 1], [6, 1], [14, 1]], 187771/3901685760], [[[1, 4], [2, 10], [4, 1], [6, 1], [18, 1]], 10669/1003290624], [[[1, 4], [2, 10], [4, 1], [6, 2], [8, 1]], 21323/627056640], [[[1, 4], [2, 10], [4, 1], [6, 2], [10, 1]], 1533533/12541132800], [[[1, 4], [2, 10], [4, 1], [6, 2], [12, 1]], 50879/15049359360], [[[1, 4], [2, 10], [4, 1], [8, 1], [10, 1]], 164627/8360755200], [[[1, 4], [2, 10], [4, 1], [8, 1], [12, 1]], 1/61931520], [[[1, 4], [2, 10], [4, 1], [10, 1], [12, 1]], 17/37324800], [[[1, 4], [2, 10], [4, 2], [5, 1], [6, 1]], 839/522547200], [[[1, 4], [2, 10], [4, 2], [6, 1], [8, 1]], 33941/955514880], [[[1, 4], [2, 10], [4, 2], [6, 1], [10, 1]], 1806239/16721510400], [[[1, 4], [2, 10], [4, 2], [6, 1], [12, 1]], 168977/80263249920], [[[1, 4], [2, 10], [5, 1], [6, 1], [8, 1]], 1/9676800], [[[1, 4], [2, 10], [5, 1], [6, 1], [10, 1]], 15671/2322432000], [[[1, 4], [2, 10], [5, 1], [6, 1], [12, 1]], 1/154828800], [[[1, 4], [2, 10], [6, 1], [8, 1], [10, 1]], 6533/464486400], [[[1, 4], [2, 10], [6, 1], [8, 1], [12, 1]], 383/16721510400], [[[1, 4], [2, 10], [6, 1], [10, 1], [12, 1]], 1613/2786918400], [[[1, 4], [2, 12], [3, 1], [4, 1], [5, 1]], 1/2612736000], [[[1, 4], [2, 12], [3, 1], [4, 1], [6, 2]], 4741069/827714764800], [[[1, 4], [2, 12], [3, 1], [4, 1], [8, 1]], 2639/78829977600], [[[1, 4], [2, 12], [3, 1], [4, 1], [10, 1]], 35729/76640256000], [[[1, 4], [2, 12], [3, 1], [4, 1], [12, 1]], 1/6270566400], [[[1, 4], [2, 12], [3, 1], [4, 2], [6, 1]], 23106289/13243436236800], [[[1, 4], [2, 12], [3, 1], [5, 1], [6, 1]], 761/114960384000], [[[1, 4], [2, 12], [3, 1], [6, 1], [8, 1]], 218509/1655429529600], [[[1, 4], [2, 12], [3, 1], [6, 1], [10, 1]], 8942233/4138573824000], [[[1, 4], [2, 12], [3, 1], [6, 1], [12, 1]], 941/1655429529600], [[[1, 4], [2, 12], [3, 2], [4, 1], [6, 1]], 52783/367873228800], [[[1, 4], [2, 12], [4, 1], [5, 1], [6, 1]], 2629/31352832000], [[[1, 4], [2, 12], [4, 1], [6, 1], [8, 1]], 65923/40131624960], [[[1, 4], [2, 12], [4, 1], [6, 1], [10, 1]], 1452893/125411328000], [[[1, 4], [2, 12], [4, 1], [6, 1], [12, 1]], 19373/331085905920], [[[1, 4], [2, 14], [3, 1], [4, 1], [6, 1]], 67913/980995276800], [[[1, 4], [3, 1], [4, 1], [8, 1], [9, 2]], 1/31104], [[[1, 4], [3, 1], [4, 2], [5, 1], [11, 1]], 1/21120], [[[1, 4], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 4], [3, 1], [4, 2], [5, 2], [9, 1]], 1/172800], [[[1, 4], [3, 1], [4, 2], [6, 2], [11, 1]], 1/1216512], [[[1, 4], [3, 1], [4, 2], [11, 1], [12, 1]], 1/202752], [[[1, 4], [3, 1], [4, 4], [5, 1], [7, 1]], 1/645120], [[[1, 4], [3, 1], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 4], [3, 1], [5, 1], [11, 1], [12, 1]], 1/10560], [[[1, 4], [3, 1], [5, 2], [6, 2], [7, 1]], 1/67200], [[[1, 4], [3, 1], [5, 2], [7, 1], [12, 1]], 1/11200], [[[1, 4], [3, 2], [4, 1], [8, 1], [11, 1]], 1/76032], [[[1, 4], [3, 2], [4, 2], [5, 2], [6, 2]], 1/1382400], [[[1, 4], [3, 2], [4, 2], [5, 2], [12, 1]], 1/230400], [[[1, 4], [3, 2], [4, 2], [6, 2], [12, 2]], 11/82944], [[[1, 4], [3, 2], [4, 2], [6, 4], [12, 1]], 1/1492992], [[[1, 4], [3, 2], [4, 2], [7, 1], [9, 1]], 1/24192], [[[1, 4], [3, 2], [4, 3], [8, 1], [9, 1]], 1/165888], [[[1, 4], [3, 2], [4, 4], [6, 2], [12, 1]], 1/331776], [[[1, 4], [3, 2], [5, 1], [7, 1], [9, 1]], 17/45360], [[[1, 4], [3, 2], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 4], [3, 2], [7, 1], [9, 1], [12, 1]], 1/9072], [[[1, 4], [3, 3], [4, 1], [5, 2], [8, 1]], 1/4147200], [[[1, 4], [3, 3], [4, 2], [5, 1], [7, 1]], 7/4976640], [[[1, 4], [3, 3], [4, 2], [5, 1], [9, 1]], 1/38880], [[[1, 4], [3, 3], [4, 2], [6, 2], [7, 1]], 1/580608], [[[1, 4], [3, 3], [4, 2], [6, 2], [9, 1]], 5/2985984], [[[1, 4], [3, 3], [4, 2], [7, 1], [12, 1]], 1/96768], [[[1, 4], [3, 3], [4, 2], [9, 1], [12, 1]], 5/497664], [[[1, 4], [3, 3], [5, 1], [6, 2], [7, 1]], 1/72576], [[[1, 4], [3, 3], [5, 1], [6, 2], [9, 1]], 1/155520], [[[1, 4], [3, 3], [5, 1], [7, 1], [12, 1]], 1/12096], [[[1, 4], [3, 3], [5, 1], [9, 1], [12, 1]], 1/25920], [[[1, 4], [3, 4], [4, 1], [7, 1], [8, 1]], 1/1741824], [[[1, 4], [3, 4], [4, 1], [8, 1], [9, 1]], 5/746496], [[[1, 4], [3, 4], [4, 2], [5, 1], [6, 2]], 1/1244160], [[[1, 4], [3, 4], [4, 2], [5, 1], [12, 1]], 1/207360], [[[1, 4], [3, 4], [4, 2], [6, 2], [12, 1]], 1/165888], [[[1, 4], [3, 5], [4, 1], [5, 1], [8, 1]], 1/3732480], [[[1, 4], [3, 5], [4, 1], [6, 2], [8, 1]], 1/8957952], [[[1, 4], [3, 5], [4, 1], [8, 1], [12, 1]], 1/1492992], [[[1, 4], [4, 1], [5, 1], [8, 1], [11, 1]], 1/7040], [[[1, 4], [4, 1], [5, 2], [7, 1], [8, 1]], 1/22400], [[[1, 4], [4, 1], [5, 2], [8, 1], [9, 1]], 1/57600], [[[1, 4], [4, 2], [5, 1], [7, 1], [9, 1]], 1/483840], [[[1, 4], [4, 3], [5, 1], [7, 1], [8, 1]], 1/215040], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 3]], 1/96000], [[[1, 5], [2, 1], [3, 1], [4, 2], [7, 2]], 1/56448], [[[1, 5], [2, 1], [3, 1], [4, 2], [9, 2]], 1/82944], [[[1, 5], [2, 1], [3, 1], [4, 3], [11, 1]], 41/912384], [[[1, 5], [2, 1], [3, 1], [4, 4], [5, 2]], 1/1843200], [[[1, 5], [2, 1], [3, 1], [4, 4], [8, 2]], 1/147456], [[[1, 5], [2, 1], [3, 1], [4, 5], [7, 1]], 1/442368], [[[1, 5], [2, 1], [3, 1], [4, 5], [9, 1]], 1/3981312], [[[1, 5], [2, 1], [3, 1], [5, 1], [7, 2]], 1/2520], [[[1, 5], [2, 1], [3, 1], [5, 1], [9, 2]], 1/7776], [[[1, 5], [2, 1], [3, 1], [5, 3], [6, 2]], 1/192000], [[[1, 5], [2, 1], [3, 1], [5, 3], [12, 1]], 1/32000], [[[1, 5], [2, 1], [3, 1], [6, 2], [7, 2]], 1/84672], [[[1, 5], [2, 1], [3, 1], [7, 1], [11, 1]], 1/5544], [[[1, 5], [2, 1], [3, 1], [7, 2], [8, 1]], 1/4704], [[[1, 5], [2, 1], [3, 1], [7, 2], [12, 1]], 1/14112], [[[1, 5], [2, 1], [3, 1], [8, 1], [9, 2]], 1/62208], [[[1, 5], [2, 1], [3, 1], [9, 1], [11, 1]], 1/19008], [[[1, 5], [2, 1], [3, 2], [4, 1], [7, 2]], 1/42336], [[[1, 5], [2, 1], [3, 2], [4, 1], [9, 2]], 19/248832], [[[1, 5], [2, 1], [3, 2], [4, 2], [11, 1]], 1/55296], [[[1, 5], [2, 1], [3, 2], [4, 3], [5, 2]], 17/1658880], [[[1, 5], [2, 1], [3, 2], [4, 4], [7, 1]], 1/774144], [[[1, 5], [2, 1], [3, 2], [4, 4], [9, 1]], 1/221184], [[[1, 5], [2, 1], [3, 2], [4, 5], [5, 1]], 7/6635520], [[[1, 5], [2, 1], [3, 2], [4, 5], [8, 1]], 1/442368], [[[1, 5], [2, 1], [3, 2], [5, 1], [11, 1]], 1/8640], [[[1, 5], [2, 1], [3, 2], [5, 2], [6, 3]], 1/86400], [[[1, 5], [2, 1], [3, 2], [5, 2], [7, 1]], 43/302400], [[[1, 5], [2, 1], [3, 2], [5, 2], [9, 1]], 23/129600], [[[1, 5], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056], [[[1, 5], [2, 1], [3, 2], [6, 1], [9, 2]], 1/11664], [[[1, 5], [2, 1], [3, 2], [6, 2], [11, 1]], 1/152064], [[[1, 5], [2, 1], [3, 2], [6, 5], [8, 1]], 1/17915904], [[[1, 5], [2, 1], [3, 2], [8, 1], [11, 1]], 13/152064], [[[1, 5], [2, 1], [3, 2], [11, 1], [12, 1]], 1/25344], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 5]], 1/8957952], [[[1, 5], [2, 1], [3, 3], [4, 1], [11, 1]], 65/2433024], [[[1, 5], [2, 1], [3, 3], [4, 2], [5, 2]], 31/3981312], [[[1, 5], [2, 1], [3, 3], [4, 2], [8, 2]], 49/7962624], [[[1, 5], [2, 1], [3, 3], [4, 3], [6, 3]], 1/1990656], [[[1, 5], [2, 1], [3, 3], [4, 3], [7, 1]], 107/52254720], [[[1, 5], [2, 1], [3, 3], [4, 3], [9, 1]], 305/13436928], [[[1, 5], [2, 1], [3, 3], [5, 2], [6, 2]], 1/207360], [[[1, 5], [2, 1], [3, 3], [5, 2], [8, 1]], 1/8294400], [[[1, 5], [2, 1], [3, 3], [5, 2], [10, 1]], 1/1036800], [[[1, 5], [2, 1], [3, 3], [5, 2], [12, 1]], 1/34560], [[[1, 5], [2, 1], [3, 3], [6, 1], [11, 1]], 5/57024], [[[1, 5], [2, 1], [3, 3], [6, 3], [7, 1]], 5/217728], [[[1, 5], [2, 1], [3, 3], [6, 3], [9, 1]], 1/93312], [[[1, 5], [2, 1], [3, 3], [7, 1], [9, 1]], 31/163296], [[[1, 5], [2, 1], [3, 4], [4, 1], [5, 2]], 1/1244160], [[[1, 5], [2, 1], [3, 4], [4, 1], [8, 2]], 1/995328], [[[1, 5], [2, 1], [3, 4], [4, 1], [12, 2]], 1/279936], [[[1, 5], [2, 1], [3, 4], [4, 2], [6, 3]], 1/1327104], [[[1, 5], [2, 1], [3, 4], [4, 2], [7, 1]], 29/5971968], [[[1, 5], [2, 1], [3, 4], [4, 2], [9, 1]], 89/5971968], [[[1, 5], [2, 1], [3, 4], [4, 3], [5, 1]], 49/44789760], [[[1, 5], [2, 1], [3, 4], [4, 3], [6, 2]], 7/13436928], [[[1, 5], [2, 1], [3, 4], [4, 3], [8, 1]], 25/11943936], [[[1, 5], [2, 1], [3, 4], [4, 3], [10, 1]], 1/7464960], [[[1, 5], [2, 1], [3, 4], [4, 3], [12, 1]], 5/1492992], [[[1, 5], [2, 1], [3, 4], [4, 4], [6, 1]], 1/1990656], [[[1, 5], [2, 1], [3, 4], [5, 1], [6, 3]], 7/622080], [[[1, 5], [2, 1], [3, 4], [5, 1], [7, 1]], 151/4354560], [[[1, 5], [2, 1], [3, 4], [5, 1], [9, 1]], 47/933120], [[[1, 5], [2, 1], [3, 4], [5, 2], [6, 1]], 1/777600], [[[1, 5], [2, 1], [3, 4], [6, 2], [7, 1]], 1/186624], [[[1, 5], [2, 1], [3, 4], [6, 2], [9, 1]], 1/124416], [[[1, 5], [2, 1], [3, 4], [6, 3], [8, 1]], 475/53747712], [[[1, 5], [2, 1], [3, 4], [7, 1], [8, 1]], 17/3483648], [[[1, 5], [2, 1], [3, 4], [7, 1], [12, 1]], 1/31104], [[[1, 5], [2, 1], [3, 4], [8, 1], [9, 1]], 53/1492992], [[[1, 5], [2, 1], [3, 4], [9, 1], [12, 1]], 1/20736], [[[1, 5], [2, 1], [3, 5], [4, 1], [6, 3]], 7/6718464], [[[1, 5], [2, 1], [3, 5], [4, 1], [7, 1]], 1/435456], [[[1, 5], [2, 1], [3, 5], [4, 1], [9, 1]], 1/73728], [[[1, 5], [2, 1], [3, 5], [4, 2], [5, 1]], 31/14929920], [[[1, 5], [2, 1], [3, 5], [4, 2], [6, 2]], 1/3981312], [[[1, 5], [2, 1], [3, 5], [4, 2], [8, 1]], 1/1990656], [[[1, 5], [2, 1], [3, 5], [4, 2], [12, 1]], 1/663552], [[[1, 5], [2, 1], [3, 5], [4, 3], [6, 1]], 1/4478976], [[[1, 5], [2, 1], [3, 5], [5, 1], [6, 2]], 1/5598720], [[[1, 5], [2, 1], [3, 5], [5, 1], [8, 1]], 1/7464960], [[[1, 5], [2, 1], [3, 5], [5, 1], [10, 1]], 1/1866240], [[[1, 5], [2, 1], [3, 5], [5, 1], [12, 1]], 1/933120], [[[1, 5], [2, 1], [3, 5], [6, 1], [7, 1]], 23/1959552], [[[1, 5], [2, 1], [3, 5], [6, 1], [9, 1]], 13/279936], [[[1, 5], [2, 1], [3, 5], [6, 2], [8, 1]], 1/17915904], [[[1, 5], [2, 1], [3, 5], [8, 1], [12, 1]], 1/2985984], [[[1, 5], [2, 1], [3, 6], [4, 1], [5, 1]], 1/1399680], [[[1, 5], [2, 1], [3, 6], [4, 1], [6, 2]], 1/4478976], [[[1, 5], [2, 1], [3, 6], [4, 1], [8, 1]], 5/6718464], [[[1, 5], [2, 1], [3, 6], [4, 1], [10, 1]], 1/6298560], [[[1, 5], [2, 1], [3, 6], [4, 1], [12, 1]], 97/60466176], [[[1, 5], [2, 1], [3, 6], [4, 2], [6, 1]], 1/1327104], [[[1, 5], [2, 1], [3, 6], [5, 1], [6, 1]], 7/5598720], [[[1, 5], [2, 1], [3, 6], [6, 1], [8, 1]], 1/7558272], [[[1, 5], [2, 1], [3, 6], [6, 1], [12, 1]], 1/139968], [[[1, 5], [2, 1], [3, 7], [4, 1], [6, 1]], 1/241864704], [[[1, 5], [2, 1], [4, 1], [5, 1], [7, 2]], 1/3136], [[[1, 5], [2, 1], [4, 1], [5, 2], [8, 2]], 1/51200], [[[1, 5], [2, 1], [4, 1], [5, 3], [8, 1]], 1/32000], [[[1, 5], [2, 1], [4, 1], [5, 3], [10, 1]], 1/40000], [[[1, 5], [2, 1], [4, 1], [5, 3], [12, 1]], 1/24000], [[[1, 5], [2, 1], [4, 1], [6, 2], [18, 2]], 1/3732480], [[[1, 5], [2, 1], [4, 1], [6, 3], [22, 1]], 1/109486080], [[[1, 5], [2, 1], [4, 1], [6, 5], [18, 1]], 1/268738560], [[[1, 5], [2, 1], [4, 1], [7, 1], [11, 1]], 1/4928], [[[1, 5], [2, 1], [4, 1], [9, 1], [11, 1]], 1/33792], [[[1, 5], [2, 1], [4, 1], [18, 1], [22, 1]], 1/1520640], [[[1, 5], [2, 1], [4, 2], [5, 1], [11, 1]], 1/15360], [[[1, 5], [2, 1], [4, 2], [5, 2], [7, 1]], 1/35840], [[[1, 5], [2, 1], [4, 2], [5, 2], [9, 1]], 7/1382400], [[[1, 5], [2, 1], [4, 2], [6, 3], [8, 2]], 1/7962624], [[[1, 5], [2, 1], [4, 2], [8, 1], [11, 1]], 1/16896], [[[1, 5], [2, 1], [4, 2], [8, 2], [9, 1]], 1/110592], [[[1, 5], [2, 1], [4, 2], [8, 2], [18, 1]], 1/110592], [[[1, 5], [2, 1], [4, 3], [5, 2], [8, 1]], 1/614400], [[[1, 5], [2, 1], [4, 3], [5, 2], [10, 1]], 1/384000], [[[1, 5], [2, 1], [4, 3], [5, 2], [12, 1]], 1/230400], [[[1, 5], [2, 1], [4, 3], [6, 1], [11, 1]], 1/101376], [[[1, 5], [2, 1], [4, 3], [7, 1], [9, 1]], 1/362880], [[[1, 5], [2, 1], [4, 4], [5, 1], [7, 1]], 1/860160], [[[1, 5], [2, 1], [4, 4], [7, 1], [8, 1]], 1/172032], [[[1, 5], [2, 1], [5, 1], [8, 1], [11, 1]], 3/14080], [[[1, 5], [2, 1], [5, 2], [7, 1], [8, 1]], 1/6400], [[[1, 5], [2, 1], [5, 2], [7, 1], [10, 1]], 1/2800], [[[1, 5], [2, 1], [5, 2], [8, 1], [9, 1]], 1/115200], [[[1, 5], [2, 1], [5, 2], [9, 1], [10, 1]], 1/14400], [[[1, 5], [2, 1], [5, 3], [6, 1], [8, 1]], 1/48000], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 3]], 3/32000], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 6]], 1/53747712], [[[1, 5], [2, 3], [3, 1], [4, 1], [7, 2]], 13/56448], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 3]], 1/12288], [[[1, 5], [2, 3], [3, 1], [4, 1], [9, 2]], 109/746496], [[[1, 5], [2, 3], [3, 1], [4, 1], [10, 3]], 1/192000], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 5]], 1/17915904], [[[1, 5], [2, 3], [3, 1], [4, 2], [11, 1]], 25/101376], [[[1, 5], [2, 3], [3, 1], [4, 2], [22, 1]], 5/101376], [[[1, 5], [2, 3], [3, 1], [4, 3], [5, 2]], 163/2764800], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 4]], 17/23887872], [[[1, 5], [2, 3], [3, 1], [4, 3], [8, 2]], 37/147456], [[[1, 5], [2, 3], [3, 1], [4, 3], [12, 2]], 1/221184], [[[1, 5], [2, 3], [3, 1], [4, 4], [6, 3]], 7/5971968], [[[1, 5], [2, 3], [3, 1], [4, 4], [7, 1]], 125/6193152], [[[1, 5], [2, 3], [3, 1], [4, 4], [9, 1]], 191/7962624], [[[1, 5], [2, 3], [3, 1], [4, 4], [18, 1]], 1/331776], [[[1, 5], [2, 3], [3, 1], [4, 5], [5, 1]], 53/4423680], [[[1, 5], [2, 3], [3, 1], [4, 5], [6, 2]], 17/21233664], [[[1, 5], [2, 3], [3, 1], [4, 5], [8, 1]], 403/5308416], [[[1, 5], [2, 3], [3, 1], [4, 5], [10, 1]], 1/368640], [[[1, 5], [2, 3], [3, 1], [4, 5], [12, 1]], 49/3538944], [[[1, 5], [2, 3], [3, 1], [4, 6], [6, 1]], 1/1769472], [[[1, 5], [2, 3], [3, 1], [5, 1], [11, 1]], 31/126720], [[[1, 5], [2, 3], [3, 1], [5, 2], [6, 3]], 127/4147200], [[[1, 5], [2, 3], [3, 1], [5, 2], [7, 1]], 23/80640], [[[1, 5], [2, 3], [3, 1], [5, 2], [9, 1]], 101/345600], [[[1, 5], [2, 3], [3, 1], [5, 3], [6, 1]], 17/72000], [[[1, 5], [2, 3], [3, 1], [6, 1], [7, 2]], 5/28224], [[[1, 5], [2, 3], [3, 1], [6, 1], [9, 2]], 1/31104], [[[1, 5], [2, 3], [3, 1], [6, 1], [10, 3]], 1/288000], [[[1, 5], [2, 3], [3, 1], [6, 1], [18, 2]], 1/93312], [[[1, 5], [2, 3], [3, 1], [6, 2], [11, 1]], 505/3649536], [[[1, 5], [2, 3], [3, 1], [6, 2], [22, 1]], 19/912384], [[[1, 5], [2, 3], [3, 1], [6, 3], [8, 2]], 1/331776], [[[1, 5], [2, 3], [3, 1], [6, 3], [10, 2]], 1/37324800], [[[1, 5], [2, 3], [3, 1], [6, 4], [7, 1]], 1/870912], [[[1, 5], [2, 3], [3, 1], [6, 4], [14, 1]], 1/15676416], [[[1, 5], [2, 3], [3, 1], [6, 4], [18, 1]], 61/6718464], [[[1, 5], [2, 3], [3, 1], [6, 5], [8, 1]], 11/13436928], [[[1, 5], [2, 3], [3, 1], [6, 5], [10, 1]], 1/44789760], [[[1, 5], [2, 3], [3, 1], [6, 5], [12, 1]], 1/2985984], [[[1, 5], [2, 3], [3, 1], [7, 1], [8, 2]], 1/14336], [[[1, 5], [2, 3], [3, 1], [8, 1], [11, 1]], 145/912384], [[[1, 5], [2, 3], [3, 1], [8, 1], [22, 1]], 17/608256], [[[1, 5], [2, 3], [3, 1], [8, 2], [9, 1]], 5/55296], [[[1, 5], [2, 3], [3, 1], [10, 1], [11, 1]], 1/15840], [[[1, 5], [2, 3], [3, 1], [10, 1], [22, 1]], 1/63360], [[[1, 5], [2, 3], [3, 1], [10, 2], [14, 1]], 1/201600], [[[1, 5], [2, 3], [3, 1], [10, 2], [18, 1]], 1/518400], [[[1, 5], [2, 3], [3, 1], [11, 1], [12, 1]], 1/67584], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 5]], 5051/2149908480], [[[1, 5], [2, 3], [3, 2], [4, 1], [11, 1]], 337/1824768], [[[1, 5], [2, 3], [3, 2], [4, 1], [22, 1]], 5/152064], [[[1, 5], [2, 3], [3, 2], [4, 2], [5, 2]], 79/921600], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 4]], 53/3981312], [[[1, 5], [2, 3], [3, 2], [4, 2], [8, 2]], 71/221184], [[[1, 5], [2, 3], [3, 2], [4, 2], [10, 2]], 1/230400], [[[1, 5], [2, 3], [3, 2], [4, 2], [12, 2]], 1/41472], [[[1, 5], [2, 3], [3, 2], [4, 3], [6, 3]], 659/71663616], [[[1, 5], [2, 3], [3, 2], [4, 3], [7, 1]], 1/32256], [[[1, 5], [2, 3], [3, 2], [4, 3], [9, 1]], 235/1990656], [[[1, 5], [2, 3], [3, 2], [4, 3], [14, 1]], 1/64512], [[[1, 5], [2, 3], [3, 2], [4, 3], [18, 1]], 1/497664], [[[1, 5], [2, 3], [3, 2], [4, 4], [5, 1]], 49/3317760], [[[1, 5], [2, 3], [3, 2], [4, 4], [6, 2]], 85/5308416], [[[1, 5], [2, 3], [3, 2], [4, 4], [8, 1]], 41/663552], [[[1, 5], [2, 3], [3, 2], [4, 4], [10, 1]], 1/552960], [[[1, 5], [2, 3], [3, 2], [4, 4], [12, 1]], 7/663552], [[[1, 5], [2, 3], [3, 2], [4, 5], [6, 1]], 23/2359296], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 4]], 23/1244160], [[[1, 5], [2, 3], [3, 2], [5, 1], [8, 2]], 1/46080], [[[1, 5], [2, 3], [3, 2], [5, 1], [10, 2]], 1/21600], [[[1, 5], [2, 3], [3, 2], [5, 2], [6, 2]], 1961/4976640], [[[1, 5], [2, 3], [3, 2], [5, 2], [8, 1]], 19/414720], [[[1, 5], [2, 3], [3, 2], [5, 2], [10, 1]], 61/432000], [[[1, 5], [2, 3], [3, 2], [5, 2], [12, 1]], 7/153600], [[[1, 5], [2, 3], [3, 2], [6, 1], [11, 1]], 127/456192], [[[1, 5], [2, 3], [3, 2], [6, 1], [22, 1]], 97/2433024], [[[1, 5], [2, 3], [3, 2], [6, 2], [8, 2]], 17/331776], [[[1, 5], [2, 3], [3, 2], [6, 2], [10, 2]], 109/3317760], [[[1, 5], [2, 3], [3, 2], [6, 3], [7, 1]], 71/1741824], [[[1, 5], [2, 3], [3, 2], [6, 3], [9, 1]], 49/2239488], [[[1, 5], [2, 3], [3, 2], [6, 3], [14, 1]], 65/6967296], [[[1, 5], [2, 3], [3, 2], [6, 3], [18, 1]], 857/17915904], [[[1, 5], [2, 3], [3, 2], [6, 4], [8, 1]], 121/8957952], [[[1, 5], [2, 3], [3, 2], [6, 4], [10, 1]], 91/11197440], [[[1, 5], [2, 3], [3, 2], [6, 4], [12, 1]], 11/1492992], [[[1, 5], [2, 3], [3, 2], [7, 1], [9, 1]], 103/435456], [[[1, 5], [2, 3], [3, 3], [4, 1], [5, 2]], 2369/99532800], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 4]], 5801/143327232], [[[1, 5], [2, 3], [3, 3], [4, 1], [8, 2]], 31/1990656], [[[1, 5], [2, 3], [3, 3], [4, 1], [12, 2]], 1/82944], [[[1, 5], [2, 3], [3, 3], [4, 2], [6, 3]], 11/186624], [[[1, 5], [2, 3], [3, 3], [4, 2], [7, 1]], 53/663552], [[[1, 5], [2, 3], [3, 3], [4, 2], [9, 1]], 125/746496], [[[1, 5], [2, 3], [3, 3], [4, 3], [5, 1]], 541/29859840], [[[1, 5], [2, 3], [3, 3], [4, 3], [6, 2]], 205/2985984], [[[1, 5], [2, 3], [3, 3], [4, 3], [8, 1]], 1337/21233664], [[[1, 5], [2, 3], [3, 3], [4, 3], [10, 1]], 49/19906560], [[[1, 5], [2, 3], [3, 3], [4, 3], [12, 1]], 299/5971968], [[[1, 5], [2, 3], [3, 3], [4, 4], [6, 1]], 541/47775744], [[[1, 5], [2, 3], [3, 3], [5, 1], [6, 3]], 383/1492992], [[[1, 5], [2, 3], [3, 3], [5, 1], [7, 1]], 617/11612160], [[[1, 5], [2, 3], [3, 3], [5, 1], [9, 1]], 151/933120], [[[1, 5], [2, 3], [3, 3], [5, 2], [6, 1]], 4303/37324800], [[[1, 5], [2, 3], [3, 3], [6, 1], [8, 2]], 17/995328], [[[1, 5], [2, 3], [3, 3], [6, 1], [10, 2]], 1/460800], [[[1, 5], [2, 3], [3, 3], [6, 2], [7, 1]], 11887/31352832], [[[1, 5], [2, 3], [3, 3], [6, 2], [9, 1]], 12409/26873856], [[[1, 5], [2, 3], [3, 3], [6, 2], [14, 1]], 1/193536], [[[1, 5], [2, 3], [3, 3], [6, 2], [18, 1]], 7/248832], [[[1, 5], [2, 3], [3, 3], [6, 3], [8, 1]], 73/746496], [[[1, 5], [2, 3], [3, 3], [6, 3], [10, 1]], 11/184320], [[[1, 5], [2, 3], [3, 3], [6, 3], [12, 1]], 13/746496], [[[1, 5], [2, 3], [3, 3], [7, 1], [8, 1]], 299/14929920], [[[1, 5], [2, 3], [3, 3], [7, 1], [10, 1]], 7/311040], [[[1, 5], [2, 3], [3, 3], [7, 1], [12, 1]], 19/580608], [[[1, 5], [2, 3], [3, 3], [8, 1], [9, 1]], 665/6718464], [[[1, 5], [2, 3], [3, 3], [9, 1], [10, 1]], 7/116640], [[[1, 5], [2, 3], [3, 3], [9, 1], [12, 1]], 25/497664], [[[1, 5], [2, 3], [3, 4], [4, 1], [6, 3]], 22829/214990848], [[[1, 5], [2, 3], [3, 4], [4, 1], [7, 1]], 1607/41803776], [[[1, 5], [2, 3], [3, 4], [4, 1], [9, 1]], 2261/17915904], [[[1, 5], [2, 3], [3, 4], [4, 2], [5, 1]], 23/933120], [[[1, 5], [2, 3], [3, 4], [4, 2], [6, 2]], 2407/35831808], [[[1, 5], [2, 3], [3, 4], [4, 2], [8, 1]], 3571/71663616], [[[1, 5], [2, 3], [3, 4], [4, 2], [10, 1]], 7/933120], [[[1, 5], [2, 3], [3, 4], [4, 2], [12, 1]], 319/8957952], [[[1, 5], [2, 3], [3, 4], [4, 3], [6, 1]], 983/71663616], [[[1, 5], [2, 3], [3, 4], [5, 1], [6, 2]], 239/1399680], [[[1, 5], [2, 3], [3, 4], [5, 1], [8, 1]], 329/44789760], [[[1, 5], [2, 3], [3, 4], [5, 1], [10, 1]], 101/4976640], [[[1, 5], [2, 3], [3, 4], [5, 1], [12, 1]], 1/124416], [[[1, 5], [2, 3], [3, 4], [6, 1], [7, 1]], 305/2239488], [[[1, 5], [2, 3], [3, 4], [6, 1], [9, 1]], 485/2239488], [[[1, 5], [2, 3], [3, 4], [6, 2], [8, 1]], 1505/13436928], [[[1, 5], [2, 3], [3, 4], [6, 2], [10, 1]], 67/3732480], [[[1, 5], [2, 3], [3, 4], [6, 2], [12, 1]], 521/4478976], [[[1, 5], [2, 3], [3, 4], [8, 1], [10, 1]], 1/622080], [[[1, 5], [2, 3], [3, 4], [8, 1], [12, 1]], 19/4478976], [[[1, 5], [2, 3], [3, 4], [10, 1], [12, 1]], 1/155520], [[[1, 5], [2, 3], [3, 5], [4, 1], [5, 1]], 109/89579520], [[[1, 5], [2, 3], [3, 5], [4, 1], [6, 2]], 18689/429981696], [[[1, 5], [2, 3], [3, 5], [4, 1], [8, 1]], 17/17915904], [[[1, 5], [2, 3], [3, 5], [4, 1], [10, 1]], 23/7464960], [[[1, 5], [2, 3], [3, 5], [4, 1], [12, 1]], 187/35831808], [[[1, 5], [2, 3], [3, 5], [4, 2], [6, 1]], 145/11943936], [[[1, 5], [2, 3], [3, 5], [5, 1], [6, 1]], 361/22394880], [[[1, 5], [2, 3], [3, 5], [6, 1], [8, 1]], 71/8957952], [[[1, 5], [2, 3], [3, 5], [6, 1], [10, 1]], 1/279936], [[[1, 5], [2, 3], [3, 5], [6, 1], [12, 1]], 5/497664], [[[1, 5], [2, 3], [3, 6], [4, 1], [6, 1]], 5395/483729408], [[[1, 5], [2, 3], [4, 1], [5, 1], [11, 1]], 27/56320], [[[1, 5], [2, 3], [4, 1], [5, 1], [22, 1]], 13/506880], [[[1, 5], [2, 3], [4, 1], [5, 2], [6, 3]], 1/172800], [[[1, 5], [2, 3], [4, 1], [5, 2], [7, 1]], 277/537600], [[[1, 5], [2, 3], [4, 1], [5, 2], [9, 1]], 161/1382400], [[[1, 5], [2, 3], [4, 1], [5, 3], [6, 1]], 1/16000], [[[1, 5], [2, 3], [4, 1], [6, 1], [7, 2]], 5/28224], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 3]], 1/36864], [[[1, 5], [2, 3], [4, 1], [6, 1], [18, 2]], 61/7464960], [[[1, 5], [2, 3], [4, 1], [6, 2], [11, 1]], 7/152064], [[[1, 5], [2, 3], [4, 1], [6, 2], [22, 1]], 61/18247680], [[[1, 5], [2, 3], [4, 1], [6, 3], [8, 2]], 7/1990656], [[[1, 5], [2, 3], [4, 1], [6, 3], [10, 2]], 7/331776000], [[[1, 5], [2, 3], [4, 1], [6, 4], [14, 1]], 31/418037760], [[[1, 5], [2, 3], [4, 1], [6, 4], [18, 1]], 53/35831808], [[[1, 5], [2, 3], [4, 1], [6, 5], [8, 1]], 1/17915904], [[[1, 5], [2, 3], [4, 1], [6, 5], [10, 1]], 11/895795200], [[[1, 5], [2, 3], [4, 1], [6, 5], [12, 1]], 1/358318080], [[[1, 5], [2, 3], [4, 1], [7, 1], [8, 2]], 5/14336], [[[1, 5], [2, 3], [4, 1], [8, 1], [11, 1]], 1/3072], [[[1, 5], [2, 3], [4, 1], [8, 1], [22, 1]], 1/22528], [[[1, 5], [2, 3], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 5], [2, 3], [4, 1], [8, 2], [14, 1]], 1/86016], [[[1, 5], [2, 3], [4, 1], [8, 2], [18, 1]], 1/27648], [[[1, 5], [2, 3], [4, 1], [10, 1], [11, 1]], 7/84480], [[[1, 5], [2, 3], [4, 1], [10, 1], [22, 1]], 41/1689600], [[[1, 5], [2, 3], [4, 1], [10, 2], [14, 1]], 41/5376000], [[[1, 5], [2, 3], [4, 1], [10, 2], [18, 1]], 7/4608000], [[[1, 5], [2, 3], [4, 1], [11, 1], [12, 1]], 1/50688], [[[1, 5], [2, 3], [4, 1], [12, 1], [22, 1]], 1/304128], [[[1, 5], [2, 3], [4, 2], [5, 1], [8, 2]], 7/20480], [[[1, 5], [2, 3], [4, 2], [5, 1], [10, 2]], 73/512000], [[[1, 5], [2, 3], [4, 2], [5, 2], [6, 2]], 19/1382400], [[[1, 5], [2, 3], [4, 2], [5, 2], [8, 1]], 181/921600], [[[1, 5], [2, 3], [4, 2], [5, 2], [10, 1]], 269/768000], [[[1, 5], [2, 3], [4, 2], [5, 2], [12, 1]], 41/230400], [[[1, 5], [2, 3], [4, 2], [6, 1], [11, 1]], 23/101376], [[[1, 5], [2, 3], [4, 2], [6, 2], [8, 2]], 31/1327104], [[[1, 5], [2, 3], [4, 2], [6, 3], [14, 1]], 1/13934592], [[[1, 5], [2, 3], [4, 2], [6, 4], [8, 1]], 1/2654208], [[[1, 5], [2, 3], [4, 2], [6, 4], [10, 1]], 1/29859840], [[[1, 5], [2, 3], [4, 2], [7, 1], [9, 1]], 11/64512], [[[1, 5], [2, 3], [4, 2], [8, 1], [10, 2]], 1/25600], [[[1, 5], [2, 3], [4, 2], [8, 2], [10, 1]], 1/8192], [[[1, 5], [2, 3], [4, 2], [8, 2], [12, 1]], 1/9216], [[[1, 5], [2, 3], [4, 2], [10, 2], [12, 1]], 1/230400], [[[1, 5], [2, 3], [4, 2], [14, 1], [18, 1]], 1/193536], [[[1, 5], [2, 3], [4, 3], [5, 1], [6, 3]], 1/3981312], [[[1, 5], [2, 3], [4, 3], [5, 1], [7, 1]], 337/2580480], [[[1, 5], [2, 3], [4, 3], [5, 1], [9, 1]], 13/414720], [[[1, 5], [2, 3], [4, 3], [5, 1], [14, 1]], 1/107520], [[[1, 5], [2, 3], [4, 3], [5, 1], [18, 1]], 1/55296], [[[1, 5], [2, 3], [4, 3], [5, 2], [6, 1]], 11/552960], [[[1, 5], [2, 3], [4, 3], [6, 1], [8, 2]], 7/147456], [[[1, 5], [2, 3], [4, 3], [6, 1], [12, 2]], 1/73728], [[[1, 5], [2, 3], [4, 3], [6, 2], [7, 1]], 1/55296], [[[1, 5], [2, 3], [4, 3], [6, 2], [18, 1]], 409/59719680], [[[1, 5], [2, 3], [4, 3], [6, 3], [8, 1]], 23/21233664], [[[1, 5], [2, 3], [4, 3], [6, 3], [10, 1]], 1/19906560], [[[1, 5], [2, 3], [4, 3], [6, 3], [12, 1]], 1/3981312], [[[1, 5], [2, 3], [4, 3], [7, 1], [8, 1]], 73/516096], [[[1, 5], [2, 3], [4, 3], [7, 1], [10, 1]], 3/71680], [[[1, 5], [2, 3], [4, 3], [7, 1], [12, 1]], 1/18432], [[[1, 5], [2, 3], [4, 3], [8, 1], [9, 1]], 43/884736], [[[1, 5], [2, 3], [4, 3], [8, 1], [14, 1]], 1/43008], [[[1, 5], [2, 3], [4, 3], [8, 1], [18, 1]], 23/294912], [[[1, 5], [2, 3], [4, 3], [9, 1], [10, 1]], 1/276480], [[[1, 5], [2, 3], [4, 3], [9, 1], [12, 1]], 1/165888], [[[1, 5], [2, 3], [4, 3], [10, 1], [14, 1]], 409/77414400], [[[1, 5], [2, 3], [4, 3], [10, 1], [18, 1]], 1/276480], [[[1, 5], [2, 3], [4, 3], [12, 1], [14, 1]], 1/64512], [[[1, 5], [2, 3], [4, 3], [12, 1], [18, 1]], 1/55296], [[[1, 5], [2, 3], [4, 4], [5, 1], [6, 2]], 1/552960], [[[1, 5], [2, 3], [4, 4], [5, 1], [8, 1]], 11/122880], [[[1, 5], [2, 3], [4, 4], [5, 1], [10, 1]], 457/14745600], [[[1, 5], [2, 3], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 5], [2, 3], [4, 4], [6, 1], [7, 1]], 13/774144], [[[1, 5], [2, 3], [4, 4], [6, 1], [14, 1]], 1/3096576], [[[1, 5], [2, 3], [4, 4], [6, 1], [18, 1]], 1/1327104], [[[1, 5], [2, 3], [4, 4], [6, 2], [8, 1]], 7/442368], [[[1, 5], [2, 3], [4, 4], [6, 2], [12, 1]], 1/331776], [[[1, 5], [2, 3], [4, 4], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 3], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 3], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 5], [2, 3], [4, 5], [5, 1], [6, 1]], 1/1105920], [[[1, 5], [2, 3], [4, 5], [6, 1], [8, 1]], 7/884736], [[[1, 5], [2, 3], [4, 5], [6, 1], [10, 1]], 1/4423680], [[[1, 5], [2, 3], [4, 5], [6, 1], [12, 1]], 5/1179648], [[[1, 5], [2, 3], [5, 1], [6, 1], [11, 1]], 1/5760], [[[1, 5], [2, 3], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 5], [2, 3], [5, 1], [6, 4], [10, 1]], 13/29859840], [[[1, 5], [2, 3], [5, 1], [7, 1], [9, 1]], 17/161280], [[[1, 5], [2, 3], [5, 1], [8, 1], [10, 2]], 7/38400], [[[1, 5], [2, 3], [5, 1], [8, 2], [10, 1]], 1/6144], [[[1, 5], [2, 3], [5, 2], [6, 1], [7, 1]], 1/13440], [[[1, 5], [2, 3], [5, 2], [6, 1], [9, 1]], 7/518400], [[[1, 5], [2, 3], [5, 2], [6, 2], [8, 1]], 1/69120], [[[1, 5], [2, 3], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 5], [2, 3], [5, 2], [8, 1], [10, 1]], 37/64000], [[[1, 5], [2, 3], [6, 1], [7, 1], [8, 2]], 1/32256], [[[1, 5], [2, 3], [6, 1], [8, 1], [11, 1]], 5/101376], [[[1, 5], [2, 3], [6, 1], [8, 1], [22, 1]], 1/67584], [[[1, 5], [2, 3], [6, 1], [8, 2], [14, 1]], 1/129024], [[[1, 5], [2, 3], [6, 1], [8, 2], [18, 1]], 1/55296], [[[1, 5], [2, 3], [6, 1], [10, 1], [22, 1]], 1/253440], [[[1, 5], [2, 3], [6, 1], [10, 2], [14, 1]], 1/806400], [[[1, 5], [2, 3], [6, 1], [10, 2], [18, 1]], 1/2073600], [[[1, 5], [2, 3], [6, 1], [12, 1], [22, 1]], 1/405504], [[[1, 5], [2, 3], [6, 2], [7, 1], [9, 1]], 1/108864], [[[1, 5], [2, 3], [6, 2], [8, 1], [10, 2]], 1/1382400], [[[1, 5], [2, 3], [6, 2], [10, 2], [12, 1]], 1/2764800], [[[1, 5], [2, 3], [6, 2], [14, 1], [18, 1]], 1/870912], [[[1, 5], [2, 3], [6, 3], [8, 1], [14, 1]], 25/13934592], [[[1, 5], [2, 3], [6, 3], [8, 1], [18, 1]], 5/497664], [[[1, 5], [2, 3], [6, 3], [10, 1], [14, 1]], 5/13934592], [[[1, 5], [2, 3], [6, 3], [10, 1], [18, 1]], 1/622080], [[[1, 5], [2, 3], [6, 3], [12, 1], [14, 1]], 1/1161216], [[[1, 5], [2, 3], [6, 3], [12, 1], [18, 1]], 1/331776], [[[1, 5], [2, 3], [6, 4], [8, 1], [10, 1]], 1/29859840], [[[1, 5], [2, 3], [7, 1], [8, 1], [9, 1]], 53/1451520], [[[1, 5], [2, 3], [7, 1], [9, 1], [10, 1]], 1/30240], [[[1, 5], [2, 3], [8, 1], [14, 1], [18, 1]], 1/193536], [[[1, 5], [2, 3], [10, 1], [14, 1], [18, 1]], 1/967680], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 5]], 451/53747712], [[[1, 5], [2, 5], [3, 1], [4, 1], [11, 1]], 829/9123840], [[[1, 5], [2, 5], [3, 1], [4, 1], [22, 1]], 19/152064], [[[1, 5], [2, 5], [3, 1], [4, 2], [5, 2]], 217/2764800], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 4]], 6911/95551488], [[[1, 5], [2, 5], [3, 1], [4, 2], [8, 2]], 2447/5308416], [[[1, 5], [2, 5], [3, 1], [4, 2], [10, 2]], 547/5529600], [[[1, 5], [2, 5], [3, 1], [4, 2], [12, 2]], 1/110592], [[[1, 5], [2, 5], [3, 1], [4, 3], [6, 3]], 7415/71663616], [[[1, 5], [2, 5], [3, 1], [4, 3], [7, 1]], 8149/92897280], [[[1, 5], [2, 5], [3, 1], [4, 3], [9, 1]], 14239/119439360], [[[1, 5], [2, 5], [3, 1], [4, 3], [14, 1]], 55/387072], [[[1, 5], [2, 5], [3, 1], [4, 3], [18, 1]], 25/1990656], [[[1, 5], [2, 5], [3, 1], [4, 4], [5, 1]], 17/245760], [[[1, 5], [2, 5], [3, 1], [4, 4], [6, 2]], 7375/63700992], [[[1, 5], [2, 5], [3, 1], [4, 4], [8, 1]], 97/294912], [[[1, 5], [2, 5], [3, 1], [4, 4], [10, 1]], 37/552960], [[[1, 5], [2, 5], [3, 1], [4, 4], [12, 1]], 791/10616832], [[[1, 5], [2, 5], [3, 1], [4, 5], [6, 1]], 41/589824], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 4]], 143/3732480], [[[1, 5], [2, 5], [3, 1], [5, 1], [8, 2]], 1/46080], [[[1, 5], [2, 5], [3, 1], [5, 1], [10, 2]], 77/288000], [[[1, 5], [2, 5], [3, 1], [5, 2], [6, 2]], 10507/132710400], [[[1, 5], [2, 5], [3, 1], [5, 2], [8, 1]], 53/1105920], [[[1, 5], [2, 5], [3, 1], [5, 2], [10, 1]], 587/2304000], [[[1, 5], [2, 5], [3, 1], [5, 2], [12, 1]], 139/22118400], [[[1, 5], [2, 5], [3, 1], [6, 1], [11, 1]], 683/7299072], [[[1, 5], [2, 5], [3, 1], [6, 1], [22, 1]], 683/7299072], [[[1, 5], [2, 5], [3, 1], [6, 2], [8, 2]], 29/331776], [[[1, 5], [2, 5], [3, 1], [6, 2], [10, 2]], 3043/24883200], [[[1, 5], [2, 5], [3, 1], [6, 3], [7, 1]], 5/248832], [[[1, 5], [2, 5], [3, 1], [6, 3], [9, 1]], 7/373248], [[[1, 5], [2, 5], [3, 1], [6, 3], [14, 1]], 1849/31352832], [[[1, 5], [2, 5], [3, 1], [6, 3], [18, 1]], 1997/13436928], [[[1, 5], [2, 5], [3, 1], [6, 4], [8, 1]], 3157/107495424], [[[1, 5], [2, 5], [3, 1], [6, 4], [10, 1]], 257/7962624], [[[1, 5], [2, 5], [3, 1], [6, 4], [12, 1]], 1127/71663616], [[[1, 5], [2, 5], [3, 1], [7, 1], [9, 1]], 143/6967296], [[[1, 5], [2, 5], [3, 1], [8, 1], [10, 2]], 173/5529600], [[[1, 5], [2, 5], [3, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 5], [3, 1], [14, 1], [18, 1]], 5/217728], [[[1, 5], [2, 5], [3, 2], [4, 1], [5, 2]], 2341/55296000], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 4]], 54709/268738560], [[[1, 5], [2, 5], [3, 2], [4, 1], [8, 2]], 23/165888], [[[1, 5], [2, 5], [3, 2], [4, 1], [10, 2]], 17/460800], [[[1, 5], [2, 5], [3, 2], [4, 1], [12, 2]], 1/331776], [[[1, 5], [2, 5], [3, 2], [4, 2], [6, 3]], 5545/11943936], [[[1, 5], [2, 5], [3, 2], [4, 2], [7, 1]], 185/3096576], [[[1, 5], [2, 5], [3, 2], [4, 2], [9, 1]], 163/1327104], [[[1, 5], [2, 5], [3, 2], [4, 2], [14, 1]], 5/64512], [[[1, 5], [2, 5], [3, 2], [4, 2], [18, 1]], 1/165888], [[[1, 5], [2, 5], [3, 2], [4, 3], [5, 1]], 9469/199065600], [[[1, 5], [2, 5], [3, 2], [4, 3], [6, 2]], 19723/47775744], [[[1, 5], [2, 5], [3, 2], [4, 3], [8, 1]], 2303/10616832], [[[1, 5], [2, 5], [3, 2], [4, 3], [10, 1]], 191/3317760], [[[1, 5], [2, 5], [3, 2], [4, 3], [12, 1]], 467/5308416], [[[1, 5], [2, 5], [3, 2], [4, 4], [6, 1]], 7375/63700992], [[[1, 5], [2, 5], [3, 2], [5, 1], [6, 3]], 515/2654208], [[[1, 5], [2, 5], [3, 2], [5, 1], [7, 1]], 137/3317760], [[[1, 5], [2, 5], [3, 2], [5, 1], [9, 1]], 413/4976640], [[[1, 5], [2, 5], [3, 2], [5, 2], [6, 1]], 3043/24883200], [[[1, 5], [2, 5], [3, 2], [6, 1], [8, 2]], 29/331776], [[[1, 5], [2, 5], [3, 2], [6, 1], [10, 2]], 10507/132710400], [[[1, 5], [2, 5], [3, 2], [6, 2], [7, 1]], 2813/18579456], [[[1, 5], [2, 5], [3, 2], [6, 2], [9, 1]], 1445/7962624], [[[1, 5], [2, 5], [3, 2], [6, 2], [14, 1]], 2813/18579456], [[[1, 5], [2, 5], [3, 2], [6, 2], [18, 1]], 1445/7962624], [[[1, 5], [2, 5], [3, 2], [6, 3], [8, 1]], 5849/23887872], [[[1, 5], [2, 5], [3, 2], [6, 3], [10, 1]], 41171/179159040], [[[1, 5], [2, 5], [3, 2], [6, 3], [12, 1]], 233/3981312], [[[1, 5], [2, 5], [3, 2], [7, 1], [8, 1]], 53/1161216], [[[1, 5], [2, 5], [3, 2], [7, 1], [10, 1]], 1/26880], [[[1, 5], [2, 5], [3, 2], [7, 1], [12, 1]], 17/1327104], [[[1, 5], [2, 5], [3, 2], [8, 1], [9, 1]], 49/497664], [[[1, 5], [2, 5], [3, 2], [8, 1], [14, 1]], 5/193536], [[[1, 5], [2, 5], [3, 2], [9, 1], [10, 1]], 11/155520], [[[1, 5], [2, 5], [3, 2], [9, 1], [12, 1]], 13/1327104], [[[1, 5], [2, 5], [3, 2], [10, 1], [14, 1]], 11/483840], [[[1, 5], [2, 5], [3, 2], [10, 1], [18, 1]], 1/311040], [[[1, 5], [2, 5], [3, 3], [4, 1], [6, 3]], 7673/11943936], [[[1, 5], [2, 5], [3, 3], [4, 1], [7, 1]], 15887/1045094400], [[[1, 5], [2, 5], [3, 3], [4, 1], [9, 1]], 16733/268738560], [[[1, 5], [2, 5], [3, 3], [4, 1], [14, 1]], 5/290304], [[[1, 5], [2, 5], [3, 3], [4, 2], [5, 1]], 3469/238878720], [[[1, 5], [2, 5], [3, 3], [4, 2], [6, 2]], 5545/11943936], [[[1, 5], [2, 5], [3, 3], [4, 2], [8, 1]], 3883/63700992], [[[1, 5], [2, 5], [3, 3], [4, 2], [10, 1]], 31/829440], [[[1, 5], [2, 5], [3, 3], [4, 2], [12, 1]], 211/5308416], [[[1, 5], [2, 5], [3, 3], [4, 3], [6, 1]], 7415/71663616], [[[1, 5], [2, 5], [3, 3], [5, 1], [6, 2]], 41171/179159040], [[[1, 5], [2, 5], [3, 3], [5, 1], [8, 1]], 463/59719680], [[[1, 5], [2, 5], [3, 3], [5, 1], [10, 1]], 43709/1194393600], [[[1, 5], [2, 5], [3, 3], [5, 1], [12, 1]], 19/3317760], [[[1, 5], [2, 5], [3, 3], [6, 1], [7, 1]], 1849/31352832], [[[1, 5], [2, 5], [3, 3], [6, 1], [9, 1]], 1997/13436928], [[[1, 5], [2, 5], [3, 3], [6, 1], [14, 1]], 5/248832], [[[1, 5], [2, 5], [3, 3], [6, 1], [18, 1]], 7/373248], [[[1, 5], [2, 5], [3, 3], [6, 2], [8, 1]], 5849/23887872], [[[1, 5], [2, 5], [3, 3], [6, 2], [10, 1]], 515/2654208], [[[1, 5], [2, 5], [3, 3], [6, 2], [12, 1]], 233/3981312], [[[1, 5], [2, 5], [3, 3], [8, 1], [12, 1]], 1/442368], [[[1, 5], [2, 5], [3, 3], [10, 1], [12, 1]], 1/414720], [[[1, 5], [2, 5], [3, 4], [4, 1], [5, 1]], 5453/895795200], [[[1, 5], [2, 5], [3, 4], [4, 1], [6, 2]], 54709/268738560], [[[1, 5], [2, 5], [3, 4], [4, 1], [8, 1]], 787/71663616], [[[1, 5], [2, 5], [3, 4], [4, 1], [10, 1]], 139/22394880], [[[1, 5], [2, 5], [3, 4], [4, 1], [12, 1]], 1349/268738560], [[[1, 5], [2, 5], [3, 4], [4, 2], [6, 1]], 6911/95551488], [[[1, 5], [2, 5], [3, 4], [5, 1], [6, 1]], 257/7962624], [[[1, 5], [2, 5], [3, 4], [6, 1], [8, 1]], 3157/107495424], [[[1, 5], [2, 5], [3, 4], [6, 1], [10, 1]], 143/3732480], [[[1, 5], [2, 5], [3, 4], [6, 1], [12, 1]], 1127/71663616], [[[1, 5], [2, 5], [3, 5], [4, 1], [6, 1]], 451/53747712], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 4]], 139/22394880], [[[1, 5], [2, 5], [4, 1], [5, 1], [8, 2]], 7/20480], [[[1, 5], [2, 5], [4, 1], [5, 1], [10, 2]], 2833/4608000], [[[1, 5], [2, 5], [4, 1], [5, 2], [6, 2]], 17/460800], [[[1, 5], [2, 5], [4, 1], [5, 2], [8, 1]], 319/1474560], [[[1, 5], [2, 5], [4, 1], [5, 2], [10, 1]], 2833/4608000], [[[1, 5], [2, 5], [4, 1], [5, 2], [12, 1]], 61/2764800], [[[1, 5], [2, 5], [4, 1], [6, 1], [11, 1]], 19/152064], [[[1, 5], [2, 5], [4, 1], [6, 1], [22, 1]], 829/9123840], [[[1, 5], [2, 5], [4, 1], [6, 2], [8, 2]], 23/165888], [[[1, 5], [2, 5], [4, 1], [6, 2], [10, 2]], 2341/55296000], [[[1, 5], [2, 5], [4, 1], [6, 2], [12, 2]], 1/331776], [[[1, 5], [2, 5], [4, 1], [6, 3], [7, 1]], 5/290304], [[[1, 5], [2, 5], [4, 1], [6, 3], [14, 1]], 15887/1045094400], [[[1, 5], [2, 5], [4, 1], [6, 3], [18, 1]], 16733/268738560], [[[1, 5], [2, 5], [4, 1], [6, 4], [8, 1]], 787/71663616], [[[1, 5], [2, 5], [4, 1], [6, 4], [10, 1]], 5453/895795200], [[[1, 5], [2, 5], [4, 1], [6, 4], [12, 1]], 1349/268738560], [[[1, 5], [2, 5], [4, 1], [7, 1], [9, 1]], 143/3628800], [[[1, 5], [2, 5], [4, 1], [8, 1], [10, 2]], 319/1474560], [[[1, 5], [2, 5], [4, 1], [8, 2], [10, 1]], 7/20480], [[[1, 5], [2, 5], [4, 1], [10, 2], [12, 1]], 61/2764800], [[[1, 5], [2, 5], [4, 1], [14, 1], [18, 1]], 143/3628800], [[[1, 5], [2, 5], [4, 2], [5, 1], [6, 3]], 31/829440], [[[1, 5], [2, 5], [4, 2], [5, 1], [7, 1]], 1/5040], [[[1, 5], [2, 5], [4, 2], [5, 1], [9, 1]], 217/3317760], [[[1, 5], [2, 5], [4, 2], [5, 1], [14, 1]], 31/322560], [[[1, 5], [2, 5], [4, 2], [5, 1], [18, 1]], 1/34560], [[[1, 5], [2, 5], [4, 2], [5, 2], [6, 1]], 547/5529600], [[[1, 5], [2, 5], [4, 2], [6, 1], [8, 2]], 2447/5308416], [[[1, 5], [2, 5], [4, 2], [6, 1], [10, 2]], 217/2764800], [[[1, 5], [2, 5], [4, 2], [6, 1], [12, 2]], 1/110592], [[[1, 5], [2, 5], [4, 2], [6, 2], [7, 1]], 5/64512], [[[1, 5], [2, 5], [4, 2], [6, 2], [9, 1]], 1/165888], [[[1, 5], [2, 5], [4, 2], [6, 2], [14, 1]], 185/3096576], [[[1, 5], [2, 5], [4, 2], [6, 2], [18, 1]], 163/1327104], [[[1, 5], [2, 5], [4, 2], [6, 3], [8, 1]], 3883/63700992], [[[1, 5], [2, 5], [4, 2], [6, 3], [10, 1]], 3469/238878720], [[[1, 5], [2, 5], [4, 2], [6, 3], [12, 1]], 211/5308416], [[[1, 5], [2, 5], [4, 2], [7, 1], [8, 1]], 599/2064384], [[[1, 5], [2, 5], [4, 2], [7, 1], [10, 1]], 31/322560], [[[1, 5], [2, 5], [4, 2], [7, 1], [12, 1]], 13/193536], [[[1, 5], [2, 5], [4, 2], [8, 1], [9, 1]], 91/884736], [[[1, 5], [2, 5], [4, 2], [8, 1], [14, 1]], 599/2064384], [[[1, 5], [2, 5], [4, 2], [8, 1], [18, 1]], 91/884736], [[[1, 5], [2, 5], [4, 2], [9, 1], [10, 1]], 1/34560], [[[1, 5], [2, 5], [4, 2], [9, 1], [12, 1]], 1/82944], [[[1, 5], [2, 5], [4, 2], [10, 1], [14, 1]], 1/5040], [[[1, 5], [2, 5], [4, 2], [10, 1], [18, 1]], 217/3317760], [[[1, 5], [2, 5], [4, 2], [12, 1], [14, 1]], 13/193536], [[[1, 5], [2, 5], [4, 2], [12, 1], [18, 1]], 1/82944], [[[1, 5], [2, 5], [4, 3], [5, 1], [6, 2]], 191/3317760], [[[1, 5], [2, 5], [4, 3], [5, 1], [8, 1]], 1343/2949120], [[[1, 5], [2, 5], [4, 3], [5, 1], [10, 1]], 1343/3686400], [[[1, 5], [2, 5], [4, 3], [5, 1], [12, 1]], 13/110592], [[[1, 5], [2, 5], [4, 3], [6, 1], [7, 1]], 55/387072], [[[1, 5], [2, 5], [4, 3], [6, 1], [9, 1]], 25/1990656], [[[1, 5], [2, 5], [4, 3], [6, 1], [14, 1]], 8149/92897280], [[[1, 5], [2, 5], [4, 3], [6, 1], [18, 1]], 14239/119439360], [[[1, 5], [2, 5], [4, 3], [6, 2], [8, 1]], 2303/10616832], [[[1, 5], [2, 5], [4, 3], [6, 2], [10, 1]], 9469/199065600], [[[1, 5], [2, 5], [4, 3], [6, 2], [12, 1]], 467/5308416], [[[1, 5], [2, 5], [4, 3], [8, 1], [10, 1]], 1343/2949120], [[[1, 5], [2, 5], [4, 3], [8, 1], [12, 1]], 67/221184], [[[1, 5], [2, 5], [4, 3], [10, 1], [12, 1]], 13/110592], [[[1, 5], [2, 5], [4, 4], [5, 1], [6, 1]], 37/552960], [[[1, 5], [2, 5], [4, 4], [6, 1], [8, 1]], 97/294912], [[[1, 5], [2, 5], [4, 4], [6, 1], [10, 1]], 17/245760], [[[1, 5], [2, 5], [4, 4], [6, 1], [12, 1]], 791/10616832], [[[1, 5], [2, 5], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 5], [2, 5], [5, 1], [6, 1], [10, 2]], 587/2304000], [[[1, 5], [2, 5], [5, 1], [6, 2], [7, 1]], 11/483840], [[[1, 5], [2, 5], [5, 1], [6, 2], [9, 1]], 1/311040], [[[1, 5], [2, 5], [5, 1], [6, 2], [14, 1]], 1/26880], [[[1, 5], [2, 5], [5, 1], [6, 2], [18, 1]], 11/155520], [[[1, 5], [2, 5], [5, 1], [6, 3], [10, 1]], 43709/1194393600], [[[1, 5], [2, 5], [5, 1], [6, 3], [12, 1]], 1/414720], [[[1, 5], [2, 5], [5, 1], [7, 1], [8, 1]], 7/92160], [[[1, 5], [2, 5], [5, 1], [7, 1], [10, 1]], 149/1612800], [[[1, 5], [2, 5], [5, 1], [8, 1], [9, 1]], 7/829440], [[[1, 5], [2, 5], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 5], [2, 5], [5, 1], [9, 1], [10, 1]], 557/16588800], [[[1, 5], [2, 5], [5, 1], [10, 1], [14, 1]], 149/1612800], [[[1, 5], [2, 5], [5, 1], [10, 1], [18, 1]], 557/16588800], [[[1, 5], [2, 5], [5, 2], [6, 1], [8, 1]], 173/5529600], [[[1, 5], [2, 5], [5, 2], [6, 1], [10, 1]], 77/288000], [[[1, 5], [2, 5], [6, 1], [7, 1], [9, 1]], 5/217728], [[[1, 5], [2, 5], [6, 1], [8, 1], [10, 2]], 53/1105920], [[[1, 5], [2, 5], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 5], [2, 5], [6, 1], [10, 2], [12, 1]], 139/22118400], [[[1, 5], [2, 5], [6, 1], [14, 1], [18, 1]], 143/6967296], [[[1, 5], [2, 5], [6, 2], [7, 1], [8, 1]], 5/193536], [[[1, 5], [2, 5], [6, 2], [8, 1], [14, 1]], 53/1161216], [[[1, 5], [2, 5], [6, 2], [8, 1], [18, 1]], 49/497664], [[[1, 5], [2, 5], [6, 2], [10, 1], [14, 1]], 137/3317760], [[[1, 5], [2, 5], [6, 2], [10, 1], [18, 1]], 413/4976640], [[[1, 5], [2, 5], [6, 2], [12, 1], [14, 1]], 17/1327104], [[[1, 5], [2, 5], [6, 2], [12, 1], [18, 1]], 13/1327104], [[[1, 5], [2, 5], [6, 3], [8, 1], [10, 1]], 463/59719680], [[[1, 5], [2, 5], [6, 3], [8, 1], [12, 1]], 1/442368], [[[1, 5], [2, 5], [6, 3], [10, 1], [12, 1]], 19/3317760], [[[1, 5], [2, 5], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 5], [2, 5], [8, 1], [10, 1], [14, 1]], 7/92160], [[[1, 5], [2, 5], [8, 1], [10, 1], [18, 1]], 7/829440], [[[1, 5], [2, 7], [3, 1], [4, 1], [5, 2]], 31/5529600], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 4]], 792629/4299816960], [[[1, 5], [2, 7], [3, 1], [4, 1], [8, 2]], 21/327680], [[[1, 5], [2, 7], [3, 1], [4, 1], [10, 2]], 523/4608000], [[[1, 5], [2, 7], [3, 1], [4, 1], [12, 2]], 1/13271040], [[[1, 5], [2, 7], [3, 1], [4, 2], [6, 3]], 33097/79626240], [[[1, 5], [2, 7], [3, 1], [4, 2], [7, 1]], 1997/185794560], [[[1, 5], [2, 7], [3, 1], [4, 2], [9, 1]], 1397/79626240], [[[1, 5], [2, 7], [3, 1], [4, 2], [14, 1]], 3473/23224320], [[[1, 5], [2, 7], [3, 1], [4, 2], [18, 1]], 61/9953280], [[[1, 5], [2, 7], [3, 1], [4, 3], [5, 1]], 191/11059200], [[[1, 5], [2, 7], [3, 1], [4, 3], [6, 2]], 78275/191102976], [[[1, 5], [2, 7], [3, 1], [4, 3], [8, 1]], 31583/159252480], [[[1, 5], [2, 7], [3, 1], [4, 3], [10, 1]], 1891/13271040], [[[1, 5], [2, 7], [3, 1], [4, 3], [12, 1]], 1273/53084160], [[[1, 5], [2, 7], [3, 1], [4, 4], [6, 1]], 51601/318504960], [[[1, 5], [2, 7], [3, 1], [5, 1], [6, 3]], 1501/29859840], [[[1, 5], [2, 7], [3, 1], [5, 1], [7, 1]], 73/29030400], [[[1, 5], [2, 7], [3, 1], [5, 1], [9, 1]], 1/331776], [[[1, 5], [2, 7], [3, 1], [5, 1], [14, 1]], 1/120960], [[[1, 5], [2, 7], [3, 1], [5, 2], [6, 1]], 11/1036800], [[[1, 5], [2, 7], [3, 1], [6, 1], [8, 2]], 401/13271040], [[[1, 5], [2, 7], [3, 1], [6, 1], [10, 2]], 96001/497664000], [[[1, 5], [2, 7], [3, 1], [6, 2], [7, 1]], 901/92897280], [[[1, 5], [2, 7], [3, 1], [6, 2], [9, 1]], 1/110592], [[[1, 5], [2, 7], [3, 1], [6, 2], [14, 1]], 2941/14929920], [[[1, 5], [2, 7], [3, 1], [6, 2], [18, 1]], 941/7464960], [[[1, 5], [2, 7], [3, 1], [6, 3], [8, 1]], 46633/429981696], [[[1, 5], [2, 7], [3, 1], [6, 3], [10, 1]], 197557/895795200], [[[1, 5], [2, 7], [3, 1], [6, 3], [12, 1]], 11/466560], [[[1, 5], [2, 7], [3, 1], [7, 1], [8, 1]], 229/46448640], [[[1, 5], [2, 7], [3, 1], [7, 1], [10, 1]], 1/1935360], [[[1, 5], [2, 7], [3, 1], [7, 1], [12, 1]], 23/46448640], [[[1, 5], [2, 7], [3, 1], [8, 1], [9, 1]], 289/59719680], [[[1, 5], [2, 7], [3, 1], [8, 1], [14, 1]], 221/6635520], [[[1, 5], [2, 7], [3, 1], [8, 1], [18, 1]], 1/3981312], [[[1, 5], [2, 7], [3, 1], [9, 1], [10, 1]], 1/829440], [[[1, 5], [2, 7], [3, 1], [10, 1], [14, 1]], 941/14515200], [[[1, 5], [2, 7], [3, 1], [10, 1], [18, 1]], 1/172800], [[[1, 5], [2, 7], [3, 2], [4, 1], [6, 3]], 3138581/5374771200], [[[1, 5], [2, 7], [3, 2], [4, 1], [7, 1]], 71/13934592], [[[1, 5], [2, 7], [3, 2], [4, 1], [9, 1]], 89/7962624], [[[1, 5], [2, 7], [3, 2], [4, 1], [14, 1]], 73/2322432], [[[1, 5], [2, 7], [3, 2], [4, 1], [18, 1]], 1/995328], [[[1, 5], [2, 7], [3, 2], [4, 2], [5, 1]], 473/66355200], [[[1, 5], [2, 7], [3, 2], [4, 2], [6, 2]], 5023/7962624], [[[1, 5], [2, 7], [3, 2], [4, 2], [8, 1]], 509/8847360], [[[1, 5], [2, 7], [3, 2], [4, 2], [10, 1]], 121/2764800], [[[1, 5], [2, 7], [3, 2], [4, 2], [12, 1]], 131/26542080], [[[1, 5], [2, 7], [3, 2], [4, 3], [6, 1]], 23015/127401984], [[[1, 5], [2, 7], [3, 2], [5, 1], [6, 2]], 283/5529600], [[[1, 5], [2, 7], [3, 2], [5, 1], [8, 1]], 199/99532800], [[[1, 5], [2, 7], [3, 2], [5, 1], [10, 1]], 503/24883200], [[[1, 5], [2, 7], [3, 2], [5, 1], [12, 1]], 13/33177600], [[[1, 5], [2, 7], [3, 2], [6, 1], [7, 1]], 29/3317760], [[[1, 5], [2, 7], [3, 2], [6, 1], [9, 1]], 91/5971968], [[[1, 5], [2, 7], [3, 2], [6, 1], [14, 1]], 7283/92897280], [[[1, 5], [2, 7], [3, 2], [6, 1], [18, 1]], 137/7464960], [[[1, 5], [2, 7], [3, 2], [6, 2], [8, 1]], 23071/143327232], [[[1, 5], [2, 7], [3, 2], [6, 2], [10, 1]], 3853/11943936], [[[1, 5], [2, 7], [3, 2], [6, 2], [12, 1]], 97/9953280], [[[1, 5], [2, 7], [3, 2], [8, 1], [10, 1]], 1/165888], [[[1, 5], [2, 7], [3, 2], [8, 1], [12, 1]], 1/5308416], [[[1, 5], [2, 7], [3, 3], [4, 1], [5, 1]], 2737/1791590400], [[[1, 5], [2, 7], [3, 3], [4, 1], [6, 2]], 52463/238878720], [[[1, 5], [2, 7], [3, 3], [4, 1], [8, 1]], 19843/2866544640], [[[1, 5], [2, 7], [3, 3], [4, 1], [10, 1]], 4831/1194393600], [[[1, 5], [2, 7], [3, 3], [4, 1], [12, 1]], 257/358318080], [[[1, 5], [2, 7], [3, 3], [4, 2], [6, 1]], 2921/59719680], [[[1, 5], [2, 7], [3, 3], [5, 1], [6, 1]], 5701/895795200], [[[1, 5], [2, 7], [3, 3], [6, 1], [8, 1]], 9803/716636160], [[[1, 5], [2, 7], [3, 3], [6, 1], [10, 1]], 557/24883200], [[[1, 5], [2, 7], [3, 3], [6, 1], [12, 1]], 7/2488320], [[[1, 5], [2, 7], [3, 4], [4, 1], [6, 1]], 42961/4299816960], [[[1, 5], [2, 7], [4, 1], [5, 1], [6, 3]], 21991/716636160], [[[1, 5], [2, 7], [4, 1], [5, 1], [7, 1]], 1289/154828800], [[[1, 5], [2, 7], [4, 1], [5, 1], [9, 1]], 61/24883200], [[[1, 5], [2, 7], [4, 1], [5, 1], [14, 1]], 1663/38707200], [[[1, 5], [2, 7], [4, 1], [5, 1], [18, 1]], 13/3317760], [[[1, 5], [2, 7], [4, 1], [5, 2], [6, 1]], 47/4608000], [[[1, 5], [2, 7], [4, 1], [6, 1], [8, 2]], 4273/26542080], [[[1, 5], [2, 7], [4, 1], [6, 1], [10, 2]], 613/2304000], [[[1, 5], [2, 7], [4, 1], [6, 1], [12, 2]], 1/2654208], [[[1, 5], [2, 7], [4, 1], [6, 2], [7, 1]], 13/1548288], [[[1, 5], [2, 7], [4, 1], [6, 2], [9, 1]], 1/1990656], [[[1, 5], [2, 7], [4, 1], [6, 2], [14, 1]], 32437/174182400], [[[1, 5], [2, 7], [4, 1], [6, 2], [18, 1]], 1985309/10749542400], [[[1, 5], [2, 7], [4, 1], [6, 3], [8, 1]], 494837/5733089280], [[[1, 5], [2, 7], [4, 1], [6, 3], [10, 1]], 3247567/31352832000], [[[1, 5], [2, 7], [4, 1], [6, 3], [12, 1]], 41339/1343692800], [[[1, 5], [2, 7], [4, 1], [7, 1], [8, 1]], 403/30965760], [[[1, 5], [2, 7], [4, 1], [7, 1], [10, 1]], 1/172032], [[[1, 5], [2, 7], [4, 1], [7, 1], [12, 1]], 1/1548288], [[[1, 5], [2, 7], [4, 1], [8, 1], [9, 1]], 259/39813120], [[[1, 5], [2, 7], [4, 1], [8, 1], [14, 1]], 145/884736], [[[1, 5], [2, 7], [4, 1], [8, 1], [18, 1]], 1109/79626240], [[[1, 5], [2, 7], [4, 1], [9, 1], [10, 1]], 31/16588800], [[[1, 5], [2, 7], [4, 1], [9, 1], [12, 1]], 1/9953280], [[[1, 5], [2, 7], [4, 1], [10, 1], [14, 1]], 3157961/13934592000], [[[1, 5], [2, 7], [4, 1], [10, 1], [18, 1]], 13987/435456000], [[[1, 5], [2, 7], [4, 1], [12, 1], [14, 1]], 211/23224320], [[[1, 5], [2, 7], [4, 1], [12, 1], [18, 1]], 1/1990656], [[[1, 5], [2, 7], [4, 2], [5, 1], [6, 2]], 217/3317760], [[[1, 5], [2, 7], [4, 2], [5, 1], [8, 1]], 367/2764800], [[[1, 5], [2, 7], [4, 2], [5, 1], [10, 1]], 67483/221184000], [[[1, 5], [2, 7], [4, 2], [5, 1], [12, 1]], 1/184320], [[[1, 5], [2, 7], [4, 2], [6, 1], [7, 1]], 13/573440], [[[1, 5], [2, 7], [4, 2], [6, 1], [9, 1]], 11/1327104], [[[1, 5], [2, 7], [4, 2], [6, 1], [14, 1]], 11197/37158912], [[[1, 5], [2, 7], [4, 2], [6, 1], [18, 1]], 4723/26542080], [[[1, 5], [2, 7], [4, 2], [6, 2], [8, 1]], 10127/26542080], [[[1, 5], [2, 7], [4, 2], [6, 2], [10, 1]], 1127/3981312], [[[1, 5], [2, 7], [4, 2], [6, 2], [12, 1]], 559/6635520], [[[1, 5], [2, 7], [4, 2], [8, 1], [10, 1]], 2783/5529600], [[[1, 5], [2, 7], [4, 2], [8, 1], [12, 1]], 61/2211840], [[[1, 5], [2, 7], [4, 2], [10, 1], [12, 1]], 29/691200], [[[1, 5], [2, 7], [4, 3], [5, 1], [6, 1]], 949/13271040], [[[1, 5], [2, 7], [4, 3], [6, 1], [8, 1]], 24949/53084160], [[[1, 5], [2, 7], [4, 3], [6, 1], [10, 1]], 114047/398131200], [[[1, 5], [2, 7], [4, 3], [6, 1], [12, 1]], 7579/106168320], [[[1, 5], [2, 7], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 5], [2, 7], [5, 1], [6, 1], [9, 1]], 1/1244160], [[[1, 5], [2, 7], [5, 1], [6, 1], [14, 1]], 11/322560], [[[1, 5], [2, 7], [5, 1], [6, 1], [18, 1]], 19/1244160], [[[1, 5], [2, 7], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 5], [2, 7], [5, 1], [6, 2], [10, 1]], 2353/19906560], [[[1, 5], [2, 7], [5, 1], [6, 2], [12, 1]], 1/414720], [[[1, 5], [2, 7], [5, 1], [8, 1], [10, 1]], 6577/99532800], [[[1, 5], [2, 7], [6, 1], [7, 1], [8, 1]], 17/3096576], [[[1, 5], [2, 7], [6, 1], [8, 1], [9, 1]], 1/19906560], [[[1, 5], [2, 7], [6, 1], [8, 1], [14, 1]], 3511/46448640], [[[1, 5], [2, 7], [6, 1], [8, 1], [18, 1]], 223/6635520], [[[1, 5], [2, 7], [6, 1], [10, 1], [14, 1]], 3503/29030400], [[[1, 5], [2, 7], [6, 1], [10, 1], [18, 1]], 527/8294400], [[[1, 5], [2, 7], [6, 1], [12, 1], [14, 1]], 53/9289728], [[[1, 5], [2, 7], [6, 2], [8, 1], [10, 1]], 6431/99532800], [[[1, 5], [2, 7], [6, 2], [8, 1], [12, 1]], 19/8847360], [[[1, 5], [2, 7], [6, 2], [10, 1], [12, 1]], 391/33177600], [[[1, 5], [2, 9], [3, 1], [4, 1], [6, 3]], 3550519/17199267840], [[[1, 5], [2, 9], [3, 1], [4, 1], [7, 1]], 5/16515072], [[[1, 5], [2, 9], [3, 1], [4, 1], [9, 1]], 121/318504960], [[[1, 5], [2, 9], [3, 1], [4, 1], [14, 1]], 2621/104509440], [[[1, 5], [2, 9], [3, 1], [4, 1], [18, 1]], 461/836075520], [[[1, 5], [2, 9], [3, 1], [4, 2], [5, 1]], 163/132710400], [[[1, 5], [2, 9], [3, 1], [4, 2], [6, 2]], 9853723/40131624960], [[[1, 5], [2, 9], [3, 1], [4, 2], [8, 1]], 6841/297271296], [[[1, 5], [2, 9], [3, 1], [4, 2], [10, 1]], 32191/696729600], [[[1, 5], [2, 9], [3, 1], [4, 2], [12, 1]], 53/106168320], [[[1, 5], [2, 9], [3, 1], [4, 3], [6, 1]], 217807/2229534720], [[[1, 5], [2, 9], [3, 1], [5, 1], [6, 2]], 29581/3715891200], [[[1, 5], [2, 9], [3, 1], [5, 1], [8, 1]], 1/33177600], [[[1, 5], [2, 9], [3, 1], [5, 1], [10, 1]], 44087/11943936000], [[[1, 5], [2, 9], [3, 1], [5, 1], [12, 1]], 1/265420800], [[[1, 5], [2, 9], [3, 1], [6, 1], [7, 1]], 25/111476736], [[[1, 5], [2, 9], [3, 1], [6, 1], [9, 1]], 19/79626240], [[[1, 5], [2, 9], [3, 1], [6, 1], [14, 1]], 98657/2508226560], [[[1, 5], [2, 9], [3, 1], [6, 1], [18, 1]], 53633/7524679680], [[[1, 5], [2, 9], [3, 1], [6, 2], [8, 1]], 9241693/240789749760], [[[1, 5], [2, 9], [3, 1], [6, 2], [10, 1]], 450329/3135283200], [[[1, 5], [2, 9], [3, 1], [6, 2], [12, 1]], 2341/1114767360], [[[1, 5], [2, 9], [3, 1], [8, 1], [10, 1]], 2959/696729600], [[[1, 5], [2, 9], [3, 1], [8, 1], [12, 1]], 1/212336640], [[[1, 5], [2, 9], [3, 2], [4, 1], [5, 1]], 169/1592524800], [[[1, 5], [2, 9], [3, 2], [4, 1], [6, 2]], 17377807/150493593600], [[[1, 5], [2, 9], [3, 2], [4, 1], [8, 1]], 2821/1911029760], [[[1, 5], [2, 9], [3, 2], [4, 1], [10, 1]], 923/174182400], [[[1, 5], [2, 9], [3, 2], [4, 1], [12, 1]], 1/26542080], [[[1, 5], [2, 9], [3, 2], [4, 2], [6, 1]], 8473/222953472], [[[1, 5], [2, 9], [3, 2], [5, 1], [6, 1]], 103/199065600], [[[1, 5], [2, 9], [3, 2], [6, 1], [8, 1]], 152057/40131624960], [[[1, 5], [2, 9], [3, 2], [6, 1], [10, 1]], 1256057/50164531200], [[[1, 5], [2, 9], [3, 2], [6, 1], [12, 1]], 23/191102976], [[[1, 5], [2, 9], [3, 3], [4, 1], [6, 1]], 505/127401984], [[[1, 5], [2, 9], [4, 1], [5, 1], [6, 2]], 4427/298598400], [[[1, 5], [2, 9], [4, 1], [5, 1], [8, 1]], 1591/530841600], [[[1, 5], [2, 9], [4, 1], [5, 1], [10, 1]], 45749/1548288000], [[[1, 5], [2, 9], [4, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 5], [2, 9], [4, 1], [6, 1], [9, 1]], 11/79626240], [[[1, 5], [2, 9], [4, 1], [6, 1], [14, 1]], 1718279/16721510400], [[[1, 5], [2, 9], [4, 1], [6, 1], [18, 1]], 1559209/50164531200], [[[1, 5], [2, 9], [4, 1], [6, 2], [8, 1]], 341137/4013162496], [[[1, 5], [2, 9], [4, 1], [6, 2], [10, 1]], 46593493/250822656000], [[[1, 5], [2, 9], [4, 1], [6, 2], [12, 1]], 28243/2786918400], [[[1, 5], [2, 9], [4, 1], [8, 1], [10, 1]], 358699/5573836800], [[[1, 5], [2, 9], [4, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 5], [2, 9], [4, 1], [10, 1], [12, 1]], 683/348364800], [[[1, 5], [2, 9], [4, 2], [5, 1], [6, 1]], 3439/232243200], [[[1, 5], [2, 9], [4, 2], [6, 1], [8, 1]], 29803/212336640], [[[1, 5], [2, 9], [4, 2], [6, 1], [10, 1]], 291593/1194393600], [[[1, 5], [2, 9], [4, 2], [6, 1], [12, 1]], 653/61931520], [[[1, 5], [2, 9], [5, 1], [6, 1], [8, 1]], 1/921600], [[[1, 5], [2, 9], [5, 1], [6, 1], [10, 1]], 154597/5971968000], [[[1, 5], [2, 9], [5, 1], [6, 1], [12, 1]], 1/16588800], [[[1, 5], [2, 9], [6, 1], [8, 1], [10, 1]], 371/11943936], [[[1, 5], [2, 9], [6, 1], [8, 1], [12, 1]], 1/9175040], [[[1, 5], [2, 9], [6, 1], [10, 1], [12, 1]], 269/185794560], [[[1, 5], [2, 11], [3, 1], [4, 1], [5, 1]], 323/22295347200], [[[1, 5], [2, 11], [3, 1], [4, 1], [6, 2]], 153047047/4815794995200], [[[1, 5], [2, 11], [3, 1], [4, 1], [8, 1]], 40643/80263249920], [[[1, 5], [2, 11], [3, 1], [4, 1], [10, 1]], 471437/125411328000], [[[1, 5], [2, 11], [3, 1], [4, 1], [12, 1]], 383/89181388800], [[[1, 5], [2, 11], [3, 1], [4, 2], [6, 1]], 275893/17836277760], [[[1, 5], [2, 11], [3, 1], [5, 1], [6, 1]], 43577/334430208000], [[[1, 5], [2, 11], [3, 1], [6, 1], [8, 1]], 8013347/6621718118400], [[[1, 5], [2, 11], [3, 1], [6, 1], [10, 1]], 1759579/167215104000], [[[1, 5], [2, 11], [3, 1], [6, 1], [12, 1]], 173/25082265600], [[[1, 5], [2, 11], [3, 2], [4, 1], [6, 1]], 276684319/132434362368000], [[[1, 5], [2, 11], [4, 1], [5, 1], [6, 1]], 4651/5016453120], [[[1, 5], [2, 11], [4, 1], [6, 1], [8, 1]], 259031/28665446400], [[[1, 5], [2, 11], [4, 1], [6, 1], [10, 1]], 19321607/501645312000], [[[1, 5], [2, 11], [4, 1], [6, 1], [12, 1]], 25043797/66217181184000], [[[1, 5], [2, 13], [3, 1], [4, 1], [6, 1]], 10042787/13243436236800], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 3]], 1/8000], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 6]], 1/1074954240], [[[1, 6], [2, 2], [3, 1], [4, 1], [7, 2]], 13/56448], [[[1, 6], [2, 2], [3, 1], [4, 1], [9, 2]], 29/497664], [[[1, 6], [2, 2], [3, 1], [4, 2], [11, 1]], 1/8448], [[[1, 6], [2, 2], [3, 1], [4, 2], [22, 1]], 1/184320], [[[1, 6], [2, 2], [3, 1], [4, 3], [5, 2]], 67/1658880], [[[1, 6], [2, 2], [3, 1], [4, 3], [8, 2]], 59/884736], [[[1, 6], [2, 2], [3, 1], [4, 4], [6, 3]], 1/47775744], [[[1, 6], [2, 2], [3, 1], [4, 4], [7, 1]], 607/18579456], [[[1, 6], [2, 2], [3, 1], [4, 4], [9, 1]], 319/39813120], [[[1, 6], [2, 2], [3, 1], [4, 4], [18, 1]], 1/663552], [[[1, 6], [2, 2], [3, 1], [4, 5], [5, 1]], 1/442368], [[[1, 6], [2, 2], [3, 1], [4, 5], [8, 1]], 1/196608], [[[1, 6], [2, 2], [3, 1], [4, 6], [6, 1]], 1/10616832], [[[1, 6], [2, 2], [3, 1], [5, 1], [11, 1]], 89/380160], [[[1, 6], [2, 2], [3, 1], [5, 2], [6, 3]], 1/4147200], [[[1, 6], [2, 2], [3, 1], [5, 2], [7, 1]], 83/172800], [[[1, 6], [2, 2], [3, 1], [5, 2], [9, 1]], 367/1036800], [[[1, 6], [2, 2], [3, 1], [5, 3], [6, 1]], 37/144000], [[[1, 6], [2, 2], [3, 1], [6, 1], [7, 2]], 17/141120], [[[1, 6], [2, 2], [3, 1], [6, 1], [9, 2]], 1/279936], [[[1, 6], [2, 2], [3, 1], [6, 2], [11, 1]], 829/218972160], [[[1, 6], [2, 2], [3, 1], [6, 2], [22, 1]], 1/912384], [[[1, 6], [2, 2], [3, 1], [6, 4], [7, 1]], 1/8709120], [[[1, 6], [2, 2], [3, 1], [6, 4], [18, 1]], 1/2239488], [[[1, 6], [2, 2], [3, 1], [7, 1], [8, 2]], 1/43008], [[[1, 6], [2, 2], [3, 1], [8, 1], [11, 1]], 13/152064], [[[1, 6], [2, 2], [3, 1], [8, 2], [9, 1]], 1/55296], [[[1, 6], [2, 2], [3, 1], [10, 1], [11, 1]], 1/95040], [[[1, 6], [2, 2], [3, 1], [11, 1], [12, 1]], 7/1351680], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 5]], 1/35831808], [[[1, 6], [2, 2], [3, 2], [4, 1], [11, 1]], 173/1216512], [[[1, 6], [2, 2], [3, 2], [4, 2], [5, 2]], 269/2764800], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 4]], 1/5971968], [[[1, 6], [2, 2], [3, 2], [4, 2], [8, 2]], 17/442368], [[[1, 6], [2, 2], [3, 2], [4, 2], [12, 2]], 1/414720], [[[1, 6], [2, 2], [3, 2], [4, 3], [6, 3]], 23/119439360], [[[1, 6], [2, 2], [3, 2], [4, 3], [7, 1]], 143/4354560], [[[1, 6], [2, 2], [3, 2], [4, 3], [9, 1]], 23/414720], [[[1, 6], [2, 2], [3, 2], [4, 4], [5, 1]], 701/39813120], [[[1, 6], [2, 2], [3, 2], [4, 4], [6, 2]], 197/159252480], [[[1, 6], [2, 2], [3, 2], [4, 4], [8, 1]], 307/7962624], [[[1, 6], [2, 2], [3, 2], [4, 4], [10, 1]], 1/552960], [[[1, 6], [2, 2], [3, 2], [4, 4], [12, 1]], 7/1658880], [[[1, 6], [2, 2], [3, 2], [4, 5], [6, 1]], 5/3981312], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 4]], 1/3732480], [[[1, 6], [2, 2], [3, 2], [5, 1], [8, 2]], 1/92160], [[[1, 6], [2, 2], [3, 2], [5, 2], [6, 2]], 6061/24883200], [[[1, 6], [2, 2], [3, 2], [5, 2], [8, 1]], 17/230400], [[[1, 6], [2, 2], [3, 2], [5, 2], [10, 1]], 29/216000], [[[1, 6], [2, 2], [3, 2], [5, 2], [12, 1]], 79/1382400], [[[1, 6], [2, 2], [3, 2], [6, 1], [11, 1]], 467/2737152], [[[1, 6], [2, 2], [3, 2], [6, 1], [22, 1]], 107/24330240], [[[1, 6], [2, 2], [3, 2], [6, 2], [8, 2]], 1/221184], [[[1, 6], [2, 2], [3, 2], [6, 3], [7, 1]], 97/8709120], [[[1, 6], [2, 2], [3, 2], [6, 3], [9, 1]], 1/2239488], [[[1, 6], [2, 2], [3, 2], [6, 3], [18, 1]], 49/19906560], [[[1, 6], [2, 2], [3, 2], [6, 4], [8, 1]], 13/7464960], [[[1, 6], [2, 2], [3, 2], [6, 4], [12, 1]], 1/1990656], [[[1, 6], [2, 2], [3, 2], [7, 1], [9, 1]], 37/145152], [[[1, 6], [2, 2], [3, 3], [4, 1], [5, 2]], 13669/199065600], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 4]], 481/119439360], [[[1, 6], [2, 2], [3, 3], [4, 1], [8, 2]], 721/15925248], [[[1, 6], [2, 2], [3, 3], [4, 1], [12, 2]], 1/248832], [[[1, 6], [2, 2], [3, 3], [4, 2], [6, 3]], 11/1327104], [[[1, 6], [2, 2], [3, 3], [4, 2], [7, 1]], 1457/39813120], [[[1, 6], [2, 2], [3, 3], [4, 2], [9, 1]], 79/746496], [[[1, 6], [2, 2], [3, 3], [4, 3], [5, 1]], 1781/99532800], [[[1, 6], [2, 2], [3, 3], [4, 3], [6, 2]], 143/23887872], [[[1, 6], [2, 2], [3, 3], [4, 3], [8, 1]], 1609/95551488], [[[1, 6], [2, 2], [3, 3], [4, 3], [10, 1]], 1/1244160], [[[1, 6], [2, 2], [3, 3], [4, 3], [12, 1]], 85/11943936], [[[1, 6], [2, 2], [3, 3], [4, 4], [6, 1]], 745/143327232], [[[1, 6], [2, 2], [3, 3], [5, 1], [6, 3]], 19/622080], [[[1, 6], [2, 2], [3, 3], [5, 1], [7, 1]], 110837/696729600], [[[1, 6], [2, 2], [3, 3], [5, 1], [9, 1]], 29/139968], [[[1, 6], [2, 2], [3, 3], [5, 2], [6, 1]], 1421/7464960], [[[1, 6], [2, 2], [3, 3], [6, 1], [8, 2]], 1/373248], [[[1, 6], [2, 2], [3, 3], [6, 2], [7, 1]], 24047/156764160], [[[1, 6], [2, 2], [3, 3], [6, 2], [9, 1]], 189287/1612431360], [[[1, 6], [2, 2], [3, 3], [6, 2], [18, 1]], 1/373248], [[[1, 6], [2, 2], [3, 3], [6, 3], [8, 1]], 31/2985984], [[[1, 6], [2, 2], [3, 3], [6, 3], [10, 1]], 1/207360], [[[1, 6], [2, 2], [3, 3], [6, 3], [12, 1]], 1/497664], [[[1, 6], [2, 2], [3, 3], [7, 1], [8, 1]], 341/5806080], [[[1, 6], [2, 2], [3, 3], [7, 1], [10, 1]], 121/21772800], [[[1, 6], [2, 2], [3, 3], [7, 1], [12, 1]], 11/193536], [[[1, 6], [2, 2], [3, 3], [8, 1], [9, 1]], 55/559872], [[[1, 6], [2, 2], [3, 3], [9, 1], [10, 1]], 1/87480], [[[1, 6], [2, 2], [3, 3], [9, 1], [12, 1]], 127/3317760], [[[1, 6], [2, 2], [3, 4], [4, 1], [6, 3]], 4535/214990848], [[[1, 6], [2, 2], [3, 4], [4, 1], [7, 1]], 4813/83607552], [[[1, 6], [2, 2], [3, 4], [4, 1], [9, 1]], 1291/11943936], [[[1, 6], [2, 2], [3, 4], [4, 2], [5, 1]], 1999/119439360], [[[1, 6], [2, 2], [3, 4], [4, 2], [6, 2]], 2413/107495424], [[[1, 6], [2, 2], [3, 4], [4, 2], [8, 1]], 515/23887872], [[[1, 6], [2, 2], [3, 4], [4, 2], [10, 1]], 1/460800], [[[1, 6], [2, 2], [3, 4], [4, 2], [12, 1]], 353/11197440], [[[1, 6], [2, 2], [3, 4], [4, 3], [6, 1]], 11183/1074954240], [[[1, 6], [2, 2], [3, 4], [5, 1], [6, 2]], 9041/67184640], [[[1, 6], [2, 2], [3, 4], [5, 1], [8, 1]], 53/7464960], [[[1, 6], [2, 2], [3, 4], [5, 1], [10, 1]], 859/49766400], [[[1, 6], [2, 2], [3, 4], [5, 1], [12, 1]], 73/3732480], [[[1, 6], [2, 2], [3, 4], [6, 1], [7, 1]], 10657/78382080], [[[1, 6], [2, 2], [3, 4], [6, 1], [9, 1]], 487/2519424], [[[1, 6], [2, 2], [3, 4], [6, 2], [8, 1]], 169/33592320], [[[1, 6], [2, 2], [3, 4], [6, 2], [10, 1]], 1/2799360], [[[1, 6], [2, 2], [3, 4], [6, 2], [12, 1]], 1787/53747712], [[[1, 6], [2, 2], [3, 4], [8, 1], [12, 1]], 5/1492992], [[[1, 6], [2, 2], [3, 4], [10, 1], [12, 1]], 1/466560], [[[1, 6], [2, 2], [3, 5], [4, 1], [5, 1]], 49/2985984], [[[1, 6], [2, 2], [3, 5], [4, 1], [6, 2]], 1079/107495424], [[[1, 6], [2, 2], [3, 5], [4, 1], [8, 1]], 25/1990656], [[[1, 6], [2, 2], [3, 5], [4, 1], [10, 1]], 41/22394880], [[[1, 6], [2, 2], [3, 5], [4, 1], [12, 1]], 857/53747712], [[[1, 6], [2, 2], [3, 5], [4, 2], [6, 1]], 281/35831808], [[[1, 6], [2, 2], [3, 5], [5, 1], [6, 1]], 23/559872], [[[1, 6], [2, 2], [3, 5], [6, 1], [8, 1]], 359/26873856], [[[1, 6], [2, 2], [3, 5], [6, 1], [12, 1]], 431/13436928], [[[1, 6], [2, 2], [3, 6], [4, 1], [6, 1]], 10337/1934917632], [[[1, 6], [2, 2], [4, 1], [5, 1], [11, 1]], 39/112640], [[[1, 6], [2, 2], [4, 1], [5, 2], [7, 1]], 589/1075200], [[[1, 6], [2, 2], [4, 1], [5, 2], [9, 1]], 229/2764800], [[[1, 6], [2, 2], [4, 1], [5, 3], [6, 1]], 1/19200], [[[1, 6], [2, 2], [4, 1], [6, 1], [7, 2]], 1/14112], [[[1, 6], [2, 2], [4, 1], [6, 1], [18, 2]], 1/2488320], [[[1, 6], [2, 2], [4, 1], [6, 2], [22, 1]], 1/6082560], [[[1, 6], [2, 2], [4, 1], [6, 3], [8, 2]], 1/15925248], [[[1, 6], [2, 2], [4, 1], [6, 3], [10, 2]], 1/995328000], [[[1, 6], [2, 2], [4, 1], [6, 4], [14, 1]], 1/418037760], [[[1, 6], [2, 2], [4, 1], [6, 4], [18, 1]], 13/179159040], [[[1, 6], [2, 2], [4, 1], [7, 1], [8, 2]], 1/14336], [[[1, 6], [2, 2], [4, 1], [8, 1], [11, 1]], 17/270336], [[[1, 6], [2, 2], [4, 1], [8, 1], [22, 1]], 13/4055040], [[[1, 6], [2, 2], [4, 1], [8, 2], [9, 1]], 1/221184], [[[1, 6], [2, 2], [4, 1], [8, 2], [18, 1]], 1/221184], [[[1, 6], [2, 2], [4, 1], [10, 1], [11, 1]], 1/633600], [[[1, 6], [2, 2], [4, 1], [10, 1], [22, 1]], 1/1689600], [[[1, 6], [2, 2], [4, 1], [10, 2], [14, 1]], 1/5376000], [[[1, 6], [2, 2], [4, 1], [10, 2], [18, 1]], 1/13824000], [[[1, 6], [2, 2], [4, 1], [11, 1], [12, 1]], 1/380160], [[[1, 6], [2, 2], [4, 2], [5, 1], [8, 2]], 3/40960], [[[1, 6], [2, 2], [4, 2], [5, 2], [6, 2]], 7/1382400], [[[1, 6], [2, 2], [4, 2], [5, 2], [8, 1]], 7/61440], [[[1, 6], [2, 2], [4, 2], [5, 2], [10, 1]], 23/256000], [[[1, 6], [2, 2], [4, 2], [5, 2], [12, 1]], 11/230400], [[[1, 6], [2, 2], [4, 2], [6, 1], [11, 1]], 49/1216512], [[[1, 6], [2, 2], [4, 2], [6, 2], [8, 2]], 1/442368], [[[1, 6], [2, 2], [4, 2], [6, 3], [14, 1]], 1/278691840], [[[1, 6], [2, 2], [4, 2], [6, 4], [8, 1]], 1/39813120], [[[1, 6], [2, 2], [4, 2], [6, 4], [10, 1]], 1/597196800], [[[1, 6], [2, 2], [4, 2], [7, 1], [9, 1]], 17/552960], [[[1, 6], [2, 2], [4, 2], [8, 2], [10, 1]], 1/122880], [[[1, 6], [2, 2], [4, 2], [14, 1], [18, 1]], 1/3870720], [[[1, 6], [2, 2], [4, 3], [5, 1], [7, 1]], 1091/19353600], [[[1, 6], [2, 2], [4, 3], [5, 1], [9, 1]], 23/4147200], [[[1, 6], [2, 2], [4, 3], [5, 2], [6, 1]], 1/184320], [[[1, 6], [2, 2], [4, 3], [6, 1], [8, 2]], 7/884736], [[[1, 6], [2, 2], [4, 3], [6, 3], [8, 1]], 7/95551488], [[[1, 6], [2, 2], [4, 3], [7, 1], [8, 1]], 1/20160], [[[1, 6], [2, 2], [4, 3], [7, 1], [10, 1]], 1/322560], [[[1, 6], [2, 2], [4, 3], [7, 1], [12, 1]], 1/193536], [[[1, 6], [2, 2], [4, 3], [8, 1], [9, 1]], 1/147456], [[[1, 6], [2, 2], [4, 3], [8, 1], [18, 1]], 7/1327104], [[[1, 6], [2, 2], [4, 4], [5, 1], [8, 1]], 7/368640], [[[1, 6], [2, 2], [4, 4], [5, 1], [10, 1]], 77/14745600], [[[1, 6], [2, 2], [4, 4], [5, 1], [12, 1]], 1/276480], [[[1, 6], [2, 2], [4, 4], [6, 1], [7, 1]], 31/7741440], [[[1, 6], [2, 2], [4, 4], [8, 1], [10, 1]], 1/737280], [[[1, 6], [2, 2], [4, 4], [8, 1], [12, 1]], 7/442368], [[[1, 6], [2, 2], [5, 1], [6, 1], [11, 1]], 1/21120], [[[1, 6], [2, 2], [5, 1], [6, 4], [10, 1]], 1/29859840], [[[1, 6], [2, 2], [5, 1], [7, 1], [9, 1]], 131/1382400], [[[1, 6], [2, 2], [5, 1], [8, 1], [10, 2]], 1/76800], [[[1, 6], [2, 2], [5, 1], [8, 2], [10, 1]], 1/61440], [[[1, 6], [2, 2], [5, 2], [6, 1], [7, 1]], 1/28800], [[[1, 6], [2, 2], [5, 2], [6, 1], [9, 1]], 1/518400], [[[1, 6], [2, 2], [5, 2], [8, 1], [10, 1]], 3/25600], [[[1, 6], [2, 2], [6, 1], [7, 1], [8, 2]], 1/322560], [[[1, 6], [2, 2], [6, 1], [8, 1], [11, 1]], 1/760320], [[[1, 6], [2, 2], [6, 1], [12, 1], [22, 1]], 1/12165120], [[[1, 6], [2, 2], [6, 2], [7, 1], [9, 1]], 1/1088640], [[[1, 6], [2, 2], [6, 3], [10, 1], [14, 1]], 1/2090188800], [[[1, 6], [2, 2], [6, 3], [12, 1], [18, 1]], 1/29859840], [[[1, 6], [2, 2], [7, 1], [8, 1], [9, 1]], 1/80640], [[[1, 6], [2, 2], [7, 1], [9, 1], [10, 1]], 1/302400], [[[1, 6], [2, 2], [10, 1], [14, 1], [18, 1]], 1/29030400], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 5]], 5/7962624], [[[1, 6], [2, 4], [3, 1], [4, 1], [11, 1]], 91/456192], [[[1, 6], [2, 4], [3, 1], [4, 1], [22, 1]], 19/608256], [[[1, 6], [2, 4], [3, 1], [4, 2], [5, 2]], 811/2764800], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 4]], 301/159252480], [[[1, 6], [2, 4], [3, 1], [4, 2], [8, 2]], 29/55296], [[[1, 6], [2, 4], [3, 1], [4, 2], [10, 2]], 39/2048000], [[[1, 6], [2, 4], [3, 1], [4, 2], [12, 2]], 1/221184], [[[1, 6], [2, 4], [3, 1], [4, 3], [6, 3]], 781/26542080], [[[1, 6], [2, 4], [3, 1], [4, 3], [7, 1]], 71/344064], [[[1, 6], [2, 4], [3, 1], [4, 3], [9, 1]], 1727/11943936], [[[1, 6], [2, 4], [3, 1], [4, 3], [14, 1]], 5/258048], [[[1, 6], [2, 4], [3, 1], [4, 3], [18, 1]], 1/82944], [[[1, 6], [2, 4], [3, 1], [4, 4], [5, 1]], 4481/53084160], [[[1, 6], [2, 4], [3, 1], [4, 4], [6, 2]], 7559/254803968], [[[1, 6], [2, 4], [3, 1], [4, 4], [8, 1]], 619/2654208], [[[1, 6], [2, 4], [3, 1], [4, 4], [10, 1]], 137/6635520], [[[1, 6], [2, 4], [3, 1], [4, 4], [12, 1]], 5173/127401984], [[[1, 6], [2, 4], [3, 1], [4, 5], [6, 1]], 239/10616832], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 4]], 1/1866240], [[[1, 6], [2, 4], [3, 1], [5, 1], [8, 2]], 23/552960], [[[1, 6], [2, 4], [3, 1], [5, 1], [10, 2]], 11/86400], [[[1, 6], [2, 4], [3, 1], [5, 2], [6, 2]], 15209/132710400], [[[1, 6], [2, 4], [3, 1], [5, 2], [8, 1]], 1111/8294400], [[[1, 6], [2, 4], [3, 1], [5, 2], [10, 1]], 653/1728000], [[[1, 6], [2, 4], [3, 1], [5, 2], [12, 1]], 361/22118400], [[[1, 6], [2, 4], [3, 1], [6, 1], [11, 1]], 12689/109486080], [[[1, 6], [2, 4], [3, 1], [6, 1], [22, 1]], 119/7299072], [[[1, 6], [2, 4], [3, 1], [6, 2], [8, 2]], 1/55296], [[[1, 6], [2, 4], [3, 1], [6, 2], [10, 2]], 7/1036800], [[[1, 6], [2, 4], [3, 1], [6, 3], [7, 1]], 121/8709120], [[[1, 6], [2, 4], [3, 1], [6, 3], [9, 1]], 7/1119744], [[[1, 6], [2, 4], [3, 1], [6, 3], [14, 1]], 121/20901888], [[[1, 6], [2, 4], [3, 1], [6, 3], [18, 1]], 127/5971968], [[[1, 6], [2, 4], [3, 1], [6, 4], [8, 1]], 277/71663616], [[[1, 6], [2, 4], [3, 1], [6, 4], [10, 1]], 187/179159040], [[[1, 6], [2, 4], [3, 1], [6, 4], [12, 1]], 5/3981312], [[[1, 6], [2, 4], [3, 1], [7, 1], [9, 1]], 2867/34836480], [[[1, 6], [2, 4], [3, 1], [8, 1], [10, 2]], 17/5529600], [[[1, 6], [2, 4], [3, 1], [14, 1], [18, 1]], 1/290304], [[[1, 6], [2, 4], [3, 2], [4, 1], [5, 2]], 31/172800], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 4]], 181/4976640], [[[1, 6], [2, 4], [3, 2], [4, 1], [8, 2]], 583/3981312], [[[1, 6], [2, 4], [3, 2], [4, 1], [10, 2]], 1/276480], [[[1, 6], [2, 4], [3, 2], [4, 1], [12, 2]], 1/248832], [[[1, 6], [2, 4], [3, 2], [4, 2], [6, 3]], 11989/59719680], [[[1, 6], [2, 4], [3, 2], [4, 2], [7, 1]], 2437/9289728], [[[1, 6], [2, 4], [3, 2], [4, 2], [9, 1]], 7583/23887872], [[[1, 6], [2, 4], [3, 2], [4, 2], [14, 1]], 1/48384], [[[1, 6], [2, 4], [3, 2], [4, 2], [18, 1]], 1/331776], [[[1, 6], [2, 4], [3, 2], [4, 3], [5, 1]], 1487/9953280], [[[1, 6], [2, 4], [3, 2], [4, 3], [6, 2]], 665/2654208], [[[1, 6], [2, 4], [3, 2], [4, 3], [8, 1]], 3815/10616832], [[[1, 6], [2, 4], [3, 2], [4, 3], [10, 1]], 17/414720], [[[1, 6], [2, 4], [3, 2], [4, 3], [12, 1]], 97/995328], [[[1, 6], [2, 4], [3, 2], [4, 4], [6, 1]], 2261/17694720], [[[1, 6], [2, 4], [3, 2], [5, 1], [6, 3]], 839/5971968], [[[1, 6], [2, 4], [3, 2], [5, 1], [7, 1]], 331/1990656], [[[1, 6], [2, 4], [3, 2], [5, 1], [9, 1]], 31/138240], [[[1, 6], [2, 4], [3, 2], [5, 2], [6, 1]], 151/388800], [[[1, 6], [2, 4], [3, 2], [6, 1], [8, 2]], 7/110592], [[[1, 6], [2, 4], [3, 2], [6, 1], [10, 2]], 2357/221184000], [[[1, 6], [2, 4], [3, 2], [6, 2], [7, 1]], 16783/55738368], [[[1, 6], [2, 4], [3, 2], [6, 2], [9, 1]], 7607/39813120], [[[1, 6], [2, 4], [3, 2], [6, 2], [14, 1]], 2447/92897280], [[[1, 6], [2, 4], [3, 2], [6, 2], [18, 1]], 4907/119439360], [[[1, 6], [2, 4], [3, 2], [6, 3], [8, 1]], 7811/119439360], [[[1, 6], [2, 4], [3, 2], [6, 3], [10, 1]], 7757/199065600], [[[1, 6], [2, 4], [3, 2], [6, 3], [12, 1]], 197/15925248], [[[1, 6], [2, 4], [3, 2], [7, 1], [8, 1]], 421/4354560], [[[1, 6], [2, 4], [3, 2], [7, 1], [10, 1]], 13/241920], [[[1, 6], [2, 4], [3, 2], [7, 1], [12, 1]], 1387/46448640], [[[1, 6], [2, 4], [3, 2], [8, 1], [9, 1]], 361/2488320], [[[1, 6], [2, 4], [3, 2], [9, 1], [10, 1]], 1/13824], [[[1, 6], [2, 4], [3, 2], [9, 1], [12, 1]], 145/11943936], [[[1, 6], [2, 4], [3, 2], [10, 1], [14, 1]], 1/645120], [[[1, 6], [2, 4], [3, 3], [4, 1], [6, 3]], 147763/358318080], [[[1, 6], [2, 4], [3, 3], [4, 1], [7, 1]], 8821/69672960], [[[1, 6], [2, 4], [3, 3], [4, 1], [9, 1]], 2945/13436928], [[[1, 6], [2, 4], [3, 3], [4, 2], [5, 1]], 28151/238878720], [[[1, 6], [2, 4], [3, 3], [4, 2], [6, 2]], 20525/47775744], [[[1, 6], [2, 4], [3, 3], [4, 2], [8, 1]], 93917/477757440], [[[1, 6], [2, 4], [3, 3], [4, 2], [10, 1]], 803/29859840], [[[1, 6], [2, 4], [3, 3], [4, 2], [12, 1]], 14503/143327232], [[[1, 6], [2, 4], [3, 3], [4, 3], [6, 1]], 10127/71663616], [[[1, 6], [2, 4], [3, 3], [5, 1], [6, 2]], 36749/71663616], [[[1, 6], [2, 4], [3, 3], [5, 1], [8, 1]], 1841/49766400], [[[1, 6], [2, 4], [3, 3], [5, 1], [10, 1]], 32401/398131200], [[[1, 6], [2, 4], [3, 3], [5, 1], [12, 1]], 137/6635520], [[[1, 6], [2, 4], [3, 3], [6, 1], [7, 1]], 20929/78382080], [[[1, 6], [2, 4], [3, 3], [6, 1], [9, 1]], 237367/806215680], [[[1, 6], [2, 4], [3, 3], [6, 1], [14, 1]], 1/258048], [[[1, 6], [2, 4], [3, 3], [6, 1], [18, 1]], 1/373248], [[[1, 6], [2, 4], [3, 3], [6, 2], [8, 1]], 20891/71663616], [[[1, 6], [2, 4], [3, 3], [6, 2], [10, 1]], 1211/19906560], [[[1, 6], [2, 4], [3, 3], [6, 2], [12, 1]], 4543/79626240], [[[1, 6], [2, 4], [3, 3], [8, 1], [10, 1]], 1/103680], [[[1, 6], [2, 4], [3, 3], [8, 1], [12, 1]], 11/1990656], [[[1, 6], [2, 4], [3, 3], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 4], [3, 4], [4, 1], [5, 1]], 149/5598720], [[[1, 6], [2, 4], [3, 4], [4, 1], [6, 2]], 4267/13271040], [[[1, 6], [2, 4], [3, 4], [4, 1], [8, 1]], 8111/358318080], [[[1, 6], [2, 4], [3, 4], [4, 1], [10, 1]], 19/1399680], [[[1, 6], [2, 4], [3, 4], [4, 1], [12, 1]], 161/6718464], [[[1, 6], [2, 4], [3, 4], [4, 2], [6, 1]], 577039/4299816960], [[[1, 6], [2, 4], [3, 4], [5, 1], [6, 1]], 28859/268738560], [[[1, 6], [2, 4], [3, 4], [6, 1], [8, 1]], 25453/537477120], [[[1, 6], [2, 4], [3, 4], [6, 1], [10, 1]], 67/2488320], [[[1, 6], [2, 4], [3, 4], [6, 1], [12, 1]], 1961/53747712], [[[1, 6], [2, 4], [3, 5], [4, 1], [6, 1]], 7387/107495424], [[[1, 6], [2, 4], [4, 1], [5, 1], [8, 2]], 119/368640], [[[1, 6], [2, 4], [4, 1], [5, 1], [10, 2]], 1687/9216000], [[[1, 6], [2, 4], [4, 1], [5, 2], [6, 2]], 61/1382400], [[[1, 6], [2, 4], [4, 1], [5, 2], [8, 1]], 3071/7372800], [[[1, 6], [2, 4], [4, 1], [5, 2], [10, 1]], 6367/9216000], [[[1, 6], [2, 4], [4, 1], [5, 2], [12, 1]], 19/460800], [[[1, 6], [2, 4], [4, 1], [6, 1], [11, 1]], 173/1520640], [[[1, 6], [2, 4], [4, 1], [6, 1], [22, 1]], 19/1520640], [[[1, 6], [2, 4], [4, 1], [6, 2], [8, 2]], 23/884736], [[[1, 6], [2, 4], [4, 1], [6, 2], [10, 2]], 49/41472000], [[[1, 6], [2, 4], [4, 1], [6, 3], [7, 1]], 1/145152], [[[1, 6], [2, 4], [4, 1], [6, 3], [14, 1]], 587/418037760], [[[1, 6], [2, 4], [4, 1], [6, 3], [18, 1]], 337/44789760], [[[1, 6], [2, 4], [4, 1], [6, 4], [8, 1]], 883/716636160], [[[1, 6], [2, 4], [4, 1], [6, 4], [10, 1]], 1/3732480], [[[1, 6], [2, 4], [4, 1], [6, 4], [12, 1]], 1/3732480], [[[1, 6], [2, 4], [4, 1], [7, 1], [9, 1]], 3/35840], [[[1, 6], [2, 4], [4, 1], [8, 1], [10, 2]], 1153/36864000], [[[1, 6], [2, 4], [4, 1], [8, 2], [10, 1]], 7/81920], [[[1, 6], [2, 4], [4, 1], [10, 2], [12, 1]], 1/2764800], [[[1, 6], [2, 4], [4, 1], [14, 1], [18, 1]], 23/5806080], [[[1, 6], [2, 4], [4, 2], [5, 1], [6, 3]], 199/39813120], [[[1, 6], [2, 4], [4, 2], [5, 1], [7, 1]], 3113/6193152], [[[1, 6], [2, 4], [4, 2], [5, 1], [9, 1]], 347/3317760], [[[1, 6], [2, 4], [4, 2], [5, 1], [14, 1]], 19/1290240], [[[1, 6], [2, 4], [4, 2], [5, 1], [18, 1]], 7/552960], [[[1, 6], [2, 4], [4, 2], [5, 2], [6, 1]], 179/1105920], [[[1, 6], [2, 4], [4, 2], [6, 1], [8, 2]], 61/368640], [[[1, 6], [2, 4], [4, 2], [6, 1], [10, 2]], 41/9216000], [[[1, 6], [2, 4], [4, 2], [6, 1], [12, 2]], 1/442368], [[[1, 6], [2, 4], [4, 2], [6, 2], [7, 1]], 7/184320], [[[1, 6], [2, 4], [4, 2], [6, 2], [9, 1]], 1/995328], [[[1, 6], [2, 4], [4, 2], [6, 2], [14, 1]], 61/46448640], [[[1, 6], [2, 4], [4, 2], [6, 2], [18, 1]], 1193/119439360], [[[1, 6], [2, 4], [4, 2], [6, 3], [8, 1]], 559/53084160], [[[1, 6], [2, 4], [4, 2], [6, 3], [10, 1]], 883/1194393600], [[[1, 6], [2, 4], [4, 2], [6, 3], [12, 1]], 289/238878720], [[[1, 6], [2, 4], [4, 2], [7, 1], [8, 1]], 689/1548288], [[[1, 6], [2, 4], [4, 2], [7, 1], [10, 1]], 113/1612800], [[[1, 6], [2, 4], [4, 2], [7, 1], [12, 1]], 121/1935360], [[[1, 6], [2, 4], [4, 2], [8, 1], [9, 1]], 637/6635520], [[[1, 6], [2, 4], [4, 2], [8, 1], [14, 1]], 1/32256], [[[1, 6], [2, 4], [4, 2], [8, 1], [18, 1]], 31/737280], [[[1, 6], [2, 4], [4, 2], [9, 1], [10, 1]], 1/138240], [[[1, 6], [2, 4], [4, 2], [9, 1], [12, 1]], 1/165888], [[[1, 6], [2, 4], [4, 2], [10, 1], [14, 1]], 2483/154828800], [[[1, 6], [2, 4], [4, 2], [10, 1], [18, 1]], 151/16588800], [[[1, 6], [2, 4], [4, 2], [12, 1], [14, 1]], 1/110592], [[[1, 6], [2, 4], [4, 2], [12, 1], [18, 1]], 1/331776], [[[1, 6], [2, 4], [4, 3], [5, 1], [6, 2]], 29/1105920], [[[1, 6], [2, 4], [4, 3], [5, 1], [8, 1]], 3593/8847360], [[[1, 6], [2, 4], [4, 3], [5, 1], [10, 1]], 3221/14745600], [[[1, 6], [2, 4], [4, 3], [5, 1], [12, 1]], 13/138240], [[[1, 6], [2, 4], [4, 3], [6, 1], [7, 1]], 47/290304], [[[1, 6], [2, 4], [4, 3], [6, 1], [9, 1]], 1/165888], [[[1, 6], [2, 4], [4, 3], [6, 1], [14, 1]], 409/92897280], [[[1, 6], [2, 4], [4, 3], [6, 1], [18, 1]], 529/39813120], [[[1, 6], [2, 4], [4, 3], [6, 2], [8, 1]], 1355/31850496], [[[1, 6], [2, 4], [4, 3], [6, 2], [10, 1]], 1/1105920], [[[1, 6], [2, 4], [4, 3], [6, 2], [12, 1]], 13/1327104], [[[1, 6], [2, 4], [4, 3], [8, 1], [10, 1]], 257/1638400], [[[1, 6], [2, 4], [4, 3], [8, 1], [12, 1]], 83/552960], [[[1, 6], [2, 4], [4, 3], [10, 1], [12, 1]], 1/36864], [[[1, 6], [2, 4], [4, 4], [5, 1], [6, 1]], 7/207360], [[[1, 6], [2, 4], [4, 4], [6, 1], [8, 1]], 2437/26542080], [[[1, 6], [2, 4], [4, 4], [6, 1], [10, 1]], 49/8294400], [[[1, 6], [2, 4], [4, 4], [6, 1], [12, 1]], 13/589824], [[[1, 6], [2, 4], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 6], [2, 4], [5, 1], [6, 1], [10, 2]], 13/230400], [[[1, 6], [2, 4], [5, 1], [6, 2], [7, 1]], 67/2903040], [[[1, 6], [2, 4], [5, 1], [6, 2], [9, 1]], 1/311040], [[[1, 6], [2, 4], [5, 1], [6, 2], [18, 1]], 1/1244160], [[[1, 6], [2, 4], [5, 1], [6, 3], [10, 1]], 1963/238878720], [[[1, 6], [2, 4], [5, 1], [7, 1], [8, 1]], 1811/9676800], [[[1, 6], [2, 4], [5, 1], [7, 1], [10, 1]], 3/22400], [[[1, 6], [2, 4], [5, 1], [8, 1], [9, 1]], 23/2073600], [[[1, 6], [2, 4], [5, 1], [9, 1], [10, 1]], 29/1105920], [[[1, 6], [2, 4], [5, 1], [10, 1], [14, 1]], 1/268800], [[[1, 6], [2, 4], [5, 1], [10, 1], [18, 1]], 43/3317760], [[[1, 6], [2, 4], [5, 2], [6, 1], [8, 1]], 13/307200], [[[1, 6], [2, 4], [5, 2], [6, 1], [10, 1]], 13/72000], [[[1, 6], [2, 4], [6, 1], [7, 1], [9, 1]], 19/1088640], [[[1, 6], [2, 4], [6, 1], [8, 1], [10, 2]], 7/1843200], [[[1, 6], [2, 4], [6, 1], [8, 2], [10, 1]], 1/368640], [[[1, 6], [2, 4], [6, 1], [10, 2], [12, 1]], 31/110592000], [[[1, 6], [2, 4], [6, 1], [14, 1], [18, 1]], 61/34836480], [[[1, 6], [2, 4], [6, 2], [7, 1], [8, 1]], 5/290304], [[[1, 6], [2, 4], [6, 2], [8, 1], [14, 1]], 1/193536], [[[1, 6], [2, 4], [6, 2], [8, 1], [18, 1]], 37/2985984], [[[1, 6], [2, 4], [6, 2], [10, 1], [14, 1]], 631/348364800], [[[1, 6], [2, 4], [6, 2], [10, 1], [18, 1]], 167/37324800], [[[1, 6], [2, 4], [6, 2], [12, 1], [14, 1]], 61/46448640], [[[1, 6], [2, 4], [6, 2], [12, 1], [18, 1]], 91/59719680], [[[1, 6], [2, 4], [6, 3], [8, 1], [10, 1]], 37/59719680], [[[1, 6], [2, 4], [6, 3], [8, 1], [12, 1]], 1/3981312], [[[1, 6], [2, 4], [6, 3], [10, 1], [12, 1]], 31/99532800], [[[1, 6], [2, 4], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 6], [2, 4], [8, 1], [10, 1], [14, 1]], 1/143360], [[[1, 6], [2, 4], [8, 1], [10, 1], [18, 1]], 1/829440], [[[1, 6], [2, 6], [3, 1], [4, 1], [5, 2]], 6871/82944000], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 4]], 452671/7166361600], [[[1, 6], [2, 6], [3, 1], [4, 1], [8, 2]], 1007/5308416], [[[1, 6], [2, 6], [3, 1], [4, 1], [10, 2]], 391/5529600], [[[1, 6], [2, 6], [3, 1], [4, 1], [12, 2]], 1/2211840], [[[1, 6], [2, 6], [3, 1], [4, 2], [6, 3]], 38977/159252480], [[[1, 6], [2, 6], [3, 1], [4, 2], [7, 1]], 20239/185794560], [[[1, 6], [2, 6], [3, 1], [4, 2], [9, 1]], 120481/1194393600], [[[1, 6], [2, 6], [3, 1], [4, 2], [14, 1]], 5687/51609600], [[[1, 6], [2, 6], [3, 1], [4, 2], [18, 1]], 113/7962624], [[[1, 6], [2, 6], [3, 1], [4, 3], [5, 1]], 19939/132710400], [[[1, 6], [2, 6], [3, 1], [4, 3], [6, 2]], 88321/212336640], [[[1, 6], [2, 6], [3, 1], [4, 3], [8, 1]], 9361/19906560], [[[1, 6], [2, 6], [3, 1], [4, 3], [10, 1]], 1069/6635520], [[[1, 6], [2, 6], [3, 1], [4, 3], [12, 1]], 9539/106168320], [[[1, 6], [2, 6], [3, 1], [4, 4], [6, 1]], 4163/15925248], [[[1, 6], [2, 6], [3, 1], [5, 1], [6, 3]], 79/1105920], [[[1, 6], [2, 6], [3, 1], [5, 1], [7, 1]], 12227/348364800], [[[1, 6], [2, 6], [3, 1], [5, 1], [9, 1]], 133/4665600], [[[1, 6], [2, 6], [3, 1], [5, 1], [14, 1]], 1/80640], [[[1, 6], [2, 6], [3, 1], [5, 2], [6, 1]], 2699/33177600], [[[1, 6], [2, 6], [3, 1], [6, 1], [8, 2]], 1/18432], [[[1, 6], [2, 6], [3, 1], [6, 1], [10, 2]], 2699/33177600], [[[1, 6], [2, 6], [3, 1], [6, 2], [7, 1]], 23693/464486400], [[[1, 6], [2, 6], [3, 1], [6, 2], [9, 1]], 35/995328], [[[1, 6], [2, 6], [3, 1], [6, 2], [14, 1]], 2533/34836480], [[[1, 6], [2, 6], [3, 1], [6, 2], [18, 1]], 257/2985984], [[[1, 6], [2, 6], [3, 1], [6, 3], [8, 1]], 5279/71663616], [[[1, 6], [2, 6], [3, 1], [6, 3], [10, 1]], 13583/179159040], [[[1, 6], [2, 6], [3, 1], [6, 3], [12, 1]], 19/1327104], [[[1, 6], [2, 6], [3, 1], [7, 1], [8, 1]], 5/129024], [[[1, 6], [2, 6], [3, 1], [7, 1], [10, 1]], 7/276480], [[[1, 6], [2, 6], [3, 1], [7, 1], [12, 1]], 799/232243200], [[[1, 6], [2, 6], [3, 1], [8, 1], [9, 1]], 41/1492992], [[[1, 6], [2, 6], [3, 1], [8, 1], [14, 1]], 179/4644864], [[[1, 6], [2, 6], [3, 1], [8, 1], [18, 1]], 1/3317760], [[[1, 6], [2, 6], [3, 1], [9, 1], [10, 1]], 43/2488320], [[[1, 6], [2, 6], [3, 1], [10, 1], [14, 1]], 29/829440], [[[1, 6], [2, 6], [3, 1], [10, 1], [18, 1]], 7/1244160], [[[1, 6], [2, 6], [3, 2], [4, 1], [6, 3]], 1835717/3583180800], [[[1, 6], [2, 6], [3, 2], [4, 1], [7, 1]], 16277/348364800], [[[1, 6], [2, 6], [3, 2], [4, 1], [9, 1]], 11909/149299200], [[[1, 6], [2, 6], [3, 2], [4, 1], [14, 1]], 53/1161216], [[[1, 6], [2, 6], [3, 2], [4, 1], [18, 1]], 1/497664], [[[1, 6], [2, 6], [3, 2], [4, 2], [5, 1]], 379/4915200], [[[1, 6], [2, 6], [3, 2], [4, 2], [6, 2]], 59273/66355200], [[[1, 6], [2, 6], [3, 2], [4, 2], [8, 1]], 3575/15925248], [[[1, 6], [2, 6], [3, 2], [4, 2], [10, 1]], 43/414720], [[[1, 6], [2, 6], [3, 2], [4, 2], [12, 1]], 40873/796262400], [[[1, 6], [2, 6], [3, 2], [4, 3], [6, 1]], 88321/212336640], [[[1, 6], [2, 6], [3, 2], [5, 1], [6, 2]], 23029/99532800], [[[1, 6], [2, 6], [3, 2], [5, 1], [8, 1]], 11/497664], [[[1, 6], [2, 6], [3, 2], [5, 1], [10, 1]], 7859/99532800], [[[1, 6], [2, 6], [3, 2], [5, 1], [12, 1]], 469/99532800], [[[1, 6], [2, 6], [3, 2], [6, 1], [7, 1]], 2533/34836480], [[[1, 6], [2, 6], [3, 2], [6, 1], [9, 1]], 257/2985984], [[[1, 6], [2, 6], [3, 2], [6, 1], [14, 1]], 23693/464486400], [[[1, 6], [2, 6], [3, 2], [6, 1], [18, 1]], 35/995328], [[[1, 6], [2, 6], [3, 2], [6, 2], [8, 1]], 2141/7962624], [[[1, 6], [2, 6], [3, 2], [6, 2], [10, 1]], 23029/99532800], [[[1, 6], [2, 6], [3, 2], [6, 2], [12, 1]], 7/331776], [[[1, 6], [2, 6], [3, 2], [8, 1], [10, 1]], 1/103680], [[[1, 6], [2, 6], [3, 2], [8, 1], [12, 1]], 11/7962624], [[[1, 6], [2, 6], [3, 2], [10, 1], [12, 1]], 1/552960], [[[1, 6], [2, 6], [3, 3], [4, 1], [5, 1]], 52261/1990656000], [[[1, 6], [2, 6], [3, 3], [4, 1], [6, 2]], 1835717/3583180800], [[[1, 6], [2, 6], [3, 3], [4, 1], [8, 1]], 127823/2866544640], [[[1, 6], [2, 6], [3, 3], [4, 1], [10, 1]], 14623/597196800], [[[1, 6], [2, 6], [3, 3], [4, 1], [12, 1]], 7763/716636160], [[[1, 6], [2, 6], [3, 3], [4, 2], [6, 1]], 38977/159252480], [[[1, 6], [2, 6], [3, 3], [5, 1], [6, 1]], 13583/179159040], [[[1, 6], [2, 6], [3, 3], [6, 1], [8, 1]], 5279/71663616], [[[1, 6], [2, 6], [3, 3], [6, 1], [10, 1]], 79/1105920], [[[1, 6], [2, 6], [3, 3], [6, 1], [12, 1]], 19/1327104], [[[1, 6], [2, 6], [3, 4], [4, 1], [6, 1]], 452671/7166361600], [[[1, 6], [2, 6], [4, 1], [5, 1], [6, 3]], 14623/597196800], [[[1, 6], [2, 6], [4, 1], [5, 1], [7, 1]], 30221/387072000], [[[1, 6], [2, 6], [4, 1], [5, 1], [9, 1]], 1463/82944000], [[[1, 6], [2, 6], [4, 1], [5, 1], [14, 1]], 5/110592], [[[1, 6], [2, 6], [4, 1], [5, 1], [18, 1]], 7/921600], [[[1, 6], [2, 6], [4, 1], [5, 2], [6, 1]], 391/5529600], [[[1, 6], [2, 6], [4, 1], [6, 1], [8, 2]], 1007/5308416], [[[1, 6], [2, 6], [4, 1], [6, 1], [10, 2]], 6871/82944000], [[[1, 6], [2, 6], [4, 1], [6, 1], [12, 2]], 1/2211840], [[[1, 6], [2, 6], [4, 1], [6, 2], [7, 1]], 53/1161216], [[[1, 6], [2, 6], [4, 1], [6, 2], [9, 1]], 1/497664], [[[1, 6], [2, 6], [4, 1], [6, 2], [14, 1]], 16277/348364800], [[[1, 6], [2, 6], [4, 1], [6, 2], [18, 1]], 11909/149299200], [[[1, 6], [2, 6], [4, 1], [6, 3], [8, 1]], 127823/2866544640], [[[1, 6], [2, 6], [4, 1], [6, 3], [10, 1]], 52261/1990656000], [[[1, 6], [2, 6], [4, 1], [6, 3], [12, 1]], 7763/716636160], [[[1, 6], [2, 6], [4, 1], [7, 1], [8, 1]], 1967/22118400], [[[1, 6], [2, 6], [4, 1], [7, 1], [10, 1]], 5/110592], [[[1, 6], [2, 6], [4, 1], [7, 1], [12, 1]], 19/2322432], [[[1, 6], [2, 6], [4, 1], [8, 1], [9, 1]], 71/4423680], [[[1, 6], [2, 6], [4, 1], [8, 1], [14, 1]], 1967/22118400], [[[1, 6], [2, 6], [4, 1], [8, 1], [18, 1]], 71/4423680], [[[1, 6], [2, 6], [4, 1], [9, 1], [10, 1]], 7/921600], [[[1, 6], [2, 6], [4, 1], [9, 1], [12, 1]], 1/1658880], [[[1, 6], [2, 6], [4, 1], [10, 1], [14, 1]], 30221/387072000], [[[1, 6], [2, 6], [4, 1], [10, 1], [18, 1]], 1463/82944000], [[[1, 6], [2, 6], [4, 1], [12, 1], [14, 1]], 19/2322432], [[[1, 6], [2, 6], [4, 1], [12, 1], [18, 1]], 1/1658880], [[[1, 6], [2, 6], [4, 2], [5, 1], [6, 2]], 43/414720], [[[1, 6], [2, 6], [4, 2], [5, 1], [8, 1]], 2333/5529600], [[[1, 6], [2, 6], [4, 2], [5, 1], [10, 1]], 7163/14745600], [[[1, 6], [2, 6], [4, 2], [5, 1], [12, 1]], 31/829440], [[[1, 6], [2, 6], [4, 2], [6, 1], [7, 1]], 5687/51609600], [[[1, 6], [2, 6], [4, 2], [6, 1], [9, 1]], 113/7962624], [[[1, 6], [2, 6], [4, 2], [6, 1], [14, 1]], 20239/185794560], [[[1, 6], [2, 6], [4, 2], [6, 1], [18, 1]], 120481/1194393600], [[[1, 6], [2, 6], [4, 2], [6, 2], [8, 1]], 3575/15925248], [[[1, 6], [2, 6], [4, 2], [6, 2], [10, 1]], 379/4915200], [[[1, 6], [2, 6], [4, 2], [6, 2], [12, 1]], 40873/796262400], [[[1, 6], [2, 6], [4, 2], [8, 1], [10, 1]], 2333/5529600], [[[1, 6], [2, 6], [4, 2], [8, 1], [12, 1]], 163/2654208], [[[1, 6], [2, 6], [4, 2], [10, 1], [12, 1]], 31/829440], [[[1, 6], [2, 6], [4, 3], [5, 1], [6, 1]], 1069/6635520], [[[1, 6], [2, 6], [4, 3], [6, 1], [8, 1]], 9361/19906560], [[[1, 6], [2, 6], [4, 3], [6, 1], [10, 1]], 19939/132710400], [[[1, 6], [2, 6], [4, 3], [6, 1], [12, 1]], 9539/106168320], [[[1, 6], [2, 6], [5, 1], [6, 1], [7, 1]], 29/829440], [[[1, 6], [2, 6], [5, 1], [6, 1], [9, 1]], 7/1244160], [[[1, 6], [2, 6], [5, 1], [6, 1], [14, 1]], 7/276480], [[[1, 6], [2, 6], [5, 1], [6, 1], [18, 1]], 43/2488320], [[[1, 6], [2, 6], [5, 1], [6, 2], [8, 1]], 1/103680], [[[1, 6], [2, 6], [5, 1], [6, 2], [10, 1]], 7859/99532800], [[[1, 6], [2, 6], [5, 1], [6, 2], [12, 1]], 1/552960], [[[1, 6], [2, 6], [5, 1], [8, 1], [10, 1]], 61/552960], [[[1, 6], [2, 6], [6, 1], [7, 1], [8, 1]], 179/4644864], [[[1, 6], [2, 6], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 6], [2, 6], [6, 1], [8, 1], [9, 1]], 1/3317760], [[[1, 6], [2, 6], [6, 1], [8, 1], [14, 1]], 5/129024], [[[1, 6], [2, 6], [6, 1], [8, 1], [18, 1]], 41/1492992], [[[1, 6], [2, 6], [6, 1], [10, 1], [14, 1]], 12227/348364800], [[[1, 6], [2, 6], [6, 1], [10, 1], [18, 1]], 133/4665600], [[[1, 6], [2, 6], [6, 1], [12, 1], [14, 1]], 799/232243200], [[[1, 6], [2, 6], [6, 2], [8, 1], [10, 1]], 11/497664], [[[1, 6], [2, 6], [6, 2], [8, 1], [12, 1]], 11/7962624], [[[1, 6], [2, 6], [6, 2], [10, 1], [12, 1]], 469/99532800], [[[1, 6], [2, 8], [3, 1], [4, 1], [6, 3]], 10286977/42998169600], [[[1, 6], [2, 8], [3, 1], [4, 1], [7, 1]], 943/185794560], [[[1, 6], [2, 8], [3, 1], [4, 1], [9, 1]], 383/79626240], [[[1, 6], [2, 8], [3, 1], [4, 1], [14, 1]], 461/9289728], [[[1, 6], [2, 8], [3, 1], [4, 1], [18, 1]], 1/442368], [[[1, 6], [2, 8], [3, 1], [4, 2], [5, 1]], 1717/88473600], [[[1, 6], [2, 8], [3, 1], [4, 2], [6, 2]], 3660893/8493465600], [[[1, 6], [2, 8], [3, 1], [4, 2], [8, 1]], 52481/477757440], [[[1, 6], [2, 8], [3, 1], [4, 2], [10, 1]], 121619/1161216000], [[[1, 6], [2, 8], [3, 1], [4, 2], [12, 1]], 59/10485760], [[[1, 6], [2, 8], [3, 1], [4, 3], [6, 1]], 74279/265420800], [[[1, 6], [2, 8], [3, 1], [5, 1], [6, 2]], 52981/1592524800], [[[1, 6], [2, 8], [3, 1], [5, 1], [8, 1]], 109/66355200], [[[1, 6], [2, 8], [3, 1], [5, 1], [10, 1]], 12049/597196800], [[[1, 6], [2, 8], [3, 1], [5, 1], [12, 1]], 37/265420800], [[[1, 6], [2, 8], [3, 1], [6, 1], [7, 1]], 781/174182400], [[[1, 6], [2, 8], [3, 1], [6, 1], [9, 1]], 203/59719680], [[[1, 6], [2, 8], [3, 1], [6, 1], [14, 1]], 15163/278691840], [[[1, 6], [2, 8], [3, 1], [6, 1], [18, 1]], 5729/358318080], [[[1, 6], [2, 8], [3, 1], [6, 2], [8, 1]], 469583/6688604160], [[[1, 6], [2, 8], [3, 1], [6, 2], [10, 1]], 1200217/8360755200], [[[1, 6], [2, 8], [3, 1], [6, 2], [12, 1]], 677/159252480], [[[1, 6], [2, 8], [3, 1], [8, 1], [10, 1]], 37/3317760], [[[1, 6], [2, 8], [3, 1], [8, 1], [12, 1]], 1/17694720], [[[1, 6], [2, 8], [3, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 6], [2, 8], [3, 2], [4, 1], [5, 1]], 773/199065600], [[[1, 6], [2, 8], [3, 2], [4, 1], [6, 2]], 551953/1791590400], [[[1, 6], [2, 8], [3, 2], [4, 1], [8, 1]], 2617/159252480], [[[1, 6], [2, 8], [3, 2], [4, 1], [10, 1]], 887/49766400], [[[1, 6], [2, 8], [3, 2], [4, 1], [12, 1]], 199/238878720], [[[1, 6], [2, 8], [3, 2], [4, 2], [6, 1]], 8209/47775744], [[[1, 6], [2, 8], [3, 2], [5, 1], [6, 1]], 14173/1194393600], [[[1, 6], [2, 8], [3, 2], [6, 1], [8, 1]], 23173/955514880], [[[1, 6], [2, 8], [3, 2], [6, 1], [10, 1]], 404539/6967296000], [[[1, 6], [2, 8], [3, 2], [6, 1], [12, 1]], 43/39813120], [[[1, 6], [2, 8], [3, 3], [4, 1], [6, 1]], 48583/1433272320], [[[1, 6], [2, 8], [4, 1], [5, 1], [6, 2]], 787/24883200], [[[1, 6], [2, 8], [4, 1], [5, 1], [8, 1]], 3271/132710400], [[[1, 6], [2, 8], [4, 1], [5, 1], [10, 1]], 225569/2654208000], [[[1, 6], [2, 8], [4, 1], [5, 1], [12, 1]], 1/4147200], [[[1, 6], [2, 8], [4, 1], [6, 1], [7, 1]], 359/46448640], [[[1, 6], [2, 8], [4, 1], [6, 1], [9, 1]], 1/737280], [[[1, 6], [2, 8], [4, 1], [6, 1], [14, 1]], 1681877/16721510400], [[[1, 6], [2, 8], [4, 1], [6, 1], [18, 1]], 428023/10032906240], [[[1, 6], [2, 8], [4, 1], [6, 2], [8, 1]], 479653/4777574400], [[[1, 6], [2, 8], [4, 1], [6, 2], [10, 1]], 929051/6967296000], [[[1, 6], [2, 8], [4, 1], [6, 2], [12, 1]], 112019/8360755200], [[[1, 6], [2, 8], [4, 1], [8, 1], [10, 1]], 937663/9289728000], [[[1, 6], [2, 8], [4, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 6], [2, 8], [4, 1], [10, 1], [12, 1]], 31/8294400], [[[1, 6], [2, 8], [4, 2], [5, 1], [6, 1]], 1951/33177600], [[[1, 6], [2, 8], [4, 2], [6, 1], [8, 1]], 431923/1592524800], [[[1, 6], [2, 8], [4, 2], [6, 1], [10, 1]], 6046871/23887872000], [[[1, 6], [2, 8], [4, 2], [6, 1], [12, 1]], 1819/77414400], [[[1, 6], [2, 8], [5, 1], [6, 1], [8, 1]], 41/8294400], [[[1, 6], [2, 8], [5, 1], [6, 1], [10, 1]], 60293/1194393600], [[[1, 6], [2, 8], [5, 1], [6, 1], [12, 1]], 1/4423680], [[[1, 6], [2, 8], [6, 1], [8, 1], [10, 1]], 6523/199065600], [[[1, 6], [2, 8], [6, 1], [8, 1], [12, 1]], 37/159252480], [[[1, 6], [2, 8], [6, 1], [10, 1], [12, 1]], 6287/3483648000], [[[1, 6], [2, 10], [3, 1], [4, 1], [5, 1]], 283/796262400], [[[1, 6], [2, 10], [3, 1], [4, 1], [6, 2]], 7743487/89181388800], [[[1, 6], [2, 10], [3, 1], [4, 1], [8, 1]], 51559/13377208320], [[[1, 6], [2, 10], [3, 1], [4, 1], [10, 1]], 5597/398131200], [[[1, 6], [2, 10], [3, 1], [4, 1], [12, 1]], 1081/19110297600], [[[1, 6], [2, 10], [3, 1], [4, 2], [6, 1]], 5747431/89181388800], [[[1, 6], [2, 10], [3, 1], [5, 1], [6, 1]], 41561/33443020800], [[[1, 6], [2, 10], [3, 1], [6, 1], [8, 1]], 1103687/200658124800], [[[1, 6], [2, 10], [3, 1], [6, 1], [10, 1]], 256561/10032906240], [[[1, 6], [2, 10], [3, 1], [6, 1], [12, 1]], 11/247726080], [[[1, 6], [2, 10], [3, 2], [4, 1], [6, 1]], 9622253/668860416000], [[[1, 6], [2, 10], [4, 1], [5, 1], [6, 1]], 26533/5573836800], [[[1, 6], [2, 10], [4, 1], [6, 1], [8, 1]], 10357903/401316249600], [[[1, 6], [2, 10], [4, 1], [6, 1], [10, 1]], 698543/10450944000], [[[1, 6], [2, 10], [4, 1], [6, 1], [12, 1]], 421619/334430208000], [[[1, 6], [2, 12], [3, 1], [4, 1], [6, 1]], 7671551/1765791498240], [[[1, 6], [3, 1], [4, 1], [8, 1], [11, 1]], 1/152064], [[[1, 6], [3, 1], [4, 2], [5, 2], [6, 2]], 1/11059200], [[[1, 6], [3, 1], [4, 2], [5, 2], [12, 1]], 1/1843200], [[[1, 6], [3, 1], [4, 2], [6, 2], [12, 2]], 1/2211840], [[[1, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/119439360], [[[1, 6], [3, 1], [4, 2], [7, 1], [9, 1]], 47/2903040], [[[1, 6], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 6], [3, 1], [4, 3], [8, 1], [9, 1]], 1/331776], [[[1, 6], [3, 1], [5, 1], [7, 1], [9, 1]], 137/725760], [[[1, 6], [3, 2], [4, 1], [5, 2], [8, 1]], 13/691200], [[[1, 6], [3, 2], [4, 2], [5, 1], [7, 1]], 137/5806080], [[[1, 6], [3, 2], [4, 2], [5, 1], [9, 1]], 1/51840], [[[1, 6], [3, 2], [4, 2], [6, 2], [7, 1]], 1/3317760], [[[1, 6], [3, 2], [4, 2], [6, 2], [9, 1]], 1/5971968], [[[1, 6], [3, 2], [4, 2], [7, 1], [12, 1]], 1/552960], [[[1, 6], [3, 2], [4, 2], [9, 1], [12, 1]], 1/995328], [[[1, 6], [3, 2], [4, 3], [5, 1], [8, 1]], 1/552960], [[[1, 6], [3, 2], [5, 1], [6, 2], [7, 1]], 41/5806080], [[[1, 6], [3, 2], [5, 1], [6, 2], [9, 1]], 1/311040], [[[1, 6], [3, 2], [5, 1], [7, 1], [12, 1]], 41/967680], [[[1, 6], [3, 2], [5, 1], [9, 1], [12, 1]], 1/51840], [[[1, 6], [3, 3], [4, 1], [7, 1], [8, 1]], 121/34836480], [[[1, 6], [3, 3], [4, 1], [8, 1], [9, 1]], 1/139968], [[[1, 6], [3, 3], [4, 2], [5, 1], [6, 2]], 1/3317760], [[[1, 6], [3, 3], [4, 2], [5, 1], [12, 1]], 1/552960], [[[1, 6], [3, 3], [4, 2], [6, 2], [12, 1]], 161/13271040], [[[1, 6], [3, 4], [4, 1], [5, 1], [8, 1]], 37/14929920], [[[1, 6], [3, 4], [4, 1], [6, 2], [8, 1]], 1/4478976], [[[1, 6], [3, 4], [4, 1], [8, 1], [12, 1]], 1/746496], [[[1, 6], [4, 1], [7, 1], [8, 1], [9, 1]], 1/483840], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 3]], 1/19200], [[[1, 7], [2, 1], [3, 1], [4, 1], [7, 2]], 11/169344], [[[1, 7], [2, 1], [3, 1], [4, 1], [9, 2]], 1/165888], [[[1, 7], [2, 1], [3, 1], [4, 2], [11, 1]], 13/1520640], [[[1, 7], [2, 1], [3, 1], [4, 3], [5, 2]], 107/8294400], [[[1, 7], [2, 1], [3, 1], [4, 4], [7, 1]], 11/6193152], [[[1, 7], [2, 1], [3, 1], [4, 4], [9, 1]], 1/884736], [[[1, 7], [2, 1], [3, 1], [4, 5], [5, 1]], 1/1658880], [[[1, 7], [2, 1], [3, 1], [4, 5], [8, 1]], 1/1769472], [[[1, 7], [2, 1], [3, 1], [5, 1], [11, 1]], 71/760320], [[[1, 7], [2, 1], [3, 1], [5, 2], [7, 1]], 751/2419200], [[[1, 7], [2, 1], [3, 1], [5, 2], [9, 1]], 73/414720], [[[1, 7], [2, 1], [3, 1], [5, 3], [6, 1]], 3/32000], [[[1, 7], [2, 1], [3, 1], [6, 1], [7, 2]], 1/141120], [[[1, 7], [2, 1], [3, 1], [6, 2], [11, 1]], 1/12165120], [[[1, 7], [2, 1], [3, 1], [8, 1], [11, 1]], 5/608256], [[[1, 7], [2, 1], [3, 1], [11, 1], [12, 1]], 1/2027520], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 5]], 1/716636160], [[[1, 7], [2, 1], [3, 2], [4, 1], [11, 1]], 43/1216512], [[[1, 7], [2, 1], [3, 2], [4, 2], [5, 2]], 7/331776], [[[1, 7], [2, 1], [3, 2], [4, 2], [8, 2]], 5/1327104], [[[1, 7], [2, 1], [3, 2], [4, 3], [7, 1]], 359/17418240], [[[1, 7], [2, 1], [3, 2], [4, 3], [9, 1]], 1285/107495424], [[[1, 7], [2, 1], [3, 2], [4, 4], [5, 1]], 1/737280], [[[1, 7], [2, 1], [3, 2], [4, 4], [8, 1]], 1/884736], [[[1, 7], [2, 1], [3, 2], [5, 2], [6, 2]], 77/16588800], [[[1, 7], [2, 1], [3, 2], [5, 2], [8, 1]], 49/1382400], [[[1, 7], [2, 1], [3, 2], [5, 2], [10, 1]], 7/172800], [[[1, 7], [2, 1], [3, 2], [5, 2], [12, 1]], 77/2764800], [[[1, 7], [2, 1], [3, 2], [6, 1], [11, 1]], 19/912384], [[[1, 7], [2, 1], [3, 2], [6, 3], [7, 1]], 1/1088640], [[[1, 7], [2, 1], [3, 2], [7, 1], [9, 1]], 131/1451520], [[[1, 7], [2, 1], [3, 3], [4, 1], [5, 2]], 10217/199065600], [[[1, 7], [2, 1], [3, 3], [4, 1], [8, 2]], 1/497664], [[[1, 7], [2, 1], [3, 3], [4, 1], [12, 2]], 1/3732480], [[[1, 7], [2, 1], [3, 3], [4, 2], [6, 3]], 1/9953280], [[[1, 7], [2, 1], [3, 3], [4, 2], [7, 1]], 107/10450944], [[[1, 7], [2, 1], [3, 3], [4, 2], [9, 1]], 53/3732480], [[[1, 7], [2, 1], [3, 3], [4, 3], [5, 1]], 71453/6270566400], [[[1, 7], [2, 1], [3, 3], [4, 3], [6, 2]], 41/358318080], [[[1, 7], [2, 1], [3, 3], [4, 3], [8, 1]], 961/191102976], [[[1, 7], [2, 1], [3, 3], [4, 3], [10, 1]], 1/3732480], [[[1, 7], [2, 1], [3, 3], [4, 3], [12, 1]], 203/179159040], [[[1, 7], [2, 1], [3, 3], [4, 4], [6, 1]], 1/1769472], [[[1, 7], [2, 1], [3, 3], [5, 1], [6, 3]], 17/4976640], [[[1, 7], [2, 1], [3, 3], [5, 1], [7, 1]], 43609/348364800], [[[1, 7], [2, 1], [3, 3], [5, 1], [9, 1]], 149/1119744], [[[1, 7], [2, 1], [3, 3], [5, 2], [6, 1]], 11/103680], [[[1, 7], [2, 1], [3, 3], [6, 2], [7, 1]], 29/6967296], [[[1, 7], [2, 1], [3, 3], [6, 2], [9, 1]], 17/9953280], [[[1, 7], [2, 1], [3, 3], [6, 3], [8, 1]], 23/22394880], [[[1, 7], [2, 1], [3, 3], [7, 1], [8, 1]], 2201/69672960], [[[1, 7], [2, 1], [3, 3], [7, 1], [12, 1]], 29/1161216], [[[1, 7], [2, 1], [3, 3], [8, 1], [9, 1]], 97/4478976], [[[1, 7], [2, 1], [3, 3], [9, 1], [12, 1]], 17/1658880], [[[1, 7], [2, 1], [3, 4], [4, 1], [6, 3]], 4507/2149908480], [[[1, 7], [2, 1], [3, 4], [4, 1], [7, 1]], 2117/139345920], [[[1, 7], [2, 1], [3, 4], [4, 1], [9, 1]], 1037/35831808], [[[1, 7], [2, 1], [3, 4], [4, 2], [5, 1]], 11/1843200], [[[1, 7], [2, 1], [3, 4], [4, 2], [6, 2]], 1/5971968], [[[1, 7], [2, 1], [3, 4], [4, 2], [8, 1]], 121/59719680], [[[1, 7], [2, 1], [3, 4], [4, 2], [12, 1]], 1/995328], [[[1, 7], [2, 1], [3, 4], [4, 3], [6, 1]], 1/1990656], [[[1, 7], [2, 1], [3, 4], [5, 1], [6, 2]], 37/11197440], [[[1, 7], [2, 1], [3, 4], [5, 1], [8, 1]], 349/29859840], [[[1, 7], [2, 1], [3, 4], [5, 1], [10, 1]], 97/29859840], [[[1, 7], [2, 1], [3, 4], [5, 1], [12, 1]], 37/1866240], [[[1, 7], [2, 1], [3, 4], [6, 1], [7, 1]], 47/1224720], [[[1, 7], [2, 1], [3, 4], [6, 1], [9, 1]], 65/1679616], [[[1, 7], [2, 1], [3, 4], [6, 2], [8, 1]], 1/8957952], [[[1, 7], [2, 1], [3, 4], [8, 1], [12, 1]], 1/1492992], [[[1, 7], [2, 1], [3, 5], [4, 1], [5, 1]], 377/59719680], [[[1, 7], [2, 1], [3, 5], [4, 1], [6, 2]], 163/143327232], [[[1, 7], [2, 1], [3, 5], [4, 1], [8, 1]], 35/8957952], [[[1, 7], [2, 1], [3, 5], [4, 1], [10, 1]], 101/335923200], [[[1, 7], [2, 1], [3, 5], [4, 1], [12, 1]], 23621/3224862720], [[[1, 7], [2, 1], [3, 5], [4, 2], [6, 1]], 377/179159040], [[[1, 7], [2, 1], [3, 5], [5, 1], [6, 1]], 1049/44789760], [[[1, 7], [2, 1], [3, 5], [6, 1], [8, 1]], 101/403107840], [[[1, 7], [2, 1], [3, 5], [6, 1], [12, 1]], 83/8957952], [[[1, 7], [2, 1], [3, 6], [4, 1], [6, 1]], 5/15116544], [[[1, 7], [2, 1], [4, 1], [5, 1], [11, 1]], 7/112640], [[[1, 7], [2, 1], [4, 1], [5, 2], [7, 1]], 157/1075200], [[[1, 7], [2, 1], [4, 1], [5, 2], [9, 1]], 41/2764800], [[[1, 7], [2, 1], [4, 1], [5, 3], [6, 1]], 1/64000], [[[1, 7], [2, 1], [4, 1], [6, 1], [7, 2]], 1/141120], [[[1, 7], [2, 1], [4, 1], [7, 1], [8, 2]], 1/430080], [[[1, 7], [2, 1], [4, 1], [8, 1], [11, 1]], 1/1013760], [[[1, 7], [2, 1], [4, 1], [10, 1], [11, 1]], 1/22809600], [[[1, 7], [2, 1], [4, 1], [11, 1], [12, 1]], 1/13685760], [[[1, 7], [2, 1], [4, 2], [5, 1], [8, 2]], 1/122880], [[[1, 7], [2, 1], [4, 2], [5, 2], [8, 1]], 1/51200], [[[1, 7], [2, 1], [4, 2], [5, 2], [10, 1]], 1/102400], [[[1, 7], [2, 1], [4, 2], [7, 1], [9, 1]], 1/725760], [[[1, 7], [2, 1], [4, 3], [5, 1], [7, 1]], 10301/696729600], [[[1, 7], [2, 1], [4, 3], [5, 1], [9, 1]], 53/87091200], [[[1, 7], [2, 1], [4, 3], [5, 2], [6, 1]], 1/921600], [[[1, 7], [2, 1], [4, 3], [6, 3], [8, 1]], 1/318504960], [[[1, 7], [2, 1], [4, 3], [7, 1], [8, 1]], 1/172032], [[[1, 7], [2, 1], [4, 3], [7, 1], [10, 1]], 1/3225600], [[[1, 7], [2, 1], [4, 3], [7, 1], [12, 1]], 1/1935360], [[[1, 7], [2, 1], [4, 3], [8, 1], [9, 1]], 1/2654208], [[[1, 7], [2, 1], [4, 3], [8, 1], [18, 1]], 1/4423680], [[[1, 7], [2, 1], [4, 4], [5, 1], [8, 1]], 1/737280], [[[1, 7], [2, 1], [4, 4], [5, 1], [10, 1]], 1/2949120], [[[1, 7], [2, 1], [5, 1], [7, 1], [9, 1]], 43/1612800], [[[1, 7], [2, 1], [6, 1], [8, 1], [11, 1]], 1/27371520], [[[1, 7], [2, 1], [7, 1], [8, 1], [9, 1]], 1/967680], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 5]], 37/1074954240], [[[1, 7], [2, 3], [3, 1], [4, 1], [11, 1]], 11/82944], [[[1, 7], [2, 3], [3, 1], [4, 1], [22, 1]], 7/3041280], [[[1, 7], [2, 3], [3, 1], [4, 2], [5, 2]], 553/1843200], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 4]], 7/159252480], [[[1, 7], [2, 3], [3, 1], [4, 2], [8, 2]], 65/589824], [[[1, 7], [2, 3], [3, 1], [4, 2], [10, 2]], 11/18432000], [[[1, 7], [2, 3], [3, 1], [4, 2], [12, 2]], 1/1658880], [[[1, 7], [2, 3], [3, 1], [4, 3], [6, 3]], 19/143327232], [[[1, 7], [2, 3], [3, 1], [4, 3], [7, 1]], 211/1720320], [[[1, 7], [2, 3], [3, 1], [4, 3], [9, 1]], 343/6635520], [[[1, 7], [2, 3], [3, 1], [4, 3], [14, 1]], 11/5160960], [[[1, 7], [2, 3], [3, 1], [4, 3], [18, 1]], 11/3981312], [[[1, 7], [2, 3], [3, 1], [4, 4], [5, 1]], 1301/33177600], [[[1, 7], [2, 3], [3, 1], [4, 4], [6, 2]], 149/53084160], [[[1, 7], [2, 3], [3, 1], [4, 4], [8, 1]], 3449/53084160], [[[1, 7], [2, 3], [3, 1], [4, 4], [10, 1]], 7/2211840], [[[1, 7], [2, 3], [3, 1], [4, 4], [12, 1]], 103/26542080], [[[1, 7], [2, 3], [3, 1], [4, 5], [6, 1]], 239/53084160], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 4]], 1/12441600], [[[1, 7], [2, 3], [3, 1], [5, 1], [8, 2]], 1/46080], [[[1, 7], [2, 3], [3, 1], [5, 1], [10, 2]], 1/69120], [[[1, 7], [2, 3], [3, 1], [5, 2], [6, 2]], 97177/1990656000], [[[1, 7], [2, 3], [3, 1], [5, 2], [8, 1]], 1219/8294400], [[[1, 7], [2, 3], [3, 1], [5, 2], [10, 1]], 1637/6912000], [[[1, 7], [2, 3], [3, 1], [5, 2], [12, 1]], 593/36864000], [[[1, 7], [2, 3], [3, 1], [6, 1], [11, 1]], 1747/36495360], [[[1, 7], [2, 3], [3, 1], [6, 1], [22, 1]], 1/1105920], [[[1, 7], [2, 3], [3, 1], [6, 2], [8, 2]], 1/1658880], [[[1, 7], [2, 3], [3, 1], [6, 2], [10, 2]], 1/8294400], [[[1, 7], [2, 3], [3, 1], [6, 3], [7, 1]], 1/870912], [[[1, 7], [2, 3], [3, 1], [6, 3], [9, 1]], 1/5598720], [[[1, 7], [2, 3], [3, 1], [6, 3], [14, 1]], 1/3483648], [[[1, 7], [2, 3], [3, 1], [6, 3], [18, 1]], 47/44789760], [[[1, 7], [2, 3], [3, 1], [6, 4], [8, 1]], 1/71663616], [[[1, 7], [2, 3], [3, 1], [6, 4], [10, 1]], 1/1791590400], [[[1, 7], [2, 3], [3, 1], [6, 4], [12, 1]], 1/119439360], [[[1, 7], [2, 3], [3, 1], [7, 1], [9, 1]], 2507/34836480], [[[1, 7], [2, 3], [3, 2], [4, 1], [5, 2]], 1129/3686400], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 4]], 53/39813120], [[[1, 7], [2, 3], [3, 2], [4, 1], [8, 2]], 223/2654208], [[[1, 7], [2, 3], [3, 2], [4, 1], [12, 2]], 1/829440], [[[1, 7], [2, 3], [3, 2], [4, 2], [6, 3]], 2821/238878720], [[[1, 7], [2, 3], [3, 2], [4, 2], [7, 1]], 11017/46448640], [[[1, 7], [2, 3], [3, 2], [4, 2], [9, 1]], 11/51840], [[[1, 7], [2, 3], [3, 2], [4, 3], [5, 1]], 11623/99532800], [[[1, 7], [2, 3], [3, 2], [4, 3], [6, 2]], 3593/89579520], [[[1, 7], [2, 3], [3, 2], [4, 3], [8, 1]], 431/3538944], [[[1, 7], [2, 3], [3, 2], [4, 3], [10, 1]], 1/103680], [[[1, 7], [2, 3], [3, 2], [4, 3], [12, 1]], 937/39813120], [[[1, 7], [2, 3], [3, 2], [4, 4], [6, 1]], 9119/318504960], [[[1, 7], [2, 3], [3, 2], [5, 1], [6, 3]], 9469/597196800], [[[1, 7], [2, 3], [3, 2], [5, 1], [7, 1]], 3779/12902400], [[[1, 7], [2, 3], [3, 2], [5, 1], [9, 1]], 6271/24883200], [[[1, 7], [2, 3], [3, 2], [5, 2], [6, 1]], 11957/24883200], [[[1, 7], [2, 3], [3, 2], [6, 1], [8, 2]], 1/82944], [[[1, 7], [2, 3], [3, 2], [6, 1], [10, 2]], 107/221184000], [[[1, 7], [2, 3], [3, 2], [6, 2], [7, 1]], 105617/836075520], [[[1, 7], [2, 3], [3, 2], [6, 2], [9, 1]], 5959/119439360], [[[1, 7], [2, 3], [3, 2], [6, 2], [14, 1]], 107/92897280], [[[1, 7], [2, 3], [3, 2], [6, 2], [18, 1]], 127/39813120], [[[1, 7], [2, 3], [3, 2], [6, 3], [8, 1]], 373/71663616], [[[1, 7], [2, 3], [3, 2], [6, 3], [10, 1]], 1/921600], [[[1, 7], [2, 3], [3, 2], [6, 3], [12, 1]], 61/119439360], [[[1, 7], [2, 3], [3, 2], [7, 1], [8, 1]], 127/1088640], [[[1, 7], [2, 3], [3, 2], [7, 1], [10, 1]], 83/3628800], [[[1, 7], [2, 3], [3, 2], [7, 1], [12, 1]], 1307/46448640], [[[1, 7], [2, 3], [3, 2], [8, 1], [9, 1]], 1273/13436928], [[[1, 7], [2, 3], [3, 2], [9, 1], [10, 1]], 1/43200], [[[1, 7], [2, 3], [3, 2], [9, 1], [12, 1]], 41/6635520], [[[1, 7], [2, 3], [3, 3], [4, 1], [6, 3]], 39311/537477120], [[[1, 7], [2, 3], [3, 3], [4, 1], [7, 1]], 11317/59719680], [[[1, 7], [2, 3], [3, 3], [4, 1], [9, 1]], 11653/53747712], [[[1, 7], [2, 3], [3, 3], [4, 2], [5, 1]], 180557/1194393600], [[[1, 7], [2, 3], [3, 3], [4, 2], [6, 2]], 90581/716636160], [[[1, 7], [2, 3], [3, 3], [4, 2], [8, 1]], 417719/2866544640], [[[1, 7], [2, 3], [3, 3], [4, 2], [10, 1]], 1873/149299200], [[[1, 7], [2, 3], [3, 3], [4, 2], [12, 1]], 45209/716636160], [[[1, 7], [2, 3], [3, 3], [4, 3], [6, 1]], 165113/2149908480], [[[1, 7], [2, 3], [3, 3], [5, 1], [6, 2]], 58313/149299200], [[[1, 7], [2, 3], [3, 3], [5, 1], [8, 1]], 172421/3135283200], [[[1, 7], [2, 3], [3, 3], [5, 1], [10, 1]], 123139/1990656000], [[[1, 7], [2, 3], [3, 3], [5, 1], [12, 1]], 49/1658880], [[[1, 7], [2, 3], [3, 3], [6, 1], [7, 1]], 8839/31352832], [[[1, 7], [2, 3], [3, 3], [6, 1], [9, 1]], 2087/8957952], [[[1, 7], [2, 3], [3, 3], [6, 2], [8, 1]], 80689/1074954240], [[[1, 7], [2, 3], [3, 3], [6, 2], [10, 1]], 881/199065600], [[[1, 7], [2, 3], [3, 3], [6, 2], [12, 1]], 1721/119439360], [[[1, 7], [2, 3], [3, 3], [8, 1], [10, 1]], 1/311040], [[[1, 7], [2, 3], [3, 3], [8, 1], [12, 1]], 113/29859840], [[[1, 7], [2, 3], [3, 3], [10, 1], [12, 1]], 1/414720], [[[1, 7], [2, 3], [3, 4], [4, 1], [5, 1]], 72679/895795200], [[[1, 7], [2, 3], [3, 4], [4, 1], [6, 2]], 153827/1074954240], [[[1, 7], [2, 3], [3, 4], [4, 1], [8, 1]], 9899/179159040], [[[1, 7], [2, 3], [3, 4], [4, 1], [10, 1]], 259/37324800], [[[1, 7], [2, 3], [3, 4], [4, 1], [12, 1]], 1651/44789760], [[[1, 7], [2, 3], [3, 4], [4, 2], [6, 1]], 2489/31850496], [[[1, 7], [2, 3], [3, 4], [5, 1], [6, 1]], 324223/1791590400], [[[1, 7], [2, 3], [3, 4], [6, 1], [8, 1]], 22921/358318080], [[[1, 7], [2, 3], [3, 4], [6, 1], [10, 1]], 601/111974400], [[[1, 7], [2, 3], [3, 4], [6, 1], [12, 1]], 4703/119439360], [[[1, 7], [2, 3], [3, 5], [4, 1], [6, 1]], 43655/644972544], [[[1, 7], [2, 3], [4, 1], [5, 1], [8, 2]], 29/245760], [[[1, 7], [2, 3], [4, 1], [5, 1], [10, 2]], 151/10368000], [[[1, 7], [2, 3], [4, 1], [5, 2], [6, 2]], 1/92160], [[[1, 7], [2, 3], [4, 1], [5, 2], [8, 1]], 259/819200], [[[1, 7], [2, 3], [4, 1], [5, 2], [10, 1]], 3241/11520000], [[[1, 7], [2, 3], [4, 1], [5, 2], [12, 1]], 161/6912000], [[[1, 7], [2, 3], [4, 1], [6, 1], [11, 1]], 113/5474304], [[[1, 7], [2, 3], [4, 1], [6, 1], [22, 1]], 1/1520640], [[[1, 7], [2, 3], [4, 1], [6, 2], [8, 2]], 1/884736], [[[1, 7], [2, 3], [4, 1], [6, 2], [10, 2]], 1/55296000], [[[1, 7], [2, 3], [4, 1], [6, 3], [7, 1]], 1/1451520], [[[1, 7], [2, 3], [4, 1], [6, 3], [14, 1]], 19/418037760], [[[1, 7], [2, 3], [4, 1], [6, 3], [18, 1]], 11/29859840], [[[1, 7], [2, 3], [4, 1], [6, 4], [8, 1]], 1/89579520], [[[1, 7], [2, 3], [4, 1], [6, 4], [10, 1]], 1/895795200], [[[1, 7], [2, 3], [4, 1], [7, 1], [9, 1]], 269/5806080], [[[1, 7], [2, 3], [4, 1], [8, 1], [10, 2]], 13/36864000], [[[1, 7], [2, 3], [4, 1], [8, 2], [10, 1]], 1/245760], [[[1, 7], [2, 3], [4, 1], [14, 1], [18, 1]], 1/5806080], [[[1, 7], [2, 3], [4, 2], [5, 1], [7, 1]], 9383/25804800], [[[1, 7], [2, 3], [4, 2], [5, 1], [9, 1]], 737/16588800], [[[1, 7], [2, 3], [4, 2], [5, 2], [6, 1]], 1093/11059200], [[[1, 7], [2, 3], [4, 2], [6, 1], [8, 2]], 1513/79626240], [[[1, 7], [2, 3], [4, 2], [6, 1], [10, 2]], 1/9216000], [[[1, 7], [2, 3], [4, 2], [6, 2], [7, 1]], 41/5806080], [[[1, 7], [2, 3], [4, 2], [6, 2], [14, 1]], 1/15482880], [[[1, 7], [2, 3], [4, 2], [6, 2], [18, 1]], 7/9953280], [[[1, 7], [2, 3], [4, 2], [6, 3], [8, 1]], 11/21233664], [[[1, 7], [2, 3], [4, 2], [6, 3], [10, 1]], 13/398131200], [[[1, 7], [2, 3], [4, 2], [6, 3], [12, 1]], 1/26542080], [[[1, 7], [2, 3], [4, 2], [7, 1], [8, 1]], 5101/30965760], [[[1, 7], [2, 3], [4, 2], [7, 1], [10, 1]], 1/67200], [[[1, 7], [2, 3], [4, 2], [7, 1], [12, 1]], 19/967680], [[[1, 7], [2, 3], [4, 2], [8, 1], [9, 1]], 37/1474560], [[[1, 7], [2, 3], [4, 2], [8, 1], [14, 1]], 13/10321920], [[[1, 7], [2, 3], [4, 2], [8, 1], [18, 1]], 7/1474560], [[[1, 7], [2, 3], [4, 2], [9, 1], [10, 1]], 1/2073600], [[[1, 7], [2, 3], [4, 2], [9, 1], [12, 1]], 1/1244160], [[[1, 7], [2, 3], [4, 2], [10, 1], [14, 1]], 19/25804800], [[[1, 7], [2, 3], [4, 2], [10, 1], [18, 1]], 1/5529600], [[[1, 7], [2, 3], [4, 3], [5, 1], [6, 2]], 7/1658880], [[[1, 7], [2, 3], [4, 3], [5, 1], [8, 1]], 1717/14745600], [[[1, 7], [2, 3], [4, 3], [5, 1], [10, 1]], 8593/199065600], [[[1, 7], [2, 3], [4, 3], [5, 1], [12, 1]], 1/55296], [[[1, 7], [2, 3], [4, 3], [6, 1], [7, 1]], 1511/46448640], [[[1, 7], [2, 3], [4, 3], [6, 1], [9, 1]], 1/1327104], [[[1, 7], [2, 3], [4, 3], [6, 1], [18, 1]], 1/4976640], [[[1, 7], [2, 3], [4, 3], [6, 2], [8, 1]], 211/53084160], [[[1, 7], [2, 3], [4, 3], [6, 2], [12, 1]], 1/6635520], [[[1, 7], [2, 3], [4, 3], [8, 1], [10, 1]], 1919/132710400], [[[1, 7], [2, 3], [4, 3], [8, 1], [12, 1]], 293/19906560], [[[1, 7], [2, 3], [4, 4], [5, 1], [6, 1]], 71/11059200], [[[1, 7], [2, 3], [4, 4], [6, 1], [8, 1]], 1/131072], [[[1, 7], [2, 3], [4, 4], [6, 1], [12, 1]], 1/3538944], [[[1, 7], [2, 3], [5, 1], [6, 1], [8, 2]], 1/460800], [[[1, 7], [2, 3], [5, 1], [6, 1], [10, 2]], 1/460800], [[[1, 7], [2, 3], [5, 1], [6, 2], [7, 1]], 67/7257600], [[[1, 7], [2, 3], [5, 1], [6, 2], [9, 1]], 1/1555200], [[[1, 7], [2, 3], [5, 1], [6, 3], [10, 1]], 751/1194393600], [[[1, 7], [2, 3], [5, 1], [7, 1], [8, 1]], 13247/87091200], [[[1, 7], [2, 3], [5, 1], [7, 1], [10, 1]], 73/1344000], [[[1, 7], [2, 3], [5, 1], [8, 1], [9, 1]], 221/43545600], [[[1, 7], [2, 3], [5, 1], [9, 1], [10, 1]], 179/27648000], [[[1, 7], [2, 3], [5, 1], [10, 1], [18, 1]], 31/16588800], [[[1, 7], [2, 3], [5, 2], [6, 1], [8, 1]], 221/13824000], [[[1, 7], [2, 3], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 7], [2, 3], [6, 1], [7, 1], [9, 1]], 1/272160], [[[1, 7], [2, 3], [6, 1], [10, 2], [12, 1]], 1/110592000], [[[1, 7], [2, 3], [6, 1], [14, 1], [18, 1]], 1/34836480], [[[1, 7], [2, 3], [6, 2], [7, 1], [8, 1]], 1/580608], [[[1, 7], [2, 3], [6, 2], [8, 1], [18, 1]], 1/7464960], [[[1, 7], [2, 3], [6, 2], [10, 1], [14, 1]], 1/116121600], [[[1, 7], [2, 3], [6, 2], [10, 1], [18, 1]], 1/24883200], [[[1, 7], [2, 3], [6, 2], [12, 1], [14, 1]], 1/46448640], [[[1, 7], [2, 3], [6, 2], [12, 1], [18, 1]], 1/19906560], [[[1, 7], [2, 3], [7, 1], [8, 1], [10, 1]], 1/268800], [[[1, 7], [2, 3], [8, 1], [10, 1], [14, 1]], 1/9676800], [[[1, 7], [2, 5], [3, 1], [4, 1], [5, 2]], 613/2304000], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 4]], 42961/4299816960], [[[1, 7], [2, 5], [3, 1], [4, 1], [8, 2]], 4273/26542080], [[[1, 7], [2, 5], [3, 1], [4, 1], [10, 2]], 47/4608000], [[[1, 7], [2, 5], [3, 1], [4, 1], [12, 2]], 1/2654208], [[[1, 7], [2, 5], [3, 1], [4, 2], [6, 3]], 2921/59719680], [[[1, 7], [2, 5], [3, 1], [4, 2], [7, 1]], 11197/37158912], [[[1, 7], [2, 5], [3, 1], [4, 2], [9, 1]], 4723/26542080], [[[1, 7], [2, 5], [3, 1], [4, 2], [14, 1]], 13/573440], [[[1, 7], [2, 5], [3, 1], [4, 2], [18, 1]], 11/1327104], [[[1, 7], [2, 5], [3, 1], [4, 3], [5, 1]], 114047/398131200], [[[1, 7], [2, 5], [3, 1], [4, 3], [6, 2]], 23015/127401984], [[[1, 7], [2, 5], [3, 1], [4, 3], [8, 1]], 24949/53084160], [[[1, 7], [2, 5], [3, 1], [4, 3], [10, 1]], 949/13271040], [[[1, 7], [2, 5], [3, 1], [4, 3], [12, 1]], 7579/106168320], [[[1, 7], [2, 5], [3, 1], [4, 4], [6, 1]], 51601/318504960], [[[1, 7], [2, 5], [3, 1], [5, 1], [6, 3]], 557/24883200], [[[1, 7], [2, 5], [3, 1], [5, 1], [7, 1]], 3503/29030400], [[[1, 7], [2, 5], [3, 1], [5, 1], [9, 1]], 527/8294400], [[[1, 7], [2, 5], [3, 1], [5, 2], [6, 1]], 96001/497664000], [[[1, 7], [2, 5], [3, 1], [6, 1], [8, 2]], 401/13271040], [[[1, 7], [2, 5], [3, 1], [6, 1], [10, 2]], 11/1036800], [[[1, 7], [2, 5], [3, 1], [6, 2], [7, 1]], 7283/92897280], [[[1, 7], [2, 5], [3, 1], [6, 2], [9, 1]], 137/7464960], [[[1, 7], [2, 5], [3, 1], [6, 2], [14, 1]], 29/3317760], [[[1, 7], [2, 5], [3, 1], [6, 2], [18, 1]], 91/5971968], [[[1, 7], [2, 5], [3, 1], [6, 3], [8, 1]], 9803/716636160], [[[1, 7], [2, 5], [3, 1], [6, 3], [10, 1]], 5701/895795200], [[[1, 7], [2, 5], [3, 1], [6, 3], [12, 1]], 7/2488320], [[[1, 7], [2, 5], [3, 1], [7, 1], [8, 1]], 3511/46448640], [[[1, 7], [2, 5], [3, 1], [7, 1], [10, 1]], 11/322560], [[[1, 7], [2, 5], [3, 1], [7, 1], [12, 1]], 53/9289728], [[[1, 7], [2, 5], [3, 1], [8, 1], [9, 1]], 223/6635520], [[[1, 7], [2, 5], [3, 1], [8, 1], [14, 1]], 17/3096576], [[[1, 7], [2, 5], [3, 1], [8, 1], [18, 1]], 1/19906560], [[[1, 7], [2, 5], [3, 1], [9, 1], [10, 1]], 19/1244160], [[[1, 7], [2, 5], [3, 1], [10, 1], [14, 1]], 1/241920], [[[1, 7], [2, 5], [3, 1], [10, 1], [18, 1]], 1/1244160], [[[1, 7], [2, 5], [3, 2], [4, 1], [6, 3]], 52463/238878720], [[[1, 7], [2, 5], [3, 2], [4, 1], [7, 1]], 32437/174182400], [[[1, 7], [2, 5], [3, 2], [4, 1], [9, 1]], 1985309/10749542400], [[[1, 7], [2, 5], [3, 2], [4, 1], [14, 1]], 13/1548288], [[[1, 7], [2, 5], [3, 2], [4, 1], [18, 1]], 1/1990656], [[[1, 7], [2, 5], [3, 2], [4, 2], [5, 1]], 1127/3981312], [[[1, 7], [2, 5], [3, 2], [4, 2], [6, 2]], 5023/7962624], [[[1, 7], [2, 5], [3, 2], [4, 2], [8, 1]], 10127/26542080], [[[1, 7], [2, 5], [3, 2], [4, 2], [10, 1]], 217/3317760], [[[1, 7], [2, 5], [3, 2], [4, 2], [12, 1]], 559/6635520], [[[1, 7], [2, 5], [3, 2], [4, 3], [6, 1]], 78275/191102976], [[[1, 7], [2, 5], [3, 2], [5, 1], [6, 2]], 3853/11943936], [[[1, 7], [2, 5], [3, 2], [5, 1], [8, 1]], 6431/99532800], [[[1, 7], [2, 5], [3, 2], [5, 1], [10, 1]], 2353/19906560], [[[1, 7], [2, 5], [3, 2], [5, 1], [12, 1]], 391/33177600], [[[1, 7], [2, 5], [3, 2], [6, 1], [7, 1]], 2941/14929920], [[[1, 7], [2, 5], [3, 2], [6, 1], [9, 1]], 941/7464960], [[[1, 7], [2, 5], [3, 2], [6, 1], [14, 1]], 901/92897280], [[[1, 7], [2, 5], [3, 2], [6, 1], [18, 1]], 1/110592], [[[1, 7], [2, 5], [3, 2], [6, 2], [8, 1]], 23071/143327232], [[[1, 7], [2, 5], [3, 2], [6, 2], [10, 1]], 283/5529600], [[[1, 7], [2, 5], [3, 2], [6, 2], [12, 1]], 97/9953280], [[[1, 7], [2, 5], [3, 2], [8, 1], [10, 1]], 1/92160], [[[1, 7], [2, 5], [3, 2], [8, 1], [12, 1]], 19/8847360], [[[1, 7], [2, 5], [3, 2], [10, 1], [12, 1]], 1/414720], [[[1, 7], [2, 5], [3, 3], [4, 1], [5, 1]], 3247567/31352832000], [[[1, 7], [2, 5], [3, 3], [4, 1], [6, 2]], 3138581/5374771200], [[[1, 7], [2, 5], [3, 3], [4, 1], [8, 1]], 494837/5733089280], [[[1, 7], [2, 5], [3, 3], [4, 1], [10, 1]], 21991/716636160], [[[1, 7], [2, 5], [3, 3], [4, 1], [12, 1]], 41339/1343692800], [[[1, 7], [2, 5], [3, 3], [4, 2], [6, 1]], 33097/79626240], [[[1, 7], [2, 5], [3, 3], [5, 1], [6, 1]], 197557/895795200], [[[1, 7], [2, 5], [3, 3], [6, 1], [8, 1]], 46633/429981696], [[[1, 7], [2, 5], [3, 3], [6, 1], [10, 1]], 1501/29859840], [[[1, 7], [2, 5], [3, 3], [6, 1], [12, 1]], 11/466560], [[[1, 7], [2, 5], [3, 4], [4, 1], [6, 1]], 792629/4299816960], [[[1, 7], [2, 5], [4, 1], [5, 1], [6, 3]], 4831/1194393600], [[[1, 7], [2, 5], [4, 1], [5, 1], [7, 1]], 3157961/13934592000], [[[1, 7], [2, 5], [4, 1], [5, 1], [9, 1]], 13987/435456000], [[[1, 7], [2, 5], [4, 1], [5, 1], [14, 1]], 1/172032], [[[1, 7], [2, 5], [4, 1], [5, 1], [18, 1]], 31/16588800], [[[1, 7], [2, 5], [4, 1], [5, 2], [6, 1]], 523/4608000], [[[1, 7], [2, 5], [4, 1], [6, 1], [8, 2]], 21/327680], [[[1, 7], [2, 5], [4, 1], [6, 1], [10, 2]], 31/5529600], [[[1, 7], [2, 5], [4, 1], [6, 1], [12, 2]], 1/13271040], [[[1, 7], [2, 5], [4, 1], [6, 2], [7, 1]], 73/2322432], [[[1, 7], [2, 5], [4, 1], [6, 2], [9, 1]], 1/995328], [[[1, 7], [2, 5], [4, 1], [6, 2], [14, 1]], 71/13934592], [[[1, 7], [2, 5], [4, 1], [6, 2], [18, 1]], 89/7962624], [[[1, 7], [2, 5], [4, 1], [6, 3], [8, 1]], 19843/2866544640], [[[1, 7], [2, 5], [4, 1], [6, 3], [10, 1]], 2737/1791590400], [[[1, 7], [2, 5], [4, 1], [6, 3], [12, 1]], 257/358318080], [[[1, 7], [2, 5], [4, 1], [7, 1], [8, 1]], 145/884736], [[[1, 7], [2, 5], [4, 1], [7, 1], [10, 1]], 1663/38707200], [[[1, 7], [2, 5], [4, 1], [7, 1], [12, 1]], 211/23224320], [[[1, 7], [2, 5], [4, 1], [8, 1], [9, 1]], 1109/79626240], [[[1, 7], [2, 5], [4, 1], [8, 1], [14, 1]], 403/30965760], [[[1, 7], [2, 5], [4, 1], [8, 1], [18, 1]], 259/39813120], [[[1, 7], [2, 5], [4, 1], [9, 1], [10, 1]], 13/3317760], [[[1, 7], [2, 5], [4, 1], [9, 1], [12, 1]], 1/1990656], [[[1, 7], [2, 5], [4, 1], [10, 1], [14, 1]], 1289/154828800], [[[1, 7], [2, 5], [4, 1], [10, 1], [18, 1]], 61/24883200], [[[1, 7], [2, 5], [4, 1], [12, 1], [14, 1]], 1/1548288], [[[1, 7], [2, 5], [4, 1], [12, 1], [18, 1]], 1/9953280], [[[1, 7], [2, 5], [4, 2], [5, 1], [6, 2]], 121/2764800], [[[1, 7], [2, 5], [4, 2], [5, 1], [8, 1]], 2783/5529600], [[[1, 7], [2, 5], [4, 2], [5, 1], [10, 1]], 67483/221184000], [[[1, 7], [2, 5], [4, 2], [5, 1], [12, 1]], 29/691200], [[[1, 7], [2, 5], [4, 2], [6, 1], [7, 1]], 3473/23224320], [[[1, 7], [2, 5], [4, 2], [6, 1], [9, 1]], 61/9953280], [[[1, 7], [2, 5], [4, 2], [6, 1], [14, 1]], 1997/185794560], [[[1, 7], [2, 5], [4, 2], [6, 1], [18, 1]], 1397/79626240], [[[1, 7], [2, 5], [4, 2], [6, 2], [8, 1]], 509/8847360], [[[1, 7], [2, 5], [4, 2], [6, 2], [10, 1]], 473/66355200], [[[1, 7], [2, 5], [4, 2], [6, 2], [12, 1]], 131/26542080], [[[1, 7], [2, 5], [4, 2], [8, 1], [10, 1]], 367/2764800], [[[1, 7], [2, 5], [4, 2], [8, 1], [12, 1]], 61/2211840], [[[1, 7], [2, 5], [4, 2], [10, 1], [12, 1]], 1/184320], [[[1, 7], [2, 5], [4, 3], [5, 1], [6, 1]], 1891/13271040], [[[1, 7], [2, 5], [4, 3], [6, 1], [8, 1]], 31583/159252480], [[[1, 7], [2, 5], [4, 3], [6, 1], [10, 1]], 191/11059200], [[[1, 7], [2, 5], [4, 3], [6, 1], [12, 1]], 1273/53084160], [[[1, 7], [2, 5], [5, 1], [6, 1], [7, 1]], 941/14515200], [[[1, 7], [2, 5], [5, 1], [6, 1], [9, 1]], 1/172800], [[[1, 7], [2, 5], [5, 1], [6, 1], [14, 1]], 1/1935360], [[[1, 7], [2, 5], [5, 1], [6, 1], [18, 1]], 1/829440], [[[1, 7], [2, 5], [5, 1], [6, 2], [8, 1]], 1/165888], [[[1, 7], [2, 5], [5, 1], [6, 2], [10, 1]], 503/24883200], [[[1, 7], [2, 5], [5, 1], [8, 1], [10, 1]], 6577/99532800], [[[1, 7], [2, 5], [6, 1], [7, 1], [8, 1]], 221/6635520], [[[1, 7], [2, 5], [6, 1], [7, 1], [10, 1]], 1/120960], [[[1, 7], [2, 5], [6, 1], [8, 1], [9, 1]], 1/3981312], [[[1, 7], [2, 5], [6, 1], [8, 1], [14, 1]], 229/46448640], [[[1, 7], [2, 5], [6, 1], [8, 1], [18, 1]], 289/59719680], [[[1, 7], [2, 5], [6, 1], [10, 1], [14, 1]], 73/29030400], [[[1, 7], [2, 5], [6, 1], [10, 1], [18, 1]], 1/331776], [[[1, 7], [2, 5], [6, 1], [12, 1], [14, 1]], 23/46448640], [[[1, 7], [2, 5], [6, 2], [8, 1], [10, 1]], 199/99532800], [[[1, 7], [2, 5], [6, 2], [8, 1], [12, 1]], 1/5308416], [[[1, 7], [2, 5], [6, 2], [10, 1], [12, 1]], 13/33177600], [[[1, 7], [2, 7], [3, 1], [4, 1], [6, 3]], 1415353/10749542400], [[[1, 7], [2, 7], [3, 1], [4, 1], [7, 1]], 103727/2786918400], [[[1, 7], [2, 7], [3, 1], [4, 1], [9, 1]], 29287/1194393600], [[[1, 7], [2, 7], [3, 1], [4, 1], [14, 1]], 8437/232243200], [[[1, 7], [2, 7], [3, 1], [4, 1], [18, 1]], 1/276480], [[[1, 7], [2, 7], [3, 1], [4, 2], [5, 1]], 25687/221184000], [[[1, 7], [2, 7], [3, 1], [4, 2], [6, 2]], 65713/176947200], [[[1, 7], [2, 7], [3, 1], [4, 2], [8, 1]], 1807/7372800], [[[1, 7], [2, 7], [3, 1], [4, 2], [10, 1]], 6559/55296000], [[[1, 7], [2, 7], [3, 1], [4, 2], [12, 1]], 5929/265420800], [[[1, 7], [2, 7], [3, 1], [4, 3], [6, 1]], 913783/2388787200], [[[1, 7], [2, 7], [3, 1], [5, 1], [6, 2]], 44203/663552000], [[[1, 7], [2, 7], [3, 1], [5, 1], [8, 1]], 91/6220800], [[[1, 7], [2, 7], [3, 1], [5, 1], [10, 1]], 9449/199065600], [[[1, 7], [2, 7], [3, 1], [5, 1], [12, 1]], 329/331776000], [[[1, 7], [2, 7], [3, 1], [6, 1], [7, 1]], 1129/38707200], [[[1, 7], [2, 7], [3, 1], [6, 1], [9, 1]], 4513/298598400], [[[1, 7], [2, 7], [3, 1], [6, 1], [14, 1]], 1129/38707200], [[[1, 7], [2, 7], [3, 1], [6, 1], [18, 1]], 4513/298598400], [[[1, 7], [2, 7], [3, 1], [6, 2], [8, 1]], 63449/955514880], [[[1, 7], [2, 7], [3, 1], [6, 2], [10, 1]], 41369/597196800], [[[1, 7], [2, 7], [3, 1], [6, 2], [12, 1]], 481/132710400], [[[1, 7], [2, 7], [3, 1], [8, 1], [10, 1]], 413/33177600], [[[1, 7], [2, 7], [3, 1], [8, 1], [12, 1]], 11/53084160], [[[1, 7], [2, 7], [3, 1], [10, 1], [12, 1]], 1/3686400], [[[1, 7], [2, 7], [3, 2], [4, 1], [5, 1]], 255469/5971968000], [[[1, 7], [2, 7], [3, 2], [4, 1], [6, 2]], 5771681/14332723200], [[[1, 7], [2, 7], [3, 2], [4, 1], [8, 1]], 15901/238878720], [[[1, 7], [2, 7], [3, 2], [4, 1], [10, 1]], 3857/99532800], [[[1, 7], [2, 7], [3, 2], [4, 1], [12, 1]], 1031/149299200], [[[1, 7], [2, 7], [3, 2], [4, 2], [6, 1]], 65713/176947200], [[[1, 7], [2, 7], [3, 2], [5, 1], [6, 1]], 41369/597196800], [[[1, 7], [2, 7], [3, 2], [6, 1], [8, 1]], 63449/955514880], [[[1, 7], [2, 7], [3, 2], [6, 1], [10, 1]], 44203/663552000], [[[1, 7], [2, 7], [3, 2], [6, 1], [12, 1]], 481/132710400], [[[1, 7], [2, 7], [3, 3], [4, 1], [6, 1]], 1415353/10749542400], [[[1, 7], [2, 7], [4, 1], [5, 1], [6, 2]], 3857/99532800], [[[1, 7], [2, 7], [4, 1], [5, 1], [8, 1]], 1477/18432000], [[[1, 7], [2, 7], [4, 1], [5, 1], [10, 1]], 99649/796262400], [[[1, 7], [2, 7], [4, 1], [5, 1], [12, 1]], 43/16588800], [[[1, 7], [2, 7], [4, 1], [6, 1], [7, 1]], 8437/232243200], [[[1, 7], [2, 7], [4, 1], [6, 1], [9, 1]], 1/276480], [[[1, 7], [2, 7], [4, 1], [6, 1], [14, 1]], 103727/2786918400], [[[1, 7], [2, 7], [4, 1], [6, 1], [18, 1]], 29287/1194393600], [[[1, 7], [2, 7], [4, 1], [6, 2], [8, 1]], 15901/238878720], [[[1, 7], [2, 7], [4, 1], [6, 2], [10, 1]], 255469/5971968000], [[[1, 7], [2, 7], [4, 1], [6, 2], [12, 1]], 1031/149299200], [[[1, 7], [2, 7], [4, 1], [8, 1], [10, 1]], 1477/18432000], [[[1, 7], [2, 7], [4, 1], [8, 1], [12, 1]], 1/737280], [[[1, 7], [2, 7], [4, 1], [10, 1], [12, 1]], 43/16588800], [[[1, 7], [2, 7], [4, 2], [5, 1], [6, 1]], 6559/55296000], [[[1, 7], [2, 7], [4, 2], [6, 1], [8, 1]], 1807/7372800], [[[1, 7], [2, 7], [4, 2], [6, 1], [10, 1]], 25687/221184000], [[[1, 7], [2, 7], [4, 2], [6, 1], [12, 1]], 5929/265420800], [[[1, 7], [2, 7], [5, 1], [6, 1], [8, 1]], 413/33177600], [[[1, 7], [2, 7], [5, 1], [6, 1], [10, 1]], 9449/199065600], [[[1, 7], [2, 7], [5, 1], [6, 1], [12, 1]], 1/3686400], [[[1, 7], [2, 7], [6, 1], [8, 1], [10, 1]], 91/6220800], [[[1, 7], [2, 7], [6, 1], [8, 1], [12, 1]], 11/53084160], [[[1, 7], [2, 7], [6, 1], [10, 1], [12, 1]], 329/331776000], [[[1, 7], [2, 9], [3, 1], [4, 1], [5, 1]], 593/127401984], [[[1, 7], [2, 9], [3, 1], [4, 1], [6, 2]], 23932529/192631799808], [[[1, 7], [2, 9], [3, 1], [4, 1], [8, 1]], 62189/3822059520], [[[1, 7], [2, 9], [3, 1], [4, 1], [10, 1]], 100469/3981312000], [[[1, 7], [2, 9], [3, 1], [4, 1], [12, 1]], 1051/2548039680], [[[1, 7], [2, 9], [3, 1], [4, 2], [6, 1]], 2455273/17836277760], [[[1, 7], [2, 9], [3, 1], [5, 1], [6, 1]], 107299/15925248000], [[[1, 7], [2, 9], [3, 1], [6, 1], [8, 1]], 829/62705664], [[[1, 7], [2, 9], [3, 1], [6, 1], [10, 1]], 3211039/100329062400], [[[1, 7], [2, 9], [3, 1], [6, 1], [12, 1]], 37/238878720], [[[1, 7], [2, 9], [3, 2], [4, 1], [6, 1]], 541355/10701766656], [[[1, 7], [2, 9], [4, 1], [5, 1], [6, 1]], 10889/796262400], [[[1, 7], [2, 9], [4, 1], [6, 1], [8, 1]], 8121487/200658124800], [[[1, 7], [2, 9], [4, 1], [6, 1], [10, 1]], 854549/14332723200], [[[1, 7], [2, 9], [4, 1], [6, 1], [12, 1]], 279233/133772083200], [[[1, 7], [2, 11], [3, 1], [4, 1], [6, 1]], 1780286833/132434362368000], [[[1, 8], [2, 2], [3, 1], [4, 1], [11, 1]], 53/1520640], [[[1, 8], [2, 2], [3, 1], [4, 2], [5, 2]], 89/1024000], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 4]], 1/477757440], [[[1, 8], [2, 2], [3, 1], [4, 2], [8, 2]], 7/1105920], [[[1, 8], [2, 2], [3, 1], [4, 2], [12, 2]], 1/46448640], [[[1, 8], [2, 2], [3, 1], [4, 3], [7, 1]], 20729/836075520], [[[1, 8], [2, 2], [3, 1], [4, 3], [9, 1]], 26423/2508226560], [[[1, 8], [2, 2], [3, 1], [4, 4], [5, 1]], 11171/1194393600], [[[1, 8], [2, 2], [3, 1], [4, 4], [6, 2]], 53/4459069440], [[[1, 8], [2, 2], [3, 1], [4, 4], [8, 1]], 947/119439360], [[[1, 8], [2, 2], [3, 1], [4, 4], [10, 1]], 1/5529600], [[[1, 8], [2, 2], [3, 1], [4, 4], [12, 1]], 277/743178240], [[[1, 8], [2, 2], [3, 1], [4, 5], [6, 1]], 23/159252480], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 4]], 1/261273600], [[[1, 8], [2, 2], [3, 1], [5, 1], [8, 2]], 1/368640], [[[1, 8], [2, 2], [3, 1], [5, 2], [6, 2]], 47017/13934592000], [[[1, 8], [2, 2], [3, 1], [5, 2], [8, 1]], 119/1843200], [[[1, 8], [2, 2], [3, 1], [5, 2], [10, 1]], 223/3456000], [[[1, 8], [2, 2], [3, 1], [5, 2], [12, 1]], 5219/774144000], [[[1, 8], [2, 2], [3, 1], [6, 1], [11, 1]], 11447/2299207680], [[[1, 8], [2, 2], [3, 1], [6, 1], [22, 1]], 1/36495360], [[[1, 8], [2, 2], [3, 1], [6, 3], [7, 1]], 1/34836480], [[[1, 8], [2, 2], [3, 1], [6, 3], [18, 1]], 1/89579520], [[[1, 8], [2, 2], [3, 1], [7, 1], [9, 1]], 269/11612160], [[[1, 8], [2, 2], [3, 2], [4, 1], [5, 2]], 1703/8294400], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 4]], 7/119439360], [[[1, 8], [2, 2], [3, 2], [4, 1], [8, 2]], 29/2654208], [[[1, 8], [2, 2], [3, 2], [4, 1], [12, 2]], 1/8709120], [[[1, 8], [2, 2], [3, 2], [4, 2], [6, 3]], 1/10616832], [[[1, 8], [2, 2], [3, 2], [4, 2], [7, 1]], 493/6635520], [[[1, 8], [2, 2], [3, 2], [4, 2], [9, 1]], 1613/39813120], [[[1, 8], [2, 2], [3, 2], [4, 3], [5, 1]], 859/29030400], [[[1, 8], [2, 2], [3, 2], [4, 3], [6, 2]], 1019/836075520], [[[1, 8], [2, 2], [3, 2], [4, 3], [8, 1]], 2333/159252480], [[[1, 8], [2, 2], [3, 2], [4, 3], [10, 1]], 1/3317760], [[[1, 8], [2, 2], [3, 2], [4, 3], [12, 1]], 11/9289728], [[[1, 8], [2, 2], [3, 2], [4, 4], [6, 1]], 8393/3822059520], [[[1, 8], [2, 2], [3, 2], [5, 1], [6, 3]], 59/46448640], [[[1, 8], [2, 2], [3, 2], [5, 1], [7, 1]], 24271/116121600], [[[1, 8], [2, 2], [3, 2], [5, 1], [9, 1]], 3029/22394880], [[[1, 8], [2, 2], [3, 2], [5, 2], [6, 1]], 149/622080], [[[1, 8], [2, 2], [3, 2], [6, 1], [8, 2]], 1/4976640], [[[1, 8], [2, 2], [3, 2], [6, 2], [7, 1]], 107/13271040], [[[1, 8], [2, 2], [3, 2], [6, 2], [9, 1]], 8849/4514807808], [[[1, 8], [2, 2], [3, 2], [6, 2], [18, 1]], 1/59719680], [[[1, 8], [2, 2], [3, 2], [6, 3], [8, 1]], 29/836075520], [[[1, 8], [2, 2], [3, 2], [6, 3], [12, 1]], 1/79626240], [[[1, 8], [2, 2], [3, 2], [7, 1], [8, 1]], 1/21504], [[[1, 8], [2, 2], [3, 2], [7, 1], [10, 1]], 11/3628800], [[[1, 8], [2, 2], [3, 2], [7, 1], [12, 1]], 157/15482880], [[[1, 8], [2, 2], [3, 2], [8, 1], [9, 1]], 1079/44789760], [[[1, 8], [2, 2], [3, 2], [9, 1], [10, 1]], 133/55987200], [[[1, 8], [2, 2], [3, 2], [9, 1], [12, 1]], 1/737280], [[[1, 8], [2, 2], [3, 3], [4, 1], [6, 3]], 601/358318080], [[[1, 8], [2, 2], [3, 3], [4, 1], [7, 1]], 7831/83607552], [[[1, 8], [2, 2], [3, 3], [4, 1], [9, 1]], 3661/44789760], [[[1, 8], [2, 2], [3, 3], [4, 2], [5, 1]], 20557/309657600], [[[1, 8], [2, 2], [3, 3], [4, 2], [6, 2]], 2693/268738560], [[[1, 8], [2, 2], [3, 3], [4, 2], [8, 1]], 94061/3344302080], [[[1, 8], [2, 2], [3, 3], [4, 2], [10, 1]], 8513/4180377600], [[[1, 8], [2, 2], [3, 3], [4, 2], [12, 1]], 42191/5016453120], [[[1, 8], [2, 2], [3, 3], [4, 3], [6, 1]], 5233/429981696], [[[1, 8], [2, 2], [3, 3], [5, 1], [6, 2]], 2680519/37623398400], [[[1, 8], [2, 2], [3, 3], [5, 1], [8, 1]], 83603/2090188800], [[[1, 8], [2, 2], [3, 3], [5, 1], [10, 1]], 264413/13934592000], [[[1, 8], [2, 2], [3, 3], [5, 1], [12, 1]], 1841/99532800], [[[1, 8], [2, 2], [3, 3], [6, 1], [7, 1]], 32369/313528320], [[[1, 8], [2, 2], [3, 3], [6, 1], [9, 1]], 121579/1881169920], [[[1, 8], [2, 2], [3, 3], [6, 2], [8, 1]], 1309/1074954240], [[[1, 8], [2, 2], [3, 3], [6, 2], [10, 1]], 1/37324800], [[[1, 8], [2, 2], [3, 3], [6, 2], [12, 1]], 853/1003290624], [[[1, 8], [2, 2], [3, 3], [8, 1], [12, 1]], 17/19906560], [[[1, 8], [2, 2], [3, 3], [10, 1], [12, 1]], 1/6220800], [[[1, 8], [2, 2], [3, 4], [4, 1], [5, 1]], 1153/18662400], [[[1, 8], [2, 2], [3, 4], [4, 1], [6, 2]], 6721/537477120], [[[1, 8], [2, 2], [3, 4], [4, 1], [8, 1]], 439/15925248], [[[1, 8], [2, 2], [3, 4], [4, 1], [10, 1]], 11/7838208], [[[1, 8], [2, 2], [3, 4], [4, 1], [12, 1]], 1417/94058496], [[[1, 8], [2, 2], [3, 4], [4, 2], [6, 1]], 22507/1433272320], [[[1, 8], [2, 2], [3, 4], [5, 1], [6, 1]], 147961/1254113280], [[[1, 8], [2, 2], [3, 4], [6, 1], [8, 1]], 126001/7524679680], [[[1, 8], [2, 2], [3, 4], [6, 1], [12, 1]], 1219/107495424], [[[1, 8], [2, 2], [3, 5], [4, 1], [6, 1]], 65849/3224862720], [[[1, 8], [2, 2], [4, 1], [5, 1], [8, 2]], 17/1228800], [[[1, 8], [2, 2], [4, 1], [5, 1], [10, 2]], 29/82944000], [[[1, 8], [2, 2], [4, 1], [5, 2], [8, 1]], 3427/36864000], [[[1, 8], [2, 2], [4, 1], [5, 2], [10, 1]], 106079/2903040000], [[[1, 8], [2, 2], [4, 1], [5, 2], [12, 1]], 3427/870912000], [[[1, 8], [2, 2], [4, 1], [6, 1], [11, 1]], 23/27371520], [[[1, 8], [2, 2], [4, 1], [7, 1], [9, 1]], 47/5806080], [[[1, 8], [2, 2], [4, 2], [5, 1], [7, 1]], 151/2064384], [[[1, 8], [2, 2], [4, 2], [5, 1], [9, 1]], 611/116121600], [[[1, 8], [2, 2], [4, 2], [5, 2], [6, 1]], 193/11059200], [[[1, 8], [2, 2], [4, 2], [6, 2], [7, 1]], 1/1658880], [[[1, 8], [2, 2], [4, 2], [6, 2], [18, 1]], 1/39813120], [[[1, 8], [2, 2], [4, 2], [6, 3], [8, 1]], 1/477757440], [[[1, 8], [2, 2], [4, 2], [7, 1], [8, 1]], 101/4644864], [[[1, 8], [2, 2], [4, 2], [7, 1], [10, 1]], 73/58060800], [[[1, 8], [2, 2], [4, 2], [7, 1], [12, 1]], 11/6967296], [[[1, 8], [2, 2], [4, 2], [8, 1], [9, 1]], 31/15482880], [[[1, 8], [2, 2], [4, 2], [8, 1], [18, 1]], 1/6635520], [[[1, 8], [2, 2], [4, 2], [9, 1], [10, 1]], 1/58060800], [[[1, 8], [2, 2], [4, 2], [9, 1], [12, 1]], 1/34836480], [[[1, 8], [2, 2], [4, 2], [10, 1], [14, 1]], 1/51609600], [[[1, 8], [2, 2], [4, 3], [5, 1], [8, 1]], 5567/309657600], [[[1, 8], [2, 2], [4, 3], [5, 1], [10, 1]], 5497/1990656000], [[[1, 8], [2, 2], [4, 3], [5, 1], [12, 1]], 1/2764800], [[[1, 8], [2, 2], [4, 3], [6, 1], [7, 1]], 1/552960], [[[1, 8], [2, 2], [4, 3], [6, 2], [8, 1]], 1/17694720], [[[1, 8], [2, 2], [4, 3], [8, 1], [10, 1]], 1/4915200], [[[1, 8], [2, 2], [4, 4], [5, 1], [6, 1]], 211/232243200], [[[1, 8], [2, 2], [4, 4], [6, 1], [8, 1]], 1/1769472], [[[1, 8], [2, 2], [4, 4], [6, 1], [12, 1]], 1/70778880], [[[1, 8], [2, 2], [5, 1], [6, 1], [8, 2]], 1/9676800], [[[1, 8], [2, 2], [5, 1], [6, 2], [7, 1]], 31/37324800], [[[1, 8], [2, 2], [5, 1], [6, 2], [9, 1]], 1/32659200], [[[1, 8], [2, 2], [5, 1], [6, 3], [10, 1]], 1/1194393600], [[[1, 8], [2, 2], [5, 1], [7, 1], [8, 1]], 2453/58060800], [[[1, 8], [2, 2], [5, 1], [7, 1], [10, 1]], 67/12096000], [[[1, 8], [2, 2], [5, 1], [8, 1], [9, 1]], 23/29030400], [[[1, 8], [2, 2], [5, 1], [9, 1], [10, 1]], 31/64512000], [[[1, 8], [2, 2], [5, 1], [10, 1], [18, 1]], 1/16588800], [[[1, 8], [2, 2], [5, 2], [6, 1], [8, 1]], 3427/1741824000], [[[1, 8], [2, 2], [6, 1], [7, 1], [9, 1]], 1/4354560], [[[1, 8], [2, 4], [3, 1], [4, 1], [5, 2]], 2423/6912000], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 4]], 899/1433272320], [[[1, 8], [2, 4], [3, 1], [4, 1], [8, 2]], 227/3732480], [[[1, 8], [2, 4], [3, 1], [4, 1], [10, 2]], 7/27648000], [[[1, 8], [2, 4], [3, 1], [4, 1], [12, 2]], 1/9953280], [[[1, 8], [2, 4], [3, 1], [4, 2], [6, 3]], 1093/278691840], [[[1, 8], [2, 4], [3, 1], [4, 2], [7, 1]], 1733/6881280], [[[1, 8], [2, 4], [3, 1], [4, 2], [9, 1]], 26861/238878720], [[[1, 8], [2, 4], [3, 1], [4, 2], [14, 1]], 61/30965760], [[[1, 8], [2, 4], [3, 1], [4, 2], [18, 1]], 1/884736], [[[1, 8], [2, 4], [3, 1], [4, 3], [5, 1]], 76639/398131200], [[[1, 8], [2, 4], [3, 1], [4, 3], [6, 2]], 46349/1911029760], [[[1, 8], [2, 4], [3, 1], [4, 3], [8, 1]], 4453/26542080], [[[1, 8], [2, 4], [3, 1], [4, 3], [10, 1]], 121/8294400], [[[1, 8], [2, 4], [3, 1], [4, 3], [12, 1]], 6221/318504960], [[[1, 8], [2, 4], [3, 1], [4, 4], [6, 1]], 124627/3344302080], [[[1, 8], [2, 4], [3, 1], [5, 1], [6, 3]], 13/3265920], [[[1, 8], [2, 4], [3, 1], [5, 1], [7, 1]], 346349/2090188800], [[[1, 8], [2, 4], [3, 1], [5, 1], [9, 1]], 767/12902400], [[[1, 8], [2, 4], [3, 1], [5, 2], [6, 1]], 663949/3483648000], [[[1, 8], [2, 4], [3, 1], [6, 1], [8, 2]], 13/2211840], [[[1, 8], [2, 4], [3, 1], [6, 1], [10, 2]], 23/165888000], [[[1, 8], [2, 4], [3, 1], [6, 2], [7, 1]], 16673/557383680], [[[1, 8], [2, 4], [3, 1], [6, 2], [9, 1]], 17/5598720], [[[1, 8], [2, 4], [3, 1], [6, 2], [14, 1]], 1/2177280], [[[1, 8], [2, 4], [3, 1], [6, 2], [18, 1]], 37/44789760], [[[1, 8], [2, 4], [3, 1], [6, 3], [8, 1]], 17/23887872], [[[1, 8], [2, 4], [3, 1], [6, 3], [10, 1]], 37/298598400], [[[1, 8], [2, 4], [3, 1], [6, 3], [12, 1]], 1/6635520], [[[1, 8], [2, 4], [3, 1], [7, 1], [8, 1]], 6539/104509440], [[[1, 8], [2, 4], [3, 1], [7, 1], [10, 1]], 73/4838400], [[[1, 8], [2, 4], [3, 1], [7, 1], [12, 1]], 353/92897280], [[[1, 8], [2, 4], [3, 1], [8, 1], [9, 1]], 5267/313528320], [[[1, 8], [2, 4], [3, 1], [9, 1], [10, 1]], 1/230400], [[[1, 8], [2, 4], [3, 1], [10, 1], [14, 1]], 1/19353600], [[[1, 8], [2, 4], [3, 2], [4, 1], [6, 3]], 20557/627056640], [[[1, 8], [2, 4], [3, 2], [4, 1], [7, 1]], 599/2580480], [[[1, 8], [2, 4], [3, 2], [4, 1], [9, 1]], 43213/268738560], [[[1, 8], [2, 4], [3, 2], [4, 2], [5, 1]], 132457/398131200], [[[1, 8], [2, 4], [3, 2], [4, 2], [6, 2]], 859/4976640], [[[1, 8], [2, 4], [3, 2], [4, 2], [8, 1]], 6253/26542080], [[[1, 8], [2, 4], [3, 2], [4, 2], [10, 1]], 1/48600], [[[1, 8], [2, 4], [3, 2], [4, 2], [12, 1]], 4313/95551488], [[[1, 8], [2, 4], [3, 2], [4, 3], [6, 1]], 702607/4459069440], [[[1, 8], [2, 4], [3, 2], [5, 1], [6, 2]], 1588073/8360755200], [[[1, 8], [2, 4], [3, 2], [5, 1], [8, 1]], 743/9676800], [[[1, 8], [2, 4], [3, 2], [5, 1], [10, 1]], 12151/165888000], [[[1, 8], [2, 4], [3, 2], [5, 1], [12, 1]], 1891/154828800], [[[1, 8], [2, 4], [3, 2], [6, 1], [7, 1]], 9329/52254720], [[[1, 8], [2, 4], [3, 2], [6, 1], [9, 1]], 6091/80621568], [[[1, 8], [2, 4], [3, 2], [6, 1], [14, 1]], 107/123863040], [[[1, 8], [2, 4], [3, 2], [6, 1], [18, 1]], 1/1492992], [[[1, 8], [2, 4], [3, 2], [6, 2], [8, 1]], 10193/278691840], [[[1, 8], [2, 4], [3, 2], [6, 2], [10, 1]], 7567/2388787200], [[[1, 8], [2, 4], [3, 2], [6, 2], [12, 1]], 7/4976640], [[[1, 8], [2, 4], [3, 2], [8, 1], [10, 1]], 1/276480], [[[1, 8], [2, 4], [3, 2], [8, 1], [12, 1]], 169/139345920], [[[1, 8], [2, 4], [3, 2], [10, 1], [12, 1]], 1/1382400], [[[1, 8], [2, 4], [3, 3], [4, 1], [5, 1]], 191279/1003290624], [[[1, 8], [2, 4], [3, 3], [4, 1], [6, 2]], 145273/537477120], [[[1, 8], [2, 4], [3, 3], [4, 1], [8, 1]], 35771/334430208], [[[1, 8], [2, 4], [3, 3], [4, 1], [10, 1]], 2987/179159040], [[[1, 8], [2, 4], [3, 3], [4, 1], [12, 1]], 66097/2149908480], [[[1, 8], [2, 4], [3, 3], [4, 2], [6, 1]], 2008247/7524679680], [[[1, 8], [2, 4], [3, 3], [5, 1], [6, 1]], 5263673/18811699200], [[[1, 8], [2, 4], [3, 3], [6, 1], [8, 1]], 30863/358318080], [[[1, 8], [2, 4], [3, 3], [6, 1], [10, 1]], 781/55987200], [[[1, 8], [2, 4], [3, 3], [6, 1], [12, 1]], 2873/179159040], [[[1, 8], [2, 4], [3, 4], [4, 1], [6, 1]], 382159/2006581248], [[[1, 8], [2, 4], [4, 1], [5, 1], [6, 3]], 1/2073600], [[[1, 8], [2, 4], [4, 1], [5, 1], [7, 1]], 6455/27869184], [[[1, 8], [2, 4], [4, 1], [5, 1], [9, 1]], 7919/348364800], [[[1, 8], [2, 4], [4, 1], [5, 2], [6, 1]], 117769/1741824000], [[[1, 8], [2, 4], [4, 1], [6, 1], [8, 2]], 1/155520], [[[1, 8], [2, 4], [4, 1], [6, 1], [10, 2]], 1/6912000], [[[1, 8], [2, 4], [4, 1], [6, 2], [7, 1]], 47/5806080], [[[1, 8], [2, 4], [4, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 8], [2, 4], [4, 1], [6, 2], [14, 1]], 1/4644864], [[[1, 8], [2, 4], [4, 1], [6, 2], [18, 1]], 19/29859840], [[[1, 8], [2, 4], [4, 1], [6, 3], [8, 1]], 1/4718592], [[[1, 8], [2, 4], [4, 1], [6, 3], [10, 1]], 1/47775744], [[[1, 8], [2, 4], [4, 1], [6, 3], [12, 1]], 1/79626240], [[[1, 8], [2, 4], [4, 1], [7, 1], [8, 1]], 12679/139345920], [[[1, 8], [2, 4], [4, 1], [7, 1], [10, 1]], 1/71680], [[[1, 8], [2, 4], [4, 1], [7, 1], [12, 1]], 1/276480], [[[1, 8], [2, 4], [4, 1], [8, 1], [9, 1]], 73/13934592], [[[1, 8], [2, 4], [4, 1], [8, 1], [14, 1]], 47/61931520], [[[1, 8], [2, 4], [4, 1], [8, 1], [18, 1]], 7/8847360], [[[1, 8], [2, 4], [4, 1], [9, 1], [10, 1]], 7/12441600], [[[1, 8], [2, 4], [4, 1], [9, 1], [12, 1]], 1/7464960], [[[1, 8], [2, 4], [4, 1], [10, 1], [14, 1]], 1/3096576], [[[1, 8], [2, 4], [4, 1], [10, 1], [18, 1]], 1/16588800], [[[1, 8], [2, 4], [4, 2], [5, 1], [6, 2]], 463/58060800], [[[1, 8], [2, 4], [4, 2], [5, 1], [8, 1]], 683/2654208], [[[1, 8], [2, 4], [4, 2], [5, 1], [10, 1]], 20851/258048000], [[[1, 8], [2, 4], [4, 2], [5, 1], [12, 1]], 473/29030400], [[[1, 8], [2, 4], [4, 2], [6, 1], [7, 1]], 16423/278691840], [[[1, 8], [2, 4], [4, 2], [6, 1], [9, 1]], 337/278691840], [[[1, 8], [2, 4], [4, 2], [6, 1], [14, 1]], 43/61931520], [[[1, 8], [2, 4], [4, 2], [6, 1], [18, 1]], 101/79626240], [[[1, 8], [2, 4], [4, 2], [6, 2], [8, 1]], 251/47775744], [[[1, 8], [2, 4], [4, 2], [6, 2], [10, 1]], 29/132710400], [[[1, 8], [2, 4], [4, 2], [6, 2], [12, 1]], 11/53084160], [[[1, 8], [2, 4], [4, 2], [8, 1], [10, 1]], 299/22118400], [[[1, 8], [2, 4], [4, 2], [8, 1], [12, 1]], 7/1990656], [[[1, 8], [2, 4], [4, 3], [5, 1], [6, 1]], 869/16588800], [[[1, 8], [2, 4], [4, 3], [6, 1], [8, 1]], 36349/955514880], [[[1, 8], [2, 4], [4, 3], [6, 1], [10, 1]], 37/44236800], [[[1, 8], [2, 4], [4, 3], [6, 1], [12, 1]], 121/106168320], [[[1, 8], [2, 4], [5, 1], [6, 1], [7, 1]], 22559/522547200], [[[1, 8], [2, 4], [5, 1], [6, 1], [9, 1]], 29/16329600], [[[1, 8], [2, 4], [5, 1], [6, 2], [8, 1]], 1/829440], [[[1, 8], [2, 4], [5, 1], [6, 2], [10, 1]], 97/59719680], [[[1, 8], [2, 4], [5, 1], [8, 1], [10, 1]], 3583/248832000], [[[1, 8], [2, 4], [6, 1], [7, 1], [8, 1]], 1/110592], [[[1, 8], [2, 4], [6, 1], [7, 1], [10, 1]], 1/1209600], [[[1, 8], [2, 4], [6, 1], [8, 1], [9, 1]], 1/14929920], [[[1, 8], [2, 4], [6, 1], [8, 1], [14, 1]], 1/11612160], [[[1, 8], [2, 4], [6, 1], [8, 1], [18, 1]], 1/4976640], [[[1, 8], [2, 4], [6, 1], [10, 1], [14, 1]], 23/464486400], [[[1, 8], [2, 4], [6, 1], [10, 1], [18, 1]], 7/99532800], [[[1, 8], [2, 4], [6, 1], [12, 1], [14, 1]], 1/61931520], [[[1, 8], [2, 4], [6, 2], [10, 1], [12, 1]], 1/132710400], [[[1, 8], [2, 6], [3, 1], [4, 1], [6, 3]], 48583/1433272320], [[[1, 8], [2, 6], [3, 1], [4, 1], [7, 1]], 1681877/16721510400], [[[1, 8], [2, 6], [3, 1], [4, 1], [9, 1]], 428023/10032906240], [[[1, 8], [2, 6], [3, 1], [4, 1], [14, 1]], 359/46448640], [[[1, 8], [2, 6], [3, 1], [4, 1], [18, 1]], 1/737280], [[[1, 8], [2, 6], [3, 1], [4, 2], [5, 1]], 6046871/23887872000], [[[1, 8], [2, 6], [3, 1], [4, 2], [6, 2]], 8209/47775744], [[[1, 8], [2, 6], [3, 1], [4, 2], [8, 1]], 431923/1592524800], [[[1, 8], [2, 6], [3, 1], [4, 2], [10, 1]], 1951/33177600], [[[1, 8], [2, 6], [3, 1], [4, 2], [12, 1]], 1819/77414400], [[[1, 8], [2, 6], [3, 1], [4, 3], [6, 1]], 74279/265420800], [[[1, 8], [2, 6], [3, 1], [5, 1], [6, 2]], 404539/6967296000], [[[1, 8], [2, 6], [3, 1], [5, 1], [8, 1]], 6523/199065600], [[[1, 8], [2, 6], [3, 1], [5, 1], [10, 1]], 60293/1194393600], [[[1, 8], [2, 6], [3, 1], [5, 1], [12, 1]], 6287/3483648000], [[[1, 8], [2, 6], [3, 1], [6, 1], [7, 1]], 15163/278691840], [[[1, 8], [2, 6], [3, 1], [6, 1], [9, 1]], 5729/358318080], [[[1, 8], [2, 6], [3, 1], [6, 1], [14, 1]], 781/174182400], [[[1, 8], [2, 6], [3, 1], [6, 1], [18, 1]], 203/59719680], [[[1, 8], [2, 6], [3, 1], [6, 2], [8, 1]], 23173/955514880], [[[1, 8], [2, 6], [3, 1], [6, 2], [10, 1]], 14173/1194393600], [[[1, 8], [2, 6], [3, 1], [6, 2], [12, 1]], 43/39813120], [[[1, 8], [2, 6], [3, 1], [8, 1], [10, 1]], 41/8294400], [[[1, 8], [2, 6], [3, 1], [8, 1], [12, 1]], 37/159252480], [[[1, 8], [2, 6], [3, 1], [10, 1], [12, 1]], 1/4423680], [[[1, 8], [2, 6], [3, 2], [4, 1], [5, 1]], 929051/6967296000], [[[1, 8], [2, 6], [3, 2], [4, 1], [6, 2]], 551953/1791590400], [[[1, 8], [2, 6], [3, 2], [4, 1], [8, 1]], 479653/4777574400], [[[1, 8], [2, 6], [3, 2], [4, 1], [10, 1]], 787/24883200], [[[1, 8], [2, 6], [3, 2], [4, 1], [12, 1]], 112019/8360755200], [[[1, 8], [2, 6], [3, 2], [4, 2], [6, 1]], 3660893/8493465600], [[[1, 8], [2, 6], [3, 2], [5, 1], [6, 1]], 1200217/8360755200], [[[1, 8], [2, 6], [3, 2], [6, 1], [8, 1]], 469583/6688604160], [[[1, 8], [2, 6], [3, 2], [6, 1], [10, 1]], 52981/1592524800], [[[1, 8], [2, 6], [3, 2], [6, 1], [12, 1]], 677/159252480], [[[1, 8], [2, 6], [3, 3], [4, 1], [6, 1]], 10286977/42998169600], [[[1, 8], [2, 6], [4, 1], [5, 1], [6, 2]], 887/49766400], [[[1, 8], [2, 6], [4, 1], [5, 1], [8, 1]], 937663/9289728000], [[[1, 8], [2, 6], [4, 1], [5, 1], [10, 1]], 225569/2654208000], [[[1, 8], [2, 6], [4, 1], [5, 1], [12, 1]], 31/8294400], [[[1, 8], [2, 6], [4, 1], [6, 1], [7, 1]], 461/9289728], [[[1, 8], [2, 6], [4, 1], [6, 1], [9, 1]], 1/442368], [[[1, 8], [2, 6], [4, 1], [6, 1], [14, 1]], 943/185794560], [[[1, 8], [2, 6], [4, 1], [6, 1], [18, 1]], 383/79626240], [[[1, 8], [2, 6], [4, 1], [6, 2], [8, 1]], 2617/159252480], [[[1, 8], [2, 6], [4, 1], [6, 2], [10, 1]], 773/199065600], [[[1, 8], [2, 6], [4, 1], [6, 2], [12, 1]], 199/238878720], [[[1, 8], [2, 6], [4, 1], [8, 1], [10, 1]], 3271/132710400], [[[1, 8], [2, 6], [4, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 8], [2, 6], [4, 1], [10, 1], [12, 1]], 1/4147200], [[[1, 8], [2, 6], [4, 2], [5, 1], [6, 1]], 121619/1161216000], [[[1, 8], [2, 6], [4, 2], [6, 1], [8, 1]], 52481/477757440], [[[1, 8], [2, 6], [4, 2], [6, 1], [10, 1]], 1717/88473600], [[[1, 8], [2, 6], [4, 2], [6, 1], [12, 1]], 59/10485760], [[[1, 8], [2, 6], [5, 1], [6, 1], [8, 1]], 37/3317760], [[[1, 8], [2, 6], [5, 1], [6, 1], [10, 1]], 12049/597196800], [[[1, 8], [2, 6], [5, 1], [6, 1], [12, 1]], 1/22118400], [[[1, 8], [2, 6], [6, 1], [8, 1], [10, 1]], 109/66355200], [[[1, 8], [2, 6], [6, 1], [8, 1], [12, 1]], 1/17694720], [[[1, 8], [2, 6], [6, 1], [10, 1], [12, 1]], 37/265420800], [[[1, 8], [2, 8], [3, 1], [4, 1], [5, 1]], 17603/663552000], [[[1, 8], [2, 8], [3, 1], [4, 1], [6, 2]], 283499/2786918400], [[[1, 8], [2, 8], [3, 1], [4, 1], [8, 1]], 236641/6370099200], [[[1, 8], [2, 8], [3, 1], [4, 1], [10, 1]], 25831/995328000], [[[1, 8], [2, 8], [3, 1], [4, 1], [12, 1]], 943/597196800], [[[1, 8], [2, 8], [3, 1], [4, 2], [6, 1]], 11530517/66886041600], [[[1, 8], [2, 8], [3, 1], [5, 1], [6, 1]], 877643/41803776000], [[[1, 8], [2, 8], [3, 1], [6, 1], [8, 1]], 21557/1194393600], [[[1, 8], [2, 8], [3, 1], [6, 1], [10, 1]], 877643/41803776000], [[[1, 8], [2, 8], [3, 1], [6, 1], [12, 1]], 7/26542080], [[[1, 8], [2, 8], [3, 2], [4, 1], [6, 1]], 283499/2786918400], [[[1, 8], [2, 8], [4, 1], [5, 1], [6, 1]], 25831/995328000], [[[1, 8], [2, 8], [4, 1], [6, 1], [8, 1]], 236641/6370099200], [[[1, 8], [2, 8], [4, 1], [6, 1], [10, 1]], 17603/663552000], [[[1, 8], [2, 8], [4, 1], [6, 1], [12, 1]], 943/597196800], [[[1, 8], [2, 10], [3, 1], [4, 1], [6, 1]], 96545431/4013162496000], [[[1, 8], [3, 1], [4, 1], [5, 2], [8, 1]], 7/1382400], [[[1, 8], [3, 1], [4, 2], [5, 1], [7, 1]], 47/6220800], [[[1, 8], [3, 1], [4, 2], [5, 1], [9, 1]], 223/58060800], [[[1, 8], [3, 1], [4, 2], [6, 2], [7, 1]], 1/92897280], [[[1, 8], [3, 1], [4, 2], [7, 1], [12, 1]], 1/15482880], [[[1, 8], [3, 1], [4, 3], [5, 1], [8, 1]], 1/2211840], [[[1, 8], [3, 1], [5, 1], [6, 2], [7, 1]], 401/1625702400], [[[1, 8], [3, 1], [5, 1], [7, 1], [12, 1]], 401/270950400], [[[1, 8], [3, 2], [4, 1], [7, 1], [8, 1]], 11/5806080], [[[1, 8], [3, 2], [4, 1], [8, 1], [9, 1]], 133/89579520], [[[1, 8], [3, 2], [4, 2], [5, 1], [6, 2]], 13/464486400], [[[1, 8], [3, 2], [4, 2], [5, 1], [12, 1]], 13/77414400], [[[1, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1/6635520], [[[1, 8], [3, 3], [4, 1], [5, 1], [8, 1]], 2941/1045094400], [[[1, 8], [3, 3], [4, 1], [6, 2], [8, 1]], 1/59719680], [[[1, 8], [3, 3], [4, 1], [8, 1], [12, 1]], 1/9953280], [[[1, 8], [4, 1], [5, 1], [7, 1], [8, 1]], 31/16588800], [[[1, 8], [4, 1], [5, 1], [8, 1], [9, 1]], 1/14515200], [[[1, 9], [2, 1], [3, 1], [4, 1], [11, 1]], 23/9123840], [[[1, 9], [2, 1], [3, 1], [4, 2], [5, 2]], 5849/870912000], [[[1, 9], [2, 1], [3, 1], [4, 2], [8, 2]], 31/79626240], [[[1, 9], [2, 1], [3, 1], [4, 3], [7, 1]], 433/167215104], [[[1, 9], [2, 1], [3, 1], [4, 3], [9, 1]], 119/119439360], [[[1, 9], [2, 1], [3, 1], [4, 4], [5, 1]], 1/3686400], [[[1, 9], [2, 1], [3, 1], [4, 4], [8, 1]], 1/8847360], [[[1, 9], [2, 1], [3, 1], [5, 2], [6, 2]], 779/4644864000], [[[1, 9], [2, 1], [3, 1], [5, 2], [8, 1]], 41/5529600], [[[1, 9], [2, 1], [3, 1], [5, 2], [10, 1]], 7/1382400], [[[1, 9], [2, 1], [3, 1], [5, 2], [12, 1]], 779/774144000], [[[1, 9], [2, 1], [3, 1], [6, 1], [11, 1]], 13/153280512], [[[1, 9], [2, 1], [3, 1], [7, 1], [9, 1]], 1973/731566080], [[[1, 9], [2, 1], [3, 2], [4, 1], [5, 2]], 1237/33177600], [[[1, 9], [2, 1], [3, 2], [4, 1], [8, 2]], 1/6635520], [[[1, 9], [2, 1], [3, 2], [4, 1], [12, 2]], 1/313528320], [[[1, 9], [2, 1], [3, 2], [4, 2], [6, 3]], 1/477757440], [[[1, 9], [2, 1], [3, 2], [4, 2], [7, 1]], 283/59719680], [[[1, 9], [2, 1], [3, 2], [4, 2], [9, 1]], 109/46448640], [[[1, 9], [2, 1], [3, 2], [4, 3], [5, 1]], 11659/2508226560], [[[1, 9], [2, 1], [3, 2], [4, 3], [6, 2]], 29/4299816960], [[[1, 9], [2, 1], [3, 2], [4, 3], [8, 1]], 497/477757440], [[[1, 9], [2, 1], [3, 2], [4, 3], [10, 1]], 1/49766400], [[[1, 9], [2, 1], [3, 2], [4, 3], [12, 1]], 53/716636160], [[[1, 9], [2, 1], [3, 2], [4, 4], [6, 1]], 1/13271040], [[[1, 9], [2, 1], [3, 2], [5, 1], [6, 3]], 89/1393459200], [[[1, 9], [2, 1], [3, 2], [5, 1], [7, 1]], 48967/812851200], [[[1, 9], [2, 1], [3, 2], [5, 1], [9, 1]], 47329/1567641600], [[[1, 9], [2, 1], [3, 2], [5, 2], [6, 1]], 263/8294400], [[[1, 9], [2, 1], [3, 2], [6, 2], [7, 1]], 83/390168576], [[[1, 9], [2, 1], [3, 2], [6, 2], [9, 1]], 1/55738368], [[[1, 9], [2, 1], [3, 2], [6, 3], [8, 1]], 1/3762339840], [[[1, 9], [2, 1], [3, 2], [7, 1], [8, 1]], 23/5806080], [[[1, 9], [2, 1], [3, 2], [7, 1], [12, 1]], 83/65028096], [[[1, 9], [2, 1], [3, 2], [8, 1], [9, 1]], 55/31352832], [[[1, 9], [2, 1], [3, 2], [9, 1], [12, 1]], 1/9289728], [[[1, 9], [2, 1], [3, 3], [4, 1], [6, 3]], 11/358318080], [[[1, 9], [2, 1], [3, 3], [4, 1], [7, 1]], 389/24385536], [[[1, 9], [2, 1], [3, 3], [4, 1], [9, 1]], 869/89579520], [[[1, 9], [2, 1], [3, 3], [4, 2], [5, 1]], 8921/1672151040], [[[1, 9], [2, 1], [3, 3], [4, 2], [6, 2]], 19/1114767360], [[[1, 9], [2, 1], [3, 3], [4, 2], [8, 1]], 8849/6688604160], [[[1, 9], [2, 1], [3, 3], [4, 2], [12, 1]], 19/185794560], [[[1, 9], [2, 1], [3, 3], [4, 3], [6, 1]], 13/89579520], [[[1, 9], [2, 1], [3, 3], [5, 1], [6, 2]], 37/59719680], [[[1, 9], [2, 1], [3, 3], [5, 1], [8, 1]], 12601/2090188800], [[[1, 9], [2, 1], [3, 3], [5, 1], [10, 1]], 15121/8360755200], [[[1, 9], [2, 1], [3, 3], [5, 1], [12, 1]], 37/9953280], [[[1, 9], [2, 1], [3, 3], [6, 1], [7, 1]], 1613/156764160], [[[1, 9], [2, 1], [3, 3], [6, 1], [9, 1]], 1237/235146240], [[[1, 9], [2, 1], [3, 3], [6, 2], [8, 1]], 1/119439360], [[[1, 9], [2, 1], [3, 3], [8, 1], [12, 1]], 1/19906560], [[[1, 9], [2, 1], [3, 4], [4, 1], [5, 1]], 185/11943936], [[[1, 9], [2, 1], [3, 4], [4, 1], [6, 2]], 11/59719680], [[[1, 9], [2, 1], [3, 4], [4, 1], [8, 1]], 6829/2508226560], [[[1, 9], [2, 1], [3, 4], [4, 1], [10, 1]], 121/881798400], [[[1, 9], [2, 1], [3, 4], [4, 1], [12, 1]], 22583/16930529280], [[[1, 9], [2, 1], [3, 4], [4, 2], [6, 1]], 6737/4299816960], [[[1, 9], [2, 1], [3, 4], [5, 1], [6, 1]], 253769/12541132800], [[[1, 9], [2, 1], [3, 4], [6, 1], [8, 1]], 121/1058158080], [[[1, 9], [2, 1], [3, 4], [6, 1], [12, 1]], 617/836075520], [[[1, 9], [2, 1], [3, 5], [4, 1], [6, 1]], 1091/1612431360], [[[1, 9], [2, 1], [4, 1], [5, 1], [8, 2]], 1/12902400], [[[1, 9], [2, 1], [4, 1], [5, 2], [8, 1]], 18547/2322432000], [[[1, 9], [2, 1], [4, 1], [5, 2], [10, 1]], 151/1451520000], [[[1, 9], [2, 1], [4, 1], [5, 2], [12, 1]], 151/870912000], [[[1, 9], [2, 1], [4, 1], [6, 1], [11, 1]], 1/47900160], [[[1, 9], [2, 1], [4, 1], [7, 1], [9, 1]], 1/2257920], [[[1, 9], [2, 1], [4, 2], [5, 1], [7, 1]], 89/23224320], [[[1, 9], [2, 1], [4, 2], [5, 1], [9, 1]], 1/12902400], [[[1, 9], [2, 1], [4, 2], [7, 1], [8, 1]], 73/92897280], [[[1, 9], [2, 1], [4, 2], [8, 1], [9, 1]], 1/92897280], [[[1, 9], [2, 1], [4, 3], [5, 1], [8, 1]], 17/14745600], [[[1, 9], [2, 1], [4, 3], [5, 1], [10, 1]], 1/96768000], [[[1, 9], [2, 1], [4, 3], [5, 1], [12, 1]], 1/58060800], [[[1, 9], [2, 1], [4, 3], [6, 1], [7, 1]], 1/7741440], [[[1, 9], [2, 1], [5, 1], [7, 1], [8, 1]], 641/203212800], [[[1, 9], [2, 1], [5, 1], [7, 1], [10, 1]], 1/14515200], [[[1, 9], [2, 1], [5, 1], [8, 1], [9, 1]], 1/29030400], [[[1, 9], [2, 1], [5, 1], [9, 1], [10, 1]], 1/116121600], [[[1, 9], [2, 1], [5, 2], [6, 1], [8, 1]], 151/1741824000], [[[1, 9], [2, 3], [3, 1], [4, 1], [5, 2]], 52081/248832000], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 4]], 13/10032906240], [[[1, 9], [2, 3], [3, 1], [4, 1], [8, 2]], 769/79626240], [[[1, 9], [2, 3], [3, 1], [4, 1], [12, 2]], 1/92897280], [[[1, 9], [2, 3], [3, 1], [4, 2], [6, 3]], 313/1672151040], [[[1, 9], [2, 3], [3, 1], [4, 2], [7, 1]], 15247/185794560], [[[1, 9], [2, 3], [3, 1], [4, 2], [9, 1]], 341/12386304], [[[1, 9], [2, 3], [3, 1], [4, 3], [5, 1]], 49457/1045094400], [[[1, 9], [2, 3], [3, 1], [4, 3], [6, 2]], 2129/2229534720], [[[1, 9], [2, 3], [3, 1], [4, 3], [8, 1]], 26767/1114767360], [[[1, 9], [2, 3], [3, 1], [4, 3], [10, 1]], 193/199065600], [[[1, 9], [2, 3], [3, 1], [4, 3], [12, 1]], 5917/3344302080], [[[1, 9], [2, 3], [3, 1], [4, 4], [6, 1]], 42841/13377208320], [[[1, 9], [2, 3], [3, 1], [5, 1], [6, 3]], 671/3135283200], [[[1, 9], [2, 3], [3, 1], [5, 1], [7, 1]], 593/5806080], [[[1, 9], [2, 3], [3, 1], [5, 1], [9, 1]], 13861/522547200], [[[1, 9], [2, 3], [3, 1], [5, 2], [6, 1]], 52543/653184000], [[[1, 9], [2, 3], [3, 1], [6, 1], [8, 2]], 29/92897280], [[[1, 9], [2, 3], [3, 1], [6, 1], [10, 2]], 1/331776000], [[[1, 9], [2, 3], [3, 1], [6, 2], [7, 1]], 7349/2508226560], [[[1, 9], [2, 3], [3, 1], [6, 2], [9, 1]], 157/940584960], [[[1, 9], [2, 3], [3, 1], [6, 2], [14, 1]], 1/139345920], [[[1, 9], [2, 3], [3, 1], [6, 2], [18, 1]], 1/59719680], [[[1, 9], [2, 3], [3, 1], [6, 3], [8, 1]], 1/1114767360], [[[1, 9], [2, 3], [3, 1], [7, 1], [8, 1]], 1289/59719680], [[[1, 9], [2, 3], [3, 1], [7, 1], [10, 1]], 229/87091200], [[[1, 9], [2, 3], [3, 1], [7, 1], [12, 1]], 53/46448640], [[[1, 9], [2, 3], [3, 1], [8, 1], [9, 1]], 73/19906560], [[[1, 9], [2, 3], [3, 1], [9, 1], [10, 1]], 23/52254720], [[[1, 9], [2, 3], [3, 2], [4, 1], [6, 3]], 51941/30098718720], [[[1, 9], [2, 3], [3, 2], [4, 1], [7, 1]], 8147/69672960], [[[1, 9], [2, 3], [3, 2], [4, 1], [9, 1]], 466481/7524679680], [[[1, 9], [2, 3], [3, 2], [4, 2], [5, 1]], 209509/1393459200], [[[1, 9], [2, 3], [3, 2], [4, 2], [6, 2]], 21857/1672151040], [[[1, 9], [2, 3], [3, 2], [4, 2], [8, 1]], 94259/1672151040], [[[1, 9], [2, 3], [3, 2], [4, 2], [10, 1]], 1453/522547200], [[[1, 9], [2, 3], [3, 2], [4, 2], [12, 1]], 8579/1003290624], [[[1, 9], [2, 3], [3, 2], [4, 3], [6, 1]], 1062301/48157949952], [[[1, 9], [2, 3], [3, 2], [5, 1], [6, 2]], 22847/627056640], [[[1, 9], [2, 3], [3, 2], [5, 1], [8, 1]], 52387/1254113280], [[[1, 9], [2, 3], [3, 2], [5, 1], [10, 1]], 6271/290304000], [[[1, 9], [2, 3], [3, 2], [5, 1], [12, 1]], 17/2867200], [[[1, 9], [2, 3], [3, 2], [6, 1], [7, 1]], 281773/4389396480], [[[1, 9], [2, 3], [3, 2], [6, 1], [9, 1]], 1289/69672960], [[[1, 9], [2, 3], [3, 2], [6, 2], [8, 1]], 14995/6019743744], [[[1, 9], [2, 3], [3, 2], [6, 2], [10, 1]], 17/464486400], [[[1, 9], [2, 3], [3, 2], [6, 2], [12, 1]], 11/209018880], [[[1, 9], [2, 3], [3, 2], [8, 1], [10, 1]], 1/4147200], [[[1, 9], [2, 3], [3, 2], [8, 1], [12, 1]], 193/716636160], [[[1, 9], [2, 3], [3, 2], [10, 1], [12, 1]], 1/14515200], [[[1, 9], [2, 3], [3, 3], [4, 1], [5, 1]], 1784507/12541132800], [[[1, 9], [2, 3], [3, 3], [4, 1], [6, 2]], 34351/836075520], [[[1, 9], [2, 3], [3, 3], [4, 1], [8, 1]], 967241/20065812480], [[[1, 9], [2, 3], [3, 3], [4, 1], [10, 1]], 27971/8360755200], [[[1, 9], [2, 3], [3, 3], [4, 1], [12, 1]], 9509/836075520], [[[1, 9], [2, 3], [3, 3], [4, 2], [6, 1]], 907/14929920], [[[1, 9], [2, 3], [3, 3], [5, 1], [6, 1]], 996697/6270566400], [[[1, 9], [2, 3], [3, 3], [6, 1], [8, 1]], 235673/10032906240], [[[1, 9], [2, 3], [3, 3], [6, 1], [10, 1]], 289/223948800], [[[1, 9], [2, 3], [3, 3], [6, 1], [12, 1]], 73/17418240], [[[1, 9], [2, 3], [3, 4], [4, 1], [6, 1]], 21085501/270888468480], [[[1, 9], [2, 3], [4, 1], [5, 1], [6, 3]], 1/43545600], [[[1, 9], [2, 3], [4, 1], [5, 1], [7, 1]], 965099/9754214400], [[[1, 9], [2, 3], [4, 1], [5, 1], [9, 1]], 1103/174182400], [[[1, 9], [2, 3], [4, 1], [5, 2], [6, 1]], 1187/72576000], [[[1, 9], [2, 3], [4, 1], [6, 1], [8, 2]], 29/278691840], [[[1, 9], [2, 3], [4, 1], [6, 2], [7, 1]], 127/209018880], [[[1, 9], [2, 3], [4, 1], [6, 2], [9, 1]], 1/209018880], [[[1, 9], [2, 3], [4, 1], [6, 2], [18, 1]], 1/159252480], [[[1, 9], [2, 3], [4, 1], [6, 3], [8, 1]], 1/3822059520], [[[1, 9], [2, 3], [4, 1], [7, 1], [8, 1]], 113/6193152], [[[1, 9], [2, 3], [4, 1], [7, 1], [10, 1]], 17/12902400], [[[1, 9], [2, 3], [4, 1], [7, 1], [12, 1]], 43/69672960], [[[1, 9], [2, 3], [4, 1], [8, 1], [9, 1]], 233/278691840], [[[1, 9], [2, 3], [4, 1], [8, 1], [18, 1]], 1/53084160], [[[1, 9], [2, 3], [4, 1], [9, 1], [10, 1]], 1/38707200], [[[1, 9], [2, 3], [4, 1], [9, 1], [12, 1]], 1/69672960], [[[1, 9], [2, 3], [4, 1], [10, 1], [14, 1]], 1/206438400], [[[1, 9], [2, 3], [4, 2], [5, 1], [6, 2]], 53/116121600], [[[1, 9], [2, 3], [4, 2], [5, 1], [8, 1]], 277/4838400], [[[1, 9], [2, 3], [4, 2], [5, 1], [10, 1]], 4009/516096000], [[[1, 9], [2, 3], [4, 2], [5, 1], [12, 1]], 383/174182400], [[[1, 9], [2, 3], [4, 2], [6, 1], [7, 1]], 1339/139345920], [[[1, 9], [2, 3], [4, 2], [6, 1], [9, 1]], 1/9289728], [[[1, 9], [2, 3], [4, 2], [6, 1], [14, 1]], 1/61931520], [[[1, 9], [2, 3], [4, 2], [6, 1], [18, 1]], 1/26542080], [[[1, 9], [2, 3], [4, 2], [6, 2], [8, 1]], 1/20643840], [[[1, 9], [2, 3], [4, 2], [8, 1], [10, 1]], 121/464486400], [[[1, 9], [2, 3], [4, 2], [8, 1], [12, 1]], 29/139345920], [[[1, 9], [2, 3], [4, 3], [5, 1], [6, 1]], 23/3483648], [[[1, 9], [2, 3], [4, 3], [6, 1], [8, 1]], 1579/557383680], [[[1, 9], [2, 3], [4, 3], [6, 1], [10, 1]], 1/41287680], [[[1, 9], [2, 3], [4, 3], [6, 1], [12, 1]], 67/1486356480], [[[1, 9], [2, 3], [5, 1], [6, 1], [7, 1]], 89/8709120], [[[1, 9], [2, 3], [5, 1], [6, 1], [9, 1]], 1/4838400], [[[1, 9], [2, 3], [5, 1], [6, 2], [8, 1]], 1/17418240], [[[1, 9], [2, 3], [5, 1], [6, 2], [10, 1]], 13/597196800], [[[1, 9], [2, 3], [5, 1], [8, 1], [10, 1]], 131/129024000], [[[1, 9], [2, 3], [6, 1], [7, 1], [8, 1]], 23/27869184], [[[1, 9], [2, 3], [6, 1], [8, 1], [9, 1]], 1/139345920], [[[1, 9], [2, 5], [3, 1], [4, 1], [6, 3]], 505/127401984], [[[1, 9], [2, 5], [3, 1], [4, 1], [7, 1]], 1718279/16721510400], [[[1, 9], [2, 5], [3, 1], [4, 1], [9, 1]], 1559209/50164531200], [[[1, 9], [2, 5], [3, 1], [4, 1], [14, 1]], 1/1935360], [[[1, 9], [2, 5], [3, 1], [4, 1], [18, 1]], 11/79626240], [[[1, 9], [2, 5], [3, 1], [4, 2], [5, 1]], 291593/1194393600], [[[1, 9], [2, 5], [3, 1], [4, 2], [6, 2]], 8473/222953472], [[[1, 9], [2, 5], [3, 1], [4, 2], [8, 1]], 29803/212336640], [[[1, 9], [2, 5], [3, 1], [4, 2], [10, 1]], 3439/232243200], [[[1, 9], [2, 5], [3, 1], [4, 2], [12, 1]], 653/61931520], [[[1, 9], [2, 5], [3, 1], [4, 3], [6, 1]], 217807/2229534720], [[[1, 9], [2, 5], [3, 1], [5, 1], [6, 2]], 1256057/50164531200], [[[1, 9], [2, 5], [3, 1], [5, 1], [8, 1]], 371/11943936], [[[1, 9], [2, 5], [3, 1], [5, 1], [10, 1]], 154597/5971968000], [[[1, 9], [2, 5], [3, 1], [5, 1], [12, 1]], 269/185794560], [[[1, 9], [2, 5], [3, 1], [6, 1], [7, 1]], 98657/2508226560], [[[1, 9], [2, 5], [3, 1], [6, 1], [9, 1]], 53633/7524679680], [[[1, 9], [2, 5], [3, 1], [6, 1], [14, 1]], 25/111476736], [[[1, 9], [2, 5], [3, 1], [6, 1], [18, 1]], 19/79626240], [[[1, 9], [2, 5], [3, 1], [6, 2], [8, 1]], 152057/40131624960], [[[1, 9], [2, 5], [3, 1], [6, 2], [10, 1]], 103/199065600], [[[1, 9], [2, 5], [3, 1], [6, 2], [12, 1]], 23/191102976], [[[1, 9], [2, 5], [3, 1], [8, 1], [10, 1]], 1/921600], [[[1, 9], [2, 5], [3, 1], [8, 1], [12, 1]], 1/9175040], [[[1, 9], [2, 5], [3, 1], [10, 1], [12, 1]], 1/16588800], [[[1, 9], [2, 5], [3, 2], [4, 1], [5, 1]], 46593493/250822656000], [[[1, 9], [2, 5], [3, 2], [4, 1], [6, 2]], 17377807/150493593600], [[[1, 9], [2, 5], [3, 2], [4, 1], [8, 1]], 341137/4013162496], [[[1, 9], [2, 5], [3, 2], [4, 1], [10, 1]], 4427/298598400], [[[1, 9], [2, 5], [3, 2], [4, 1], [12, 1]], 28243/2786918400], [[[1, 9], [2, 5], [3, 2], [4, 2], [6, 1]], 9853723/40131624960], [[[1, 9], [2, 5], [3, 2], [5, 1], [6, 1]], 450329/3135283200], [[[1, 9], [2, 5], [3, 2], [6, 1], [8, 1]], 9241693/240789749760], [[[1, 9], [2, 5], [3, 2], [6, 1], [10, 1]], 29581/3715891200], [[[1, 9], [2, 5], [3, 2], [6, 1], [12, 1]], 2341/1114767360], [[[1, 9], [2, 5], [3, 3], [4, 1], [6, 1]], 3550519/17199267840], [[[1, 9], [2, 5], [4, 1], [5, 1], [6, 2]], 923/174182400], [[[1, 9], [2, 5], [4, 1], [5, 1], [8, 1]], 358699/5573836800], [[[1, 9], [2, 5], [4, 1], [5, 1], [10, 1]], 45749/1548288000], [[[1, 9], [2, 5], [4, 1], [5, 1], [12, 1]], 683/348364800], [[[1, 9], [2, 5], [4, 1], [6, 1], [7, 1]], 2621/104509440], [[[1, 9], [2, 5], [4, 1], [6, 1], [9, 1]], 461/836075520], [[[1, 9], [2, 5], [4, 1], [6, 1], [14, 1]], 5/16515072], [[[1, 9], [2, 5], [4, 1], [6, 1], [18, 1]], 121/318504960], [[[1, 9], [2, 5], [4, 1], [6, 2], [8, 1]], 2821/1911029760], [[[1, 9], [2, 5], [4, 1], [6, 2], [10, 1]], 169/1592524800], [[[1, 9], [2, 5], [4, 1], [6, 2], [12, 1]], 1/26542080], [[[1, 9], [2, 5], [4, 1], [8, 1], [10, 1]], 1591/530841600], [[[1, 9], [2, 5], [4, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 9], [2, 5], [4, 2], [5, 1], [6, 1]], 32191/696729600], [[[1, 9], [2, 5], [4, 2], [6, 1], [8, 1]], 6841/297271296], [[[1, 9], [2, 5], [4, 2], [6, 1], [10, 1]], 163/132710400], [[[1, 9], [2, 5], [4, 2], [6, 1], [12, 1]], 53/106168320], [[[1, 9], [2, 5], [5, 1], [6, 1], [8, 1]], 2959/696729600], [[[1, 9], [2, 5], [5, 1], [6, 1], [10, 1]], 44087/11943936000], [[[1, 9], [2, 5], [6, 1], [8, 1], [10, 1]], 1/33177600], [[[1, 9], [2, 5], [6, 1], [8, 1], [12, 1]], 1/212336640], [[[1, 9], [2, 5], [6, 1], [10, 1], [12, 1]], 1/265420800], [[[1, 9], [2, 7], [3, 1], [4, 1], [5, 1]], 854549/14332723200], [[[1, 9], [2, 7], [3, 1], [4, 1], [6, 2]], 541355/10701766656], [[[1, 9], [2, 7], [3, 1], [4, 1], [8, 1]], 8121487/200658124800], [[[1, 9], [2, 7], [3, 1], [4, 1], [10, 1]], 10889/796262400], [[[1, 9], [2, 7], [3, 1], [4, 1], [12, 1]], 279233/133772083200], [[[1, 9], [2, 7], [3, 1], [4, 2], [6, 1]], 2455273/17836277760], [[[1, 9], [2, 7], [3, 1], [5, 1], [6, 1]], 3211039/100329062400], [[[1, 9], [2, 7], [3, 1], [6, 1], [8, 1]], 829/62705664], [[[1, 9], [2, 7], [3, 1], [6, 1], [10, 1]], 107299/15925248000], [[[1, 9], [2, 7], [3, 1], [6, 1], [12, 1]], 37/238878720], [[[1, 9], [2, 7], [3, 2], [4, 1], [6, 1]], 23932529/192631799808], [[[1, 9], [2, 7], [4, 1], [5, 1], [6, 1]], 100469/3981312000], [[[1, 9], [2, 7], [4, 1], [6, 1], [8, 1]], 62189/3822059520], [[[1, 9], [2, 7], [4, 1], [6, 1], [10, 1]], 593/127401984], [[[1, 9], [2, 7], [4, 1], [6, 1], [12, 1]], 1051/2548039680], [[[1, 9], [2, 9], [3, 1], [4, 1], [6, 1]], 577319/20065812480], [[[1, 10], [2, 2], [3, 1], [4, 1], [5, 2]], 12803/248832000], [[[1, 10], [2, 2], [3, 1], [4, 1], [8, 2]], 613/1114767360], [[[1, 10], [2, 2], [3, 1], [4, 1], [12, 2]], 1/2090188800], [[[1, 10], [2, 2], [3, 1], [4, 2], [6, 3]], 1/2229534720], [[[1, 10], [2, 2], [3, 1], [4, 2], [7, 1]], 4783/557383680], [[[1, 10], [2, 2], [3, 1], [4, 2], [9, 1]], 3961/1672151040], [[[1, 10], [2, 2], [3, 1], [4, 3], [5, 1]], 2921/557383680], [[[1, 10], [2, 2], [3, 1], [4, 3], [6, 2]], 5423/200658124800], [[[1, 10], [2, 2], [3, 1], [4, 3], [8, 1]], 1327/955514880], [[[1, 10], [2, 2], [3, 1], [4, 3], [10, 1]], 1/116121600], [[[1, 10], [2, 2], [3, 1], [4, 3], [12, 1]], 863/33443020800], [[[1, 10], [2, 2], [3, 1], [4, 4], [6, 1]], 83/716636160], [[[1, 10], [2, 2], [3, 1], [5, 1], [6, 3]], 1/1045094400], [[[1, 10], [2, 2], [3, 1], [5, 1], [7, 1]], 71413/2438553600], [[[1, 10], [2, 2], [3, 1], [5, 1], [9, 1]], 1417/261273600], [[[1, 10], [2, 2], [3, 1], [5, 2], [6, 1]], 129559/10450944000], [[[1, 10], [2, 2], [3, 1], [6, 1], [8, 2]], 1/418037760], [[[1, 10], [2, 2], [3, 1], [6, 2], [7, 1]], 5881/87787929600], [[[1, 10], [2, 2], [3, 1], [6, 2], [9, 1]], 1/313528320], [[[1, 10], [2, 2], [3, 1], [6, 3], [8, 1]], 1/25082265600], [[[1, 10], [2, 2], [3, 1], [7, 1], [8, 1]], 23/8128512], [[[1, 10], [2, 2], [3, 1], [7, 1], [10, 1]], 13/87091200], [[[1, 10], [2, 2], [3, 1], [7, 1], [12, 1]], 83/541900800], [[[1, 10], [2, 2], [3, 1], [8, 1], [9, 1]], 1/3265920], [[[1, 10], [2, 2], [3, 1], [9, 1], [10, 1]], 1/87091200], [[[1, 10], [2, 2], [3, 2], [4, 1], [6, 3]], 481/30098718720], [[[1, 10], [2, 2], [3, 2], [4, 1], [7, 1]], 36359/1463132160], [[[1, 10], [2, 2], [3, 2], [4, 1], [9, 1]], 1303/125411328], [[[1, 10], [2, 2], [3, 2], [4, 2], [5, 1]], 180913/8360755200], [[[1, 10], [2, 2], [3, 2], [4, 2], [6, 2]], 17/69672960], [[[1, 10], [2, 2], [3, 2], [4, 2], [8, 1]], 2819/557383680], [[[1, 10], [2, 2], [3, 2], [4, 2], [10, 1]], 173/1045094400], [[[1, 10], [2, 2], [3, 2], [4, 2], [12, 1]], 1021/2006581248], [[[1, 10], [2, 2], [3, 2], [4, 3], [6, 1]], 9481/7524679680], [[[1, 10], [2, 2], [3, 2], [5, 1], [6, 2]], 8137/4702924800], [[[1, 10], [2, 2], [3, 2], [5, 1], [8, 1]], 67/8164800], [[[1, 10], [2, 2], [3, 2], [5, 1], [10, 1]], 451/165888000], [[[1, 10], [2, 2], [3, 2], [5, 1], [12, 1]], 2549/2090188800], [[[1, 10], [2, 2], [3, 2], [6, 1], [7, 1]], 6397/731566080], [[[1, 10], [2, 2], [3, 2], [6, 1], [9, 1]], 4547/2821754880], [[[1, 10], [2, 2], [3, 2], [6, 2], [8, 1]], 473/15049359360], [[[1, 10], [2, 2], [3, 2], [6, 2], [10, 1]], 1/3135283200], [[[1, 10], [2, 2], [3, 2], [6, 2], [12, 1]], 1/1881169920], [[[1, 10], [2, 2], [3, 2], [8, 1], [12, 1]], 19/836075520], [[[1, 10], [2, 2], [3, 2], [10, 1], [12, 1]], 1/522547200], [[[1, 10], [2, 2], [3, 3], [4, 1], [5, 1]], 362119/8360755200], [[[1, 10], [2, 2], [3, 3], [4, 1], [6, 2]], 5179/4299816960], [[[1, 10], [2, 2], [3, 3], [4, 1], [8, 1]], 1097/148635648], [[[1, 10], [2, 2], [3, 3], [4, 1], [10, 1]], 5783/26873856000], [[[1, 10], [2, 2], [3, 3], [4, 1], [12, 1]], 348667/225740390400], [[[1, 10], [2, 2], [3, 3], [4, 2], [6, 1]], 31261/8599633920], [[[1, 10], [2, 2], [3, 3], [5, 1], [6, 1]], 18623/537477120], [[[1, 10], [2, 2], [3, 3], [6, 1], [8, 1]], 381401/225740390400], [[[1, 10], [2, 2], [3, 3], [6, 1], [12, 1]], 1531/3762339840], [[[1, 10], [2, 2], [3, 4], [4, 1], [6, 1]], 2793257/270888468480], [[[1, 10], [2, 2], [4, 1], [5, 1], [7, 1]], 27859/1625702400], [[[1, 10], [2, 2], [4, 1], [5, 1], [9, 1]], 79/116121600], [[[1, 10], [2, 2], [4, 1], [5, 2], [6, 1]], 179/116121600], [[[1, 10], [2, 2], [4, 1], [6, 1], [8, 2]], 1/477757440], [[[1, 10], [2, 2], [4, 1], [7, 1], [8, 1]], 863/650280960], [[[1, 10], [2, 2], [4, 1], [7, 1], [10, 1]], 23/870912000], [[[1, 10], [2, 2], [4, 1], [7, 1], [12, 1]], 23/522547200], [[[1, 10], [2, 2], [4, 1], [8, 1], [9, 1]], 1/18579456], [[[1, 10], [2, 2], [4, 1], [9, 1], [10, 1]], 1/2612736000], [[[1, 10], [2, 2], [4, 1], [9, 1], [12, 1]], 1/1567641600], [[[1, 10], [2, 2], [4, 2], [5, 1], [6, 2]], 1/49766400], [[[1, 10], [2, 2], [4, 2], [5, 1], [8, 1]], 121/26542080], [[[1, 10], [2, 2], [4, 2], [5, 1], [10, 1]], 623/3981312000], [[[1, 10], [2, 2], [4, 2], [5, 1], [12, 1]], 11/130636800], [[[1, 10], [2, 2], [4, 2], [6, 1], [7, 1]], 1117/1950842880], [[[1, 10], [2, 2], [4, 2], [6, 1], [9, 1]], 1/278691840], [[[1, 10], [2, 2], [4, 2], [8, 1], [10, 1]], 1/398131200], [[[1, 10], [2, 2], [4, 2], [8, 1], [12, 1]], 1/238878720], [[[1, 10], [2, 2], [4, 3], [5, 1], [6, 1]], 1/9289728], [[[1, 10], [2, 2], [4, 3], [6, 1], [8, 1]], 1/106168320], [[[1, 10], [2, 2], [5, 1], [6, 1], [7, 1]], 641/914457600], [[[1, 10], [2, 2], [5, 1], [6, 1], [9, 1]], 1/130636800], [[[1, 10], [2, 2], [5, 1], [8, 1], [10, 1]], 1/58060800], [[[1, 10], [2, 2], [6, 1], [7, 1], [8, 1]], 23/1045094400], [[[1, 10], [2, 2], [6, 1], [8, 1], [9, 1]], 1/3135283200], [[[1, 10], [2, 4], [3, 1], [4, 1], [6, 3]], 33847/200658124800], [[[1, 10], [2, 4], [3, 1], [4, 1], [7, 1]], 187771/3901685760], [[[1, 10], [2, 4], [3, 1], [4, 1], [9, 1]], 10669/1003290624], [[[1, 10], [2, 4], [3, 1], [4, 2], [5, 1]], 1806239/16721510400], [[[1, 10], [2, 4], [3, 1], [4, 2], [6, 2]], 212297/53508833280], [[[1, 10], [2, 4], [3, 1], [4, 2], [8, 1]], 33941/955514880], [[[1, 10], [2, 4], [3, 1], [4, 2], [10, 1]], 839/522547200], [[[1, 10], [2, 4], [3, 1], [4, 2], [12, 1]], 168977/80263249920], [[[1, 10], [2, 4], [3, 1], [4, 3], [6, 1]], 1462583/100329062400], [[[1, 10], [2, 4], [3, 1], [5, 1], [6, 2]], 224591/50164531200], [[[1, 10], [2, 4], [3, 1], [5, 1], [8, 1]], 6533/464486400], [[[1, 10], [2, 4], [3, 1], [5, 1], [10, 1]], 15671/2322432000], [[[1, 10], [2, 4], [3, 1], [5, 1], [12, 1]], 1613/2786918400], [[[1, 10], [2, 4], [3, 1], [6, 1], [7, 1]], 275083/21946982400], [[[1, 10], [2, 4], [3, 1], [6, 1], [9, 1]], 613/418037760], [[[1, 10], [2, 4], [3, 1], [6, 1], [14, 1]], 1/185794560], [[[1, 10], [2, 4], [3, 1], [6, 1], [18, 1]], 1/238878720], [[[1, 10], [2, 4], [3, 1], [6, 2], [8, 1]], 23791/100329062400], [[[1, 10], [2, 4], [3, 1], [6, 2], [10, 1]], 1/278691840], [[[1, 10], [2, 4], [3, 1], [6, 2], [12, 1]], 11/2229534720], [[[1, 10], [2, 4], [3, 1], [8, 1], [10, 1]], 1/9676800], [[[1, 10], [2, 4], [3, 1], [8, 1], [12, 1]], 383/16721510400], [[[1, 10], [2, 4], [3, 1], [10, 1], [12, 1]], 1/154828800], [[[1, 10], [2, 4], [3, 2], [4, 1], [5, 1]], 1533533/12541132800], [[[1, 10], [2, 4], [3, 2], [4, 1], [6, 2]], 182939/10032906240], [[[1, 10], [2, 4], [3, 2], [4, 1], [8, 1]], 21323/627056640], [[[1, 10], [2, 4], [3, 2], [4, 1], [10, 1]], 9811/3135283200], [[[1, 10], [2, 4], [3, 2], [4, 1], [12, 1]], 50879/15049359360], [[[1, 10], [2, 4], [3, 2], [4, 2], [6, 1]], 9812477/160526499840], [[[1, 10], [2, 4], [3, 2], [5, 1], [6, 1]], 93773/1343692800], [[[1, 10], [2, 4], [3, 2], [6, 1], [8, 1]], 9017/940584960], [[[1, 10], [2, 4], [3, 2], [6, 1], [10, 1]], 337/391910400], [[[1, 10], [2, 4], [3, 2], [6, 1], [12, 1]], 7157/15049359360], [[[1, 10], [2, 4], [3, 3], [4, 1], [6, 1]], 1173449/14108774400], [[[1, 10], [2, 4], [4, 1], [5, 1], [6, 2]], 683/1045094400], [[[1, 10], [2, 4], [4, 1], [5, 1], [8, 1]], 164627/8360755200], [[[1, 10], [2, 4], [4, 1], [5, 1], [10, 1]], 180127/37158912000], [[[1, 10], [2, 4], [4, 1], [5, 1], [12, 1]], 17/37324800], [[[1, 10], [2, 4], [4, 1], [6, 1], [7, 1]], 10429/2090188800], [[[1, 10], [2, 4], [4, 1], [6, 1], [9, 1]], 383/6270566400], [[[1, 10], [2, 4], [4, 1], [6, 1], [14, 1]], 1/247726080], [[[1, 10], [2, 4], [4, 1], [6, 1], [18, 1]], 1/106168320], [[[1, 10], [2, 4], [4, 1], [6, 2], [8, 1]], 647/13377208320], [[[1, 10], [2, 4], [4, 1], [8, 1], [10, 1]], 563/3715891200], [[[1, 10], [2, 4], [4, 1], [8, 1], [12, 1]], 1/61931520], [[[1, 10], [2, 4], [4, 2], [5, 1], [6, 1]], 1987/209018880], [[[1, 10], [2, 4], [4, 2], [6, 1], [8, 1]], 3163/1486356480], [[[1, 10], [2, 4], [4, 2], [6, 1], [10, 1]], 239/7431782400], [[[1, 10], [2, 4], [4, 2], [6, 1], [12, 1]], 223/8918138880], [[[1, 10], [2, 4], [5, 1], [6, 1], [8, 1]], 43/65318400], [[[1, 10], [2, 4], [5, 1], [6, 1], [10, 1]], 19529/83607552000], [[[1, 10], [2, 6], [3, 1], [4, 1], [5, 1]], 698543/10450944000], [[[1, 10], [2, 6], [3, 1], [4, 1], [6, 2]], 9622253/668860416000], [[[1, 10], [2, 6], [3, 1], [4, 1], [8, 1]], 10357903/401316249600], [[[1, 10], [2, 6], [3, 1], [4, 1], [10, 1]], 26533/5573836800], [[[1, 10], [2, 6], [3, 1], [4, 1], [12, 1]], 421619/334430208000], [[[1, 10], [2, 6], [3, 1], [4, 2], [6, 1]], 5747431/89181388800], [[[1, 10], [2, 6], [3, 1], [5, 1], [6, 1]], 256561/10032906240], [[[1, 10], [2, 6], [3, 1], [6, 1], [8, 1]], 1103687/200658124800], [[[1, 10], [2, 6], [3, 1], [6, 1], [10, 1]], 41561/33443020800], [[[1, 10], [2, 6], [3, 1], [6, 1], [12, 1]], 11/247726080], [[[1, 10], [2, 6], [3, 2], [4, 1], [6, 1]], 7743487/89181388800], [[[1, 10], [2, 6], [4, 1], [5, 1], [6, 1]], 5597/398131200], [[[1, 10], [2, 6], [4, 1], [6, 1], [8, 1]], 51559/13377208320], [[[1, 10], [2, 6], [4, 1], [6, 1], [10, 1]], 283/796262400], [[[1, 10], [2, 6], [4, 1], [6, 1], [12, 1]], 1081/19110297600], [[[1, 10], [2, 8], [3, 1], [4, 1], [6, 1]], 96545431/4013162496000], [[[1, 10], [3, 1], [4, 1], [7, 1], [8, 1]], 13/139345920], [[[1, 10], [3, 1], [4, 1], [8, 1], [9, 1]], 1/139345920], [[[1, 10], [3, 1], [4, 2], [5, 1], [6, 2]], 1/2786918400], [[[1, 10], [3, 1], [4, 2], [5, 1], [12, 1]], 1/464486400], [[[1, 10], [3, 2], [4, 1], [5, 1], [8, 1]], 691/2090188800], [[[1, 10], [3, 2], [4, 1], [6, 2], [8, 1]], 1/5016453120], [[[1, 10], [3, 2], [4, 1], [8, 1], [12, 1]], 1/836075520], [[[1, 11], [2, 1], [3, 1], [4, 1], [5, 2]], 1/248832], [[[1, 11], [2, 1], [3, 1], [4, 1], [8, 2]], 1/557383680], [[[1, 11], [2, 1], [3, 1], [4, 1], [12, 2]], 1/137952460800], [[[1, 11], [2, 1], [3, 1], [4, 2], [7, 1]], 1879/7315660800], [[[1, 11], [2, 1], [3, 1], [4, 2], [9, 1]], 1/37324800], [[[1, 11], [2, 1], [3, 1], [4, 3], [5, 1]], 2609/7166361600], [[[1, 11], [2, 1], [3, 1], [4, 3], [6, 2]], 743/13243436236800], [[[1, 11], [2, 1], [3, 1], [4, 3], [8, 1]], 31/668860416], [[[1, 11], [2, 1], [3, 1], [4, 3], [10, 1]], 1/4180377600], [[[1, 11], [2, 1], [3, 1], [4, 3], [12, 1]], 541/735746457600], [[[1, 11], [2, 1], [3, 1], [4, 4], [6, 1]], 1/637009920], [[[1, 11], [2, 1], [3, 1], [5, 1], [7, 1]], 313/87091200], [[[1, 11], [2, 1], [3, 1], [5, 1], [9, 1]], 47/104509440], [[[1, 11], [2, 1], [3, 1], [5, 2], [6, 1]], 3613/6967296000], [[[1, 11], [2, 1], [3, 1], [6, 2], [7, 1]], 43/29262643200], [[[1, 11], [2, 1], [3, 1], [6, 3], [8, 1]], 1/1655429529600], [[[1, 11], [2, 1], [3, 1], [7, 1], [8, 1]], 121/975421440], [[[1, 11], [2, 1], [3, 1], [7, 1], [12, 1]], 43/4877107200], [[[1, 11], [2, 1], [3, 1], [8, 1], [9, 1]], 1/139345920], [[[1, 11], [2, 1], [3, 2], [4, 1], [6, 3]], 1/15049359360], [[[1, 11], [2, 1], [3, 2], [4, 1], [7, 1]], 197/121927680], [[[1, 11], [2, 1], [3, 2], [4, 1], [9, 1]], 1957/3344302080], [[[1, 11], [2, 1], [3, 2], [4, 2], [5, 1]], 83/104509440], [[[1, 11], [2, 1], [3, 2], [4, 2], [6, 2]], 1/2786918400], [[[1, 11], [2, 1], [3, 2], [4, 2], [8, 1]], 29/278691840], [[[1, 11], [2, 1], [3, 2], [4, 2], [12, 1]], 1/464486400], [[[1, 11], [2, 1], [3, 2], [4, 3], [6, 1]], 11/1254113280], [[[1, 11], [2, 1], [3, 2], [5, 1], [6, 2]], 211/12541132800], [[[1, 11], [2, 1], [3, 2], [5, 1], [8, 1]], 989/2090188800], [[[1, 11], [2, 1], [3, 2], [5, 1], [10, 1]], 451/4180377600], [[[1, 11], [2, 1], [3, 2], [5, 1], [12, 1]], 211/2090188800], [[[1, 11], [2, 1], [3, 2], [6, 1], [7, 1]], 3421/8778792960], [[[1, 11], [2, 1], [3, 2], [6, 1], [9, 1]], 43/1254113280], [[[1, 11], [2, 1], [3, 2], [6, 2], [8, 1]], 1/10032906240], [[[1, 11], [2, 1], [3, 2], [8, 1], [12, 1]], 1/1672151040], [[[1, 11], [2, 1], [3, 3], [4, 1], [5, 1]], 12377/3135283200], [[[1, 11], [2, 1], [3, 3], [4, 1], [6, 2]], 17/2006581248], [[[1, 11], [2, 1], [3, 3], [4, 1], [8, 1]], 70997/171992678400], [[[1, 11], [2, 1], [3, 3], [4, 1], [10, 1]], 119681/12415721472000], [[[1, 11], [2, 1], [3, 3], [4, 1], [12, 1]], 124589/1862358220800], [[[1, 11], [2, 1], [3, 3], [4, 2], [6, 1]], 37/278691840], [[[1, 11], [2, 1], [3, 3], [5, 1], [6, 1]], 2869/1254113280], [[[1, 11], [2, 1], [3, 3], [6, 1], [8, 1]], 119681/14898865766400], [[[1, 11], [2, 1], [3, 3], [6, 1], [12, 1]], 1/78382080], [[[1, 11], [2, 1], [3, 4], [4, 1], [6, 1]], 14969/135444234240], [[[1, 11], [2, 1], [4, 1], [5, 1], [7, 1]], 38053/39016857600], [[[1, 11], [2, 1], [4, 1], [5, 1], [9, 1]], 1/43545600], [[[1, 11], [2, 1], [4, 1], [5, 2], [6, 1]], 1/15552000], [[[1, 11], [2, 1], [4, 1], [7, 1], [8, 1]], 11/464486400], [[[1, 11], [2, 1], [4, 1], [7, 1], [10, 1]], 1/1741824000], [[[1, 11], [2, 1], [4, 1], [7, 1], [12, 1]], 1/1045094400], [[[1, 11], [2, 1], [4, 1], [8, 1], [9, 1]], 19/16721510400], [[[1, 11], [2, 1], [4, 1], [9, 1], [10, 1]], 1/172440576000], [[[1, 11], [2, 1], [4, 1], [9, 1], [12, 1]], 1/103464345600], [[[1, 11], [2, 1], [4, 2], [5, 1], [8, 1]], 53/1393459200], [[[1, 11], [2, 1], [4, 2], [5, 1], [10, 1]], 1/696729600], [[[1, 11], [2, 1], [4, 3], [5, 1], [6, 1]], 1/232243200], [[[1, 11], [2, 1], [6, 1], [7, 1], [8, 1]], 1/2090188800], [[[1, 11], [2, 1], [6, 1], [8, 1], [9, 1]], 1/206928691200], [[[1, 11], [2, 3], [3, 1], [4, 1], [6, 3]], 383/413857382400], [[[1, 11], [2, 3], [3, 1], [4, 1], [7, 1]], 127951/11705057280], [[[1, 11], [2, 3], [3, 1], [4, 1], [9, 1]], 1609/928972800], [[[1, 11], [2, 3], [3, 1], [4, 2], [5, 1]], 171629/8360755200], [[[1, 11], [2, 3], [3, 1], [4, 2], [6, 2]], 16019/100329062400], [[[1, 11], [2, 3], [3, 1], [4, 2], [8, 1]], 1063/250822656], [[[1, 11], [2, 3], [3, 1], [4, 2], [10, 1]], 113/1492992000], [[[1, 11], [2, 3], [3, 1], [4, 2], [12, 1]], 251/1433272320], [[[1, 11], [2, 3], [3, 1], [4, 3], [6, 1]], 135209/157659955200], [[[1, 11], [2, 3], [3, 1], [5, 1], [6, 2]], 33539/125411328000], [[[1, 11], [2, 3], [3, 1], [5, 1], [8, 1]], 1273/447897600], [[[1, 11], [2, 3], [3, 1], [5, 1], [10, 1]], 5963/6967296000], [[[1, 11], [2, 3], [3, 1], [5, 1], [12, 1]], 793/6967296000], [[[1, 11], [2, 3], [3, 1], [6, 1], [7, 1]], 9497/5486745600], [[[1, 11], [2, 3], [3, 1], [6, 1], [9, 1]], 817/6270566400], [[[1, 11], [2, 3], [3, 1], [6, 2], [8, 1]], 22117/3310859059200], [[[1, 11], [2, 3], [3, 1], [6, 2], [10, 1]], 1/20901888000], [[[1, 11], [2, 3], [3, 1], [6, 2], [12, 1]], 1/12541132800], [[[1, 11], [2, 3], [3, 1], [8, 1], [10, 1]], 1/348364800], [[[1, 11], [2, 3], [3, 1], [8, 1], [12, 1]], 1213/551809843200], [[[1, 11], [2, 3], [3, 1], [10, 1], [12, 1]], 1/3483648000], [[[1, 11], [2, 3], [3, 2], [4, 1], [5, 1]], 962513/25082265600], [[[1, 11], [2, 3], [3, 2], [4, 1], [6, 2]], 670799/601974374400], [[[1, 11], [2, 3], [3, 2], [4, 1], [8, 1]], 61337/10032906240], [[[1, 11], [2, 3], [3, 2], [4, 1], [10, 1]], 2531/10450944000], [[[1, 11], [2, 3], [3, 2], [4, 1], [12, 1]], 1289/2508226560], [[[1, 11], [2, 3], [3, 2], [4, 2], [6, 1]], 2981/522547200], [[[1, 11], [2, 3], [3, 2], [5, 1], [6, 1]], 96377/6270566400], [[[1, 11], [2, 3], [3, 2], [6, 1], [8, 1]], 1537/1567641600], [[[1, 11], [2, 3], [3, 2], [6, 1], [10, 1]], 13/391910400], [[[1, 11], [2, 3], [3, 2], [6, 1], [12, 1]], 139/2786918400], [[[1, 11], [2, 3], [3, 3], [4, 1], [6, 1]], 15184423/1064204697600], [[[1, 11], [2, 3], [4, 1], [5, 1], [6, 2]], 1/39191040], [[[1, 11], [2, 3], [4, 1], [5, 1], [8, 1]], 7529/2786918400], [[[1, 11], [2, 3], [4, 1], [5, 1], [10, 1]], 29831/92897280000], [[[1, 11], [2, 3], [4, 1], [5, 1], [12, 1]], 37/746496000], [[[1, 11], [2, 3], [4, 1], [6, 1], [7, 1]], 1223/2926264320], [[[1, 11], [2, 3], [4, 1], [6, 1], [9, 1]], 163/51732172800], [[[1, 11], [2, 3], [4, 1], [6, 2], [8, 1]], 47/50164531200], [[[1, 11], [2, 3], [4, 1], [8, 1], [10, 1]], 41/13934592000], [[[1, 11], [2, 3], [4, 1], [8, 1], [12, 1]], 1/1393459200], [[[1, 11], [2, 3], [4, 2], [5, 1], [6, 1]], 883/1045094400], [[[1, 11], [2, 3], [4, 2], [6, 1], [8, 1]], 1/13271040], [[[1, 11], [2, 3], [4, 2], [6, 1], [10, 1]], 1/3483648000], [[[1, 11], [2, 3], [4, 2], [6, 1], [12, 1]], 1/2090188800], [[[1, 11], [2, 3], [5, 1], [6, 1], [8, 1]], 439/10450944000], [[[1, 11], [2, 3], [5, 1], [6, 1], [10, 1]], 1/261273600], [[[1, 11], [2, 5], [3, 1], [4, 1], [5, 1]], 19321607/501645312000], [[[1, 11], [2, 5], [3, 1], [4, 1], [6, 2]], 276684319/132434362368000], [[[1, 11], [2, 5], [3, 1], [4, 1], [8, 1]], 259031/28665446400], [[[1, 11], [2, 5], [3, 1], [4, 1], [10, 1]], 4651/5016453120], [[[1, 11], [2, 5], [3, 1], [4, 1], [12, 1]], 25043797/66217181184000], [[[1, 11], [2, 5], [3, 1], [4, 2], [6, 1]], 275893/17836277760], [[[1, 11], [2, 5], [3, 1], [5, 1], [6, 1]], 1759579/167215104000], [[[1, 11], [2, 5], [3, 1], [6, 1], [8, 1]], 8013347/6621718118400], [[[1, 11], [2, 5], [3, 1], [6, 1], [10, 1]], 43577/334430208000], [[[1, 11], [2, 5], [3, 1], [6, 1], [12, 1]], 173/25082265600], [[[1, 11], [2, 5], [3, 2], [4, 1], [6, 1]], 153047047/4815794995200], [[[1, 11], [2, 5], [4, 1], [5, 1], [6, 1]], 471437/125411328000], [[[1, 11], [2, 5], [4, 1], [6, 1], [8, 1]], 40643/80263249920], [[[1, 11], [2, 5], [4, 1], [6, 1], [10, 1]], 323/22295347200], [[[1, 11], [2, 5], [4, 1], [6, 1], [12, 1]], 383/89181388800], [[[1, 11], [2, 7], [3, 1], [4, 1], [6, 1]], 1780286833/132434362368000], [[[1, 12], [2, 2], [3, 1], [4, 1], [6, 3]], 17/1655429529600], [[[1, 12], [2, 2], [3, 1], [4, 1], [7, 1]], 261137/234101145600], [[[1, 12], [2, 2], [3, 1], [4, 1], [9, 1]], 451/3715891200], [[[1, 12], [2, 2], [3, 1], [4, 2], [5, 1]], 479027/334430208000], [[[1, 12], [2, 2], [3, 1], [4, 2], [6, 2]], 2957/3783838924800], [[[1, 12], [2, 2], [3, 1], [4, 2], [8, 1]], 377/1911029760], [[[1, 12], [2, 2], [3, 1], [4, 2], [10, 1]], 1/497664000], [[[1, 12], [2, 2], [3, 1], [4, 2], [12, 1]], 21403/4414478745600], [[[1, 12], [2, 2], [3, 1], [4, 3], [6, 1]], 64403/3310859059200], [[[1, 12], [2, 2], [3, 1], [5, 1], [6, 2]], 2117/517321728000], [[[1, 12], [2, 2], [3, 1], [5, 1], [8, 1]], 143/597196800], [[[1, 12], [2, 2], [3, 1], [5, 1], [10, 1]], 1291/27869184000], [[[1, 12], [2, 2], [3, 1], [5, 1], [12, 1]], 89/8211456000], [[[1, 12], [2, 2], [3, 1], [6, 1], [7, 1]], 37483/386266890240], [[[1, 12], [2, 2], [3, 1], [6, 1], [9, 1]], 2239/496628858880], [[[1, 12], [2, 2], [3, 1], [6, 2], [8, 1]], 53/472979865600], [[[1, 12], [2, 2], [3, 1], [6, 2], [10, 1]], 1/1379524608000], [[[1, 12], [2, 2], [3, 1], [6, 2], [12, 1]], 1/827714764800], [[[1, 12], [2, 2], [3, 1], [8, 1], [12, 1]], 17/183936614400], [[[1, 12], [2, 2], [3, 1], [10, 1], [12, 1]], 1/229920768000], [[[1, 12], [2, 2], [3, 2], [4, 1], [5, 1]], 3133/597196800], [[[1, 12], [2, 2], [3, 2], [4, 1], [6, 2]], 3551/150493593600], [[[1, 12], [2, 2], [3, 2], [4, 1], [8, 1]], 11093/22295347200], [[[1, 12], [2, 2], [3, 2], [4, 1], [10, 1]], 1103/172440576000], [[[1, 12], [2, 2], [3, 2], [4, 1], [12, 1]], 28327/827714764800], [[[1, 12], [2, 2], [3, 2], [4, 2], [6, 1]], 793/4926873600], [[[1, 12], [2, 2], [3, 2], [5, 1], [6, 1]], 7151/5016453120], [[[1, 12], [2, 2], [3, 2], [6, 1], [8, 1]], 901/25866086400], [[[1, 12], [2, 2], [3, 2], [6, 1], [12, 1]], 307/132434362368], [[[1, 12], [2, 2], [3, 3], [4, 1], [6, 1]], 7110889/8513637580800], [[[1, 12], [2, 2], [4, 1], [5, 1], [8, 1]], 8641/55738368000], [[[1, 12], [2, 2], [4, 1], [5, 1], [10, 1]], 13669/2043740160000], [[[1, 12], [2, 2], [4, 1], [5, 1], [12, 1]], 23/9580032000], [[[1, 12], [2, 2], [4, 1], [6, 1], [7, 1]], 71/4877107200], [[[1, 12], [2, 2], [4, 1], [6, 1], [9, 1]], 17/206928691200], [[[1, 12], [2, 2], [4, 1], [6, 2], [8, 1]], 1/275904921600], [[[1, 12], [2, 2], [4, 1], [8, 1], [10, 1]], 1/153280512000], [[[1, 12], [2, 2], [4, 1], [8, 1], [12, 1]], 1/91968307200], [[[1, 12], [2, 2], [4, 2], [5, 1], [6, 1]], 61/2090188800], [[[1, 12], [2, 2], [4, 2], [6, 1], [8, 1]], 47/33443020800], [[[1, 12], [2, 2], [4, 2], [6, 1], [10, 1]], 1/229920768000], [[[1, 12], [2, 2], [4, 2], [6, 1], [12, 1]], 1/137952460800], [[[1, 12], [2, 2], [5, 1], [6, 1], [8, 1]], 23/19160064000], [[[1, 12], [2, 4], [3, 1], [4, 1], [5, 1]], 1452893/125411328000], [[[1, 12], [2, 4], [3, 1], [4, 1], [6, 2]], 52783/367873228800], [[[1, 12], [2, 4], [3, 1], [4, 1], [8, 1]], 65923/40131624960], [[[1, 12], [2, 4], [3, 1], [4, 1], [10, 1]], 2629/31352832000], [[[1, 12], [2, 4], [3, 1], [4, 1], [12, 1]], 19373/331085905920], [[[1, 12], [2, 4], [3, 1], [4, 2], [6, 1]], 23106289/13243436236800], [[[1, 12], [2, 4], [3, 1], [5, 1], [6, 1]], 8942233/4138573824000], [[[1, 12], [2, 4], [3, 1], [6, 1], [8, 1]], 218509/1655429529600], [[[1, 12], [2, 4], [3, 1], [6, 1], [10, 1]], 761/114960384000], [[[1, 12], [2, 4], [3, 1], [6, 1], [12, 1]], 941/1655429529600], [[[1, 12], [2, 4], [3, 2], [4, 1], [6, 1]], 4741069/827714764800], [[[1, 12], [2, 4], [4, 1], [5, 1], [6, 1]], 35729/76640256000], [[[1, 12], [2, 4], [4, 1], [6, 1], [8, 1]], 2639/78829977600], [[[1, 12], [2, 4], [4, 1], [6, 1], [10, 1]], 1/2612736000], [[[1, 12], [2, 4], [4, 1], [6, 1], [12, 1]], 1/6270566400], [[[1, 12], [2, 6], [3, 1], [4, 1], [6, 1]], 7671551/1765791498240], [[[1, 12], [3, 1], [4, 1], [5, 1], [8, 1]], 43/8360755200], [[[1, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 1/2207239372800], [[[1, 12], [3, 1], [4, 1], [8, 1], [12, 1]], 1/367873228800], [[[1, 13], [2, 1], [3, 1], [4, 1], [6, 3]], 1/6621718118400], [[[1, 13], [2, 1], [3, 1], [4, 1], [7, 1]], 3209/78033715200], [[[1, 13], [2, 1], [3, 1], [4, 1], [9, 1]], 589/220723937280], [[[1, 13], [2, 1], [3, 1], [4, 2], [5, 1]], 809/38320128000], [[[1, 13], [2, 1], [3, 1], [4, 2], [6, 2]], 1/735746457600], [[[1, 13], [2, 1], [3, 1], [4, 2], [8, 1]], 37/29429858304], [[[1, 13], [2, 1], [3, 1], [4, 2], [12, 1]], 1/122624409600], [[[1, 13], [2, 1], [3, 1], [4, 3], [6, 1]], 37/367873228800], [[[1, 13], [2, 1], [3, 1], [5, 1], [6, 2]], 433/5518098432000], [[[1, 13], [2, 1], [3, 1], [5, 1], [8, 1]], 1/149299200], [[[1, 13], [2, 1], [3, 1], [5, 1], [10, 1]], 13/16721510400], [[[1, 13], [2, 1], [3, 1], [5, 1], [12, 1]], 433/919683072000], [[[1, 13], [2, 1], [3, 1], [6, 1], [7, 1]], 557/386266890240], [[[1, 13], [2, 1], [3, 1], [6, 1], [9, 1]], 41/827714764800], [[[1, 13], [2, 1], [3, 1], [6, 2], [8, 1]], 1/4414478745600], [[[1, 13], [2, 1], [3, 1], [8, 1], [12, 1]], 1/735746457600], [[[1, 13], [2, 1], [3, 2], [4, 1], [5, 1]], 8213/33443020800], [[[1, 13], [2, 1], [3, 2], [4, 1], [6, 2]], 1/11036196864], [[[1, 13], [2, 1], [3, 2], [4, 1], [8, 1]], 35059/2207239372800], [[[1, 13], [2, 1], [3, 2], [4, 1], [10, 1]], 149/1034643456000], [[[1, 13], [2, 1], [3, 2], [4, 1], [12, 1]], 139/177367449600], [[[1, 13], [2, 1], [3, 2], [4, 2], [6, 1]], 137/55180984320], [[[1, 13], [2, 1], [3, 2], [5, 1], [6, 1]], 79/1791590400], [[[1, 13], [2, 1], [3, 2], [6, 1], [8, 1]], 149/1241572147200], [[[1, 13], [2, 1], [3, 2], [6, 1], [12, 1]], 41/1103619686400], [[[1, 13], [2, 1], [3, 3], [4, 1], [6, 1]], 325601/59595463065600], [[[1, 13], [2, 1], [4, 1], [5, 1], [8, 1]], 1817/613122048000], [[[1, 13], [2, 1], [4, 1], [5, 1], [10, 1]], 1/41057280000], [[[1, 13], [2, 1], [4, 1], [5, 1], [12, 1]], 1/24634368000], [[[1, 13], [2, 1], [4, 1], [6, 1], [7, 1]], 23/80472268800], [[[1, 13], [2, 1], [4, 1], [6, 1], [9, 1]], 1/827714764800], [[[1, 13], [2, 1], [4, 2], [6, 1], [8, 1]], 1/315319910400], [[[1, 13], [2, 1], [5, 1], [6, 1], [8, 1]], 1/49268736000], [[[1, 13], [2, 3], [3, 1], [4, 1], [5, 1]], 1766603/1003290624000], [[[1, 13], [2, 3], [3, 1], [4, 1], [6, 2]], 49213/10594748989440], [[[1, 13], [2, 3], [3, 1], [4, 1], [8, 1]], 60947/401316249600], [[[1, 13], [2, 3], [3, 1], [4, 1], [10, 1]], 71/22992076800], [[[1, 13], [2, 3], [3, 1], [4, 1], [12, 1]], 40993/8828957491200], [[[1, 13], [2, 3], [3, 1], [4, 2], [6, 1]], 3881/46714060800], [[[1, 13], [2, 3], [3, 1], [5, 1], [6, 1]], 2368757/11036196864000], [[[1, 13], [2, 3], [3, 1], [6, 1], [8, 1]], 593/88289574912], [[[1, 13], [2, 3], [3, 1], [6, 1], [10, 1]], 1/8622028800], [[[1, 13], [2, 3], [3, 1], [6, 1], [12, 1]], 1/45984153600], [[[1, 13], [2, 3], [3, 2], [4, 1], [6, 1]], 4695331/9932577177600], [[[1, 13], [2, 3], [4, 1], [5, 1], [6, 1]], 18547/689762304000], [[[1, 13], [2, 3], [4, 1], [6, 1], [8, 1]], 247/275904921600], [[[1, 13], [2, 3], [4, 1], [6, 1], [10, 1]], 1/172440576000], [[[1, 13], [2, 3], [4, 1], [6, 1], [12, 1]], 1/413857382400], [[[1, 13], [2, 5], [3, 1], [4, 1], [6, 1]], 10042787/13243436236800], [[[1, 14], [2, 2], [3, 1], [4, 1], [5, 1]], 113647/919683072000], [[[1, 14], [2, 2], [3, 1], [4, 1], [6, 2]], 37/481579499520], [[[1, 14], [2, 2], [3, 1], [4, 1], [8, 1]], 817/122624409600], [[[1, 14], [2, 2], [3, 1], [4, 1], [10, 1]], 17/344881152000], [[[1, 14], [2, 2], [3, 1], [4, 1], [12, 1]], 211/1203948748800], [[[1, 14], [2, 2], [3, 1], [4, 2], [6, 1]], 1757/1261279641600], [[[1, 14], [2, 2], [3, 1], [5, 1], [6, 1]], 366691/38626689024000], [[[1, 14], [2, 2], [3, 1], [6, 1], [8, 1]], 881/6621718118400], [[[1, 14], [2, 2], [3, 1], [6, 1], [12, 1]], 1/3310859059200], [[[1, 14], [2, 2], [3, 2], [4, 1], [6, 1]], 147437/9932577177600], [[[1, 14], [2, 2], [4, 1], [5, 1], [6, 1]], 431/551809843200], [[[1, 14], [2, 2], [4, 1], [6, 1], [8, 1]], 1/133772083200], [[[1, 14], [2, 4], [3, 1], [4, 1], [6, 1]], 67913/980995276800], [[[1, 15], [2, 1], [3, 1], [4, 1], [5, 1]], 2251/735746457600], [[[1, 15], [2, 1], [3, 1], [4, 1], [6, 2]], 1/4577977958400], [[[1, 15], [2, 1], [3, 1], [4, 1], [8, 1]], 499/4414478745600], [[[1, 15], [2, 1], [3, 1], [4, 1], [10, 1]], 17/24831442944000], [[[1, 15], [2, 1], [3, 1], [4, 1], [12, 1]], 4091/1668672965836800], [[[1, 15], [2, 1], [3, 1], [4, 2], [6, 1]], 29/3783838924800], [[[1, 15], [2, 1], [3, 1], [5, 1], [6, 1]], 10861/77253378048000], [[[1, 15], [2, 1], [3, 1], [6, 1], [8, 1]], 17/29797731532800], [[[1, 15], [2, 1], [3, 2], [4, 1], [6, 1]], 739/9932577177600], [[[1, 15], [2, 1], [4, 1], [5, 1], [6, 1]], 239/19313344512000], [[[1, 15], [2, 3], [3, 1], [4, 1], [6, 1]], 472439/151697542348800], [[[1, 16], [2, 2], [3, 1], [4, 1], [6, 1]], 99503/1668672965836800], [[[1, 17], [2, 1], [3, 1], [4, 1], [6, 1]], 281/834336482918400], [[[2, 2], [3, 2], [4, 2], [6, 1], [12, 3]], 1/3456], [[[2, 2], [3, 2], [4, 2], [6, 2], [22, 1]], 1/152064], [[[2, 2], [3, 2], [4, 2], [6, 3], [12, 2]], 1/20736], [[[2, 2], [3, 2], [4, 2], [6, 4], [18, 1]], 1/373248], [[[2, 2], [3, 2], [4, 4], [6, 1], [12, 2]], 1/110592], [[[2, 2], [3, 2], [4, 4], [6, 3], [12, 1]], 1/663552], [[[2, 2], [3, 2], [6, 1], [10, 1], [14, 2]], 1/35280], [[[2, 2], [3, 2], [6, 1], [14, 1], [22, 1]], 1/11088], [[[2, 2], [3, 2], [6, 3], [14, 1], [18, 1]], 1/27216], [[[2, 2], [3, 4], [4, 2], [6, 1], [12, 2]], 1/186624], [[[2, 2], [3, 4], [4, 4], [6, 1], [12, 1]], 1/5971968], [[[2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 1/15552], [[[2, 2], [4, 1], [6, 3], [8, 1], [22, 1]], 1/456192], [[[2, 2], [4, 1], [6, 5], [8, 1], [18, 1]], 1/1119744], [[[2, 2], [4, 1], [8, 1], [18, 1], [22, 1]], 1/6336], [[[2, 2], [4, 2], [6, 1], [18, 1], [22, 1]], 1/19008], [[[2, 2], [4, 2], [6, 2], [12, 1], [22, 1]], 1/25344], [[[2, 2], [4, 2], [6, 4], [10, 1], [14, 1]], 1/4354560], [[[2, 2], [4, 2], [6, 4], [12, 1], [18, 1]], 1/62208], [[[2, 2], [6, 1], [10, 1], [12, 1], [14, 2]], 1/5880], [[[2, 2], [6, 1], [12, 1], [14, 1], [22, 1]], 1/1848], [[[2, 2], [6, 3], [12, 1], [14, 1], [18, 1]], 1/4536], [[[2, 4], [3, 2], [4, 1], [6, 5], [8, 1]], 1/8957952], [[[2, 4], [3, 2], [4, 2], [6, 1], [22, 1]], 1/1216512], [[[2, 4], [3, 2], [4, 2], [6, 2], [10, 2]], 1/1382400], [[[2, 4], [3, 2], [4, 2], [6, 2], [12, 2]], 11/82944], [[[2, 4], [3, 2], [4, 2], [6, 3], [14, 1]], 1/580608], [[[2, 4], [3, 2], [4, 2], [6, 3], [18, 1]], 5/2985984], [[[2, 4], [3, 2], [4, 2], [6, 4], [10, 1]], 1/1244160], [[[2, 4], [3, 2], [4, 2], [6, 4], [12, 1]], 1/165888], [[[2, 4], [3, 2], [4, 4], [6, 2], [12, 1]], 1/331776], [[[2, 4], [3, 2], [6, 1], [10, 1], [22, 1]], 1/63360], [[[2, 4], [3, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[2, 4], [3, 2], [6, 2], [14, 1], [18, 1]], 1/54432], [[[2, 4], [3, 2], [6, 3], [10, 1], [14, 1]], 1/72576], [[[2, 4], [3, 2], [6, 3], [10, 1], [18, 1]], 1/155520], [[[2, 4], [3, 4], [4, 2], [6, 2], [12, 1]], 1/1492992], [[[2, 4], [4, 1], [6, 1], [8, 1], [18, 2]], 1/31104], [[[2, 4], [4, 1], [6, 2], [8, 1], [22, 1]], 1/76032], [[[2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/4147200], [[[2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 1/1741824], [[[2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 5/746496], [[[2, 4], [4, 1], [6, 5], [8, 1], [10, 1]], 1/3732480], [[[2, 4], [4, 1], [6, 5], [8, 1], [12, 1]], 1/1492992], [[[2, 4], [4, 1], [8, 1], [10, 1], [22, 1]], 1/7040], [[[2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/22400], [[[2, 4], [4, 1], [8, 1], [10, 2], [18, 1]], 1/57600], [[[2, 4], [4, 2], [6, 1], [10, 1], [22, 1]], 1/21120], [[[2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 1/172800], [[[2, 4], [4, 2], [6, 1], [12, 1], [22, 1]], 1/202752], [[[2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 1/230400], [[[2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/24192], [[[2, 4], [4, 2], [6, 3], [10, 1], [14, 1]], 7/4976640], [[[2, 4], [4, 2], [6, 3], [10, 1], [18, 1]], 1/38880], [[[2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 1/96768], [[[2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 5/497664], [[[2, 4], [4, 2], [6, 4], [10, 1], [12, 1]], 1/207360], [[[2, 4], [4, 2], [10, 1], [14, 1], [18, 1]], 1/483840], [[[2, 4], [4, 3], [6, 2], [8, 1], [18, 1]], 1/165888], [[[2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/215040], [[[2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/645120], [[[2, 4], [6, 1], [10, 1], [12, 1], [22, 1]], 1/10560], [[[2, 4], [6, 1], [10, 2], [12, 1], [14, 1]], 1/11200], [[[2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 17/45360], [[[2, 4], [6, 2], [12, 1], [14, 1], [18, 1]], 1/9072], [[[2, 4], [6, 3], [10, 1], [12, 1], [14, 1]], 1/12096], [[[2, 4], [6, 3], [10, 1], [12, 1], [18, 1]], 1/25920], [[[2, 6], [3, 2], [4, 1], [6, 4], [8, 1]], 1/4478976], [[[2, 6], [3, 2], [4, 2], [6, 1], [10, 2]], 1/11059200], [[[2, 6], [3, 2], [4, 2], [6, 1], [12, 2]], 1/2211840], [[[2, 6], [3, 2], [4, 2], [6, 2], [14, 1]], 1/3317760], [[[2, 6], [3, 2], [4, 2], [6, 2], [18, 1]], 1/5971968], [[[2, 6], [3, 2], [4, 2], [6, 3], [10, 1]], 1/3317760], [[[2, 6], [3, 2], [4, 2], [6, 3], [12, 1]], 161/13271040], [[[2, 6], [3, 2], [6, 2], [10, 1], [14, 1]], 41/5806080], [[[2, 6], [3, 2], [6, 2], [10, 1], [18, 1]], 1/311040], [[[2, 6], [3, 4], [4, 2], [6, 1], [12, 1]], 1/119439360], [[[2, 6], [4, 1], [6, 1], [8, 1], [22, 1]], 1/152064], [[[2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 13/691200], [[[2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 121/34836480], [[[2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 1/139968], [[[2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 37/14929920], [[[2, 6], [4, 1], [6, 4], [8, 1], [12, 1]], 1/746496], [[[2, 6], [4, 1], [8, 1], [14, 1], [18, 1]], 1/483840], [[[2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 1/1843200], [[[2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 47/2903040], [[[2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 137/5806080], [[[2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/51840], [[[2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 1/552960], [[[2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 1/995328], [[[2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 1/552960], [[[2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048], [[[2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 1/331776], [[[2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/552960], [[[2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 137/725760], [[[2, 6], [6, 2], [10, 1], [12, 1], [14, 1]], 41/967680], [[[2, 6], [6, 2], [10, 1], [12, 1], [18, 1]], 1/51840], [[[2, 8], [3, 2], [4, 1], [6, 3], [8, 1]], 1/59719680], [[[2, 8], [3, 2], [4, 2], [6, 1], [14, 1]], 1/92897280], [[[2, 8], [3, 2], [4, 2], [6, 2], [10, 1]], 13/464486400], [[[2, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1/6635520], [[[2, 8], [3, 2], [6, 1], [10, 1], [14, 1]], 401/1625702400], [[[2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 7/1382400], [[[2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 11/5806080], [[[2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 133/89579520], [[[2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 2941/1045094400], [[[2, 8], [4, 1], [6, 3], [8, 1], [12, 1]], 1/9953280], [[[2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 31/16588800], [[[2, 8], [4, 1], [8, 1], [10, 1], [18, 1]], 1/14515200], [[[2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 47/6220800], [[[2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 223/58060800], [[[2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 1/15482880], [[[2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 13/77414400], [[[2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2211840], [[[2, 8], [6, 1], [10, 1], [12, 1], [14, 1]], 401/270950400], [[[2, 10], [3, 2], [4, 1], [6, 2], [8, 1]], 1/5016453120], [[[2, 10], [3, 2], [4, 2], [6, 1], [10, 1]], 1/2786918400], [[[2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 13/139345920], [[[2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1/139345920], [[[2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 691/2090188800], [[[2, 10], [4, 1], [6, 2], [8, 1], [12, 1]], 1/836075520], [[[2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 1/464486400], [[[2, 12], [3, 2], [4, 1], [6, 1], [8, 1]], 1/2207239372800], [[[2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 43/8360755200], [[[2, 12], [4, 1], [6, 1], [8, 1], [12, 1]], 1/367873228800], [[[1, 1], [2, 1], [3, 1], [4, 1], [11, 1], [12, 2]], 1/3168], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 2], [11, 1]], 1/608256], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 3], [12, 2]], 1/27648], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 5], [12, 1]], 1/1492992], [[[1, 1], [2, 1], [3, 1], [4, 3], [11, 1], [12, 1]], 1/101376], [[[1, 1], [2, 1], [3, 1], [6, 2], [8, 1], [18, 2]], 1/11664], [[[1, 1], [2, 1], [3, 1], [6, 3], [8, 1], [11, 1]], 1/38016], [[[1, 1], [2, 1], [3, 1], [6, 3], [8, 1], [22, 1]], 1/342144], [[[1, 1], [2, 1], [3, 1], [6, 5], [8, 1], [18, 1]], 1/839808], [[[1, 1], [2, 1], [3, 1], [8, 1], [18, 1], [22, 1]], 1/4752], [[[1, 1], [2, 1], [3, 2], [4, 1], [9, 2], [10, 1]], 1/9720], [[[1, 1], [2, 1], [3, 2], [4, 1], [9, 2], [12, 1]], 1/5832], [[[1, 1], [2, 1], [3, 2], [4, 3], [6, 1], [22, 1]], 1/608256], [[[1, 1], [2, 1], [3, 2], [4, 3], [6, 3], [18, 1]], 1/1492992], [[[1, 1], [2, 1], [3, 2], [6, 1], [8, 1], [9, 2]], 1/11664], [[[1, 1], [2, 1], [3, 3], [4, 1], [9, 1], [12, 2]], 1/7776], [[[1, 1], [2, 1], [3, 3], [4, 1], [10, 1], [11, 1]], 1/285120], [[[1, 1], [2, 1], [3, 3], [4, 1], [11, 1], [12, 1]], 1/171072], [[[1, 1], [2, 1], [3, 3], [4, 3], [5, 1], [7, 1]], 1/17418240], [[[1, 1], [2, 1], [3, 3], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 1], [2, 1], [3, 3], [4, 3], [6, 2], [9, 1]], 1/1492992], [[[1, 1], [2, 1], [3, 3], [4, 3], [6, 3], [12, 1]], 1/82944], [[[1, 1], [2, 1], [3, 3], [4, 3], [9, 1], [12, 1]], 1/248832], [[[1, 1], [2, 1], [3, 3], [6, 1], [8, 1], [11, 1]], 1/342144], [[[1, 1], [2, 1], [3, 3], [6, 1], [8, 1], [22, 1]], 1/38016], [[[1, 1], [2, 1], [3, 3], [6, 3], [8, 1], [9, 1]], 1/93312], [[[1, 1], [2, 1], [3, 3], [6, 3], [8, 1], [18, 1]], 1/93312], [[[1, 1], [2, 1], [3, 5], [4, 1], [9, 1], [10, 1]], 1/699840], [[[1, 1], [2, 1], [3, 5], [4, 1], [9, 1], [12, 1]], 1/419904], [[[1, 1], [2, 1], [3, 5], [4, 3], [6, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 1], [3, 5], [6, 1], [8, 1], [9, 1]], 1/839808], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 2], [18, 2]], 1/9720], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 3], [22, 1]], 1/285120], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 5], [18, 1]], 1/699840], [[[1, 1], [2, 1], [4, 1], [5, 1], [18, 1], [22, 1]], 1/3960], [[[1, 1], [2, 1], [4, 1], [6, 1], [12, 2], [22, 1]], 1/3168], [[[1, 1], [2, 1], [4, 1], [6, 2], [12, 1], [18, 2]], 1/5832], [[[1, 1], [2, 1], [4, 1], [6, 3], [12, 1], [22, 1]], 1/171072], [[[1, 1], [2, 1], [4, 1], [6, 3], [12, 2], [18, 1]], 1/7776], [[[1, 1], [2, 1], [4, 1], [6, 5], [12, 1], [18, 1]], 1/419904], [[[1, 1], [2, 1], [4, 1], [9, 1], [10, 1], [11, 1]], 1/3960], [[[1, 1], [2, 1], [4, 1], [9, 1], [11, 1], [12, 1]], 1/2376], [[[1, 1], [2, 1], [4, 1], [12, 1], [18, 1], [22, 1]], 1/2376], [[[1, 1], [2, 1], [4, 3], [5, 1], [7, 1], [9, 1]], 1/241920], [[[1, 1], [2, 1], [4, 3], [6, 1], [12, 1], [22, 1]], 1/101376], [[[1, 1], [2, 1], [4, 3], [6, 3], [10, 1], [14, 1]], 1/17418240], [[[1, 1], [2, 1], [4, 3], [6, 3], [12, 1], [18, 1]], 1/248832], [[[1, 1], [2, 1], [4, 3], [10, 1], [14, 1], [18, 1]], 1/241920], [[[1, 1], [2, 1], [6, 1], [8, 1], [9, 1], [11, 1]], 1/4752], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/46656], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [11, 1]], 1/152064], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [22, 1]], 1/1368576], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [12, 2]], 1/20736], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 5], [18, 1]], 1/3359232], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 6], [8, 1]], 1/4478976], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 6], [12, 1]], 1/1119744], [[[1, 1], [2, 3], [3, 1], [4, 1], [10, 1], [14, 2]], 1/5880], [[[1, 1], [2, 3], [3, 1], [4, 1], [14, 1], [22, 1]], 1/1848], [[[1, 1], [2, 3], [3, 1], [4, 1], [18, 1], [22, 1]], 1/19008], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 2], [22, 1]], 1/25344], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/110592], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 4], [18, 1]], 1/46656], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 5], [10, 1]], 1/3732480], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 5], [12, 1]], 1/248832], [[[1, 1], [2, 3], [3, 1], [4, 2], [8, 1], [22, 1]], 7/50688], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [11, 1]], 1/304128], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [22, 1]], 1/25344], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 65/221184], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 3], [18, 1]], 1/62208], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 4], [12, 1]], 49/11943936], [[[1, 1], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/9216], [[[1, 1], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 1/1769472], [[[1, 1], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/73728], [[[1, 1], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 1/294912], [[[1, 1], [2, 3], [3, 1], [6, 1], [8, 1], [18, 2]], 1/23328], [[[1, 1], [2, 3], [3, 1], [6, 1], [10, 1], [14, 2]], 1/5880], [[[1, 1], [2, 3], [3, 1], [6, 1], [14, 1], [22, 1]], 1/1848], [[[1, 1], [2, 3], [3, 1], [6, 1], [18, 1], [22, 1]], 1/2376], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [11, 1]], 17/304128], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [22, 1]], 1/57024], [[[1, 1], [2, 3], [3, 1], [6, 2], [12, 1], [22, 1]], 1/3168], [[[1, 1], [2, 3], [3, 1], [6, 3], [8, 1], [10, 2]], 1/3110400], [[[1, 1], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 1/3402], [[[1, 1], [2, 3], [3, 1], [6, 4], [8, 1], [14, 1]], 1/1306368], [[[1, 1], [2, 3], [3, 1], [6, 4], [8, 1], [18, 1]], 5/559872], [[[1, 1], [2, 3], [3, 1], [6, 4], [10, 1], [14, 1]], 1/181440], [[[1, 1], [2, 3], [3, 1], [6, 4], [12, 1], [14, 1]], 1/18144], [[[1, 1], [2, 3], [3, 1], [6, 4], [12, 1], [18, 1]], 1/7776], [[[1, 1], [2, 3], [3, 1], [6, 5], [8, 1], [10, 1]], 1/2799360], [[[1, 1], [2, 3], [3, 1], [6, 5], [8, 1], [12, 1]], 1/1119744], [[[1, 1], [2, 3], [3, 1], [8, 1], [10, 1], [22, 1]], 1/5280], [[[1, 1], [2, 3], [3, 1], [8, 1], [10, 2], [14, 1]], 1/16800], [[[1, 1], [2, 3], [3, 1], [8, 1], [10, 2], [18, 1]], 1/43200], [[[1, 1], [2, 3], [3, 1], [8, 1], [11, 1], [12, 1]], 1/50688], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 5]], 1/5598720], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [9, 2]], 1/46656], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [14, 2]], 1/28224], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [22, 1]], 1/25344], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 1/20736], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 4], [18, 1]], 1/62208], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 7/839808], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 1], [22, 1]], 1/202752], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 1/110592], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [10, 2]], 1/1382400], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 5/13824], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 3], [14, 1]], 1/580608], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 3], [18, 1]], 1/165888], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 4], [12, 1]], 1/82944], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 1], [10, 2]], 1/5529600], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 1/8192], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 2], [9, 1]], 1/497664], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 2], [14, 1]], 1/331776], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 2], [18, 1]], 1/2985984], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 3], [8, 1]], 1/331776], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 3], [10, 1]], 7/4976640], [[[1, 1], [2, 3], [3, 2], [4, 3], [6, 3], [12, 1]], 1/49152], [[[1, 1], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/110592], [[[1, 1], [2, 3], [3, 2], [6, 1], [8, 1], [22, 1]], 1/101376], [[[1, 1], [2, 3], [3, 2], [6, 1], [10, 1], [22, 1]], 1/31680], [[[1, 1], [2, 3], [3, 2], [6, 1], [10, 2], [14, 1]], 1/50400], [[[1, 1], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 1/18144], [[[1, 1], [2, 3], [3, 2], [6, 3], [8, 1], [9, 1]], 1/31104], [[[1, 1], [2, 3], [3, 2], [6, 3], [8, 1], [18, 1]], 1/248832], [[[1, 1], [2, 3], [3, 2], [6, 3], [10, 1], [18, 1]], 1/77760], [[[1, 1], [2, 3], [3, 3], [4, 1], [5, 1], [10, 2]], 1/518400], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 1], [11, 1]], 1/1368576], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 1], [22, 1]], 1/152064], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [12, 2]], 1/6912], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 3], [9, 1]], 1/373248], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 3], [18, 1]], 1/373248], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 4], [8, 1]], 1/497664], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 4], [12, 1]], 1/31104], [[[1, 1], [2, 3], [3, 3], [4, 2], [6, 1], [8, 2]], 1/995328], [[[1, 1], [2, 3], [3, 3], [4, 2], [6, 1], [12, 2]], 1/10368], [[[1, 1], [2, 3], [3, 3], [4, 2], [6, 3], [10, 1]], 1/414720], [[[1, 1], [2, 3], [3, 3], [4, 3], [5, 1], [10, 1]], 1/9953280], [[[1, 1], [2, 3], [3, 3], [4, 3], [6, 1], [9, 1]], 1/746496], [[[1, 1], [2, 3], [3, 3], [4, 3], [6, 2], [12, 1]], 19/1327104], [[[1, 1], [2, 3], [3, 3], [4, 3], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 3], [3, 3], [4, 3], [8, 1], [12, 1]], 1/497664], [[[1, 1], [2, 3], [3, 3], [4, 4], [6, 1], [12, 1]], 1/331776], [[[1, 1], [2, 3], [3, 3], [5, 1], [7, 1], [8, 1]], 1/8709120], [[[1, 1], [2, 3], [3, 3], [6, 1], [8, 1], [10, 2]], 1/345600], [[[1, 1], [2, 3], [3, 3], [6, 2], [8, 1], [9, 1]], 17/746496], [[[1, 1], [2, 3], [3, 3], [6, 2], [8, 1], [14, 1]], 1/145152], [[[1, 1], [2, 3], [3, 3], [6, 2], [8, 1], [18, 1]], 1/186624], [[[1, 1], [2, 3], [3, 3], [6, 2], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 3], [3, 3], [6, 3], [8, 1], [10, 1]], 1/311040], [[[1, 1], [2, 3], [3, 3], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 1], [2, 3], [3, 3], [8, 1], [9, 1], [12, 1]], 1/124416], [[[1, 1], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 1/1119744], [[[1, 1], [2, 3], [3, 4], [4, 2], [6, 2], [12, 1]], 1/746496], [[[1, 1], [2, 3], [3, 4], [4, 3], [6, 1], [12, 1]], 1/442368], [[[1, 1], [2, 3], [3, 5], [4, 1], [6, 1], [9, 1]], 1/3359232], [[[1, 1], [2, 3], [3, 5], [4, 1], [6, 2], [10, 1]], 1/1866240], [[[1, 1], [2, 3], [3, 5], [4, 1], [6, 2], [12, 1]], 1/373248], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [18, 2]], 1/19440], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 2], [22, 1]], 1/47520], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 3], [10, 2]], 1/2592000], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 4], [14, 1]], 1/1088640], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 4], [18, 1]], 1/93312], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 5], [10, 1]], 1/2332800], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 5], [12, 1]], 1/933120], [[[1, 1], [2, 3], [4, 1], [5, 1], [9, 1], [10, 2]], 1/7200], [[[1, 1], [2, 3], [4, 1], [5, 1], [10, 1], [22, 1]], 1/4400], [[[1, 1], [2, 3], [4, 1], [5, 1], [10, 2], [14, 1]], 1/14000], [[[1, 1], [2, 3], [4, 1], [5, 1], [10, 2], [18, 1]], 1/36000], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [18, 2]], 1/10368], [[[1, 1], [2, 3], [4, 1], [6, 1], [9, 1], [11, 1]], 1/19008], [[[1, 1], [2, 3], [4, 1], [6, 1], [10, 2], [12, 2]], 1/28800], [[[1, 1], [2, 3], [4, 1], [6, 1], [12, 1], [14, 2]], 1/4704], [[[1, 1], [2, 3], [4, 1], [6, 1], [12, 1], [18, 2]], 1/11664], [[[1, 1], [2, 3], [4, 1], [6, 1], [18, 1], [22, 1]], 1/3168], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/25344], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 1/13824], [[[1, 1], [2, 3], [4, 1], [6, 2], [12, 1], [22, 1]], 31/114048], [[[1, 1], [2, 3], [4, 1], [6, 2], [12, 2], [14, 1]], 1/12096], [[[1, 1], [2, 3], [4, 1], [6, 2], [12, 2], [18, 1]], 1/15552], [[[1, 1], [2, 3], [4, 1], [6, 3], [8, 1], [10, 2]], 1/4147200], [[[1, 1], [2, 3], [4, 1], [6, 3], [10, 1], [12, 2]], 1/25920], [[[1, 1], [2, 3], [4, 1], [6, 3], [10, 2], [12, 1]], 1/1555200], [[[1, 1], [2, 3], [4, 1], [6, 4], [8, 1], [14, 1]], 1/193536], [[[1, 1], [2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 13/746496], [[[1, 1], [2, 3], [4, 1], [6, 4], [10, 1], [14, 1]], 1/311040], [[[1, 1], [2, 3], [4, 1], [6, 4], [12, 1], [14, 1]], 1/653184], [[[1, 1], [2, 3], [4, 1], [6, 4], [12, 1], [18, 1]], 1/8748], [[[1, 1], [2, 3], [4, 1], [6, 5], [10, 1], [12, 1]], 1/1399680], [[[1, 1], [2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 1/7040], [[[1, 1], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/22400], [[[1, 1], [2, 3], [4, 1], [8, 1], [10, 2], [18, 1]], 1/57600], [[[1, 1], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/17920], [[[1, 1], [2, 3], [4, 1], [10, 1], [12, 1], [22, 1]], 1/2640], [[[1, 1], [2, 3], [4, 1], [10, 2], [12, 1], [14, 1]], 1/8400], [[[1, 1], [2, 3], [4, 1], [10, 2], [12, 1], [18, 1]], 1/21600], [[[1, 1], [2, 3], [4, 2], [5, 1], [6, 4], [10, 1]], 1/2488320], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 1], [22, 1]], 1/16896], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 2], [9, 1]], 1/13824], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/13824], [[[1, 1], [2, 3], [4, 2], [6, 1], [10, 1], [22, 1]], 1/21120], [[[1, 1], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/172800], [[[1, 1], [2, 3], [4, 2], [6, 1], [12, 1], [22, 1]], 1/33792], [[[1, 1], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 3], [4, 2], [6, 2], [10, 2], [12, 1]], 1/230400], [[[1, 1], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/72576], [[[1, 1], [2, 3], [4, 2], [6, 3], [8, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 1/41472], [[[1, 1], [2, 3], [4, 2], [6, 3], [10, 1], [14, 1]], 5/1161216], [[[1, 1], [2, 3], [4, 2], [6, 3], [10, 1], [18, 1]], 1/51840], [[[1, 1], [2, 3], [4, 2], [6, 3], [12, 1], [14, 1]], 1/96768], [[[1, 1], [2, 3], [4, 2], [6, 3], [12, 1], [18, 1]], 1/27648], [[[1, 1], [2, 3], [4, 2], [6, 4], [8, 1], [10, 1]], 1/2488320], [[[1, 1], [2, 3], [4, 2], [8, 1], [14, 1], [18, 1]], 1/16128], [[[1, 1], [2, 3], [4, 2], [10, 1], [14, 1], [18, 1]], 1/80640], [[[1, 1], [2, 3], [4, 3], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 1], [2, 3], [4, 3], [5, 1], [9, 1], [10, 1]], 1/138240], [[[1, 1], [2, 3], [4, 3], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 3], [4, 3], [6, 1], [10, 2], [12, 1]], 1/921600], [[[1, 1], [2, 3], [4, 3], [6, 1], [14, 1], [18, 1]], 1/41472], [[[1, 1], [2, 3], [4, 3], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 1], [2, 3], [4, 3], [6, 2], [10, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 3], [4, 3], [6, 2], [10, 1], [18, 1]], 1/62208], [[[1, 1], [2, 3], [4, 3], [6, 2], [12, 1], [14, 1]], 1/55296], [[[1, 1], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 1/55296], [[[1, 1], [2, 3], [4, 3], [6, 3], [8, 1], [12, 1]], 1/55296], [[[1, 1], [2, 3], [4, 3], [6, 3], [10, 1], [12, 1]], 7/829440], [[[1, 1], [2, 3], [4, 3], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 1], [2, 3], [4, 3], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 1], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 1], [2, 3], [5, 1], [6, 3], [10, 1], [14, 1]], 1/181440], [[[1, 1], [2, 3], [5, 1], [7, 1], [8, 1], [9, 1]], 1/120960], [[[1, 1], [2, 3], [5, 1], [10, 1], [14, 1], [18, 1]], 1/2520], [[[1, 1], [2, 3], [6, 1], [8, 1], [12, 1], [22, 1]], 1/16896], [[[1, 1], [2, 3], [6, 1], [10, 1], [12, 1], [22, 1]], 1/5280], [[[1, 1], [2, 3], [6, 1], [10, 2], [12, 1], [14, 1]], 1/8400], [[[1, 1], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780], [[[1, 1], [2, 3], [6, 2], [12, 1], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 3], [6, 3], [8, 1], [10, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 3], [6, 3], [8, 1], [12, 1], [18, 1]], 1/41472], [[[1, 1], [2, 3], [6, 3], [10, 1], [12, 1], [18, 1]], 1/12960], [[[1, 1], [2, 3], [8, 1], [10, 1], [14, 1], [18, 1]], 1/40320], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/7056], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [18, 2]], 1/93312], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [11, 1]], 161/12165120], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [22, 1]], 13/228096], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/12441600], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [12, 2]], 1/331776], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 17/5225472], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 53/2239488], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 5/2239488], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 5], [10, 1]], 1/11197440], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 101/17915904], [[[1, 1], [2, 5], [3, 1], [4, 1], [10, 1], [22, 1]], 1/7040], [[[1, 1], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/9600], [[[1, 1], [2, 5], [3, 1], [4, 1], [10, 2], [18, 1]], 1/172800], [[[1, 1], [2, 5], [3, 1], [4, 1], [11, 1], [12, 1]], 1/2027520], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [22, 1]], 1/22528], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 17/884736], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/46080], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 5/290304], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/31104], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 7/8957952], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 337/29859840], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/221184], [[[1, 1], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 7/460800], [[[1, 1], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/230400], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/96768], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 1/82944], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 5/1327104], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 1/207360], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 89/1990656], [[[1, 1], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/322560], [[[1, 1], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 1/552960], [[[1, 1], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/884736], [[[1, 1], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1/589824], [[[1, 1], [2, 5], [3, 1], [6, 1], [8, 1], [11, 1]], 1/152064], [[[1, 1], [2, 5], [3, 1], [6, 1], [8, 1], [22, 1]], 1/114048], [[[1, 1], [2, 5], [3, 1], [6, 1], [10, 1], [22, 1]], 1/2112], [[[1, 1], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/2240], [[[1, 1], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 13/518400], [[[1, 1], [2, 5], [3, 1], [6, 2], [10, 2], [12, 1]], 1/14400], [[[1, 1], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3402], [[[1, 1], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 121/26127360], [[[1, 1], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/104976], [[[1, 1], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 11/60480], [[[1, 1], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 11/38880], [[[1, 1], [2, 5], [3, 1], [6, 3], [12, 1], [14, 1]], 5/36288], [[[1, 1], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 1/15552], [[[1, 1], [2, 5], [3, 1], [6, 4], [8, 1], [10, 1]], 37/11197440], [[[1, 1], [2, 5], [3, 1], [6, 4], [8, 1], [12, 1]], 1/559872], [[[1, 1], [2, 5], [3, 1], [6, 4], [10, 1], [12, 1]], 7/103680], [[[1, 1], [2, 5], [3, 1], [8, 1], [14, 1], [18, 1]], 1/362880], [[[1, 1], [2, 5], [3, 2], [4, 1], [5, 1], [6, 4]], 1/2799360], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 1], [22, 1]], 1/270336], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/138240], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [12, 2]], 1/82944], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1/124416], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 1/48384], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 19/1990656], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 7/1492992], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 4], [10, 1]], 1/155520], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 251/13436928], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/884736], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 7/11059200], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 1/110592], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 11/4644864], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 1/663552], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/663552], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/552960], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 41/663552], [[[1, 1], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/1327104], [[[1, 1], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 1/1244160], [[[1, 1], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/24576], [[[1, 1], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/115200], [[[1, 1], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/207360], [[[1, 1], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 1/921600], [[[1, 1], [2, 5], [3, 2], [6, 2], [8, 1], [9, 1]], 1/248832], [[[1, 1], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 1/387072], [[[1, 1], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 1/497664], [[[1, 1], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/32256], [[[1, 1], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/62208], [[[1, 1], [2, 5], [3, 2], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 5], [3, 3], [4, 1], [5, 1], [7, 1]], 1/348364800], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 1], [10, 2]], 1/1382400], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 1], [12, 2]], 1/331776], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 2], [9, 1]], 161/29859840], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 2], [14, 1]], 1/580608], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 2], [18, 1]], 1/746496], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 3], [8, 1]], 1/497664], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 13/1244160], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 55/995328], [[[1, 1], [2, 5], [3, 3], [4, 1], [9, 1], [12, 1]], 1/4976640], [[[1, 1], [2, 5], [3, 3], [4, 2], [6, 2], [10, 1]], 1/3317760], [[[1, 1], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1/82944], [[[1, 1], [2, 5], [3, 3], [4, 3], [6, 1], [8, 1]], 1/3981312], [[[1, 1], [2, 5], [3, 3], [5, 1], [8, 1], [10, 1]], 1/4976640], [[[1, 1], [2, 5], [3, 3], [6, 1], [8, 1], [9, 1]], 1/373248], [[[1, 1], [2, 5], [3, 3], [6, 1], [8, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 5], [3, 3], [6, 2], [8, 1], [10, 1]], 1/1244160], [[[1, 1], [2, 5], [3, 3], [6, 2], [8, 1], [12, 1]], 1/331776], [[[1, 1], [2, 5], [3, 4], [4, 1], [6, 2], [12, 1]], 1/4478976], [[[1, 1], [2, 5], [3, 4], [4, 2], [6, 1], [12, 1]], 1/5971968], [[[1, 1], [2, 5], [3, 5], [4, 1], [6, 1], [12, 1]], 1/17915904], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 1], [22, 1]], 1/95040], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 13/432000], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 121/21772800], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 1/87480], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 37/9331200], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 4], [12, 1]], 1/466560], [[[1, 1], [2, 5], [4, 1], [5, 1], [7, 1], [9, 1]], 1/4838400], [[[1, 1], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/12800], [[[1, 1], [2, 5], [4, 1], [5, 1], [14, 1], [18, 1]], 1/302400], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 1/25344], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/27648], [[[1, 1], [2, 5], [4, 1], [6, 1], [10, 1], [22, 1]], 1/3520], [[[1, 1], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4800], [[[1, 1], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/17280], [[[1, 1], [2, 5], [4, 1], [6, 1], [12, 1], [22, 1]], 145/3649536], [[[1, 1], [2, 5], [4, 1], [6, 1], [12, 2], [14, 1]], 1/241920], [[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/43200], [[[1, 1], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 5], [4, 1], [6, 2], [10, 1], [12, 2]], 1/103680], [[[1, 1], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 97/1036800], [[[1, 1], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/4032], [[[1, 1], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 7/165888], [[[1, 1], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 13/186624], [[[1, 1], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 293/13934592], [[[1, 1], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 13/77760], [[[1, 1], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1741/13063680], [[[1, 1], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 2051/26873856], [[[1, 1], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 17/2488320], [[[1, 1], [2, 5], [4, 1], [6, 4], [8, 1], [12, 1]], 7/248832], [[[1, 1], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 253/5598720], [[[1, 1], [2, 5], [4, 1], [8, 1], [14, 1], [18, 1]], 1/16128], [[[1, 1], [2, 5], [4, 1], [10, 1], [14, 1], [18, 1]], 121/967680], [[[1, 1], [2, 5], [4, 1], [12, 1], [14, 1], [18, 1]], 1/181440], [[[1, 1], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 1], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 49/19906560], [[[1, 1], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 5], [4, 2], [5, 1], [10, 1], [18, 1]], 1/276480], [[[1, 1], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/30720], [[[1, 1], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 1], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 7/1843200], [[[1, 1], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 5/82944], [[[1, 1], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/48384], [[[1, 1], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/20736], [[[1, 1], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 59/1935360], [[[1, 1], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 11/138240], [[[1, 1], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 11/774144], [[[1, 1], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 1/110592], [[[1, 1], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 49/4976640], [[[1, 1], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 1/110592], [[[1, 1], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/92160], [[[1, 1], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/13440], [[[1, 1], [2, 5], [4, 2], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 1], [2, 5], [4, 3], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 1], [2, 5], [4, 3], [5, 1], [6, 1], [18, 1]], 1/207360], [[[1, 1], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 1/345600], [[[1, 1], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/122880], [[[1, 1], [2, 5], [4, 3], [6, 1], [8, 1], [9, 1]], 1/55296], [[[1, 1], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672], [[[1, 1], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 5/331776], [[[1, 1], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/20736], [[[1, 1], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 11/1244160], [[[1, 1], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 1/80640], [[[1, 1], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 1/124416], [[[1, 1], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 1], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 1/221184], [[[1, 1], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 1], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 1], [2, 5], [5, 1], [6, 1], [10, 2], [12, 1]], 1/19200], [[[1, 1], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 1], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 1/25920], [[[1, 1], [2, 5], [5, 1], [6, 3], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 5], [5, 1], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 1], [2, 5], [6, 1], [8, 1], [10, 2], [12, 1]], 1/153600], [[[1, 1], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/5376], [[[1, 1], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 47/60480], [[[1, 1], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 61/483840], [[[1, 1], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/10368], [[[1, 1], [2, 5], [6, 2], [8, 1], [12, 1], [14, 1]], 1/64512], [[[1, 1], [2, 5], [6, 2], [8, 1], [12, 1], [18, 1]], 1/82944], [[[1, 1], [2, 5], [6, 2], [10, 1], [12, 1], [14, 1]], 1/5376], [[[1, 1], [2, 5], [6, 2], [10, 1], [12, 1], [18, 1]], 1/10368], [[[1, 1], [2, 5], [6, 3], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [11, 1]], 1/6082560], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [22, 1]], 5/912384], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 49/2073600], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [12, 2]], 1/92897280], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 2201/104509440], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 97/6718464], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 601/179159040], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 349/44789760], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 643/185794560], [[[1, 1], [2, 7], [3, 1], [4, 1], [14, 1], [18, 1]], 1/1451520], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/442368], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 7/614400], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 221/11612160], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 49/4976640], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 7/4478976], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 83/4976640], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/1658880], [[[1, 1], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/552960], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/322560], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 1], [18, 1]], 1/497664], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 643/106168320], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/414720], [[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 67/11943936], [[[1, 1], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 1/5898240], [[[1, 1], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/4423680], [[[1, 1], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 7/1036800], [[[1, 1], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/136080], [[[1, 1], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 11/4354560], [[[1, 1], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 133/67184640], [[[1, 1], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 31/138240], [[[1, 1], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 77/622080], [[[1, 1], [2, 7], [3, 1], [6, 2], [12, 1], [14, 1]], 1/181440], [[[1, 1], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 2941/783820800], [[[1, 1], [2, 7], [3, 1], [6, 3], [8, 1], [12, 1]], 1/7464960], [[[1, 1], [2, 7], [3, 1], [6, 3], [10, 1], [12, 1]], 17/829440], [[[1, 1], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 31/12441600], [[[1, 1], [2, 7], [3, 1], [8, 1], [10, 1], [18, 1]], 1/10886400], [[[1, 1], [2, 7], [3, 2], [4, 1], [5, 1], [6, 3]], 1/37324800], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 41/22118400], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 1], [12, 2]], 1/13271040], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 1/9953280], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 37/15482880], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/1327104], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/995328], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 5/1327104], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 2921/716636160], [[[1, 1], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 1/5806080], [[[1, 1], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6635520], [[[1, 1], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/2764800], [[[1, 1], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 23/6635520], [[[1, 1], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 1/21233664], [[[1, 1], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 53/696729600], [[[1, 1], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/3317760], [[[1, 1], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 1/7741440], [[[1, 1], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 43/12902400], [[[1, 1], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 1/3317760], [[[1, 1], [2, 7], [3, 3], [4, 1], [5, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 1], [9, 1]], 1/14929920], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 1], [14, 1]], 1/11612160], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 2], [8, 1]], 1/19906560], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 2], [10, 1]], 1/4976640], [[[1, 1], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 67/61931520], [[[1, 1], [2, 7], [3, 3], [4, 2], [6, 1], [12, 1]], 1/6635520], [[[1, 1], [2, 7], [3, 3], [6, 1], [8, 1], [10, 1]], 1/87091200], [[[1, 1], [2, 7], [3, 4], [4, 1], [6, 1], [12, 1]], 1/716636160], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 7/864000], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 11/3628800], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 133/55987200], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 2941/653184000], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 3], [12, 1]], 1/6220800], [[[1, 1], [2, 7], [4, 1], [5, 1], [9, 1], [10, 1]], 1/2764800], [[[1, 1], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 31/10368000], [[[1, 1], [2, 7], [4, 1], [5, 1], [10, 1], [18, 1]], 1/9072000], [[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 121/1382400], [[[1, 1], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/184320], [[[1, 1], [2, 7], [4, 1], [6, 1], [10, 1], [12, 2]], 1/7257600], [[[1, 1], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 817/33177600], [[[1, 1], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 13/215040], [[[1, 1], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 61/1935360], [[[1, 1], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 17/829440], [[[1, 1], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 2321/11612160], [[[1, 1], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 47/414720], [[[1, 1], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 193/9953280], [[[1, 1], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 2279/268738560], [[[1, 1], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1213/24883200], [[[1, 1], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 1/165888], [[[1, 1], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 94403/3135283200], [[[1, 1], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 187/3225600], [[[1, 1], [2, 7], [4, 1], [8, 1], [10, 1], [18, 1]], 1/115200], [[[1, 1], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 31/6220800], [[[1, 1], [2, 7], [4, 1], [10, 1], [12, 1], [18, 1]], 1/5443200], [[[1, 1], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 17/3317760], [[[1, 1], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 73/3870720], [[[1, 1], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 11/829440], [[[1, 1], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 211/4838400], [[[1, 1], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 7/259200], [[[1, 1], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 1/967680], [[[1, 1], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 37/1658880], [[[1, 1], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1105920], [[[1, 1], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 1/460800], [[[1, 1], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1382400], [[[1, 1], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 1/73728], [[[1, 1], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3538944], [[[1, 1], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 193/116121600], [[[1, 1], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 1], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 1], [2, 7], [5, 1], [6, 2], [10, 1], [12, 1]], 1/552960], [[[1, 1], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 23/276480], [[[1, 1], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 19/414720], [[[1, 1], [2, 7], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 7], [6, 1], [10, 1], [12, 1], [14, 1]], 43/2150400], [[[1, 1], [2, 7], [6, 2], [8, 1], [10, 1], [12, 1]], 1/552960], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 41/8294400], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 23/8709120], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 55/47029248], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 289/358318080], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 12601/3135283200], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 107/501645312], [[[1, 1], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 641/304819200], [[[1, 1], [2, 9], [3, 1], [4, 1], [10, 1], [18, 1]], 1/43545600], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 1/1327104], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 1/59719680], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 7/59719680], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1487/418037760], [[[1, 1], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 1/79626240], [[[1, 1], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/16588800], [[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/10616832], [[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 37/116121600], [[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 197/3344302080], [[[1, 1], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 13/104509440], [[[1, 1], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 1/104509440], [[[1, 1], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 1327/162570240], [[[1, 1], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 89/174182400], [[[1, 1], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 691/1567641600], [[[1, 1], [2, 9], [3, 1], [6, 2], [8, 1], [12, 1]], 1/627056640], [[[1, 1], [2, 9], [3, 1], [6, 2], [10, 1], [12, 1]], 89/232243200], [[[1, 1], [2, 9], [3, 2], [4, 1], [5, 1], [6, 2]], 1/3135283200], [[[1, 1], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/18063360], [[[1, 1], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 11/278691840], [[[1, 1], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 1/3317760], [[[1, 1], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 193/7524679680], [[[1, 1], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/743178240], [[[1, 1], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 1/103219200], [[[1, 1], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/928972800], [[[1, 1], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 1/232243200], [[[1, 1], [2, 9], [3, 3], [4, 1], [6, 1], [10, 1]], 1/348364800], [[[1, 1], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 13/87091200], [[[1, 1], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 1/87091200], [[[1, 1], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 691/1306368000], [[[1, 1], [2, 9], [4, 1], [5, 1], [6, 2], [12, 1]], 1/522547200], [[[1, 1], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/66355200], [[[1, 1], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 53/15482880], [[[1, 1], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 223/418037760], [[[1, 1], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 6679/174182400], [[[1, 1], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 5/331776], [[[1, 1], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 85/146313216], [[[1, 1], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 1/52254720], [[[1, 1], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 757/58060800], [[[1, 1], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 11/46448640], [[[1, 1], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 4217/1567641600], [[[1, 1], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 19/49766400], [[[1, 1], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 983/278691840], [[[1, 1], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/123863040], [[[1, 1], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17203200], [[[1, 1], [2, 9], [5, 1], [6, 1], [10, 1], [12, 1]], 1/154828800], [[[1, 1], [2, 9], [6, 1], [8, 1], [10, 1], [12, 1]], 1/38707200], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 121/1463132160], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 1/209018880], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 13/627056640], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 989/3135283200], [[[1, 1], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 17/10032906240], [[[1, 1], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/716636160], [[[1, 1], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 137/2090188800], [[[1, 1], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 43/6270566400], [[[1, 1], [2, 11], [3, 1], [6, 1], [8, 1], [12, 1]], 1/275904921600], [[[1, 1], [2, 11], [3, 2], [4, 1], [5, 1], [6, 1]], 1/1379524608000], [[[1, 1], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 19/133772083200], [[[1, 1], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/348364800], [[[1, 1], [2, 11], [3, 2], [4, 1], [6, 1], [12, 1]], 1/827714764800], [[[1, 1], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 43/5225472000], [[[1, 1], [2, 11], [4, 1], [5, 1], [6, 1], [12, 1]], 1/229920768000], [[[1, 1], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 989/1393459200], [[[1, 1], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 19/22295347200], [[[1, 1], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 97/3135283200], [[[1, 1], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 1/13795246080], [[[1, 1], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 1/223948800], [[[1, 1], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 1/294298583040], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 6]], 1/2799360], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 2], [12, 2]], 1/28800], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [18, 2]], 1/23328], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [11, 1]], 1/76032], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [22, 1]], 1/684288], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 4], [8, 2]], 1/746496], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 4], [12, 2]], 1/31104], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 5], [18, 1]], 1/1679616], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 6], [12, 1]], 1/1679616], [[[1, 2], [2, 2], [3, 1], [4, 1], [9, 2], [10, 1]], 1/6480], [[[1, 2], [2, 2], [3, 1], [4, 1], [9, 2], [12, 1]], 1/3888], [[[1, 2], [2, 2], [3, 1], [4, 1], [18, 1], [22, 1]], 1/9504], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [22, 1]], 1/5280], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [11, 1]], 1/45056], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [22, 1]], 1/76032], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 3], [12, 2]], 31/124416], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 4], [18, 1]], 1/186624], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 5], [12, 1]], 1/248832], [[[1, 2], [2, 2], [3, 1], [4, 2], [7, 1], [12, 2]], 1/8064], [[[1, 2], [2, 2], [3, 1], [4, 2], [11, 1], [12, 1]], 3/22528], [[[1, 2], [2, 2], [3, 1], [4, 2], [12, 1], [22, 1]], 1/3168], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 2], [6, 2]], 1/5529600], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 2], [12, 1]], 1/921600], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [11, 1]], 1/101376], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [22, 1]], 1/101376], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 1/147456], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 1/36864], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 3], [18, 1]], 1/186624], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 4], [10, 1]], 1/14929920], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 1/73728], [[[1, 2], [2, 2], [3, 1], [4, 3], [7, 1], [9, 1]], 1/290304], [[[1, 2], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/24576], [[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [9, 1]], 1/414720], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/13824], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 2], [7, 1]], 1/1548288], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 2], [18, 1]], 1/248832], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 3], [12, 1]], 1/995328], [[[1, 2], [2, 2], [3, 1], [4, 4], [7, 1], [12, 1]], 1/258048], [[[1, 2], [2, 2], [3, 1], [4, 4], [8, 1], [9, 1]], 1/41472], [[[1, 2], [2, 2], [3, 1], [4, 4], [10, 1], [14, 1]], 1/322560], [[[1, 2], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/442368], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [7, 2]], 1/17640], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 4], [7, 1]], 1/362880], [[[1, 2], [2, 2], [3, 1], [5, 1], [11, 1], [12, 1]], 1/10560], [[[1, 2], [2, 2], [3, 1], [5, 2], [6, 2], [7, 1]], 1/201600], [[[1, 2], [2, 2], [3, 1], [5, 2], [6, 3], [8, 1]], 1/345600], [[[1, 2], [2, 2], [3, 1], [5, 2], [7, 1], [12, 1]], 1/33600], [[[1, 2], [2, 2], [3, 1], [6, 1], [7, 1], [11, 1]], 1/5544], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 1], [9, 2]], 1/7776], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 1], [18, 2]], 1/7776], [[[1, 2], [2, 2], [3, 1], [6, 1], [9, 1], [11, 1]], 1/7128], [[[1, 2], [2, 2], [3, 1], [6, 1], [10, 1], [14, 2]], 1/17640], [[[1, 2], [2, 2], [3, 1], [6, 1], [14, 1], [22, 1]], 1/5544], [[[1, 2], [2, 2], [3, 1], [6, 1], [18, 1], [22, 1]], 1/7128], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [11, 1]], 1/5632], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [22, 1]], 1/19008], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 2], [18, 1]], 1/10368], [[[1, 2], [2, 2], [3, 1], [6, 2], [10, 1], [11, 1]], 1/31680], [[[1, 2], [2, 2], [3, 1], [6, 2], [11, 1], [12, 1]], 1/19008], [[[1, 2], [2, 2], [3, 1], [6, 2], [12, 1], [22, 1]], 1/9504], [[[1, 2], [2, 2], [3, 1], [6, 3], [8, 1], [10, 2]], 1/3110400], [[[1, 2], [2, 2], [3, 1], [6, 3], [14, 1], [18, 1]], 1/13608], [[[1, 2], [2, 2], [3, 1], [6, 4], [8, 1], [14, 1]], 1/1306368], [[[1, 2], [2, 2], [3, 1], [6, 4], [8, 1], [18, 1]], 13/559872], [[[1, 2], [2, 2], [3, 1], [6, 4], [10, 1], [14, 1]], 1/1632960], [[[1, 2], [2, 2], [3, 1], [6, 4], [12, 1], [18, 1]], 1/23328], [[[1, 2], [2, 2], [3, 1], [8, 1], [10, 1], [22, 1]], 1/5280], [[[1, 2], [2, 2], [3, 1], [8, 1], [10, 2], [14, 1]], 1/16800], [[[1, 2], [2, 2], [3, 1], [8, 1], [10, 2], [18, 1]], 1/43200], [[[1, 2], [2, 2], [3, 1], [8, 1], [11, 1], [12, 1]], 1/8448], [[[1, 2], [2, 2], [3, 1], [8, 2], [10, 1], [14, 1]], 1/13440], [[[1, 2], [2, 2], [3, 1], [10, 1], [11, 1], [12, 1]], 1/5280], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/23328], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [8, 2]], 1/82944], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [12, 2]], 1/3456], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 5], [8, 1]], 1/2985984], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 5], [12, 1]], 1/186624], [[[1, 2], [2, 2], [3, 2], [4, 1], [7, 1], [12, 2]], 1/12096], [[[1, 2], [2, 2], [3, 2], [4, 1], [8, 1], [22, 1]], 1/6336], [[[1, 2], [2, 2], [3, 2], [4, 1], [9, 1], [12, 2]], 1/5184], [[[1, 2], [2, 2], [3, 2], [4, 1], [10, 1], [11, 1]], 1/15840], [[[1, 2], [2, 2], [3, 2], [4, 1], [11, 1], [12, 1]], 1/9504], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [12, 2]], 1/17280], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [11, 1]], 1/76032], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [22, 1]], 1/45056], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 3], [18, 1]], 17/995328], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 19/1492992], [[[1, 2], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/6912], [[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [6, 3]], 1/1658880], [[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [7, 1]], 1/967680], [[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [9, 1]], 1/207360], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 1/147456], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [10, 2]], 1/5529600], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/36864], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 2], [7, 1]], 1/2322432], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 2], [9, 1]], 1/995328], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 2], [14, 1]], 1/2322432], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 2], [18, 1]], 1/995328], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 3], [12, 1]], 1/24576], [[[1, 2], [2, 2], [3, 2], [4, 3], [7, 1], [12, 1]], 1/387072], [[[1, 2], [2, 2], [3, 2], [4, 3], [8, 1], [9, 1]], 1/165888], [[[1, 2], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 1/165888], [[[1, 2], [2, 2], [3, 2], [4, 4], [5, 1], [6, 2]], 1/3317760], [[[1, 2], [2, 2], [3, 2], [4, 4], [5, 1], [12, 1]], 1/552960], [[[1, 2], [2, 2], [3, 2], [4, 4], [6, 1], [9, 1]], 1/248832], [[[1, 2], [2, 2], [3, 2], [4, 4], [6, 1], [14, 1]], 1/1548288], [[[1, 2], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 1/165888], [[[1, 2], [2, 2], [3, 2], [4, 4], [6, 2], [10, 1]], 1/3317760], [[[1, 2], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 1/55296], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [22, 1]], 1/31680], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 3], [7, 1]], 1/181440], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 3], [18, 1]], 1/77760], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 4], [8, 1]], 1/103680], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 1], [11, 1]], 1/19008], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 1], [22, 1]], 1/5632], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 2], [9, 1]], 1/10368], [[[1, 2], [2, 2], [3, 2], [6, 1], [10, 1], [22, 1]], 1/63360], [[[1, 2], [2, 2], [3, 2], [6, 1], [10, 2], [14, 1]], 1/201600], [[[1, 2], [2, 2], [3, 2], [6, 1], [11, 1], [12, 1]], 1/9504], [[[1, 2], [2, 2], [3, 2], [6, 1], [12, 1], [22, 1]], 1/19008], [[[1, 2], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 1/9072], [[[1, 2], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 2], [3, 2], [6, 3], [7, 1], [8, 1]], 1/145152], [[[1, 2], [2, 2], [3, 2], [6, 3], [8, 1], [9, 1]], 1/62208], [[[1, 2], [2, 2], [3, 2], [6, 3], [8, 1], [18, 1]], 35/373248], [[[1, 2], [2, 2], [3, 2], [6, 3], [10, 1], [14, 1]], 1/3265920], [[[1, 2], [2, 2], [3, 2], [6, 3], [10, 1], [18, 1]], 1/155520], [[[1, 2], [2, 2], [3, 2], [6, 3], [12, 1], [14, 1]], 1/12096], [[[1, 2], [2, 2], [3, 2], [6, 3], [12, 1], [18, 1]], 1/46656], [[[1, 2], [2, 2], [3, 2], [6, 4], [8, 1], [10, 1]], 1/933120], [[[1, 2], [2, 2], [3, 2], [6, 4], [8, 1], [12, 1]], 1/62208], [[[1, 2], [2, 2], [3, 2], [10, 1], [14, 1], [18, 1]], 1/45360], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [6, 4]], 1/311040], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [10, 2]], 1/518400], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 2], [10, 1]], 1/2592000], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 2], [12, 1]], 1/1555200], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [11, 1]], 1/684288], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [22, 1]], 1/76032], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [8, 2]], 1/82944], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 3], [9, 1]], 1/186624], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 3], [18, 1]], 1/186624], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 4], [8, 1]], 1/331776], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 5/93312], [[[1, 2], [2, 2], [3, 3], [4, 2], [5, 1], [7, 1]], 1/1290240], [[[1, 2], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 31/124416], [[[1, 2], [2, 2], [3, 3], [4, 2], [6, 2], [9, 1]], 17/995328], [[[1, 2], [2, 2], [3, 3], [4, 2], [6, 3], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 3], [4, 2], [7, 1], [8, 1]], 1/290304], [[[1, 2], [2, 2], [3, 3], [4, 2], [7, 1], [10, 1]], 1/725760], [[[1, 2], [2, 2], [3, 3], [4, 2], [7, 1], [12, 1]], 1/435456], [[[1, 2], [2, 2], [3, 3], [4, 2], [9, 1], [12, 1]], 1/18432], [[[1, 2], [2, 2], [3, 3], [4, 3], [5, 1], [10, 1]], 1/9953280], [[[1, 2], [2, 2], [3, 3], [4, 3], [6, 1], [9, 1]], 1/186624], [[[1, 2], [2, 2], [3, 3], [4, 3], [6, 2], [10, 1]], 1/1658880], [[[1, 2], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 1/24576], [[[1, 2], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/995328], [[[1, 2], [2, 2], [3, 3], [5, 1], [6, 2], [7, 1]], 1/3265920], [[[1, 2], [2, 2], [3, 3], [5, 1], [6, 2], [9, 1]], 1/155520], [[[1, 2], [2, 2], [3, 3], [5, 1], [7, 1], [8, 1]], 1/1451520], [[[1, 2], [2, 2], [3, 3], [5, 1], [7, 1], [10, 1]], 1/151200], [[[1, 2], [2, 2], [3, 3], [5, 1], [9, 1], [12, 1]], 1/25920], [[[1, 2], [2, 2], [3, 3], [5, 2], [6, 1], [8, 1]], 1/3110400], [[[1, 2], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 1/13608], [[[1, 2], [2, 2], [3, 3], [6, 1], [8, 1], [10, 2]], 1/345600], [[[1, 2], [2, 2], [3, 3], [6, 2], [7, 1], [12, 1]], 1/12096], [[[1, 2], [2, 2], [3, 3], [6, 2], [8, 1], [9, 1]], 35/373248], [[[1, 2], [2, 2], [3, 3], [6, 2], [8, 1], [14, 1]], 1/145152], [[[1, 2], [2, 2], [3, 3], [6, 2], [8, 1], [18, 1]], 1/62208], [[[1, 2], [2, 2], [3, 3], [6, 2], [9, 1], [10, 1]], 1/77760], [[[1, 2], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/46656], [[[1, 2], [2, 2], [3, 3], [6, 2], [10, 1], [14, 1]], 1/181440], [[[1, 2], [2, 2], [3, 3], [8, 1], [9, 1], [12, 1]], 1/20736], [[[1, 2], [2, 2], [3, 3], [9, 1], [10, 1], [12, 1]], 1/12960], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 1], [8, 2]], 1/746496], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 1], [12, 2]], 1/31104], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 3], [8, 1]], 1/331776], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 3], [10, 1]], 1/311040], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 5/93312], [[[1, 2], [2, 2], [3, 4], [4, 1], [7, 1], [10, 1]], 1/1088640], [[[1, 2], [2, 2], [3, 4], [4, 1], [7, 1], [12, 1]], 1/653184], [[[1, 2], [2, 2], [3, 4], [4, 1], [9, 1], [10, 1]], 13/466560], [[[1, 2], [2, 2], [3, 4], [4, 1], [9, 1], [12, 1]], 13/279936], [[[1, 2], [2, 2], [3, 4], [4, 2], [5, 1], [10, 1]], 13/12441600], [[[1, 2], [2, 2], [3, 4], [4, 2], [5, 1], [12, 1]], 1/933120], [[[1, 2], [2, 2], [3, 4], [4, 2], [6, 1], [9, 1]], 1/186624], [[[1, 2], [2, 2], [3, 4], [4, 2], [6, 2], [12, 1]], 19/1492992], [[[1, 2], [2, 2], [3, 4], [4, 2], [8, 1], [10, 1]], 1/622080], [[[1, 2], [2, 2], [3, 4], [4, 2], [8, 1], [12, 1]], 1/373248], [[[1, 2], [2, 2], [3, 4], [4, 3], [5, 1], [6, 1]], 1/14929920], [[[1, 2], [2, 2], [3, 4], [4, 3], [6, 1], [12, 1]], 1/73728], [[[1, 2], [2, 2], [3, 4], [5, 1], [6, 1], [7, 1]], 1/1632960], [[[1, 2], [2, 2], [3, 4], [5, 1], [6, 2], [8, 1]], 1/933120], [[[1, 2], [2, 2], [3, 4], [6, 1], [7, 1], [8, 1]], 1/1306368], [[[1, 2], [2, 2], [3, 4], [6, 1], [8, 1], [9, 1]], 13/559872], [[[1, 2], [2, 2], [3, 4], [6, 1], [9, 1], [12, 1]], 1/23328], [[[1, 2], [2, 2], [3, 4], [6, 1], [10, 1], [14, 1]], 1/362880], [[[1, 2], [2, 2], [3, 4], [6, 2], [8, 1], [10, 1]], 1/103680], [[[1, 2], [2, 2], [3, 4], [6, 2], [8, 1], [12, 1]], 1/62208], [[[1, 2], [2, 2], [3, 5], [4, 1], [6, 1], [9, 1]], 1/1679616], [[[1, 2], [2, 2], [3, 5], [4, 1], [6, 2], [8, 1]], 1/2985984], [[[1, 2], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 1/186624], [[[1, 2], [2, 2], [3, 5], [4, 2], [6, 1], [12, 1]], 1/248832], [[[1, 2], [2, 2], [3, 6], [4, 1], [6, 1], [10, 1]], 1/2799360], [[[1, 2], [2, 2], [3, 6], [4, 1], [6, 1], [12, 1]], 1/1679616], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [18, 2]], 1/6480], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [22, 1]], 1/15840], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 3], [10, 2]], 1/2592000], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 4], [14, 1]], 1/1088640], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 4], [18, 1]], 13/466560], [[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [22, 1]], 1/3520], [[[1, 2], [2, 2], [4, 1], [5, 1], [9, 1], [10, 2]], 1/7200], [[[1, 2], [2, 2], [4, 1], [5, 1], [10, 1], [11, 1]], 1/4400], [[[1, 2], [2, 2], [4, 1], [5, 1], [10, 1], [22, 1]], 1/4400], [[[1, 2], [2, 2], [4, 1], [5, 1], [10, 2], [14, 1]], 1/14000], [[[1, 2], [2, 2], [4, 1], [5, 1], [10, 2], [18, 1]], 1/36000], [[[1, 2], [2, 2], [4, 1], [5, 1], [11, 1], [12, 1]], 1/2640], [[[1, 2], [2, 2], [4, 1], [5, 2], [6, 3], [10, 1]], 1/518400], [[[1, 2], [2, 2], [4, 1], [5, 2], [7, 1], [10, 1]], 1/14000], [[[1, 2], [2, 2], [4, 1], [5, 2], [7, 1], [12, 1]], 1/8400], [[[1, 2], [2, 2], [4, 1], [5, 2], [9, 1], [10, 1]], 1/36000], [[[1, 2], [2, 2], [4, 1], [5, 2], [9, 1], [12, 1]], 1/21600], [[[1, 2], [2, 2], [4, 1], [5, 2], [10, 1], [18, 1]], 1/7200], [[[1, 2], [2, 2], [4, 1], [6, 1], [9, 1], [11, 1]], 1/9504], [[[1, 2], [2, 2], [4, 1], [6, 1], [10, 2], [12, 2]], 1/28800], [[[1, 2], [2, 2], [4, 1], [6, 1], [12, 1], [18, 2]], 1/3888], [[[1, 2], [2, 2], [4, 1], [6, 2], [8, 1], [11, 1]], 1/6336], [[[1, 2], [2, 2], [4, 1], [6, 2], [12, 1], [22, 1]], 1/9504], [[[1, 2], [2, 2], [4, 1], [6, 2], [12, 2], [14, 1]], 1/12096], [[[1, 2], [2, 2], [4, 1], [6, 2], [12, 2], [18, 1]], 1/5184], [[[1, 2], [2, 2], [4, 1], [6, 3], [10, 2], [12, 1]], 1/1555200], [[[1, 2], [2, 2], [4, 1], [6, 4], [12, 1], [14, 1]], 1/653184], [[[1, 2], [2, 2], [4, 1], [6, 4], [12, 1], [18, 1]], 13/279936], [[[1, 2], [2, 2], [4, 1], [8, 1], [10, 1], [11, 1]], 1/3520], [[[1, 2], [2, 2], [4, 1], [8, 1], [11, 1], [12, 1]], 1/2112], [[[1, 2], [2, 2], [4, 1], [8, 1], [12, 1], [22, 1]], 1/2112], [[[1, 2], [2, 2], [4, 1], [10, 1], [12, 1], [22, 1]], 1/2640], [[[1, 2], [2, 2], [4, 1], [10, 2], [12, 1], [14, 1]], 1/8400], [[[1, 2], [2, 2], [4, 1], [10, 2], [12, 1], [18, 1]], 1/21600], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 3], [14, 1]], 1/725760], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 4], [8, 1]], 1/622080], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 4], [10, 1]], 13/12441600], [[[1, 2], [2, 2], [4, 2], [5, 1], [7, 1], [9, 1]], 1/17920], [[[1, 2], [2, 2], [4, 2], [5, 1], [14, 1], [18, 1]], 1/10080], [[[1, 2], [2, 2], [4, 2], [6, 1], [10, 1], [11, 1]], 1/5280], [[[1, 2], [2, 2], [4, 2], [6, 1], [11, 1], [12, 1]], 1/3168], [[[1, 2], [2, 2], [4, 2], [6, 1], [12, 1], [22, 1]], 3/22528], [[[1, 2], [2, 2], [4, 2], [6, 1], [12, 2], [14, 1]], 1/8064], [[[1, 2], [2, 2], [4, 2], [6, 2], [8, 1], [12, 2]], 1/6912], [[[1, 2], [2, 2], [4, 2], [6, 2], [10, 1], [12, 2]], 1/17280], [[[1, 2], [2, 2], [4, 2], [6, 3], [8, 1], [14, 1]], 1/290304], [[[1, 2], [2, 2], [4, 2], [6, 3], [10, 1], [14, 1]], 1/1290240], [[[1, 2], [2, 2], [4, 2], [6, 3], [12, 1], [14, 1]], 1/435456], [[[1, 2], [2, 2], [4, 2], [6, 3], [12, 1], [18, 1]], 1/18432], [[[1, 2], [2, 2], [4, 2], [6, 4], [8, 1], [12, 1]], 1/373248], [[[1, 2], [2, 2], [4, 2], [6, 4], [10, 1], [12, 1]], 1/933120], [[[1, 2], [2, 2], [4, 2], [7, 1], [8, 1], [9, 1]], 1/4032], [[[1, 2], [2, 2], [4, 2], [7, 1], [9, 1], [10, 1]], 1/10080], [[[1, 2], [2, 2], [4, 2], [7, 1], [9, 1], [12, 1]], 1/6048], [[[1, 2], [2, 2], [4, 2], [8, 1], [14, 1], [18, 1]], 1/4032], [[[1, 2], [2, 2], [4, 2], [10, 1], [14, 1], [18, 1]], 1/17920], [[[1, 2], [2, 2], [4, 2], [12, 1], [14, 1], [18, 1]], 1/6048], [[[1, 2], [2, 2], [4, 3], [5, 1], [6, 3], [10, 1]], 1/9953280], [[[1, 2], [2, 2], [4, 3], [5, 1], [7, 1], [8, 1]], 1/215040], [[[1, 2], [2, 2], [4, 3], [5, 1], [9, 1], [10, 1]], 1/138240], [[[1, 2], [2, 2], [4, 3], [5, 1], [10, 1], [18, 1]], 1/138240], [[[1, 2], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 1/24576], [[[1, 2], [2, 2], [4, 3], [6, 1], [10, 2], [12, 1]], 1/921600], [[[1, 2], [2, 2], [4, 3], [6, 1], [14, 1], [18, 1]], 1/290304], [[[1, 2], [2, 2], [4, 3], [6, 2], [8, 1], [18, 1]], 1/165888], [[[1, 2], [2, 2], [4, 3], [6, 2], [10, 1], [14, 1]], 1/967680], [[[1, 2], [2, 2], [4, 3], [6, 2], [10, 1], [18, 1]], 1/207360], [[[1, 2], [2, 2], [4, 3], [6, 2], [12, 1], [14, 1]], 1/387072], [[[1, 2], [2, 2], [4, 3], [6, 2], [12, 1], [18, 1]], 1/165888], [[[1, 2], [2, 2], [4, 3], [8, 1], [10, 1], [14, 1]], 1/215040], [[[1, 2], [2, 2], [4, 4], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 2], [2, 2], [4, 4], [6, 1], [8, 1], [18, 1]], 1/41472], [[[1, 2], [2, 2], [4, 4], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 2], [2, 2], [4, 4], [6, 1], [12, 1], [14, 1]], 1/258048], [[[1, 2], [2, 2], [4, 4], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 2], [2, 2], [4, 4], [6, 2], [10, 1], [12, 1]], 1/552960], [[[1, 2], [2, 2], [5, 1], [6, 1], [7, 1], [8, 2]], 1/13440], [[[1, 2], [2, 2], [5, 1], [6, 1], [8, 1], [11, 1]], 1/5280], [[[1, 2], [2, 2], [5, 1], [6, 1], [12, 1], [22, 1]], 1/5280], [[[1, 2], [2, 2], [5, 1], [6, 2], [7, 1], [9, 1]], 1/45360], [[[1, 2], [2, 2], [5, 1], [6, 3], [10, 1], [14, 1]], 1/151200], [[[1, 2], [2, 2], [5, 1], [6, 3], [12, 1], [18, 1]], 1/12960], [[[1, 2], [2, 2], [5, 1], [7, 1], [8, 1], [9, 1]], 1/20160], [[[1, 2], [2, 2], [5, 1], [7, 1], [9, 1], [10, 1]], 1/2100], [[[1, 2], [2, 2], [5, 1], [10, 1], [14, 1], [18, 1]], 1/2100], [[[1, 2], [2, 2], [5, 2], [6, 1], [7, 1], [8, 1]], 1/16800], [[[1, 2], [2, 2], [5, 2], [6, 1], [8, 1], [9, 1]], 1/43200], [[[1, 2], [2, 2], [6, 1], [8, 1], [12, 1], [22, 1]], 1/8448], [[[1, 2], [2, 2], [6, 1], [10, 1], [12, 1], [22, 1]], 1/10560], [[[1, 2], [2, 2], [6, 1], [10, 2], [12, 1], [14, 1]], 1/33600], [[[1, 2], [2, 2], [6, 3], [8, 1], [10, 1], [14, 1]], 1/1451520], [[[1, 2], [2, 2], [6, 3], [8, 1], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 2], [6, 3], [10, 1], [12, 1], [18, 1]], 1/25920], [[[1, 2], [2, 2], [8, 1], [10, 1], [14, 1], [18, 1]], 1/20160], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 5]], 1/279936], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/1382400], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [9, 2]], 1/31104], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 5/14112], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [18, 2]], 5/93312], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [11, 1]], 41/608256], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 59/228096], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 23/746496], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/4147200], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 17/248832], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 1/193536], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 311/2239488], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 35/4478976], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 1/349920], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 635/13436928], [[[1, 2], [2, 4], [3, 1], [4, 1], [8, 1], [22, 1]], 1/4608], [[[1, 2], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 1/82944], [[[1, 2], [2, 4], [3, 1], [4, 1], [8, 2], [18, 1]], 1/82944], [[[1, 2], [2, 4], [3, 1], [4, 1], [10, 1], [22, 1]], 7/21120], [[[1, 2], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 11/67200], [[[1, 2], [2, 4], [3, 1], [4, 1], [10, 2], [18, 1]], 1/57600], [[[1, 2], [2, 4], [3, 1], [4, 1], [11, 1], [12, 1]], 1/101376], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 1/933120], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/48000], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [11, 1]], 1/22528], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 179/608256], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 17/147456], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/43200], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 529/3981312], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/387072], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 7/497664], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 83/497664], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 59/5971968], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 173/14929920], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 6419/71663616], [[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 7/460800], [[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/18432], [[[1, 2], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 1/24576], [[[1, 2], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 1/28800], [[[1, 2], [2, 4], [3, 1], [4, 2], [14, 1], [18, 1]], 1/48384], [[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 1/414720], [[[1, 2], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1/2764800], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 17/221184], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/102400], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/4608], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 11/387072], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 83/1492992], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 31/1327104], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 5/497664], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 205/1990656], [[[1, 2], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 1/18432], [[[1, 2], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/774144], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 1], [9, 1]], 1/331776], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 1/55296], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 1], [18, 1]], 1/497664], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 23/884736], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 31/3317760], [[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 343/1990656], [[[1, 2], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 7/147456], [[[1, 2], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 1/184320], [[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/294912], [[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 1/2211840], [[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/98304], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [11, 1]], 1/31680], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 3], [7, 1]], 1/161280], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/124416], [[[1, 2], [2, 4], [3, 1], [5, 1], [7, 1], [9, 1]], 1/725760], [[[1, 2], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 4], [3, 1], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 2], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/100800], [[[1, 2], [2, 4], [3, 1], [5, 2], [6, 2], [8, 1]], 17/2764800], [[[1, 2], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/115200], [[[1, 2], [2, 4], [3, 1], [5, 2], [8, 1], [12, 1]], 1/460800], [[[1, 2], [2, 4], [3, 1], [5, 2], [10, 1], [12, 1]], 1/19200], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [11, 1]], 1/16896], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 89/152064], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 2], [18, 1]], 1/20736], [[[1, 2], [2, 4], [3, 1], [6, 1], [10, 1], [11, 1]], 1/15840], [[[1, 2], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 23/31680], [[[1, 2], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 11/20160], [[[1, 2], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 1/6480], [[[1, 2], [2, 4], [3, 1], [6, 1], [11, 1], [12, 1]], 1/76032], [[[1, 2], [2, 4], [3, 1], [6, 1], [12, 1], [22, 1]], 1/76032], [[[1, 2], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/32400], [[[1, 2], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/34560], [[[1, 2], [2, 4], [3, 1], [6, 2], [10, 2], [12, 1]], 1/8640], [[[1, 2], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 11/13608], [[[1, 2], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 265/2612736], [[[1, 2], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 77/279936], [[[1, 2], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 367/1866240], [[[1, 2], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 79/233280], [[[1, 2], [2, 4], [3, 1], [6, 3], [12, 1], [14, 1]], 5/18144], [[[1, 2], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 41/186624], [[[1, 2], [2, 4], [3, 1], [6, 4], [8, 1], [10, 1]], 7/829440], [[[1, 2], [2, 4], [3, 1], [6, 4], [8, 1], [12, 1]], 17/1492992], [[[1, 2], [2, 4], [3, 1], [6, 4], [10, 1], [12, 1]], 1/31104], [[[1, 2], [2, 4], [3, 1], [7, 1], [8, 1], [9, 1]], 1/145152], [[[1, 2], [2, 4], [3, 1], [8, 1], [14, 1], [18, 1]], 1/36288], [[[1, 2], [2, 4], [3, 1], [10, 1], [14, 1], [18, 1]], 1/181440], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 13/3732480], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [11, 1]], 1/76032], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [22, 1]], 7/18432], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 5/165888], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 7/691200], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [12, 2]], 1/13824], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/580608], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 5/248832], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/13824], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 275/1492992], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 101/2239488], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [10, 1]], 1/3732480], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 41/279936], [[[1, 2], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 4], [3, 2], [4, 1], [8, 2], [12, 1]], 1/110592], [[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/276480], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 11/442368], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 11/3686400], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 67/221184], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 43/995328], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 23/516096], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 163/5971968], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 91/1990656], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 227/3317760], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 311/995328], [[[1, 2], [2, 4], [3, 2], [4, 2], [9, 1], [10, 1]], 1/103680], [[[1, 2], [2, 4], [3, 2], [4, 2], [9, 1], [12, 1]], 1/62208], [[[1, 2], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 1/69120], [[[1, 2], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/331776], [[[1, 2], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/552960], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/1161216], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1/497664], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 5/2322432], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 5/442368], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 29/1658880], [[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 19/110592], [[[1, 2], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1658880], [[[1, 2], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 17/2654208], [[[1, 2], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 1/6635520], [[[1, 2], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 1/49152], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 17/576000], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 13/1161216], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 1/155520], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 41/829440], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 19/1036800], [[[1, 2], [2, 4], [3, 2], [5, 1], [7, 1], [8, 1]], 1/483840], [[[1, 2], [2, 4], [3, 2], [5, 1], [7, 1], [12, 1]], 1/967680], [[[1, 2], [2, 4], [3, 2], [5, 1], [8, 1], [9, 1]], 1/103680], [[[1, 2], [2, 4], [3, 2], [6, 1], [8, 1], [10, 2]], 83/921600], [[[1, 2], [2, 4], [3, 2], [6, 1], [10, 2], [12, 1]], 1/172800], [[[1, 2], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/54432], [[[1, 2], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 17/1161216], [[[1, 2], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 29/497664], [[[1, 2], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 19/387072], [[[1, 2], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 95/1492992], [[[1, 2], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/25920], [[[1, 2], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 3679/8709120], [[[1, 2], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 43/186624], [[[1, 2], [2, 4], [3, 2], [6, 2], [12, 1], [14, 1]], 1/72576], [[[1, 2], [2, 4], [3, 2], [6, 2], [12, 1], [18, 1]], 1/93312], [[[1, 2], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 59/1244160], [[[1, 2], [2, 4], [3, 2], [6, 3], [8, 1], [12, 1]], 1/62208], [[[1, 2], [2, 4], [3, 2], [6, 3], [10, 1], [12, 1]], 17/124416], [[[1, 2], [2, 4], [3, 2], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 2], [2, 4], [3, 2], [8, 1], [9, 1], [12, 1]], 1/82944], [[[1, 2], [2, 4], [3, 3], [4, 1], [5, 1], [6, 3]], 1/311040], [[[1, 2], [2, 4], [3, 3], [4, 1], [5, 1], [7, 1]], 1/17418240], [[[1, 2], [2, 4], [3, 3], [4, 1], [5, 2], [6, 1]], 1/12441600], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/497664], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [10, 2]], 1/460800], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [12, 2]], 1/27648], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 49/1492992], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/21504], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 5/746496], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 19/497664], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 17/311040], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 107/373248], [[[1, 2], [2, 4], [3, 3], [4, 1], [7, 1], [8, 1]], 1/6967296], [[[1, 2], [2, 4], [3, 3], [4, 1], [9, 1], [12, 1]], 1/248832], [[[1, 2], [2, 4], [3, 3], [4, 2], [5, 1], [8, 1]], 1/1658880], [[[1, 2], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 1/737280], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 1/3483648], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 1/55296], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/387072], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 47/5971968], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/331776], [[[1, 2], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 989/7962624], [[[1, 2], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/552960], [[[1, 2], [2, 4], [3, 3], [4, 2], [8, 1], [12, 1]], 1/995328], [[[1, 2], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 7/11943936], [[[1, 2], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/24576], [[[1, 2], [2, 4], [3, 3], [5, 1], [6, 1], [7, 1]], 1/13063680], [[[1, 2], [2, 4], [3, 3], [5, 1], [6, 1], [9, 1]], 1/77760], [[[1, 2], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 11/373248], [[[1, 2], [2, 4], [3, 3], [5, 1], [6, 2], [12, 1]], 1/69120], [[[1, 2], [2, 4], [3, 3], [5, 1], [8, 1], [10, 1]], 7/4976640], [[[1, 2], [2, 4], [3, 3], [6, 1], [8, 1], [9, 1]], 5/186624], [[[1, 2], [2, 4], [3, 3], [6, 1], [8, 1], [14, 1]], 1/290304], [[[1, 2], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/38880], [[[1, 2], [2, 4], [3, 3], [6, 1], [9, 1], [12, 1]], 1/186624], [[[1, 2], [2, 4], [3, 3], [6, 1], [10, 1], [14, 1]], 1/1451520], [[[1, 2], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 7/829440], [[[1, 2], [2, 4], [3, 3], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 2], [2, 4], [3, 3], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 4], [3, 4], [4, 1], [5, 1], [6, 2]], 1/3732480], [[[1, 2], [2, 4], [3, 4], [4, 1], [5, 1], [8, 1]], 1/14929920], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 1], [7, 1]], 1/5225472], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 1], [9, 1]], 13/2239488], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 2], [8, 1]], 1/1492992], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 23/1244160], [[[1, 2], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 1/15552], [[[1, 2], [2, 4], [3, 4], [4, 2], [5, 1], [6, 1]], 1/7464960], [[[1, 2], [2, 4], [3, 4], [4, 2], [6, 1], [8, 1]], 1/995328], [[[1, 2], [2, 4], [3, 4], [4, 2], [6, 1], [10, 1]], 1/1244160], [[[1, 2], [2, 4], [3, 4], [4, 2], [6, 1], [12, 1]], 35/11943936], [[[1, 2], [2, 4], [3, 4], [5, 1], [6, 1], [8, 1]], 1/7464960], [[[1, 2], [2, 4], [3, 4], [5, 1], [6, 1], [10, 1]], 1/933120], [[[1, 2], [2, 4], [3, 4], [6, 1], [8, 1], [12, 1]], 1/497664], [[[1, 2], [2, 4], [3, 5], [4, 1], [6, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [11, 1]], 1/21120], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/27000], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 7/311040], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 7/116640], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 1/622080], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 1/82944], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 4], [12, 1]], 1/155520], [[[1, 2], [2, 4], [4, 1], [5, 1], [7, 1], [9, 1]], 1/241920], [[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 11/32000], [[[1, 2], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 2], [2, 4], [4, 1], [5, 1], [14, 1], [18, 1]], 1/30240], [[[1, 2], [2, 4], [4, 1], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 2], [2, 4], [4, 1], [5, 2], [6, 1], [9, 1]], 1/172800], [[[1, 2], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/86400], [[[1, 2], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [11, 1]], 5/50688], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 7/16896], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 2], [9, 1]], 1/27648], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 3/7168], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/6912], [[[1, 2], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 1/3520], [[[1, 2], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4800], [[[1, 2], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 7/86400], [[[1, 2], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 7/27648], [[[1, 2], [2, 4], [4, 1], [6, 1], [12, 2], [14, 1]], 1/24192], [[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/230400], [[[1, 2], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 1/36864], [[[1, 2], [2, 4], [4, 1], [6, 2], [10, 1], [12, 2]], 1/17280], [[[1, 2], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 127/1036800], [[[1, 2], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 11/36288], [[[1, 2], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 113/1161216], [[[1, 2], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184], [[[1, 2], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 73/1161216], [[[1, 2], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 23/163296], [[[1, 2], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 683/2239488], [[[1, 2], [2, 4], [4, 1], [6, 4], [8, 1], [10, 1]], 1/497664], [[[1, 2], [2, 4], [4, 1], [6, 4], [8, 1], [12, 1]], 1/373248], [[[1, 2], [2, 4], [4, 1], [6, 4], [10, 1], [12, 1]], 1/62208], [[[1, 2], [2, 4], [4, 1], [7, 1], [8, 1], [9, 1]], 1/96768], [[[1, 2], [2, 4], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200], [[[1, 2], [2, 4], [4, 1], [8, 1], [14, 1], [18, 1]], 5/16128], [[[1, 2], [2, 4], [4, 1], [10, 1], [14, 1], [18, 1]], 29/80640], [[[1, 2], [2, 4], [4, 1], [12, 1], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/15360], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 19/96000], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 2], [7, 1]], 1/80640], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 1/17280], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 49/4976640], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1411/99532800], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 3], [12, 1]], 1/69120], [[[1, 2], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 2], [2, 4], [4, 2], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 2], [2, 4], [4, 2], [5, 1], [8, 1], [9, 1]], 1/23040], [[[1, 2], [2, 4], [4, 2], [5, 1], [8, 1], [18, 1]], 1/69120], [[[1, 2], [2, 4], [4, 2], [5, 1], [9, 1], [10, 1]], 1/10240], [[[1, 2], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/6400], [[[1, 2], [2, 4], [4, 2], [5, 1], [10, 1], [18, 1]], 67/1382400], [[[1, 2], [2, 4], [4, 2], [6, 1], [7, 1], [9, 1]], 1/48384], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/30720], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 1/55296], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/24576], [[[1, 2], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/34560], [[[1, 2], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 161/1843200], [[[1, 2], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 53/193536], [[[1, 2], [2, 4], [4, 2], [6, 2], [8, 1], [9, 1]], 1/41472], [[[1, 2], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 5/96768], [[[1, 2], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 23/82944], [[[1, 2], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 17/645120], [[[1, 2], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 41/207360], [[[1, 2], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 509/2322432], [[[1, 2], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 125/995328], [[[1, 2], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 7/829440], [[[1, 2], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 227/1492992], [[[1, 2], [2, 4], [4, 2], [6, 3], [10, 1], [12, 1]], 1049/14929920], [[[1, 2], [2, 4], [4, 2], [8, 1], [9, 1], [10, 1]], 1/7680], [[[1, 2], [2, 4], [4, 2], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 2], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/3072], [[[1, 2], [2, 4], [4, 2], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 2], [2, 4], [4, 2], [8, 1], [12, 1], [18, 1]], 1/41472], [[[1, 2], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 4], [4, 2], [10, 1], [12, 1], [18, 1]], 1/25920], [[[1, 2], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 2], [2, 4], [4, 3], [5, 1], [6, 1], [18, 1]], 1/69120], [[[1, 2], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1658880], [[[1, 2], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 29/307200], [[[1, 2], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 1/7680], [[[1, 2], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 4], [4, 3], [6, 1], [8, 1], [9, 1]], 7/165888], [[[1, 2], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/36864], [[[1, 2], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 19/331776], [[[1, 2], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 17/483840], [[[1, 2], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 7/207360], [[[1, 2], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/43008], [[[1, 2], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 1/41472], [[[1, 2], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 19/552960], [[[1, 2], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 1/24576], [[[1, 2], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 1/55296], [[[1, 2], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 2], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 23/1843200], [[[1, 2], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 19/147456], [[[1, 2], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/122880], [[[1, 2], [2, 4], [5, 1], [6, 1], [7, 1], [9, 1]], 1/181440], [[[1, 2], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 4], [5, 1], [6, 1], [10, 2], [12, 1]], 17/96000], [[[1, 2], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 4], [5, 1], [6, 2], [9, 1], [10, 1]], 1/25920], [[[1, 2], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/7200], [[[1, 2], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 7/43200], [[[1, 2], [2, 4], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 4], [5, 1], [6, 2], [12, 1], [18, 1]], 1/25920], [[[1, 2], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1658880], [[[1, 2], [2, 4], [5, 1], [6, 3], [10, 1], [12, 1]], 1/19200], [[[1, 2], [2, 4], [5, 1], [8, 1], [9, 1], [10, 1]], 7/69120], [[[1, 2], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 2], [2, 4], [5, 1], [8, 1], [10, 1], [18, 1]], 1/23040], [[[1, 2], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 2], [2, 4], [6, 1], [8, 1], [10, 2], [12, 1]], 1/51200], [[[1, 2], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/1792], [[[1, 2], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 71/120960], [[[1, 2], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/96768], [[[1, 2], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 23/103680], [[[1, 2], [2, 4], [6, 2], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 4], [6, 2], [8, 1], [12, 1], [18, 1]], 5/82944], [[[1, 2], [2, 4], [6, 2], [10, 1], [12, 1], [14, 1]], 23/161280], [[[1, 2], [2, 4], [6, 2], [10, 1], [12, 1], [18, 1]], 7/51840], [[[1, 2], [2, 4], [6, 3], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 601/111974400], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/12800], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 161/110592000], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 2], [12, 1]], 1/18432000], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [11, 1]], 23/6082560], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 721/3649536], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 521/15925248], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 23/86400], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 5/3981312], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 263/1244160], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1709/6718464], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 10699/179159040], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 16019/179159040], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 20387/214990848], [[[1, 2], [2, 6], [3, 1], [4, 1], [7, 1], [9, 1]], 1/5806080], [[[1, 2], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 19/460800], [[[1, 2], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 1/294912], [[[1, 2], [2, 6], [3, 1], [4, 1], [14, 1], [18, 1]], 1/120960], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/466560], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [9, 1]], 1/8294400], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [14, 1]], 1/403200], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/36864], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 241/2764800], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 23/7464960], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 23/4423680], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 37/207360], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 115/995328], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 751/11943936], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 647/7464960], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 2693/35831808], [[[1, 2], [2, 6], [3, 1], [4, 2], [7, 1], [12, 1]], 1/5160960], [[[1, 2], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 1/552960], [[[1, 2], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 19/387072], [[[1, 2], [2, 6], [3, 1], [4, 2], [8, 1], [18, 1]], 1/331776], [[[1, 2], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 457/3870720], [[[1, 2], [2, 6], [3, 1], [4, 2], [10, 1], [18, 1]], 1/207360], [[[1, 2], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 1/241920], [[[1, 2], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1/414720], [[[1, 2], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/184320], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 11/215040], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 233/14929920], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 221/3538944], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 131/2488320], [[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1159/19906560], [[[1, 2], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 7/552960], [[[1, 2], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 7/1769472], [[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 23/884736], [[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 59/6635520], [[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 1421/59719680], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 17/57600], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 2], [7, 1]], 107/77414400], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 49/829440], [[[1, 2], [2, 6], [3, 1], [5, 1], [7, 1], [12, 1]], 1/38707200], [[[1, 2], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/414720], [[[1, 2], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 1/1382400], [[[1, 2], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 2], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 763/4147200], [[[1, 2], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/138240], [[[1, 2], [2, 6], [3, 1], [6, 1], [10, 2], [12, 1]], 1/691200], [[[1, 2], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 137/1088640], [[[1, 2], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 2101/8709120], [[[1, 2], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 169/1244160], [[[1, 2], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 7187/8709120], [[[1, 2], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 97/155520], [[[1, 2], [2, 6], [3, 1], [6, 2], [12, 1], [14, 1]], 97/1451520], [[[1, 2], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 1/373248], [[[1, 2], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1717/12441600], [[[1, 2], [2, 6], [3, 1], [6, 3], [8, 1], [12, 1]], 1/124416], [[[1, 2], [2, 6], [3, 1], [6, 3], [10, 1], [12, 1]], 13/103680], [[[1, 2], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 67/2419200], [[[1, 2], [2, 6], [3, 1], [8, 1], [10, 1], [18, 1]], 1/518400], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1243/99532800], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [7, 1]], 1/19353600], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [9, 1]], 1/4147200], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 19/5308416], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 449/4423680], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [12, 2]], 1/442368], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 23/6635520], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 67/6635520], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 527/3096576], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 1015/11943936], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1801/35831808], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 479/4976640], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1441/23887872], [[[1, 2], [2, 6], [3, 2], [4, 1], [7, 1], [12, 1]], 1/7741440], [[[1, 2], [2, 6], [3, 2], [4, 1], [8, 1], [9, 1]], 13/9953280], [[[1, 2], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/483840], [[[1, 2], [2, 6], [3, 2], [4, 1], [9, 1], [12, 1]], 1/3317760], [[[1, 2], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 59/22118400], [[[1, 2], [2, 6], [3, 2], [4, 2], [5, 1], [12, 1]], 1/11059200], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 11/4976640], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 211/13271040], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 1], [18, 1]], 7/746496], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 757/19906560], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 2021/39813120], [[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 383/3317760], [[[1, 2], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 1/737280], [[[1, 2], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 19/3538944], [[[1, 2], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 143/33177600], [[[1, 2], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2903040], [[[1, 2], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 1/2419200], [[[1, 2], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/165888], [[[1, 2], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 203/8294400], [[[1, 2], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 1/276480], [[[1, 2], [2, 6], [3, 2], [5, 1], [10, 1], [12, 1]], 1/552960], [[[1, 2], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 1/580608], [[[1, 2], [2, 6], [3, 2], [6, 1], [8, 1], [9, 1]], 1/248832], [[[1, 2], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 1/276480], [[[1, 2], [2, 6], [3, 2], [6, 1], [8, 1], [18, 1]], 1/1866240], [[[1, 2], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 20413/696729600], [[[1, 2], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 7/466560], [[[1, 2], [2, 6], [3, 2], [6, 1], [12, 1], [14, 1]], 1/1451520], [[[1, 2], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 37/1244160], [[[1, 2], [2, 6], [3, 2], [6, 2], [8, 1], [12, 1]], 1/2488320], [[[1, 2], [2, 6], [3, 2], [6, 2], [10, 1], [12, 1]], 1/622080], [[[1, 2], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 1/12441600], [[[1, 2], [2, 6], [3, 3], [4, 1], [5, 1], [10, 1]], 7/66355200], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 1/622080], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 1/967680], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 79/19906560], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 227/19906560], [[[1, 2], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 497/23887872], [[[1, 2], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 7/11943936], [[[1, 2], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/1658880], [[[1, 2], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 61/19906560], [[[1, 2], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 1/7464960], [[[1, 2], [2, 6], [3, 3], [6, 1], [8, 1], [10, 1]], 1/4147200], [[[1, 2], [2, 6], [3, 4], [4, 1], [5, 1], [6, 1]], 1/298598400], [[[1, 2], [2, 6], [3, 4], [4, 1], [6, 1], [8, 1]], 1/11943936], [[[1, 2], [2, 6], [3, 4], [4, 1], [6, 1], [12, 1]], 131/119439360], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 23/108000], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 83/3628800], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/43200], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/311040], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 12779/331776000], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 3], [12, 1]], 1/414720], [[[1, 2], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 13/12902400], [[[1, 2], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/268800], [[[1, 2], [2, 6], [4, 1], [5, 1], [9, 1], [10, 1]], 7/921600], [[[1, 2], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 73/504000], [[[1, 2], [2, 6], [4, 1], [5, 1], [10, 1], [18, 1]], 257/13824000], [[[1, 2], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 11/345600], [[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 131/460800], [[[1, 2], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 1/294912], [[[1, 2], [2, 6], [4, 1], [6, 1], [10, 1], [12, 2]], 1/345600], [[[1, 2], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 5197/33177600], [[[1, 2], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 445/1161216], [[[1, 2], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 65/193536], [[[1, 2], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 43/221184], [[[1, 2], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 251/552960], [[[1, 2], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 85/165888], [[[1, 2], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 11881/69672960], [[[1, 2], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 91/1105920], [[[1, 2], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 133/995328], [[[1, 2], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 151/2985984], [[[1, 2], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1799/12441600], [[[1, 2], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 139/286720], [[[1, 2], [2, 6], [4, 1], [8, 1], [10, 1], [18, 1]], 1/13824], [[[1, 2], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 1/161280], [[[1, 2], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 67/1209600], [[[1, 2], [2, 6], [4, 1], [10, 1], [12, 1], [18, 1]], 1/259200], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 11/6451200], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/34560], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 11/518400], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/165888], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 577/8294400], [[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 1/691200], [[[1, 2], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 7/153600], [[[1, 2], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [9, 1]], 5/331776], [[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 5/27648], [[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 37/331776], [[[1, 2], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 19/53760], [[[1, 2], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 3/20480], [[[1, 2], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 2831/46448640], [[[1, 2], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 17/622080], [[[1, 2], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 61/276480], [[[1, 2], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 175/3981312], [[[1, 2], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 391/3981312], [[[1, 2], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/61440], [[[1, 2], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 241/8294400], [[[1, 2], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 23/276480], [[[1, 2], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/196608], [[[1, 2], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 7/614400], [[[1, 2], [2, 6], [5, 1], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 2], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5600], [[[1, 2], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 59/691200], [[[1, 2], [2, 6], [5, 1], [6, 1], [12, 1], [14, 1]], 1/403200], [[[1, 2], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 13/276480], [[[1, 2], [2, 6], [5, 1], [6, 2], [10, 1], [12, 1]], 3/102400], [[[1, 2], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 5/13824], [[[1, 2], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 13/51840], [[[1, 2], [2, 6], [6, 1], [8, 1], [12, 1], [14, 1]], 1/107520], [[[1, 2], [2, 6], [6, 1], [10, 1], [12, 1], [14, 1]], 131/1843200], [[[1, 2], [2, 6], [6, 2], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 289/223948800], [[[1, 2], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 1/55296000], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 251/119439360], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1667/11059200], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 2573/23224320], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 14171/268738560], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 43643/1672151040], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 257419/1567641600], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 91937/7524679680], [[[1, 2], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 199/69672960], [[[1, 2], [2, 8], [3, 1], [4, 1], [8, 1], [18, 1]], 1/69672960], [[[1, 2], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 2453/87091200], [[[1, 2], [2, 8], [3, 1], [4, 1], [10, 1], [18, 1]], 23/43545600], [[[1, 2], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/6220800], [[[1, 2], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1/12096000], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/15482880], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/6635520], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 193/6635520], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 107/11943936], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1057/53084160], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 39449/696729600], [[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 251/47775744], [[[1, 2], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 13/1382400], [[[1, 2], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 1/8847360], [[[1, 2], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 1/7257600], [[[1, 2], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 1/16588800], [[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 5/884736], [[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 55367/4180377600], [[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 133/79626240], [[[1, 2], [2, 8], [3, 1], [5, 1], [6, 1], [7, 1]], 1/116121600], [[[1, 2], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1841/132710400], [[[1, 2], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 1/49766400], [[[1, 2], [2, 8], [3, 1], [5, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 2], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 587/52254720], [[[1, 2], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 89/156764160], [[[1, 2], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 181627/1463132160], [[[1, 2], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 23/1161216], [[[1, 2], [2, 8], [3, 1], [6, 1], [12, 1], [14, 1]], 1/5806080], [[[1, 2], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 19/403200], [[[1, 2], [2, 8], [3, 1], [6, 2], [8, 1], [12, 1]], 29/139345920], [[[1, 2], [2, 8], [3, 1], [6, 2], [10, 1], [12, 1]], 59/7741440], [[[1, 2], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 113/696729600], [[[1, 2], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 1/11059200], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/23224320], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 1/9953280], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 109/15482880], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/7464960], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 127/39813120], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 3119/99532800], [[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 143/139345920], [[[1, 2], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/14515200], [[[1, 2], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 1/30965760], [[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 235/222953472], [[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 5753/2786918400], [[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 247/334430208], [[[1, 2], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 3079/4644864000], [[[1, 2], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 1387/2090188800], [[[1, 2], [2, 8], [3, 2], [6, 1], [10, 1], [12, 1]], 1/43545600], [[[1, 2], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/557383680], [[[1, 2], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 23/348364800], [[[1, 2], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/39813120], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 229/87091200], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 23/52254720], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4147200], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 10373/387072000], [[[1, 2], [2, 8], [4, 1], [5, 1], [6, 2], [12, 1]], 1/14515200], [[[1, 2], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 2839/1161216000], [[[1, 2], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 1/24883200], [[[1, 2], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 941/15482880], [[[1, 2], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 43/2211840], [[[1, 2], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 787/2419200], [[[1, 2], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 583/4147200], [[[1, 2], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 437/41803776], [[[1, 2], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 23/31352832], [[[1, 2], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 4537/33177600], [[[1, 2], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 49/9953280], [[[1, 2], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 4217/116121600], [[[1, 2], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 1/4838400], [[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 31/49766400], [[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 6803/497664000], [[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 1/77414400], [[[1, 2], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 1/12288], [[[1, 2], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 4247/1672151040], [[[1, 2], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 50489/4180377600], [[[1, 2], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/221184], [[[1, 2], [2, 8], [5, 1], [6, 1], [10, 1], [12, 1]], 31/86016000], [[[1, 2], [2, 8], [6, 1], [8, 1], [10, 1], [12, 1]], 23/38707200], [[[1, 2], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 13/391910400], [[[1, 2], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/87091200], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 353/81285120], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 391/1254113280], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 2497/1254113280], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 39971/1567641600], [[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 3211/15049359360], [[[1, 2], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 29/261273600], [[[1, 2], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/522547200], [[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 241/418037760], [[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 2533/597196800], [[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 577/20065812480], [[[1, 2], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 43/696729600], [[[1, 2], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 13/12902400], [[[1, 2], [2, 10], [3, 1], [6, 1], [8, 1], [12, 1]], 1/4180377600], [[[1, 2], [2, 10], [3, 1], [6, 1], [10, 1], [12, 1]], 1/174182400], [[[1, 2], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/20901888000], [[[1, 2], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 167/20065812480], [[[1, 2], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 1019/1672151040], [[[1, 2], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/12541132800], [[[1, 2], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1/348364800], [[[1, 2], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 137/82944000], [[[1, 2], [2, 10], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3483648000], [[[1, 2], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 21047/1393459200], [[[1, 2], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 151/3344302080], [[[1, 2], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 1327/1393459200], [[[1, 2], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 1/8622028800], [[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 3679/315319910400], [[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 43247/100329062400], [[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 17/37838389248], [[[1, 2], [3, 1], [4, 1], [6, 2], [8, 1], [11, 1]], 1/50688], [[[1, 2], [3, 1], [4, 1], [8, 1], [11, 1], [12, 1]], 1/8448], [[[1, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/5760], [[[1, 2], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/311040], [[[1, 2], [3, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/60480], [[[1, 2], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 1/2592], [[[1, 2], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 1/82944], [[[1, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/6912], [[[1, 2], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/373248], [[[1, 2], [3, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/483840], [[[1, 2], [3, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 2], [3, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1451520], [[[1, 2], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/124416], [[[1, 2], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/20736], [[[1, 2], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 2], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/41472], [[[1, 2], [4, 1], [5, 1], [7, 1], [8, 1], [9, 1]], 1/20160], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [12, 2]], 1/28800], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [7, 2]], 1/28224], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [18, 2]], 1/46656], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 3], [11, 1]], 1/152064], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 3], [22, 1]], 1/1368576], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 5], [18, 1]], 1/3359232], [[[1, 3], [2, 1], [3, 1], [4, 1], [7, 2], [12, 1]], 1/4704], [[[1, 3], [2, 1], [3, 1], [4, 1], [8, 1], [9, 2]], 1/10368], [[[1, 3], [2, 1], [3, 1], [4, 1], [9, 1], [11, 1]], 1/3168], [[[1, 3], [2, 1], [3, 1], [4, 1], [9, 2], [10, 1]], 1/19440], [[[1, 3], [2, 1], [3, 1], [4, 1], [9, 2], [12, 1]], 1/11664], [[[1, 3], [2, 1], [3, 1], [4, 1], [18, 1], [22, 1]], 1/19008], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [11, 1]], 1/21120], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 1/172800], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 2], [11, 1]], 1/202752], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 3], [8, 2]], 1/995328], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 3], [12, 2]], 1/10368], [[[1, 3], [2, 1], [3, 1], [4, 2], [8, 1], [11, 1]], 1/16896], [[[1, 3], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 1], [3, 1], [4, 2], [8, 2], [18, 1]], 1/13824], [[[1, 3], [2, 1], [3, 1], [4, 2], [11, 1], [12, 1]], 1/33792], [[[1, 3], [2, 1], [3, 1], [4, 3], [5, 2], [6, 2]], 1/5529600], [[[1, 3], [2, 1], [3, 1], [4, 3], [5, 2], [12, 1]], 1/921600], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [11, 1]], 1/25344], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [22, 1]], 1/304128], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 2], [12, 2]], 1/8192], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 3], [18, 1]], 1/746496], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 4], [12, 1]], 1/442368], [[[1, 3], [2, 1], [3, 1], [4, 3], [7, 1], [9, 1]], 1/41472], [[[1, 3], [2, 1], [3, 1], [4, 4], [6, 3], [12, 1]], 1/331776], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [7, 2]], 1/5880], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 2], [11, 1]], 1/31680], [[[1, 3], [2, 1], [3, 1], [5, 1], [11, 1], [12, 1]], 1/5280], [[[1, 3], [2, 1], [3, 1], [5, 2], [6, 2], [7, 1]], 1/50400], [[[1, 3], [2, 1], [3, 1], [5, 2], [6, 3], [8, 1]], 1/345600], [[[1, 3], [2, 1], [3, 1], [5, 2], [7, 1], [12, 1]], 1/8400], [[[1, 3], [2, 1], [3, 1], [6, 1], [7, 1], [11, 1]], 1/1848], [[[1, 3], [2, 1], [3, 1], [6, 1], [8, 1], [9, 2]], 1/23328], [[[1, 3], [2, 1], [3, 1], [6, 1], [9, 1], [11, 1]], 1/2376], [[[1, 3], [2, 1], [3, 1], [6, 2], [8, 1], [11, 1]], 1/101376], [[[1, 3], [2, 1], [3, 1], [8, 1], [11, 1], [12, 1]], 1/16896], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 5]], 1/1866240], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/46656], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [11, 1]], 1/25344], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 3], [12, 2]], 1/6912], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 5], [12, 1]], 1/373248], [[[1, 3], [2, 1], [3, 2], [4, 1], [7, 1], [12, 2]], 1/12096], [[[1, 3], [2, 1], [3, 2], [4, 1], [8, 1], [11, 1]], 1/25344], [[[1, 3], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 1], [3, 2], [4, 1], [9, 1], [12, 2]], 1/15552], [[[1, 3], [2, 1], [3, 2], [4, 1], [10, 1], [11, 1]], 1/47520], [[[1, 3], [2, 1], [3, 2], [4, 1], [11, 1], [12, 1]], 31/114048], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2]], 1/1382400], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 1/230400], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 1], [11, 1]], 1/25344], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 2], [8, 2]], 1/110592], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 2], [12, 2]], 5/13824], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 4], [12, 1]], 1/746496], [[[1, 3], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/72576], [[[1, 3], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [7, 1]], 1/2903040], [[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [9, 1]], 1/62208], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 65/221184], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 2], [7, 1]], 1/331776], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 2], [9, 1]], 1/2985984], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 2], [18, 1]], 1/497664], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 19/1327104], [[[1, 3], [2, 1], [3, 2], [4, 3], [7, 1], [12, 1]], 1/55296], [[[1, 3], [2, 1], [3, 2], [4, 3], [8, 1], [9, 1]], 1/41472], [[[1, 3], [2, 1], [3, 2], [4, 3], [9, 1], [10, 1]], 1/103680], [[[1, 3], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 1/55296], [[[1, 3], [2, 1], [3, 2], [4, 4], [6, 2], [12, 1]], 1/110592], [[[1, 3], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 1/1769472], [[[1, 3], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/73728], [[[1, 3], [2, 1], [3, 2], [5, 1], [6, 3], [7, 1]], 1/20160], [[[1, 3], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780], [[[1, 3], [2, 1], [3, 2], [6, 1], [8, 1], [11, 1]], 1/57024], [[[1, 3], [2, 1], [3, 2], [6, 1], [8, 1], [22, 1]], 17/304128], [[[1, 3], [2, 1], [3, 2], [6, 1], [11, 1], [12, 1]], 1/3168], [[[1, 3], [2, 1], [3, 2], [6, 2], [7, 1], [9, 1]], 1/18144], [[[1, 3], [2, 1], [3, 2], [6, 3], [7, 1], [8, 1]], 1/145152], [[[1, 3], [2, 1], [3, 2], [6, 3], [8, 1], [9, 1]], 1/186624], [[[1, 3], [2, 1], [3, 2], [6, 3], [8, 1], [18, 1]], 17/746496], [[[1, 3], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/3024], [[[1, 3], [2, 1], [3, 2], [7, 1], [9, 1], [12, 1]], 1/3024], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [12, 2]], 1/25920], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/4147200], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 2], [10, 1]], 1/2592000], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 2], [12, 1]], 1/1555200], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [11, 1]], 1/1368576], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [22, 1]], 1/152064], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 2], [12, 2]], 1/20736], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 3], [9, 1]], 1/373248], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 3], [18, 1]], 1/373248], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 4], [12, 1]], 1/1119744], [[[1, 3], [2, 1], [3, 3], [4, 2], [5, 1], [6, 3]], 1/414720], [[[1, 3], [2, 1], [3, 3], [4, 2], [5, 1], [7, 1]], 5/1161216], [[[1, 3], [2, 1], [3, 3], [4, 2], [5, 1], [9, 1]], 1/51840], [[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/110592], [[[1, 3], [2, 1], [3, 3], [4, 2], [6, 2], [7, 1]], 1/580608], [[[1, 3], [2, 1], [3, 3], [4, 2], [6, 2], [9, 1]], 1/165888], [[[1, 3], [2, 1], [3, 3], [4, 2], [7, 1], [8, 1]], 1/1161216], [[[1, 3], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 1/96768], [[[1, 3], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 1/41472], [[[1, 3], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 1/27648], [[[1, 3], [2, 1], [3, 3], [4, 3], [5, 1], [6, 2]], 7/4976640], [[[1, 3], [2, 1], [3, 3], [4, 3], [5, 1], [12, 1]], 7/829440], [[[1, 3], [2, 1], [3, 3], [4, 3], [6, 1], [9, 1]], 1/62208], [[[1, 3], [2, 1], [3, 3], [4, 3], [6, 2], [8, 1]], 1/331776], [[[1, 3], [2, 1], [3, 3], [4, 3], [6, 2], [12, 1]], 1/49152], [[[1, 3], [2, 1], [3, 3], [4, 3], [8, 1], [12, 1]], 1/55296], [[[1, 3], [2, 1], [3, 3], [5, 1], [6, 2], [9, 1]], 1/77760], [[[1, 3], [2, 1], [3, 3], [5, 1], [6, 3], [8, 1]], 1/311040], [[[1, 3], [2, 1], [3, 3], [5, 1], [7, 1], [8, 1]], 1/2903040], [[[1, 3], [2, 1], [3, 3], [5, 1], [7, 1], [10, 1]], 1/181440], [[[1, 3], [2, 1], [3, 3], [5, 1], [9, 1], [12, 1]], 1/12960], [[[1, 3], [2, 1], [3, 3], [5, 2], [6, 1], [8, 1]], 1/3110400], [[[1, 3], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/3402], [[[1, 3], [2, 1], [3, 3], [6, 2], [8, 1], [9, 1]], 1/248832], [[[1, 3], [2, 1], [3, 3], [6, 2], [8, 1], [18, 1]], 1/31104], [[[1, 3], [2, 1], [3, 3], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 3], [2, 1], [3, 3], [8, 1], [9, 1], [12, 1]], 1/41472], [[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [6, 3]], 1/207360], [[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [7, 1]], 1/311040], [[[1, 3], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 1/20736], [[[1, 3], [2, 1], [3, 4], [4, 1], [6, 2], [9, 1]], 1/62208], [[[1, 3], [2, 1], [3, 4], [4, 1], [6, 3], [8, 1]], 1/497664], [[[1, 3], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 1/31104], [[[1, 3], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 1/193536], [[[1, 3], [2, 1], [3, 4], [4, 1], [7, 1], [10, 1]], 1/1088640], [[[1, 3], [2, 1], [3, 4], [4, 1], [7, 1], [12, 1]], 1/653184], [[[1, 3], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 13/746496], [[[1, 3], [2, 1], [3, 4], [4, 1], [9, 1], [10, 1]], 1/93312], [[[1, 3], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 1/8748], [[[1, 3], [2, 1], [3, 4], [4, 2], [5, 1], [8, 1]], 1/2488320], [[[1, 3], [2, 1], [3, 4], [4, 2], [5, 1], [10, 1]], 1/2488320], [[[1, 3], [2, 1], [3, 4], [4, 2], [6, 1], [9, 1]], 1/46656], [[[1, 3], [2, 1], [3, 4], [4, 2], [6, 2], [12, 1]], 1/82944], [[[1, 3], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 49/11943936], [[[1, 3], [2, 1], [3, 4], [5, 1], [6, 1], [7, 1]], 1/181440], [[[1, 3], [2, 1], [3, 4], [6, 1], [7, 1], [8, 1]], 1/1306368], [[[1, 3], [2, 1], [3, 4], [6, 1], [7, 1], [12, 1]], 1/18144], [[[1, 3], [2, 1], [3, 4], [6, 1], [8, 1], [9, 1]], 5/559872], [[[1, 3], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 1/7776], [[[1, 3], [2, 1], [3, 5], [4, 1], [5, 1], [10, 1]], 1/2332800], [[[1, 3], [2, 1], [3, 5], [4, 1], [5, 1], [12, 1]], 1/1399680], [[[1, 3], [2, 1], [3, 5], [4, 1], [6, 1], [9, 1]], 1/3359232], [[[1, 3], [2, 1], [3, 5], [4, 1], [6, 2], [10, 1]], 1/5598720], [[[1, 3], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 7/839808], [[[1, 3], [2, 1], [3, 5], [4, 1], [10, 1], [12, 1]], 1/933120], [[[1, 3], [2, 1], [3, 5], [4, 2], [5, 1], [6, 1]], 1/3732480], [[[1, 3], [2, 1], [3, 5], [4, 2], [6, 1], [12, 1]], 1/248832], [[[1, 3], [2, 1], [3, 5], [5, 1], [6, 1], [8, 1]], 1/2799360], [[[1, 3], [2, 1], [3, 5], [6, 1], [8, 1], [12, 1]], 1/1119744], [[[1, 3], [2, 1], [3, 6], [4, 1], [6, 1], [8, 1]], 1/4478976], [[[1, 3], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/1119744], [[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [7, 2]], 1/5880], [[[1, 3], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 1/17920], [[[1, 3], [2, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/7040], [[[1, 3], [2, 1], [4, 1], [5, 1], [10, 1], [11, 1]], 1/4400], [[[1, 3], [2, 1], [4, 1], [5, 1], [11, 1], [12, 1]], 1/2640], [[[1, 3], [2, 1], [4, 1], [5, 2], [6, 3], [10, 1]], 1/518400], [[[1, 3], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/22400], [[[1, 3], [2, 1], [4, 1], [5, 2], [7, 1], [10, 1]], 1/14000], [[[1, 3], [2, 1], [4, 1], [5, 2], [7, 1], [12, 1]], 1/8400], [[[1, 3], [2, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/57600], [[[1, 3], [2, 1], [4, 1], [5, 2], [9, 1], [10, 1]], 1/36000], [[[1, 3], [2, 1], [4, 1], [5, 2], [9, 1], [12, 1]], 1/21600], [[[1, 3], [2, 1], [4, 1], [5, 2], [10, 1], [18, 1]], 1/7200], [[[1, 3], [2, 1], [4, 1], [6, 1], [7, 1], [11, 1]], 1/1848], [[[1, 3], [2, 1], [4, 1], [6, 1], [9, 1], [11, 1]], 1/19008], [[[1, 3], [2, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/80640], [[[1, 3], [2, 1], [4, 2], [6, 1], [8, 1], [11, 1]], 7/50688], [[[1, 3], [2, 1], [4, 2], [7, 1], [8, 1], [9, 1]], 1/16128], [[[1, 3], [2, 1], [4, 3], [5, 1], [6, 3], [8, 1]], 1/829440], [[[1, 3], [2, 1], [4, 3], [5, 1], [6, 3], [10, 1]], 1/9953280], [[[1, 3], [2, 1], [4, 3], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 3], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 3], [2, 1], [4, 3], [5, 1], [8, 1], [18, 1]], 1/11520], [[[1, 3], [2, 1], [4, 3], [5, 1], [10, 1], [18, 1]], 1/138240], [[[1, 3], [2, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/9216], [[[1, 3], [2, 1], [4, 3], [6, 3], [8, 1], [12, 1]], 1/497664], [[[1, 3], [2, 1], [4, 3], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/294912], [[[1, 3], [2, 1], [5, 1], [6, 1], [8, 1], [11, 1]], 1/5280], [[[1, 3], [2, 1], [5, 1], [7, 1], [8, 1], [9, 1]], 1/40320], [[[1, 3], [2, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/2520], [[[1, 3], [2, 1], [5, 2], [6, 1], [7, 1], [8, 1]], 1/16800], [[[1, 3], [2, 1], [5, 2], [6, 1], [8, 1], [9, 1]], 1/43200], [[[1, 3], [2, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/50688], [[[1, 3], [2, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/8709120], [[[1, 3], [2, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/124416], [[[1, 3], [2, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/120960], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 5]], 11/1399680], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [22, 1]], 1/3960], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 3]], 1/460800], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/43200], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/14112], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/4608], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 7/93312], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/14112], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 7/93312], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [11, 1]], 259/1216512], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 25/228096], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 17/497664], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 1/4147200], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [12, 2]], 25/165888], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 4], [7, 1]], 1/290304], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 4], [14, 1]], 19/5225472], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 103/2239488], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 5], [8, 1]], 5/4478976], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 5], [10, 1]], 1/2239488], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 5], [12, 1]], 385/26873856], [[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1], [12, 2]], 1/16128], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [22, 1]], 1/2816], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 2], [18, 1]], 1/13824], [[[1, 3], [2, 3], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560], [[[1, 3], [2, 3], [3, 1], [4, 1], [10, 1], [22, 1]], 1/4224], [[[1, 3], [2, 3], [3, 1], [4, 1], [10, 2], [14, 1]], 1/13440], [[[1, 3], [2, 3], [3, 1], [4, 1], [10, 2], [18, 1]], 1/57600], [[[1, 3], [2, 3], [3, 1], [4, 1], [11, 1], [12, 1]], 17/67584], [[[1, 3], [2, 3], [3, 1], [4, 1], [12, 1], [22, 1]], 1/9504], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 4]], 1/1244160], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/48000], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/11520], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/409600], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 11/64000], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 31/368640], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 29/202752], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 29/202752], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 137/1327104], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/691200], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 101/331776], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/193536], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 1/248832], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 7/82944], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 4], [8, 1]], 7/1990656], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 4], [10, 1]], 7/5971968], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 67/746496], [[[1, 3], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/21504], [[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 1/9216], [[[1, 3], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 19/73728], [[[1, 3], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 1/28800], [[[1, 3], [2, 3], [3, 1], [4, 2], [14, 1], [18, 1]], 1/24192], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/161280], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 17/414720], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/13440], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/172800], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/172800], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/4608], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/86016], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 5/580608], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 5/62208], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 5/497664], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 13/2488320], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 7/73728], [[[1, 3], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 3], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/14336], [[[1, 3], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 23/110592], [[[1, 3], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 3], [3, 1], [4, 3], [8, 1], [18, 1]], 1/55296], [[[1, 3], [2, 3], [3, 1], [4, 3], [9, 1], [10, 1]], 1/34560], [[[1, 3], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 3], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 43/967680], [[[1, 3], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 1/245760], [[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 1/40960], [[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/184320], [[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/368640], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 5/774144], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [9, 1]], 1/110592], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 5/774144], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 1/110592], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 37/1769472], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/552960], [[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 91/1327104], [[[1, 3], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 5/294912], [[[1, 3], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 1/552960], [[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/27648], [[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/552960], [[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 11/294912], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/3520], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 1/11520], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 3], [7, 1]], 1/48384], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 3], [9, 1]], 1/38880], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/9720], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 4], [10, 1]], 97/9331200], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 4], [12, 1]], 1/51840], [[[1, 3], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 1/20160], [[[1, 3], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4800], [[[1, 3], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 3], [3, 1], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 11/100800], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 1/16200], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 263/2764800], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 17/576000], [[[1, 3], [2, 3], [3, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 3], [2, 3], [3, 1], [5, 2], [8, 1], [12, 1]], 7/460800], [[[1, 3], [2, 3], [3, 1], [5, 2], [10, 1], [12, 1]], 17/96000], [[[1, 3], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 19/50688], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [22, 1]], 19/50688], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 2], [9, 1]], 1/6912], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 2], [18, 1]], 1/6912], [[[1, 3], [2, 3], [3, 1], [6, 1], [10, 1], [11, 1]], 1/5280], [[[1, 3], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/3520], [[[1, 3], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 11/100800], [[[1, 3], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 1/16200], [[[1, 3], [2, 3], [3, 1], [6, 1], [11, 1], [12, 1]], 1/12672], [[[1, 3], [2, 3], [3, 1], [6, 1], [12, 1], [22, 1]], 1/12672], [[[1, 3], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 3], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 1/172800], [[[1, 3], [2, 3], [3, 1], [6, 2], [10, 2], [12, 1]], 1/21600], [[[1, 3], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/6804], [[[1, 3], [2, 3], [3, 1], [6, 3], [7, 1], [8, 1]], 1/193536], [[[1, 3], [2, 3], [3, 1], [6, 3], [8, 1], [14, 1]], 25/1741824], [[[1, 3], [2, 3], [3, 1], [6, 3], [8, 1], [18, 1]], 25/124416], [[[1, 3], [2, 3], [3, 1], [6, 3], [10, 1], [14, 1]], 5/435456], [[[1, 3], [2, 3], [3, 1], [6, 3], [10, 1], [18, 1]], 1/7776], [[[1, 3], [2, 3], [3, 1], [6, 3], [12, 1], [14, 1]], 1/36288], [[[1, 3], [2, 3], [3, 1], [6, 3], [12, 1], [18, 1]], 1/10368], [[[1, 3], [2, 3], [3, 1], [6, 4], [8, 1], [10, 1]], 1/933120], [[[1, 3], [2, 3], [3, 1], [6, 4], [8, 1], [12, 1]], 1/82944], [[[1, 3], [2, 3], [3, 1], [6, 4], [10, 1], [12, 1]], 1/103680], [[[1, 3], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/20736], [[[1, 3], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 3], [2, 3], [3, 1], [8, 1], [14, 1], [18, 1]], 1/24192], [[[1, 3], [2, 3], [3, 1], [10, 1], [14, 1], [18, 1]], 1/30240], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 1/34560], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/21600], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [12, 2]], 1/34560], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/345600], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/144000], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [12, 1]], 1/34560], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 25/228096], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [22, 1]], 259/1216512], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/4608], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 1/345600], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 1/41472], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 67/580608], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 29/746496], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 1/2612736], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 145/995328], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 95/4478976], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 1/1399680], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 29/139968], [[[1, 3], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/36288], [[[1, 3], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600], [[[1, 3], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 3], [3, 2], [4, 1], [14, 1], [18, 1]], 1/36288], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 107/3317760], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/71680], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/15360], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/691200], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 137/1327104], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/409600], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 101/331776], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/172032], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 103/1990656], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/172032], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 103/1990656], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 41/663552], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/51840], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 635/995328], [[[1, 3], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/16128], [[[1, 3], [2, 3], [3, 2], [4, 2], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 59/774144], [[[1, 3], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 11/124416], [[[1, 3], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128], [[[1, 3], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 209/995328], [[[1, 3], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 7/414720], [[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/414720], [[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 7/276480], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 5/580608], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 5/62208], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/86016], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 11/221184], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 7/414720], [[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 187/331776], [[[1, 3], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 107/663552], [[[1, 3], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/552960], [[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 37/1769472], [[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/245760], [[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 91/1327104], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 17/576000], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 353/1451520], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 13/103680], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/51840], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/10368], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 473/9331200], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [12, 1]], 1/51840], [[[1, 3], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 19/1451520], [[[1, 3], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 1/8400], [[[1, 3], [2, 3], [3, 2], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 3], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/7776], [[[1, 3], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 3], [2, 3], [3, 2], [5, 1], [9, 1], [12, 1]], 1/17280], [[[1, 3], [2, 3], [3, 2], [5, 1], [10, 1], [18, 1]], 1/25920], [[[1, 3], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 3], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 3], [2, 3], [3, 2], [5, 2], [6, 1], [12, 1]], 1/21600], [[[1, 3], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 1/6804], [[[1, 3], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 263/2764800], [[[1, 3], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 3], [2, 3], [3, 2], [6, 1], [10, 2], [12, 1]], 1/172800], [[[1, 3], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/54432], [[[1, 3], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 215/1161216], [[[1, 3], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 1/120960], [[[1, 3], [2, 3], [3, 2], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 3], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 373/1492992], [[[1, 3], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 215/1161216], [[[1, 3], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 373/1492992], [[[1, 3], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/51840], [[[1, 3], [2, 3], [3, 2], [6, 2], [9, 1], [12, 1]], 1/31104], [[[1, 3], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 353/1451520], [[[1, 3], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 13/103680], [[[1, 3], [2, 3], [3, 2], [6, 2], [12, 1], [14, 1]], 1/72576], [[[1, 3], [2, 3], [3, 2], [6, 2], [12, 1], [18, 1]], 1/31104], [[[1, 3], [2, 3], [3, 2], [6, 3], [8, 1], [10, 1]], 113/2488320], [[[1, 3], [2, 3], [3, 2], [6, 3], [8, 1], [12, 1]], 19/331776], [[[1, 3], [2, 3], [3, 2], [6, 3], [10, 1], [12, 1]], 7/103680], [[[1, 3], [2, 3], [3, 2], [7, 1], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 3], [3, 2], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 3], [2, 3], [3, 2], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 3], [3, 2], [8, 1], [9, 1], [12, 1]], 19/248832], [[[1, 3], [2, 3], [3, 2], [8, 1], [10, 1], [14, 1]], 1/24192], [[[1, 3], [2, 3], [3, 2], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 17/1244160], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 43/34836480], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/4147200], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 17/497664], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/460800], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [12, 2]], 25/165888], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/2612736], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 145/995328], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 67/580608], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 29/746496], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 11/124416], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 17/1244160], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 973/1492992], [[[1, 3], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/387072], [[[1, 3], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/53760], [[[1, 3], [2, 3], [3, 3], [4, 1], [7, 1], [12, 1]], 25/870912], [[[1, 3], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 3], [3, 3], [4, 1], [9, 1], [12, 1]], 83/497664], [[[1, 3], [2, 3], [3, 3], [4, 1], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/51840], [[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/829440], [[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 79/3686400], [[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [12, 1]], 13/622080], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/248832], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 7/82944], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/193536], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 41/663552], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 107/3317760], [[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 635/995328], [[[1, 3], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 5/165888], [[[1, 3], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 25/497664], [[[1, 3], [2, 3], [3, 3], [4, 2], [10, 1], [12, 1]], 1/69120], [[[1, 3], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 13/2488320], [[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 5/497664], [[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 7/73728], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 5/435456], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/7776], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 113/2488320], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 473/9331200], [[[1, 3], [2, 3], [3, 3], [5, 1], [6, 2], [12, 1]], 7/103680], [[[1, 3], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 1/552960], [[[1, 3], [2, 3], [3, 3], [5, 1], [8, 1], [12, 1]], 1/414720], [[[1, 3], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 25/1741824], [[[1, 3], [2, 3], [3, 3], [6, 1], [7, 1], [12, 1]], 1/36288], [[[1, 3], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 25/124416], [[[1, 3], [2, 3], [3, 3], [6, 1], [8, 1], [14, 1]], 1/193536], [[[1, 3], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/9720], [[[1, 3], [2, 3], [3, 3], [6, 1], [9, 1], [12, 1]], 1/10368], [[[1, 3], [2, 3], [3, 3], [6, 1], [10, 1], [14, 1]], 1/48384], [[[1, 3], [2, 3], [3, 3], [6, 1], [10, 1], [18, 1]], 1/38880], [[[1, 3], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/10368], [[[1, 3], [2, 3], [3, 3], [6, 2], [8, 1], [12, 1]], 19/331776], [[[1, 3], [2, 3], [3, 3], [6, 2], [10, 1], [12, 1]], 1/51840], [[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 1/1399680], [[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [8, 1]], 1/829440], [[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 7/2073600], [[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [12, 1]], 1/1866240], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 19/5225472], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 103/2239488], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 1/290304], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 95/4478976], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/34560], [[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 29/139968], [[[1, 3], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 1/622080], [[[1, 3], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 7/5971968], [[[1, 3], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 7/1990656], [[[1, 3], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 1/1244160], [[[1, 3], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 67/746496], [[[1, 3], [2, 3], [3, 4], [5, 1], [6, 1], [8, 1]], 1/933120], [[[1, 3], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 97/9331200], [[[1, 3], [2, 3], [3, 4], [5, 1], [6, 1], [12, 1]], 1/103680], [[[1, 3], [2, 3], [3, 4], [6, 1], [8, 1], [12, 1]], 1/82944], [[[1, 3], [2, 3], [3, 4], [6, 1], [10, 1], [12, 1]], 1/51840], [[[1, 3], [2, 3], [3, 5], [4, 1], [5, 1], [6, 1]], 1/2239488], [[[1, 3], [2, 3], [3, 5], [4, 1], [6, 1], [8, 1]], 5/4478976], [[[1, 3], [2, 3], [3, 5], [4, 1], [6, 1], [10, 1]], 11/1399680], [[[1, 3], [2, 3], [3, 5], [4, 1], [6, 1], [12, 1]], 385/26873856], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [11, 1]], 1/4224], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/144000], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 3], [7, 1]], 1/60480], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/53760], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/12960], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 4], [8, 1]], 1/622080], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 4], [10, 1]], 7/2073600], [[[1, 3], [2, 3], [4, 1], [5, 1], [7, 1], [9, 1]], 43/483840], [[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 17/64000], [[[1, 3], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2400], [[[1, 3], [2, 3], [4, 1], [5, 1], [14, 1], [18, 1]], 1/6720], [[[1, 3], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/13440], [[[1, 3], [2, 3], [4, 1], [5, 2], [6, 1], [9, 1]], 1/57600], [[[1, 3], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600], [[[1, 3], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/21600], [[[1, 3], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 17/64000], [[[1, 3], [2, 3], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200], [[[1, 3], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2400], [[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/10752], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [11, 1]], 1/2816], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 2], [9, 1]], 1/13824], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 1/13824], [[[1, 3], [2, 3], [4, 1], [6, 1], [10, 1], [11, 1]], 1/3960], [[[1, 3], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 1/43200], [[[1, 3], [2, 3], [4, 1], [6, 1], [11, 1], [12, 1]], 1/9504], [[[1, 3], [2, 3], [4, 1], [6, 1], [12, 1], [22, 1]], 17/67584], [[[1, 3], [2, 3], [4, 1], [6, 1], [12, 2], [14, 1]], 1/16128], [[[1, 3], [2, 3], [4, 1], [6, 2], [7, 1], [9, 1]], 1/36288], [[[1, 3], [2, 3], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 3], [4, 1], [6, 2], [10, 1], [12, 2]], 1/34560], [[[1, 3], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 1/34560], [[[1, 3], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/36288], [[[1, 3], [2, 3], [4, 1], [6, 3], [8, 1], [14, 1]], 1/387072], [[[1, 3], [2, 3], [4, 1], [6, 3], [10, 1], [14, 1]], 43/34836480], [[[1, 3], [2, 3], [4, 1], [6, 3], [12, 1], [14, 1]], 25/870912], [[[1, 3], [2, 3], [4, 1], [6, 3], [12, 1], [18, 1]], 83/497664], [[[1, 3], [2, 3], [4, 1], [6, 4], [8, 1], [10, 1]], 1/829440], [[[1, 3], [2, 3], [4, 1], [6, 4], [10, 1], [12, 1]], 1/1866240], [[[1, 3], [2, 3], [4, 1], [7, 1], [8, 1], [9, 1]], 1/5376], [[[1, 3], [2, 3], [4, 1], [7, 1], [9, 1], [10, 1]], 1/6720], [[[1, 3], [2, 3], [4, 1], [7, 1], [9, 1], [12, 1]], 1/12096], [[[1, 3], [2, 3], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200], [[[1, 3], [2, 3], [4, 1], [8, 1], [14, 1], [18, 1]], 1/5376], [[[1, 3], [2, 3], [4, 1], [10, 1], [14, 1], [18, 1]], 43/483840], [[[1, 3], [2, 3], [4, 1], [12, 1], [14, 1], [18, 1]], 1/12096], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/5120], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 11/64000], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 2], [14, 1]], 1/40320], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 5/165888], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 79/3686400], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 3], [12, 1]], 1/69120], [[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 47/161280], [[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 3/22400], [[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/4480], [[[1, 3], [2, 3], [4, 2], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 3], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/8960], [[[1, 3], [2, 3], [4, 2], [5, 1], [8, 1], [18, 1]], 1/11520], [[[1, 3], [2, 3], [4, 2], [5, 1], [9, 1], [10, 1]], 29/153600], [[[1, 3], [2, 3], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 3], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 3/22400], [[[1, 3], [2, 3], [4, 2], [5, 1], [10, 1], [18, 1]], 29/153600], [[[1, 3], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/48000], [[[1, 3], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 3], [2, 3], [4, 2], [6, 1], [7, 1], [9, 1]], 1/24192], [[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 1/9216], [[[1, 3], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 19/73728], [[[1, 3], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 1/11520], [[[1, 3], [2, 3], [4, 2], [6, 1], [10, 2], [12, 1]], 31/368640], [[[1, 3], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/21504], [[[1, 3], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 3], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/16128], [[[1, 3], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 11/124416], [[[1, 3], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/15360], [[[1, 3], [2, 3], [4, 2], [6, 2], [12, 1], [14, 1]], 59/774144], [[[1, 3], [2, 3], [4, 2], [6, 2], [12, 1], [18, 1]], 209/995328], [[[1, 3], [2, 3], [4, 2], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 3], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 25/497664], [[[1, 3], [2, 3], [4, 2], [6, 3], [10, 1], [12, 1]], 13/622080], [[[1, 3], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 3], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 3], [2, 3], [4, 2], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 3], [2, 3], [4, 2], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 3], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 47/161280], [[[1, 3], [2, 3], [4, 2], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 3], [2, 3], [4, 2], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 1/4480], [[[1, 3], [2, 3], [4, 2], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 43/967680], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 1], [18, 1]], 1/34560], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/414720], [[[1, 3], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 1/46080], [[[1, 3], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 53/307200], [[[1, 3], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/7680], [[[1, 3], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 1/5376], [[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/8064], [[[1, 3], [2, 3], [4, 3], [6, 1], [8, 1], [9, 1]], 1/55296], [[[1, 3], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048], [[[1, 3], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 23/110592], [[[1, 3], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 3], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 17/414720], [[[1, 3], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 1/14336], [[[1, 3], [2, 3], [4, 3], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 3], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 107/663552], [[[1, 3], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 7/276480], [[[1, 3], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/184320], [[[1, 3], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/40960], [[[1, 3], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 5/294912], [[[1, 3], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 1/368640], [[[1, 3], [2, 3], [5, 1], [6, 1], [7, 1], [9, 1]], 1/30240], [[[1, 3], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 3], [5, 1], [6, 1], [10, 2], [12, 1]], 17/96000], [[[1, 3], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 3], [2, 3], [5, 1], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 3], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/8640], [[[1, 3], [2, 3], [5, 1], [6, 2], [9, 1], [10, 1]], 1/25920], [[[1, 3], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 1/8400], [[[1, 3], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800], [[[1, 3], [2, 3], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160], [[[1, 3], [2, 3], [5, 1], [6, 2], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 3], [5, 1], [6, 3], [8, 1], [10, 1]], 1/552960], [[[1, 3], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 3/5600], [[[1, 3], [2, 3], [5, 1], [8, 1], [9, 1], [10, 1]], 1/7680], [[[1, 3], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 3/5600], [[[1, 3], [2, 3], [5, 1], [8, 1], [10, 1], [18, 1]], 1/7680], [[[1, 3], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 3], [2, 3], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600], [[[1, 3], [2, 3], [6, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 3], [2, 3], [6, 1], [8, 1], [10, 2], [12, 1]], 7/460800], [[[1, 3], [2, 3], [6, 1], [8, 1], [14, 1], [18, 1]], 1/20736], [[[1, 3], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 1/20160], [[[1, 3], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 19/1451520], [[[1, 3], [2, 3], [6, 2], [8, 1], [10, 1], [18, 1]], 1/7776], [[[1, 3], [2, 3], [6, 2], [8, 1], [12, 1], [14, 1]], 1/27648], [[[1, 3], [2, 3], [6, 2], [8, 1], [12, 1], [18, 1]], 19/248832], [[[1, 3], [2, 3], [6, 2], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 3], [2, 3], [6, 2], [10, 1], [12, 1], [18, 1]], 1/17280], [[[1, 3], [2, 3], [6, 3], [8, 1], [10, 1], [12, 1]], 1/414720], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 209/7464960], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/61440], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 49/144000], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 967/36864000], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 1/230400], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [12, 1]], 7/6144000], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 47/608256], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 205/331776], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 301/663552], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 53/172800], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 223/13271040], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/110592], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [9, 1]], 1/62208], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 2249/7464960], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 16441/26873856], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 289/2239488], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 4553/44789760], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 170543/716636160], [[[1, 3], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 31/5806080], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 61/460800], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 1/36864], [[[1, 3], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400], [[[1, 3], [2, 5], [3, 1], [4, 1], [14, 1], [18, 1]], 23/725760], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 257/4976640], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 1/414720], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/73728], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 487/1327104], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 511/2764800], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/25920], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 19/516096], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 5/82944], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 191/580608], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 13/27648], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 181/663552], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 919/7464960], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 5309/11943936], [[[1, 3], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/161280], [[[1, 3], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 11/774144], [[[1, 3], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/36864], [[[1, 3], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 11/36864], [[[1, 3], [2, 5], [3, 1], [4, 2], [8, 1], [18, 1]], 1/36864], [[[1, 3], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/69120], [[[1, 3], [2, 5], [3, 1], [4, 2], [9, 1], [12, 1]], 1/41472], [[[1, 3], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 113/322560], [[[1, 3], [2, 5], [3, 1], [4, 2], [10, 1], [18, 1]], 1/41472], [[[1, 3], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/24192], [[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 13/442368], [[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/18432], [[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 11/1105920], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/43008], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 17/331776], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 23/92160], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 209/2985984], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 727/2359296], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 689/3981312], [[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2304], [[[1, 3], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/7680], [[[1, 3], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 527/3538944], [[[1, 3], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 47/1105920], [[[1, 3], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 7/737280], [[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 109/884736], [[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 161/4423680], [[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 983/6635520], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 13/14400], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 97/7741440], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/155520], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 1/15552], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 521/2332800], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 3], [12, 1]], 1/51840], [[[1, 3], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 1/92160], [[[1, 3], [2, 5], [3, 1], [5, 1], [7, 1], [12, 1]], 1/1290240], [[[1, 3], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 7/414720], [[[1, 3], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 13/414720], [[[1, 3], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 5], [3, 1], [5, 1], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 11/691200], [[[1, 3], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 13/72000], [[[1, 3], [2, 5], [3, 1], [5, 2], [6, 1], [12, 1]], 1/691200], [[[1, 3], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 1/217728], [[[1, 3], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 47/138240], [[[1, 3], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 7/92160], [[[1, 3], [2, 5], [3, 1], [6, 1], [10, 2], [12, 1]], 7/691200], [[[1, 3], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 71/217728], [[[1, 3], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 17/1548288], [[[1, 3], [2, 5], [3, 1], [6, 2], [8, 1], [9, 1]], 1/124416], [[[1, 3], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 37/72576], [[[1, 3], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 125/248832], [[[1, 3], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1063/1451520], [[[1, 3], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 239/311040], [[[1, 3], [2, 5], [3, 1], [6, 2], [12, 1], [14, 1]], 47/290304], [[[1, 3], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 1/41472], [[[1, 3], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 943/7464960], [[[1, 3], [2, 5], [3, 1], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 5], [3, 1], [6, 3], [10, 1], [12, 1]], 61/414720], [[[1, 3], [2, 5], [3, 1], [7, 1], [8, 1], [12, 1]], 1/258048], [[[1, 3], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 5/64512], [[[1, 3], [2, 5], [3, 1], [8, 1], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 29/311040], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 61/58060800], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 67/6220800], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/138240], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 11/221184], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 461/2211840], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 23/884736], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 4031/46448640], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 7441/59719680], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 8693/13934592], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 319/746496], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 13097/35831808], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 28049/89579520], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 21889/47775744], [[[1, 3], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/387072], [[[1, 3], [2, 5], [3, 2], [4, 1], [7, 1], [12, 1]], 31/7741440], [[[1, 3], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 11/497664], [[[1, 3], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 1/48384], [[[1, 3], [2, 5], [3, 2], [4, 1], [8, 1], [18, 1]], 1/248832], [[[1, 3], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 13/1244160], [[[1, 3], [2, 5], [3, 2], [4, 1], [9, 1], [12, 1]], 223/29859840], [[[1, 3], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 19/483840], [[[1, 3], [2, 5], [3, 2], [4, 1], [10, 1], [18, 1]], 1/155520], [[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 31/414720], [[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/92160], [[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 11/221184], [[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 1/552960], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 13/774144], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 17/331776], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1475/4644864], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 7/124416], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 589/1327104], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 491/1658880], [[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 2827/3981312], [[[1, 3], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 13/276480], [[[1, 3], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 17/442368], [[[1, 3], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 59/6635520], [[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 2561/21233664], [[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 113/3317760], [[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 235/1327104], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 43/2903040], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 17/622080], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/241920], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 49/663552], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 19813/49766400], [[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [12, 1]], 1/207360], [[[1, 3], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 11/414720], [[[1, 3], [2, 5], [3, 2], [5, 1], [8, 1], [12, 1]], 1/552960], [[[1, 3], [2, 5], [3, 2], [5, 1], [10, 1], [12, 1]], 13/552960], [[[1, 3], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 5/290304], [[[1, 3], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/60480], [[[1, 3], [2, 5], [3, 2], [6, 1], [7, 1], [12, 1]], 1/290304], [[[1, 3], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 85/1492992], [[[1, 3], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 701/11612160], [[[1, 3], [2, 5], [3, 2], [6, 1], [8, 1], [18, 1]], 13/373248], [[[1, 3], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 3], [2, 5], [3, 2], [6, 1], [9, 1], [12, 1]], 1/124416], [[[1, 3], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1801/11612160], [[[1, 3], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 11/155520], [[[1, 3], [2, 5], [3, 2], [6, 1], [12, 1], [14, 1]], 1/145152], [[[1, 3], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 139/331776], [[[1, 3], [2, 5], [3, 2], [6, 2], [8, 1], [12, 1]], 1/82944], [[[1, 3], [2, 5], [3, 2], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1891/99532800], [[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 1/622080], [[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 7/6635520], [[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [12, 1]], 11/16588800], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 11/2985984], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 61/1492992], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 103/5806080], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 1], [18, 1]], 1/93312], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 511/5971968], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1153/4976640], [[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 19123/79626240], [[[1, 3], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 5], [3, 3], [4, 1], [8, 1], [12, 1]], 1/331776], [[[1, 3], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 13/4976640], [[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 5/221184], [[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 23/552960], [[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 137/1990656], [[[1, 3], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 7/1244160], [[[1, 3], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/46656], [[[1, 3], [2, 5], [3, 3], [5, 1], [6, 1], [12, 1]], 1/829440], [[[1, 3], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/829440], [[[1, 3], [2, 5], [3, 3], [6, 1], [8, 1], [12, 1]], 1/165888], [[[1, 3], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 13/22394880], [[[1, 3], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 55/35831808], [[[1, 3], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 13/7464960], [[[1, 3], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 221/15925248], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 11/19200], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/96768], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/16128], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 5/41472], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 97/4976640], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 8339/66355200], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 3], [12, 1]], 1/46080], [[[1, 3], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/43008], [[[1, 3], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 73/1612800], [[[1, 3], [2, 5], [4, 1], [5, 1], [7, 1], [12, 1]], 1/967680], [[[1, 3], [2, 5], [4, 1], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 3], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/26880], [[[1, 3], [2, 5], [4, 1], [5, 1], [8, 1], [18, 1]], 1/69120], [[[1, 3], [2, 5], [4, 1], [5, 1], [9, 1], [10, 1]], 7/92160], [[[1, 3], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 47/89600], [[[1, 3], [2, 5], [4, 1], [5, 1], [10, 1], [18, 1]], 49/307200], [[[1, 3], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/92160], [[[1, 3], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 17/86400], [[[1, 3], [2, 5], [4, 1], [6, 1], [7, 1], [9, 1]], 5/290304], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 47/153600], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 1/36864], [[[1, 3], [2, 5], [4, 1], [6, 1], [10, 1], [12, 2]], 1/69120], [[[1, 3], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 1219/5529600], [[[1, 3], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 101/193536], [[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [9, 1]], 1/82944], [[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 25/64512], [[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 113/248832], [[[1, 3], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1849/5806080], [[[1, 3], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 71/155520], [[[1, 3], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 661/2322432], [[[1, 3], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 229/995328], [[[1, 3], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 227/4976640], [[[1, 3], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 67/995328], [[[1, 3], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 1801/14929920], [[[1, 3], [2, 5], [4, 1], [8, 1], [9, 1], [10, 1]], 1/23040], [[[1, 3], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 19/21504], [[[1, 3], [2, 5], [4, 1], [8, 1], [10, 1], [18, 1]], 11/69120], [[[1, 3], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 1/16128], [[[1, 3], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/7680], [[[1, 3], [2, 5], [4, 1], [10, 1], [12, 1], [18, 1]], 1/51840], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 11/322560], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 1], [9, 1]], 1/69120], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/11520], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 11/103680], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 23/276480], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 161/921600], [[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 1/69120], [[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 431/921600], [[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 3], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4608], [[[1, 3], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 5/129024], [[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [9, 1]], 1/12288], [[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 473/774144], [[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 377/995328], [[[1, 3], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 143/322560], [[[1, 3], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 29/82944], [[[1, 3], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 29/110592], [[[1, 3], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 19/124416], [[[1, 3], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 497/1658880], [[[1, 3], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 379/1327104], [[[1, 3], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 89/331776], [[[1, 3], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/5120], [[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 37/276480], [[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 689/4147200], [[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/368640], [[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 49/122880], [[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1987/10616832], [[[1, 3], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 17/184320], [[[1, 3], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 17/1935360], [[[1, 3], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280], [[[1, 3], [2, 5], [5, 1], [6, 1], [9, 1], [10, 1]], 7/103680], [[[1, 3], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 13/33600], [[[1, 3], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 7/23040], [[[1, 3], [2, 5], [5, 1], [6, 1], [12, 1], [14, 1]], 1/40320], [[[1, 3], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 119/691200], [[[1, 3], [2, 5], [5, 1], [6, 2], [10, 1], [12, 1]], 41/460800], [[[1, 3], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 139/414720], [[[1, 3], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 251/622080], [[[1, 3], [2, 5], [6, 1], [8, 1], [12, 1], [14, 1]], 53/1935360], [[[1, 3], [2, 5], [6, 1], [10, 1], [12, 1], [14, 1]], 17/215040], [[[1, 3], [2, 5], [6, 2], [8, 1], [10, 1], [12, 1]], 23/829440], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 901/55987200], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 1/2764800], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 11/24883200], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 1/302400], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1536000], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 431/6635520], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1679/2764800], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 67/15482880], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/165888], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 19363/34836480], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 9331/26873856], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 95401/358318080], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1728833/3135283200], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 125981/1074954240], [[[1, 3], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 13/15482880], [[[1, 3], [2, 7], [3, 1], [4, 1], [7, 1], [12, 1]], 1/7741440], [[[1, 3], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 11/3981312], [[[1, 3], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 17/387072], [[[1, 3], [2, 7], [3, 1], [4, 1], [8, 1], [18, 1]], 7/4976640], [[[1, 3], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 2453/17418240], [[[1, 3], [2, 7], [3, 1], [4, 1], [10, 1], [18, 1]], 109/21772800], [[[1, 3], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 1/725760], [[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 1433/44236800], [[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 49/22118400], [[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 1321/55296000], [[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 1/7372800], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 1/344064], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 43/6635520], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1991/6635520], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 121/1327104], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 5635/21233664], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 41287/99532800], [[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 7831/79626240], [[[1, 3], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 107/1105920], [[[1, 3], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 7/1966080], [[[1, 3], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/345600], [[[1, 3], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 47/11059200], [[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1571/13271040], [[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 82811/696729600], [[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 127/2654208], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 11/38707200], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 1/24883200], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/403200], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/1555200], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 64669/398131200], [[[1, 3], [2, 7], [3, 1], [5, 1], [6, 2], [12, 1]], 1/2073600], [[[1, 3], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 221/24883200], [[[1, 3], [2, 7], [3, 1], [5, 1], [10, 1], [12, 1]], 31/22118400], [[[1, 3], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/774144], [[[1, 3], [2, 7], [3, 1], [6, 1], [8, 1], [9, 1]], 1/995328], [[[1, 3], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 1481/11612160], [[[1, 3], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 5/331776], [[[1, 3], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 50611/116121600], [[[1, 3], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 109/921600], [[[1, 3], [2, 7], [3, 1], [6, 1], [12, 1], [14, 1]], 1/362880], [[[1, 3], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 7057/24883200], [[[1, 3], [2, 7], [3, 1], [6, 2], [8, 1], [12, 1]], 7/2211840], [[[1, 3], [2, 7], [3, 1], [6, 2], [10, 1], [12, 1]], 1343/33177600], [[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 2269/149299200], [[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/518400], [[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [12, 1]], 1/16588800], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 17/11612160], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 67/14929920], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 12367/139345920], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 91/7464960], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1031/11943936], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 61861/149299200], [[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 2207/69672960], [[[1, 3], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 7/1382400], [[[1, 3], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 41/33177600], [[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 889/21233664], [[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 4259/44236800], [[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 3703/238878720], [[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1658880], [[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 28811/1990656000], [[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [12, 1]], 1/33177600], [[[1, 3], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1663/116121600], [[[1, 3], [2, 7], [3, 2], [6, 1], [8, 1], [12, 1]], 1/1327104], [[[1, 3], [2, 7], [3, 2], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 3], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 17/49766400], [[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 413/119439360], [[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 389/174182400], [[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1141/358318080], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1382400], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 61/1612800], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 43/2073600], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/103680], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 607/3456000], [[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [12, 1]], 1/460800], [[[1, 3], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 709/9216000], [[[1, 3], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 41/12441600], [[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [9, 1]], 1/331776], [[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 41/114688], [[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 2797/19906560], [[[1, 3], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 8623/11612160], [[[1, 3], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 10553/24883200], [[[1, 3], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 1391/23224320], [[[1, 3], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 1/138240], [[[1, 3], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 323/829440], [[[1, 3], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 109/3317760], [[[1, 3], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 271/1990656], [[[1, 3], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 1/230400], [[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 131/5529600], [[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 2759/18432000], [[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2764800], [[[1, 3], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1217/2654208], [[[1, 3], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 379/10616832], [[[1, 3], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1447/13271040], [[[1, 3], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 209/2764800], [[[1, 3], [2, 7], [5, 1], [6, 1], [10, 1], [12, 1]], 179/36864000], [[[1, 3], [2, 7], [6, 1], [8, 1], [10, 1], [12, 1]], 221/58060800], [[[1, 3], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 1/979776], [[[1, 3], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 61/64512000], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1/23224320], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1/19906560], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 10417/182891520], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 9647/1254113280], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 3265789/80263249920], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 54359/223948800], [[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 10183/2149908480], [[[1, 3], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 467/87091200], [[[1, 3], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 1/70778880], [[[1, 3], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1/21772800], [[[1, 3], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 299/557383680], [[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 11741/557383680], [[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 684247/8360755200], [[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 2347/1672151040], [[[1, 3], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 2077/522547200], [[[1, 3], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 7667/418037760], [[[1, 3], [2, 9], [3, 1], [6, 1], [8, 1], [12, 1]], 1/185794560], [[[1, 3], [2, 9], [3, 1], [6, 1], [10, 1], [12, 1]], 1/6451200], [[[1, 3], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 13/557383680], [[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 635/573308928], [[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 32279/2508226560], [[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1189/10032906240], [[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 253/348364800], [[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 683/23224320], [[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [12, 1]], 1/51609600], [[[1, 3], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 2519/22118400], [[[1, 3], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 11/13762560], [[[1, 3], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 19361/2090188800], [[[1, 3], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 109/12773376000], [[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 68879/100329062400], [[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 116947/12541132800], [[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1319/66886041600], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [11, 1]], 1/3520], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 3]], 1/460800], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4800], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 7/86400], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 5/14112], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 5/93312], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/31104], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [11, 1]], 7/18432], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [22, 1]], 1/76032], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [8, 2]], 1/497664], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [10, 2]], 1/12441600], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [12, 2]], 1/27648], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 4], [14, 1]], 1/5225472], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 4], [18, 1]], 13/2239488], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 5], [12, 1]], 1/1492992], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 3/7168], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [12, 2]], 1/24192], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 7/16896], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [22, 1]], 5/50688], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/6912], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 2], [18, 1]], 1/27648], [[[1, 4], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 1/15840], [[[1, 4], [2, 2], [3, 1], [4, 1], [10, 1], [22, 1]], 1/21120], [[[1, 4], [2, 2], [3, 1], [4, 1], [10, 2], [14, 1]], 1/67200], [[[1, 4], [2, 2], [3, 1], [4, 1], [10, 2], [18, 1]], 1/172800], [[[1, 4], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 7/27648], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 4]], 1/1244160], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/10240], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/34560], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 11/3686400], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/30720], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 19/96000], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 161/1843200], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 179/608256], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [22, 1]], 1/22528], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 11/442368], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 67/221184], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 3], [7, 1]], 1/387072], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 3], [14, 1]], 1/3483648], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 3], [18, 1]], 1/55296], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1]], 1/995328], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 4], [10, 1]], 1/7464960], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 4], [12, 1]], 35/11943936], [[[1, 4], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 53/193536], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 1/55296], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/15360], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 1/24576], [[[1, 4], [2, 2], [3, 1], [4, 2], [14, 1], [18, 1]], 1/48384], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 17/483840], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 7/207360], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/102400], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 17/221184], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/2764800], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 1/4608], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 5/2322432], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/1161216], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/497664], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 3], [8, 1]], 7/11943936], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/24576], [[[1, 4], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/36864], [[[1, 4], [2, 2], [3, 1], [4, 3], [7, 1], [10, 1]], 1/161280], [[[1, 4], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 1/43008], [[[1, 4], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 19/331776], [[[1, 4], [2, 2], [3, 1], [4, 3], [8, 1], [18, 1]], 7/165888], [[[1, 4], [2, 2], [3, 1], [4, 3], [9, 1], [10, 1]], 1/69120], [[[1, 4], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 1/41472], [[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2]], 1/6635520], [[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 1/11520], [[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 23/1843200], [[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/122880], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/55296], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 1/497664], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/774144], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 1], [18, 1]], 1/331776], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 17/2654208], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1658880], [[[1, 4], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/49152], [[[1, 4], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 19/147456], [[[1, 4], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 1/2211840], [[[1, 4], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/294912], [[[1, 4], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/98304], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 23/31680], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1]], 1/1451520], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 3], [18, 1]], 1/38880], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 4], [10, 1]], 1/933120], [[[1, 4], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 71/120960], [[[1, 4], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 4], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 1/7680], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 11/20160], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 1/6480], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 83/921600], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 17/576000], [[[1, 4], [2, 2], [3, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 4], [2, 2], [3, 1], [5, 2], [8, 1], [12, 1]], 1/51200], [[[1, 4], [2, 2], [3, 1], [5, 2], [10, 1], [12, 1]], 17/96000], [[[1, 4], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 4], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 89/152064], [[[1, 4], [2, 2], [3, 1], [6, 1], [8, 1], [22, 1]], 1/16896], [[[1, 4], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1]], 1/20736], [[[1, 4], [2, 2], [3, 1], [6, 1], [10, 1], [22, 1]], 1/31680], [[[1, 4], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/100800], [[[1, 4], [2, 2], [3, 1], [6, 1], [11, 1], [12, 1]], 1/76032], [[[1, 4], [2, 2], [3, 1], [6, 1], [12, 1], [22, 1]], 1/76032], [[[1, 4], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 4], [2, 2], [3, 1], [6, 3], [7, 1], [8, 1]], 1/290304], [[[1, 4], [2, 2], [3, 1], [6, 3], [8, 1], [18, 1]], 5/186624], [[[1, 4], [2, 2], [3, 1], [6, 3], [10, 1], [14, 1]], 1/13063680], [[[1, 4], [2, 2], [3, 1], [6, 3], [10, 1], [18, 1]], 1/77760], [[[1, 4], [2, 2], [3, 1], [6, 3], [12, 1], [18, 1]], 1/186624], [[[1, 4], [2, 2], [3, 1], [6, 4], [8, 1], [10, 1]], 1/7464960], [[[1, 4], [2, 2], [3, 1], [6, 4], [8, 1], [12, 1]], 1/497664], [[[1, 4], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/1792], [[[1, 4], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 4], [2, 2], [3, 1], [10, 1], [14, 1], [18, 1]], 1/181440], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 23/1244160], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/86400], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [12, 2]], 1/17280], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 7/691200], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/230400], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/27000], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 127/1036800], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 59/228096], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [22, 1]], 41/608256], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 5/165888], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 1/13824], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 3], [7, 1]], 1/21504], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 5/746496], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 3], [18, 1]], 49/1492992], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 4], [8, 1]], 1/1492992], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 4], [10, 1]], 1/3732480], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 1/15552], [[[1, 4], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 11/36288], [[[1, 4], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 1/36864], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 3]], 1/331776], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 17/645120], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 41/207360], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/43200], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 17/147456], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 529/3981312], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 23/516096], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 163/5971968], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 43/995328], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1]], 47/5971968], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 989/7962624], [[[1, 4], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 5/96768], [[[1, 4], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/120960], [[[1, 4], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 509/2322432], [[[1, 4], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 23/82944], [[[1, 4], [2, 2], [3, 2], [4, 2], [8, 1], [18, 1]], 1/41472], [[[1, 4], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 125/995328], [[[1, 4], [2, 2], [3, 2], [4, 2], [10, 1], [14, 1]], 1/80640], [[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 29/1658880], [[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 19/552960], [[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/1658880], [[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 1/55296], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 11/387072], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 83/1492992], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 5/442368], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/331776], [[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 19/110592], [[[1, 4], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 1/24576], [[[1, 4], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 31/3317760], [[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 23/884736], [[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 343/1990656], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/34560], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/115200], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 3679/8709120], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 43/186624], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 3], [8, 1]], 7/829440], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 3], [10, 1]], 11/373248], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 3], [12, 1]], 1/34560], [[[1, 4], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/96768], [[[1, 4], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/7200], [[[1, 4], [2, 2], [3, 2], [5, 1], [7, 1], [12, 1]], 23/161280], [[[1, 4], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 23/103680], [[[1, 4], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 7/43200], [[[1, 4], [2, 2], [3, 2], [5, 1], [9, 1], [12, 1]], 7/51840], [[[1, 4], [2, 2], [3, 2], [5, 1], [10, 1], [18, 1]], 1/25920], [[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/32400], [[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [12, 1]], 1/8640], [[[1, 4], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 11/13608], [[[1, 4], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2]], 17/2764800], [[[1, 4], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 19/387072], [[[1, 4], [2, 2], [3, 2], [6, 2], [7, 1], [10, 1]], 1/120960], [[[1, 4], [2, 2], [3, 2], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 4], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 95/1492992], [[[1, 4], [2, 2], [3, 2], [6, 2], [8, 1], [14, 1]], 17/1161216], [[[1, 4], [2, 2], [3, 2], [6, 2], [8, 1], [18, 1]], 29/497664], [[[1, 4], [2, 2], [3, 2], [6, 2], [9, 1], [10, 1]], 1/155520], [[[1, 4], [2, 2], [3, 2], [6, 2], [9, 1], [12, 1]], 1/93312], [[[1, 4], [2, 2], [3, 2], [6, 2], [10, 1], [14, 1]], 13/1161216], [[[1, 4], [2, 2], [3, 2], [6, 2], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 2], [3, 2], [6, 3], [8, 1], [12, 1]], 1/55296], [[[1, 4], [2, 2], [3, 2], [6, 3], [10, 1], [12, 1]], 1/69120], [[[1, 4], [2, 2], [3, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 4], [2, 2], [3, 2], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 4], [2, 2], [3, 2], [8, 1], [9, 1], [12, 1]], 5/82944], [[[1, 4], [2, 2], [3, 2], [9, 1], [10, 1], [12, 1]], 1/25920], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 17/311040], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 73/1161216], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/8640], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/4147200], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 23/746496], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/1382400], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [12, 2]], 17/248832], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 1/13824], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 275/1492992], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/580608], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 5/248832], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 19/497664], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [10, 1]], 1/311040], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 107/373248], [[[1, 4], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 113/1161216], [[[1, 4], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 7/311040], [[[1, 4], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 23/163296], [[[1, 4], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 1/5184], [[[1, 4], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 7/116640], [[[1, 4], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 683/2239488], [[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 227/3317760], [[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 7/829440], [[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1411/99532800], [[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1049/14929920], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 7/497664], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 83/497664], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/387072], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 91/1990656], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/276480], [[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 311/995328], [[[1, 4], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 49/4976640], [[[1, 4], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 227/1492992], [[[1, 4], [2, 2], [3, 3], [4, 2], [10, 1], [12, 1]], 1/69120], [[[1, 4], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 5/497664], [[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 31/1327104], [[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [10, 1]], 1/414720], [[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 205/1990656], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 367/1866240], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 79/233280], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 59/1244160], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 19/1036800], [[[1, 4], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 17/124416], [[[1, 4], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 1/1658880], [[[1, 4], [2, 2], [3, 3], [5, 1], [8, 1], [12, 1]], 1/69120], [[[1, 4], [2, 2], [3, 3], [5, 1], [10, 1], [12, 1]], 1/19200], [[[1, 4], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 265/2612736], [[[1, 4], [2, 2], [3, 3], [6, 1], [7, 1], [12, 1]], 5/18144], [[[1, 4], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 77/279936], [[[1, 4], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 41/186624], [[[1, 4], [2, 2], [3, 3], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 4], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 41/829440], [[[1, 4], [2, 2], [3, 3], [6, 2], [8, 1], [12, 1]], 1/62208], [[[1, 4], [2, 2], [3, 4], [4, 1], [5, 1], [6, 2]], 1/3732480], [[[1, 4], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/497664], [[[1, 4], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 1/82944], [[[1, 4], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 1/62208], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 1/193536], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 311/2239488], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 101/2239488], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [10, 1]], 13/3732480], [[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 41/279936], [[[1, 4], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 1/622080], [[[1, 4], [2, 2], [3, 4], [4, 1], [8, 1], [12, 1]], 1/373248], [[[1, 4], [2, 2], [3, 4], [4, 1], [10, 1], [12, 1]], 1/155520], [[[1, 4], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 173/14929920], [[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 59/5971968], [[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1]], 1/933120], [[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 6419/71663616], [[[1, 4], [2, 2], [3, 4], [5, 1], [6, 1], [8, 1]], 7/829440], [[[1, 4], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/124416], [[[1, 4], [2, 2], [3, 4], [5, 1], [6, 1], [12, 1]], 1/31104], [[[1, 4], [2, 2], [3, 4], [6, 1], [8, 1], [12, 1]], 17/1492992], [[[1, 4], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 1/349920], [[[1, 4], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 35/4478976], [[[1, 4], [2, 2], [3, 5], [4, 1], [6, 1], [10, 1]], 1/279936], [[[1, 4], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 635/13436928], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1]], 7/21120], [[[1, 4], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1]], 29/80640], [[[1, 4], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 4], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 11/67200], [[[1, 4], [2, 2], [4, 1], [5, 2], [6, 1], [9, 1]], 1/57600], [[[1, 4], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600], [[[1, 4], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 4], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 11/32000], [[[1, 4], [2, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200], [[[1, 4], [2, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 2], [4, 1], [6, 1], [8, 1], [11, 1]], 1/4608], [[[1, 4], [2, 2], [4, 1], [6, 1], [8, 2], [9, 1]], 1/82944], [[[1, 4], [2, 2], [4, 1], [6, 1], [8, 2], [18, 1]], 1/82944], [[[1, 4], [2, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/101376], [[[1, 4], [2, 2], [4, 1], [6, 2], [8, 2], [12, 1]], 1/110592], [[[1, 4], [2, 2], [4, 1], [6, 3], [8, 1], [14, 1]], 1/6967296], [[[1, 4], [2, 2], [4, 1], [6, 3], [10, 1], [14, 1]], 1/17418240], [[[1, 4], [2, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/248832], [[[1, 4], [2, 2], [4, 1], [6, 4], [8, 1], [10, 1]], 1/14929920], [[[1, 4], [2, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 5/16128], [[[1, 4], [2, 2], [4, 1], [7, 1], [9, 1], [10, 1]], 1/30240], [[[1, 4], [2, 2], [4, 1], [7, 1], [9, 1], [12, 1]], 1/18144], [[[1, 4], [2, 2], [4, 1], [8, 1], [14, 1], [18, 1]], 1/96768], [[[1, 4], [2, 2], [4, 1], [10, 1], [14, 1], [18, 1]], 1/241920], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/69120], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 3], [8, 1]], 1/552960], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 3], [10, 1]], 1/737280], [[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/3072], [[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/6400], [[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/5376], [[[1, 4], [2, 2], [4, 2], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 4], [2, 2], [4, 2], [5, 1], [8, 1], [18, 1]], 1/7680], [[[1, 4], [2, 2], [4, 2], [5, 1], [9, 1], [10, 1]], 67/1382400], [[[1, 4], [2, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 1/25920], [[[1, 4], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 4], [2, 2], [4, 2], [5, 1], [10, 1], [18, 1]], 1/10240], [[[1, 4], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 7/460800], [[[1, 4], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1]], 1/48000], [[[1, 4], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 4], [2, 2], [4, 2], [6, 1], [7, 1], [9, 1]], 1/48384], [[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/18432], [[[1, 4], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 1/24576], [[[1, 4], [2, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 1/62208], [[[1, 4], [2, 2], [4, 2], [6, 3], [8, 1], [10, 1]], 1/1658880], [[[1, 4], [2, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/995328], [[[1, 4], [2, 2], [4, 2], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 4], [2, 2], [4, 2], [8, 1], [9, 1], [12, 1]], 1/41472], [[[1, 4], [2, 2], [4, 2], [8, 1], [10, 1], [18, 1]], 1/23040], [[[1, 4], [2, 2], [4, 2], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 4], [2, 2], [4, 2], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 4], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 4], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 4], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/552960], [[[1, 4], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 29/307200], [[[1, 4], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 1/46080], [[[1, 4], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1]], 1/18432], [[[1, 4], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 4], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 1/184320], [[[1, 4], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 7/147456], [[[1, 4], [2, 2], [5, 1], [6, 1], [7, 1], [9, 1]], 1/181440], [[[1, 4], [2, 2], [5, 1], [6, 1], [10, 2], [12, 1]], 1/19200], [[[1, 4], [2, 2], [5, 1], [6, 3], [8, 1], [10, 1]], 7/4976640], [[[1, 4], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 4], [2, 2], [5, 1], [8, 1], [9, 1], [10, 1]], 1/23040], [[[1, 4], [2, 2], [5, 1], [8, 1], [10, 1], [18, 1]], 7/69120], [[[1, 4], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600], [[[1, 4], [2, 2], [6, 1], [7, 1], [8, 1], [9, 1]], 1/36288], [[[1, 4], [2, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/460800], [[[1, 4], [2, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/145152], [[[1, 4], [2, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/725760], [[[1, 4], [2, 2], [6, 2], [8, 1], [10, 1], [14, 1]], 1/483840], [[[1, 4], [2, 2], [6, 2], [8, 1], [10, 1], [18, 1]], 1/103680], [[[1, 4], [2, 2], [6, 2], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 4], [2, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/82944], [[[1, 4], [2, 2], [6, 2], [10, 1], [12, 1], [14, 1]], 1/967680], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 403/7464960], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5760], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 41/96000], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [12, 2]], 1/69120], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1477/11059200], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 1/9216], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 53/144000], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 11/122880], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 215/608256], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 215/608256], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1039/2654208], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 37/518400], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 11/221184], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 25/580608], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1]], 1/20736], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 569/5225472], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 535/2239488], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 487/17915904], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 67/5971968], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 3359/35831808], [[[1, 4], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 19/193536], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 47/460800], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 3/10240], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 23/442368], [[[1, 4], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400], [[[1, 4], [2, 4], [3, 1], [4, 1], [14, 1], [18, 1]], 5/72576], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 53/552960], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 41/483840], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 251/1658880], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 11/80640], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 113/921600], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 103/110592], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 113/921600], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1529/6193152], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 25/248832], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 67/580608], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 511/1492992], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 103/497664], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 223/3732480], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 277/663552], [[[1, 4], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 5/27648], [[[1, 4], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 13/161280], [[[1, 4], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 683/3096576], [[[1, 4], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 1/3456], [[[1, 4], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 19/64512], [[[1, 4], [2, 4], [3, 1], [4, 2], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 31/207360], [[[1, 4], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 25/124416], [[[1, 4], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 313/1935360], [[[1, 4], [2, 4], [3, 1], [4, 2], [10, 1], [18, 1]], 7/207360], [[[1, 4], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 5/48384], [[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 727/6635520], [[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 631/2211840], [[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 157/691200], [[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 143/1105920], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 43/387072], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 161/995328], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 43/387072], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 161/995328], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 413/995328], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 317/3317760], [[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 833/1327104], [[[1, 4], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 11/46080], [[[1, 4], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 23/55296], [[[1, 4], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 19/184320], [[[1, 4], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/15360], [[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 3/8192], [[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/15360], [[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 55/221184], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 37/48000], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 3061/46448640], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 13/155520], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/4320], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 13/165888], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 3463/18662400], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 4], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 61/483840], [[[1, 4], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/4200], [[[1, 4], [2, 4], [3, 1], [5, 1], [7, 1], [12, 1]], 181/7741440], [[[1, 4], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 11/51840], [[[1, 4], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 3/12800], [[[1, 4], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/8400], [[[1, 4], [2, 4], [3, 1], [5, 1], [10, 1], [18, 1]], 7/103680], [[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 41/230400], [[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 37/48000], [[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [12, 1]], 7/691200], [[[1, 4], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 19/217728], [[[1, 4], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 41/230400], [[[1, 4], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 4], [2, 4], [3, 1], [6, 1], [10, 2], [12, 1]], 7/691200], [[[1, 4], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 19/217728], [[[1, 4], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 89/1161216], [[[1, 4], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/161280], [[[1, 4], [2, 4], [3, 1], [6, 2], [7, 1], [12, 1]], 1/96768], [[[1, 4], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1]], 13/124416], [[[1, 4], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/8064], [[[1, 4], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 137/373248], [[[1, 4], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 89/622080], [[[1, 4], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 29/93312], [[[1, 4], [2, 4], [3, 1], [6, 2], [12, 1], [14, 1]], 19/290304], [[[1, 4], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 19/373248], [[[1, 4], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 439/7464960], [[[1, 4], [2, 4], [3, 1], [6, 3], [8, 1], [12, 1]], 5/124416], [[[1, 4], [2, 4], [3, 1], [6, 3], [10, 1], [12, 1]], 17/311040], [[[1, 4], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 4], [2, 4], [3, 1], [7, 1], [8, 1], [12, 1]], 5/193536], [[[1, 4], [2, 4], [3, 1], [7, 1], [10, 1], [12, 1]], 1/26880], [[[1, 4], [2, 4], [3, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 4], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/10752], [[[1, 4], [2, 4], [3, 1], [8, 1], [10, 1], [18, 1]], 1/103680], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 289/1105920], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 131/5806080], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 137/1244160], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 37/518400], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1039/2654208], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1477/11059200], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 11/221184], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1825/4644864], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 805/1990656], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1825/4644864], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 805/1990656], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 5095/11943936], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 2557/14929920], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 2731/3981312], [[[1, 4], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 55/1161216], [[[1, 4], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/16128], [[[1, 4], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 3/28672], [[[1, 4], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 275/1990656], [[[1, 4], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/12096], [[[1, 4], [2, 4], [3, 2], [4, 1], [8, 1], [18, 1]], 1/41472], [[[1, 4], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 23/155520], [[[1, 4], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 529/2985984], [[[1, 4], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 17/241920], [[[1, 4], [2, 4], [3, 2], [4, 1], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1127/4423680], [[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 7/276480], [[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 53/307200], [[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 175/1327104], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 67/580608], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 511/1492992], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1529/6193152], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 25/248832], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 77/124416], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1127/4423680], [[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 3155/1990656], [[[1, 4], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/6144], [[[1, 4], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 89/331776], [[[1, 4], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 317/3317760], [[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 413/995328], [[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 727/6635520], [[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 833/1327104], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 89/622080], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 29/93312], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 247/829440], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 10409/12441600], [[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [12, 1]], 7/207360], [[[1, 4], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 47/414720], [[[1, 4], [2, 4], [3, 2], [5, 1], [8, 1], [12, 1]], 1/69120], [[[1, 4], [2, 4], [3, 2], [5, 1], [10, 1], [12, 1]], 11/153600], [[[1, 4], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/8064], [[[1, 4], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 4], [2, 4], [3, 2], [6, 1], [7, 1], [12, 1]], 19/290304], [[[1, 4], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 137/373248], [[[1, 4], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 89/1161216], [[[1, 4], [2, 4], [3, 2], [6, 1], [8, 1], [18, 1]], 13/124416], [[[1, 4], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 1/4320], [[[1, 4], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 19/373248], [[[1, 4], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 3061/46448640], [[[1, 4], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 13/155520], [[[1, 4], [2, 4], [3, 2], [6, 1], [12, 1], [14, 1]], 1/96768], [[[1, 4], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 247/829440], [[[1, 4], [2, 4], [3, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 4], [3, 2], [6, 2], [10, 1], [12, 1]], 7/207360], [[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 2557/14929920], [[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 143/5971968], [[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 619/6635520], [[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 191/7464960], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 569/5225472], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 535/2239488], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 25/580608], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [18, 1]], 1/20736], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 5095/11943936], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 289/1105920], [[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 2731/3981312], [[[1, 4], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 5/165888], [[[1, 4], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 19/663552], [[[1, 4], [2, 4], [3, 3], [4, 1], [10, 1], [12, 1]], 7/414720], [[[1, 4], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 223/3732480], [[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 103/497664], [[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 53/552960], [[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 277/663552], [[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 439/7464960], [[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 3463/18662400], [[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [12, 1]], 17/311040], [[[1, 4], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 13/165888], [[[1, 4], [2, 4], [3, 3], [6, 1], [8, 1], [12, 1]], 5/124416], [[[1, 4], [2, 4], [3, 3], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 67/5971968], [[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 487/17915904], [[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 403/7464960], [[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 3359/35831808], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 3/10240], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 53/144000], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 17/241920], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/16128], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 23/155520], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 5/165888], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 619/6635520], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 3], [12, 1]], 7/414720], [[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 799/2580480], [[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2240], [[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/11520], [[[1, 4], [2, 4], [4, 1], [5, 1], [8, 1], [9, 1]], 11/82944], [[[1, 4], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 3/17920], [[[1, 4], [2, 4], [4, 1], [5, 1], [8, 1], [18, 1]], 1/11520], [[[1, 4], [2, 4], [4, 1], [5, 1], [9, 1], [10, 1]], 119/460800], [[[1, 4], [2, 4], [4, 1], [5, 1], [9, 1], [12, 1]], 1/51840], [[[1, 4], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 4], [4, 1], [5, 1], [10, 1], [18, 1]], 119/460800], [[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 47/460800], [[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 41/96000], [[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400], [[[1, 4], [2, 4], [4, 1], [6, 1], [7, 1], [9, 1]], 5/72576], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9216], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5760], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 23/442368], [[[1, 4], [2, 4], [4, 1], [6, 1], [10, 1], [12, 2]], 1/69120], [[[1, 4], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 11/122880], [[[1, 4], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 19/193536], [[[1, 4], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 4], [2, 4], [4, 1], [6, 2], [8, 1], [9, 1]], 1/41472], [[[1, 4], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 55/1161216], [[[1, 4], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 275/1990656], [[[1, 4], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 131/5806080], [[[1, 4], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 137/1244160], [[[1, 4], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 3/28672], [[[1, 4], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 529/2985984], [[[1, 4], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 143/5971968], [[[1, 4], [2, 4], [4, 1], [6, 3], [8, 1], [12, 1]], 19/663552], [[[1, 4], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 191/7464960], [[[1, 4], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 3/17920], [[[1, 4], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 1/10752], [[[1, 4], [2, 4], [4, 1], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 4], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 799/2580480], [[[1, 4], [2, 4], [4, 1], [8, 1], [10, 1], [18, 1]], 11/82944], [[[1, 4], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/10752], [[[1, 4], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/11520], [[[1, 4], [2, 4], [4, 1], [10, 1], [12, 1], [18, 1]], 1/51840], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 313/1935360], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 1], [9, 1]], 7/207360], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 13/161280], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 31/207360], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/6144], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 53/307200], [[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/23040], [[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 437/460800], [[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3072], [[[1, 4], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/2560], [[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 19/64512], [[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 11/80640], [[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 5/48384], [[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 5/27648], [[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/3456], [[[1, 4], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 41/483840], [[[1, 4], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 251/1658880], [[[1, 4], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 683/3096576], [[[1, 4], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 25/124416], [[[1, 4], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 7/276480], [[[1, 4], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 89/331776], [[[1, 4], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 175/1327104], [[[1, 4], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3072], [[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 11/46080], [[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 157/691200], [[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 19/184320], [[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 631/2211840], [[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 23/55296], [[[1, 4], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 143/1105920], [[[1, 4], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 4], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/8400], [[[1, 4], [2, 4], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680], [[[1, 4], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 4], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760], [[[1, 4], [2, 4], [5, 1], [6, 1], [9, 1], [10, 1]], 7/103680], [[[1, 4], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4200], [[[1, 4], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 3/12800], [[[1, 4], [2, 4], [5, 1], [6, 1], [12, 1], [14, 1]], 1/26880], [[[1, 4], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 47/414720], [[[1, 4], [2, 4], [5, 1], [6, 2], [10, 1], [12, 1]], 11/153600], [[[1, 4], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 61/483840], [[[1, 4], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 11/51840], [[[1, 4], [2, 4], [6, 1], [8, 1], [12, 1], [14, 1]], 5/193536], [[[1, 4], [2, 4], [6, 1], [10, 1], [12, 1], [14, 1]], 181/7741440], [[[1, 4], [2, 4], [6, 2], [8, 1], [10, 1], [12, 1]], 1/69120], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 659/5971968], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 29/2419200], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 1/55296], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 1/30240], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 661/11059200], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 133/294912], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 25601/33177600], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 1823/46448640], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 29/497664], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 52937/69672960], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 21169/29859840], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 76393/143327232], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 707/1382400], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 111947/358318080], [[[1, 4], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 283/15482880], [[[1, 4], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 13/1935360], [[[1, 4], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 89/23224320], [[[1, 4], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 853/19906560], [[[1, 4], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 19/110592], [[[1, 4], [2, 6], [3, 1], [4, 1], [8, 1], [18, 1]], 5/331776], [[[1, 4], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 13/829440], [[[1, 4], [2, 6], [3, 1], [4, 1], [9, 1], [12, 1]], 1/497664], [[[1, 4], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 1331/4838400], [[[1, 4], [2, 6], [3, 1], [4, 1], [10, 1], [18, 1]], 23/1036800], [[[1, 4], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 1/72576], [[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 5707/26542080], [[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 389/5529600], [[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 881/3686400], [[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 733/66355200], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1187/15482880], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 1667/19906560], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 10999/15482880], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 17999/59719680], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 159077/159252480], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 31009/39813120], [[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 4397/8847360], [[[1, 4], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 383/1105920], [[[1, 4], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1757/26542080], [[[1, 4], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 223/6635520], [[[1, 4], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 7949/66355200], [[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 5153/7962624], [[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1369/3686400], [[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 8797/26542080], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 359/23224320], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 43/2488320], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 17/403200], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 7/311040], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 65/1327104], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 203029/398131200], [[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [12, 1]], 1/138240], [[[1, 4], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 193/1843200], [[[1, 4], [2, 6], [3, 1], [5, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 4], [2, 6], [3, 1], [5, 1], [10, 1], [12, 1]], 43/4423680], [[[1, 4], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 23/1161216], [[[1, 4], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 4], [2, 6], [3, 1], [6, 1], [7, 1], [12, 1]], 1/387072], [[[1, 4], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1]], 13/497664], [[[1, 4], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 307/967680], [[[1, 4], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 157/1866240], [[[1, 4], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 4], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 164753/348364800], [[[1, 4], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 851/3732480], [[[1, 4], [2, 6], [3, 1], [6, 1], [12, 1], [14, 1]], 19/1451520], [[[1, 4], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 83/207360], [[[1, 4], [2, 6], [3, 1], [6, 2], [8, 1], [12, 1]], 133/9953280], [[[1, 4], [2, 6], [3, 1], [6, 2], [10, 1], [12, 1]], 347/4976640], [[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 6983/33177600], [[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 463/33177600], [[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 497/11059200], [[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 13/5529600], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 743/23224320], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 53/663552], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 7283/23224320], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/12960], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 58319/79626240], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 6803/6635520], [[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 4523/19906560], [[[1, 4], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 23/414720], [[[1, 4], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 5/442368], [[[1, 4], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 419/11059200], [[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 6559/17694720], [[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 10603/26542080], [[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 51461/238878720], [[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/51840], [[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 7681/44236800], [[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [12, 1]], 19/3317760], [[[1, 4], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1331/16588800], [[[1, 4], [2, 6], [3, 2], [6, 1], [8, 1], [12, 1]], 1/147456], [[[1, 4], [2, 6], [3, 2], [6, 1], [10, 1], [12, 1]], 1/103680], [[[1, 4], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 157/8294400], [[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 2267/47775744], [[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 917/12441600], [[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 5309/119439360], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 7/276480], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 1], [9, 1]], 1/138240], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 37/322560], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 133/1244160], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 23/276480], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1453/3686400], [[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [12, 1]], 7/414720], [[[1, 4], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1999/3686400], [[[1, 4], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 11/307200], [[[1, 4], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 47/1548288], [[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1]], 17/663552], [[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 5029/9289728], [[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 2123/6635520], [[[1, 4], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 883/1451520], [[[1, 4], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 115/248832], [[[1, 4], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 463/3870720], [[[1, 4], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 19/746496], [[[1, 4], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 6653/19906560], [[[1, 4], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 947/13271040], [[[1, 4], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 809/4976640], [[[1, 4], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 43/184320], [[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 911/1843200], [[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 1/184320], [[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 901/1105920], [[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 4871/26542080], [[[1, 4], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 3361/13271040], [[[1, 4], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 4969/16588800], [[[1, 4], [2, 6], [5, 1], [6, 1], [10, 1], [12, 1]], 29/1474560], [[[1, 4], [2, 6], [6, 1], [8, 1], [10, 1], [12, 1]], 23/2764800], [[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 26647/928972800], [[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 143/132710400], [[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 443/20736000], [[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 1/22118400], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 1/580608], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 11/3981312], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 3329/13063680], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 73111/1254113280], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 536701/1911029760], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 62773/87091200], [[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 62507/1672151040], [[[1, 4], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 5507/116121600], [[[1, 4], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 7/11796480], [[[1, 4], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 4], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 11833/696729600], [[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 29321/139345920], [[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 112849/261273600], [[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 38783/1672151040], [[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 17/8294400], [[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 68011/1306368000], [[[1, 4], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 25387/261273600], [[[1, 4], [2, 8], [3, 1], [6, 1], [8, 1], [12, 1]], 1/19906560], [[[1, 4], [2, 8], [3, 1], [6, 1], [10, 1], [12, 1]], 29/21772800], [[[1, 4], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 287/99532800], [[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 10219/334430208], [[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 839581/8360755200], [[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 19/5308416], [[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 77/5529600], [[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 2309/13824000], [[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [12, 1]], 7/16588800], [[[1, 4], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 19991/59719680], [[[1, 4], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 533/92897280], [[[1, 4], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 9881/278691840], [[[1, 4], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 77521/167215104000], [[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 13073/1146617856], [[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 598291/8360755200], [[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 10301/28665446400], [[[1, 4], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/460800], [[[1, 4], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/76800], [[[1, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/55296], [[[1, 4], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/2985984], [[[1, 4], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 4], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 4], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/645120], [[[1, 4], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/241920], [[[1, 4], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/12960], [[[1, 4], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/193536], [[[1, 4], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/248832], [[[1, 4], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 4], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/41472], [[[1, 4], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/17280], [[[1, 4], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 4], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/414720], [[[1, 4], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/69120], [[[1, 4], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 17/331776], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 1/3520], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 3]], 1/1382400], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4800], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/17280], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/7056], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [9, 2]], 1/93312], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 2], [11, 1]], 1/270336], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 3], [12, 2]], 1/331776], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 5], [12, 1]], 1/17915904], [[[1, 5], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 5], [2, 1], [3, 1], [4, 1], [7, 1], [12, 2]], 1/241920], [[[1, 5], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 1/25344], [[[1, 5], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 5], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/95040], [[[1, 5], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 145/3649536], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/15360], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 2], [6, 2]], 7/11059200], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/30720], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 7/1843200], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 1], [11, 1]], 1/22528], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 2], [8, 2]], 1/884736], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 2], [12, 2]], 1/110592], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 4], [12, 1]], 1/5971968], [[[1, 5], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 5/82944], [[[1, 5], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/147456], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/20736], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 11/1244160], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/230400], [[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 5], [2, 1], [3, 1], [4, 3], [6, 2], [7, 1]], 1/2903040], [[[1, 5], [2, 1], [3, 1], [4, 3], [6, 3], [8, 1]], 1/3981312], [[[1, 5], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672], [[[1, 5], [2, 1], [3, 1], [4, 3], [7, 1], [10, 1]], 1/161280], [[[1, 5], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 1/80640], [[[1, 5], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 5/331776], [[[1, 5], [2, 1], [3, 1], [4, 3], [8, 1], [18, 1]], 1/55296], [[[1, 5], [2, 1], [3, 1], [4, 3], [9, 1], [10, 1]], 1/207360], [[[1, 5], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 1/124416], [[[1, 5], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 1/368640], [[[1, 5], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 1/368640], [[[1, 5], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/884736], [[[1, 5], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/589824], [[[1, 5], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/2112], [[[1, 5], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 47/60480], [[[1, 5], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/2240], [[[1, 5], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 5], [2, 1], [3, 1], [5, 2], [6, 2], [8, 1]], 1/921600], [[[1, 5], [2, 1], [3, 1], [5, 2], [6, 2], [10, 1]], 1/115200], [[[1, 5], [2, 1], [3, 1], [5, 2], [8, 1], [12, 1]], 1/153600], [[[1, 5], [2, 1], [3, 1], [5, 2], [10, 1], [12, 1]], 1/19200], [[[1, 5], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/114048], [[[1, 5], [2, 1], [3, 1], [6, 1], [8, 1], [22, 1]], 1/152064], [[[1, 5], [2, 1], [3, 1], [6, 3], [7, 1], [8, 1]], 1/2903040], [[[1, 5], [2, 1], [3, 1], [6, 3], [8, 1], [18, 1]], 1/373248], [[[1, 5], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/5376], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/46080], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [12, 2]], 1/103680], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2]], 1/138240], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/43200], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 13/432000], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 97/1036800], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 13/228096], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [22, 1]], 161/12165120], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 2], [12, 2]], 1/82944], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 3], [7, 1]], 1/580608], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1]], 1/746496], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 3], [18, 1]], 161/29859840], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 4], [12, 1]], 1/4478976], [[[1, 5], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/4032], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [6, 3]], 1/3317760], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 59/1935360], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 11/138240], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/46080], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 17/884736], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 2], [7, 1]], 11/4644864], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 2], [9, 1]], 1/663552], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/82944], [[[1, 5], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/48384], [[[1, 5], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 11/774144], [[[1, 5], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/20736], [[[1, 5], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 1/110592], [[[1, 5], [2, 1], [3, 2], [4, 3], [5, 1], [6, 2]], 1/1244160], [[[1, 5], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/46080], [[[1, 5], [2, 1], [3, 2], [4, 3], [5, 1], [10, 1]], 1/345600], [[[1, 5], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 1/103680], [[[1, 5], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/96768], [[[1, 5], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 1/82944], [[[1, 5], [2, 1], [3, 2], [4, 3], [6, 2], [8, 1]], 1/1327104], [[[1, 5], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/24576], [[[1, 5], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/221184], [[[1, 5], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/552960], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 2], [7, 1]], 1/32256], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1]], 1/62208], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 3], [8, 1]], 1/1244160], [[[1, 5], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 61/483840], [[[1, 5], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/30240], [[[1, 5], [2, 1], [3, 2], [5, 1], [7, 1], [12, 1]], 1/5376], [[[1, 5], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/10368], [[[1, 5], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/25920], [[[1, 5], [2, 1], [3, 2], [5, 1], [9, 1], [12, 1]], 1/10368], [[[1, 5], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 13/518400], [[[1, 5], [2, 1], [3, 2], [5, 2], [6, 1], [12, 1]], 1/14400], [[[1, 5], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3402], [[[1, 5], [2, 1], [3, 2], [6, 2], [7, 1], [8, 1]], 1/387072], [[[1, 5], [2, 1], [3, 2], [6, 2], [8, 1], [9, 1]], 1/497664], [[[1, 5], [2, 1], [3, 2], [6, 2], [8, 1], [18, 1]], 1/248832], [[[1, 5], [2, 1], [3, 2], [6, 3], [8, 1], [12, 1]], 1/331776], [[[1, 5], [2, 1], [3, 2], [7, 1], [8, 1], [12, 1]], 1/64512], [[[1, 5], [2, 1], [3, 2], [8, 1], [9, 1], [12, 1]], 1/82944], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 13/1244160], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 293/13934592], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 13/77760], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/12441600], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1/331776], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 2], [7, 1]], 1/48384], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 19/1990656], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 3], [8, 1]], 1/497664], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 55/995328], [[[1, 5], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 7/165888], [[[1, 5], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 121/21772800], [[[1, 5], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1741/13063680], [[[1, 5], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 13/186624], [[[1, 5], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/87480], [[[1, 5], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 2051/26873856], [[[1, 5], [2, 1], [3, 3], [4, 2], [5, 1], [6, 2]], 1/552960], [[[1, 5], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 49/4976640], [[[1, 5], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 49/19906560], [[[1, 5], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 1/92160], [[[1, 5], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 5/290304], [[[1, 5], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/31104], [[[1, 5], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1]], 1/663552], [[[1, 5], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 41/663552], [[[1, 5], [2, 1], [3, 3], [4, 2], [8, 1], [12, 1]], 1/110592], [[[1, 5], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/207360], [[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 5/1327104], [[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 89/1990656], [[[1, 5], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 11/60480], [[[1, 5], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 11/38880], [[[1, 5], [2, 1], [3, 3], [5, 1], [6, 2], [8, 1]], 1/829440], [[[1, 5], [2, 1], [3, 3], [5, 1], [6, 2], [10, 1]], 1/207360], [[[1, 5], [2, 1], [3, 3], [5, 1], [8, 1], [12, 1]], 1/138240], [[[1, 5], [2, 1], [3, 3], [5, 1], [10, 1], [12, 1]], 1/34560], [[[1, 5], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 121/26127360], [[[1, 5], [2, 1], [3, 3], [6, 1], [7, 1], [12, 1]], 5/36288], [[[1, 5], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/104976], [[[1, 5], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/15552], [[[1, 5], [2, 1], [3, 4], [4, 1], [5, 1], [6, 2]], 1/155520], [[[1, 5], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 17/2488320], [[[1, 5], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 37/9331200], [[[1, 5], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 253/5598720], [[[1, 5], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 17/5225472], [[[1, 5], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 53/2239488], [[[1, 5], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1]], 7/1492992], [[[1, 5], [2, 1], [3, 4], [4, 1], [6, 2], [10, 1]], 1/2799360], [[[1, 5], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 251/13436928], [[[1, 5], [2, 1], [3, 4], [4, 1], [8, 1], [12, 1]], 7/248832], [[[1, 5], [2, 1], [3, 4], [4, 1], [10, 1], [12, 1]], 1/466560], [[[1, 5], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 337/29859840], [[[1, 5], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 7/8957952], [[[1, 5], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/221184], [[[1, 5], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 37/11197440], [[[1, 5], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 7/103680], [[[1, 5], [2, 1], [3, 4], [6, 1], [8, 1], [12, 1]], 1/559872], [[[1, 5], [2, 1], [3, 5], [4, 1], [5, 1], [6, 1]], 1/11197440], [[[1, 5], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 5/2239488], [[[1, 5], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 101/17915904], [[[1, 5], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/7040], [[[1, 5], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 121/967680], [[[1, 5], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/9600], [[[1, 5], [2, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/172800], [[[1, 5], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/12800], [[[1, 5], [2, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/2027520], [[[1, 5], [2, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/348364800], [[[1, 5], [2, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/4976640], [[[1, 5], [2, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/16128], [[[1, 5], [2, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/302400], [[[1, 5], [2, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/181440], [[[1, 5], [2, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/4838400], [[[1, 5], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/13440], [[[1, 5], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/26880], [[[1, 5], [2, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/69120], [[[1, 5], [2, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/276480], [[[1, 5], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 7/460800], [[[1, 5], [2, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 5], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 5], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/122880], [[[1, 5], [2, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/4976640], [[[1, 5], [2, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 5], [2, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/362880], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4]], 13/7464960], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/3840], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 17/86400], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [12, 2]], 1/69120], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 461/2211840], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 47/153600], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 11/19200], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1219/5529600], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 205/331776], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [22, 1]], 47/608256], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 11/221184], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 1/138240], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 23/884736], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 103/5806080], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1]], 1/93312], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 11/2985984], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 61/1492992], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1]], 55/35831808], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1]], 13/22394880], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 221/15925248], [[[1, 5], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 101/193536], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/92160], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/30720], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 1/36864], [[[1, 5], [2, 3], [3, 1], [4, 1], [14, 1], [18, 1]], 5/290304], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 23/552960], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 143/322560], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 29/82944], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 511/2764800], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 487/1327104], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/73728], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/25920], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1475/4644864], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1]], 7/124416], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 13/774144], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 17/331776], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 5/221184], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 13/4976640], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 137/1990656], [[[1, 5], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 473/774144], [[[1, 5], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/11520], [[[1, 5], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 29/110592], [[[1, 5], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 377/995328], [[[1, 5], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 5/129024], [[[1, 5], [2, 3], [3, 1], [4, 2], [8, 1], [18, 1]], 1/12288], [[[1, 5], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 11/103680], [[[1, 5], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 19/124416], [[[1, 5], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 11/322560], [[[1, 5], [2, 3], [3, 1], [4, 2], [10, 1], [18, 1]], 1/69120], [[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 113/3317760], [[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 49/122880], [[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 689/4147200], [[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 17/184320], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 23/92160], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 209/2985984], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/43008], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [18, 1]], 17/331776], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 2561/21233664], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 59/6635520], [[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 235/1327104], [[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 37/276480], [[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1987/10616832], [[[1, 5], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 1/368640], [[[1, 5], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 161/4423680], [[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 109/884736], [[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 7/737280], [[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 983/6635520], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 7/92160], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 13/72000], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1801/11612160], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 11/155520], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/60480], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1]], 1/829440], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/46656], [[[1, 5], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 139/414720], [[[1, 5], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 13/33600], [[[1, 5], [2, 3], [3, 1], [5, 1], [7, 1], [12, 1]], 17/215040], [[[1, 5], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 251/622080], [[[1, 5], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 7/23040], [[[1, 5], [2, 3], [3, 1], [5, 1], [10, 1], [18, 1]], 7/103680], [[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 47/138240], [[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 13/14400], [[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [12, 1]], 7/691200], [[[1, 5], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 71/217728], [[[1, 5], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 11/691200], [[[1, 5], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 3], [3, 1], [6, 1], [10, 2], [12, 1]], 1/691200], [[[1, 5], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/217728], [[[1, 5], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 701/11612160], [[[1, 5], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/241920], [[[1, 5], [2, 3], [3, 1], [6, 2], [7, 1], [12, 1]], 1/145152], [[[1, 5], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1]], 13/373248], [[[1, 5], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 5/290304], [[[1, 5], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 85/1492992], [[[1, 5], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 43/2903040], [[[1, 5], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 17/622080], [[[1, 5], [2, 3], [3, 1], [6, 2], [12, 1], [14, 1]], 1/290304], [[[1, 5], [2, 3], [3, 1], [6, 2], [12, 1], [18, 1]], 1/124416], [[[1, 5], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 7/1244160], [[[1, 5], [2, 3], [3, 1], [6, 3], [8, 1], [12, 1]], 1/165888], [[[1, 5], [2, 3], [3, 1], [6, 3], [10, 1], [12, 1]], 1/829440], [[[1, 5], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 5], [2, 3], [3, 1], [7, 1], [8, 1], [12, 1]], 53/1935360], [[[1, 5], [2, 3], [3, 1], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 5], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 5], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 17/1935360], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1153/4976640], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1849/5806080], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 71/155520], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 53/172800], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 301/663552], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 967/36864000], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 223/13271040], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 8693/13934592], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 319/746496], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 4031/46448640], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 7441/59719680], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 511/5971968], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1891/99532800], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 19123/79626240], [[[1, 5], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 25/64512], [[[1, 5], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/16128], [[[1, 5], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 661/2322432], [[[1, 5], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 113/248832], [[[1, 5], [2, 3], [3, 2], [4, 1], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 5/41472], [[[1, 5], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 229/995328], [[[1, 5], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/96768], [[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 491/1658880], [[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 497/1658880], [[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 161/921600], [[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 89/331776], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 191/580608], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 13/27648], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 19/516096], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 5/82944], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 589/1327104], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 31/414720], [[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 2827/3981312], [[[1, 5], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 23/276480], [[[1, 5], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 379/1327104], [[[1, 5], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 1/69120], [[[1, 5], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 689/3981312], [[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 727/2359296], [[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 13/442368], [[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2304], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1063/1451520], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 239/311040], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 139/331776], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 19813/49766400], [[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [12, 1]], 1/69120], [[[1, 5], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 119/691200], [[[1, 5], [2, 3], [3, 2], [5, 1], [8, 1], [12, 1]], 23/829440], [[[1, 5], [2, 3], [3, 2], [5, 1], [10, 1], [12, 1]], 41/460800], [[[1, 5], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 37/72576], [[[1, 5], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 3], [3, 2], [6, 1], [7, 1], [12, 1]], 47/290304], [[[1, 5], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 125/248832], [[[1, 5], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 17/1548288], [[[1, 5], [2, 3], [3, 2], [6, 1], [8, 1], [18, 1]], 1/124416], [[[1, 5], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/15552], [[[1, 5], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 1/41472], [[[1, 5], [2, 3], [3, 2], [6, 1], [10, 1], [14, 1]], 97/7741440], [[[1, 5], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 1/155520], [[[1, 5], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 49/663552], [[[1, 5], [2, 3], [3, 2], [6, 2], [8, 1], [12, 1]], 1/82944], [[[1, 5], [2, 3], [3, 2], [6, 2], [10, 1], [12, 1]], 1/207360], [[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 28049/89579520], [[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 227/4976640], [[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 8339/66355200], [[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1801/14929920], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 2249/7464960], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 16441/26873856], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/110592], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [18, 1]], 1/62208], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 13097/35831808], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 29/311040], [[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 21889/47775744], [[[1, 5], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 97/4976640], [[[1, 5], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 67/995328], [[[1, 5], [2, 3], [3, 3], [4, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 919/7464960], [[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 181/663552], [[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 257/4976640], [[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 5309/11943936], [[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 943/7464960], [[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 521/2332800], [[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [12, 1]], 61/414720], [[[1, 5], [2, 3], [3, 3], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 5], [2, 3], [3, 3], [6, 1], [10, 1], [12, 1]], 1/51840], [[[1, 5], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 4553/44789760], [[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 289/2239488], [[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 209/7464960], [[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 170543/716636160], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 19/483840], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 2], [9, 1]], 1/155520], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 13/1244160], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1]], 1/1658880], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 7/6635520], [[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 19/21504], [[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 47/89600], [[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/7680], [[[1, 5], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1]], 11/69120], [[[1, 5], [2, 3], [4, 1], [5, 1], [8, 1], [18, 1]], 1/23040], [[[1, 5], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1]], 49/307200], [[[1, 5], [2, 3], [4, 1], [5, 1], [9, 1], [12, 1]], 1/51840], [[[1, 5], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 73/1612800], [[[1, 5], [2, 3], [4, 1], [5, 1], [10, 1], [18, 1]], 7/92160], [[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 61/460800], [[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 49/144000], [[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400], [[[1, 5], [2, 3], [4, 1], [6, 1], [7, 1], [9, 1]], 23/725760], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1/36864], [[[1, 5], [2, 3], [4, 1], [6, 1], [10, 2], [12, 1]], 7/6144000], [[[1, 5], [2, 3], [4, 1], [6, 1], [14, 1], [18, 1]], 31/5806080], [[[1, 5], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 5], [2, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/248832], [[[1, 5], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/387072], [[[1, 5], [2, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 11/497664], [[[1, 5], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 61/58060800], [[[1, 5], [2, 3], [4, 1], [6, 2], [10, 1], [18, 1]], 67/6220800], [[[1, 5], [2, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 31/7741440], [[[1, 5], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 223/29859840], [[[1, 5], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/622080], [[[1, 5], [2, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 1/331776], [[[1, 5], [2, 3], [4, 1], [6, 3], [10, 1], [12, 1]], 11/16588800], [[[1, 5], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 1/16128], [[[1, 5], [2, 3], [4, 1], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 5], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 1/43008], [[[1, 5], [2, 3], [4, 1], [8, 1], [10, 1], [18, 1]], 1/34560], [[[1, 5], [2, 3], [4, 1], [10, 1], [12, 1], [14, 1]], 1/967680], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 113/322560], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 1], [9, 1]], 1/41472], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/69120], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 13/276480], [[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 11/221184], [[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 431/921600], [[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/5120], [[[1, 5], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4608], [[[1, 5], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 11/36864], [[[1, 5], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 5], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[1, 5], [2, 3], [4, 2], [6, 1], [8, 1], [9, 1]], 1/36864], [[[1, 5], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 1/36864], [[[1, 5], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 5], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 11/774144], [[[1, 5], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/41472], [[[1, 5], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 17/442368], [[[1, 5], [2, 3], [4, 2], [6, 2], [10, 1], [12, 1]], 1/552960], [[[1, 5], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/18432], [[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 47/1105920], [[[1, 5], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 527/3538944], [[[1, 5], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 11/1105920], [[[1, 5], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 5], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 3], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680], [[[1, 5], [2, 3], [5, 1], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 5], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 13/414720], [[[1, 5], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 11/414720], [[[1, 5], [2, 3], [5, 1], [6, 2], [10, 1], [12, 1]], 13/552960], [[[1, 5], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/92160], [[[1, 5], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 7/414720], [[[1, 5], [2, 3], [6, 1], [8, 1], [12, 1], [14, 1]], 1/258048], [[[1, 5], [2, 3], [6, 1], [10, 1], [12, 1], [14, 1]], 1/1290240], [[[1, 5], [2, 3], [6, 2], [8, 1], [10, 1], [12, 1]], 1/552960], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 2071/9953280], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 8027/58060800], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 4621/24883200], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/13440], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1021/2764800], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 181/221184], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1021/2764800], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 6323/29030400], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 55/373248], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1025/3483648], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 587/1492992], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 19171/71663616], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 12689/89579520], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 5005/23887872], [[[1, 5], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 77/442368], [[[1, 5], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 41/387072], [[[1, 5], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 2083/29030400], [[[1, 5], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 877/3981312], [[[1, 5], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 71/387072], [[[1, 5], [2, 5], [3, 1], [4, 1], [8, 1], [18, 1]], 23/497664], [[[1, 5], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 343/2488320], [[[1, 5], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 43/1492992], [[[1, 5], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 143/967680], [[[1, 5], [2, 5], [3, 1], [4, 1], [10, 1], [18, 1]], 47/1244160], [[[1, 5], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 1/48384], [[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 12713/26542080], [[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1859/4423680], [[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 49/76800], [[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 761/4423680], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 3625/9289728], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 395/1327104], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 3625/9289728], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 395/1327104], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 21953/21233664], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 913/2211840], [[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 52699/79626240], [[[1, 5], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 119/221184], [[[1, 5], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 913/3538944], [[[1, 5], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/15360], [[[1, 5], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1303/3317760], [[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 6011/5308416], [[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1303/3317760], [[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1127/1769472], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 3851/23224320], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 701/4976640], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/16128], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 7/103680], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1351/6635520], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 216839/398131200], [[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [12, 1]], 1/41472], [[[1, 5], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1273/4147200], [[[1, 5], [2, 5], [3, 1], [5, 1], [8, 1], [12, 1]], 7/1105920], [[[1, 5], [2, 5], [3, 1], [5, 1], [10, 1], [12, 1]], 557/22118400], [[[1, 5], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1931/11612160], [[[1, 5], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/16128], [[[1, 5], [2, 5], [3, 1], [6, 1], [7, 1], [12, 1]], 5/290304], [[[1, 5], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 413/2985984], [[[1, 5], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1931/11612160], [[[1, 5], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 413/2985984], [[[1, 5], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 7/103680], [[[1, 5], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 3851/23224320], [[[1, 5], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 701/4976640], [[[1, 5], [2, 5], [3, 1], [6, 1], [12, 1], [14, 1]], 5/290304], [[[1, 5], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 65/331776], [[[1, 5], [2, 5], [3, 1], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 5], [2, 5], [3, 1], [6, 2], [10, 1], [12, 1]], 253/6635520], [[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 3361/4147200], [[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 223/1658880], [[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1219/4147200], [[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 743/12441600], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 1025/3483648], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 587/1492992], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 6323/29030400], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 55/373248], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 5105/3981312], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 3361/4147200], [[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 26429/59719680], [[[1, 5], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 47/276480], [[[1, 5], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 23/442368], [[[1, 5], [2, 5], [3, 2], [4, 1], [10, 1], [12, 1]], 13/552960], [[[1, 5], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 913/2211840], [[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 21953/21233664], [[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 12713/26542080], [[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 52699/79626240], [[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 65/331776], [[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 216839/398131200], [[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [12, 1]], 253/6635520], [[[1, 5], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1351/6635520], [[[1, 5], [2, 5], [3, 2], [6, 1], [8, 1], [12, 1]], 1/55296], [[[1, 5], [2, 5], [3, 2], [6, 1], [10, 1], [12, 1]], 1/41472], [[[1, 5], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 12689/89579520], [[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 19171/71663616], [[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 2071/9953280], [[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 5005/23887872], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 143/967680], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1]], 47/1244160], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 41/387072], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 343/2488320], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 47/276480], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1219/4147200], [[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [12, 1]], 13/552960], [[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 3851/3686400], [[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 5], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1/15360], [[[1, 5], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 71/387072], [[[1, 5], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1]], 23/497664], [[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 77/442368], [[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 877/3981312], [[[1, 5], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 8027/58060800], [[[1, 5], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 4621/24883200], [[[1, 5], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 2083/29030400], [[[1, 5], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 43/1492992], [[[1, 5], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 223/1658880], [[[1, 5], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 23/442368], [[[1, 5], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 743/12441600], [[[1, 5], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 119/221184], [[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 49/76800], [[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 1/15360], [[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1859/4423680], [[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 913/3538944], [[[1, 5], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 761/4423680], [[[1, 5], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1273/4147200], [[[1, 5], [2, 5], [5, 1], [6, 1], [10, 1], [12, 1]], 557/22118400], [[[1, 5], [2, 5], [6, 1], [8, 1], [10, 1], [12, 1]], 7/1105920], [[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 7309/39813120], [[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 809/22118400], [[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 7507/49766400], [[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 71/33177600], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 523/14515200], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 2077/59719680], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 349/870912], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 9311/59719680], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 127253/191102976], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 990359/1194393600], [[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 84443/716636160], [[[1, 5], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 35/221184], [[[1, 5], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 259/53084160], [[[1, 5], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 413/66355200], [[[1, 5], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 5027/26542080], [[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 677/829440], [[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 7247/8847360], [[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 155527/1194393600], [[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 223/6635520], [[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 27707/124416000], [[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [12, 1]], 1/1658880], [[[1, 5], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 14561/77414400], [[[1, 5], [2, 7], [3, 1], [6, 1], [8, 1], [12, 1]], 1/4423680], [[[1, 5], [2, 7], [3, 1], [6, 1], [10, 1], [12, 1]], 1/230400], [[[1, 5], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 607/8847360], [[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 46951/212336640], [[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 51707/165888000], [[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 901/22394880], [[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 19/184320], [[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 649/1658880], [[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 13/4423680], [[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 27239/66355200], [[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 583/35389440], [[[1, 5], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 46793/870912000], [[[1, 5], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 7571/836075520], [[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 378439/5016453120], [[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 2856127/12541132800], [[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 17305/5350883328], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/7680], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 11/345600], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [12, 2]], 1/345600], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 449/4423680], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 131/460800], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 23/108000], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 5197/33177600], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 721/3649536], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [22, 1]], 23/6082560], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 19/5308416], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 1/442368], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1]], 1/967680], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 3], [18, 1]], 1/622080], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1]], 1/11943936], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1]], 1/298598400], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 131/119439360], [[[1, 6], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 445/1161216], [[[1, 6], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/294912], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3]], 1/1658880], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 19/53760], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 3/20480], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 241/2764800], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/36864], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 23/7464960], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 211/13271040], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1]], 7/746496], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 2], [18, 1]], 11/4976640], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1]], 7/11943936], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 61/19906560], [[[1, 6], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 5/27648], [[[1, 6], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/34560], [[[1, 6], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 2831/46448640], [[[1, 6], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 37/331776], [[[1, 6], [2, 2], [3, 1], [4, 2], [8, 1], [18, 1]], 5/331776], [[[1, 6], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 11/518400], [[[1, 6], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 17/622080], [[[1, 6], [2, 2], [3, 1], [4, 2], [10, 1], [14, 1]], 11/6451200], [[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 143/33177600], [[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 23/276480], [[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 241/8294400], [[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 7/614400], [[[1, 6], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 11/215040], [[[1, 6], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 233/14929920], [[[1, 6], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 19/3538944], [[[1, 6], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/61440], [[[1, 6], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 1/196608], [[[1, 6], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 59/6635520], [[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 23/884736], [[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 1421/59719680], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/138240], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/57600], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 20413/696729600], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 7/466560], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1]], 1/4147200], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 3], [10, 1]], 1/7464960], [[[1, 6], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 5/13824], [[[1, 6], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/5600], [[[1, 6], [2, 2], [3, 1], [5, 1], [7, 1], [12, 1]], 131/1843200], [[[1, 6], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 13/51840], [[[1, 6], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 59/691200], [[[1, 6], [2, 2], [3, 1], [5, 1], [10, 1], [18, 1]], 1/103680], [[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 763/4147200], [[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 17/57600], [[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [12, 1]], 1/691200], [[[1, 6], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 137/1088640], [[[1, 6], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2]], 1/1382400], [[[1, 6], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/276480], [[[1, 6], [2, 2], [3, 1], [6, 2], [7, 1], [10, 1]], 1/2419200], [[[1, 6], [2, 2], [3, 1], [6, 2], [7, 1], [12, 1]], 1/1451520], [[[1, 6], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1]], 1/1866240], [[[1, 6], [2, 2], [3, 1], [6, 2], [8, 1], [14, 1]], 1/580608], [[[1, 6], [2, 2], [3, 1], [6, 2], [8, 1], [18, 1]], 1/248832], [[[1, 6], [2, 2], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2903040], [[[1, 6], [2, 2], [3, 1], [7, 1], [8, 1], [12, 1]], 1/107520], [[[1, 6], [2, 2], [3, 1], [7, 1], [10, 1], [12, 1]], 1/403200], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3]], 227/19906560], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 251/552960], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 85/165888], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 23/86400], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 521/15925248], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 161/110592000], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 5/3981312], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 527/3096576], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1015/11943936], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 23/6635520], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 67/6635520], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1]], 79/19906560], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1]], 1/12441600], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 497/23887872], [[[1, 6], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 65/193536], [[[1, 6], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 83/3628800], [[[1, 6], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 11881/69672960], [[[1, 6], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 43/221184], [[[1, 6], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 1/43200], [[[1, 6], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 91/1105920], [[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 2021/39813120], [[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 61/276480], [[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 577/8294400], [[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 391/3981312], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 37/207360], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 115/995328], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 23/4423680], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 757/19906560], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 59/22118400], [[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 383/3317760], [[[1, 6], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/165888], [[[1, 6], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 175/3981312], [[[1, 6], [2, 2], [3, 2], [4, 2], [10, 1], [12, 1]], 1/691200], [[[1, 6], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 131/2488320], [[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 221/3538944], [[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1]], 1/414720], [[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 1159/19906560], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 7187/8709120], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 97/155520], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 37/1244160], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 203/8294400], [[[1, 6], [2, 2], [3, 2], [5, 1], [6, 2], [12, 1]], 1/622080], [[[1, 6], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 13/276480], [[[1, 6], [2, 2], [3, 2], [5, 1], [8, 1], [12, 1]], 1/69120], [[[1, 6], [2, 2], [3, 2], [5, 1], [10, 1], [12, 1]], 3/102400], [[[1, 6], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 2101/8709120], [[[1, 6], [2, 2], [3, 2], [6, 1], [7, 1], [12, 1]], 97/1451520], [[[1, 6], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 169/1244160], [[[1, 6], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/373248], [[[1, 6], [2, 2], [3, 2], [6, 1], [10, 1], [14, 1]], 107/77414400], [[[1, 6], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/165888], [[[1, 6], [2, 2], [3, 2], [6, 2], [8, 1], [12, 1]], 1/2488320], [[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 479/4976640], [[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 133/995328], [[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 12779/331776000], [[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1799/12441600], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 263/1244160], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1709/6718464], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1801/35831808], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 1243/99532800], [[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1441/23887872], [[[1, 6], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/311040], [[[1, 6], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 151/2985984], [[[1, 6], [2, 2], [3, 3], [4, 1], [10, 1], [12, 1]], 1/414720], [[[1, 6], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 647/7464960], [[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 751/11943936], [[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1]], 1/466560], [[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 2693/35831808], [[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1717/12441600], [[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 49/829440], [[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [12, 1]], 13/103680], [[[1, 6], [2, 2], [3, 3], [6, 1], [8, 1], [12, 1]], 1/124416], [[[1, 6], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 16019/179159040], [[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 10699/179159040], [[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 601/111974400], [[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 20387/214990848], [[[1, 6], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 6], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 7/66355200], [[[1, 6], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 139/286720], [[[1, 6], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 73/504000], [[[1, 6], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 67/1209600], [[[1, 6], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/13824], [[[1, 6], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 257/13824000], [[[1, 6], [2, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/259200], [[[1, 6], [2, 2], [4, 1], [5, 1], [10, 1], [18, 1]], 7/921600], [[[1, 6], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 19/460800], [[[1, 6], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/12800], [[[1, 6], [2, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/120960], [[[1, 6], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/294912], [[[1, 6], [2, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/18432000], [[[1, 6], [2, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 1/5806080], [[[1, 6], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/483840], [[[1, 6], [2, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 13/9953280], [[[1, 6], [2, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/19353600], [[[1, 6], [2, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4147200], [[[1, 6], [2, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/7741440], [[[1, 6], [2, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3317760], [[[1, 6], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/268800], [[[1, 6], [2, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/161280], [[[1, 6], [2, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 13/12902400], [[[1, 6], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 457/3870720], [[[1, 6], [2, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 6], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 7/153600], [[[1, 6], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 6], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/46080], [[[1, 6], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 19/387072], [[[1, 6], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 6], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/241920], [[[1, 6], [2, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/331776], [[[1, 6], [2, 2], [4, 2], [6, 1], [8, 1], [18, 1]], 1/552960], [[[1, 6], [2, 2], [4, 2], [6, 1], [10, 1], [18, 1]], 1/8294400], [[[1, 6], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/5160960], [[[1, 6], [2, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/737280], [[[1, 6], [2, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/11059200], [[[1, 6], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 7/552960], [[[1, 6], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/184320], [[[1, 6], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 7/1769472], [[[1, 6], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 67/2419200], [[[1, 6], [2, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/518400], [[[1, 6], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 6], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 6], [2, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/552960], [[[1, 6], [2, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/38707200], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 917/12441600], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 883/1451520], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 115/248832], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 25601/33177600], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 133/294912], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 661/11059200], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 7283/23224320], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/12960], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 743/23224320], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 53/663552], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 2267/47775744], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 157/8294400], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 5309/119439360], [[[1, 6], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 5029/9289728], [[[1, 6], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 37/322560], [[[1, 6], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 463/3870720], [[[1, 6], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 2123/6635520], [[[1, 6], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 47/1548288], [[[1, 6], [2, 4], [3, 1], [4, 1], [8, 1], [18, 1]], 17/663552], [[[1, 6], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 133/1244160], [[[1, 6], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 19/746496], [[[1, 6], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 7/276480], [[[1, 6], [2, 4], [3, 1], [4, 1], [10, 1], [18, 1]], 1/138240], [[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 10603/26542080], [[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 901/1105920], [[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 911/1843200], [[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 3361/13271040], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 10999/15482880], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 17999/59719680], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 1187/15482880], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1667/19906560], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 6559/17694720], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 419/11059200], [[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 51461/238878720], [[[1, 6], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 43/184320], [[[1, 6], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 4871/26542080], [[[1, 6], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 1/184320], [[[1, 6], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1369/3686400], [[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 5153/7962624], [[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 7949/66355200], [[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 8797/26542080], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 164753/348364800], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 851/3732480], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/80640], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [18, 1]], 1/103680], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1331/16588800], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 7681/44236800], [[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1]], 1/103680], [[[1, 6], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 4969/16588800], [[[1, 6], [2, 4], [3, 1], [5, 1], [8, 1], [12, 1]], 23/2764800], [[[1, 6], [2, 4], [3, 1], [5, 1], [10, 1], [12, 1]], 29/1474560], [[[1, 6], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 307/967680], [[[1, 6], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 17/403200], [[[1, 6], [2, 4], [3, 1], [6, 1], [7, 1], [12, 1]], 19/1451520], [[[1, 6], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 157/1866240], [[[1, 6], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 23/1161216], [[[1, 6], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 13/497664], [[[1, 6], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 7/311040], [[[1, 6], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 359/23224320], [[[1, 6], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 43/2488320], [[[1, 6], [2, 4], [3, 1], [6, 1], [12, 1], [14, 1]], 1/387072], [[[1, 6], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/51840], [[[1, 6], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1]], 1/147456], [[[1, 6], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1]], 19/3317760], [[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 6803/6635520], [[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 6653/19906560], [[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1453/3686400], [[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 809/4976640], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 52937/69672960], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 21169/29859840], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 1823/46448640], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 29/497664], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 58319/79626240], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 6983/33177600], [[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 4523/19906560], [[[1, 6], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 23/276480], [[[1, 6], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 947/13271040], [[[1, 6], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1]], 7/414720], [[[1, 6], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 31009/39813120], [[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 159077/159252480], [[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 5707/26542080], [[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 4397/8847360], [[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 83/207360], [[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 203029/398131200], [[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [12, 1]], 347/4976640], [[[1, 6], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 65/1327104], [[[1, 6], [2, 4], [3, 2], [6, 1], [8, 1], [12, 1]], 133/9953280], [[[1, 6], [2, 4], [3, 2], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 707/1382400], [[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 76393/143327232], [[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 659/5971968], [[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 111947/358318080], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1331/4838400], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1]], 23/1036800], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 13/1935360], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 13/829440], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 23/414720], [[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 497/11059200], [[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1999/3686400], [[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 6], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 11/307200], [[[1, 6], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 19/110592], [[[1, 6], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 1/30240], [[[1, 6], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/72576], [[[1, 6], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1]], 5/331776], [[[1, 6], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 283/15482880], [[[1, 6], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 853/19906560], [[[1, 6], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 29/2419200], [[[1, 6], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 1/55296], [[[1, 6], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 89/23224320], [[[1, 6], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/497664], [[[1, 6], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 463/33177600], [[[1, 6], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 5/442368], [[[1, 6], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 13/5529600], [[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 383/1105920], [[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 881/3686400], [[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 223/6635520], [[[1, 6], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 389/5529600], [[[1, 6], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1757/26542080], [[[1, 6], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 733/66355200], [[[1, 6], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 193/1843200], [[[1, 6], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1]], 43/4423680], [[[1, 6], [2, 4], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 258743/663552000], [[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 14909/66355200], [[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 2227/5529600], [[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 9389/331776000], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 11981/58060800], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 13571/99532800], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 11981/58060800], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 13571/99532800], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 37763/63700992], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 80021/199065600], [[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 16681/132710400], [[[1, 6], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 823/3317760], [[[1, 6], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 293/17694720], [[[1, 6], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 349/33177600], [[[1, 6], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 42061/66355200], [[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 12329/9953280], [[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 42061/66355200], [[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 580883/2388787200], [[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 2411/16588800], [[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 3503/9953280], [[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1]], 7/1658880], [[[1, 6], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 2411/16588800], [[[1, 6], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1]], 1/2211840], [[[1, 6], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1]], 7/1658880], [[[1, 6], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 80021/199065600], [[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 37763/63700992], [[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 258743/663552000], [[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 16681/132710400], [[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 823/3317760], [[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 2227/5529600], [[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 349/33177600], [[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 14909/66355200], [[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 293/17694720], [[[1, 6], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 9389/331776000], [[[1, 6], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 5149/73728000], [[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 1507789/6688604160], [[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 5425603/16721510400], [[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 67063/4777574400], [[[1, 6], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 19/483840], [[[1, 6], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/207360], [[[1, 6], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/3870720], [[[1, 6], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/645120], [[[1, 6], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/1658880], [[[1, 6], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 6], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/276480], [[[1, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/165888], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/184320], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [12, 2]], 1/7257600], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]], 41/22118400], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 121/1382400], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 7/864000], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 817/33177600], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 5/912384], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [22, 1]], 1/6082560], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2]], 1/13271040], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 3], [7, 1]], 1/11612160], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 3], [18, 1]], 1/14929920], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1]], 1/716636160], [[[1, 7], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 13/215040], [[[1, 7], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 211/4838400], [[[1, 7], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 7/259200], [[[1, 7], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 7/614400], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/442368], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1]], 1/5806080], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/6635520], [[[1, 7], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 73/3870720], [[[1, 7], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 1/967680], [[[1, 7], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 11/829440], [[[1, 7], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2]], 53/696729600], [[[1, 7], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/73728], [[[1, 7], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1]], 1/1382400], [[[1, 7], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 193/116121600], [[[1, 7], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/322560], [[[1, 7], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 1/497664], [[[1, 7], [2, 1], [3, 1], [4, 3], [6, 2], [8, 1]], 1/21233664], [[[1, 7], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/3538944], [[[1, 7], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/4423680], [[[1, 7], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1]], 43/12902400], [[[1, 7], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1]], 1/87091200], [[[1, 7], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 23/276480], [[[1, 7], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/60480], [[[1, 7], [2, 1], [3, 1], [5, 1], [7, 1], [12, 1]], 43/2150400], [[[1, 7], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 19/414720], [[[1, 7], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 1/414720], [[[1, 7], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 7/1036800], [[[1, 7], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1]], 1/136080], [[[1, 7], [2, 1], [3, 1], [6, 2], [7, 1], [8, 1]], 1/7741440], [[[1, 7], [2, 1], [3, 1], [7, 1], [8, 1], [12, 1]], 1/1290240], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3]], 1/4976640], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 2321/11612160], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 47/414720], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 49/2073600], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 1/92897280], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1]], 37/15482880], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1]], 1/1327104], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 2], [18, 1]], 1/9953280], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1]], 1/19906560], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 67/61931520], [[[1, 7], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 61/1935360], [[[1, 7], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 11/3628800], [[[1, 7], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 193/9953280], [[[1, 7], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 17/829440], [[[1, 7], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 133/55987200], [[[1, 7], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 2279/268738560], [[[1, 7], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2]], 1/2764800], [[[1, 7], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 37/1658880], [[[1, 7], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 17/3317760], [[[1, 7], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 1/460800], [[[1, 7], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 221/11612160], [[[1, 7], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 49/4976640], [[[1, 7], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6635520], [[[1, 7], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 23/6635520], [[[1, 7], [2, 1], [3, 2], [4, 2], [8, 1], [12, 1]], 1/1105920], [[[1, 7], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/414720], [[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 643/106168320], [[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 67/11943936], [[[1, 7], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 31/138240], [[[1, 7], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 77/622080], [[[1, 7], [2, 1], [3, 2], [5, 1], [6, 2], [8, 1]], 1/3317760], [[[1, 7], [2, 1], [3, 2], [5, 1], [6, 2], [10, 1]], 1/3317760], [[[1, 7], [2, 1], [3, 2], [5, 1], [8, 1], [12, 1]], 1/552960], [[[1, 7], [2, 1], [3, 2], [5, 1], [10, 1], [12, 1]], 1/552960], [[[1, 7], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 11/4354560], [[[1, 7], [2, 1], [3, 2], [6, 1], [7, 1], [12, 1]], 1/181440], [[[1, 7], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 133/67184640], [[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2]], 5/1327104], [[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1213/24883200], [[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 2941/653184000], [[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 94403/3135283200], [[[1, 7], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 2201/104509440], [[[1, 7], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 97/6718464], [[[1, 7], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1]], 1/995328], [[[1, 7], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1]], 1/37324800], [[[1, 7], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 2921/716636160], [[[1, 7], [2, 1], [3, 3], [4, 1], [8, 1], [12, 1]], 1/165888], [[[1, 7], [2, 1], [3, 3], [4, 1], [10, 1], [12, 1]], 1/6220800], [[[1, 7], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 83/4976640], [[[1, 7], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 7/4478976], [[[1, 7], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/1658880], [[[1, 7], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 2941/783820800], [[[1, 7], [2, 1], [3, 3], [5, 1], [6, 1], [12, 1]], 17/829440], [[[1, 7], [2, 1], [3, 3], [6, 1], [8, 1], [12, 1]], 1/7464960], [[[1, 7], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 349/44789760], [[[1, 7], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 601/179159040], [[[1, 7], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 643/185794560], [[[1, 7], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/199065600], [[[1, 7], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 187/3225600], [[[1, 7], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 31/10368000], [[[1, 7], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 31/6220800], [[[1, 7], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/115200], [[[1, 7], [2, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/9072000], [[[1, 7], [2, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/5443200], [[[1, 7], [2, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/2764800], [[[1, 7], [2, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/1451520], [[[1, 7], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/552960], [[[1, 7], [2, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/5898240], [[[1, 7], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 31/12441600], [[[1, 7], [2, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/10886400], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 389/174182400], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 8623/11612160], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 10553/24883200], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1679/2764800], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 431/6635520], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1536000], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 12367/139345920], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 91/7464960], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 17/11612160], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 67/14929920], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 413/119439360], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 17/49766400], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1141/358318080], [[[1, 7], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 41/114688], [[[1, 7], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 61/1612800], [[[1, 7], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 1391/23224320], [[[1, 7], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 2797/19906560], [[[1, 7], [2, 3], [3, 1], [4, 1], [8, 1], [18, 1]], 1/331776], [[[1, 7], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 43/2073600], [[[1, 7], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 1/138240], [[[1, 7], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1382400], [[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 4259/44236800], [[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1217/2654208], [[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 2759/18432000], [[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 1447/13271040], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1991/6635520], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 121/1327104], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/344064], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 43/6635520], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 889/21233664], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 41/33177600], [[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 3703/238878720], [[[1, 7], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 131/5529600], [[[1, 7], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 379/10616832], [[[1, 7], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 1/2764800], [[[1, 7], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 82811/696729600], [[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1571/13271040], [[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 47/11059200], [[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 127/2654208], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 50611/116121600], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 109/921600], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 1663/116121600], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 28811/1990656000], [[[1, 7], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1]], 1/2073600], [[[1, 7], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 209/2764800], [[[1, 7], [2, 3], [3, 1], [5, 1], [8, 1], [12, 1]], 221/58060800], [[[1, 7], [2, 3], [3, 1], [5, 1], [10, 1], [12, 1]], 179/36864000], [[[1, 7], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 1481/11612160], [[[1, 7], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 7], [2, 3], [3, 1], [6, 1], [7, 1], [12, 1]], 1/362880], [[[1, 7], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 5/331776], [[[1, 7], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/774144], [[[1, 7], [2, 3], [3, 1], [6, 1], [8, 1], [18, 1]], 1/995328], [[[1, 7], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 1/1555200], [[[1, 7], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1]], 11/38707200], [[[1, 7], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 1/24883200], [[[1, 7], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1658880], [[[1, 7], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1]], 1/1327104], [[[1, 7], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1]], 1/33177600], [[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 61861/149299200], [[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 323/829440], [[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 607/3456000], [[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 271/1990656], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 19363/34836480], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 9331/26873856], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 67/15482880], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [18, 1]], 1/165888], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1031/11943936], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 2269/149299200], [[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 2207/69672960], [[[1, 7], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/103680], [[[1, 7], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 109/3317760], [[[1, 7], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1]], 1/460800], [[[1, 7], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 41287/99532800], [[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 5635/21233664], [[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1433/44236800], [[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 7831/79626240], [[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 7057/24883200], [[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 64669/398131200], [[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [12, 1]], 1343/33177600], [[[1, 7], [2, 3], [3, 2], [6, 1], [8, 1], [12, 1]], 7/2211840], [[[1, 7], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 7], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1728833/3135283200], [[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 95401/358318080], [[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 901/55987200], [[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 125981/1074954240], [[[1, 7], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 2453/17418240], [[[1, 7], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 109/21772800], [[[1, 7], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 7/1382400], [[[1, 7], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/518400], [[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 709/9216000], [[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/230400], [[[1, 7], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 41/12441600], [[[1, 7], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 17/387072], [[[1, 7], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/302400], [[[1, 7], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/725760], [[[1, 7], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 7/4976640], [[[1, 7], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 13/15482880], [[[1, 7], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 11/3981312], [[[1, 7], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2764800], [[[1, 7], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 11/24883200], [[[1, 7], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/7741440], [[[1, 7], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1658880], [[[1, 7], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/16588800], [[[1, 7], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 107/1105920], [[[1, 7], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1321/55296000], [[[1, 7], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/345600], [[[1, 7], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 49/22118400], [[[1, 7], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 7/1966080], [[[1, 7], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/7372800], [[[1, 7], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 221/24883200], [[[1, 7], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 31/22118400], [[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 51707/165888000], [[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 27239/66355200], [[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 649/1658880], [[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 46793/870912000], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 349/870912], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 9311/59719680], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 523/14515200], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 2077/59719680], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 46951/212336640], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 607/8847360], [[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 901/22394880], [[[1, 7], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 19/184320], [[[1, 7], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 583/35389440], [[[1, 7], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1]], 13/4423680], [[[1, 7], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 7247/8847360], [[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 677/829440], [[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 5027/26542080], [[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 155527/1194393600], [[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 14561/77414400], [[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 27707/124416000], [[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1]], 1/230400], [[[1, 7], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 223/6635520], [[[1, 7], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1]], 1/4423680], [[[1, 7], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 7], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 990359/1194393600], [[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 127253/191102976], [[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 7309/39813120], [[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 84443/716636160], [[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 35/221184], [[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 7507/49766400], [[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 413/66355200], [[[1, 7], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 809/22118400], [[[1, 7], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 259/53084160], [[[1, 7], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 71/33177600], [[[1, 7], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 526721/2322432000], [[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 259763/796262400], [[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 526721/2322432000], [[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 353453/14332723200], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3]], 23/348364800], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 787/2419200], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 583/4147200], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1667/11059200], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 251/119439360], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/55296000], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 109/15482880], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/23224320], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/9953280], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1]], 1/557383680], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/39813120], [[[1, 8], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 941/15482880], [[[1, 8], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 229/87091200], [[[1, 8], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 437/41803776], [[[1, 8], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 43/2211840], [[[1, 8], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 23/52254720], [[[1, 8], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 23/31352832], [[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 5753/2786918400], [[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 1/12288], [[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 6803/497664000], [[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 50489/4180377600], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 193/6635520], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 107/11943936], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/15482880], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [18, 1]], 1/6635520], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 235/222953472], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 1/30965760], [[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 247/334430208], [[[1, 8], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 31/49766400], [[[1, 8], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 4247/1672151040], [[[1, 8], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1]], 1/77414400], [[[1, 8], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 55367/4180377600], [[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 5/884736], [[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1]], 1/16588800], [[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 133/79626240], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 181627/1463132160], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 23/1161216], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1387/2090188800], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 3079/4644864000], [[[1, 8], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1]], 1/43545600], [[[1, 8], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/221184], [[[1, 8], [2, 2], [3, 1], [5, 1], [8, 1], [12, 1]], 23/38707200], [[[1, 8], [2, 2], [3, 1], [5, 1], [10, 1], [12, 1]], 31/86016000], [[[1, 8], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 587/52254720], [[[1, 8], [2, 2], [3, 1], [6, 1], [7, 1], [12, 1]], 1/5806080], [[[1, 8], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 89/156764160], [[[1, 8], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1]], 1/116121600], [[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 3119/99532800], [[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 4537/33177600], [[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 10373/387072000], [[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 4217/116121600], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 2573/23224320], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 14171/268738560], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 127/39813120], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 113/696729600], [[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 143/139345920], [[[1, 8], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/4147200], [[[1, 8], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 49/9953280], [[[1, 8], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1]], 1/14515200], [[[1, 8], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 39449/696729600], [[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1057/53084160], [[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1]], 1/6220800], [[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 251/47775744], [[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 19/403200], [[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1841/132710400], [[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [12, 1]], 59/7741440], [[[1, 8], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1]], 29/139345920], [[[1, 8], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 257419/1567641600], [[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 43643/1672151040], [[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 289/223948800], [[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 91937/7524679680], [[[1, 8], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 2453/87091200], [[[1, 8], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 23/43545600], [[[1, 8], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/14515200], [[[1, 8], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/11059200], [[[1, 8], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 2839/1161216000], [[[1, 8], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/4838400], [[[1, 8], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/24883200], [[[1, 8], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 199/69672960], [[[1, 8], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/69672960], [[[1, 8], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 13/1382400], [[[1, 8], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/12096000], [[[1, 8], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/7257600], [[[1, 8], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/8847360], [[[1, 8], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/49766400], [[[1, 8], [2, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 839581/8360755200], [[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 19991/59719680], [[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 2309/13824000], [[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 9881/278691840], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 3329/13063680], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 73111/1254113280], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 1/580608], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 11/3981312], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 10219/334430208], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 287/99532800], [[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 19/5308416], [[[1, 8], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 77/5529600], [[[1, 8], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 533/92897280], [[[1, 8], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1]], 7/16588800], [[[1, 8], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 112849/261273600], [[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 29321/139345920], [[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 11833/696729600], [[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 38783/1672151040], [[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 25387/261273600], [[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 68011/1306368000], [[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1]], 29/21772800], [[[1, 8], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 17/8294400], [[[1, 8], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1]], 1/19906560], [[[1, 8], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 62773/87091200], [[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 536701/1911029760], [[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 26647/928972800], [[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 62507/1672151040], [[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 5507/116121600], [[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 443/20736000], [[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1036800], [[[1, 8], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 143/132710400], [[[1, 8], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 7/11796480], [[[1, 8], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 8], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 5425603/16721510400], [[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1507789/6688604160], [[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 5149/73728000], [[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 67063/4777574400], [[[1, 8], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/116121600], [[[1, 8], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/19353600], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3]], 1/348364800], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 6679/174182400], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 5/331776], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 41/8294400], [[[1, 9], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1]], 1/18063360], [[[1, 9], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 53/15482880], [[[1, 9], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 13/87091200], [[[1, 9], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 85/146313216], [[[1, 9], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 223/418037760], [[[1, 9], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/87091200], [[[1, 9], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/52254720], [[[1, 9], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2]], 1/103219200], [[[1, 9], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 983/278691840], [[[1, 9], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 19/49766400], [[[1, 9], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 1/17203200], [[[1, 9], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/1327104], [[[1, 9], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1]], 1/59719680], [[[1, 9], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1]], 1/743178240], [[[1, 9], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 1/123863040], [[[1, 9], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 37/116121600], [[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/10616832], [[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 197/3344302080], [[[1, 9], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1327/162570240], [[[1, 9], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1]], 89/174182400], [[[1, 9], [2, 1], [3, 1], [5, 1], [6, 2], [8, 1]], 1/232243200], [[[1, 9], [2, 1], [3, 1], [5, 1], [6, 2], [10, 1]], 1/928972800], [[[1, 9], [2, 1], [3, 1], [5, 1], [8, 1], [12, 1]], 1/38707200], [[[1, 9], [2, 1], [3, 1], [5, 1], [10, 1], [12, 1]], 1/154828800], [[[1, 9], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 13/104509440], [[[1, 9], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/104509440], [[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2]], 1/3317760], [[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 757/58060800], [[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 691/1306368000], [[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 4217/1567641600], [[[1, 9], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 23/8709120], [[[1, 9], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 55/47029248], [[[1, 9], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1]], 11/278691840], [[[1, 9], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1]], 1/3135283200], [[[1, 9], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 193/7524679680], [[[1, 9], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1]], 11/46448640], [[[1, 9], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1]], 1/522547200], [[[1, 9], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1487/418037760], [[[1, 9], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 7/59719680], [[[1, 9], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/79626240], [[[1, 9], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 691/1567641600], [[[1, 9], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1]], 89/232243200], [[[1, 9], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1]], 1/627056640], [[[1, 9], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 12601/3135283200], [[[1, 9], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 289/358318080], [[[1, 9], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 107/501645312], [[[1, 9], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 641/304819200], [[[1, 9], [2, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/43545600], [[[1, 9], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/66355200], [[[1, 9], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/16588800], [[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 32279/2508226560], [[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 2519/22118400], [[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 683/23224320], [[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 19361/2090188800], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 10417/182891520], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 9647/1254113280], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/23224320], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 1/19906560], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 635/573308928], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 13/557383680], [[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1189/10032906240], [[[1, 9], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 253/348364800], [[[1, 9], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 11/13762560], [[[1, 9], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 1/51609600], [[[1, 9], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 684247/8360755200], [[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 11741/557383680], [[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 299/557383680], [[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 2347/1672151040], [[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 7667/418037760], [[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 2077/522547200], [[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1]], 1/6451200], [[[1, 9], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1]], 1/185794560], [[[1, 9], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 54359/223948800], [[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 3265789/80263249920], [[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 1/979776], [[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 10183/2149908480], [[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 467/87091200], [[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 61/64512000], [[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/21772800], [[[1, 9], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/70778880], [[[1, 9], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 2856127/12541132800], [[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 378439/5016453120], [[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 7571/836075520], [[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 17305/5350883328], [[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1019/1672151040], [[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 21047/1393459200], [[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 137/82944000], [[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 1327/1393459200], [[[1, 10], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 353/81285120], [[[1, 10], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 391/1254113280], [[[1, 10], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 167/20065812480], [[[1, 10], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1]], 1/20901888000], [[[1, 10], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 1/12541132800], [[[1, 10], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/348364800], [[[1, 10], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 151/3344302080], [[[1, 10], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1]], 1/3483648000], [[[1, 10], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 2533/597196800], [[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 241/418037760], [[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 1/522547200], [[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 577/20065812480], [[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 13/12902400], [[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 43/696729600], [[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1]], 1/174182400], [[[1, 10], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1]], 1/4180377600], [[[1, 10], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 39971/1567641600], [[[1, 10], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 2497/1254113280], [[[1, 10], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 13/391910400], [[[1, 10], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 3211/15049359360], [[[1, 10], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 29/261273600], [[[1, 10], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/87091200], [[[1, 10], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 598291/8360755200], [[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 13073/1146617856], [[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 77521/167215104000], [[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 10301/28665446400], [[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2]], 1/348364800], [[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 989/1393459200], [[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 43/5225472000], [[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 97/3135283200], [[[1, 11], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 121/1463132160], [[[1, 11], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/209018880], [[[1, 11], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1]], 19/133772083200], [[[1, 11], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1]], 1/1379524608000], [[[1, 11], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1]], 1/827714764800], [[[1, 11], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 19/22295347200], [[[1, 11], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1]], 1/229920768000], [[[1, 11], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 137/2090188800], [[[1, 11], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/716636160], [[[1, 11], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 43/6270566400], [[[1, 11], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1]], 1/275904921600], [[[1, 11], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 989/3135283200], [[[1, 11], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 13/627056640], [[[1, 11], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 17/10032906240], [[[1, 11], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 116947/12541132800], [[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 68879/100329062400], [[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 109/12773376000], [[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1319/66886041600], [[[1, 12], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 43247/100329062400], [[[1, 12], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 3679/315319910400], [[[1, 12], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/8622028800], [[[1, 12], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 17/37838389248], [[[1, 13], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/223948800], [[[1, 13], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/13795246080], [[[1, 13], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/294298583040], [[[2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 1/2592], [[[2, 2], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 1/82944], [[[2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [22, 1]], 1/50688], [[[2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1/6912], [[[2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/124416], [[[2, 2], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/41472], [[[2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/5760], [[[2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [14, 1]], 1/483840], [[[2, 2], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 1/34560], [[[2, 2], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/373248], [[[2, 2], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/311040], [[[2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/8448], [[[2, 2], [4, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/1451520], [[[2, 2], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/20736], [[[2, 2], [4, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/20160], [[[2, 2], [4, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/60480], [[[2, 2], [4, 2], [6, 2], [10, 1], [12, 1], [14, 1]], 1/80640], [[[2, 4], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/20736], [[[2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/55296], [[[2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/193536], [[[2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/248832], [[[2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/414720], [[[2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 17/331776], [[[2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/3870720], [[[2, 4], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[2, 4], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2985984], [[[2, 4], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/76800], [[[2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/24192], [[[2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/241920], [[[2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/12960], [[[2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/32256], [[[2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/41472], [[[2, 4], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/69120], [[[2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/645120], [[[2, 6], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/1658880], [[[2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/3870720], [[[2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1658880], [[[2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/165888], [[[2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/483840], [[[2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/207360], [[[2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/645120], [[[2, 6], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/276480], [[[2, 8], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/116121600], [[[2, 8], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/19353600], [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 2]], 1/10080], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [11, 1]], 1/31680], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 2], [11, 1], [12, 1]], 1/19008], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2], [14, 1]], 1/2016], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1], [14, 1]], 1/108864], [[[1, 1], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1], [12, 1]], 1/5280], [[[1, 1], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/9216], [[[1, 1], [2, 1], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/497664], [[[1, 1], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 1], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 1], [3, 1], [5, 1], [6, 3], [7, 1], [8, 1]], 1/120960], [[[1, 1], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1], [12, 1]], 1/6336], [[[1, 1], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [22, 1]], 1/6336], [[[1, 1], [2, 1], [3, 1], [6, 3], [8, 1], [10, 1], [14, 1]], 1/1088640], [[[1, 1], [2, 1], [3, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/15552], [[[1, 1], [2, 1], [3, 1], [8, 1], [10, 1], [14, 1], [18, 1]], 1/15120], [[[1, 1], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [22, 1]], 1/31680], [[[1, 1], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [18, 1]], 1/77760], [[[1, 1], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 2]], 1/2016], [[[1, 1], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/19008], [[[1, 1], [2, 1], [3, 2], [4, 1], [6, 3], [7, 1], [12, 1]], 1/12096], [[[1, 1], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/46656], [[[1, 1], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/9216], [[[1, 1], [2, 1], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/55296], [[[1, 1], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 1/20736], [[[1, 1], [2, 1], [3, 2], [4, 3], [6, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/907200], [[[1, 1], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/544320], [[[1, 1], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 1/77760], [[[1, 1], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/46656], [[[1, 1], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096], [[[1, 1], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/12960], [[[1, 1], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 1], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/1088640], [[[1, 1], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 1/15552], [[[1, 1], [2, 1], [3, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/108864], [[[1, 1], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/497664], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1], [22, 1]], 1/5280], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1], [14, 1]], 1/907200], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/12960], [[[1, 1], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/12600], [[[1, 1], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1], [12, 1]], 1/7560], [[[1, 1], [2, 1], [4, 1], [5, 1], [10, 1], [14, 1], [18, 1]], 1/12600], [[[1, 1], [2, 1], [4, 1], [6, 1], [10, 1], [12, 2], [14, 1]], 1/10080], [[[1, 1], [2, 1], [4, 1], [6, 3], [10, 1], [12, 1], [14, 1]], 1/544320], [[[1, 1], [2, 1], [4, 1], [10, 1], [12, 1], [14, 1], [18, 1]], 1/7560], [[[1, 1], [2, 1], [4, 3], [6, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/15120], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/483840], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/5760], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/8448], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/15840], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/6912], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/25344], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/4608], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/11520], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/4536], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/15552], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/15552], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/4354560], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/18144], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 5/62208], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/1244160], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/82944], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/622080], [[[1, 1], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/60480], [[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/2880], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 7/124416], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/10368], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/51840], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 13/82944], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/23040], [[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/967680], [[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1105920], [[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/184320], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/6144], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/165888], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/4608], [[[1, 1], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 1], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 1], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/36864], [[[1, 1], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 17/967680], [[[1, 1], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/69120], [[[1, 1], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/161280], [[[1, 1], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/57600], [[[1, 1], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/18144], [[[1, 1], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2520], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/181440], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/9720], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/24192], [[[1, 1], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/31104], [[[1, 1], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/3360], [[[1, 1], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/51840], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/11520], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/155520], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/259200], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/69120], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/9216], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/5760], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/172800], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/6048], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/21504], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/25920], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/5184], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/34560], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/72576], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/93312], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6144], [[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 11/311040], [[[1, 1], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/276480], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/129024], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/645120], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 1], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/322560], [[[1, 1], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4354560], [[[1, 1], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/311040], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/38880], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 11/186624], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/483840], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/20736], [[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/622080], [[[1, 1], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/622080], [[[1, 1], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/497664], [[[1, 1], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/311040], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/60480], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/48000], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/151200], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/8100], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/25920], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/43200], [[[1, 1], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 1], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1], [12, 1]], 1/4320], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/76800], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2688], [[[1, 1], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/4320], [[[1, 1], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/3584], [[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 1], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 67/362880], [[[1, 1], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/4860], [[[1, 1], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 1], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/107520], [[[1, 1], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 3], [5, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 1], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/3360], [[[1, 1], [2, 3], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/53760], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/28800], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 23/5529600], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/276480], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/6451200], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/15360], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/36864], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/9216], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/8064], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/124416], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/62208], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 61/725760], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/15552], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 11/290304], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/82944], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 7/207360], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/13824], [[[1, 1], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/23040], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/27648], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 7/248832], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/82944], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 5/129024], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 7/414720], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/10368], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/552960], [[[1, 1], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/552960], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/36864], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/221184], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 7/184320], [[[1, 1], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/483840], [[[1, 1], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 17/552960], [[[1, 1], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 1], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/362880], [[[1, 1], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/155520], [[[1, 1], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/483840], [[[1, 1], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/207360], [[[1, 1], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1036800], [[[1, 1], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/248832], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 121/7741440], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1451520], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/18432], [[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 37/622080], [[[1, 1], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2211840], [[[1, 1], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 1], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2488320], [[[1, 1], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/165888], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/34560], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 19/302400], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/129600], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/403200], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/172800], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 31/80640], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/34560], [[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 1], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 461/2322432], [[[1, 1], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 7/77760], [[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 1], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/368640], [[[1, 1], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/19353600], [[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 161/22118400], [[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/3686400], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/645120], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2488320], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/9953280], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/414720], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 19/622080], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/17418240], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/69672960], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/829440], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3317760], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/103680], [[[1, 1], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1843200], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/1658880], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 59/19906560], [[[1, 1], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 1], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/14515200], [[[1, 1], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/72576000], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/921600], [[[1, 1], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/43545600], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/12096000], [[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/153600], [[[1, 1], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 59/139345920], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/19906560], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/57600], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/241920], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/9720], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/777600], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/51840], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/5760], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/288000], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/48000], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/25344], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/25344], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 1/10368], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 1/10368], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/5280], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 5/12672], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 5/12672], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/18432], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/3456], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/96768], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/870912], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/62208], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/2177280], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/6048], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 19/93312], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/1866240], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/995328], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/186624], [[[1, 2], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 2], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/9072], [[[1, 2], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 2], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/30240], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/2880], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/143360], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/51840], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 3/71680], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 13/172800], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/12960], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/3072], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2880], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/80640], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 25/48384], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/20736], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/241920], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 13/31104], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 2], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1], [12, 1]], 1/13440], [[[1, 2], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 1/5184], [[[1, 2], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/322560], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1105920], [[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/184320], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/27648], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/322560], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/27648], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 5/27648], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 13/276480], [[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/30720], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/22680], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/17920], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/16800], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/60480], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [9, 1]], 1/12960], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/62208], [[[1, 2], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/26880], [[[1, 2], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/2800], [[[1, 2], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/57600], [[[1, 2], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/18144], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/22680], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/60480], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/12960], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/24192], [[[1, 2], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/30240], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/3456], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/51840], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/207360], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/86400], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/20736], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/50400], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/30240], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/6480], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/18432], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/172800], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/120960], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 37/72576], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 11/124416], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 11/124416], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/51840], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 13/31104], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 37/72576], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 13/31104], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 43/995328], [[[1, 2], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 2], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/5184], [[[1, 2], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/8640], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/80640], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 13/691200], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/103680], [[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 13/230400], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 13/31104], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/143360], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 25/48384], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/69120], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 11/41472], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/103680], [[[1, 2], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 13/276480], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 5/27648], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/60480], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/30240], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/12960], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/17280], [[[1, 2], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/24192], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/10368], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 2], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/12960], [[[1, 2], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/60480], [[[1, 2], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2177280], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/86400], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/829440], [[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/311040], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/870912], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/6048], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/62208], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/9720], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 19/93312], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/241920], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/207360], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 43/995328], [[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/20736], [[[1, 2], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/62208], [[[1, 2], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1866240], [[[1, 2], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/777600], [[[1, 2], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/186624], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/995328], [[[1, 2], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/30240], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/5760], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/48000], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/20160], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/8640], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/50400], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/8640], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/829440], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/311040], [[[1, 2], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/11200], [[[1, 2], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/6720], [[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/11200], [[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 2], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1], [12, 1]], 1/4320], [[[1, 2], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1], [18, 1]], 1/4320], [[[1, 2], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600], [[[1, 2], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 2], [2, 2], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/5184], [[[1, 2], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/30240], [[[1, 2], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/6480], [[[1, 2], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/6720], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/10080], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 13/172800], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/13440], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/11520], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 13/230400], [[[1, 2], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/5184], [[[1, 2], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 3/71680], [[[1, 2], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/12960], [[[1, 2], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/184320], [[[1, 2], [2, 2], [5, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 2], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/2800], [[[1, 2], [2, 2], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 7/28800], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 41/1935360], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/15552], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 203/3110400], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/12960], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/207360], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/34560], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/144000], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 83/691200], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/72576], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/46080], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 11/55296], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 23/46080], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 17/24192], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 17/774144], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 43/145152], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 53/124416], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/10368], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 131/725760], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 53/155520], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 17/32256], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 73/373248], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 139/3732480], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 65/165888], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 109/311040], [[[1, 2], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/129024], [[[1, 2], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 23/161280], [[[1, 2], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/51840], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/71680], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/103680], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/25920], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/184320], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 631/11059200], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 47/207360], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 7/92160], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/30720], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 3/40960], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 23/193536], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/3024], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/17280], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 35/165888], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 53/276480], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/41472], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 55/193536], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 91/995328], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 11/184320], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 91/165888], [[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/10240], [[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 13/345600], [[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 3/20480], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 5/55296], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/73728], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 113/552960], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/8400], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/241920], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 229/1658880], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 7/34560], [[[1, 2], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 7/92160], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 281/483840], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 23/103680], [[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/241920], [[[1, 2], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 7/138240], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/51840], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/241920], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 17/1658880], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 59/691200], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 77/207360], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/276480], [[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/60480], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 11/290304], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/124416], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 31/387072], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/31104], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 17/124416], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 229/645120], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/145152], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 121/829440], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 229/497664], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 131/207360], [[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 11/442368], [[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 11/414720], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 5/55296], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 35/331776], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 11/41472], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 19/552960], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240], [[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/207360], [[[1, 2], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/414720], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 19/497664], [[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/17280], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/11520], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/7200], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/17280], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/40320], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 13/86400], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 191/1036800], [[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/17920], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 23/64512], [[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 97/193536], [[[1, 2], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/2592], [[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 23/138240], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/51200], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 43/204800], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 11/46080], [[[1, 2], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/19353600], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4147200], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/403200], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/1555200], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7199/66355200], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 31/2073600], [[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/1228800], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/387072], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/165888], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 89/829440], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 7/92160], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/331776], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 8641/11612160], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 611/2488320], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/69120], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5/2985984], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 887/2488320], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/122880], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 2077/9953280], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/2764800], [[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1109/49766400], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 13/69120], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 3/40960], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 311/3317760], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/414720], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 2], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/691200], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/829440], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1057/110592000], [[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/1843200], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 23/1658880], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 541/29859840], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 61/691200], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 3913/165888000], [[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 19/276480], [[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1021/174182400], [[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11059200], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 45217/1045094400], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 19/55738368], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1189/418037760], [[[1, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/161280], [[[1, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/26880], [[[1, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/4320], [[[1, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/5184], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/5760], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/483840], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/38880], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/311040], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/4320], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/460800], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/288000], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/172800], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/76800], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/48000], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/8448], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/25344], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/6912], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/9216], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/11520], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/4354560], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 11/186624], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/497664], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/622080], [[[1, 3], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2688], [[[1, 3], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 3], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/9072], [[[1, 3], [2, 1], [3, 1], [4, 1], [10, 1], [14, 1], [18, 1]], 1/60480], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/645120], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/107520], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/34560], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2880], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1], [8, 1]], 1/129024], [[[1, 3], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/165888], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/967680], [[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/6144], [[[1, 3], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/36864], [[[1, 3], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/2520], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/322560], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/622080], [[[1, 3], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1], [12, 1]], 1/53760], [[[1, 3], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/3360], [[[1, 3], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 3], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/57600], [[[1, 3], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/18144], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/11520], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/34560], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/138240], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/23040], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/80640], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/151200], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 67/362880], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/8100], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/4860], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/4536], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/4608], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/21504], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/120960], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/72576], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/82944], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/155520], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/93312], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/6048], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/5184], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/20736], [[[1, 3], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/3584], [[[1, 3], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/20160], [[[1, 3], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 3], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/25920], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/51840], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/276480], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 1/276480], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 7/124416], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1/10368], [[[1, 3], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/4608], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/55296], [[[1, 3], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/181440], [[[1, 3], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/3360], [[[1, 3], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/9720], [[[1, 3], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/24192], [[[1, 3], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/31104], [[[1, 3], [2, 1], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 17/967680], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4354560], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/259200], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 11/311040], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/829440], [[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/18144], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/15552], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 5/62208], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/483840], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/15552], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6144], [[[1, 3], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 3], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/69120], [[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 13/82944], [[[1, 3], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/51840], [[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1244160], [[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/622080], [[[1, 3], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944], [[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/60480], [[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/5760], [[[1, 3], [2, 1], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/311040], [[[1, 3], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 3], [2, 1], [4, 1], [5, 1], [10, 1], [12, 1], [18, 1]], 1/4320], [[[1, 3], [2, 1], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600], [[[1, 3], [2, 1], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/23040], [[[1, 3], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360], [[[1, 3], [2, 1], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/184320], [[[1, 3], [2, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/161280], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 31/144000], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 283/3870720], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/19440], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/15120], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/3240], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 13/138240], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 137/2073600], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 7/51840], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/11200], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 139/645120], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/11520], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/28800], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 7/25920], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 19/50400], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/25600], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 31/144000], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 353/691200], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 19/72576], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/25600], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 5/18432], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 353/691200], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 19/72576], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 7/55296], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/53760], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 19/96768], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 11/62208], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 11/96768], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 31/124416], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/62208], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 7/103680], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/7776], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 23/41472], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1944], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 13/1244160], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 23/165888], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 113/622080], [[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 17/64512], [[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/8960], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/3456], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3456], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/5376], [[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/30240], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 29/645120], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 7/82944], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/8064], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/5760], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/55296], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1733/11059200], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 37/69120], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 61/230400], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3072], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 581/1843200], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 13/64512], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/8064], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 59/96768], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 7/27648], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 13/64512], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 7/27648], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/5760], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 13/27648], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 29/645120], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 7/82944], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 59/96768], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 13/27648], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/55296], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 103/110592], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 211/552960], [[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 17/184320], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 19/153600], [[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 37/110592], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 17/184320], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 65/110592], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 37/110592], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 3/17920], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 23/50400], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/40320], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/5184], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 13/32400], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 23/50400], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 13/32400], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 47/331776], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 19/57600], [[[1, 3], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/10240], [[[1, 3], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 3/17920], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5184], [[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 3], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 3], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 7/103680], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/7776], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/53760], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 5/55296], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/115200], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 61/69120], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/9216], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 269/1036800], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 11/96768], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 23/41472], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 31/124416], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 7/55296], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 11/62208], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/3240], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1944], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 283/3870720], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/19440], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 19/96768], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/62208], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 5/55296], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 11/9216], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 61/69120], [[[1, 3], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/55296], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1733/11059200], [[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 211/552960], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/55296], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 103/110592], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 37/69120], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 47/331776], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 19/57600], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 13/1244160], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 137/2073600], [[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 113/622080], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/138240], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 23/165888], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 7/51840], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/5376], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 19/50400], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/30240], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/3456], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/11520], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/11200], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/28800], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/8960], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/9216], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/11520], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 269/1036800], [[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/1920], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 17/64512], [[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3456], [[[1, 3], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 139/645120], [[[1, 3], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 7/25920], [[[1, 3], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 61/230400], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 581/1843200], [[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3072], [[[1, 3], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/10240], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 19/387072], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 11/155520], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 37/403200], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 19/311040], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/55296], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 3391/6635520], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 61/414720], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/92160], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 53/368640], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 31/387072], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 5/129024], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 67/497664], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 169/193536], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 13/31104], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 7/103680], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 23/663552], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 15359/11612160], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 353/622080], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 121/967680], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1309/29859840], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1229/1658880], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 19/41472], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1933/2488320], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 41/276480], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/13824], [[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 949/2764800], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 403/552960], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 257/442368], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 779/1105920], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 469/829440], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/36864], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 3983/13271040], [[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 109/829440], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4096], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 193/1105920], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 13/69120], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 151/230400], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 8129/33177600], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 19/92160], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 161/11059200], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 6371/36288000], [[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 373/99532800], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 15233/33177600], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/2488320], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 3193/77414400], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/46080], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/144000], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 229/645120], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/60480], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/25920], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/414720], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/207360], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/17280], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/17920], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/7200], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 97/193536], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4320], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 7/17280], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/2592], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/11520], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/9600], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 7/28800], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 23/46080], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 17/24192], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 11/55296], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 83/691200], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 31/387072], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/241920], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/145152], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/31104], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/124416], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/241920], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 11/290304], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 17/124416], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 19/497664], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/34560], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 23/64512], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/10368], [[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/32256], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 53/276480], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/41472], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 5/55296], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 11/442368], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 11/41472], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 7/51200], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 11/46080], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 43/204800], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/3024], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 55/193536], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 91/995328], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 23/193536], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 35/165888], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/552960], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 35/331776], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 11/414720], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 5/55296], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 13/345600], [[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 113/552960], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/73728], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 3/20480], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 281/483840], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/241920], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 23/103680], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/4320], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/8400], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/12960], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/552960], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 4], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 4], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 4], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/103680], [[[1, 4], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/241920], [[[1, 4], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 131/725760], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 53/155520], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 121/829440], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 59/691200], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 131/207360], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 13/86400], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 23/138240], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 191/1036800], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 43/145152], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 17/32256], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 53/124416], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 17/774144], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/15552], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 73/373248], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 41/1935360], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/10368], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 17/1658880], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 229/497664], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 77/207360], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/184320], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 631/11059200], [[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 91/165888], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/184320], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 47/207360], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 229/1658880], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/138240], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 7/34560], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 139/3732480], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 203/3110400], [[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 109/311040], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 65/165888], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/12960], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 23/161280], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/51840], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/34560], [[[1, 4], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/207360], [[[1, 4], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/129024], [[[1, 4], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 4], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/92160], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/10240], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 3/40960], [[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 4], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/92160], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1007/1935360], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 151/414720], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5376], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 5/20736], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 347/663552], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 8837/11059200], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 7/20736], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 167/230400], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 79/552960], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 2191/5529600], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 17/27648], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5376], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/4608], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 61/124416], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 17/27648], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 61/124416], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 5/20736], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 65/497664], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1007/1935360], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 151/414720], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/4608], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 65/497664], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 211/829440], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 541/995328], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1001/1658880], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 113/138240], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1433/1382400], [[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 523/552960], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 113/138240], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 23/18432], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 523/552960], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 437/345600], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/69120], [[[1, 4], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 211/829440], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 8837/11059200], [[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1001/1658880], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 347/663552], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 541/995328], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 7/20736], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 167/230400], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 2191/5529600], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 79/552960], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 703/3317760], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4451/4608000], [[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1973/33177600], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 397/331776], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13649/119439360], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 673/3686400], [[[1, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/41472], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 121/7741440], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/2488320], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 31/80640], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 19/302400], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 461/2322432], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/34560], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 7/129600], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 7/77760], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/34560], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/15360], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/9216], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/8064], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/36864], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/129024], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/2419200], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/1451520], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/248832], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/165888], [[[1, 5], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 5], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/403200], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 5/129024], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/414720], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/552960], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/368640], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/27648], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 7/248832], [[[1, 5], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/82944], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/36864], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/552960], [[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 7/184320], [[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 11/221184], [[[1, 5], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 19/362880], [[[1, 5], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 7/155520], [[[1, 5], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/483840], [[[1, 5], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/483840], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 61/725760], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/15552], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1036800], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 37/622080], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/138240], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/172800], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 11/290304], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/124416], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/82944], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 23/5529600], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/62208], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/18432], [[[1, 5], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 7/414720], [[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/552960], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/10368], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/23040], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 17/552960], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/207360], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 7/207360], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/276480], [[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/13824], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944], [[[1, 5], [2, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/6451200], [[[1, 5], [2, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 15359/11612160], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 353/622080], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 7/103680], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4096], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 3983/13271040], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 13/69120], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 151/230400], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 19/92160], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 8129/33177600], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 169/193536], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 37/403200], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 121/967680], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 13/31104], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 31/387072], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 67/497664], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 19/311040], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1309/29859840], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 19/387072], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 11/155520], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 5/129024], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 23/663552], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/36864], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 193/1105920], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 109/829440], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 403/552960], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/13824], [[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 779/1105920], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 41/276480], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 257/442368], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 949/2764800], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 469/829440], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1229/1658880], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 3391/6635520], [[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1933/2488320], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/55296], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 19/41472], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 61/414720], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/92160], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/30720], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 53/368640], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 2167/2211840], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5561/3317760], [[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1337/6635520], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 2167/2211840], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 17/69120], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1337/6635520], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 8641/11612160], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 611/2488320], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 23/1658880], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1057/110592000], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2073600], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 61/691200], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 19/276480], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 3913/165888000], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 89/829440], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/69120], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 7/92160], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/387072], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/165888], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/1555200], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5/2985984], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/19353600], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/4147200], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/331776], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/829440], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 541/29859840], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/1843200], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/69120], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/2764800], [[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 311/3317760], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 3/40960], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1109/49766400], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/414720], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/691200], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 887/2488320], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7199/66355200], [[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 2077/9953280], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/122880], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 31/2073600], [[[1, 6], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/1228800], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 397/331776], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4451/4608000], [[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 673/3686400], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 703/3317760], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13649/119439360], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1973/33177600], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/414720], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 19/622080], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/921600], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/72576000], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/43545600], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/276480], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/153600], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/12096000], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/645120], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/17418240], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/2488320], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/69672960], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/19353600], [[[1, 7], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/9953280], [[[1, 7], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/1658880], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 59/19906560], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1843200], [[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/14515200], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/829440], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 161/22118400], [[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/103680], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3317760], [[[1, 7], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3686400], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 15233/33177600], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 6371/36288000], [[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 3193/77414400], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 161/11059200], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/2488320], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 373/99532800], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 45217/1045094400], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1021/174182400], [[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1189/418037760], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 19/55738368], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11059200], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 59/139345920], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11059200], [[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/19906560], [[[2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/5184], [[[2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/4320], [[[2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/26880], [[[2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/41472], [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/100800], [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/60480], [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/16800], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/1512], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/1512], [[[1, 1], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 1], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 1], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/20160], [[[1, 1], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 1], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/100800], [[[1, 1], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/60480], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/16800], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/50400], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 11/241920], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/8640], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/5760], [[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/6912], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/4320], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 7/11520], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2560], [[[1, 1], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 1], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/46080], [[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/138240], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 29/40320], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/25920], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/2592], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/5760], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 17/172800], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 13/16128], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/25920], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 13/16128], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/13824], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 29/40320], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/2592], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2400], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560], [[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/172800], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 13/46080], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 91/172800], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/27648], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 7/11520], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/8640], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/50400], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/4320], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 11/241920], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/2560], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/28800], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/46080], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 103/115200], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 31/46080], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 13/27648], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 91/172800], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/46080], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/138240], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080] ]}