{[ [[[1, 23]], 1/92177326080000], [[[2, 23]], 1/92177326080000], [[[1, 1], [2, 22]], 73/92177326080000], [[[1, 2], [2, 21]], 761/30725775360000], [[[1, 3], [2, 20]], 13/29859840000], [[[1, 4], [2, 19]], 139/29262643200], [[[1, 5], [2, 18]], 1637/48771072000], [[[1, 5], [7, 3]], 1/246960], [[[1, 6], [2, 17]], 31/199065600], [[[1, 7], [2, 16]], 73/154828800], [[[1, 7], [5, 4]], 1/30000], [[[1, 8], [2, 15]], 169/185794560], [[[1, 9], [2, 14]], 17/15925248], [[[1, 9], [3, 7]], 29/1837080], [[[1, 10], [2, 13]], 11/15925248], [[[1, 11], [2, 12]], 1/5308416], [[[1, 11], [3, 6]], 641/146966400], [[[1, 11], [5, 3]], 1/630000], [[[1, 11], [7, 2]], 1/59270400], [[[1, 12], [2, 11]], 1/5308416], [[[1, 13], [2, 10]], 11/15925248], [[[1, 13], [3, 5]], 11/9797760], [[[1, 14], [2, 9]], 17/15925248], [[[1, 15], [2, 8]], 169/185794560], [[[1, 15], [3, 4]], 173/1175731200], [[[1, 15], [5, 2]], 11/1270080000], [[[1, 16], [2, 7]], 73/154828800], [[[1, 17], [2, 6]], 31/199065600], [[[1, 17], [3, 3]], 551/65840947200], [[[1, 17], [7, 1]], 1/42674688000], [[[1, 18], [2, 5]], 1637/48771072000], [[[1, 19], [2, 4]], 139/29262643200], [[[1, 19], [3, 2]], 47/219469824000], [[[1, 19], [5, 1]], 1/60011280000], [[[1, 20], [2, 3]], 13/29859840000], [[[1, 21], [2, 2]], 761/30725775360000], [[[1, 21], [3, 1]], 23/9217732608000], [[[1, 22], [2, 1]], 73/92177326080000], [[[2, 5], [14, 3]], 1/246960], [[[2, 7], [10, 4]], 1/30000], [[[2, 9], [6, 7]], 29/1837080], [[[2, 11], [6, 6]], 641/146966400], [[[2, 11], [10, 3]], 1/630000], [[[2, 11], [14, 2]], 1/59270400], [[[2, 13], [6, 5]], 11/9797760], [[[2, 15], [6, 4]], 173/1175731200], [[[2, 15], [10, 2]], 11/1270080000], [[[2, 17], [6, 3]], 551/65840947200], [[[2, 17], [14, 1]], 1/42674688000], [[[2, 19], [6, 2]], 47/219469824000], [[[2, 19], [10, 1]], 1/60011280000], [[[2, 21], [6, 1]], 23/9217732608000], [[[1, 1], [2, 4], [14, 3]], 1/24696], [[[1, 1], [2, 6], [10, 4]], 1/10000], [[[1, 1], [2, 8], [6, 7]], 29/1837080], [[[1, 1], [2, 10], [6, 6]], 967/29393280], [[[1, 1], [2, 10], [10, 3]], 19/840000], [[[1, 1], [2, 10], [14, 2]], 31/59270400], [[[1, 1], [2, 12], [6, 5]], 611/39191040], [[[1, 1], [2, 14], [6, 4]], 7501/2351462400], [[[1, 1], [2, 14], [10, 2]], 23/79380000], [[[1, 1], [2, 16], [6, 3]], 2203/8230118400], [[[1, 1], [2, 16], [14, 1]], 13/10668672000], [[[1, 1], [2, 18], [6, 2]], 2099/219469824000], [[[1, 1], [2, 18], [10, 1]], 1/1128960000], [[[1, 1], [2, 20], [4, 1]], 11/1536288768000], [[[1, 1], [2, 20], [6, 1]], 673/4608866304000], [[[1, 1], [5, 1], [7, 3]], 1/10290], [[[1, 2], [2, 3], [14, 3]], 1/16464], [[[1, 2], [2, 5], [10, 4]], 1/10000], [[[1, 2], [2, 9], [6, 6]], 431/9797760], [[[1, 2], [2, 9], [10, 3]], 121/1260000], [[[1, 2], [2, 9], [14, 2]], 11/1975680], [[[1, 2], [2, 11], [6, 5]], 1/14580], [[[1, 2], [2, 13], [6, 4]], 19/746496], [[[1, 2], [2, 13], [10, 2]], 71/20160000], [[[1, 2], [2, 15], [6, 3]], 163/48988800], [[[1, 2], [2, 15], [14, 1]], 181/7112448000], [[[1, 2], [2, 17], [4, 2]], 1/609638400], [[[1, 2], [2, 17], [6, 2]], 1573/9144576000], [[[1, 2], [2, 17], [10, 1]], 97/5080320000], [[[1, 2], [2, 19], [4, 1]], 29/73156608000], [[[1, 2], [2, 19], [6, 1]], 521/146313216000], [[[1, 3], [2, 2], [7, 3]], 1/16464], [[[1, 3], [2, 4], [10, 4]], 1/30000], [[[1, 3], [2, 8], [6, 6]], 1/93312], [[[1, 3], [2, 8], [10, 3]], 31/180000], [[[1, 3], [2, 8], [14, 2]], 1/40320], [[[1, 3], [2, 10], [6, 5]], 19/186624], [[[1, 3], [2, 12], [6, 4]], 4771/52254720], [[[1, 3], [2, 12], [10, 2]], 67/3360000], [[[1, 3], [2, 14], [4, 3]], 1/6967296], [[[1, 3], [2, 14], [6, 3]], 299/14515200], [[[1, 3], [2, 14], [14, 1]], 1/3628800], [[[1, 3], [2, 16], [4, 2]], 19/304819200], [[[1, 3], [2, 16], [6, 2]], 5933/3657830400], [[[1, 3], [2, 16], [10, 1]], 1651/7620480000], [[[1, 3], [2, 18], [4, 1]], 11/1219276800], [[[1, 3], [2, 18], [6, 1]], 173/3657830400], [[[1, 3], [3, 1], [7, 3]], 1/12348], [[[1, 3], [5, 2], [7, 2]], 1/4900], [[[1, 4], [2, 1], [7, 3]], 1/24696], [[[1, 4], [2, 3], [5, 4]], 1/30000], [[[1, 4], [2, 7], [10, 3]], 1/7200], [[[1, 4], [2, 7], [14, 2]], 5/112896], [[[1, 4], [2, 9], [6, 5]], 5/93312], [[[1, 4], [2, 11], [4, 4]], 1/331776], [[[1, 4], [2, 11], [6, 4]], 109/746496], [[[1, 4], [2, 11], [10, 2]], 137/2419200], [[[1, 4], [2, 13], [4, 3]], 107/34836480], [[[1, 4], [2, 13], [6, 3]], 1405/20901888], [[[1, 4], [2, 13], [14, 1]], 17/10160640], [[[1, 4], [2, 15], [4, 2]], 53/58060800], [[[1, 4], [2, 15], [6, 2]], 1823/209018880], [[[1, 4], [2, 15], [10, 1]], 41/29030400], [[[1, 4], [2, 17], [4, 1]], 671/6096384000], [[[1, 4], [2, 17], [6, 1]], 5501/14631321600], [[[1, 5], [2, 2], [5, 4]], 1/10000], [[[1, 5], [2, 6], [10, 3]], 1/24000], [[[1, 5], [2, 6], [14, 2]], 1/37632], [[[1, 5], [2, 8], [6, 5]], 1/124416], [[[1, 5], [2, 10], [4, 4]], 1/36864], [[[1, 5], [2, 10], [6, 4]], 17/165888], [[[1, 5], [2, 10], [10, 2]], 1/12000], [[[1, 5], [2, 12], [4, 3]], 137/5806080], [[[1, 5], [2, 12], [6, 3]], 989/8709120], [[[1, 5], [2, 12], [14, 1]], 13/2257920], [[[1, 5], [2, 14], [4, 2]], 389/58060800], [[[1, 5], [2, 14], [6, 2]], 9479/348364800], [[[1, 5], [2, 14], [10, 1]], 263/48384000], [[[1, 5], [2, 16], [4, 1]], 11/13934592], [[[1, 5], [2, 16], [6, 1]], 43/23224320], [[[1, 5], [3, 3], [7, 2]], 1/10584], [[[1, 5], [3, 3], [9, 2]], 1/324], [[[1, 5], [5, 3], [7, 1]], 1/7000], [[[1, 5], [7, 1], [21, 1]], 1/2520], [[[1, 6], [2, 1], [5, 4]], 1/10000], [[[1, 6], [2, 5], [5, 3]], 1/24000], [[[1, 6], [2, 5], [7, 2]], 1/37632], [[[1, 6], [2, 9], [4, 4]], 1/12288], [[[1, 6], [2, 9], [6, 4]], 7/248832], [[[1, 6], [2, 9], [10, 2]], 7/115200], [[[1, 6], [2, 11], [4, 3]], 23/276480], [[[1, 6], [2, 11], [6, 3]], 119/1244160], [[[1, 6], [2, 11], [14, 1]], 1/92160], [[[1, 6], [2, 13], [4, 2]], 31/1161216], [[[1, 6], [2, 13], [6, 2]], 1/20736], [[[1, 6], [2, 13], [10, 1]], 17/1382400], [[[1, 6], [2, 15], [4, 1]], 19/5529600], [[[1, 6], [2, 15], [6, 1]], 563/99532800], [[[1, 7], [2, 4], [5, 3]], 1/7200], [[[1, 7], [2, 4], [7, 2]], 5/112896], [[[1, 7], [2, 8], [4, 4]], 1/12288], [[[1, 7], [2, 8], [6, 4]], 1/497664], [[[1, 7], [2, 8], [10, 2]], 1/57600], [[[1, 7], [2, 10], [4, 3]], 5/36864], [[[1, 7], [2, 10], [6, 3]], 1/27648], [[[1, 7], [2, 10], [14, 1]], 1/96768], [[[1, 7], [2, 12], [4, 2]], 1/17280], [[[1, 7], [2, 12], [6, 2]], 77/1658880], [[[1, 7], [2, 12], [10, 1]], 11/691200], [[[1, 7], [2, 14], [4, 1]], 1/110592], [[[1, 7], [2, 14], [6, 1]], 73/6967296], [[[1, 7], [3, 2], [5, 3]], 1/18000], [[[1, 7], [3, 2], [7, 2]], 1/35280], [[[1, 7], [3, 2], [9, 2]], 1/6480], [[[1, 7], [3, 4], [5, 2]], 1/32400], [[[1, 7], [3, 5], [7, 1]], 1/27216], [[[1, 7], [3, 5], [9, 1]], 1/1296], [[[1, 7], [3, 6], [5, 1]], 29/1530900], [[[1, 7], [5, 1], [7, 2]], 11/1234800], [[[1, 8], [2, 1], [3, 7]], 29/1837080], [[[1, 8], [2, 3], [3, 6]], 1/93312], [[[1, 8], [2, 3], [5, 3]], 31/180000], [[[1, 8], [2, 3], [7, 2]], 1/40320], [[[1, 8], [2, 5], [3, 5]], 1/124416], [[[1, 8], [2, 7], [3, 4]], 1/497664], [[[1, 8], [2, 7], [4, 4]], 1/12288], [[[1, 8], [2, 7], [5, 2]], 1/57600], [[[1, 8], [2, 9], [4, 3]], 1/12288], [[[1, 8], [2, 9], [6, 3]], 1/221184], [[[1, 8], [2, 9], [14, 1]], 1/258048], [[[1, 8], [2, 11], [4, 2]], 7/110592], [[[1, 8], [2, 11], [6, 2]], 29/1327104], [[[1, 8], [2, 11], [10, 1]], 1/92160], [[[1, 8], [2, 13], [4, 1]], 23/1658880], [[[1, 8], [2, 13], [6, 1]], 149/13271040], [[[1, 9], [2, 2], [3, 6]], 431/9797760], [[[1, 9], [2, 2], [5, 3]], 121/1260000], [[[1, 9], [2, 2], [7, 2]], 11/1975680], [[[1, 9], [2, 4], [3, 5]], 5/93312], [[[1, 9], [2, 6], [3, 4]], 7/248832], [[[1, 9], [2, 6], [4, 4]], 1/12288], [[[1, 9], [2, 6], [5, 2]], 7/115200], [[[1, 9], [2, 8], [3, 3]], 1/221184], [[[1, 9], [2, 8], [4, 3]], 1/12288], [[[1, 9], [2, 8], [7, 1]], 1/258048], [[[1, 9], [2, 10], [4, 2]], 1/36864], [[[1, 9], [2, 10], [6, 2]], 5/1327104], [[[1, 9], [2, 10], [10, 1]], 1/331776], [[[1, 9], [2, 12], [4, 1]], 5/442368], [[[1, 9], [2, 12], [6, 1]], 25/3981312], [[[1, 9], [3, 1], [5, 3]], 1/24000], [[[1, 9], [3, 1], [7, 2]], 1/658560], [[[1, 9], [3, 3], [5, 2]], 1/16200], [[[1, 9], [3, 4], [7, 1]], 11/544320], [[[1, 9], [3, 4], [9, 1]], 1/25920], [[[1, 9], [3, 5], [5, 1]], 7/233280], [[[1, 9], [5, 2], [7, 1]], 23/3528000], [[[1, 10], [2, 1], [3, 6]], 967/29393280], [[[1, 10], [2, 1], [5, 3]], 19/840000], [[[1, 10], [2, 1], [7, 2]], 31/59270400], [[[1, 10], [2, 3], [3, 5]], 19/186624], [[[1, 10], [2, 5], [3, 4]], 17/165888], [[[1, 10], [2, 5], [4, 4]], 1/36864], [[[1, 10], [2, 5], [5, 2]], 1/12000], [[[1, 10], [2, 7], [3, 3]], 1/27648], [[[1, 10], [2, 7], [4, 3]], 5/36864], [[[1, 10], [2, 7], [7, 1]], 1/96768], [[[1, 10], [2, 9], [3, 2]], 5/1327104], [[[1, 10], [2, 9], [4, 2]], 1/36864], [[[1, 10], [2, 9], [5, 1]], 1/331776], [[[1, 10], [2, 11], [4, 1]], 5/1327104], [[[1, 10], [2, 11], [6, 1]], 11/7962624], [[[1, 11], [2, 2], [3, 5]], 1/14580], [[[1, 11], [2, 4], [3, 4]], 109/746496], [[[1, 11], [2, 4], [4, 4]], 1/331776], [[[1, 11], [2, 4], [5, 2]], 137/2419200], [[[1, 11], [2, 6], [3, 3]], 119/1244160], [[[1, 11], [2, 6], [4, 3]], 23/276480], [[[1, 11], [2, 6], [7, 1]], 1/92160], [[[1, 11], [2, 8], [3, 2]], 29/1327104], [[[1, 11], [2, 8], [4, 2]], 7/110592], [[[1, 11], [2, 8], [5, 1]], 1/92160], [[[1, 11], [2, 10], [3, 1]], 11/7962624], [[[1, 11], [2, 10], [4, 1]], 5/1327104], [[[1, 11], [3, 2], [5, 2]], 97/6048000], [[[1, 11], [3, 3], [7, 1]], 53/15240960], [[[1, 11], [3, 4], [5, 1]], 499/32659200], [[[1, 12], [2, 1], [3, 5]], 611/39191040], [[[1, 12], [2, 3], [3, 4]], 4771/52254720], [[[1, 12], [2, 3], [5, 2]], 67/3360000], [[[1, 12], [2, 5], [3, 3]], 989/8709120], [[[1, 12], [2, 5], [4, 3]], 137/5806080], [[[1, 12], [2, 5], [7, 1]], 13/2257920], [[[1, 12], [2, 7], [3, 2]], 77/1658880], [[[1, 12], [2, 7], [4, 2]], 1/17280], [[[1, 12], [2, 7], [5, 1]], 11/691200], [[[1, 12], [2, 9], [3, 1]], 25/3981312], [[[1, 12], [2, 9], [4, 1]], 5/442368], [[[1, 13], [2, 2], [3, 4]], 19/746496], [[[1, 13], [2, 2], [5, 2]], 71/20160000], [[[1, 13], [2, 4], [3, 3]], 1405/20901888], [[[1, 13], [2, 4], [4, 3]], 107/34836480], [[[1, 13], [2, 4], [7, 1]], 17/10160640], [[[1, 13], [2, 6], [3, 2]], 1/20736], [[[1, 13], [2, 6], [4, 2]], 31/1161216], [[[1, 13], [2, 6], [5, 1]], 17/1382400], [[[1, 13], [2, 8], [3, 1]], 149/13271040], [[[1, 13], [2, 8], [4, 1]], 23/1658880], [[[1, 13], [3, 1], [5, 2]], 29/36288000], [[[1, 13], [3, 2], [7, 1]], 59/304819200], [[[1, 13], [3, 3], [5, 1]], 143/55987200], [[[1, 13], [5, 1], [7, 1]], 43/1778112000], [[[1, 14], [2, 1], [3, 4]], 7501/2351462400], [[[1, 14], [2, 1], [5, 2]], 23/79380000], [[[1, 14], [2, 3], [3, 3]], 299/14515200], [[[1, 14], [2, 3], [4, 3]], 1/6967296], [[[1, 14], [2, 3], [7, 1]], 1/3628800], [[[1, 14], [2, 5], [3, 2]], 9479/348364800], [[[1, 14], [2, 5], [4, 2]], 389/58060800], [[[1, 14], [2, 5], [5, 1]], 263/48384000], [[[1, 14], [2, 7], [3, 1]], 73/6967296], [[[1, 14], [2, 7], [4, 1]], 1/110592], [[[1, 15], [2, 2], [3, 3]], 163/48988800], [[[1, 15], [2, 2], [7, 1]], 181/7112448000], [[[1, 15], [2, 4], [3, 2]], 1823/209018880], [[[1, 15], [2, 4], [4, 2]], 53/58060800], [[[1, 15], [2, 4], [5, 1]], 41/29030400], [[[1, 15], [2, 6], [3, 1]], 563/99532800], [[[1, 15], [2, 6], [4, 1]], 19/5529600], [[[1, 15], [3, 1], [7, 1]], 1/266716800], [[[1, 15], [3, 2], [5, 1]], 319/2286144000], [[[1, 16], [2, 1], [3, 3]], 2203/8230118400], [[[1, 16], [2, 1], [7, 1]], 13/10668672000], [[[1, 16], [2, 3], [3, 2]], 5933/3657830400], [[[1, 16], [2, 3], [4, 2]], 19/304819200], [[[1, 16], [2, 3], [5, 1]], 1651/7620480000], [[[1, 16], [2, 5], [3, 1]], 43/23224320], [[[1, 16], [2, 5], [4, 1]], 11/13934592], [[[1, 17], [2, 2], [3, 2]], 1573/9144576000], [[[1, 17], [2, 2], [4, 2]], 1/609638400], [[[1, 17], [2, 2], [5, 1]], 97/5080320000], [[[1, 17], [2, 4], [3, 1]], 5501/14631321600], [[[1, 17], [2, 4], [4, 1]], 671/6096384000], [[[1, 17], [3, 1], [5, 1]], 1/373248000], [[[1, 18], [2, 1], [3, 2]], 2099/219469824000], [[[1, 18], [2, 1], [5, 1]], 1/1128960000], [[[1, 18], [2, 3], [3, 1]], 173/3657830400], [[[1, 18], [2, 3], [4, 1]], 11/1219276800], [[[1, 19], [2, 2], [3, 1]], 521/146313216000], [[[1, 19], [2, 2], [4, 1]], 29/73156608000], [[[1, 20], [2, 1], [3, 1]], 673/4608866304000], [[[1, 20], [2, 1], [4, 1]], 11/1536288768000], [[[2, 1], [10, 1], [14, 3]], 1/10290], [[[2, 3], [6, 1], [14, 3]], 1/12348], [[[2, 3], [10, 2], [14, 2]], 1/4900], [[[2, 5], [6, 3], [14, 2]], 1/10584], [[[2, 5], [6, 3], [18, 2]], 1/324], [[[2, 5], [10, 3], [14, 1]], 1/7000], [[[2, 5], [14, 1], [42, 1]], 1/2520], [[[2, 7], [6, 2], [10, 3]], 1/18000], [[[2, 7], [6, 2], [14, 2]], 1/35280], [[[2, 7], [6, 2], [18, 2]], 1/6480], [[[2, 7], [6, 4], [10, 2]], 1/32400], [[[2, 7], [6, 5], [14, 1]], 1/27216], [[[2, 7], [6, 5], [18, 1]], 1/1296], [[[2, 7], [6, 6], [10, 1]], 29/1530900], [[[2, 7], [10, 1], [14, 2]], 11/1234800], [[[2, 9], [6, 1], [10, 3]], 1/24000], [[[2, 9], [6, 1], [14, 2]], 1/658560], [[[2, 9], [6, 3], [10, 2]], 1/16200], [[[2, 9], [6, 4], [14, 1]], 11/544320], [[[2, 9], [6, 4], [18, 1]], 1/25920], [[[2, 9], [6, 5], [10, 1]], 7/233280], [[[2, 9], [10, 2], [14, 1]], 23/3528000], [[[2, 11], [6, 2], [10, 2]], 97/6048000], [[[2, 11], [6, 3], [14, 1]], 53/15240960], [[[2, 11], [6, 4], [10, 1]], 499/32659200], [[[2, 13], [6, 1], [10, 2]], 29/36288000], [[[2, 13], [6, 2], [14, 1]], 59/304819200], [[[2, 13], [6, 3], [10, 1]], 143/55987200], [[[2, 13], [10, 1], [14, 1]], 43/1778112000], [[[2, 15], [6, 1], [14, 1]], 1/266716800], [[[2, 15], [6, 2], [10, 1]], 319/2286144000], [[[2, 17], [6, 1], [10, 1]], 1/373248000], [[[1, 1], [2, 2], [4, 1], [14, 3]], 1/8232], [[[1, 1], [2, 2], [6, 1], [14, 3]], 1/12348], [[[1, 1], [2, 2], [10, 2], [14, 2]], 1/4900], [[[1, 1], [2, 4], [6, 3], [14, 2]], 1/10584], [[[1, 1], [2, 4], [6, 3], [18, 2]], 1/324], [[[1, 1], [2, 4], [10, 3], [14, 1]], 1/3500], [[[1, 1], [2, 4], [14, 1], [42, 1]], 1/252], [[[1, 1], [2, 6], [6, 2], [10, 3]], 1/9000], [[[1, 1], [2, 6], [6, 2], [14, 2]], 1/4704], [[[1, 1], [2, 6], [6, 2], [18, 2]], 1/648], [[[1, 1], [2, 6], [6, 4], [10, 2]], 1/32400], [[[1, 1], [2, 6], [6, 5], [14, 1]], 1/27216], [[[1, 1], [2, 6], [6, 5], [18, 1]], 1/1296], [[[1, 1], [2, 6], [10, 1], [14, 2]], 1/9800], [[[1, 1], [2, 8], [3, 1], [6, 6]], 1/3645], [[[1, 1], [2, 8], [4, 1], [6, 6]], 221/4898880], [[[1, 1], [2, 8], [4, 1], [10, 3]], 1/12000], [[[1, 1], [2, 8], [4, 1], [14, 2]], 1/246960], [[[1, 1], [2, 8], [6, 1], [10, 3]], 1/4500], [[[1, 1], [2, 8], [6, 1], [14, 2]], 13/493920], [[[1, 1], [2, 8], [6, 3], [10, 2]], 1/4050], [[[1, 1], [2, 8], [6, 4], [14, 1]], 1/6804], [[[1, 1], [2, 8], [6, 4], [18, 1]], 1/2592], [[[1, 1], [2, 8], [6, 5], [10, 1]], 1/12960], [[[1, 1], [2, 8], [10, 2], [14, 1]], 37/441000], [[[1, 1], [2, 10], [3, 1], [6, 5]], 41/1166400], [[[1, 1], [2, 10], [4, 1], [6, 5]], 13/466560], [[[1, 1], [2, 10], [6, 2], [10, 2]], 979/6048000], [[[1, 1], [2, 10], [6, 3], [14, 1]], 767/15240960], [[[1, 1], [2, 10], [6, 4], [10, 1]], 17/129600], [[[1, 1], [2, 12], [3, 1], [6, 4]], 53/13063680], [[[1, 1], [2, 12], [4, 1], [6, 4]], 61/6531840], [[[1, 1], [2, 12], [4, 1], [10, 2]], 13/6048000], [[[1, 1], [2, 12], [6, 1], [10, 2]], 289/18144000], [[[1, 1], [2, 12], [6, 2], [14, 1]], 727/152409600], [[[1, 1], [2, 12], [6, 3], [10, 1]], 97/2419200], [[[1, 1], [2, 12], [10, 1], [14, 1]], 11/14112000], [[[1, 1], [2, 14], [3, 1], [6, 3]], 59/261273600], [[[1, 1], [2, 14], [4, 1], [6, 3]], 143/111974400], [[[1, 1], [2, 14], [4, 1], [14, 1]], 1/94832640], [[[1, 1], [2, 14], [6, 1], [14, 1]], 151/1066867200], [[[1, 1], [2, 14], [6, 2], [10, 1]], 131/36288000], [[[1, 1], [2, 16], [3, 1], [6, 2]], 1/228614400], [[[1, 1], [2, 16], [4, 1], [6, 2]], 233/3657830400], [[[1, 1], [2, 16], [4, 1], [10, 1]], 23/3048192000], [[[1, 1], [2, 16], [6, 1], [10, 1]], 53/508032000], [[[1, 1], [2, 18], [3, 1], [6, 1]], 1/36578304000], [[[1, 1], [2, 18], [4, 1], [6, 1]], 43/36578304000], [[[1, 1], [5, 1], [7, 1], [21, 1]], 1/105], [[[1, 2], [2, 1], [3, 1], [7, 3]], 1/12348], [[[1, 2], [2, 1], [4, 1], [7, 3]], 1/8232], [[[1, 2], [2, 1], [5, 2], [7, 2]], 1/4900], [[[1, 2], [2, 3], [10, 3], [14, 1]], 1/7000], [[[1, 2], [2, 3], [14, 1], [42, 1]], 1/168], [[[1, 2], [2, 5], [4, 2], [14, 2]], 1/9408], [[[1, 2], [2, 5], [6, 2], [10, 3]], 1/18000], [[[1, 2], [2, 5], [6, 2], [14, 2]], 1/3528], [[[1, 2], [2, 5], [6, 2], [18, 2]], 1/432], [[[1, 2], [2, 5], [10, 1], [14, 2]], 1/3920], [[[1, 2], [2, 7], [3, 1], [6, 6]], 1/3645], [[[1, 2], [2, 7], [3, 2], [6, 5]], 5/3888], [[[1, 2], [2, 7], [4, 1], [6, 6]], 1/46656], [[[1, 2], [2, 7], [4, 1], [10, 3]], 1/3000], [[[1, 2], [2, 7], [4, 1], [14, 2]], 1/17640], [[[1, 2], [2, 7], [4, 2], [6, 5]], 1/15552], [[[1, 2], [2, 7], [6, 1], [10, 3]], 7/18000], [[[1, 2], [2, 7], [6, 1], [14, 2]], 19/141120], [[[1, 2], [2, 7], [6, 3], [10, 2]], 1/3600], [[[1, 2], [2, 7], [6, 4], [14, 1]], 1/5184], [[[1, 2], [2, 7], [6, 4], [18, 1]], 1/1728], [[[1, 2], [2, 7], [6, 5], [10, 1]], 1/25920], [[[1, 2], [2, 7], [10, 2], [14, 1]], 1/3500], [[[1, 2], [2, 9], [3, 1], [6, 5]], 67/233280], [[[1, 2], [2, 9], [3, 2], [6, 4]], 1/10368], [[[1, 2], [2, 9], [4, 1], [6, 5]], 5/31104], [[[1, 2], [2, 9], [4, 2], [6, 4]], 23/311040], [[[1, 2], [2, 9], [4, 2], [10, 2]], 1/14400], [[[1, 2], [2, 9], [6, 2], [10, 2]], 71/144000], [[[1, 2], [2, 9], [6, 3], [14, 1]], 83/362880], [[[1, 2], [2, 9], [6, 4], [10, 1]], 1/3456], [[[1, 2], [2, 11], [3, 1], [6, 4]], 767/13063680], [[[1, 2], [2, 11], [3, 2], [6, 3]], 1/483840], [[[1, 2], [2, 11], [4, 1], [6, 4]], 937/8709120], [[[1, 2], [2, 11], [4, 1], [10, 2]], 31/864000], [[[1, 2], [2, 11], [4, 2], [6, 3]], 31/1088640], [[[1, 2], [2, 11], [4, 2], [14, 1]], 1/752640], [[[1, 2], [2, 11], [6, 1], [10, 2]], 431/4032000], [[[1, 2], [2, 11], [6, 2], [14, 1]], 283/6773760], [[[1, 2], [2, 11], [6, 3], [10, 1]], 3091/14515200], [[[1, 2], [2, 11], [10, 1], [14, 1]], 251/28224000], [[[1, 2], [2, 13], [3, 1], [6, 3]], 727/130636800], [[[1, 2], [2, 13], [3, 2], [6, 2]], 1/43545600], [[[1, 2], [2, 13], [4, 1], [6, 3]], 769/32659200], [[[1, 2], [2, 13], [4, 1], [14, 1]], 37/101606400], [[[1, 2], [2, 13], [4, 2], [6, 2]], 179/43545600], [[[1, 2], [2, 13], [4, 2], [10, 1]], 1/1036800], [[[1, 2], [2, 13], [6, 1], [14, 1]], 103/50803200], [[[1, 2], [2, 13], [6, 2], [10, 1]], 1243/36288000], [[[1, 2], [2, 15], [3, 1], [6, 2]], 151/914457600], [[[1, 2], [2, 15], [4, 1], [6, 2]], 221/121927680], [[[1, 2], [2, 15], [4, 1], [10, 1]], 137/508032000], [[[1, 2], [2, 15], [4, 2], [6, 1]], 1/6096384], [[[1, 2], [2, 15], [6, 1], [10, 1]], 59/37632000], [[[1, 2], [2, 17], [3, 1], [6, 1]], 13/9144576000], [[[1, 2], [2, 17], [4, 1], [6, 1]], 37/762048000], [[[1, 3], [2, 2], [5, 3], [7, 1]], 1/7000], [[[1, 3], [2, 2], [7, 1], [21, 1]], 1/168], [[[1, 3], [2, 4], [4, 2], [14, 2]], 1/3136], [[[1, 3], [2, 4], [6, 2], [14, 2]], 1/14112], [[[1, 3], [2, 4], [10, 1], [14, 2]], 1/5880], [[[1, 3], [2, 6], [3, 2], [6, 5]], 5/3888], [[[1, 3], [2, 6], [3, 3], [6, 4]], 5/3888], [[[1, 3], [2, 6], [4, 1], [10, 3]], 1/2400], [[[1, 3], [2, 6], [4, 1], [14, 2]], 1/4704], [[[1, 3], [2, 6], [4, 2], [6, 5]], 1/31104], [[[1, 3], [2, 6], [4, 3], [6, 4]], 1/15552], [[[1, 3], [2, 6], [6, 1], [10, 3]], 1/3600], [[[1, 3], [2, 6], [6, 1], [14, 2]], 1/4704], [[[1, 3], [2, 6], [6, 3], [10, 2]], 1/10800], [[[1, 3], [2, 6], [6, 4], [14, 1]], 1/18144], [[[1, 3], [2, 6], [10, 2], [14, 1]], 1/2800], [[[1, 3], [2, 8], [3, 1], [6, 5]], 31/77760], [[[1, 3], [2, 8], [3, 2], [6, 4]], 1/1152], [[[1, 3], [2, 8], [3, 3], [6, 3]], 1/15552], [[[1, 3], [2, 8], [4, 1], [6, 5]], 5/31104], [[[1, 3], [2, 8], [4, 2], [6, 4]], 43/124416], [[[1, 3], [2, 8], [4, 2], [10, 2]], 11/28800], [[[1, 3], [2, 8], [4, 3], [6, 3]], 53/622080], [[[1, 3], [2, 8], [4, 3], [14, 1]], 1/32256], [[[1, 3], [2, 8], [6, 2], [10, 2]], 53/86400], [[[1, 3], [2, 8], [6, 3], [14, 1]], 25/72576], [[[1, 3], [2, 8], [6, 4], [10, 1]], 17/77760], [[[1, 3], [2, 10], [3, 1], [6, 4]], 83/311040], [[[1, 3], [2, 10], [3, 2], [6, 3]], 13/362880], [[[1, 3], [2, 10], [4, 1], [6, 4]], 119/311040], [[[1, 3], [2, 10], [4, 1], [10, 2]], 13/67200], [[[1, 3], [2, 10], [4, 2], [6, 3]], 583/2177280], [[[1, 3], [2, 10], [4, 2], [14, 1]], 1/42336], [[[1, 3], [2, 10], [4, 3], [6, 2]], 109/2903040], [[[1, 3], [2, 10], [4, 3], [10, 1]], 1/41472], [[[1, 3], [2, 10], [6, 1], [10, 2]], 37/120960], [[[1, 3], [2, 10], [6, 2], [14, 1]], 271/1693440], [[[1, 3], [2, 10], [6, 3], [10, 1]], 707/1555200], [[[1, 3], [2, 10], [10, 1], [14, 1]], 191/4233600], [[[1, 3], [2, 12], [3, 1], [6, 3]], 283/5806080], [[[1, 3], [2, 12], [3, 2], [6, 2]], 31/43545600], [[[1, 3], [2, 12], [4, 1], [6, 3]], 391/2488320], [[[1, 3], [2, 12], [4, 1], [14, 1]], 313/67737600], [[[1, 3], [2, 12], [4, 2], [6, 2]], 779/12441600], [[[1, 3], [2, 12], [4, 2], [10, 1]], 89/4838400], [[[1, 3], [2, 12], [4, 3], [6, 1]], 101/17418240], [[[1, 3], [2, 12], [6, 1], [14, 1]], 179/12700800], [[[1, 3], [2, 12], [6, 2], [10, 1]], 137/907200], [[[1, 3], [2, 14], [3, 1], [6, 2]], 103/43545600], [[[1, 3], [2, 14], [4, 1], [6, 2]], 3419/174182400], [[[1, 3], [2, 14], [4, 1], [10, 1]], 1/276480], [[[1, 3], [2, 14], [4, 2], [6, 1]], 89/21772800], [[[1, 3], [2, 14], [6, 1], [10, 1]], 1/85050], [[[1, 3], [2, 16], [3, 1], [6, 1]], 181/6096384000], [[[1, 3], [2, 16], [4, 1], [6, 1]], 1207/1524096000], [[[1, 3], [3, 1], [7, 1], [21, 1]], 1/126], [[[1, 3], [3, 2], [5, 1], [7, 2]], 1/8820], [[[1, 3], [3, 2], [5, 1], [9, 2]], 1/270], [[[1, 3], [3, 2], [5, 2], [15, 1]], 1/150], [[[1, 4], [2, 1], [3, 3], [7, 2]], 1/10584], [[[1, 4], [2, 1], [3, 3], [9, 2]], 1/324], [[[1, 4], [2, 1], [5, 3], [7, 1]], 1/3500], [[[1, 4], [2, 1], [7, 1], [21, 1]], 1/252], [[[1, 4], [2, 3], [3, 2], [7, 2]], 1/14112], [[[1, 4], [2, 3], [4, 2], [7, 2]], 1/3136], [[[1, 4], [2, 3], [5, 1], [7, 2]], 1/5880], [[[1, 4], [2, 5], [3, 3], [6, 4]], 5/3888], [[[1, 4], [2, 5], [4, 1], [10, 3]], 1/6000], [[[1, 4], [2, 5], [4, 1], [14, 2]], 1/4704], [[[1, 4], [2, 5], [4, 3], [6, 4]], 1/62208], [[[1, 4], [2, 5], [4, 4], [6, 3]], 1/41472], [[[1, 4], [2, 5], [6, 1], [10, 3]], 1/14400], [[[1, 4], [2, 5], [6, 1], [14, 2]], 5/56448], [[[1, 4], [2, 5], [10, 2], [14, 1]], 1/6720], [[[1, 4], [2, 7], [3, 1], [6, 5]], 1/15552], [[[1, 4], [2, 7], [3, 2], [6, 4]], 13/10368], [[[1, 4], [2, 7], [3, 3], [6, 3]], 5/7776], [[[1, 4], [2, 7], [4, 1], [6, 5]], 1/31104], [[[1, 4], [2, 7], [4, 2], [6, 4]], 5/20736], [[[1, 4], [2, 7], [4, 2], [10, 2]], 1/1600], [[[1, 4], [2, 7], [4, 3], [6, 3]], 5/15552], [[[1, 4], [2, 7], [4, 3], [14, 1]], 1/5376], [[[1, 4], [2, 7], [4, 4], [6, 2]], 1/27648], [[[1, 4], [2, 7], [6, 2], [10, 2]], 11/34560], [[[1, 4], [2, 7], [6, 3], [14, 1]], 25/145152], [[[1, 4], [2, 7], [6, 4], [10, 1]], 1/20736], [[[1, 4], [2, 9], [3, 1], [6, 4]], 25/62208], [[[1, 4], [2, 9], [3, 2], [6, 3]], 19/103680], [[[1, 4], [2, 9], [4, 1], [6, 4]], 55/124416], [[[1, 4], [2, 9], [4, 1], [10, 2]], 7/16000], [[[1, 4], [2, 9], [4, 2], [6, 3]], 157/207360], [[[1, 4], [2, 9], [4, 2], [14, 1]], 11/80640], [[[1, 4], [2, 9], [4, 3], [6, 2]], 59/207360], [[[1, 4], [2, 9], [4, 3], [10, 1]], 1/5760], [[[1, 4], [2, 9], [4, 4], [6, 1]], 1/55296], [[[1, 4], [2, 9], [6, 1], [10, 2]], 143/345600], [[[1, 4], [2, 9], [6, 2], [14, 1]], 17/64512], [[[1, 4], [2, 9], [6, 3], [10, 1]], 35/82944], [[[1, 4], [2, 9], [10, 1], [14, 1]], 17/161280], [[[1, 4], [2, 11], [3, 1], [6, 3]], 271/1451520], [[[1, 4], [2, 11], [3, 2], [6, 2]], 11/1451520], [[[1, 4], [2, 11], [4, 1], [6, 3]], 1003/2177280], [[[1, 4], [2, 11], [4, 1], [14, 1]], 31/1128960], [[[1, 4], [2, 11], [4, 2], [6, 2]], 47/138240], [[[1, 4], [2, 11], [4, 2], [10, 1]], 97/806400], [[[1, 4], [2, 11], [4, 3], [6, 1]], 61/870912], [[[1, 4], [2, 11], [6, 1], [14, 1]], 17/338688], [[[1, 4], [2, 11], [6, 2], [10, 1]], 157/483840], [[[1, 4], [2, 13], [3, 1], [6, 2]], 179/10886400], [[[1, 4], [2, 13], [4, 1], [6, 2]], 4513/43545600], [[[1, 4], [2, 13], [4, 1], [10, 1]], 61/2592000], [[[1, 4], [2, 13], [4, 2], [6, 1]], 1097/29030400], [[[1, 4], [2, 13], [6, 1], [10, 1]], 689/14515200], [[[1, 4], [2, 15], [3, 1], [6, 1]], 1/3110400], [[[1, 4], [2, 15], [4, 1], [6, 1]], 289/43545600], [[[1, 5], [2, 2], [3, 2], [5, 3]], 1/18000], [[[1, 5], [2, 2], [3, 2], [7, 2]], 1/3528], [[[1, 5], [2, 2], [3, 2], [9, 2]], 1/432], [[[1, 5], [2, 2], [4, 2], [7, 2]], 1/9408], [[[1, 5], [2, 2], [5, 1], [7, 2]], 1/3920], [[[1, 5], [2, 4], [3, 1], [5, 3]], 1/14400], [[[1, 5], [2, 4], [3, 1], [7, 2]], 5/56448], [[[1, 5], [2, 4], [3, 3], [4, 4]], 1/41472], [[[1, 5], [2, 4], [3, 4], [4, 3]], 1/62208], [[[1, 5], [2, 4], [3, 4], [6, 3]], 5/3888], [[[1, 5], [2, 4], [4, 1], [5, 3]], 1/6000], [[[1, 5], [2, 4], [4, 1], [7, 2]], 1/4704], [[[1, 5], [2, 4], [5, 2], [7, 1]], 1/6720], [[[1, 5], [2, 6], [3, 2], [6, 4]], 1/10368], [[[1, 5], [2, 6], [3, 3], [6, 3]], 5/5184], [[[1, 5], [2, 6], [4, 2], [6, 4]], 1/41472], [[[1, 5], [2, 6], [4, 2], [10, 2]], 1/3200], [[[1, 5], [2, 6], [4, 3], [6, 3]], 5/41472], [[[1, 5], [2, 6], [4, 3], [14, 1]], 1/3584], [[[1, 5], [2, 6], [4, 4], [6, 2]], 1/9216], [[[1, 5], [2, 6], [6, 2], [10, 2]], 1/19200], [[[1, 5], [2, 6], [6, 3], [14, 1]], 1/48384], [[[1, 5], [2, 8], [3, 1], [6, 4]], 25/124416], [[[1, 5], [2, 8], [3, 2], [6, 3]], 1/3456], [[[1, 5], [2, 8], [4, 1], [6, 4]], 5/31104], [[[1, 5], [2, 8], [4, 1], [10, 2]], 1/2304], [[[1, 5], [2, 8], [4, 2], [6, 3]], 13/20736], [[[1, 5], [2, 8], [4, 2], [14, 1]], 5/16128], [[[1, 5], [2, 8], [4, 3], [6, 2]], 17/27648], [[[1, 5], [2, 8], [4, 3], [10, 1]], 1/2560], [[[1, 5], [2, 8], [4, 4], [6, 1]], 1/9216], [[[1, 5], [2, 8], [6, 1], [10, 2]], 1/3840], [[[1, 5], [2, 8], [6, 2], [14, 1]], 17/96768], [[[1, 5], [2, 8], [6, 3], [10, 1]], 11/69120], [[[1, 5], [2, 8], [10, 1], [14, 1]], 1/8960], [[[1, 5], [2, 10], [3, 1], [6, 3]], 17/55296], [[[1, 5], [2, 10], [3, 2], [6, 2]], 7/207360], [[[1, 5], [2, 10], [4, 1], [6, 3]], 289/497664], [[[1, 5], [2, 10], [4, 1], [14, 1]], 31/387072], [[[1, 5], [2, 10], [4, 2], [6, 2]], 109/138240], [[[1, 5], [2, 10], [4, 2], [10, 1]], 119/345600], [[[1, 5], [2, 10], [4, 3], [6, 1]], 41/138240], [[[1, 5], [2, 10], [6, 1], [14, 1]], 43/483840], [[[1, 5], [2, 10], [6, 2], [10, 1]], 119/345600], [[[1, 5], [2, 12], [3, 1], [6, 2]], 17/290304], [[[1, 5], [2, 12], [4, 1], [6, 2]], 653/2322432], [[[1, 5], [2, 12], [4, 1], [10, 1]], 31/387072], [[[1, 5], [2, 12], [4, 2], [6, 1]], 241/1451520], [[[1, 5], [2, 12], [6, 1], [10, 1]], 101/967680], [[[1, 5], [2, 14], [3, 1], [6, 1]], 17/8709120], [[[1, 5], [2, 14], [4, 1], [6, 1]], 1081/34836480], [[[1, 5], [3, 1], [5, 1], [7, 2]], 1/5040], [[[1, 5], [3, 2], [5, 2], [7, 1]], 1/6300], [[[1, 5], [3, 3], [5, 1], [15, 1]], 1/180], [[[1, 5], [3, 4], [5, 1], [7, 1]], 1/22680], [[[1, 5], [3, 4], [5, 1], [9, 1]], 1/1080], [[[1, 6], [2, 1], [3, 2], [5, 3]], 1/9000], [[[1, 6], [2, 1], [3, 2], [7, 2]], 1/4704], [[[1, 6], [2, 1], [3, 2], [9, 2]], 1/648], [[[1, 6], [2, 1], [3, 4], [5, 2]], 1/32400], [[[1, 6], [2, 1], [3, 5], [7, 1]], 1/27216], [[[1, 6], [2, 1], [3, 5], [9, 1]], 1/1296], [[[1, 6], [2, 1], [5, 1], [7, 2]], 1/9800], [[[1, 6], [2, 3], [3, 1], [5, 3]], 1/3600], [[[1, 6], [2, 3], [3, 1], [7, 2]], 1/4704], [[[1, 6], [2, 3], [3, 3], [5, 2]], 1/10800], [[[1, 6], [2, 3], [3, 4], [4, 3]], 1/15552], [[[1, 6], [2, 3], [3, 4], [6, 3]], 5/3888], [[[1, 6], [2, 3], [3, 4], [7, 1]], 1/18144], [[[1, 6], [2, 3], [3, 5], [4, 2]], 1/31104], [[[1, 6], [2, 3], [3, 5], [6, 2]], 5/3888], [[[1, 6], [2, 3], [4, 1], [5, 3]], 1/2400], [[[1, 6], [2, 3], [4, 1], [7, 2]], 1/4704], [[[1, 6], [2, 3], [5, 2], [7, 1]], 1/2800], [[[1, 6], [2, 5], [3, 2], [4, 4]], 1/9216], [[[1, 6], [2, 5], [3, 2], [5, 2]], 1/19200], [[[1, 6], [2, 5], [3, 3], [4, 3]], 5/41472], [[[1, 6], [2, 5], [3, 3], [6, 3]], 5/5184], [[[1, 6], [2, 5], [3, 3], [7, 1]], 1/48384], [[[1, 6], [2, 5], [3, 4], [4, 2]], 1/41472], [[[1, 6], [2, 5], [3, 4], [6, 2]], 1/10368], [[[1, 6], [2, 5], [4, 2], [5, 2]], 1/3200], [[[1, 6], [2, 5], [4, 3], [7, 1]], 1/3584], [[[1, 6], [2, 7], [3, 1], [6, 4]], 1/41472], [[[1, 6], [2, 7], [3, 2], [6, 3]], 5/41472], [[[1, 6], [2, 7], [4, 1], [6, 4]], 1/82944], [[[1, 6], [2, 7], [4, 1], [10, 2]], 1/6400], [[[1, 6], [2, 7], [4, 2], [6, 3]], 5/41472], [[[1, 6], [2, 7], [4, 2], [14, 1]], 5/21504], [[[1, 6], [2, 7], [4, 3], [6, 2]], 1/3456], [[[1, 6], [2, 7], [4, 3], [10, 1]], 1/3840], [[[1, 6], [2, 7], [4, 4], [6, 1]], 1/6144], [[[1, 6], [2, 7], [6, 1], [10, 2]], 7/115200], [[[1, 6], [2, 7], [6, 2], [14, 1]], 1/27648], [[[1, 6], [2, 7], [6, 3], [10, 1]], 7/414720], [[[1, 6], [2, 7], [10, 1], [14, 1]], 1/23040], [[[1, 6], [2, 9], [3, 1], [6, 3]], 17/82944], [[[1, 6], [2, 9], [3, 2], [6, 2]], 5/82944], [[[1, 6], [2, 9], [4, 1], [6, 3]], 1/3456], [[[1, 6], [2, 9], [4, 1], [14, 1]], 1/9216], [[[1, 6], [2, 9], [4, 2], [6, 2]], 5/6912], [[[1, 6], [2, 9], [4, 2], [10, 1]], 1/2304], [[[1, 6], [2, 9], [4, 3], [6, 1]], 7/13824], [[[1, 6], [2, 9], [6, 1], [14, 1]], 1/13824], [[[1, 6], [2, 9], [6, 2], [10, 1]], 7/41472], [[[1, 6], [2, 11], [3, 1], [6, 2]], 43/414720], [[[1, 6], [2, 11], [4, 1], [6, 2]], 7/18432], [[[1, 6], [2, 11], [4, 1], [10, 1]], 11/76800], [[[1, 6], [2, 11], [4, 2], [6, 1]], 5/13824], [[[1, 6], [2, 11], [6, 1], [10, 1]], 511/4147200], [[[1, 6], [2, 13], [3, 1], [6, 1]], 13/1935360], [[[1, 6], [2, 13], [4, 1], [6, 1]], 17/207360], [[[1, 7], [2, 2], [3, 1], [5, 3]], 7/18000], [[[1, 7], [2, 2], [3, 1], [7, 2]], 19/141120], [[[1, 7], [2, 2], [3, 3], [5, 2]], 1/3600], [[[1, 7], [2, 2], [3, 4], [7, 1]], 1/5184], [[[1, 7], [2, 2], [3, 4], [9, 1]], 1/1728], [[[1, 7], [2, 2], [3, 5], [4, 2]], 1/15552], [[[1, 7], [2, 2], [3, 5], [5, 1]], 1/25920], [[[1, 7], [2, 2], [3, 5], [6, 2]], 5/3888], [[[1, 7], [2, 2], [3, 6], [4, 1]], 1/46656], [[[1, 7], [2, 2], [3, 6], [6, 1]], 1/3645], [[[1, 7], [2, 2], [4, 1], [5, 3]], 1/3000], [[[1, 7], [2, 2], [4, 1], [7, 2]], 1/17640], [[[1, 7], [2, 2], [5, 2], [7, 1]], 1/3500], [[[1, 7], [2, 4], [3, 2], [4, 4]], 1/27648], [[[1, 7], [2, 4], [3, 2], [5, 2]], 11/34560], [[[1, 7], [2, 4], [3, 3], [4, 3]], 5/15552], [[[1, 7], [2, 4], [3, 3], [6, 3]], 5/7776], [[[1, 7], [2, 4], [3, 3], [7, 1]], 25/145152], [[[1, 7], [2, 4], [3, 4], [4, 2]], 5/20736], [[[1, 7], [2, 4], [3, 4], [5, 1]], 1/20736], [[[1, 7], [2, 4], [3, 4], [6, 2]], 13/10368], [[[1, 7], [2, 4], [3, 5], [4, 1]], 1/31104], [[[1, 7], [2, 4], [3, 5], [6, 1]], 1/15552], [[[1, 7], [2, 4], [4, 2], [5, 2]], 1/1600], [[[1, 7], [2, 4], [4, 3], [7, 1]], 1/5376], [[[1, 7], [2, 6], [3, 1], [4, 4]], 1/6144], [[[1, 7], [2, 6], [3, 1], [5, 2]], 7/115200], [[[1, 7], [2, 6], [3, 2], [4, 3]], 1/3456], [[[1, 7], [2, 6], [3, 2], [7, 1]], 1/27648], [[[1, 7], [2, 6], [3, 3], [4, 2]], 5/41472], [[[1, 7], [2, 6], [3, 3], [5, 1]], 7/414720], [[[1, 7], [2, 6], [3, 3], [6, 2]], 5/41472], [[[1, 7], [2, 6], [3, 4], [4, 1]], 1/82944], [[[1, 7], [2, 6], [3, 4], [6, 1]], 1/41472], [[[1, 7], [2, 6], [4, 1], [5, 2]], 1/6400], [[[1, 7], [2, 6], [4, 2], [7, 1]], 5/21504], [[[1, 7], [2, 6], [4, 3], [5, 1]], 1/3840], [[[1, 7], [2, 6], [5, 1], [7, 1]], 1/23040], [[[1, 7], [2, 8], [3, 1], [6, 3]], 7/165888], [[[1, 7], [2, 8], [3, 2], [6, 2]], 1/27648], [[[1, 7], [2, 8], [4, 1], [6, 3]], 7/165888], [[[1, 7], [2, 8], [4, 1], [14, 1]], 1/18432], [[[1, 7], [2, 8], [4, 2], [6, 2]], 11/55296], [[[1, 7], [2, 8], [4, 2], [10, 1]], 1/5120], [[[1, 7], [2, 8], [4, 3], [6, 1]], 5/18432], [[[1, 7], [2, 8], [6, 1], [14, 1]], 1/48384], [[[1, 7], [2, 8], [6, 2], [10, 1]], 1/34560], [[[1, 7], [2, 10], [3, 1], [6, 2]], 7/82944], [[[1, 7], [2, 10], [4, 1], [6, 2]], 77/331776], [[[1, 7], [2, 10], [4, 1], [10, 1]], 7/55296], [[[1, 7], [2, 10], [4, 2], [6, 1]], 5/13824], [[[1, 7], [2, 10], [6, 1], [10, 1]], 1/13824], [[[1, 7], [2, 12], [3, 1], [6, 1]], 7/552960], [[[1, 7], [2, 12], [4, 1], [6, 1]], 49/414720], [[[1, 7], [3, 1], [5, 2], [7, 1]], 1/6300], [[[1, 7], [3, 2], [5, 1], [15, 1]], 1/3600], [[[1, 7], [3, 3], [5, 1], [7, 1]], 1/6480], [[[1, 8], [2, 1], [3, 1], [5, 3]], 1/4500], [[[1, 8], [2, 1], [3, 1], [7, 2]], 13/493920], [[[1, 8], [2, 1], [3, 3], [5, 2]], 1/4050], [[[1, 8], [2, 1], [3, 4], [7, 1]], 1/6804], [[[1, 8], [2, 1], [3, 4], [9, 1]], 1/2592], [[[1, 8], [2, 1], [3, 5], [5, 1]], 1/12960], [[[1, 8], [2, 1], [3, 6], [4, 1]], 221/4898880], [[[1, 8], [2, 1], [3, 6], [6, 1]], 1/3645], [[[1, 8], [2, 1], [4, 1], [5, 3]], 1/12000], [[[1, 8], [2, 1], [4, 1], [7, 2]], 1/246960], [[[1, 8], [2, 1], [5, 2], [7, 1]], 37/441000], [[[1, 8], [2, 3], [3, 2], [5, 2]], 53/86400], [[[1, 8], [2, 3], [3, 3], [4, 3]], 53/622080], [[[1, 8], [2, 3], [3, 3], [6, 3]], 1/15552], [[[1, 8], [2, 3], [3, 3], [7, 1]], 25/72576], [[[1, 8], [2, 3], [3, 4], [4, 2]], 43/124416], [[[1, 8], [2, 3], [3, 4], [5, 1]], 17/77760], [[[1, 8], [2, 3], [3, 4], [6, 2]], 1/1152], [[[1, 8], [2, 3], [3, 5], [4, 1]], 5/31104], [[[1, 8], [2, 3], [3, 5], [6, 1]], 31/77760], [[[1, 8], [2, 3], [4, 2], [5, 2]], 11/28800], [[[1, 8], [2, 3], [4, 3], [7, 1]], 1/32256], [[[1, 8], [2, 5], [3, 1], [4, 4]], 1/9216], [[[1, 8], [2, 5], [3, 1], [5, 2]], 1/3840], [[[1, 8], [2, 5], [3, 2], [4, 3]], 17/27648], [[[1, 8], [2, 5], [3, 2], [7, 1]], 17/96768], [[[1, 8], [2, 5], [3, 3], [4, 2]], 13/20736], [[[1, 8], [2, 5], [3, 3], [5, 1]], 11/69120], [[[1, 8], [2, 5], [3, 3], [6, 2]], 1/3456], [[[1, 8], [2, 5], [3, 4], [4, 1]], 5/31104], [[[1, 8], [2, 5], [3, 4], [6, 1]], 25/124416], [[[1, 8], [2, 5], [4, 1], [5, 2]], 1/2304], [[[1, 8], [2, 5], [4, 2], [7, 1]], 5/16128], [[[1, 8], [2, 5], [4, 3], [5, 1]], 1/2560], [[[1, 8], [2, 5], [5, 1], [7, 1]], 1/8960], [[[1, 8], [2, 7], [3, 1], [4, 3]], 5/18432], [[[1, 8], [2, 7], [3, 1], [7, 1]], 1/48384], [[[1, 8], [2, 7], [3, 2], [4, 2]], 11/55296], [[[1, 8], [2, 7], [3, 2], [5, 1]], 1/34560], [[[1, 8], [2, 7], [3, 2], [6, 2]], 1/27648], [[[1, 8], [2, 7], [3, 3], [4, 1]], 7/165888], [[[1, 8], [2, 7], [3, 3], [6, 1]], 7/165888], [[[1, 8], [2, 7], [4, 1], [7, 1]], 1/18432], [[[1, 8], [2, 7], [4, 2], [5, 1]], 1/5120], [[[1, 8], [2, 9], [3, 1], [6, 2]], 1/41472], [[[1, 8], [2, 9], [4, 1], [6, 2]], 1/20736], [[[1, 8], [2, 9], [4, 1], [10, 1]], 1/23040], [[[1, 8], [2, 9], [4, 2], [6, 1]], 7/55296], [[[1, 8], [2, 9], [6, 1], [10, 1]], 1/61440], [[[1, 8], [2, 11], [3, 1], [6, 1]], 1/82944], [[[1, 8], [2, 11], [4, 1], [6, 1]], 7/82944], [[[1, 9], [2, 2], [3, 2], [5, 2]], 71/144000], [[[1, 9], [2, 2], [3, 3], [7, 1]], 83/362880], [[[1, 9], [2, 2], [3, 4], [4, 2]], 23/311040], [[[1, 9], [2, 2], [3, 4], [5, 1]], 1/3456], [[[1, 9], [2, 2], [3, 4], [6, 2]], 1/10368], [[[1, 9], [2, 2], [3, 5], [4, 1]], 5/31104], [[[1, 9], [2, 2], [3, 5], [6, 1]], 67/233280], [[[1, 9], [2, 2], [4, 2], [5, 2]], 1/14400], [[[1, 9], [2, 4], [3, 1], [4, 4]], 1/55296], [[[1, 9], [2, 4], [3, 1], [5, 2]], 143/345600], [[[1, 9], [2, 4], [3, 2], [4, 3]], 59/207360], [[[1, 9], [2, 4], [3, 2], [7, 1]], 17/64512], [[[1, 9], [2, 4], [3, 3], [4, 2]], 157/207360], [[[1, 9], [2, 4], [3, 3], [5, 1]], 35/82944], [[[1, 9], [2, 4], [3, 3], [6, 2]], 19/103680], [[[1, 9], [2, 4], [3, 4], [4, 1]], 55/124416], [[[1, 9], [2, 4], [3, 4], [6, 1]], 25/62208], [[[1, 9], [2, 4], [4, 1], [5, 2]], 7/16000], [[[1, 9], [2, 4], [4, 2], [7, 1]], 11/80640], [[[1, 9], [2, 4], [4, 3], [5, 1]], 1/5760], [[[1, 9], [2, 4], [5, 1], [7, 1]], 17/161280], [[[1, 9], [2, 6], [3, 1], [4, 3]], 7/13824], [[[1, 9], [2, 6], [3, 1], [7, 1]], 1/13824], [[[1, 9], [2, 6], [3, 2], [4, 2]], 5/6912], [[[1, 9], [2, 6], [3, 2], [5, 1]], 7/41472], [[[1, 9], [2, 6], [3, 2], [6, 2]], 5/82944], [[[1, 9], [2, 6], [3, 3], [4, 1]], 1/3456], [[[1, 9], [2, 6], [3, 3], [6, 1]], 17/82944], [[[1, 9], [2, 6], [4, 1], [7, 1]], 1/9216], [[[1, 9], [2, 6], [4, 2], [5, 1]], 1/2304], [[[1, 9], [2, 8], [3, 1], [4, 2]], 7/55296], [[[1, 9], [2, 8], [3, 1], [5, 1]], 1/61440], [[[1, 9], [2, 8], [3, 2], [4, 1]], 1/20736], [[[1, 9], [2, 8], [3, 2], [6, 1]], 1/41472], [[[1, 9], [2, 8], [4, 1], [5, 1]], 1/23040], [[[1, 9], [2, 10], [3, 1], [6, 1]], 1/221184], [[[1, 9], [2, 10], [4, 1], [6, 1]], 5/221184], [[[1, 9], [3, 2], [5, 1], [7, 1]], 181/4233600], [[[1, 10], [2, 1], [3, 2], [5, 2]], 979/6048000], [[[1, 10], [2, 1], [3, 3], [7, 1]], 767/15240960], [[[1, 10], [2, 1], [3, 4], [5, 1]], 17/129600], [[[1, 10], [2, 1], [3, 5], [4, 1]], 13/466560], [[[1, 10], [2, 1], [3, 5], [6, 1]], 41/1166400], [[[1, 10], [2, 3], [3, 1], [5, 2]], 37/120960], [[[1, 10], [2, 3], [3, 2], [4, 3]], 109/2903040], [[[1, 10], [2, 3], [3, 2], [7, 1]], 271/1693440], [[[1, 10], [2, 3], [3, 3], [4, 2]], 583/2177280], [[[1, 10], [2, 3], [3, 3], [5, 1]], 707/1555200], [[[1, 10], [2, 3], [3, 3], [6, 2]], 13/362880], [[[1, 10], [2, 3], [3, 4], [4, 1]], 119/311040], [[[1, 10], [2, 3], [3, 4], [6, 1]], 83/311040], [[[1, 10], [2, 3], [4, 1], [5, 2]], 13/67200], [[[1, 10], [2, 3], [4, 2], [7, 1]], 1/42336], [[[1, 10], [2, 3], [4, 3], [5, 1]], 1/41472], [[[1, 10], [2, 3], [5, 1], [7, 1]], 191/4233600], [[[1, 10], [2, 5], [3, 1], [4, 3]], 41/138240], [[[1, 10], [2, 5], [3, 1], [7, 1]], 43/483840], [[[1, 10], [2, 5], [3, 2], [4, 2]], 109/138240], [[[1, 10], [2, 5], [3, 2], [5, 1]], 119/345600], [[[1, 10], [2, 5], [3, 2], [6, 2]], 7/207360], [[[1, 10], [2, 5], [3, 3], [4, 1]], 289/497664], [[[1, 10], [2, 5], [3, 3], [6, 1]], 17/55296], [[[1, 10], [2, 5], [4, 1], [7, 1]], 31/387072], [[[1, 10], [2, 5], [4, 2], [5, 1]], 119/345600], [[[1, 10], [2, 7], [3, 1], [4, 2]], 5/13824], [[[1, 10], [2, 7], [3, 1], [5, 1]], 1/13824], [[[1, 10], [2, 7], [3, 2], [4, 1]], 77/331776], [[[1, 10], [2, 7], [3, 2], [6, 1]], 7/82944], [[[1, 10], [2, 7], [4, 1], [5, 1]], 7/55296], [[[1, 10], [2, 9], [3, 1], [4, 1]], 5/221184], [[[1, 10], [2, 9], [3, 1], [6, 1]], 1/221184], [[[1, 11], [2, 2], [3, 1], [5, 2]], 431/4032000], [[[1, 11], [2, 2], [3, 2], [7, 1]], 283/6773760], [[[1, 11], [2, 2], [3, 3], [4, 2]], 31/1088640], [[[1, 11], [2, 2], [3, 3], [5, 1]], 3091/14515200], [[[1, 11], [2, 2], [3, 3], [6, 2]], 1/483840], [[[1, 11], [2, 2], [3, 4], [4, 1]], 937/8709120], [[[1, 11], [2, 2], [3, 4], [6, 1]], 767/13063680], [[[1, 11], [2, 2], [4, 1], [5, 2]], 31/864000], [[[1, 11], [2, 2], [4, 2], [7, 1]], 1/752640], [[[1, 11], [2, 2], [5, 1], [7, 1]], 251/28224000], [[[1, 11], [2, 4], [3, 1], [4, 3]], 61/870912], [[[1, 11], [2, 4], [3, 1], [7, 1]], 17/338688], [[[1, 11], [2, 4], [3, 2], [4, 2]], 47/138240], [[[1, 11], [2, 4], [3, 2], [5, 1]], 157/483840], [[[1, 11], [2, 4], [3, 2], [6, 2]], 11/1451520], [[[1, 11], [2, 4], [3, 3], [4, 1]], 1003/2177280], [[[1, 11], [2, 4], [3, 3], [6, 1]], 271/1451520], [[[1, 11], [2, 4], [4, 1], [7, 1]], 31/1128960], [[[1, 11], [2, 4], [4, 2], [5, 1]], 97/806400], [[[1, 11], [2, 6], [3, 1], [4, 2]], 5/13824], [[[1, 11], [2, 6], [3, 1], [5, 1]], 511/4147200], [[[1, 11], [2, 6], [3, 2], [4, 1]], 7/18432], [[[1, 11], [2, 6], [3, 2], [6, 1]], 43/414720], [[[1, 11], [2, 6], [4, 1], [5, 1]], 11/76800], [[[1, 11], [2, 8], [3, 1], [4, 1]], 7/82944], [[[1, 11], [2, 8], [3, 1], [6, 1]], 1/82944], [[[1, 11], [3, 1], [5, 1], [7, 1]], 1/453600], [[[1, 12], [2, 1], [3, 1], [5, 2]], 289/18144000], [[[1, 12], [2, 1], [3, 2], [7, 1]], 727/152409600], [[[1, 12], [2, 1], [3, 3], [5, 1]], 97/2419200], [[[1, 12], [2, 1], [3, 4], [4, 1]], 61/6531840], [[[1, 12], [2, 1], [3, 4], [6, 1]], 53/13063680], [[[1, 12], [2, 1], [4, 1], [5, 2]], 13/6048000], [[[1, 12], [2, 1], [5, 1], [7, 1]], 11/14112000], [[[1, 12], [2, 3], [3, 1], [4, 3]], 101/17418240], [[[1, 12], [2, 3], [3, 1], [7, 1]], 179/12700800], [[[1, 12], [2, 3], [3, 2], [4, 2]], 779/12441600], [[[1, 12], [2, 3], [3, 2], [5, 1]], 137/907200], [[[1, 12], [2, 3], [3, 2], [6, 2]], 31/43545600], [[[1, 12], [2, 3], [3, 3], [4, 1]], 391/2488320], [[[1, 12], [2, 3], [3, 3], [6, 1]], 283/5806080], [[[1, 12], [2, 3], [4, 1], [7, 1]], 313/67737600], [[[1, 12], [2, 3], [4, 2], [5, 1]], 89/4838400], [[[1, 12], [2, 5], [3, 1], [4, 2]], 241/1451520], [[[1, 12], [2, 5], [3, 1], [5, 1]], 101/967680], [[[1, 12], [2, 5], [3, 2], [4, 1]], 653/2322432], [[[1, 12], [2, 5], [3, 2], [6, 1]], 17/290304], [[[1, 12], [2, 5], [4, 1], [5, 1]], 31/387072], [[[1, 12], [2, 7], [3, 1], [4, 1]], 49/414720], [[[1, 12], [2, 7], [3, 1], [6, 1]], 7/552960], [[[1, 13], [2, 2], [3, 1], [7, 1]], 103/50803200], [[[1, 13], [2, 2], [3, 2], [4, 2]], 179/43545600], [[[1, 13], [2, 2], [3, 2], [5, 1]], 1243/36288000], [[[1, 13], [2, 2], [3, 2], [6, 2]], 1/43545600], [[[1, 13], [2, 2], [3, 3], [4, 1]], 769/32659200], [[[1, 13], [2, 2], [3, 3], [6, 1]], 727/130636800], [[[1, 13], [2, 2], [4, 1], [7, 1]], 37/101606400], [[[1, 13], [2, 2], [4, 2], [5, 1]], 1/1036800], [[[1, 13], [2, 4], [3, 1], [4, 2]], 1097/29030400], [[[1, 13], [2, 4], [3, 1], [5, 1]], 689/14515200], [[[1, 13], [2, 4], [3, 2], [4, 1]], 4513/43545600], [[[1, 13], [2, 4], [3, 2], [6, 1]], 179/10886400], [[[1, 13], [2, 4], [4, 1], [5, 1]], 61/2592000], [[[1, 13], [2, 6], [3, 1], [4, 1]], 17/207360], [[[1, 13], [2, 6], [3, 1], [6, 1]], 13/1935360], [[[1, 14], [2, 1], [3, 1], [7, 1]], 151/1066867200], [[[1, 14], [2, 1], [3, 2], [5, 1]], 131/36288000], [[[1, 14], [2, 1], [3, 3], [4, 1]], 143/111974400], [[[1, 14], [2, 1], [3, 3], [6, 1]], 59/261273600], [[[1, 14], [2, 1], [4, 1], [7, 1]], 1/94832640], [[[1, 14], [2, 3], [3, 1], [4, 2]], 89/21772800], [[[1, 14], [2, 3], [3, 1], [5, 1]], 1/85050], [[[1, 14], [2, 3], [3, 2], [4, 1]], 3419/174182400], [[[1, 14], [2, 3], [3, 2], [6, 1]], 103/43545600], [[[1, 14], [2, 3], [4, 1], [5, 1]], 1/276480], [[[1, 14], [2, 5], [3, 1], [4, 1]], 1081/34836480], [[[1, 14], [2, 5], [3, 1], [6, 1]], 17/8709120], [[[1, 15], [2, 2], [3, 1], [4, 2]], 1/6096384], [[[1, 15], [2, 2], [3, 1], [5, 1]], 59/37632000], [[[1, 15], [2, 2], [3, 2], [4, 1]], 221/121927680], [[[1, 15], [2, 2], [3, 2], [6, 1]], 151/914457600], [[[1, 15], [2, 2], [4, 1], [5, 1]], 137/508032000], [[[1, 15], [2, 4], [3, 1], [4, 1]], 289/43545600], [[[1, 15], [2, 4], [3, 1], [6, 1]], 1/3110400], [[[1, 16], [2, 1], [3, 1], [5, 1]], 53/508032000], [[[1, 16], [2, 1], [3, 2], [4, 1]], 233/3657830400], [[[1, 16], [2, 1], [3, 2], [6, 1]], 1/228614400], [[[1, 16], [2, 1], [4, 1], [5, 1]], 23/3048192000], [[[1, 16], [2, 3], [3, 1], [4, 1]], 1207/1524096000], [[[1, 16], [2, 3], [3, 1], [6, 1]], 181/6096384000], [[[1, 17], [2, 2], [3, 1], [4, 1]], 37/762048000], [[[1, 17], [2, 2], [3, 1], [6, 1]], 13/9144576000], [[[1, 18], [2, 1], [3, 1], [4, 1]], 43/36578304000], [[[1, 18], [2, 1], [3, 1], [6, 1]], 1/36578304000], [[[2, 1], [10, 1], [14, 1], [42, 1]], 1/105], [[[2, 3], [6, 1], [14, 1], [42, 1]], 1/126], [[[2, 3], [6, 2], [10, 1], [14, 2]], 1/8820], [[[2, 3], [6, 2], [10, 1], [18, 2]], 1/270], [[[2, 3], [6, 2], [10, 2], [30, 1]], 1/150], [[[2, 5], [6, 1], [10, 1], [14, 2]], 1/5040], [[[2, 5], [6, 2], [10, 2], [14, 1]], 1/6300], [[[2, 5], [6, 3], [10, 1], [30, 1]], 1/180], [[[2, 5], [6, 4], [10, 1], [14, 1]], 1/22680], [[[2, 5], [6, 4], [10, 1], [18, 1]], 1/1080], [[[2, 7], [6, 1], [10, 2], [14, 1]], 1/6300], [[[2, 7], [6, 2], [10, 1], [30, 1]], 1/3600], [[[2, 7], [6, 3], [10, 1], [14, 1]], 1/6480], [[[2, 9], [6, 2], [10, 1], [14, 1]], 181/4233600], [[[2, 11], [6, 1], [10, 1], [14, 1]], 1/453600], [[[1, 1], [2, 2], [4, 1], [14, 1], [42, 1]], 1/84], [[[1, 1], [2, 2], [6, 1], [14, 1], [42, 1]], 1/126], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 2]], 1/3528], [[[1, 1], [2, 4], [4, 1], [6, 2], [14, 2]], 1/3528], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 2]], 1/216], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 2]], 1/2940], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 2]], 1/1960], [[[1, 1], [2, 4], [6, 2], [10, 2], [14, 1]], 1/6300], [[[1, 1], [2, 4], [6, 3], [10, 1], [30, 1]], 1/180], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 3]], 1/6000], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 2]], 1/70560], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 2]], 1/5400], [[[1, 1], [2, 6], [3, 1], [6, 4], [14, 1]], 1/4536], [[[1, 1], [2, 6], [3, 1], [6, 4], [18, 1]], 1/216], [[[1, 1], [2, 6], [3, 1], [6, 5], [10, 1]], 2/6075], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 3]], 1/12000], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 2]], 1/8820], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 2]], 1/10800], [[[1, 1], [2, 6], [4, 1], [6, 4], [14, 1]], 1/6048], [[[1, 1], [2, 6], [4, 1], [6, 4], [18, 1]], 1/864], [[[1, 1], [2, 6], [4, 1], [6, 5], [10, 1]], 1/38880], [[[1, 1], [2, 6], [4, 1], [10, 2], [14, 1]], 1/3360], [[[1, 1], [2, 6], [6, 1], [10, 2], [14, 1]], 1/1575], [[[1, 1], [2, 6], [6, 2], [10, 1], [30, 1]], 1/360], [[[1, 1], [2, 6], [6, 3], [10, 1], [14, 1]], 1/2520], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 2]], 1/5400], [[[1, 1], [2, 8], [3, 1], [6, 3], [14, 1]], 1/15120], [[[1, 1], [2, 8], [3, 1], [6, 3], [18, 1]], 1/4320], [[[1, 1], [2, 8], [3, 1], [6, 4], [10, 1]], 7/38880], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 2]], 1/4800], [[[1, 1], [2, 8], [4, 1], [6, 3], [14, 1]], 1/8640], [[[1, 1], [2, 8], [4, 1], [6, 4], [10, 1]], 11/77760], [[[1, 1], [2, 8], [6, 2], [10, 1], [14, 1]], 19/50400], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 2]], 23/3024000], [[[1, 1], [2, 10], [3, 1], [6, 2], [14, 1]], 1/282240], [[[1, 1], [2, 10], [3, 1], [6, 3], [10, 1]], 181/3628800], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 2]], 17/252000], [[[1, 1], [2, 10], [4, 1], [6, 2], [14, 1]], 5/225792], [[[1, 1], [2, 10], [4, 1], [6, 3], [10, 1]], 1943/21772800], [[[1, 1], [2, 10], [4, 1], [10, 1], [14, 1]], 1/169344], [[[1, 1], [2, 10], [6, 1], [10, 1], [14, 1]], 29/705600], [[[1, 1], [2, 12], [3, 1], [6, 1], [14, 1]], 1/25401600], [[[1, 1], [2, 12], [3, 1], [6, 2], [10, 1]], 1/388800], [[[1, 1], [2, 12], [4, 1], [6, 1], [14, 1]], 17/16934400], [[[1, 1], [2, 12], [4, 1], [6, 2], [10, 1]], 179/10886400], [[[1, 1], [2, 14], [3, 1], [6, 1], [10, 1]], 43/1524096000], [[[1, 1], [2, 14], [4, 1], [6, 1], [10, 1]], 2213/3048192000], [[[1, 2], [2, 1], [3, 1], [7, 1], [21, 1]], 1/126], [[[1, 2], [2, 1], [4, 1], [7, 1], [21, 1]], 1/84], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 2]], 1/3528], [[[1, 2], [2, 3], [4, 1], [6, 2], [14, 2]], 1/7056], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 2]], 1/1960], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 2]], 1/4704], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 2]], 1/3920], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 3]], 1/3000], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 2]], 1/7056], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 2]], 1/5400], [[[1, 2], [2, 5], [3, 1], [6, 4], [14, 1]], 1/4536], [[[1, 2], [2, 5], [3, 1], [6, 4], [18, 1]], 1/216], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 2]], 1/3600], [[[1, 2], [2, 5], [3, 2], [6, 3], [14, 1]], 1/3024], [[[1, 2], [2, 5], [3, 2], [6, 3], [18, 1]], 1/432], [[[1, 2], [2, 5], [3, 2], [6, 4], [10, 1]], 1/648], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 3]], 1/6000], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 2]], 1/1764], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 2]], 1/10800], [[[1, 2], [2, 5], [4, 1], [6, 4], [14, 1]], 1/9072], [[[1, 2], [2, 5], [4, 1], [10, 2], [14, 1]], 1/1200], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 2]], 1/14400], [[[1, 2], [2, 5], [4, 2], [6, 3], [14, 1]], 1/4032], [[[1, 2], [2, 5], [4, 2], [6, 4], [10, 1]], 1/25920], [[[1, 2], [2, 5], [6, 1], [10, 2], [14, 1]], 1/1400], [[[1, 2], [2, 5], [6, 2], [10, 1], [30, 1]], 1/240], [[[1, 2], [2, 5], [6, 3], [10, 1], [14, 1]], 1/5040], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 5]], 7/12960], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 2]], 1/1350], [[[1, 2], [2, 7], [3, 1], [6, 3], [14, 1]], 1/2016], [[[1, 2], [2, 7], [3, 1], [6, 3], [18, 1]], 1/432], [[[1, 2], [2, 7], [3, 1], [6, 4], [10, 1]], 1/2160], [[[1, 2], [2, 7], [3, 2], [6, 2], [14, 1]], 1/60480], [[[1, 2], [2, 7], [3, 2], [6, 2], [18, 1]], 1/8640], [[[1, 2], [2, 7], [3, 2], [6, 3], [10, 1]], 7/25920], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 2]], 1/1440], [[[1, 2], [2, 7], [4, 1], [6, 3], [14, 1]], 23/36288], [[[1, 2], [2, 7], [4, 1], [6, 4], [10, 1]], 1/3240], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 2]], 1/5760], [[[1, 2], [2, 7], [4, 2], [6, 2], [14, 1]], 17/80640], [[[1, 2], [2, 7], [4, 2], [6, 3], [10, 1]], 23/103680], [[[1, 2], [2, 7], [4, 2], [10, 1], [14, 1]], 1/5760], [[[1, 2], [2, 7], [6, 2], [10, 1], [14, 1]], 17/20160], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 4]], 7/51840], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 2]], 37/378000], [[[1, 2], [2, 9], [3, 1], [6, 2], [14, 1]], 13/211680], [[[1, 2], [2, 9], [3, 1], [6, 3], [10, 1]], 19/43200], [[[1, 2], [2, 9], [3, 2], [6, 2], [10, 1]], 11/907200], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 2]], 43/84000], [[[1, 2], [2, 9], [4, 1], [6, 2], [14, 1]], 43/169344], [[[1, 2], [2, 9], [4, 1], [6, 3], [10, 1]], 157/259200], [[[1, 2], [2, 9], [4, 1], [10, 1], [14, 1]], 1/11025], [[[1, 2], [2, 9], [4, 2], [6, 1], [14, 1]], 13/282240], [[[1, 2], [2, 9], [4, 2], [6, 2], [10, 1]], 101/604800], [[[1, 2], [2, 9], [6, 1], [10, 1], [14, 1]], 43/176400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 3]], 5/193536], [[[1, 2], [2, 11], [3, 1], [6, 1], [14, 1]], 31/25401600], [[[1, 2], [2, 11], [3, 1], [6, 2], [10, 1]], 29/604800], [[[1, 2], [2, 11], [4, 1], [6, 1], [14, 1]], 1081/50803200], [[[1, 2], [2, 11], [4, 1], [6, 2], [10, 1]], 101/483840], [[[1, 2], [2, 11], [4, 2], [6, 1], [10, 1]], 101/2903040], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 2]], 17/14515200], [[[1, 2], [2, 13], [3, 1], [6, 1], [10, 1]], 11/12096000], [[[1, 2], [2, 13], [4, 1], [6, 1], [10, 1]], 169/10368000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 1]], 1/81285120], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 2]], 1/4704], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 2]], 1/3920], [[[1, 3], [2, 2], [3, 2], [4, 1], [7, 2]], 1/7056], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 2]], 1/3528], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 2]], 1/1960], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 3]], 1/6000], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 2]], 1/4704], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 2]], 1/3600], [[[1, 3], [2, 4], [3, 2], [6, 3], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 2], [6, 3], [18, 1]], 1/432], [[[1, 3], [2, 4], [3, 3], [6, 3], [10, 1]], 1/648], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 3]], 1/12000], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 2]], 1/2352], [[[1, 3], [2, 4], [4, 1], [10, 2], [14, 1]], 3/5600], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 2]], 1/14400], [[[1, 3], [2, 4], [4, 2], [6, 3], [14, 1]], 1/12096], [[[1, 3], [2, 4], [4, 3], [6, 2], [14, 1]], 1/8064], [[[1, 3], [2, 4], [4, 3], [6, 3], [10, 1]], 1/51840], [[[1, 3], [2, 4], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 5]], 1/7776], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 4]], 1/3456], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 2]], 1/1200], [[[1, 3], [2, 6], [3, 1], [6, 3], [14, 1]], 1/1512], [[[1, 3], [2, 6], [3, 1], [6, 3], [18, 1]], 1/288], [[[1, 3], [2, 6], [3, 1], [6, 4], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 4]], 11/5184], [[[1, 3], [2, 6], [3, 2], [6, 2], [14, 1]], 1/6048], [[[1, 3], [2, 6], [3, 2], [6, 2], [18, 1]], 1/864], [[[1, 3], [2, 6], [3, 2], [6, 3], [10, 1]], 1/1440], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 2]], 1/1600], [[[1, 3], [2, 6], [4, 1], [6, 3], [14, 1]], 1/1728], [[[1, 3], [2, 6], [4, 1], [6, 4], [10, 1]], 1/8640], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 2]], 7/14400], [[[1, 3], [2, 6], [4, 2], [6, 2], [14, 1]], 1/1152], [[[1, 3], [2, 6], [4, 2], [6, 3], [10, 1]], 7/17280], [[[1, 3], [2, 6], [4, 2], [10, 1], [14, 1]], 1/1344], [[[1, 3], [2, 6], [4, 3], [6, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 3], [6, 2], [10, 1]], 1/8640], [[[1, 3], [2, 6], [6, 2], [10, 1], [14, 1]], 19/30240], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 4]], 23/31104], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 3]], 17/69120], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 2]], 1/3000], [[[1, 3], [2, 8], [3, 1], [6, 2], [14, 1]], 19/60480], [[[1, 3], [2, 8], [3, 1], [6, 3], [10, 1]], 17/17280], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 3]], 1/6480], [[[1, 3], [2, 8], [3, 2], [6, 2], [10, 1]], 1/7200], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 2]], 29/24000], [[[1, 3], [2, 8], [4, 1], [6, 2], [14, 1]], 71/80640], [[[1, 3], [2, 8], [4, 1], [6, 3], [10, 1]], 37/34560], [[[1, 3], [2, 8], [4, 1], [10, 1], [14, 1]], 1/2400], [[[1, 3], [2, 8], [4, 2], [6, 1], [14, 1]], 1/2520], [[[1, 3], [2, 8], [4, 2], [6, 2], [10, 1]], 13/14400], [[[1, 3], [2, 8], [4, 3], [6, 1], [10, 1]], 7/69120], [[[1, 3], [2, 8], [6, 1], [10, 1], [14, 1]], 83/151200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 3]], 43/145152], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 2]], 13/241920], [[[1, 3], [2, 10], [3, 1], [6, 1], [14, 1]], 11/846720], [[[1, 3], [2, 10], [3, 1], [6, 2], [10, 1]], 43/151200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 2]], 1/181440], [[[1, 3], [2, 10], [4, 1], [6, 1], [14, 1]], 29/188160], [[[1, 3], [2, 10], [4, 1], [6, 2], [10, 1]], 89/100800], [[[1, 3], [2, 10], [4, 2], [6, 1], [10, 1]], 23/67200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 2]], 1081/43545600], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 1]], 1/645120], [[[1, 3], [2, 12], [3, 1], [6, 1], [10, 1]], 251/24192000], [[[1, 3], [2, 12], [4, 1], [6, 1], [10, 1]], 6301/48384000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 1]], 37/87091200], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 2]], 1/1960], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 2]], 1/3528], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 2]], 1/216], [[[1, 4], [2, 1], [3, 2], [5, 2], [7, 1]], 1/6300], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 2]], 1/3528], [[[1, 4], [2, 1], [3, 3], [5, 1], [15, 1]], 1/180], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 2]], 1/2940], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3]], 1/12000], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 2]], 1/2352], [[[1, 4], [2, 3], [3, 1], [5, 2], [7, 1]], 1/4200], [[[1, 4], [2, 3], [3, 1], [5, 3], [6, 1]], 1/6000], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 2]], 1/4704], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2]], 1/14400], [[[1, 4], [2, 3], [3, 2], [4, 3], [7, 1]], 1/8064], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 2]], 1/3600], [[[1, 4], [2, 3], [3, 3], [4, 2], [7, 1]], 1/12096], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 3]], 1/648], [[[1, 4], [2, 3], [3, 3], [6, 2], [7, 1]], 1/3024], [[[1, 4], [2, 3], [3, 3], [6, 2], [9, 1]], 1/432], [[[1, 4], [2, 3], [4, 1], [5, 2], [7, 1]], 3/5600], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 4]], 1/10368], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 3]], 1/6912], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 2]], 1/3600], [[[1, 4], [2, 5], [3, 1], [6, 3], [14, 1]], 1/6048], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 4]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 3]], 1/3456], [[[1, 4], [2, 5], [3, 2], [6, 2], [14, 1]], 1/4032], [[[1, 4], [2, 5], [3, 2], [6, 2], [18, 1]], 1/576], [[[1, 4], [2, 5], [3, 2], [6, 3], [10, 1]], 1/2880], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 3]], 5/2592], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 2]], 1/7200], [[[1, 4], [2, 5], [4, 1], [6, 3], [14, 1]], 1/12096], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 2]], 1/3200], [[[1, 4], [2, 5], [4, 2], [6, 2], [14, 1]], 1/2304], [[[1, 4], [2, 5], [4, 2], [6, 3], [10, 1]], 1/11520], [[[1, 4], [2, 5], [4, 2], [10, 1], [14, 1]], 3/4480], [[[1, 4], [2, 5], [4, 3], [6, 1], [14, 1]], 1/2688], [[[1, 4], [2, 5], [4, 3], [6, 2], [10, 1]], 1/5760], [[[1, 4], [2, 5], [6, 2], [10, 1], [14, 1]], 1/8064], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 4]], 7/10368], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 3]], 7/6912], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 2]], 1/6912], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 2]], 1/2400], [[[1, 4], [2, 7], [3, 1], [6, 2], [14, 1]], 1/2016], [[[1, 4], [2, 7], [3, 1], [6, 3], [10, 1]], 19/25920], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 3]], 1/1296], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 2]], 1/6912], [[[1, 4], [2, 7], [3, 2], [6, 2], [10, 1]], 1/2880], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 2]], 1/900], [[[1, 4], [2, 7], [4, 1], [6, 2], [14, 1]], 23/24192], [[[1, 4], [2, 7], [4, 1], [6, 3], [10, 1]], 31/51840], [[[1, 4], [2, 7], [4, 1], [10, 1], [14, 1]], 1/1440], [[[1, 4], [2, 7], [4, 2], [6, 1], [14, 1]], 1/1008], [[[1, 4], [2, 7], [4, 2], [6, 2], [10, 1]], 7/5760], [[[1, 4], [2, 7], [4, 3], [6, 1], [10, 1]], 1/2304], [[[1, 4], [2, 7], [6, 1], [10, 1], [14, 1]], 1/2016], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 3]], 71/69120], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 2]], 1/2160], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 1]], 1/27648], [[[1, 4], [2, 9], [3, 1], [6, 1], [14, 1]], 1/17280], [[[1, 4], [2, 9], [3, 1], [6, 2], [10, 1]], 83/129600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 2]], 1/12960], [[[1, 4], [2, 9], [4, 1], [6, 1], [14, 1]], 113/241920], [[[1, 4], [2, 9], [4, 1], [6, 2], [10, 1]], 257/172800], [[[1, 4], [2, 9], [4, 2], [6, 1], [10, 1]], 1/900], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 2]], 29/161280], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 1]], 1/36288], [[[1, 4], [2, 11], [3, 1], [6, 1], [10, 1]], 191/3628800], [[[1, 4], [2, 11], [4, 1], [6, 1], [10, 1]], 1139/2419200], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 1]], 313/58060800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3]], 1/6000], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 2]], 1/1764], [[[1, 5], [2, 2], [3, 1], [5, 2], [7, 1]], 1/1400], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 1]], 1/3000], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 2]], 1/7056], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2]], 1/14400], [[[1, 5], [2, 2], [3, 2], [5, 1], [15, 1]], 1/240], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 2]], 1/3600], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2]], 1/10800], [[[1, 5], [2, 2], [3, 3], [4, 2], [7, 1]], 1/4032], [[[1, 5], [2, 2], [3, 3], [5, 1], [7, 1]], 1/5040], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 1]], 1/5400], [[[1, 5], [2, 2], [3, 3], [6, 2], [7, 1]], 1/3024], [[[1, 5], [2, 2], [3, 3], [6, 2], [9, 1]], 1/432], [[[1, 5], [2, 2], [3, 4], [4, 1], [7, 1]], 1/9072], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1]], 1/25920], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 2]], 1/648], [[[1, 5], [2, 2], [3, 4], [6, 1], [7, 1]], 1/4536], [[[1, 5], [2, 2], [3, 4], [6, 1], [9, 1]], 1/216], [[[1, 5], [2, 2], [4, 1], [5, 2], [7, 1]], 1/1200], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2]], 1/3200], [[[1, 5], [2, 4], [3, 1], [4, 3], [7, 1]], 1/2688], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2]], 1/7200], [[[1, 5], [2, 4], [3, 2], [4, 2], [7, 1]], 1/2304], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1]], 1/5760], [[[1, 5], [2, 4], [3, 2], [5, 1], [7, 1]], 1/8064], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 1]], 1/3600], [[[1, 5], [2, 4], [3, 2], [6, 2], [7, 1]], 1/4032], [[[1, 5], [2, 4], [3, 2], [6, 2], [9, 1]], 1/576], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 3]], 5/2592], [[[1, 5], [2, 4], [3, 3], [4, 1], [7, 1]], 1/12096], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1]], 1/11520], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 2]], 1/3456], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 1]], 1/6912], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 2]], 1/2880], [[[1, 5], [2, 4], [3, 3], [6, 1], [7, 1]], 1/6048], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 2]], 1/5184], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 1]], 1/10368], [[[1, 5], [2, 4], [4, 2], [5, 1], [7, 1]], 3/4480], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 4]], 1/10368], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 3]], 7/13824], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 2]], 1/2304], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 2]], 1/5760], [[[1, 5], [2, 6], [3, 1], [6, 2], [14, 1]], 5/24192], [[[1, 5], [2, 6], [3, 1], [6, 3], [10, 1]], 1/6912], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 3]], 1/1728], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 2]], 1/2304], [[[1, 5], [2, 6], [3, 2], [6, 2], [10, 1]], 1/4320], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 2]], 1/2880], [[[1, 5], [2, 6], [4, 1], [6, 2], [14, 1]], 25/96768], [[[1, 5], [2, 6], [4, 1], [6, 3], [10, 1]], 1/13824], [[[1, 5], [2, 6], [4, 1], [10, 1], [14, 1]], 1/2688], [[[1, 5], [2, 6], [4, 2], [6, 1], [14, 1]], 5/8064], [[[1, 5], [2, 6], [4, 2], [6, 2], [10, 1]], 7/17280], [[[1, 5], [2, 6], [4, 3], [6, 1], [10, 1]], 1/2560], [[[1, 5], [2, 6], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 3]], 23/20736], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 2]], 1/864], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 1]], 1/4608], [[[1, 5], [2, 8], [3, 1], [6, 1], [14, 1]], 5/48384], [[[1, 5], [2, 8], [3, 1], [6, 2], [10, 1]], 1/1728], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 2]], 1/3456], [[[1, 5], [2, 8], [4, 1], [6, 1], [14, 1]], 55/96768], [[[1, 5], [2, 8], [4, 1], [6, 2], [10, 1]], 7/6912], [[[1, 5], [2, 8], [4, 2], [6, 1], [10, 1]], 47/34560], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 2]], 113/207360], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 1]], 11/69120], [[[1, 5], [2, 10], [3, 1], [6, 1], [10, 1]], 17/138240], [[[1, 5], [2, 10], [4, 1], [6, 1], [10, 1]], 223/276480], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 1]], 31/967680], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3]], 1/12000], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 2]], 1/8820], [[[1, 6], [2, 1], [3, 1], [5, 2], [7, 1]], 1/1575], [[[1, 6], [2, 1], [3, 1], [5, 3], [6, 1]], 1/6000], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 2]], 1/70560], [[[1, 6], [2, 1], [3, 2], [5, 1], [15, 1]], 1/360], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2]], 1/10800], [[[1, 6], [2, 1], [3, 3], [5, 1], [7, 1]], 1/2520], [[[1, 6], [2, 1], [3, 3], [5, 2], [6, 1]], 1/5400], [[[1, 6], [2, 1], [3, 4], [4, 1], [7, 1]], 1/6048], [[[1, 6], [2, 1], [3, 4], [4, 1], [9, 1]], 1/864], [[[1, 6], [2, 1], [3, 4], [6, 1], [7, 1]], 1/4536], [[[1, 6], [2, 1], [3, 4], [6, 1], [9, 1]], 1/216], [[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1]], 1/38880], [[[1, 6], [2, 1], [3, 5], [5, 1], [6, 1]], 2/6075], [[[1, 6], [2, 1], [4, 1], [5, 2], [7, 1]], 1/3360], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2]], 7/14400], [[[1, 6], [2, 3], [3, 1], [4, 3], [7, 1]], 1/8064], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2]], 1/1600], [[[1, 6], [2, 3], [3, 2], [4, 2], [7, 1]], 1/1152], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1]], 1/8640], [[[1, 6], [2, 3], [3, 2], [5, 1], [7, 1]], 19/30240], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 1]], 1/1200], [[[1, 6], [2, 3], [3, 2], [6, 2], [7, 1]], 1/6048], [[[1, 6], [2, 3], [3, 2], [6, 2], [9, 1]], 1/864], [[[1, 6], [2, 3], [3, 3], [4, 1], [7, 1]], 1/1728], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1]], 7/17280], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 2]], 1/1440], [[[1, 6], [2, 3], [3, 3], [6, 1], [7, 1]], 1/1512], [[[1, 6], [2, 3], [3, 3], [6, 1], [9, 1]], 1/288], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1]], 1/8640], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 2]], 11/5184], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 1]], 1/3456], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 1]], 1/4320], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 1]], 1/7776], [[[1, 6], [2, 3], [4, 2], [5, 1], [7, 1]], 1/1344], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2]], 1/2880], [[[1, 6], [2, 5], [3, 1], [4, 2], [7, 1]], 5/8064], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1]], 1/2560], [[[1, 6], [2, 5], [3, 1], [5, 1], [7, 1]], 1/6720], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 1]], 1/5760], [[[1, 6], [2, 5], [3, 2], [4, 1], [7, 1]], 25/96768], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1]], 7/17280], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 2]], 1/2304], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 1]], 1/2304], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 2]], 1/4320], [[[1, 6], [2, 5], [3, 2], [6, 1], [7, 1]], 5/24192], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1]], 1/13824], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 2]], 1/1728], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 1]], 7/13824], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 1]], 1/6912], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 1]], 1/10368], [[[1, 6], [2, 5], [4, 1], [5, 1], [7, 1]], 1/2688], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 3]], 25/82944], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 2]], 5/6912], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 1]], 1/3072], [[[1, 6], [2, 7], [3, 1], [6, 1], [14, 1]], 1/16128], [[[1, 6], [2, 7], [3, 1], [6, 2], [10, 1]], 1/5760], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 2]], 1/3456], [[[1, 6], [2, 7], [4, 1], [6, 1], [14, 1]], 1/4608], [[[1, 6], [2, 7], [4, 1], [6, 2], [10, 1]], 1/4608], [[[1, 6], [2, 7], [4, 2], [6, 1], [10, 1]], 5/9216], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 2]], 55/82944], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 1]], 5/13824], [[[1, 6], [2, 9], [3, 1], [6, 1], [10, 1]], 1/7680], [[[1, 6], [2, 9], [4, 1], [6, 1], [10, 1]], 29/46080], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 1]], 31/331776], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2]], 1/5760], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2]], 1/1440], [[[1, 7], [2, 2], [3, 2], [4, 2], [7, 1]], 17/80640], [[[1, 7], [2, 2], [3, 2], [5, 1], [7, 1]], 17/20160], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 1]], 1/1350], [[[1, 7], [2, 2], [3, 2], [6, 2], [7, 1]], 1/60480], [[[1, 7], [2, 2], [3, 2], [6, 2], [9, 1]], 1/8640], [[[1, 7], [2, 2], [3, 3], [4, 1], [7, 1]], 23/36288], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1]], 23/103680], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 2]], 7/25920], [[[1, 7], [2, 2], [3, 3], [6, 1], [7, 1]], 1/2016], [[[1, 7], [2, 2], [3, 3], [6, 1], [9, 1]], 1/432], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1]], 1/3240], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 1]], 1/2160], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 1]], 7/12960], [[[1, 7], [2, 2], [4, 2], [5, 1], [7, 1]], 1/5760], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2]], 1/900], [[[1, 7], [2, 4], [3, 1], [4, 2], [7, 1]], 1/1008], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1]], 1/2304], [[[1, 7], [2, 4], [3, 1], [5, 1], [7, 1]], 1/2016], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 1]], 1/2400], [[[1, 7], [2, 4], [3, 2], [4, 1], [7, 1]], 23/24192], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1]], 7/5760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 2]], 1/6912], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 1]], 1/6912], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 2]], 1/2880], [[[1, 7], [2, 4], [3, 2], [6, 1], [7, 1]], 1/2016], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1]], 31/51840], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 2]], 1/1296], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 1]], 7/6912], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 1]], 19/25920], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 1]], 7/10368], [[[1, 7], [2, 4], [4, 1], [5, 1], [7, 1]], 1/1440], [[[1, 7], [2, 6], [3, 1], [4, 1], [7, 1]], 1/4608], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1]], 5/9216], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 1]], 1/3072], [[[1, 7], [2, 6], [3, 1], [6, 1], [7, 1]], 1/16128], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1]], 1/4608], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 2]], 1/3456], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 1]], 5/6912], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 1]], 1/5760], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 1]], 25/82944], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 2]], 7/27648], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 1]], 5/18432], [[[1, 7], [2, 8], [3, 1], [6, 1], [10, 1]], 7/138240], [[[1, 7], [2, 8], [4, 1], [6, 1], [10, 1]], 49/276480], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 1]], 7/55296], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2]], 1/4800], [[[1, 8], [2, 1], [3, 2], [5, 1], [7, 1]], 19/50400], [[[1, 8], [2, 1], [3, 2], [5, 2], [6, 1]], 1/5400], [[[1, 8], [2, 1], [3, 3], [4, 1], [7, 1]], 1/8640], [[[1, 8], [2, 1], [3, 3], [6, 1], [7, 1]], 1/15120], [[[1, 8], [2, 1], [3, 3], [6, 1], [9, 1]], 1/4320], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1]], 11/77760], [[[1, 8], [2, 1], [3, 4], [5, 1], [6, 1]], 7/38880], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2]], 29/24000], [[[1, 8], [2, 3], [3, 1], [4, 2], [7, 1]], 1/2520], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1]], 7/69120], [[[1, 8], [2, 3], [3, 1], [5, 1], [7, 1]], 83/151200], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 1]], 1/3000], [[[1, 8], [2, 3], [3, 2], [4, 1], [7, 1]], 71/80640], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1]], 13/14400], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 2]], 1/7200], [[[1, 8], [2, 3], [3, 2], [6, 1], [7, 1]], 19/60480], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1]], 37/34560], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 2]], 1/6480], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 1]], 17/69120], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 1]], 17/17280], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 1]], 23/31104], [[[1, 8], [2, 3], [4, 1], [5, 1], [7, 1]], 1/2400], [[[1, 8], [2, 5], [3, 1], [4, 1], [7, 1]], 55/96768], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1]], 47/34560], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 1]], 1/4608], [[[1, 8], [2, 5], [3, 1], [6, 1], [7, 1]], 5/48384], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1]], 7/6912], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 2]], 1/3456], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 1]], 1/864], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 1]], 1/1728], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 1]], 23/20736], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1]], 49/276480], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 1]], 5/18432], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 1]], 7/138240], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 1]], 7/27648], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 1]], 7/110592], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2]], 43/84000], [[[1, 9], [2, 2], [3, 1], [4, 2], [7, 1]], 13/282240], [[[1, 9], [2, 2], [3, 1], [5, 1], [7, 1]], 43/176400], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 1]], 37/378000], [[[1, 9], [2, 2], [3, 2], [4, 1], [7, 1]], 43/169344], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1]], 101/604800], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 2]], 11/907200], [[[1, 9], [2, 2], [3, 2], [6, 1], [7, 1]], 13/211680], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1]], 157/259200], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 1]], 19/43200], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 1]], 7/51840], [[[1, 9], [2, 2], [4, 1], [5, 1], [7, 1]], 1/11025], [[[1, 9], [2, 4], [3, 1], [4, 1], [7, 1]], 113/241920], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1]], 1/900], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 1]], 1/27648], [[[1, 9], [2, 4], [3, 1], [6, 1], [7, 1]], 1/17280], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1]], 257/172800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 2]], 1/12960], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 1]], 1/2160], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 1]], 83/129600], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 1]], 71/69120], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1]], 29/46080], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 1]], 5/13824], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 1]], 1/7680], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 1]], 55/82944], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 1]], 7/110592], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2]], 17/252000], [[[1, 10], [2, 1], [3, 1], [5, 1], [7, 1]], 29/705600], [[[1, 10], [2, 1], [3, 1], [5, 2], [6, 1]], 23/3024000], [[[1, 10], [2, 1], [3, 2], [4, 1], [7, 1]], 5/225792], [[[1, 10], [2, 1], [3, 2], [6, 1], [7, 1]], 1/282240], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1]], 1943/21772800], [[[1, 10], [2, 1], [3, 3], [5, 1], [6, 1]], 181/3628800], [[[1, 10], [2, 1], [4, 1], [5, 1], [7, 1]], 1/169344], [[[1, 10], [2, 3], [3, 1], [4, 1], [7, 1]], 29/188160], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1]], 23/67200], [[[1, 10], [2, 3], [3, 1], [6, 1], [7, 1]], 11/846720], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1]], 89/100800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 2]], 1/181440], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 1]], 13/241920], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 1]], 43/151200], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 1]], 43/145152], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1]], 223/276480], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 1]], 11/69120], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 1]], 17/138240], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 1]], 113/207360], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 1]], 7/55296], [[[1, 11], [2, 2], [3, 1], [4, 1], [7, 1]], 1081/50803200], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1]], 101/2903040], [[[1, 11], [2, 2], [3, 1], [6, 1], [7, 1]], 31/25401600], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1]], 101/483840], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 1]], 29/604800], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 1]], 5/193536], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1]], 1139/2419200], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 1]], 1/36288], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 1]], 191/3628800], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 1]], 29/161280], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 1]], 31/331776], [[[1, 12], [2, 1], [3, 1], [4, 1], [7, 1]], 17/16934400], [[[1, 12], [2, 1], [3, 1], [6, 1], [7, 1]], 1/25401600], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1]], 179/10886400], [[[1, 12], [2, 1], [3, 2], [5, 1], [6, 1]], 1/388800], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1]], 6301/48384000], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 1]], 1/645120], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 1]], 251/24192000], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 1]], 1081/43545600], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 1]], 31/967680], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1]], 169/10368000], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 1]], 11/12096000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 1]], 17/14515200], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 1]], 313/58060800], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1]], 2213/3048192000], [[[1, 14], [2, 1], [3, 1], [5, 1], [6, 1]], 43/1524096000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 1]], 37/87091200], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 1]], 1/81285120], [[[1, 1], [2, 2], [3, 1], [6, 1], [10, 1], [14, 2]], 1/2940], [[[1, 1], [2, 2], [3, 1], [6, 1], [10, 2], [30, 1]], 1/150], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [14, 2]], 1/5880], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/2100], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/108], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/180], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/3780], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/180], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 1/120], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/7560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/432], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1/2160], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 1/3600], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2160], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2016], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/8640], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 11/529200], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 31/176400], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 2]], 1/5880], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [7, 2]], 1/2940], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [15, 1]], 1/150], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/2352], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/2100], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/108], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/180], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/360], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/3600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/1512], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/144], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/6480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/432], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/288], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 1/216], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 1/360], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/840], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/144], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1008], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1/2880], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 1/3780], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1728], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/864], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1/2880], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 1/900], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 1/105840], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 31/151200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1/145152], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/2352], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/2100], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/10080], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/180], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/2520], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/360], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 1/108], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/3600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 1/144], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 1/240], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/1680], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/288], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/144], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 1/96], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/1680], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 7/7200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 1/756], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/864], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/576], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 1/4032], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1/2160], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/1680], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2160], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1/288], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 1/560], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 1/7560], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 7/5400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 7/34560], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 1/9450], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4200], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/2100], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/120], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/180], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/108], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/7560], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/3780], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/180], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/1680], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 1/240], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 1/144], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/3360], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/3600], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/288], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 1/96], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/1680], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/4320], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/3024], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/144], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1008], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2880], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1/1344], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 1/1440], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 1/2520], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1/1440], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1/192], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1260], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 1/2016], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1/480], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 1/1152], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 7/14400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 1/2520], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 1/360], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 1/216], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1008], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/3600], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/840], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/1512], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/144], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/144], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/288], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/6480], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 1/432], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 1/1260], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1600], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1/1344], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1/2520], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 1/1440], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1008], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1/192], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 1/1440], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2880], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 1/2016], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 1/1080], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 1/1280], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 7/8640], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1]], 1/3600], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/2160], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/2016], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2160], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 1/432], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1/560], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 7/7200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1/4032], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1/1680], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2160], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 1/756], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/288], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1/2160], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1/864], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/576], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 1/2016], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1/1280], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1/1080], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 1/2304], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 1/900], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/2880], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1/3780], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/2880], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1728], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1/864], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 1/2016], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1/1152], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1/480], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 1/2304], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 31/176400], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 11/529200], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/8640], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 1/7560], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 7/34560], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 7/5400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 7/8640], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/105840], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 31/151200], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 7/14400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1/9450], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1/145152], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/90], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/216], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/360], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/4320], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/90], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/72], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/120], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2520], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/144], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/120], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1260], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/432], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/120], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/72], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/144], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2520], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/120], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/840], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/288], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/216], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/360], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/840], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/288], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1260], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/432], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/4320], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/180], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/180] ]}