{[
[[[1, 25]], 1/26968451973120000],
[[[2, 25]], 1/26968451973120000],
[[[1, 1], [2, 24]], 1/256842399744000],
[[[1, 2], [2, 23]], 391/2247370997760000],
[[[1, 3], [2, 22]], 29317/6742112993280000],
[[[1, 4], [2, 21]], 173/2568423997440],
[[[1, 5], [2, 20]], 101741/149824733184000],
[[[1, 6], [2, 19]], 30796999/6742112993280000],
[[[1, 7], [2, 18]], 3109427/149824733184000],
[[[1, 8], [2, 17]], 192041783/2996494663680000],
[[[1, 9], [2, 16]], 3647101783/26968451973120000],
[[[1, 9], [5, 4]], 1/120000],
[[[1, 10], [2, 15]], 632329/3210529996800],
[[[1, 11], [2, 14]], 220387/1070176665600],
[[[1, 11], [3, 7]], 1/1679616],
[[[1, 12], [2, 13]], 5808263/32105299968000],
[[[1, 13], [2, 12]], 5808263/32105299968000],
[[[1, 13], [3, 6]], 29/67184640],
[[[1, 13], [5, 3]], 1363/1935360000],
[[[1, 13], [7, 2]], 1/54190080],
[[[1, 14], [2, 11]], 220387/1070176665600],
[[[1, 15], [2, 10]], 632329/3210529996800],
[[[1, 15], [3, 5]], 253/2508226560],
[[[1, 16], [2, 9]], 3647101783/26968451973120000],
[[[1, 17], [2, 8]], 192041783/2996494663680000],
[[[1, 17], [3, 4]], 2593/300987187200],
[[[1, 17], [5, 2]], 149/159252480000],
[[[1, 18], [2, 7]], 3109427/149824733184000],
[[[1, 19], [2, 6]], 30796999/6742112993280000],
[[[1, 19], [3, 3]], 11377/42138206208000],
[[[1, 19], [7, 1]], 1/292626432000],
[[[1, 20], [2, 5]], 101741/149824733184000],
[[[1, 21], [2, 4]], 173/2568423997440],
[[[1, 21], [3, 2]], 389/112368549888000],
[[[1, 21], [4, 2]], 1/149824733184000],
[[[1, 21], [5, 1]], 101/280921374720000],
[[[1, 22], [2, 3]], 29317/6742112993280000],
[[[1, 23], [2, 2]], 391/2247370997760000],
[[[1, 23], [3, 1]], 1/52672757760000],
[[[1, 24], [2, 1]], 1/256842399744000],
[[[2, 9], [10, 4]], 1/120000],
[[[2, 11], [6, 7]], 1/1679616],
[[[2, 13], [6, 6]], 29/67184640],
[[[2, 13], [10, 3]], 1363/1935360000],
[[[2, 13], [14, 2]], 1/54190080],
[[[2, 15], [6, 5]], 253/2508226560],
[[[2, 17], [6, 4]], 2593/300987187200],
[[[2, 17], [10, 2]], 149/159252480000],
[[[2, 19], [6, 3]], 11377/42138206208000],
[[[2, 19], [14, 1]], 1/292626432000],
[[[2, 21], [4, 2]], 1/149824733184000],
[[[2, 21], [6, 2]], 389/112368549888000],
[[[2, 21], [10, 1]], 101/280921374720000],
[[[2, 23], [6, 1]], 1/52672757760000],
[[[1, 1], [2, 8], [10, 4]], 1/24000],
[[[1, 1], [2, 10], [6, 7]], 1/559872],
[[[1, 1], [2, 12], [6, 6]], 91/22394880],
[[[1, 1], [2, 12], [10, 3]], 4153/387072000],
[[[1, 1], [2, 12], [14, 2]], 1/1548288],
[[[1, 1], [2, 14], [6, 5]], 1427/836075520],
[[[1, 1], [2, 16], [6, 4]], 23437/100329062400],
[[[1, 1], [2, 16], [10, 2]], 2237/55738368000],
[[[1, 1], [2, 18], [4, 3]], 1/89181388800],
[[[1, 1], [2, 18], [6, 3]], 39947/3511517184000],
[[[1, 1], [2, 18], [14, 1]], 73/334430208000],
[[[1, 1], [2, 20], [4, 2]], 11/21403533312000],
[[[1, 1], [2, 20], [6, 2]], 3959/18728091648000],
[[[1, 1], [2, 20], [8, 1]], 1/18728091648000],
[[[1, 1], [2, 20], [10, 1]], 733/28092137472000],
[[[1, 1], [2, 22], [4, 1]], 1/10701766656000],
[[[1, 1], [2, 22], [6, 1]], 439/280921374720000],
[[[1, 2], [2, 7], [10, 4]], 7/120000],
[[[1, 2], [2, 9], [6, 7]], 1/559872],
[[[1, 2], [2, 11], [6, 6]], 31/2799360],
[[[1, 2], [2, 11], [10, 3]], 25609/483840000],
[[[1, 2], [2, 11], [14, 2]], 11/1693440],
[[[1, 2], [2, 13], [6, 5]], 1061/104509440],
[[[1, 2], [2, 15], [4, 4]], 233/59454259200],
[[[1, 2], [2, 15], [6, 4]], 240031/100329062400],
[[[1, 2], [2, 15], [10, 2]], 345283/557383680000],
[[[1, 2], [2, 17], [4, 3]], 7/12740198400],
[[[1, 2], [2, 17], [6, 3]], 1302677/7023034368000],
[[[1, 2], [2, 17], [14, 1]], 1591/292626432000],
[[[1, 2], [2, 19], [3, 2]], 1/42138206208000],
[[[1, 2], [2, 19], [4, 2]], 1/11098128384],
[[[1, 2], [2, 19], [5, 1]], 1/11705057280000],
[[[1, 2], [2, 19], [6, 2]], 38659/7491236659200],
[[[1, 2], [2, 19], [8, 1]], 1/249707888640],
[[[1, 2], [2, 19], [10, 1]], 4373/5733089280000],
[[[1, 2], [2, 21], [3, 1]], 1/56184274944000],
[[[1, 2], [2, 21], [4, 1]], 1621/224737099776000],
[[[1, 2], [2, 21], [6, 1]], 14947/280921374720000],
[[[1, 3], [2, 6], [10, 4]], 1/40000],
[[[1, 3], [2, 8], [6, 7]], 1/1679616],
[[[1, 3], [2, 10], [6, 6]], 43/3359232],
[[[1, 3], [2, 10], [10, 3]], 109/960000],
[[[1, 3], [2, 10], [14, 2]], 31/1128960],
[[[1, 3], [2, 12], [4, 5]], 1/5898240],
[[[1, 3], [2, 12], [6, 5]], 16573/627056640],
[[[1, 3], [2, 14], [4, 4]], 6017/59454259200],
[[[1, 3], [2, 14], [6, 4]], 102041/8599633920],
[[[1, 3], [2, 14], [10, 2]], 420697/92897280000],
[[[1, 3], [2, 16], [4, 3]], 2633/89181388800],
[[[1, 3], [2, 16], [6, 3]], 462191/300987187200],
[[[1, 3], [2, 16], [14, 1]], 5371/78033715200],
[[[1, 3], [2, 18], [3, 2]], 1/561842749440],
[[[1, 3], [2, 18], [4, 2]], 150929/37456183296000],
[[[1, 3], [2, 18], [5, 1]], 1/156067430400],
[[[1, 3], [2, 18], [6, 2]], 1856231/28092137472000],
[[[1, 3], [2, 18], [8, 1]], 107/891813888000],
[[[1, 3], [2, 18], [10, 1]], 274609/23410114560000],
[[[1, 3], [2, 20], [3, 1]], 11/8026324992000],
[[[1, 3], [2, 20], [4, 1]], 8513/37456183296000],
[[[1, 3], [2, 20], [6, 1]], 41417/42138206208000],
[[[1, 4], [2, 9], [4, 6]], 1/1048576],
[[[1, 4], [2, 9], [5, 3]], 1/92160000],
[[[1, 4], [2, 9], [6, 6]], 29/4478976],
[[[1, 4], [2, 9], [7, 2]], 1/18063360],
[[[1, 4], [2, 9], [10, 3]], 23/204800],
[[[1, 4], [2, 9], [14, 2]], 5/86016],
[[[1, 4], [2, 11], [4, 5]], 23/11796480],
[[[1, 4], [2, 11], [6, 5]], 6109/179159040],
[[[1, 4], [2, 13], [4, 4]], 11527/6606028800],
[[[1, 4], [2, 13], [6, 4]], 308813/10032906240],
[[[1, 4], [2, 13], [10, 2]], 9517/550502400],
[[[1, 4], [2, 15], [4, 3]], 7853/12740198400],
[[[1, 4], [2, 15], [6, 3]], 947081/133772083200],
[[[1, 4], [2, 15], [14, 1]], 457/928972800],
[[[1, 4], [2, 17], [3, 2]], 107/2006581248000],
[[[1, 4], [2, 17], [4, 2]], 2277139/29964946636800],
[[[1, 4], [2, 17], [5, 1]], 107/557383680000],
[[[1, 4], [2, 17], [6, 2]], 55145689/112368549888000],
[[[1, 4], [2, 17], [8, 1]], 34933/18728091648000],
[[[1, 4], [2, 17], [10, 1]], 18671/178362777600],
[[[1, 4], [2, 19], [3, 1]], 899/21069103104000],
[[[1, 4], [2, 19], [4, 1]], 61457/16052649984000],
[[[1, 4], [2, 19], [6, 1]], 153119/14046068736000],
[[[1, 5], [2, 8], [4, 6]], 5/1048576],
[[[1, 5], [2, 8], [5, 3]], 97/276480000],
[[[1, 5], [2, 8], [6, 6]], 5/4478976],
[[[1, 5], [2, 8], [7, 2]], 97/54190080],
[[[1, 5], [2, 8], [10, 3]], 149/3072000],
[[[1, 5], [2, 8], [14, 2]], 41/602112],
[[[1, 5], [2, 10], [4, 5]], 103/7864320],
[[[1, 5], [2, 10], [6, 5]], 799/35831808],
[[[1, 5], [2, 12], [4, 4]], 833327/59454259200],
[[[1, 5], [2, 12], [5, 2]], 1/3538944000],
[[[1, 5], [2, 12], [6, 4]], 88211/2006581248],
[[[1, 5], [2, 12], [10, 2]], 22733/619315200],
[[[1, 5], [2, 14], [4, 3]], 36043/6370099200],
[[[1, 5], [2, 14], [6, 3]], 947281/50164531200],
[[[1, 5], [2, 14], [14, 1]], 108841/52022476800],
[[[1, 5], [2, 16], [3, 2]], 34933/42138206208000],
[[[1, 5], [2, 16], [4, 2]], 4098049/5549064192000],
[[[1, 5], [2, 16], [5, 1]], 34933/11705057280000],
[[[1, 5], [2, 16], [6, 2]], 709633/321052999680],
[[[1, 5], [2, 16], [8, 1]], 293/17836277760],
[[[1, 5], [2, 16], [10, 1]], 252761/445906944000],
[[[1, 5], [2, 18], [3, 1]], 1409/2006581248000],
[[[1, 5], [2, 18], [4, 1]], 2856137/74912366592000],
[[[1, 5], [2, 18], [6, 1]], 4277419/56184274944000],
[[[1, 6], [2, 3], [5, 4]], 1/40000],
[[[1, 6], [2, 7], [4, 6]], 5/524288],
[[[1, 6], [2, 7], [5, 3]], 1/345600],
[[[1, 6], [2, 7], [7, 2]], 5/338688],
[[[1, 6], [2, 7], [10, 3]], 649/69120000],
[[[1, 6], [2, 7], [14, 2]], 151/3386880],
[[[1, 6], [2, 9], [3, 5]], 1/1074954240],
[[[1, 6], [2, 9], [4, 5]], 1081/23592960],
[[[1, 6], [2, 9], [6, 5]], 917/134369280],
[[[1, 6], [2, 11], [3, 4]], 1/955514880],
[[[1, 6], [2, 11], [4, 4]], 483929/8493465600],
[[[1, 6], [2, 11], [5, 2]], 7/294912000],
[[[1, 6], [2, 11], [6, 4]], 754817/21499084800],
[[[1, 6], [2, 11], [10, 2]], 4206287/92897280000],
[[[1, 6], [2, 13], [4, 3]], 1183157/44590694400],
[[[1, 6], [2, 13], [6, 3]], 9001087/300987187200],
[[[1, 6], [2, 13], [7, 1]], 1/825753600],
[[[1, 6], [2, 13], [14, 1]], 50003/9144576000],
[[[1, 6], [2, 15], [3, 2]], 293/40131624960],
[[[1, 6], [2, 15], [4, 2]], 4342253/1070176665600],
[[[1, 6], [2, 15], [5, 1]], 293/11147673600],
[[[1, 6], [2, 15], [6, 2]], 8485063/1375941427200],
[[[1, 6], [2, 15], [8, 1]], 359/4246732800],
[[[1, 6], [2, 15], [10, 1]], 76568831/40131624960000],
[[[1, 6], [2, 17], [3, 1]], 75653/11236854988800],
[[[1, 6], [2, 17], [4, 1]], 7562893/32105299968000],
[[[1, 6], [2, 17], [6, 1]], 288787781/842764124160000],
[[[1, 7], [2, 2], [5, 4]], 7/120000],
[[[1, 7], [2, 6], [4, 6]], 5/524288],
[[[1, 7], [2, 6], [5, 3]], 649/69120000],
[[[1, 7], [2, 6], [7, 2]], 151/3386880],
[[[1, 7], [2, 6], [10, 3]], 1/345600],
[[[1, 7], [2, 6], [14, 2]], 5/338688],
[[[1, 7], [2, 8], [3, 5]], 11/358318080],
[[[1, 7], [2, 8], [4, 5]], 31/368640],
[[[1, 7], [2, 8], [6, 5]], 23/29859840],
[[[1, 7], [2, 10], [3, 4]], 109/2866544640],
[[[1, 7], [2, 10], [4, 4]], 533081/3963617280],
[[[1, 7], [2, 10], [5, 2]], 197/353894400],
[[[1, 7], [2, 10], [6, 4]], 36451/2388787200],
[[[1, 7], [2, 10], [10, 2]], 104563/3096576000],
[[[1, 7], [2, 12], [3, 3]], 31/11466178560],
[[[1, 7], [2, 12], [4, 3]], 899039/12740198400],
[[[1, 7], [2, 12], [6, 3]], 475679/16721510400],
[[[1, 7], [2, 12], [7, 1]], 41/928972800],
[[[1, 7], [2, 12], [14, 1]], 5258299/585252864000],
[[[1, 7], [2, 14], [3, 2]], 1153/30576476160],
[[[1, 7], [2, 14], [4, 2]], 526571/39636172800],
[[[1, 7], [2, 14], [5, 1]], 1153/8493465600],
[[[1, 7], [2, 14], [6, 2]], 1447249/133772083200],
[[[1, 7], [2, 14], [8, 1]], 22763/89181388800],
[[[1, 7], [2, 14], [10, 1]], 4086751/1003290624000],
[[[1, 7], [2, 16], [3, 1]], 6630403/168552824832000],
[[[1, 7], [2, 16], [4, 1]], 7437323/8026324992000],
[[[1, 7], [2, 16], [6, 1]], 23550487/23410114560000],
[[[1, 7], [3, 1], [5, 4]], 1/60000],
[[[1, 7], [3, 3], [5, 3]], 1/216000],
[[[1, 7], [3, 3], [7, 2]], 1/42336],
[[[1, 7], [5, 3], [7, 1]], 1/28000],
[[[1, 8], [2, 1], [5, 4]], 1/24000],
[[[1, 8], [2, 3], [3, 7]], 1/1679616],
[[[1, 8], [2, 5], [3, 6]], 5/4478976],
[[[1, 8], [2, 5], [4, 6]], 5/1048576],
[[[1, 8], [2, 5], [5, 3]], 149/3072000],
[[[1, 8], [2, 5], [7, 2]], 41/602112],
[[[1, 8], [2, 5], [10, 3]], 97/276480000],
[[[1, 8], [2, 5], [14, 2]], 97/54190080],
[[[1, 8], [2, 7], [3, 5]], 23/29859840],
[[[1, 8], [2, 7], [4, 5]], 31/368640],
[[[1, 8], [2, 7], [6, 5]], 11/358318080],
[[[1, 8], [2, 9], [3, 4]], 3581/8599633920],
[[[1, 8], [2, 9], [4, 4]], 57209/283115520],
[[[1, 8], [2, 9], [5, 2]], 58673/13271040000],
[[[1, 8], [2, 9], [6, 4]], 48853/14332723200],
[[[1, 8], [2, 9], [10, 2]], 1950037/123863040000],
[[[1, 8], [2, 11], [3, 3]], 89/955514880],
[[[1, 8], [2, 11], [4, 3]], 3508513/29727129600],
[[[1, 8], [2, 11], [6, 3]], 239501/14863564800],
[[[1, 8], [2, 11], [7, 1]], 1807/3715891200],
[[[1, 8], [2, 11], [14, 1]], 2746561/292626432000],
[[[1, 8], [2, 13], [3, 2]], 193003/1605264998400],
[[[1, 8], [2, 13], [4, 2]], 144957139/5350883328000],
[[[1, 8], [2, 13], [5, 1]], 190231/445906944000],
[[[1, 8], [2, 13], [6, 2]], 38651549/3210529996800],
[[[1, 8], [2, 13], [8, 1]], 4441/9909043200],
[[[1, 8], [2, 13], [10, 1]], 225744017/40131624960000],
[[[1, 8], [2, 15], [3, 1]], 57557/401316249600],
[[[1, 8], [2, 15], [4, 1]], 18957391/8026324992000],
[[[1, 8], [2, 15], [6, 1]], 546061487/280921374720000],
[[[1, 9], [2, 2], [3, 7]], 1/559872],
[[[1, 9], [2, 4], [3, 6]], 29/4478976],
[[[1, 9], [2, 4], [4, 6]], 1/1048576],
[[[1, 9], [2, 4], [5, 3]], 23/204800],
[[[1, 9], [2, 4], [7, 2]], 5/86016],
[[[1, 9], [2, 4], [10, 3]], 1/92160000],
[[[1, 9], [2, 4], [14, 2]], 1/18063360],
[[[1, 9], [2, 6], [3, 5]], 917/134369280],
[[[1, 9], [2, 6], [4, 5]], 1081/23592960],
[[[1, 9], [2, 6], [6, 5]], 1/1074954240],
[[[1, 9], [2, 8], [3, 4]], 48853/14332723200],
[[[1, 9], [2, 8], [4, 4]], 57209/283115520],
[[[1, 9], [2, 8], [5, 2]], 1950037/123863040000],
[[[1, 9], [2, 8], [6, 4]], 3581/8599633920],
[[[1, 9], [2, 8], [10, 2]], 58673/13271040000],
[[[1, 9], [2, 10], [3, 3]], 27929/28665446400],
[[[1, 9], [2, 10], [4, 3]], 11203/78643200],
[[[1, 9], [2, 10], [6, 3]], 318467/60197437440],
[[[1, 9], [2, 10], [7, 1]], 737/309657600],
[[[1, 9], [2, 10], [14, 1]], 958583/156067430400],
[[[1, 9], [2, 12], [3, 2]], 337019/1070176665600],
[[[1, 9], [2, 12], [4, 2]], 197372783/5350883328000],
[[[1, 9], [2, 12], [5, 1]], 54871/59454259200],
[[[1, 9], [2, 12], [6, 2]], 8173579/963158999040],
[[[1, 9], [2, 12], [8, 1]], 637/1415577600],
[[[1, 9], [2, 12], [10, 1]], 4924009/955514880000],
[[[1, 9], [2, 14], [3, 1]], 1327/3963617280],
[[[1, 9], [2, 14], [4, 1]], 7998131/2006581248000],
[[[1, 9], [2, 14], [6, 1]], 15008353/6019743744000],
[[[1, 9], [3, 2], [5, 3]], 11/288000],
[[[1, 9], [3, 2], [7, 2]], 1/56448],
[[[1, 9], [3, 4], [5, 2]], 23/1555200],
[[[1, 9], [3, 5], [7, 1]], 5/653184],
[[[1, 9], [3, 5], [9, 1]], 1/93312],
[[[1, 9], [3, 6], [5, 1]], 1/699840],
[[[1, 9], [4, 2], [5, 3]], 1/1536000],
[[[1, 9], [4, 2], [7, 2]], 1/301056],
[[[1, 9], [5, 1], [7, 2]], 1/23520],
[[[1, 10], [2, 1], [3, 7]], 1/559872],
[[[1, 10], [2, 3], [3, 6]], 43/3359232],
[[[1, 10], [2, 3], [5, 3]], 109/960000],
[[[1, 10], [2, 3], [7, 2]], 31/1128960],
[[[1, 10], [2, 5], [3, 5]], 799/35831808],
[[[1, 10], [2, 5], [4, 5]], 103/7864320],
[[[1, 10], [2, 7], [3, 4]], 36451/2388787200],
[[[1, 10], [2, 7], [4, 4]], 533081/3963617280],
[[[1, 10], [2, 7], [5, 2]], 104563/3096576000],
[[[1, 10], [2, 7], [6, 4]], 109/2866544640],
[[[1, 10], [2, 7], [10, 2]], 197/353894400],
[[[1, 10], [2, 9], [3, 3]], 318467/60197437440],
[[[1, 10], [2, 9], [4, 3]], 11203/78643200],
[[[1, 10], [2, 9], [6, 3]], 27929/28665446400],
[[[1, 10], [2, 9], [7, 1]], 958583/156067430400],
[[[1, 10], [2, 9], [14, 1]], 737/309657600],
[[[1, 10], [2, 11], [3, 2]], 4739/4246732800],
[[[1, 10], [2, 11], [4, 2]], 104019257/2675441664000],
[[[1, 10], [2, 11], [5, 1]], 56309/31850496000],
[[[1, 10], [2, 11], [6, 2]], 4034567/1070176665600],
[[[1, 10], [2, 11], [8, 1]], 83/283115520],
[[[1, 10], [2, 11], [10, 1]], 593249/178362777600],
[[[1, 10], [2, 13], [3, 1]], 156143/286654464000],
[[[1, 10], [2, 13], [4, 1]], 3139501/668860416000],
[[[1, 10], [2, 13], [6, 1]], 2476433/1146617856000],
[[[1, 11], [2, 2], [3, 6]], 31/2799360],
[[[1, 11], [2, 2], [5, 3]], 25609/483840000],
[[[1, 11], [2, 2], [7, 2]], 11/1693440],
[[[1, 11], [2, 4], [3, 5]], 6109/179159040],
[[[1, 11], [2, 4], [4, 5]], 23/11796480],
[[[1, 11], [2, 6], [3, 4]], 754817/21499084800],
[[[1, 11], [2, 6], [4, 4]], 483929/8493465600],
[[[1, 11], [2, 6], [5, 2]], 4206287/92897280000],
[[[1, 11], [2, 6], [6, 4]], 1/955514880],
[[[1, 11], [2, 6], [10, 2]], 7/294912000],
[[[1, 11], [2, 8], [3, 3]], 239501/14863564800],
[[[1, 11], [2, 8], [4, 3]], 3508513/29727129600],
[[[1, 11], [2, 8], [6, 3]], 89/955514880],
[[[1, 11], [2, 8], [7, 1]], 2746561/292626432000],
[[[1, 11], [2, 8], [14, 1]], 1807/3715891200],
[[[1, 11], [2, 10], [3, 2]], 4034567/1070176665600],
[[[1, 11], [2, 10], [4, 2]], 104019257/2675441664000],
[[[1, 11], [2, 10], [5, 1]], 593249/178362777600],
[[[1, 11], [2, 10], [6, 2]], 4739/4246732800],
[[[1, 11], [2, 10], [8, 1]], 83/283115520],
[[[1, 11], [2, 10], [10, 1]], 56309/31850496000],
[[[1, 11], [2, 12], [3, 1]], 2151511/2675441664000],
[[[1, 11], [2, 12], [4, 1]], 12025337/2675441664000],
[[[1, 11], [2, 12], [6, 1]], 913007/668860416000],
[[[1, 11], [3, 1], [5, 3]], 763/46080000],
[[[1, 11], [3, 1], [7, 2]], 3/1003520],
[[[1, 11], [3, 3], [5, 2]], 713/31104000],
[[[1, 11], [3, 4], [7, 1]], 19/3265920],
[[[1, 11], [3, 4], [9, 1]], 7/1866240],
[[[1, 11], [3, 5], [4, 2]], 1/5971968],
[[[1, 11], [3, 5], [5, 1]], 13/1866240],
[[[1, 11], [5, 2], [7, 1]], 119/9216000],
[[[1, 12], [2, 1], [3, 6]], 91/22394880],
[[[1, 12], [2, 1], [5, 3]], 4153/387072000],
[[[1, 12], [2, 1], [7, 2]], 1/1548288],
[[[1, 12], [2, 3], [3, 5]], 16573/627056640],
[[[1, 12], [2, 3], [4, 5]], 1/5898240],
[[[1, 12], [2, 5], [3, 4]], 88211/2006581248],
[[[1, 12], [2, 5], [4, 4]], 833327/59454259200],
[[[1, 12], [2, 5], [5, 2]], 22733/619315200],
[[[1, 12], [2, 5], [10, 2]], 1/3538944000],
[[[1, 12], [2, 7], [3, 3]], 475679/16721510400],
[[[1, 12], [2, 7], [4, 3]], 899039/12740198400],
[[[1, 12], [2, 7], [6, 3]], 31/11466178560],
[[[1, 12], [2, 7], [7, 1]], 5258299/585252864000],
[[[1, 12], [2, 7], [14, 1]], 41/928972800],
[[[1, 12], [2, 9], [3, 2]], 8173579/963158999040],
[[[1, 12], [2, 9], [4, 2]], 197372783/5350883328000],
[[[1, 12], [2, 9], [5, 1]], 4924009/955514880000],
[[[1, 12], [2, 9], [6, 2]], 337019/1070176665600],
[[[1, 12], [2, 9], [8, 1]], 637/1415577600],
[[[1, 12], [2, 9], [10, 1]], 54871/59454259200],
[[[1, 12], [2, 11], [3, 1]], 913007/668860416000],
[[[1, 12], [2, 11], [4, 1]], 12025337/2675441664000],
[[[1, 12], [2, 11], [6, 1]], 2151511/2675441664000],
[[[1, 13], [2, 2], [3, 5]], 1061/104509440],
[[[1, 13], [2, 4], [3, 4]], 308813/10032906240],
[[[1, 13], [2, 4], [4, 4]], 11527/6606028800],
[[[1, 13], [2, 4], [5, 2]], 9517/550502400],
[[[1, 13], [2, 6], [3, 3]], 9001087/300987187200],
[[[1, 13], [2, 6], [4, 3]], 1183157/44590694400],
[[[1, 13], [2, 6], [7, 1]], 50003/9144576000],
[[[1, 13], [2, 6], [14, 1]], 1/825753600],
[[[1, 13], [2, 8], [3, 2]], 38651549/3210529996800],
[[[1, 13], [2, 8], [4, 2]], 144957139/5350883328000],
[[[1, 13], [2, 8], [5, 1]], 225744017/40131624960000],
[[[1, 13], [2, 8], [6, 2]], 193003/1605264998400],
[[[1, 13], [2, 8], [8, 1]], 4441/9909043200],
[[[1, 13], [2, 8], [10, 1]], 190231/445906944000],
[[[1, 13], [2, 10], [3, 1]], 2476433/1146617856000],
[[[1, 13], [2, 10], [4, 1]], 3139501/668860416000],
[[[1, 13], [2, 10], [6, 1]], 156143/286654464000],
[[[1, 13], [3, 2], [5, 2]], 9463/2322432000],
[[[1, 13], [3, 3], [7, 1]], 3671/2926264320],
[[[1, 13], [3, 3], [9, 1]], 41/139345920],
[[[1, 13], [3, 4], [4, 2]], 19/238878720],
[[[1, 13], [3, 4], [5, 1]], 337/116121600],
[[[1, 13], [4, 2], [5, 2]], 113/2064384000],
[[[1, 14], [2, 1], [3, 5]], 1427/836075520],
[[[1, 14], [2, 3], [3, 4]], 102041/8599633920],
[[[1, 14], [2, 3], [4, 4]], 6017/59454259200],
[[[1, 14], [2, 3], [5, 2]], 420697/92897280000],
[[[1, 14], [2, 5], [3, 3]], 947281/50164531200],
[[[1, 14], [2, 5], [4, 3]], 36043/6370099200],
[[[1, 14], [2, 5], [7, 1]], 108841/52022476800],
[[[1, 14], [2, 7], [3, 2]], 1447249/133772083200],
[[[1, 14], [2, 7], [4, 2]], 526571/39636172800],
[[[1, 14], [2, 7], [5, 1]], 4086751/1003290624000],
[[[1, 14], [2, 7], [6, 2]], 1153/30576476160],
[[[1, 14], [2, 7], [8, 1]], 22763/89181388800],
[[[1, 14], [2, 7], [10, 1]], 1153/8493465600],
[[[1, 14], [2, 9], [3, 1]], 15008353/6019743744000],
[[[1, 14], [2, 9], [4, 1]], 7998131/2006581248000],
[[[1, 14], [2, 9], [6, 1]], 1327/3963617280],
[[[1, 15], [2, 2], [3, 4]], 240031/100329062400],
[[[1, 15], [2, 2], [4, 4]], 233/59454259200],
[[[1, 15], [2, 2], [5, 2]], 345283/557383680000],
[[[1, 15], [2, 4], [3, 3]], 947081/133772083200],
[[[1, 15], [2, 4], [4, 3]], 7853/12740198400],
[[[1, 15], [2, 4], [7, 1]], 457/928972800],
[[[1, 15], [2, 6], [3, 2]], 8485063/1375941427200],
[[[1, 15], [2, 6], [4, 2]], 4342253/1070176665600],
[[[1, 15], [2, 6], [5, 1]], 76568831/40131624960000],
[[[1, 15], [2, 6], [6, 2]], 293/40131624960],
[[[1, 15], [2, 6], [8, 1]], 359/4246732800],
[[[1, 15], [2, 6], [10, 1]], 293/11147673600],
[[[1, 15], [2, 8], [3, 1]], 546061487/280921374720000],
[[[1, 15], [2, 8], [4, 1]], 18957391/8026324992000],
[[[1, 15], [2, 8], [6, 1]], 57557/401316249600],
[[[1, 15], [3, 1], [5, 2]], 10561/69672960000],
[[[1, 15], [3, 2], [7, 1]], 877/11705057280],
[[[1, 15], [3, 2], [9, 1]], 17/4180377600],
[[[1, 15], [3, 3], [4, 2]], 11/1337720832],
[[[1, 15], [3, 3], [5, 1]], 5917/17915904000],
[[[1, 15], [4, 2], [7, 1]], 1/1625702400],
[[[1, 15], [5, 1], [7, 1]], 73/5419008000],
[[[1, 16], [2, 1], [3, 4]], 23437/100329062400],
[[[1, 16], [2, 1], [5, 2]], 2237/55738368000],
[[[1, 16], [2, 3], [3, 3]], 462191/300987187200],
[[[1, 16], [2, 3], [4, 3]], 2633/89181388800],
[[[1, 16], [2, 3], [7, 1]], 5371/78033715200],
[[[1, 16], [2, 5], [3, 2]], 709633/321052999680],
[[[1, 16], [2, 5], [4, 2]], 4098049/5549064192000],
[[[1, 16], [2, 5], [5, 1]], 252761/445906944000],
[[[1, 16], [2, 5], [6, 2]], 34933/42138206208000],
[[[1, 16], [2, 5], [8, 1]], 293/17836277760],
[[[1, 16], [2, 5], [10, 1]], 34933/11705057280000],
[[[1, 16], [2, 7], [3, 1]], 23550487/23410114560000],
[[[1, 16], [2, 7], [4, 1]], 7437323/8026324992000],
[[[1, 16], [2, 7], [6, 1]], 6630403/168552824832000],
[[[1, 17], [2, 2], [3, 3]], 1302677/7023034368000],
[[[1, 17], [2, 2], [4, 3]], 7/12740198400],
[[[1, 17], [2, 2], [7, 1]], 1591/292626432000],
[[[1, 17], [2, 4], [3, 2]], 55145689/112368549888000],
[[[1, 17], [2, 4], [4, 2]], 2277139/29964946636800],
[[[1, 17], [2, 4], [5, 1]], 18671/178362777600],
[[[1, 17], [2, 4], [6, 2]], 107/2006581248000],
[[[1, 17], [2, 4], [8, 1]], 34933/18728091648000],
[[[1, 17], [2, 4], [10, 1]], 107/557383680000],
[[[1, 17], [2, 6], [3, 1]], 288787781/842764124160000],
[[[1, 17], [2, 6], [4, 1]], 7562893/32105299968000],
[[[1, 17], [2, 6], [6, 1]], 75653/11236854988800],
[[[1, 17], [3, 1], [7, 1]], 451/468202291200],
[[[1, 17], [3, 1], [9, 1]], 1/66886041600],
[[[1, 17], [3, 2], [4, 2]], 13/53508833280],
[[[1, 17], [3, 2], [5, 1]], 233/20901888000],
[[[1, 17], [4, 2], [5, 1]], 11/222953472000],
[[[1, 18], [2, 1], [3, 3]], 39947/3511517184000],
[[[1, 18], [2, 1], [4, 3]], 1/89181388800],
[[[1, 18], [2, 1], [7, 1]], 73/334430208000],
[[[1, 18], [2, 3], [3, 2]], 1856231/28092137472000],
[[[1, 18], [2, 3], [4, 2]], 150929/37456183296000],
[[[1, 18], [2, 3], [5, 1]], 274609/23410114560000],
[[[1, 18], [2, 3], [6, 2]], 1/561842749440],
[[[1, 18], [2, 3], [8, 1]], 107/891813888000],
[[[1, 18], [2, 3], [10, 1]], 1/156067430400],
[[[1, 18], [2, 5], [3, 1]], 4277419/56184274944000],
[[[1, 18], [2, 5], [4, 1]], 2856137/74912366592000],
[[[1, 18], [2, 5], [6, 1]], 1409/2006581248000],
[[[1, 19], [2, 2], [3, 2]], 38659/7491236659200],
[[[1, 19], [2, 2], [4, 2]], 1/11098128384],
[[[1, 19], [2, 2], [5, 1]], 4373/5733089280000],
[[[1, 19], [2, 2], [6, 2]], 1/42138206208000],
[[[1, 19], [2, 2], [8, 1]], 1/249707888640],
[[[1, 19], [2, 2], [10, 1]], 1/11705057280000],
[[[1, 19], [2, 4], [3, 1]], 153119/14046068736000],
[[[1, 19], [2, 4], [4, 1]], 61457/16052649984000],
[[[1, 19], [2, 4], [6, 1]], 899/21069103104000],
[[[1, 19], [3, 1], [4, 2]], 11/4682022912000],
[[[1, 19], [3, 1], [5, 1]], 451/3901685760000],
[[[1, 19], [4, 1], [8, 1]], 1/18728091648000],
[[[1, 20], [2, 1], [3, 2]], 3959/18728091648000],
[[[1, 20], [2, 1], [4, 2]], 11/21403533312000],
[[[1, 20], [2, 1], [5, 1]], 733/28092137472000],
[[[1, 20], [2, 1], [8, 1]], 1/18728091648000],
[[[1, 20], [2, 3], [3, 1]], 41417/42138206208000],
[[[1, 20], [2, 3], [4, 1]], 8513/37456183296000],
[[[1, 20], [2, 3], [6, 1]], 11/8026324992000],
[[[1, 21], [2, 2], [3, 1]], 14947/280921374720000],
[[[1, 21], [2, 2], [4, 1]], 1621/224737099776000],
[[[1, 21], [2, 2], [6, 1]], 1/56184274944000],
[[[1, 22], [2, 1], [3, 1]], 439/280921374720000],
[[[1, 22], [2, 1], [4, 1]], 1/10701766656000],
[[[2, 7], [6, 1], [10, 4]], 1/60000],
[[[2, 7], [6, 3], [10, 3]], 1/216000],
[[[2, 7], [6, 3], [14, 2]], 1/42336],
[[[2, 7], [10, 3], [14, 1]], 1/28000],
[[[2, 9], [4, 2], [10, 3]], 1/1536000],
[[[2, 9], [4, 2], [14, 2]], 1/301056],
[[[2, 9], [6, 2], [10, 3]], 11/288000],
[[[2, 9], [6, 2], [14, 2]], 1/56448],
[[[2, 9], [6, 4], [10, 2]], 23/1555200],
[[[2, 9], [6, 5], [14, 1]], 5/653184],
[[[2, 9], [6, 5], [18, 1]], 1/93312],
[[[2, 9], [6, 6], [10, 1]], 1/699840],
[[[2, 9], [10, 1], [14, 2]], 1/23520],
[[[2, 11], [4, 2], [6, 5]], 1/5971968],
[[[2, 11], [6, 1], [10, 3]], 763/46080000],
[[[2, 11], [6, 1], [14, 2]], 3/1003520],
[[[2, 11], [6, 3], [10, 2]], 713/31104000],
[[[2, 11], [6, 4], [14, 1]], 19/3265920],
[[[2, 11], [6, 4], [18, 1]], 7/1866240],
[[[2, 11], [6, 5], [10, 1]], 13/1866240],
[[[2, 11], [10, 2], [14, 1]], 119/9216000],
[[[2, 13], [4, 2], [6, 4]], 19/238878720],
[[[2, 13], [4, 2], [10, 2]], 113/2064384000],
[[[2, 13], [6, 2], [10, 2]], 9463/2322432000],
[[[2, 13], [6, 3], [14, 1]], 3671/2926264320],
[[[2, 13], [6, 3], [18, 1]], 41/139345920],
[[[2, 13], [6, 4], [10, 1]], 337/116121600],
[[[2, 15], [4, 2], [6, 3]], 11/1337720832],
[[[2, 15], [4, 2], [14, 1]], 1/1625702400],
[[[2, 15], [6, 1], [10, 2]], 10561/69672960000],
[[[2, 15], [6, 2], [14, 1]], 877/11705057280],
[[[2, 15], [6, 2], [18, 1]], 17/4180377600],
[[[2, 15], [6, 3], [10, 1]], 5917/17915904000],
[[[2, 15], [10, 1], [14, 1]], 73/5419008000],
[[[2, 17], [4, 2], [6, 2]], 13/53508833280],
[[[2, 17], [4, 2], [10, 1]], 11/222953472000],
[[[2, 17], [6, 1], [14, 1]], 451/468202291200],
[[[2, 17], [6, 1], [18, 1]], 1/66886041600],
[[[2, 17], [6, 2], [10, 1]], 233/20901888000],
[[[2, 19], [4, 1], [8, 1]], 1/18728091648000],
[[[2, 19], [4, 2], [6, 1]], 11/4682022912000],
[[[2, 19], [6, 1], [10, 1]], 451/3901685760000],
[[[1, 1], [2, 6], [6, 1], [10, 4]], 1/30000],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 1/108000],
[[[1, 1], [2, 6], [6, 3], [14, 2]], 1/21168],
[[[1, 1], [2, 6], [10, 3], [14, 1]], 1/14000],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 7/1536000],
[[[1, 1], [2, 8], [4, 2], [14, 2]], 1/43008],
[[[1, 1], [2, 8], [5, 1], [10, 3]], 1/24000],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 1/8000],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 1/9408],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 61/1555200],
[[[1, 1], [2, 8], [6, 5], [14, 1]], 13/653184],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 1/31104],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 1/349920],
[[[1, 1], [2, 8], [8, 1], [10, 3]], 1/192000],
[[[1, 1], [2, 8], [8, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 1/4704],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 1/93312],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/248832],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 61/2304000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 1/64512],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 5/5971968],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 7/7962624],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 3/1638400],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 331/2880000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 19/564480],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 3931/31104000],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 587/13063680],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 23/622080],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1/746496],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 7/233280],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 233/2016000],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 1/186624],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 13/2985984],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 221/238878720],
[[[1, 1], [2, 12], [4, 2], [8, 2]], 23/1857945600],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 121/129024000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 53/79626240],
[[[1, 1], [2, 12], [4, 3], [14, 1]], 1/3440640],
[[[1, 1], [2, 12], [5, 1], [10, 2]], 19/387072000],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 120923/2322432000],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 51757/2926264320],
[[[1, 1], [2, 12], [6, 3], [18, 1]], 263/46448640],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 19/29859840],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 341/10886400],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 113/258048000],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 13/17418240],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 613/477757440],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 1327/2064384000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 37/209018880],
[[[1, 1], [2, 14], [4, 2], [14, 1]], 41/1857945600],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 227/2972712960],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 23/14863564800],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 73/2477260800],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 125551/34836480000],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 10429/5852528640],
[[[1, 1], [2, 14], [6, 2], [18, 1]], 109/696729600],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 11/167215104],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 406459/62705664000],
[[[1, 1], [2, 14], [8, 1], [14, 1]], 1/203212800],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 1313/2709504000],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 527/16721510400],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 113/955514880],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 1/222953472],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 47/5350883328],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 1/11147673600],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 241/111476736000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 11/5573836800],
[[[1, 1], [2, 16], [5, 1], [10, 1]], 1/74317824000],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 961/23410114560],
[[[1, 1], [2, 16], [6, 1], [18, 1]], 1/1114767360],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 13/6688604160],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 2183/5971968000],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 11/27869184000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 1693/4682022912000],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 63013/18728091648000],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 59/4682022912000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 719/1337720832000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 151/1170505728000],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 11/585252864000],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 23197/3901685760000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/28092137472000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/832359628800],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 299/9364045824000],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 1/8192],
[[[1, 2], [2, 5], [6, 1], [10, 4]], 1/60000],
[[[1, 2], [2, 5], [6, 3], [10, 3]], 1/216000],
[[[1, 2], [2, 5], [6, 3], [14, 2]], 1/42336],
[[[1, 2], [2, 5], [10, 3], [14, 1]], 1/28000],
[[[1, 2], [2, 7], [3, 2], [10, 3]], 1/432000],
[[[1, 2], [2, 7], [3, 2], [14, 2]], 1/84672],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/51200],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 3/50176],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 1/65536],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 1/1638400],
[[[1, 2], [2, 7], [5, 1], [10, 3]], 13/60000],
[[[1, 2], [2, 7], [5, 1], [14, 2]], 1/23520],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 1/7200],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 5/28224],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 53/1555200],
[[[1, 2], [2, 7], [6, 5], [14, 1]], 11/653184],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 1/31104],
[[[1, 2], [2, 7], [6, 6], [10, 1]], 1/699840],
[[[1, 2], [2, 7], [8, 1], [10, 3]], 1/38400],
[[[1, 2], [2, 7], [8, 1], [14, 2]], 5/37632],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 1/3360],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 1/31104],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/576000],
[[[1, 2], [2, 9], [3, 1], [14, 2]], 1/112896],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 25/419904],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 23/2239488],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 341/2304000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 53/451584],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 11/995328],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 31/7962624],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 1/184320],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 11/819200],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 7/5308416],
[[[1, 2], [2, 9], [4, 4], [14, 1]], 1/344064],
[[[1, 2], [2, 9], [5, 1], [6, 5]], 1/466560],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 1/3750],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 1/7840],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 473/1944000],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 167/1632960],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 1/9720],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 1/248832],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 7/155520],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 83/252000],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 115/2239488],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 59/3359232],
[[[1, 2], [2, 11], [3, 2], [10, 2]], 113/580608000],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 95/2985984],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 1499/79626240],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 251/530841600],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 1283/45875200],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 241/39813120],
[[[1, 2], [2, 11], [4, 3], [14, 1]], 1/245760],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 25/14155776],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 1/1474560],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 7/6553600],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 19/18662400],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 4381/1935360000],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 24851/116121600],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 63671/731566080],
[[[1, 2], [2, 11], [6, 3], [18, 1]], 431/11612160],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 61/9953280],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 27787/261273600],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 19/2867200],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 2077/156764160],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 113/774144000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 8293/7524679680],
[[[1, 2], [2, 13], [3, 2], [14, 1]], 1/457228800],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 58699/3344302080],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 23/1857945600],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 37613/3096576000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 767/106168320],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 397/240844800],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 251/185794560],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 137/1651507200],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 97/154828800],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 53/247726080],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 11/104509440],
[[[1, 2], [2, 13], [5, 1], [14, 1]], 1/127008000],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 2099161/69672960000],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 36887/2341011456],
[[[1, 2], [2, 13], [6, 2], [18, 1]], 2879/1393459200],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 179/139345920],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 806407/17915904000],
[[[1, 2], [2, 13], [8, 1], [14, 1]], 271/1625702400],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 4429/774144000],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 46631/50164531200],
[[[1, 2], [2, 15], [3, 1], [14, 1]], 1/609638400],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 347/42998169600],
[[[1, 2], [2, 15], [3, 2], [10, 1]], 11/62705664000],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 27137/10032906240],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 841/4877107200],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 15587/22295347200],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 113/7431782400],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 851/3715891200],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 1361/22295347200],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 13/4180377600],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 401/278691840000],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 5987/9364045824],
[[[1, 2], [2, 15], [6, 1], [18, 1]], 227/11147673600],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 37/557383680],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 3109/696729600],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 23/1393459200],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 1/16721510400],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 31151/1755758592000],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 11/83607552000],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 11/1316818944000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 584489/4682022912000],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 493/668860416000],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 8371/334430208000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 13031/780337152000],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 11/365783040000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 97/97542144000],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 688339/5852528640000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 1/374561832960],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 709/8026324992000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 8359/4682022912000],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 3/8192],
[[[1, 3], [2, 6], [3, 2], [10, 3]], 1/86400],
[[[1, 3], [2, 6], [3, 2], [14, 2]], 5/84672],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 1/8192],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 23/768000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 11/150528],
[[[1, 3], [2, 6], [4, 4], [5, 2]], 1/1638400],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 9/65536],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 1/409600],
[[[1, 3], [2, 6], [5, 1], [10, 3]], 1/3000],
[[[1, 3], [2, 6], [5, 1], [14, 2]], 1/4704],
[[[1, 3], [2, 6], [5, 2], [10, 2]], 1/6000],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 1/18000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 1/9408],
[[[1, 3], [2, 6], [6, 4], [10, 2]], 1/103680],
[[[1, 3], [2, 6], [6, 5], [14, 1]], 1/217728],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 1/93312],
[[[1, 3], [2, 6], [8, 1], [10, 3]], 7/192000],
[[[1, 3], [2, 6], [8, 1], [14, 2]], 1/5376],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 1/7840],
[[[1, 3], [2, 8], [3, 1], [5, 3]], 1/138240000],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 1/31104],
[[[1, 3], [2, 8], [3, 1], [7, 2]], 1/27095040],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 7/576000],
[[[1, 3], [2, 8], [3, 1], [14, 2]], 1/16128],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 25/139968],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 29/279936],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 19/2239488],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 289/1152000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 73/225792],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 67/2985984],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 61/3981312],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 181/1474560],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 287/4915200],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 7/1327104],
[[[1, 3], [2, 8], [4, 4], [14, 1]], 11/688128],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 1/2359296],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 1/131072],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 1/655360],
[[[1, 3], [2, 8], [5, 1], [6, 5]], 1/155520],
[[[1, 3], [2, 8], [5, 2], [7, 1]], 1/64512000],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 151/576000],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 23/112896],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 107/518400],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 1/10368],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 11/93312],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 1/248832],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 13/466560],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 33/89600],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 317/2239488],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 97/559872],
[[[1, 3], [2, 10], [3, 2], [10, 2]], 19/6451200],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 13/933120],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 317/4478976],
[[[1, 3], [2, 10], [4, 2], [5, 2]], 1/294912000],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 22607/238878720],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 44641/3715891200],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 47471/258048000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 3343/79626240],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 353/10321920],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 89/7077888],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 3/327680],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 97/9830400],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 1/589824],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 61/6220800],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 349/13824000],
[[[1, 3], [2, 10], [5, 2], [10, 1]], 11/129024000],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 677/1728000],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 409/2177280],
[[[1, 3], [2, 10], [6, 3], [18, 1]], 1/9720],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 7/414720],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 5/31104],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 2777/86016000],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 25687/313528320],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 121/48384000],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 10631/501645312],
[[[1, 3], [2, 12], [3, 2], [14, 1]], 271/3657830400],
[[[1, 3], [2, 12], [3, 3], [6, 2]], 19/209018880],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 104807/1254113280],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 103/265420800],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 23393/294912000],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 57307/836075520],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 285167/13005619200],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 11903/594542592],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 841/185794560],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 9883/825753600],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 379/123863040],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 179/87091200],
[[[1, 3], [2, 12], [5, 1], [14, 1]], 271/1016064000],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 4709/41472000],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 127/1905120],
[[[1, 3], [2, 12], [6, 2], [18, 1]], 649/52254720],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 2327/278691840],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 18407/130636800],
[[[1, 3], [2, 12], [8, 1], [14, 1]], 31/16588800],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 1027/33868800],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 233/11147673600],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 514819/50164531200],
[[[1, 3], [2, 14], [3, 1], [14, 1]], 41/696729600],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 37349/100329062400],
[[[1, 3], [2, 14], [3, 2], [10, 1]], 23/3135283200],
[[[1, 3], [2, 14], [3, 3], [6, 1]], 17/25082265600],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 460801/20065812480],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 90263/39016857600],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 1571939/133772083200],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 103/206438400],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 74899/15925248000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 2087/1114767360],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 37/348364800],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 4987/111476736000],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 63479/13005619200],
[[[1, 3], [2, 14], [6, 1], [18, 1]], 3757/16721510400],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 181/222953472],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 1099111/41803776000],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 3481/13934592000],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 47/16721510400],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 2312137/7023034368000],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 241/41803776000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 1/25082265600],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 3337/3511517184000],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 1/6967296000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 49407437/28092137472000],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 115333/6242697216000],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 291341/668860416000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 139609/292626432000],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 97/60963840000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 163/8128512000],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 21793/18579456000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 7/63700992000],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 2315/898948399104],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 44027/1123685498880],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 3/8192],
[[[1, 4], [2, 5], [3, 2], [10, 3]], 7/432000],
[[[1, 4], [2, 5], [3, 2], [14, 2]], 1/12096],
[[[1, 4], [2, 5], [4, 2], [5, 3]], 1/512000],
[[[1, 4], [2, 5], [4, 2], [7, 2]], 1/100352],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 3/8192],
[[[1, 4], [2, 5], [4, 2], [10, 3]], 1/61440],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 13/301056],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 1/409600],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 11/32768],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 3/819200],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 11/60000],
[[[1, 4], [2, 5], [5, 1], [14, 2]], 1/3360],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 1/2000],
[[[1, 4], [2, 5], [5, 3], [6, 2]], 1/144000],
[[[1, 4], [2, 5], [5, 3], [10, 1]], 1/40000],
[[[1, 4], [2, 5], [6, 2], [7, 2]], 1/28224],
[[[1, 4], [2, 5], [6, 2], [10, 3]], 1/288000],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 1/56448],
[[[1, 4], [2, 5], [7, 2], [10, 1]], 1/7840],
[[[1, 4], [2, 5], [8, 1], [10, 3]], 1/64000],
[[[1, 4], [2, 5], [8, 1], [14, 2]], 1/12544],
[[[1, 4], [2, 7], [3, 1], [5, 3]], 1/4320000],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 1/93312],
[[[1, 4], [2, 7], [3, 1], [7, 2]], 1/846720],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 13/432000],
[[[1, 4], [2, 7], [3, 1], [14, 2]], 13/84672],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 1/2359296],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 25/139968],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 61/186624],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 1/62208],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 5/2239488],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 199/1152000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 13/32256],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 85/5971968],
[[[1, 4], [2, 7], [4, 3], [5, 2]], 17/4915200],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 91/3981312],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 923/1474560],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 121/1228800],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 1/98304],
[[[1, 4], [2, 7], [4, 4], [7, 1]], 1/229376],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 1/28672],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 1/655360],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 1/589824],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 3/65536],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 1/163840],
[[[1, 4], [2, 7], [5, 1], [6, 5]], 1/155520],
[[[1, 4], [2, 7], [5, 2], [7, 1]], 1/2016000],
[[[1, 4], [2, 7], [5, 3], [6, 1]], 1/576000],
[[[1, 4], [2, 7], [6, 1], [7, 2]], 1/112896],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 473/4608000],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 137/903168],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 17/230400],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 1/27216],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 7/124416],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 1/746496],
[[[1, 4], [2, 7], [6, 5], [10, 1]], 11/1866240],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 107/716800],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 277/1679616],
[[[1, 4], [2, 9], [3, 2], [5, 2]], 1/66355200],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 737/1492992],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 2777/193536000],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 89/622080],
[[[1, 4], [2, 9], [3, 3], [7, 1]], 1/139345920],
[[[1, 4], [2, 9], [3, 3], [9, 1]], 1/59719680],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 1/497664],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 11/165888],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 1/9216000],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 1471/8847360],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 417/4587520],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 88667/206438400],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 2653/19906560],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 49/368640],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 227/4718592],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 49/589824],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 1021/19660800],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 11/1179648],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 7/259200],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 137/1260000],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 1039/387072000],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 6493/18432000],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 4573/23224320],
[[[1, 4], [2, 9], [6, 3], [18, 1]], 1363/9953280],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 29/1492992],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 1751/14929920],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 623/9216000],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 1/1105920],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 413521/1881169920],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 17683/1161216000],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 1/424673280],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 88871/627056640],
[[[1, 4], [2, 11], [3, 2], [14, 1]], 31/37324800],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 133/39813120],
[[[1, 4], [2, 11], [4, 1], [5, 2]], 1/294912000],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 148009/836075520],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 7043/1857945600],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 181931/774144000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 841777/3344302080],
[[[1, 4], [2, 11], [4, 2], [7, 1]], 1/41287680],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 375947/3251404800],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 1/117964800],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 11471/92897280],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 8827/176947200],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 6779/77414400],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 2087/82575360],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 2327/174182400],
[[[1, 4], [2, 11], [5, 1], [14, 1]], 31/10368000],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 55991/258048000],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 95407/650280960],
[[[1, 4], [2, 11], [6, 2], [18, 1]], 1039/27869184],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 947/41803776],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 313273/1393459200],
[[[1, 4], [2, 11], [8, 1], [14, 1]], 983/108380160],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 2111/25804800],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 793/1592524800],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 1168271/21499084800],
[[[1, 4], [2, 13], [3, 1], [14, 1]], 2687/3657830400],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 233/16721510400],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 134951/25082265600],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 3481/31352832000],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 53/2090188800],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 234263/2508226560],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 41233/2786918400],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 233/4644864000],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 21051029/267544166400],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 3881/637009920],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 1668931/44590694400],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 486253/22295347200],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 181/139345920],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 672563/1114767360000],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 3168391/156067430400],
[[[1, 4], [2, 13], [6, 1], [18, 1]], 5897/4459069440],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 953/209018880],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 122057/1492992000],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 2047/1161216000],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 3991/66886041600],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 459343/150493593600],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 23657/250822656000],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 47/25082265600],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 5647/195084288000],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 47/6967296000],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 36763/2972712960],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 1163/4954521600],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 1247503/334430208000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 8624377/1560674304000],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 163/5080320000],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 1661/8360755200],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 2171609/334430208000],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 76093/28092137472000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 655489/16855282483200],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 4147877/9364045824000],
[[[1, 5], [2, 2], [3, 1], [5, 4]], 1/60000],
[[[1, 5], [2, 2], [3, 3], [5, 3]], 1/216000],
[[[1, 5], [2, 2], [3, 3], [7, 2]], 1/42336],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 1/8192],
[[[1, 5], [2, 2], [5, 3], [7, 1]], 1/28000],
[[[1, 5], [2, 4], [3, 2], [5, 3]], 1/288000],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 1/56448],
[[[1, 5], [2, 4], [3, 2], [10, 3]], 1/144000],
[[[1, 5], [2, 4], [3, 2], [14, 2]], 1/28224],
[[[1, 5], [2, 4], [4, 2], [5, 3]], 1/61440],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 13/301056],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 3/8192],
[[[1, 5], [2, 4], [4, 2], [10, 3]], 1/512000],
[[[1, 5], [2, 4], [4, 2], [14, 2]], 1/100352],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 3/819200],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 11/32768],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 1/409600],
[[[1, 5], [2, 4], [5, 1], [10, 3]], 1/40000],
[[[1, 5], [2, 4], [5, 1], [14, 2]], 1/7840],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 1/2000],
[[[1, 5], [2, 4], [5, 3], [6, 2]], 7/432000],
[[[1, 5], [2, 4], [5, 3], [8, 1]], 1/64000],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 11/60000],
[[[1, 5], [2, 4], [6, 2], [7, 2]], 1/12096],
[[[1, 5], [2, 4], [7, 2], [8, 1]], 1/12544],
[[[1, 5], [2, 4], [7, 2], [10, 1]], 1/3360],
[[[1, 5], [2, 6], [3, 1], [5, 3]], 1/540000],
[[[1, 5], [2, 6], [3, 1], [7, 2]], 1/105840],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 7/216000],
[[[1, 5], [2, 6], [3, 1], [14, 2]], 1/6048],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 1/589824],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 25/419904],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 19/5308416],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 67/186624],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/2654208],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 85/559872],
[[[1, 5], [2, 6], [4, 1], [5, 3]], 7/768000],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 1/21504],
[[[1, 5], [2, 6], [4, 1], [10, 3]], 121/2304000],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 103/451584],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 13/5971968],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 53/2457600],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 29/2654208],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 1/768],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 343/4915200],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 13/1327104],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 1/49152],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 13/344064],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 1/163840],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 1/393216],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 13/131072],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 3/327680],
[[[1, 5], [2, 6], [5, 1], [6, 5]], 1/466560],
[[[1, 5], [2, 6], [5, 2], [7, 1]], 1/252000],
[[[1, 5], [2, 6], [5, 3], [6, 1]], 1/69120],
[[[1, 5], [2, 6], [6, 1], [7, 2]], 25/338688],
[[[1, 5], [2, 6], [6, 1], [10, 3]], 1/96000],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 1/18816],
[[[1, 5], [2, 6], [6, 3], [10, 2]], 1/138240],
[[[1, 5], [2, 6], [6, 4], [14, 1]], 1/290304],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 1/124416],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 1/89600],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 1/131072],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 47/559872],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 43/14155776],
[[[1, 5], [2, 8], [3, 2], [5, 2]], 11/22118400],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 8213/13436928],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 623/20736000],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 11/23040],
[[[1, 5], [2, 8], [3, 3], [7, 1]], 101/418037760],
[[[1, 5], [2, 8], [3, 3], [9, 1]], 11/19906560],
[[[1, 5], [2, 8], [3, 4], [5, 1]], 1/447897600],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 89/4478976],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 77/2985984],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 1111/294912000],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 5815/47775744],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 413/1474560],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 2093/4608000],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 14083/79626240],
[[[1, 5], [2, 8], [4, 3], [7, 1]], 1/43008],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 379/1474560],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 43/3932160],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 337/3538944],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 653/1966080],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 601/4915200],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 5/196608],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 29/933120],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 10159/46080000],
[[[1, 5], [2, 8], [5, 2], [6, 2]], 1/5529600],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 283/12096000],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 563/3686400],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 461/4644864],
[[[1, 5], [2, 8], [6, 3], [18, 1]], 181/1990656],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 19/1990656],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 1/25920],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 31/491520],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 19/2211840],
[[[1, 5], [2, 10], [3, 1], [5, 2]], 7/221184000],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 3259/11197440],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 8669/193536000],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 1/1474560],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 391043/940584960],
[[[1, 5], [2, 10], [3, 2], [7, 1]], 1/37158912],
[[[1, 5], [2, 10], [3, 2], [9, 1]], 1/39813120],
[[[1, 5], [2, 10], [3, 2], [14, 1]], 983/243855360],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 7/955514880],
[[[1, 5], [2, 10], [3, 3], [5, 1]], 1/132710400],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 8471/278691840],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 1/477757440],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 1/89579520],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 7/49152000],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 44263/238878720],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 617/41287680],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 5767/16384000],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 59243/139345920],
[[[1, 5], [2, 10], [4, 2], [7, 1]], 7/8847360],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 25901/86704128],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 1/409600],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 72217/212336640],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 3462983/14863564800],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 344573/1238630400],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 3187/30965760],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 947/26127360],
[[[1, 5], [2, 10], [5, 1], [7, 1]], 1/17203200],
[[[1, 5], [2, 10], [5, 1], [14, 1]], 983/67737600],
[[[1, 5], [2, 10], [5, 2], [6, 1]], 1/22118400],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 1361/6144000],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 2719/15482880],
[[[1, 5], [2, 10], [6, 2], [18, 1]], 599/9953280],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 1153/39813120],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 19051/99532800],
[[[1, 5], [2, 10], [8, 1], [14, 1]], 3/143360],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 521/4300800],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 100501/22295347200],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 748801/5016453120],
[[[1, 5], [2, 12], [3, 1], [7, 1]], 1/1486356480],
[[[1, 5], [2, 12], [3, 1], [9, 1]], 1/637009920],
[[[1, 5], [2, 12], [3, 1], [14, 1]], 4481/1045094400],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 12913/38220595200],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 2599211/75246796800],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 2047/2612736000],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 5629/16721510400],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 665897/3344302080],
[[[1, 5], [2, 12], [4, 1], [7, 1]], 1/61931520],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 994481/19508428800],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 12913/10616832000],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 3434047/13377208320],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 784909/22295347200],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 886693/6193152000],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 83183/743178240],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 953/130636800],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 1509239/371589120000],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 62933/1300561920],
[[[1, 5], [2, 12], [6, 1], [18, 1]], 269/61931520],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 587/46448640],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 66007/464486400],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 97/15482880],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 15229/22295347200],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 1248851/80263249920],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 1693/2239488000],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 823/25082265600],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 112649/300987187200],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 823/6967296000],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 25596661/535088332800],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 16169/9909043200],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 23295389/1337720832000],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 306301/9555148800],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 1661/5225472000],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 2923/2786918400],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 775163/37158912000],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 15403/401316249600],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 37763179/112368549888000],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 1911059/668860416000],
[[[1, 6], [2, 1], [3, 1], [5, 4]], 1/30000],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 1/108000],
[[[1, 6], [2, 1], [3, 3], [7, 2]], 1/21168],
[[[1, 6], [2, 1], [5, 3], [7, 1]], 1/14000],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 1/18000],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 1/9408],
[[[1, 6], [2, 3], [3, 4], [5, 2]], 1/103680],
[[[1, 6], [2, 3], [3, 5], [7, 1]], 1/217728],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 1/93312],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 23/768000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 11/150528],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 1/8192],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 1/409600],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 9/65536],
[[[1, 6], [2, 3], [4, 4], [10, 2]], 1/1638400],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 1/7840],
[[[1, 6], [2, 3], [5, 2], [10, 2]], 1/6000],
[[[1, 6], [2, 3], [5, 3], [6, 2]], 1/86400],
[[[1, 6], [2, 3], [5, 3], [8, 1]], 7/192000],
[[[1, 6], [2, 3], [5, 3], [10, 1]], 1/3000],
[[[1, 6], [2, 3], [6, 2], [7, 2]], 5/84672],
[[[1, 6], [2, 3], [7, 2], [8, 1]], 1/5376],
[[[1, 6], [2, 3], [7, 2], [10, 1]], 1/4704],
[[[1, 6], [2, 5], [3, 1], [5, 3]], 1/96000],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 1/18816],
[[[1, 6], [2, 5], [3, 1], [10, 3]], 1/69120],
[[[1, 6], [2, 5], [3, 1], [14, 2]], 25/338688],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 1/393216],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 13/1327104],
[[[1, 6], [2, 5], [3, 3], [5, 2]], 1/138240],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 85/559872],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 29/2654208],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 67/186624],
[[[1, 6], [2, 5], [3, 4], [7, 1]], 1/290304],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 1/124416],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 13/5971968],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 25/419904],
[[[1, 6], [2, 5], [3, 5], [10, 1]], 1/466560],
[[[1, 6], [2, 5], [4, 1], [5, 3]], 121/2304000],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 103/451584],
[[[1, 6], [2, 5], [4, 1], [10, 3]], 7/768000],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 1/21504],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 343/4915200],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/2654208],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 1/768],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 53/2457600],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 19/5308416],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 13/344064],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 1/49152],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 3/327680],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 1/589824],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 13/131072],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 1/163840],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 1/89600],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 7/216000],
[[[1, 6], [2, 5], [6, 1], [7, 2]], 1/6048],
[[[1, 6], [2, 5], [6, 1], [10, 3]], 1/540000],
[[[1, 6], [2, 5], [6, 1], [14, 2]], 1/105840],
[[[1, 6], [2, 5], [10, 2], [14, 1]], 1/252000],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 1/36864],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 11/746496],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 253/7077888],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 1/230400],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 203/559872],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 31/1105920],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 245/15925248],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 19/23328],
[[[1, 6], [2, 7], [3, 3], [7, 1]], 29/13063680],
[[[1, 6], [2, 7], [3, 3], [9, 1]], 1/207360],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 31/15925248],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 1/13996800],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 5/46656],
[[[1, 6], [2, 7], [3, 4], [10, 1]], 1/414720],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 1/6718464],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 25/8957952],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 23/491520],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 1627/47775744],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 2747/5898240],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 2209/9830400],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 761/7962624],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 37/294912],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 265/1032192],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 43/655360],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 1283/14155776],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 3769/5898240],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 877/6553600],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 11/294912],
[[[1, 6], [2, 7], [5, 1], [6, 4]], 19/1244160],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 137/614400],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 1/102400],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 1/2457600],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 1507/13824000],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 499/16588800],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 451/20901888],
[[[1, 6], [2, 7], [6, 3], [18, 1]], 439/14929920],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 1/663552],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 469/111974400],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 9/409600],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 199/4423680],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 347/331776000],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 17543/89579520],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 899/12902400],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 1651/141557760],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 113411/179159040],
[[[1, 6], [2, 9], [3, 2], [7, 1]], 83/92897280],
[[[1, 6], [2, 9], [3, 2], [9, 1]], 49/59719680],
[[[1, 6], [2, 9], [3, 2], [14, 1]], 1/107520],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 7/29859840],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 31/119439360],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 12707/104509440],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 103/1433272320],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 1/1866240],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 649/294912000],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 13639/143327232],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 43/1474560],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 61987/221184000],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 168401/477757440],
[[[1, 6], [2, 9], [4, 2], [7, 1]], 2539/123863040],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 53/129024],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 1651/39321600],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 12121/26542080],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 577727/990904320],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 3337/7372800],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 5819/27525120],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 1153/24883200],
[[[1, 6], [2, 9], [5, 1], [7, 1]], 7/3686400],
[[[1, 6], [2, 9], [5, 1], [14, 1]], 3/89600],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 1/368640],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 204889/1658880000],
[[[1, 6], [2, 9], [6, 2], [7, 1]], 1/1290240],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 23023/199065600],
[[[1, 6], [2, 9], [6, 2], [18, 1]], 16403/298598400],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 23/1327104],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 153221/1791590400],
[[[1, 6], [2, 9], [7, 1], [10, 1]], 1/358400],
[[[1, 6], [2, 9], [8, 1], [14, 1]], 17/737280],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 121769/1161216000],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 3709/185794560],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 20203/89579520],
[[[1, 6], [2, 11], [3, 1], [7, 1]], 17/371589120],
[[[1, 6], [2, 11], [3, 1], [9, 1]], 1/17694720],
[[[1, 6], [2, 11], [3, 1], [14, 1]], 6049/457228800],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 389719/133772083200],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 7/398131200],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 758321/6688604160],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 97/34836480],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 13/955514880],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 109159/50164531200],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 166871/716636160],
[[[1, 6], [2, 11], [4, 1], [7, 1]], 23/41287680],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 4667/46448640],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 386779/37158912000],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 989263/2229534720],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 305857/2786918400],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 544571/1857945600],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 3881/13271040],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 587/29030400],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 35867/2477260800],
[[[1, 6], [2, 11], [6, 1], [7, 1]], 1/5160960],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 532363/7803371520],
[[[1, 6], [2, 11], [6, 1], [18, 1]], 139399/16721510400],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 53/2949120],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 148937/1045094400],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 257/22118400],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 290111/66886041600],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 1/1769472000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 1523201/33443020800],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 82553/25082265600],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 21221/76441190400],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 139567/57330892800],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 21221/21233664000],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 21389281/200658124800],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 575717/89181388800],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 2609401/55738368000],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 6848941/66886041600],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 2923/1741824000],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 2809/928972800],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 50410361/1254113280000],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 25093/80263249920],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 195367003/112368549888000],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 8855569/802632499200],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 1/7200],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 5/28224],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 53/1555200],
[[[1, 7], [2, 2], [3, 5], [7, 1]], 11/653184],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 1/31104],
[[[1, 7], [2, 2], [3, 6], [5, 1]], 1/699840],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/51200],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 3/50176],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 1/1638400],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 1/65536],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 1/3360],
[[[1, 7], [2, 2], [5, 3], [6, 2]], 1/432000],
[[[1, 7], [2, 2], [5, 3], [8, 1]], 1/38400],
[[[1, 7], [2, 2], [5, 3], [10, 1]], 13/60000],
[[[1, 7], [2, 2], [6, 2], [7, 2]], 1/84672],
[[[1, 7], [2, 2], [7, 2], [8, 1]], 5/37632],
[[[1, 7], [2, 2], [7, 2], [10, 1]], 1/23520],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 473/4608000],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 137/903168],
[[[1, 7], [2, 4], [3, 1], [10, 3]], 1/576000],
[[[1, 7], [2, 4], [3, 1], [14, 2]], 1/112896],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 1/589824],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 1/98304],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 17/230400],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 1/62208],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 91/3981312],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 61/186624],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 1/27216],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 7/124416],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 85/5971968],
[[[1, 7], [2, 4], [3, 5], [5, 1]], 11/1866240],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 25/139968],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 1/746496],
[[[1, 7], [2, 4], [3, 5], [10, 1]], 1/155520],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 5/2239488],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 1/93312],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 199/1152000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 13/32256],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 121/1228800],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 923/1474560],
[[[1, 7], [2, 4], [4, 3], [10, 2]], 17/4915200],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 1/28672],
[[[1, 7], [2, 4], [4, 4], [14, 1]], 1/229376],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 1/163840],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 1/2359296],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 3/65536],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 1/655360],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 107/716800],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 13/432000],
[[[1, 7], [2, 4], [6, 1], [7, 2]], 13/84672],
[[[1, 7], [2, 4], [6, 1], [10, 3]], 1/4320000],
[[[1, 7], [2, 4], [6, 1], [14, 2]], 1/846720],
[[[1, 7], [2, 4], [10, 2], [14, 1]], 1/2016000],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 11/294912],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 1/6718464],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 1283/14155776],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 499/16588800],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 5/46656],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 1/102400],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 761/7962624],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 19/23328],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 451/20901888],
[[[1, 7], [2, 6], [3, 3], [9, 1]], 439/14929920],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 1627/47775744],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 469/111974400],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 203/559872],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 1/663552],
[[[1, 7], [2, 6], [3, 4], [10, 1]], 19/1244160],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 25/8957952],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 11/746496],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 2209/9830400],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 31/15925248],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 2747/5898240],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 23/491520],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 245/15925248],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 265/1032192],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 37/294912],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 877/6553600],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 253/7077888],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 3769/5898240],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 43/655360],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 1/36864],
[[[1, 7], [2, 6], [5, 1], [6, 4]], 1/414720],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 1507/13824000],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 31/1105920],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 9/409600],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 137/614400],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 1/230400],
[[[1, 7], [2, 6], [6, 3], [14, 1]], 29/13063680],
[[[1, 7], [2, 6], [6, 3], [18, 1]], 1/207360],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 1/13996800],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 1/2457600],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 977/7077888],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 10291/1105920000],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 8459/134369280],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 2359/41472000],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 1253/13271040],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 33253/59719680],
[[[1, 7], [2, 8], [3, 2], [7, 1]], 22997/2786918400],
[[[1, 7], [2, 8], [3, 2], [9, 1]], 1537/199065600],
[[[1, 7], [2, 8], [3, 2], [14, 1]], 17/1658880],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 17857/955514880],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 9049/3583180800],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 1399/4478976],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 31/4976640],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 563/358318080],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 743/89579520],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 917/36864000],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 3779/179159040],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 53/1474560],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 5813/49152000],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 361/2654208],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 739/6193152],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 6337/20643840],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 703/3686400],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 12941/42467328],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 31621/35389440],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 2633/6553600],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 4099/17694720],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 23/829440],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 37453/2322432000],
[[[1, 7], [2, 8], [5, 1], [14, 1]], 17/460800],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 241/11059200],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 349/8640000],
[[[1, 7], [2, 8], [6, 2], [7, 1]], 29/5806080],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 3617/87091200],
[[[1, 7], [2, 8], [6, 2], [18, 1]], 59/2073600],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 31/7962624],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 1073/55987200],
[[[1, 7], [2, 8], [7, 1], [8, 1]], 1/573440],
[[[1, 7], [2, 8], [7, 1], [10, 1]], 29/1612800],
[[[1, 7], [2, 8], [8, 1], [14, 1]], 29/2580480],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 3973/72576000],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 907/14155776],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 14562913/75246796800],
[[[1, 7], [2, 10], [3, 1], [7, 1]], 103/106168320],
[[[1, 7], [2, 10], [3, 1], [9, 1]], 193/318504960],
[[[1, 7], [2, 10], [3, 1], [14, 1]], 2761/121927680],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 61843/4459069440],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 59/99532800],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 162331/743178240],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 1091/199065600],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 217/477757440],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 86651/10032906240],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 1069189/7166361600],
[[[1, 7], [2, 10], [4, 1], [7, 1]], 5/774144],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 36223/309657600],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 293353/6193152000],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 89713/212336640],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 218269/1061683200],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 2293/6553600],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 31273/74317824],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 643/22118400],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 276721/9289728000],
[[[1, 7], [2, 10], [6, 1], [7, 1]], 1/414720],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 1128233/19508428800],
[[[1, 7], [2, 10], [6, 1], [18, 1]], 361/37158912],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 679/53084160],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 347689/4180377600],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 163/14745600],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 2132723/133772083200],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 161/5308416000],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 23985281/300987187200],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 172349/20901888000],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 172699/133772083200],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 739/83607552],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 18971/4128768000],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 18789851/133772083200],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 5044111/334430208000],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 8419057/111476736000],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 4242877/22295347200],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 45679/9289728000],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 139/29030400],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 8529931/179159040000],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 171437/114661785600],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 266011661/48157949952000],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 52618057/2006581248000],
[[[1, 7], [3, 1], [4, 2], [5, 3]], 1/768000],
[[[1, 7], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 1/20160],
[[[1, 7], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 7], [3, 3], [7, 1], [9, 1]], 1/18144],
[[[1, 7], [3, 4], [5, 1], [7, 1]], 1/90720],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 1/38880],
[[[1, 7], [4, 1], [5, 3], [8, 1]], 1/192000],
[[[1, 7], [4, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 7], [4, 2], [5, 2], [7, 1]], 1/358400],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 1/8000],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 1/9408],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 61/1555200],
[[[1, 8], [2, 1], [3, 5], [7, 1]], 13/653184],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 1/31104],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 1/349920],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 7/1536000],
[[[1, 8], [2, 1], [4, 2], [7, 2]], 1/43008],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 1/4704],
[[[1, 8], [2, 1], [5, 3], [8, 1]], 1/192000],
[[[1, 8], [2, 1], [5, 3], [10, 1]], 1/24000],
[[[1, 8], [2, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 151/576000],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 23/112896],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 1/2359296],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 7/1327104],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 107/518400],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 61/3981312],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 29/279936],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 1/10368],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 11/93312],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 67/2985984],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 13/466560],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 25/139968],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 1/248832],
[[[1, 8], [2, 3], [3, 5], [10, 1]], 1/155520],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 19/2239488],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 1/31104],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 289/1152000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 73/225792],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 287/4915200],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 181/1474560],
[[[1, 8], [2, 3], [4, 4], [7, 1]], 11/688128],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 1/655360],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 1/131072],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 33/89600],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 7/576000],
[[[1, 8], [2, 3], [6, 1], [7, 2]], 1/16128],
[[[1, 8], [2, 3], [6, 1], [10, 3]], 1/138240000],
[[[1, 8], [2, 3], [6, 1], [14, 2]], 1/27095040],
[[[1, 8], [2, 3], [10, 2], [14, 1]], 1/64512000],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 5/196608],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 337/3538944],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 563/3686400],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 89/4478976],
[[[1, 8], [2, 5], [3, 2], [10, 2]], 1/5529600],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 14083/79626240],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 11/23040],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 461/4644864],
[[[1, 8], [2, 5], [3, 3], [9, 1]], 181/1990656],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 5815/47775744],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 1/25920],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 8213/13436928],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 19/1990656],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 29/933120],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 77/2985984],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 47/559872],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 2093/4608000],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 413/1474560],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 1111/294912000],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 379/1474560],
[[[1, 8], [2, 5], [4, 3], [14, 1]], 1/43008],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 601/4915200],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 43/14155776],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 653/1966080],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 43/3932160],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 1/131072],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 283/12096000],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 623/20736000],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 31/491520],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 10159/46080000],
[[[1, 8], [2, 5], [6, 2], [10, 2]], 11/22118400],
[[[1, 8], [2, 5], [6, 3], [14, 1]], 101/418037760],
[[[1, 8], [2, 5], [6, 3], [18, 1]], 11/19906560],
[[[1, 8], [2, 5], [6, 4], [10, 1]], 1/447897600],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 4099/17694720],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 349/8640000],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 743/89579520],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 241/11059200],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 12941/42467328],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 1399/4478976],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 3617/87091200],
[[[1, 8], [2, 7], [3, 2], [9, 1]], 59/2073600],
[[[1, 8], [2, 7], [3, 2], [14, 1]], 29/5806080],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 361/2654208],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 1073/55987200],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 33253/59719680],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 31/7962624],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 23/829440],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 3779/179159040],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 8459/134369280],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 5813/49152000],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 563/358318080],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 53/1474560],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 917/36864000],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 17857/955514880],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 6337/20643840],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 739/6193152],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 2633/6553600],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 1253/13271040],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 31621/35389440],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 703/3686400],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 977/7077888],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 31/4976640],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 3973/72576000],
[[[1, 8], [2, 7], [5, 1], [14, 1]], 29/1612800],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 2359/41472000],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 10291/1105920000],
[[[1, 8], [2, 7], [6, 2], [7, 1]], 17/1658880],
[[[1, 8], [2, 7], [6, 2], [14, 1]], 22997/2786918400],
[[[1, 8], [2, 7], [6, 2], [18, 1]], 1537/199065600],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 9049/3583180800],
[[[1, 8], [2, 7], [7, 1], [8, 1]], 29/2580480],
[[[1, 8], [2, 7], [7, 1], [10, 1]], 17/460800],
[[[1, 8], [2, 7], [8, 1], [14, 1]], 1/573440],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 37453/2322432000],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 3139/17694720],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 345301/3583180800],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 4957/619315200],
[[[1, 8], [2, 9], [3, 1], [9, 1]], 6781/2388787200],
[[[1, 8], [2, 9], [3, 1], [14, 1]], 83/3870720],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 83299/1274019840],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 763/132710400],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 14933/52254720],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 7/35389440],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 367/33177600],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 107903/14332723200],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 24559/796262400],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 88727/1791590400],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 19601/619315200],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 12473/154828800],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 26299/196608000],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 565627/2548039680],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 46877/176947200],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 929471/3538944000],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 37111/106168320],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 751/33177600],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 7/9830400],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 333983/8257536000],
[[[1, 8], [2, 9], [6, 1], [7, 1]], 247/23224320],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 4535183/156067430400],
[[[1, 8], [2, 9], [6, 1], [18, 1]], 51223/7431782400],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 17/4423680],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 118613/4180377600],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 1/204800],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 1336621/33443020800],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 4397/7962624000],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 2921281/33443020800],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 6961/557383680],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 14831/3567255552],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 4157011/200658124800],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 982181/74317824000],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 7378691/66886041600],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 14851849/668860416000],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 4273057/55738368000],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 9608129/44590694400],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 40309/4644864000],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 179/44236800],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 176290859/5016453120000],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 83513/19110297600],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 178254871/16052649984000],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 78697049/2006581248000],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 1/3750],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 1/7840],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 7/5308416],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 473/1944000],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 31/7962624],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 167/1632960],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 1/9720],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 11/995328],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 7/155520],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 25/419904],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 1/248832],
[[[1, 9], [2, 2], [3, 5], [10, 1]], 1/466560],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 23/2239488],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 1/31104],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 341/2304000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 53/451584],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 11/819200],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 1/184320],
[[[1, 9], [2, 2], [4, 4], [7, 1]], 1/344064],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 83/252000],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/576000],
[[[1, 9], [2, 2], [6, 1], [7, 2]], 1/112896],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 11/1179648],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 227/4718592],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 6493/18432000],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 1/497664],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 2653/19906560],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 89/622080],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 4573/23224320],
[[[1, 9], [2, 4], [3, 3], [9, 1]], 1363/9953280],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 1471/8847360],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 1751/14929920],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 737/1492992],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 29/1492992],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 7/259200],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 11/165888],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 277/1679616],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 88667/206438400],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 417/4587520],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 1/9216000],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 49/368640],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 1021/19660800],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 49/589824],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 1039/387072000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 2777/193536000],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 623/9216000],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 137/1260000],
[[[1, 9], [2, 4], [6, 2], [10, 2]], 1/66355200],
[[[1, 9], [2, 4], [6, 3], [14, 1]], 1/139345920],
[[[1, 9], [2, 4], [6, 3], [18, 1]], 1/59719680],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 5819/27525120],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 204889/1658880000],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 1/1866240],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 1/368640],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 12121/26542080],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 12707/104509440],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 23023/199065600],
[[[1, 9], [2, 6], [3, 2], [9, 1]], 16403/298598400],
[[[1, 9], [2, 6], [3, 2], [14, 1]], 1/1290240],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 168401/477757440],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 153221/1791590400],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 113411/179159040],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 23/1327104],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 1153/24883200],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 13639/143327232],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 17543/89579520],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 61987/221184000],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 103/1433272320],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 43/1474560],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 649/294912000],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 7/29859840],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 53/129024],
[[[1, 9], [2, 6], [4, 2], [14, 1]], 2539/123863040],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 3337/7372800],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 1651/141557760],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 577727/990904320],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 1651/39321600],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 199/4423680],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 121769/1161216000],
[[[1, 9], [2, 6], [5, 1], [14, 1]], 1/358400],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 899/12902400],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 347/331776000],
[[[1, 9], [2, 6], [6, 2], [7, 1]], 1/107520],
[[[1, 9], [2, 6], [6, 2], [14, 1]], 83/92897280],
[[[1, 9], [2, 6], [6, 2], [18, 1]], 49/59719680],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 31/119439360],
[[[1, 9], [2, 6], [7, 1], [8, 1]], 17/737280],
[[[1, 9], [2, 6], [7, 1], [10, 1]], 3/89600],
[[[1, 9], [2, 6], [10, 1], [14, 1]], 7/3686400],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 37111/106168320],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 24559/796262400],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 4535183/156067430400],
[[[1, 9], [2, 8], [3, 1], [9, 1]], 51223/7431782400],
[[[1, 9], [2, 8], [3, 1], [14, 1]], 247/23224320],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 565627/2548039680],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 118613/4180377600],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 14933/52254720],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 17/4423680],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 751/33177600],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 88727/1791590400],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 345301/3583180800],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 107903/14332723200],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 12473/154828800],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 19601/619315200],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 929471/3538944000],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 83299/1274019840],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 46877/176947200],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 26299/196608000],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 3139/17694720],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 367/33177600],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 1/204800],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 333983/8257536000],
[[[1, 9], [2, 8], [6, 1], [7, 1]], 83/3870720],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 4957/619315200],
[[[1, 9], [2, 8], [6, 1], [18, 1]], 6781/2388787200],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 7/35389440],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 763/132710400],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 7/9830400],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 379451/4459069440],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 34141/7962624000],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 83009/1274019840],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 1/4423680],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 257/19906560],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 97867/6370099200],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 80957/2090188800],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 152393/5308416000],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 27607793/535088332800],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 16090577/668860416000],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 23659219/445906944000],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 440161/2786918400],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 14857/1327104000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 29/17694720],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 1790801/111476736000],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 20801/2388787200],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 80145677/5350883328000],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 76336957/2006581248000],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 41/403200],
[[[1, 9], [3, 1], [5, 2], [9, 1]], 1/21600],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 1/368640],
[[[1, 9], [3, 2], [7, 1], [9, 1]], 1/72576],
[[[1, 9], [3, 3], [4, 2], [7, 1]], 5/2322432],
[[[1, 9], [3, 3], [4, 2], [9, 1]], 1/331776],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 1/17280],
[[[1, 9], [3, 3], [5, 1], [9, 1]], 1/17280],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/2488320],
[[[1, 9], [3, 5], [4, 1], [8, 1]], 1/746496],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 331/2880000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 19/564480],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 3931/31104000],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 7/7962624],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 587/13063680],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 23/622080],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 5/5971968],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 7/233280],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1/746496],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/248832],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 1/93312],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 61/2304000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 1/64512],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 3/1638400],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 233/2016000],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 1/589824],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 89/7077888],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 677/1728000],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 3343/79626240],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 13/933120],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 409/2177280],
[[[1, 10], [2, 3], [3, 3], [9, 1]], 1/9720],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 22607/238878720],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 5/31104],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 97/559872],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 7/414720],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 61/6220800],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 317/4478976],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 317/2239488],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 47471/258048000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 44641/3715891200],
[[[1, 10], [2, 3], [4, 2], [10, 2]], 1/294912000],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 353/10321920],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 97/9830400],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 3/327680],
[[[1, 10], [2, 3], [5, 1], [10, 2]], 11/129024000],
[[[1, 10], [2, 3], [5, 2], [6, 2]], 19/6451200],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 2777/86016000],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 349/13824000],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 3187/30965760],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 1361/6144000],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 1/89579520],
[[[1, 10], [2, 5], [3, 1], [10, 2]], 1/22118400],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 72217/212336640],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 8471/278691840],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 2719/15482880],
[[[1, 10], [2, 5], [3, 2], [9, 1]], 599/9953280],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 59243/139345920],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 19051/99532800],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 391043/940584960],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 1153/39813120],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 947/26127360],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 44263/238878720],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 3259/11197440],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 5767/16384000],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 1/477757440],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 617/41287680],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 7/49152000],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 7/955514880],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 25901/86704128],
[[[1, 10], [2, 5], [4, 2], [14, 1]], 7/8847360],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 344573/1238630400],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 1/1474560],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 3462983/14863564800],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 1/409600],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 19/2211840],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 521/4300800],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 8669/193536000],
[[[1, 10], [2, 5], [6, 1], [10, 2]], 7/221184000],
[[[1, 10], [2, 5], [6, 2], [7, 1]], 983/243855360],
[[[1, 10], [2, 5], [6, 2], [14, 1]], 1/37158912],
[[[1, 10], [2, 5], [6, 2], [18, 1]], 1/39813120],
[[[1, 10], [2, 5], [6, 3], [10, 1]], 1/132710400],
[[[1, 10], [2, 5], [7, 1], [8, 1]], 3/143360],
[[[1, 10], [2, 5], [7, 1], [10, 1]], 983/67737600],
[[[1, 10], [2, 5], [10, 1], [14, 1]], 1/17203200],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 31273/74317824],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 86651/10032906240],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 1128233/19508428800],
[[[1, 10], [2, 7], [3, 1], [9, 1]], 361/37158912],
[[[1, 10], [2, 7], [3, 1], [14, 1]], 1/414720],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 89713/212336640],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 347689/4180377600],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 162331/743178240],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 679/53084160],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 643/22118400],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 1069189/7166361600],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 14562913/75246796800],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 217/477757440],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 36223/309657600],
[[[1, 10], [2, 7], [4, 1], [14, 1]], 5/774144],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 2293/6553600],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 61843/4459069440],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 218269/1061683200],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 293353/6193152000],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 907/14155776],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 1091/199065600],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 163/14745600],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 276721/9289728000],
[[[1, 10], [2, 7], [6, 1], [7, 1]], 2761/121927680],
[[[1, 10], [2, 7], [6, 1], [14, 1]], 103/106168320],
[[[1, 10], [2, 7], [6, 1], [18, 1]], 193/318504960],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 59/99532800],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 440161/2786918400],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 1790801/111476736000],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 80957/2090188800],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 29/17694720],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 14857/1327104000],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 27607793/535088332800],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 83009/1274019840],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 23659219/445906944000],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 97867/6370099200],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 16090577/668860416000],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 152393/5308416000],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 379451/4459069440],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 257/19906560],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 1/4423680],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 34141/7962624000],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 667229/44590694400],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 251367377/16052649984000],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 988861/38220595200],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 25/14155776],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 24851/116121600],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 241/39813120],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 63671/731566080],
[[[1, 11], [2, 2], [3, 3], [9, 1]], 431/11612160],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 1499/79626240],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 27787/261273600],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 59/3359232],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 61/9953280],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 19/18662400],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 95/2985984],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 115/2239488],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 1283/45875200],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 251/530841600],
[[[1, 11], [2, 2], [4, 3], [7, 1]], 1/245760],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 7/6553600],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 1/1474560],
[[[1, 11], [2, 2], [5, 2], [6, 2]], 113/580608000],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 19/2867200],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 4381/1935360000],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 2087/82575360],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 55991/258048000],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 11471/92897280],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 133/39813120],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 95407/650280960],
[[[1, 11], [2, 4], [3, 2], [9, 1]], 1039/27869184],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 841777/3344302080],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 313273/1393459200],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 88871/627056640],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 947/41803776],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 2327/174182400],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 148009/836075520],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 413521/1881169920],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 181931/774144000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 7043/1857945600],
[[[1, 11], [2, 4], [4, 1], [10, 2]], 1/294912000],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 375947/3251404800],
[[[1, 11], [2, 4], [4, 2], [14, 1]], 1/41287680],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 6779/77414400],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 1/424673280],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 8827/176947200],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 1/117964800],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 1/1105920],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 2111/25804800],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 17683/1161216000],
[[[1, 11], [2, 4], [6, 2], [7, 1]], 31/37324800],
[[[1, 11], [2, 4], [7, 1], [8, 1]], 983/108380160],
[[[1, 11], [2, 4], [7, 1], [10, 1]], 31/10368000],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 3881/13271040],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 109159/50164531200],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 532363/7803371520],
[[[1, 11], [2, 6], [3, 1], [9, 1]], 139399/16721510400],
[[[1, 11], [2, 6], [3, 1], [14, 1]], 1/5160960],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 989263/2229534720],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 148937/1045094400],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 758321/6688604160],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 53/2949120],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 587/29030400],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 166871/716636160],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 20203/89579520],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 13/955514880],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 4667/46448640],
[[[1, 11], [2, 6], [4, 1], [14, 1]], 23/41287680],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 544571/1857945600],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 389719/133772083200],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 305857/2786918400],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 386779/37158912000],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 3709/185794560],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 97/34836480],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 257/22118400],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 35867/2477260800],
[[[1, 11], [2, 6], [6, 1], [7, 1]], 6049/457228800],
[[[1, 11], [2, 6], [6, 1], [14, 1]], 17/371589120],
[[[1, 11], [2, 6], [6, 1], [18, 1]], 1/17694720],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 7/398131200],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 9608129/44590694400],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 176290859/5016453120000],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 4157011/200658124800],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 179/44236800],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 40309/4644864000],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 7378691/66886041600],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 2921281/33443020800],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 4273057/55738368000],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 14831/3567255552],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 14851849/668860416000],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 982181/74317824000],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 1336621/33443020800],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 6961/557383680],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 4397/7962624000],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 988861/38220595200],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 251367377/16052649984000],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 667229/44590694400],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 23/18432000],
[[[1, 11], [3, 1], [7, 1], [9, 1]], 1/11612160],
[[[1, 11], [3, 2], [4, 2], [7, 1]], 17/15482880],
[[[1, 11], [3, 2], [4, 2], [9, 1]], 1/3317760],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 19/774144],
[[[1, 11], [3, 2], [5, 1], [9, 1]], 59/8294400],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 5/3981312],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 19/29859840],
[[[1, 11], [4, 1], [5, 2], [8, 1]], 113/258048000],
[[[1, 11], [4, 2], [5, 1], [7, 1]], 13/12902400],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 120923/2322432000],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 53/79626240],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 51757/2926264320],
[[[1, 12], [2, 1], [3, 3], [9, 1]], 263/46448640],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 221/238878720],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 341/10886400],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 19/29859840],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 13/2985984],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 1/186624],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 121/129024000],
[[[1, 12], [2, 1], [4, 2], [8, 2]], 23/1857945600],
[[[1, 12], [2, 1], [4, 3], [7, 1]], 1/3440640],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 113/258048000],
[[[1, 12], [2, 1], [5, 2], [10, 1]], 19/387072000],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 379/123863040],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 4709/41472000],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 11903/594542592],
[[[1, 12], [2, 3], [3, 2], [6, 3]], 19/209018880],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 127/1905120],
[[[1, 12], [2, 3], [3, 2], [9, 1]], 649/52254720],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 57307/836075520],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 18407/130636800],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 10631/501645312],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 2327/278691840],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 179/87091200],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 104807/1254113280],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 25687/313528320],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 23393/294912000],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 103/265420800],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 285167/13005619200],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 9883/825753600],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 841/185794560],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 1027/33868800],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 121/48384000],
[[[1, 12], [2, 3], [6, 2], [7, 1]], 271/3657830400],
[[[1, 12], [2, 3], [7, 1], [8, 1]], 31/16588800],
[[[1, 12], [2, 3], [7, 1], [10, 1]], 271/1016064000],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 83183/743178240],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 5629/16721510400],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 62933/1300561920],
[[[1, 12], [2, 5], [3, 1], [9, 1]], 269/61931520],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 3434047/13377208320],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 66007/464486400],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 2599211/75246796800],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 587/46448640],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 953/130636800],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 665897/3344302080],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 748801/5016453120],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 994481/19508428800],
[[[1, 12], [2, 5], [4, 1], [14, 1]], 1/61931520],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 886693/6193152000],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 12913/38220595200],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 784909/22295347200],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 12913/10616832000],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 100501/22295347200],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 2047/2612736000],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 97/15482880],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 1509239/371589120000],
[[[1, 12], [2, 5], [6, 1], [7, 1]], 4481/1045094400],
[[[1, 12], [2, 5], [6, 1], [14, 1]], 1/1486356480],
[[[1, 12], [2, 5], [6, 1], [18, 1]], 1/637009920],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 4242877/22295347200],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 8529931/179159040000],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 739/83607552],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 139/29030400],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 45679/9289728000],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 18789851/133772083200],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 23985281/300987187200],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 8419057/111476736000],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 172699/133772083200],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 5044111/334430208000],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 18971/4128768000],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 2132723/133772083200],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 172349/20901888000],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 161/5308416000],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 76336957/2006581248000],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 80145677/5350883328000],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 20801/2388787200],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 53/247726080],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 2099161/69672960000],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 251/185794560],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 36887/2341011456],
[[[1, 13], [2, 2], [3, 2], [9, 1]], 2879/1393459200],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 767/106168320],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 806407/17915904000],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 8293/7524679680],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 179/139345920],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 11/104509440],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 58699/3344302080],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 2077/156764160],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 37613/3096576000],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 23/1857945600],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 397/240844800],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 97/154828800],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 137/1651507200],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 4429/774144000],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 113/774144000],
[[[1, 13], [2, 2], [6, 2], [7, 1]], 1/457228800],
[[[1, 13], [2, 2], [7, 1], [8, 1]], 271/1625702400],
[[[1, 13], [2, 2], [7, 1], [10, 1]], 1/127008000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 486253/22295347200],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 53/2090188800],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 3168391/156067430400],
[[[1, 13], [2, 4], [3, 1], [9, 1]], 5897/4459069440],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 21051029/267544166400],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 122057/1492992000],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 134951/25082265600],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 953/209018880],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 181/139345920],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 234263/2508226560],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 1168271/21499084800],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 41233/2786918400],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 1668931/44590694400],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 233/16721510400],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 3881/637009920],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 233/4644864000],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 793/1592524800],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 3481/31352832000],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 2047/1161216000],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 672563/1114767360000],
[[[1, 13], [2, 4], [6, 1], [7, 1]], 2687/3657830400],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 6848941/66886041600],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 50410361/1254113280000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 139567/57330892800],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 2809/928972800],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 2923/1741824000],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 21389281/200658124800],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 1523201/33443020800],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 2609401/55738368000],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 21221/76441190400],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 575717/89181388800],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 21221/21233664000],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 290111/66886041600],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 82553/25082265600],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 1/1769472000],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 78697049/2006581248000],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 178254871/16052649984000],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 83513/19110297600],
[[[1, 13], [3, 1], [4, 2], [7, 1]], 13/173408256],
[[[1, 13], [3, 1], [4, 2], [9, 1]], 1/371589120],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 1543/812851200],
[[[1, 13], [3, 1], [5, 1], [9, 1]], 19/348364800],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 1/4644864],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 11/167215104],
[[[1, 13], [4, 1], [7, 1], [8, 1]], 1/203212800],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 125551/34836480000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 227/2972712960],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 10429/5852528640],
[[[1, 14], [2, 1], [3, 2], [9, 1]], 109/696729600],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 37/209018880],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 406459/62705664000],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 11/167215104],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 613/477757440],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 13/17418240],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 1327/2064384000],
[[[1, 14], [2, 1], [4, 2], [7, 1]], 41/1857945600],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 73/2477260800],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 23/14863564800],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 1313/2709504000],
[[[1, 14], [2, 1], [7, 1], [8, 1]], 1/203212800],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 2087/1114767360],
[[[1, 14], [2, 3], [3, 1], [6, 3]], 17/25082265600],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 63479/13005619200],
[[[1, 14], [2, 3], [3, 1], [9, 1]], 3757/16721510400],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 1571939/133772083200],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 1099111/41803776000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 37349/100329062400],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 181/222953472],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 37/348364800],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 460801/20065812480],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 514819/50164531200],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 90263/39016857600],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 74899/15925248000],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 103/206438400],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 233/11147673600],
[[[1, 14], [2, 3], [5, 1], [6, 2]], 23/3135283200],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 3481/13934592000],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 4987/111476736000],
[[[1, 14], [2, 3], [6, 1], [7, 1]], 41/696729600],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 306301/9555148800],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 775163/37158912000],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 112649/300987187200],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 2923/2786918400],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 1661/5225472000],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 25596661/535088332800],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 1248851/80263249920],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 23295389/1337720832000],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 823/25082265600],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 16169/9909043200],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 823/6967296000],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 15229/22295347200],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 1693/2239488000],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 52618057/2006581248000],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 266011661/48157949952000],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 171437/114661785600],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 1361/22295347200],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 5987/9364045824],
[[[1, 15], [2, 2], [3, 1], [9, 1]], 227/11147673600],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 15587/22295347200],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 3109/696729600],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 347/42998169600],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 37/557383680],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 13/4180377600],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 27137/10032906240],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 46631/50164531200],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 841/4877107200],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 851/3715891200],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 113/7431782400],
[[[1, 15], [2, 2], [5, 1], [6, 2]], 11/62705664000],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 23/1393459200],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 401/278691840000],
[[[1, 15], [2, 2], [6, 1], [7, 1]], 1/609638400],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 8624377/1560674304000],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 2171609/334430208000],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 5647/195084288000],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 1661/8360755200],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 163/5080320000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 36763/2972712960],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 459343/150493593600],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 1247503/334430208000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 47/25082265600],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 1163/4954521600],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 47/6967296000],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 3991/66886041600],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 23657/250822656000],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 8855569/802632499200],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 195367003/112368549888000],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 25093/80263249920],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 209/27869184000],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 13/6688604160],
[[[1, 15], [4, 1], [5, 1], [8, 1]], 11/27869184000],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 11/5573836800],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 961/23410114560],
[[[1, 16], [2, 1], [3, 1], [9, 1]], 1/1114767360],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 47/5350883328],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 2183/5971968000],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 13/6688604160],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 113/955514880],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 527/16721510400],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 1/222953472],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 241/111476736000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 1/11147673600],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 11/27869184000],
[[[1, 16], [2, 1], [5, 1], [10, 1]], 1/74317824000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 139609/292626432000],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 21793/18579456000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 3337/3511517184000],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 163/8128512000],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 97/60963840000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 49407437/28092137472000],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 2312137/7023034368000],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 291341/668860416000],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 1/25082265600],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 115333/6242697216000],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 1/6967296000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 47/16721510400],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 241/41803776000],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 1911059/668860416000],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 37763179/112368549888000],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 15403/401316249600],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 13031/780337152000],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 688339/5852528640000],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 11/1316818944000],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 97/97542144000],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 11/365783040000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 584489/4682022912000],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 31151/1755758592000],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 8371/334430208000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 493/668860416000],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 1/16721510400],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 11/83607552000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 4147877/9364045824000],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 655489/16855282483200],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 76093/28092137472000],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 11/585252864000],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 151/1170505728000],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 23197/3901685760000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 11/585252864000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 63013/18728091648000],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 1693/4682022912000],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 719/1337720832000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 59/4682022912000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 44027/1123685498880],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 2315/898948399104],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 7/63700992000],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 8359/4682022912000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 709/8026324992000],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 1/374561832960],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 299/9364045824000],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/832359628800],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/28092137472000],
[[[2, 7], [4, 1], [8, 1], [10, 3]], 1/192000],
[[[2, 7], [4, 1], [8, 1], [14, 2]], 1/37632],
[[[2, 7], [4, 2], [6, 1], [10, 3]], 1/768000],
[[[2, 7], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[2, 7], [4, 2], [10, 2], [14, 1]], 1/358400],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 1/20160],
[[[2, 7], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[2, 7], [6, 3], [14, 1], [18, 1]], 1/18144],
[[[2, 7], [6, 4], [10, 1], [14, 1]], 1/90720],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 1/38880],
[[[2, 9], [4, 1], [6, 5], [8, 1]], 1/746496],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 1/368640],
[[[2, 9], [4, 2], [6, 3], [14, 1]], 5/2322432],
[[[2, 9], [4, 2], [6, 3], [18, 1]], 1/331776],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/2488320],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 41/403200],
[[[2, 9], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[2, 9], [6, 2], [14, 1], [18, 1]], 1/72576],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 1/17280],
[[[2, 9], [6, 3], [10, 1], [18, 1]], 1/17280],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 19/29859840],
[[[2, 11], [4, 1], [8, 1], [10, 2]], 113/258048000],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 23/18432000],
[[[2, 11], [4, 2], [6, 2], [14, 1]], 17/15482880],
[[[2, 11], [4, 2], [6, 2], [18, 1]], 1/3317760],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 5/3981312],
[[[2, 11], [4, 2], [10, 1], [14, 1]], 13/12902400],
[[[2, 11], [6, 1], [14, 1], [18, 1]], 1/11612160],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 19/774144],
[[[2, 11], [6, 2], [10, 1], [18, 1]], 59/8294400],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 11/167215104],
[[[2, 13], [4, 1], [8, 1], [14, 1]], 1/203212800],
[[[2, 13], [4, 2], [6, 1], [14, 1]], 13/173408256],
[[[2, 13], [4, 2], [6, 1], [18, 1]], 1/371589120],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 1/4644864],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 1543/812851200],
[[[2, 13], [6, 1], [10, 1], [18, 1]], 19/348364800],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 13/6688604160],
[[[2, 15], [4, 1], [8, 1], [10, 1]], 11/27869184000],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 209/27869184000],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 11/585252864000],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 1/51200],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/144000],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 1/28224],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 11/192000],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 5/37632],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/192000],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/165888],
[[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/10752],
[[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/89600],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/409600],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 1/12000],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/96000],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/10080],
[[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/45360],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/56448],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/28800],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/14112],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 19/172800],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 19/217728],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/10368],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/46656],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 83/1152000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 11/225792],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 1/23040],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/31104],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 5/746496],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/186624],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 11/107520],
[[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/307200],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 7/442368],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/73728],
[[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 23/2322432],
[[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 5/331776],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 7/995328],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/622080],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 3/204800],
[[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 11/614400],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/204800],
[[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/172032],
[[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 1/110592],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/1327104],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/1105920],
[[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/86016],
[[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/143360],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 1/19200],
[[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/103680],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 1/2520],
[[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 1/4320],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 5/290304],
[[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/311040],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/1119744],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/497664],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 317/3456000],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/22680],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/69120],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 137/1866240],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 51/512000],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 91/2488320],
[[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 23/829440],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 413/29859840],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 149/3732480],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 18211/516096000],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 11/7741440],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 101/9216000],
[[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 79/7741440],
[[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 7/1658880],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 53/9953280],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 83/9953280],
[[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 71/6451200],
[[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/229376],
[[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 1/884736],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 7/3538944],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/184320],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 11/4915200],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 59/9216000],
[[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 7/2073600],
[[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/12902400],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 23/2304000],
[[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 17/1935360],
[[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 1/414720],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 7/34560],
[[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 43/518400],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 5/497664],
[[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 13/1612800],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 19/44789760],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 113/387072000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 7/13271040],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 899/154828800],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1381/325140480],
[[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 1/9289728],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 5947/348364800],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 621/28672000],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 1361/130056192],
[[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 23/9289728],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 6151/1672151040],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 4049/167215104],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 47/203212800],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 131/15482880],
[[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/412876800],
[[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 37/27095040],
[[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 1/11612160],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 227/371589120],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 29/9289728],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 73/309657600],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 11/61931520],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1/921600],
[[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 41/154828800],
[[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 13/21676032],
[[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/46448640],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 4939/162570240],
[[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 121/69672960],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 1/580608],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 11/250822656],
[[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/304819200],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 19/743178240],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 571/19508428800],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 34963/41803776000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 24803/39016857600],
[[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/53084160],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 16103/66886041600],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 32623/10450944000],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 2717/55738368000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 11/696729600],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 5471/27869184000],
[[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 17/4644864000],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 209/3483648000],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 13/10032906240],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 11/41803776000],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 17/89181388800],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 23/4180377600],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 3929/1170505728000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 3877/41803776000],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 11/877879296000],
[[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/51200],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 1/25600],
[[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 1/12000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/18000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/3528],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 1/216000],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/42336],
[[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/100800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/72000],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/14112],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 19/192000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 1/5376],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/128000],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/25088],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/82944],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/3072],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 3/179200],
[[[1, 2], [2, 5], [4, 3], [5, 2], [8, 1]], 1/409600],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/73728],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 3/204800],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/20480],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 11/60000],
[[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 2], [2, 5], [5, 1], [7, 1], [10, 2]], 1/5600],
[[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 11/28000],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/48000],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 1/18144],
[[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/38880],
[[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 1/57600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 5/56448],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 13/96000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/2688],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 49/172800],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 47/217728],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1/3456],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/23328],
[[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/134400],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 23/518400],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 167/653184],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 19/93312],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 11/139968],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 49/288000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 13/56448],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 7/69120],
[[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 31/435456],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 7/62208],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 7/746496],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/93312],
[[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 19/307200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 7/55296],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 17/307200],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 1/18432],
[[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 5/55296],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 1/36864],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/138240],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 103/614400],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/3200],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/18432],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/51200],
[[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/43008],
[[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 1/27648],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1/73728],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/276480],
[[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 5/57344],
[[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/327680],
[[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/688128],
[[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 1/294912],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 1/589824],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 1/163840],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 7/28800],
[[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/36288],
[[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/25920],
[[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 53/1555200],
[[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1/2016],
[[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 7/21600],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 1/15360],
[[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 1/4536],
[[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 13/290304],
[[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/4320],
[[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/124416],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 11/746496],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 1/102400],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/147456],
[[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 1/27648000],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 289/576000],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 361/1088640],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 49/311040],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 97/311040],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/93312],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/221184],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 23/5184000],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 41/622080],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/933120],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 943/5598720],
[[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 13/3628800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 13/460800],
[[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 1/73728000],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 7/442368],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1973/4608000],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 3809/17418240],
[[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 161/829440],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 917/14929920],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 263/1866240],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 60607/258048000],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 11/614400],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 253/7741440],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 911/6144000],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 499/5160960],
[[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 77/1105920],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 257/3317760],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 623/6635520],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 53/645120],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 491/4300800],
[[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 1/983040],
[[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 11/344064],
[[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 5/442368],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 11/368640],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 17/614400],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 1/147456],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 1/163840],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 29/320000],
[[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 17/1209600],
[[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 1/259200],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 307/6220800],
[[[1, 2], [2, 9], [5, 1], [7, 1], [10, 1]], 1/12902400],
[[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 31/2016000],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 13/192000],
[[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 1/45360],
[[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 31/483840],
[[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 1/1890],
[[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 1/3600],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 29/622080],
[[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 29/403200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 671/14929920],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 19/4300800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 1171/119439360],
[[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 1/645120],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 7/2949120],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 6511/86016000],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 6901/108380160],
[[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 583/139345920],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 7/1658880],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 49769/261273600],
[[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 13/4838400],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 7/2488320],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/1769472],
[[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 13/48771072],
[[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/104509440],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 2053/130636800],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 11/7741440],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 4519/21504000],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 4649/40642560],
[[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 85/2322432],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 34189/836075520],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 20869/104509440],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 2953/464486400],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 967/9676800],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 13/137625600],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 9629/289013760],
[[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 17/2752512],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 6989/247726080],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 1523/19353600],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 14677/619315200],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 23/5160960],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 23/1843200],
[[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 13/13547520],
[[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/29030400],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 521/66355200],
[[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 1/51609600],
[[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 527/54190080],
[[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 1/1548288],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 1363/8128512],
[[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 1417/87091200],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 25/1161216],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 2537/334430208],
[[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 271/2438553600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 77/79626240],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 23/2786918400],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 73/464486400],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 11/110100480],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 1723/1393459200],
[[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 1/139345920],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 19/92897280],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 52609/2985984000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 19/139345920],
[[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 209/7838208000],
[[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 1/58982400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 237803/19508428800],
[[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 361/557383680],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 168773/33443020800],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 1033057/20901888000],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 43499/27869184000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 599/309657600],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 33461/3096576000],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 8249/34836480000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 5053/3483648000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1147/3715891200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 23/2090188800],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 2413/133772083200],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 17/11147673600],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 1111/4644864000],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 17/16721510400],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 9517/73156608000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 107759/41803776000],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 43951/18728091648000],
[[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 1/25600],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/51200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 3]], 1/768000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/6000],
[[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 1/216000],
[[[1, 3], [2, 4], [3, 1], [5, 3], [10, 1]], 1/60000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 2]], 1/42336],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 3], [2, 4], [3, 1], [7, 2], [10, 1]], 1/11760],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/73728],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/108000],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/21168],
[[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/50400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 1/144000],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/28224],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 3/64000],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/12544],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/25600],
[[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 1/358400],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/192000],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/165888],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/7168],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/2688],
[[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/89600],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/20480],
[[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 3/204800],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 1/40960],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 7/60000],
[[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/5880],
[[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/2800],
[[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 1/4000],
[[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 1/12000],
[[[1, 3], [2, 4], [5, 2], [6, 2], [7, 1]], 1/100800],
[[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 1/28000],
[[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/5600],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 3]], 1/96000],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 7/288000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/8064],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1/12288],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/307200],
[[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 1/688128],
[[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1/294912],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/172800],
[[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1/864000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 2]], 1/169344],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/1764],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 41/172800],
[[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 37/217728],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/46656],
[[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 1/589824],
[[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/21600],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 23/172800],
[[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/72576],
[[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 391/653184],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 19/31104],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 11/69984],
[[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/172800],
[[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/24192],
[[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/77760],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 1/7680],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 13/37632],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/82944],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 1/13824],
[[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 5/108864],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 5/62208],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/248832],
[[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/186624],
[[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 1/3072],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 7/38400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 9/51200],
[[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/460800],
[[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 7/614400],
[[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 9/512000],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 65/221184],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 77/921600],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 103/1161216],
[[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 25/165888],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 11/331776],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 7/622080],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 203/614400],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 91/102400],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 5/18432],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/30720],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 11/258048],
[[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 23/663552],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/184320],
[[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/57344],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 19/86016],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 3/71680],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1/163840],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 1/65536],
[[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 1/172032],
[[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 1/73728],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 1/98304],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 3/81920],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 11/28800],
[[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 13/181440],
[[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 61/1555200],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/7680],
[[[1, 3], [2, 6], [5, 2], [6, 1], [7, 1]], 1/403200],
[[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 1/4800],
[[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 1/15360],
[[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 11/290304],
[[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/311040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 17/124416],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 85/746496],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 1/19200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 163/3981312],
[[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1/64512],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 1/196608],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1/786432],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1/38880],
[[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 1/115200],
[[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/691200],
[[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/864000],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1079/1152000],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 3187/4354560],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 289/622080],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 1/20736],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 107/233280],
[[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 1/11612160],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 511/2239488],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/153600],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 13/221184],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1/147456],
[[[1, 3], [2, 8], [3, 2], [5, 1], [7, 1]], 1/58060800],
[[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 1/24883200],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 119/3456000],
[[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 1/290304],
[[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 1/124416],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 2059/4354560],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 23/622080],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 395/559872],
[[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 29/907200],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/96768],
[[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 11/622080],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 7/622080],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 649/2304000],
[[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 1/2304000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 4481/6912000],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 3481/8709120],
[[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 517/1244160],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 11/110592],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 1/5760],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 5119/9216000],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 3/25600],
[[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 1/1843200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1943/7741440],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1873/4608000],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 1367/3870720],
[[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 251/829440],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 277/1105920],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 1171/4976640],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 593/1290240],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 169/460800],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 9/327680],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 223/2064384],
[[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 47/884736],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 631/3538944],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1/9216],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 247/983040],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 5/98304],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 13/491520],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 43/120000],
[[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 31/302400],
[[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 1/21600],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 13/77760],
[[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 1/403200],
[[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 17/126000],
[[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 7/576000],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 29/192000],
[[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 17/120960],
[[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 143/241920],
[[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 13/34560],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 23/311040],
[[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 41/201600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 169/552960],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 3407/129024000],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 17183/119439360],
[[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/123863040],
[[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/53084160],
[[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 1/53760],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 431/13271040],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 1/276480],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 7/1228800],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 1/524288],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 7/1036800],
[[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/110592000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 409/1290240],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 3301/10160640],
[[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 143/3483648],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 23/552960],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 171251/261273600],
[[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 71/2419200],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 2483/22394880],
[[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/967680],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 167/8847360],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/106168320],
[[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 11/464486400],
[[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/46448640],
[[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/19906560],
[[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 23/1905120],
[[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 1/3483648],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/221184],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 46663/261273600],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 1/331776],
[[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/777600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 53/6220800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 1/268800],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 37/1935360],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 10411/15482880],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 2381/5419008],
[[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 12503/69672960],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 22469/139345920],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 113129/209018880],
[[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 1/10321920],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 409/7225344],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 7979/19353600],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/29491200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 2519/412876800],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 25117/108380160],
[[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 2797/46448640],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 3923/17694720],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 101357/232243200],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 67021/309657600],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 4793/61931520],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 1/9216],
[[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 527/33868800],
[[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 1/967680],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 7879/116121600],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/1720320],
[[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 5483/108380160],
[[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 89/15482880],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 31/75600],
[[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 31/518400],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 59/725760],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 56179/557383680],
[[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 11/5443200],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 63991/2229534720],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 103/398131200],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 703/232243200],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 8549/2972712960],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 19/58060800],
[[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 1/154828800],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 296881/19508428800],
[[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 1/4354560],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 778039/5971968000],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 1861/238878720],
[[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 23/4180377600],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 73/696729600],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 11/20643840],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 12613/7838208000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 227/232243200],
[[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 23/1161216000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 2017/2064384000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 3345563/39016857600],
[[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 2663/371589120],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 915811/22295347200],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 711757/2612736000],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 107827/6193152000],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 11323/371589120],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 3343511/27869184000],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 291251/69672960000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 41609/3483648000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 3937/557383680],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 23/5573836800],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 10247/41803776000],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 13007/13377208320],
[[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 17/6967296000],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 53/928972800],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 2981/836075520],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 113/2508226560],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 11/435456000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 491/247726080],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 14561/557383680],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 47123/520224768000],
[[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 1/51200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/192000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 1/37632],
[[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 1/12000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/108000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [8, 1]], 1/96000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 7/60000],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/21168],
[[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/5880],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 1/144000],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/36864],
[[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/36000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 1/216000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [14, 2]], 1/42336],
[[[1, 4], [2, 3], [3, 2], [10, 2], [14, 1]], 1/100800],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/165888],
[[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 1/43200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/25600],
[[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 3/64000],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/12544],
[[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/89600],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 3]], 1/768000],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/2688],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/7168],
[[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 1/358400],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 1/40960],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/73728],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 3/204800],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/20480],
[[[1, 4], [2, 3], [5, 1], [6, 1], [10, 3]], 1/60000],
[[[1, 4], [2, 3], [5, 1], [6, 1], [14, 2]], 1/11760],
[[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/5600],
[[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 1/28000],
[[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/6000],
[[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/50400],
[[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 1/4000],
[[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/2800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 7/1152000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/96000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/18816],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/122880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/3072],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/153600],
[[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1/172032],
[[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 1/73728],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/57600],
[[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/108000],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/21168],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 7/86400],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 13/42336],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 11/172800],
[[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 1/368640],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 13/147456],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/460800],
[[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 1/73728],
[[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 1/36864],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/98304],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 7/43200],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 23/518400],
[[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/19200],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 23/172800],
[[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 5/72576],
[[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 281/653184],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 19/31104],
[[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 11/139968],
[[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 1/774144],
[[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 1/331776],
[[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/1105920],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 13/1327104],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/77760],
[[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 19/217728],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 19/93312],
[[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/38880],
[[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/60480],
[[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/76800],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 11/288000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 11/56448],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 1/69120],
[[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 1/145152],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1/62208],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 1/7168],
[[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/2688],
[[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 13/40960],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 151/768000],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/230400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 19/307200],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 149/1536000],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 77/1843200],
[[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 101/2322432],
[[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 25/331776],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 13/995328],
[[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 13/2488320],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 7/30720],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 7/7680],
[[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/143360],
[[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/307200],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 17/36864],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 5/129024],
[[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 7/221184],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 5/43008],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/4096],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/35840],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 3/81920],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1/32768],
[[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 1/114688],
[[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 1/49152],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 5/294912],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1/16384],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 7/28800],
[[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 11/181440],
[[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 1/8640],
[[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 23/1555200],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 7/38400],
[[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 1/50400],
[[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/5400],
[[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 1/12800],
[[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 1/134400],
[[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 1/24192],
[[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 1/120960],
[[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 1/51840],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 121/1119744],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 307/1492992],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 1/24576],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 49/614400],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 113/995328],
[[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 17/2064384],
[[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 17/884736],
[[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 1/18432],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 1/491520],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 13/442368],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 5/98304],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/122880],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 5/786432],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 1/12960],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 13/115200],
[[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 1/76800],
[[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/108000],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 49/64800],
[[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/32256],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 31/46656],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 13/23328],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1/20736],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 193/699840],
[[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 1/362880],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 1169/2239488],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 887/2985984],
[[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/96768],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 119/1327104],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 37/3538944],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/184320],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 7/589824],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/13824],
[[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/1814400],
[[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 1/777600],
[[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 1/414720],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 307/3456000],
[[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 11/290304],
[[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 1/13824],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 4457/4354560],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 11/69120],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1423/1399680],
[[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 41/453600],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 31/124416],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 1/24576],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 1/442368],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1/311040],
[[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/870912],
[[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 1/373248],
[[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 5/72576],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 11/77760],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 17/622080],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 929/1152000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/460800],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/288000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 17/256000],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 13/110592],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 13/30720],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 515/1741824],
[[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 31/82944],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 133/1990656],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 157/1866240],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 1363/2457600],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 13/51200],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 7/414720],
[[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/230400],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 59/92160],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 8093/18432000],
[[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/64512],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 7667/15482880],
[[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 179/368640],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 155/497664],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 4411/19906560],
[[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 1/12288],
[[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/17920],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 37/36864],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 6103/12902400],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 37/983040],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 247/1638400],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 101/516096],
[[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 29/221184],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 5/12288],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 31/184320],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 103/153600],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 25/147456],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 13/245760],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 557/960000],
[[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 17/75600],
[[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 1/7200],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 349/1555200],
[[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/50400],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1537/4032000],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 197/1728000],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 11/129024],
[[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 79/276480],
[[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 37/165888],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 1/20736],
[[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/36864000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 5921/8957952],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 559/6912000],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 15059/23887872],
[[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 1/3870720],
[[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 1/1658880],
[[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 17/215040],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 5333/26542080],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 19/552960],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 19/460800],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 455/14155776],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 23/345600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/12902400],
[[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 1/16588800],
[[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 11/36864000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 613/1036800],
[[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 1/129024],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 12539/17418240],
[[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 55/373248],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 1/8640],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 110909/111974400],
[[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 1693/14515200],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 3793/5598720],
[[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/30965760],
[[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 1/19906560],
[[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 1/80640],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 7993/39813120],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1/368640],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 7/1843200],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 7/663552],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 1/92160],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 13/17203200],
[[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 1/1327104],
[[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 11/6635520],
[[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 21863/243855360],
[[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 89/34836480],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1/24576],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 42617/65318400],
[[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/199065600],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 187/4976640],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/238878720],
[[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/49766400],
[[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 47/3110400],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 47/777600],
[[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/25804800],
[[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 1/22400],
[[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 1/1843200],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 289/3870720],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 1469/1536000],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 4369/5806080],
[[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 319/829440],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 3691/13271040],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 613/933120],
[[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 7/2211840],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 257/1290240],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 463/604800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 5/221184],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1/102400],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 59663/688128000],
[[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 1/258048],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 283711/433520640],
[[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 7859/37158912],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 40591/61931520],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 104773/116121600],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1111/1474560],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1/737280],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 1441/3440640],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 19/51200],
[[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 5483/67737600],
[[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 89/9676800],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 25961/116121600],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 89/17203200],
[[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 47/430080],
[[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 31/1658880],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 9487/19353600],
[[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 19/184320],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1197923/2508226560],
[[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/123863040],
[[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/53084160],
[[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 2747/162570240],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 1/88473600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 139019/557383680],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 24481/5573836800],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 5171/232243200],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 111697/2972712960],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 1/153600],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 71/309657600],
[[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 1/20643840],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 39049/487710720],
[[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 491/209018880],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 167/6193152],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 224053/522547200],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 155381/1672151040],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 1783/9555148800],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 703/348364800],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 19927/2229534720],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 1/44236800],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 145559/7838208000],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 41/111476736],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 1781/116121600],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 1783/2654208000],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 88507/6193152000],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 93773/325140480],
[[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 4831/139345920],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 56969/371589120],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 23839/34836480],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 26119/309657600],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 53/19353600],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 128027/696729600],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 1004011/1990656000],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 1063019/34836480000],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 3281/77414400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 6242533/100329062400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 767/5573836800],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 4957/1741824000],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 4039367/267544166400],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 53/580608000],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 1381/1857945600],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 616639/25082265600],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 48407/50164531200],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 1273/1741824000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 80849/5573836800],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 5258851/41803776000],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 1137677/802632499200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/128000],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/25088],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 1/216000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 11/60000],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/42336],
[[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/9408],
[[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/11760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/72000],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/14112],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/73728],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 1/18000],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/3528],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/82944],
[[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/21600],
[[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/90720],
[[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/38880],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 19/192000],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 1/5376],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 3/179200],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/20480],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 3/204800],
[[[1, 5], [2, 2], [4, 3], [8, 1], [10, 2]], 1/409600],
[[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 1/12000],
[[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/100800],
[[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 1/22400],
[[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 11/28000],
[[[1, 5], [2, 2], [5, 2], [10, 1], [14, 1]], 1/5600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 11/288000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 11/56448],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/38400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 17/36864],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/307200],
[[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 1/114688],
[[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 1/49152],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 1/57600],
[[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 1/134400],
[[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 7/86400],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 13/42336],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/108000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/21168],
[[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 1/50400],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 77/1843200],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 5/18432],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/230400],
[[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 5/129024],
[[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 5/294912],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/5400],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 23/172800],
[[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 7/28800],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 23/518400],
[[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 19/217728],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 19/93312],
[[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 1/69120],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/165888],
[[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 101/2322432],
[[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 25/331776],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/276480],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 7/221184],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/38880],
[[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 1/120960],
[[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 11/172800],
[[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 281/653184],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 19/31104],
[[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 5/72576],
[[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/77760],
[[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/96768],
[[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 11/181440],
[[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 1/145152],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1/62208],
[[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 13/2488320],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 13/995328],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 11/139968],
[[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 23/1555200],
[[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/10368],
[[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/96000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/18816],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 7/1152000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/32256],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/2688],
[[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 1/7168],
[[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/76800],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 7/7680],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 149/1536000],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/460800],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 7/30720],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 151/768000],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 13/147456],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 1/368640],
[[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 1/774144],
[[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 1/331776],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 19/307200],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 13/40960],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/35840],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/153600],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/122880],
[[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 1/73728],
[[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 1/36864],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 13/1327104],
[[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/1105920],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/4096],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 5/43008],
[[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/143360],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1/16384],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1/32768],
[[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1/172032],
[[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 1/73728],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/98304],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 3/81920],
[[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/19200],
[[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/60480],
[[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/25920],
[[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 7/43200],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 7/38400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 5/186624],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 41/1228800],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 59/497664],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 23/73728],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 7/153600],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 133/995328],
[[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 11/147456],
[[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 41/442368],
[[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 1/16128],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 11/491520],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 49/884736],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 7/36864],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1/61440],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 5/393216],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/12960],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1/3456],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 19/345600],
[[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 1/8000],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 7/27648],
[[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/9072],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 157/653184],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 35/124416],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 313/5598720],
[[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 1/45360],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 7/552960],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 901/2239488],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/49152],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 1423/2985984],
[[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 5/114688],
[[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 49/663552],
[[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 7/368640],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 13/55296],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/61440],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 19/442368],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 13/51840],
[[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1/226800],
[[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 1/97200],
[[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 53/518400],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 11/32256],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 13/62208],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 67/72576],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 25/93312],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 277/466560],
[[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/16128],
[[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 13/20736],
[[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/165888],
[[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 7/497664],
[[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 37/6635520],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 1639/5971968],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 43/1990656],
[[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 7/414720],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 25/442368],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 73/622080],
[[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 17/691200],
[[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 1/46656],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 5/36288],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 47/155520],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 73/746496],
[[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/207360],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 7/497664],
[[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 1/2799360],
[[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/38880],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 13/622080],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 3/40960],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1091/1152000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/38400],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 37/2457600],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1061/2304000],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1/12288],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 107/921600],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 293/3483648],
[[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 23/165888],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 31/1990656],
[[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 43/3732480],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 173/819200],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 7/30720],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 7/207360],
[[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 37/860160],
[[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 1/7680],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 11/921600],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 17/24576],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 377/1843200],
[[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 1/24192],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 47/172032],
[[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 107/331776],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 77/497664],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 29/368640],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 125/258048],
[[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 265/258048],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 109/430080],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/61440],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 13/40960],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 1583/4915200],
[[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 1/43008],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 125/688128],
[[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 143/884736],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1373/3538944],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 19/184320],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 1187/1638400],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1/122880],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 13/49152],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 13/245760],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1949/4608000],
[[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/26880],
[[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/5040],
[[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 53/414720],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 17/89600],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 311/716800],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 31/108000],
[[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 7/153600],
[[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 5/129024],
[[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1/17280],
[[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 3/35840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/1152000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 5437/8957952],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 497/3686400],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 8399/7962624],
[[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 1111/123863040],
[[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 1111/53084160],
[[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 13/86016],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 1/92160],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 3553/6635520],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 811/4423680],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 451/3686400],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 2041/14155776],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 23/115200],
[[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 293/116121600],
[[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 97/49766400],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 53/6912000],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 10073/18432000],
[[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 173/2322432],
[[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1/995328],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 53959/69672960],
[[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 2443/9953280],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 11/82944],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 32077/44789760],
[[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/645120],
[[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/276480],
[[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 113/518400],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 65719/44789760],
[[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 1/967680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 1/622080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 23/483840],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 31739/39813120],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 329/8847360],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 227/5529600],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 205/1769472],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 11/103680],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 257/38707200],
[[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 23/1935360],
[[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 23/1244160],
[[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 499/1935360],
[[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 31/3732480],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 1/8192],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 13741/12441600],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/6220800],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 169/829440],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/7464960],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 469/23887872],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 23/12441600],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 217/3110400],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 1/2985984],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 197/1555200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 1/806400],
[[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 23/134400],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/102400],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 23/184320],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 6097/9216000],
[[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 1/96768],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 29053/46448640],
[[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 337/829440],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 599/2654208],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 22403/59719680],
[[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 13/483840],
[[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 1649/5160960],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 27407/38707200],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 143/1105920],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 329/2457600],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 460319/1032192000],
[[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 13/387072],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 317/368640],
[[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 383/1105920],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 48071/53084160],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 1879/2211840],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 19031/14745600],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1/30720],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 19487/20643840],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 17/30720],
[[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/107520],
[[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 47/268800],
[[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 31/1036800],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 3727/11059200],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 139/7372800],
[[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 107/1032192],
[[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 11/442368],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 383/1290240],
[[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 53/552960],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 13/138240],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 2554631/2508226560],
[[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 1/2949120],
[[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 17/26542080],
[[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 53/774144],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 7/17694720],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 109759/123863040],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 3029/92897280],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 877/11059200],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 642413/2972712960],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 181/3870720],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 53/18579456],
[[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 23/13271040],
[[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 1/3981312],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 409049/1950842880],
[[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 353/34836480],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 1723/23224320],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 597869/836075520],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/22118400],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 372473/836075520],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 72409/33443020800],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 9019/696729600],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 31763/557383680],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 53/66355200],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 14509/174182400],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 1091/185794560],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 17993/232243200],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 71989/9289728000],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 522833/6193152000],
[[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 1/387072],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 94349/185794560],
[[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 2231/26542080],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 212137/743178240],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 43679/49766400],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 18029/88473600],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 5741/154828800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 99371/185794560],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 307187/309657600],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 26857/258048000],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 797/11059200],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 1/132710400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 70069/265420800],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 25793/16721510400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 23603/1393459200],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 8901811/89181388800],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 5629/4644864000],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 3047/696729600],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 12233/139968000],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 965141/100329062400],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 6427/870912000],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 153961/2786918400],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 953137/2985984000],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 17790071/1605264998400],
[[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000],
[[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/192000],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/37632],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/5880],
[[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/96000],
[[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/12000],
[[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/144000],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 1/28224],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/10080],
[[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/5400],
[[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/36000],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/165888],
[[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/43200],
[[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/9072],
[[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/45360],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 11/192000],
[[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 5/37632],
[[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/89600],
[[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/10752],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/409600],
[[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/5600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 13/37632],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 5/18432],
[[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 1/172032],
[[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 1/73728],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/172800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 1/4800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/7200],
[[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/1764],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1/864000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [14, 2]], 1/169344],
[[[1, 6], [2, 3], [3, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 77/921600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 65/221184],
[[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/460800],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 11/258048],
[[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 1/98304],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/14400],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 23/172800],
[[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 11/28800],
[[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/24192],
[[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 1/6048],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/82944],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 103/1161216],
[[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 25/165888],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 23/663552],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/77760],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/10080],
[[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 41/172800],
[[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/172800],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 391/653184],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 19/31104],
[[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/72576],
[[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 11/290304],
[[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 13/181440],
[[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 5/108864],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 5/62208],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 7/622080],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 11/331776],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 11/69984],
[[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/311040],
[[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 61/1555200],
[[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 37/217728],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/186624],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/248832],
[[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/46656],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 7/38400],
[[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 7/288000],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/8064],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 1/3072],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 91/102400],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 9/512000],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 203/614400],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 9/51200],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 7/614400],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 3/71680],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/307200],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 19/86016],
[[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/57344],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 3/81920],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 1/65536],
[[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 1/688128],
[[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1/294912],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 1/589824],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1/163840],
[[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/33600],
[[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/21600],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 377/1843200],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 7/497664],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 17/24576],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 11/921600],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 25/442368],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 125/688128],
[[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 143/884736],
[[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 1/43008],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 13/245760],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 19/442368],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 13/49152],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1/122880],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 5/393216],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/38880],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 31/108000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 53/518400],
[[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 7/153600],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1949/4608000],
[[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1/38400],
[[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 5/36288],
[[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 1/46656],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 1/2799360],
[[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 1/16128],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 107/921600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 73/746496],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1/12288],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/38400],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 1639/5971968],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 47/172032],
[[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 107/331776],
[[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 1/24192],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 19/184320],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 13/55296],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1373/3538944],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/61440],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 49/884736],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 47/155520],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/20160],
[[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1/17280],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 7/27648],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 19/345600],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 67/72576],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 25/93312],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 11/32256],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 13/62208],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 73/622080],
[[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 5/129024],
[[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 1/6480],
[[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 13/20736],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 293/3483648],
[[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 23/165888],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 29/368640],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 1423/2985984],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 77/497664],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 7/207360],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 133/995328],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 277/466560],
[[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 1/92160],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 53/414720],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 157/653184],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 35/124416],
[[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/9072],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 13/51840],
[[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 43/3732480],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 901/2239488],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 31/1990656],
[[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 13/622080],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 59/497664],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 313/5598720],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 1/62208],
[[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/12960],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 5/186624],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/207360],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 7/30720],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1061/2304000],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/19200],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 173/819200],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1091/1152000],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/49152],
[[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 7/552960],
[[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/165888],
[[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 7/497664],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 37/2457600],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 3/40960],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 7/414720],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 109/430080],
[[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 1/6720],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 7/153600],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 23/73728],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 41/1228800],
[[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 5/114688],
[[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 49/663552],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 43/1990656],
[[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 37/6635520],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 265/258048],
[[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 125/258048],
[[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 37/860160],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/61440],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 1187/1638400],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 1583/4915200],
[[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 1/16128],
[[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 11/147456],
[[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 41/442368],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 1/6912],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 7/368640],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 13/40960],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1/61440],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 7/36864],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 11/491520],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 1/8000],
[[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/10080],
[[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/16128],
[[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 1/17280],
[[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 17/691200],
[[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 3/35840],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 311/716800],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 17/89600],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1/3456],
[[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 1/45360],
[[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1/226800],
[[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 1/97200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 653/18432000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 2075/8957952],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 223/1843200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 18337/23887872],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 47/344064],
[[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 53/442368],
[[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 61/387072],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 7/61440],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 18073/26542080],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 1061/1769472],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 1/5760],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 4037/14155776],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 7/25920],
[[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 11/518400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 1/62208],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 2311/41472000],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 4621/18432000],
[[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 139/580608],
[[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 1/165888],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 28313/69672960],
[[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 2071/9953280],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 7/110592],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 5251/22394880],
[[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 1/1032192],
[[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 19/322560],
[[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 1/442368],
[[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 2893/14515200],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 4387/2985984],
[[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 137/3870720],
[[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 443/9953280],
[[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 1/13824],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 119/2211840],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 6031/3981312],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 11483/53084160],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 107/691200],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 373/884736],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 25/55296],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 247/3317760],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 283/2903040],
[[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 671/7464960],
[[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 13/36864],
[[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 11/995328],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 43/221184],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 403/414720],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 379/49766400],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 691/933120],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 469/59719680],
[[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 13/414720],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 5453/23887872],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1067/37324800],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/110592],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 193/1036800],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 223/8957952],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 11/103680],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 379/6451200],
[[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1/3840],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 199/3686400],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 7/73728],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 1237/5529600],
[[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 1/21504],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 47/193536],
[[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 209/995328],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 631/7962624],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 91/995328],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1723/15482880],
[[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 3/17920],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 1333/5160960],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 23/71680],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 31/138240],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 947/1638400],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 139531/147456000],
[[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 19/193536],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 2201/4128768],
[[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 1531/5308416],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 6647/10616832],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 5/13824],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 17459/14745600],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 29/245760],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 289/276480],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 47/122880],
[[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 13/161280],
[[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 107/645120],
[[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 11/276480],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 893/3686400],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 17/491520],
[[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 19/516096],
[[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 1/73728],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 559/5806080],
[[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 649/12441600],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 7/276480],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 19649/17915904],
[[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 649/123863040],
[[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 1171/159252480],
[[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 223/1548288],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 307/29491200],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 422959/278691840],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 157/1105920],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 509/2764800],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 925853/1486356480],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 9013/58060800],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 1793/103219200],
[[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 727/37158912],
[[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 1/331776],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 288353/975421440],
[[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 149/6967296],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 421/4423680],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 1335517/2090188800],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 49/33177600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 2887/2654208],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 9965/891813888],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1337/33177600],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 103781/445906944],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 293/26542080],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 839/4147200],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 32609/836075520],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 1843/11059200],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 79999/2064384000],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 111461/442368000],
[[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 1/36864],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 1003/2064384],
[[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 4439/39813120],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 2951/10616832],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 6551/11059200],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 3979/14745600],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 167/1032192],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 4439/5308416],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 44291/44236800],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 833/4608000],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 649/11059200],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 41/132710400],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 56951/95551488],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 273653/33443020800],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 4717/87091200],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 89567/265420800],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 54737/6967296000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 97/7741440],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 778607/4478976000],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 2011/41803776],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 1283/37158912],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 214801/1857945600],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 30007/66355200],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 2176067/45864714240],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 49/288000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 13/56448],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/51200],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/18432],
[[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/688128],
[[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1/2016],
[[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 7/21600],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 13/96000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/2688],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 17/307200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 7/55296],
[[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/43008],
[[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 1/589824],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 23/518400],
[[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 1/15360],
[[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 7/28800],
[[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 1/4536],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 7/69120],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/165888],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 1/18432],
[[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 5/55296],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1/73728],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/4320],
[[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/3240],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 49/172800],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 167/653184],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 19/93312],
[[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 13/290304],
[[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/36288],
[[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/25920],
[[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 31/435456],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 7/62208],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/138240],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 1/36864],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 11/139968],
[[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/155520],
[[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 53/1555200],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 47/217728],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/93312],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 7/746496],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/23328],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/4200],
[[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 1/57600],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 5/56448],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/3200],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 103/614400],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 19/307200],
[[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/35840],
[[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 5/57344],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 1/163840],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/327680],
[[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/134400],
[[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 1/38400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 8093/18432000],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 59/92160],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/230400],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 1/442368],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 101/516096],
[[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 29/221184],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 13/245760],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 7/589824],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 25/147456],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 5/786432],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 197/1728000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 307/3456000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/7200],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 557/960000],
[[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 1/414720],
[[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 5/72576],
[[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/870912],
[[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 1/373248],
[[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 11/129024],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 13/30720],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 13/110592],
[[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/460800],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 1/24576],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 7667/15482880],
[[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 179/368640],
[[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/64512],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 31/184320],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 119/1327104],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 5/12288],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/184320],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 13/442368],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 11/77760],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 79/276480],
[[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 37/165888],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 49/64800],
[[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 1/76800],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 4457/4354560],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 11/69120],
[[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 11/290304],
[[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1/311040],
[[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 17/75600],
[[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 1/10368],
[[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 1/7200],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 31/124416],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 515/1741824],
[[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 31/82944],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 4411/19906560],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 887/2985984],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 155/497664],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 7/414720],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 113/995328],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1423/1399680],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 1/20736],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 349/1555200],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 31/46656],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 13/23328],
[[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 157/1866240],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 1169/2239488],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 133/1990656],
[[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 17/622080],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 307/1492992],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 193/699840],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1/20736],
[[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 1/12960],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 121/1119744],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 13/51200],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 17/256000],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 1/28800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 1363/2457600],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 929/1152000],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/288000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 6103/12902400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/17920],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 49/614400],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 1/24576],
[[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 37/36864],
[[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 1/26880],
[[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 1/12288],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 103/153600],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 247/1638400],
[[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 1/18432],
[[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 17/2064384],
[[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 17/884736],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 37/3538944],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 37/983040],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/122880],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 5/98304],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 1/491520],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/108000],
[[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 41/453600],
[[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1537/4032000],
[[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/50400],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 13/115200],
[[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 1/362880],
[[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/1814400],
[[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 1/777600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 1237/5529600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 223/8957952],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 7/73728],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 199/3686400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 5453/23887872],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 2201/4128768],
[[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 1531/5308416],
[[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 19/193536],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 47/122880],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 373/884736],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 289/276480],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 29/245760],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 4037/14155776],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 193/1036800],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 559/5806080],
[[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 649/12441600],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 4621/18432000],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 2311/41472000],
[[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 13/36864],
[[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 11/995328],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 283/2903040],
[[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 671/7464960],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/110592],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1067/37324800],
[[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 19/516096],
[[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 107/645120],
[[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 1/73728],
[[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 11/276480],
[[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 13/161280],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 691/933120],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 47/193536],
[[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 209/995328],
[[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 1/21504],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 5/13824],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 6031/3981312],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 6647/10616832],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 31/138240],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 18073/26542080],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 403/414720],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 7/276480],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 893/3686400],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 28313/69672960],
[[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 2071/9953280],
[[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 139/580608],
[[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 1/165888],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 43/221184],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 25/55296],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 91/995328],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 4387/2985984],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 631/7962624],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 11/103680],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 18337/23887872],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 5251/22394880],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 7/110592],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 7/25920],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 2075/8957952],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 13/414720],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 23/71680],
[[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 3/17920],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 223/1843200],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 653/18432000],
[[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 1/13824],
[[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 137/3870720],
[[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 443/9953280],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 469/59719680],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 379/49766400],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 1333/5160960],
[[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1/3840],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1723/15482880],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 379/6451200],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 107/691200],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 17459/14745600],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 139531/147456000],
[[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 61/387072],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 47/344064],
[[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 53/442368],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 11483/53084160],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 119/2211840],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 947/1638400],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 1/5760],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 1061/1769472],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 7/61440],
[[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 2893/14515200],
[[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 19/322560],
[[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/46080],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 247/3317760],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 17/491520],
[[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 1/1032192],
[[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 1/442368],
[[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 11/518400],
[[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 1/62208],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 27679/44789760],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 61/1032192],
[[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 691/19906560],
[[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 1/6144],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 10879/88473600],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 219791/159252480],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 401/983040],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 3329/11059200],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 72649/70778880],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 29/103680],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/1228800],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 2929/38707200],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 247/2580480],
[[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 25/1990656],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 7117/30965760],
[[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 173/7464960],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 25/442368],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 60847/199065600],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 29/921600],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 16099/9953280],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 13717/318504960],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 3421/33177600],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 3539/4976640],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 637/8294400],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 11/884736],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 2497/8294400],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 22561/119439360],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 1177/6635520],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 1803/16384000],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 62701/147456000],
[[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 107/1105920],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 15263/61931520],
[[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 6653/79626240],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 45683/318504960],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 187/921600],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 94183/442368000],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 673/2211840],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 19933/26542080],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 22877/44236800],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 2179/13271040],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 71/3686400],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 613/132710400],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 2585117/3344302080],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 216061/8360755200],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 144779/1393459200],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 5955899/8918138880],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 139271/4644864000],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 133/7077888],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 89989/435456000],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 1644257/11147673600],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 20033/232243200],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 783637/5573836800],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 121687/331776000],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 19066661/160526499840],
[[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/64512],
[[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/46080],
[[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/322560],
[[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/138240],
[[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 5/290304],
[[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 83/1152000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 11/225792],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/204800],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 1/2520],
[[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 1/4320],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/28800],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/14112],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/73728],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 7/442368],
[[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/172032],
[[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/46080],
[[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 1/19200],
[[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 1/9072],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 1/23040],
[[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 23/2322432],
[[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 5/331776],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/1327104],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/5040],
[[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 1/4320],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 19/172800],
[[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 5/290304],
[[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/31104],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/20736],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/622080],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 7/995328],
[[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/311040],
[[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/103680],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 19/217728],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/10368],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/186624],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 5/746496],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/46656],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 11/107520],
[[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/288000],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 11/614400],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 3/204800],
[[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/307200],
[[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/143360],
[[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/86016],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1873/4608000],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1943/7741440],
[[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 1/1843200],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 223/2064384],
[[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 47/884736],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 13/491520],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 5/98304],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1/786432],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 7/576000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 119/3456000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 29/192000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 43/120000],
[[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/96768],
[[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 1/16128],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 4481/6912000],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 1/13824],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 1367/3870720],
[[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 251/829440],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1/9216],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1/147456],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 631/3538944],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 1/196608],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 11/622080],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 143/241920],
[[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 13/34560],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1079/1152000],
[[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/691200],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 2059/4354560],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 23/622080],
[[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 1/290304],
[[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 1/124416],
[[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 17/120960],
[[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 31/302400],
[[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 1/11520],
[[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 1/21600],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 3481/8709120],
[[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 517/1244160],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 1171/4976640],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 13/221184],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 277/1105920],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 163/3981312],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 395/559872],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 23/311040],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 13/77760],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 3187/4354560],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 289/622080],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 1/27648],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 1/5760],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 511/2239488],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 11/110592],
[[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 7/622080],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 85/746496],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 107/233280],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 1/20736],
[[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1/38880],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 17/124416],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 3/25600],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/153600],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 5119/9216000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 649/2304000],
[[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 1/2304000],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 169/460800],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 593/1290240],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 247/983040],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 9/327680],
[[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1/64512],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/864000],
[[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 29/907200],
[[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 41/201600],
[[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 17/126000],
[[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 1/403200],
[[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 1/115200],
[[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 1/11612160],
[[[1, 8], [2, 3], [6, 2], [10, 1], [14, 1]], 1/58060800],
[[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 1/24883200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 6097/9216000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 1/2985984],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 23/184320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/102400],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 469/23887872],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 317/368640],
[[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 383/1105920],
[[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 13/387072],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 17/30720],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 205/1769472],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 19487/20643840],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1/30720],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 2041/14155776],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 217/3110400],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 383/1290240],
[[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 53/552960],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 10073/18432000],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 53/6912000],
[[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 499/1935360],
[[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 31/3732480],
[[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 23/1935360],
[[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 23/1244160],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 23/12441600],
[[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 107/1032192],
[[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 47/268800],
[[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 11/442368],
[[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 31/1036800],
[[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 169/829440],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 29053/46448640],
[[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 337/829440],
[[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 1/96768],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 1879/2211840],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 31739/39813120],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 48071/53084160],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 143/1105920],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 3553/6635520],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 13741/12441600],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 13/138240],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 3727/11059200],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 53959/69672960],
[[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 2443/9953280],
[[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 173/2322432],
[[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1/995328],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 1/8192],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 11/103680],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 22403/59719680],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 65719/44789760],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 599/2654208],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 197/1555200],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 8399/7962624],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 32077/44789760],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 11/82944],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 23/115200],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 5437/8957952],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 27407/38707200],
[[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/26880],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 497/3686400],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/1152000],
[[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 23/483840],
[[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 1/967680],
[[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 1/622080],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/7464960],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/6220800],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 1649/5160960],
[[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 23/134400],
[[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 13/483840],
[[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 1/806400],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 227/5529600],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 19031/14745600],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 460319/1032192000],
[[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 13/86016],
[[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 1111/123863040],
[[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 1111/53084160],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 329/8847360],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 329/2457600],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 451/3686400],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 811/4423680],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 113/518400],
[[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/645120],
[[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/276480],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 257/38707200],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 139/7372800],
[[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 293/116121600],
[[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 97/49766400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 22561/119439360],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 15263/61931520],
[[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 6653/79626240],
[[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 107/1105920],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 22877/44236800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 3539/4976640],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 19933/26542080],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 673/2211840],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 72649/70778880],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 2497/8294400],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 71/3686400],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 2179/13271040],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 7117/30965760],
[[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 173/7464960],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 247/2580480],
[[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 25/1990656],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 11/884736],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 637/8294400],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 187/921600],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 16099/9953280],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 45683/318504960],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 1177/6635520],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 219791/159252480],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 60847/199065600],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 25/442368],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 29/103680],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 27679/44789760],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 3421/33177600],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 94183/442368000],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 62701/147456000],
[[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 1/6144],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 61/1032192],
[[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 691/19906560],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 13717/318504960],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 29/921600],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 1803/16384000],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 3329/11059200],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 401/983040],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 10879/88473600],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 2929/38707200],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/1228800],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 27139/663552000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 164431/265420800],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 656333/11147673600],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 2269/16588800],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 3173287/3567255552],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 26567/331776000],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 323/17694720],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 5743/36864000],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1906847/5573836800],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 17401/132710400],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 598529/5573836800],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 55799/331776000],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 12660307/66886041600],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 911/6144000],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 253/7741440],
[[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 11/344064],
[[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 5/442368],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 1/163840],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 1/147456],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 23/5184000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 13/192000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 29/320000],
[[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 1/45360],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1973/4608000],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 7/442368],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 499/5160960],
[[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 77/1105920],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 11/368640],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 1/36864],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 1/1890],
[[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 1/3600],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 289/576000],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 41/622080],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/933120],
[[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 31/483840],
[[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 17/1209600],
[[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 1/34560],
[[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 1/259200],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 3809/17418240],
[[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 161/829440],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 623/6635520],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/221184],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 257/3317760],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/147456],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 943/5598720],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 29/622080],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 307/6220800],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 361/1088640],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 49/311040],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 263/1866240],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/93312],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 917/14929920],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 11/746496],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 97/311040],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/62208],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/124416],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 11/614400],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 60607/258048000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 13/460800],
[[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 1/73728000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 491/4300800],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 1/102400],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 53/645120],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 17/614400],
[[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 1/983040],
[[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 1/27648000],
[[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 13/3628800],
[[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 29/403200],
[[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 31/2016000],
[[[1, 9], [2, 2], [5, 1], [10, 1], [14, 1]], 1/12902400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 1469/1536000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 289/3870720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 1/1843200],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 283711/433520640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 7859/37158912],
[[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 1/258048],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 19/51200],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 7/663552],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 1441/3440640],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1/737280],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 455/14155776],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 47/3110400],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 9487/19353600],
[[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 19/184320],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 613/1036800],
[[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 11/36864000],
[[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 21863/243855360],
[[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 89/34836480],
[[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 1/1327104],
[[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 11/6635520],
[[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/49766400],
[[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 47/430080],
[[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 5483/67737600],
[[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 31/1658880],
[[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 89/9676800],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 187/4976640],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 4369/5806080],
[[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 319/829440],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 104773/116121600],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 7993/39813120],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 40591/61931520],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 5/221184],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 5333/26542080],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 42617/65318400],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 1/7680],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 25961/116121600],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 12539/17418240],
[[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 55/373248],
[[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 1/129024],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1/24576],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 1/92160],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 613/933120],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 3793/5598720],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 3691/13271040],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 47/777600],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 15059/23887872],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 110909/111974400],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 1/8640],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 23/345600],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 5921/8957952],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 463/604800],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 559/6912000],
[[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/36864000],
[[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 1/80640],
[[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/30965760],
[[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 1/19906560],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/238878720],
[[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/199065600],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 257/1290240],
[[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 1/22400],
[[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 7/2211840],
[[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/25804800],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 7/1843200],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1111/1474560],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 59663/688128000],
[[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 17/215040],
[[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 1/3870720],
[[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 1/1658880],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1/368640],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1/102400],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 19/460800],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 19/552960],
[[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 1693/14515200],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 13/17203200],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 89/17203200],
[[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/12902400],
[[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 1/16588800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 32609/836075520],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 1003/2064384],
[[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 4439/39813120],
[[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 1/36864],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 44291/44236800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 103781/445906944],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 4439/5308416],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 167/1032192],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 925853/1486356480],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 839/4147200],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 649/11059200],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 833/4608000],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 288353/975421440],
[[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 149/6967296],
[[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 727/37158912],
[[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 1/331776],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 293/26542080],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 6551/11059200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 2887/2654208],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 2951/10616832],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 1843/11059200],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 422959/278691840],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 1335517/2090188800],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 421/4423680],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 9013/58060800],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 19649/17915904],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1337/33177600],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 3979/14745600],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 111461/442368000],
[[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 223/1548288],
[[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 649/123863040],
[[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 1171/159252480],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 9965/891813888],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 49/33177600],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 79999/2064384000],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 509/2764800],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 157/1105920],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 307/29491200],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 1793/103219200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 55799/331776000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1906847/5573836800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 598529/5573836800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 17401/132710400],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 3173287/3567255552],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 5743/36864000],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 323/17694720],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 26567/331776000],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 164431/265420800],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 2269/16588800],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 656333/11147673600],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 27139/663552000],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 7876213/35672555520],
[[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 23/2304000],
[[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/129024],
[[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/276480],
[[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 17/1935360],
[[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 1/414720],
[[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 5/497664],
[[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 13/1612800],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 101/9216000],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 11/7741440],
[[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/229376],
[[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 1/884736],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 23/2304000],
[[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 59/9216000],
[[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 1/362880],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 51/512000],
[[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 79/7741440],
[[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 7/1658880],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/184320],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 7/3538944],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 7/34560],
[[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 43/518400],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 317/3456000],
[[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 17/1935360],
[[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 1/414720],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 91/2488320],
[[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 23/829440],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 83/9953280],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 53/9953280],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 5/497664],
[[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 7/2073600],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/22680],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/69120],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 149/3732480],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 413/29859840],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/497664],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 137/1866240],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/1119744],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 18211/516096000],
[[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 71/6451200],
[[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 1/430080],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 11/4915200],
[[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 13/1612800],
[[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/12902400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 10411/15482880],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 37/1935360],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 25117/108380160],
[[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 2797/46448640],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 1/9216],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 4793/61931520],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 1/524288],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/777600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 31/75600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 31/518400],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 409/1290240],
[[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/110592000],
[[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 23/1905120],
[[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 1/3483648],
[[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/46448640],
[[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/19906560],
[[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 5483/108380160],
[[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 527/33868800],
[[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 89/15482880],
[[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 1/967680],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 1/331776],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 2381/5419008],
[[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 12503/69672960],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 101357/232243200],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 167/8847360],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 3923/17694720],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 431/13271040],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 46663/261273600],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 59/725760],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 7879/116121600],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 3301/10160640],
[[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 143/3483648],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/221184],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 113129/209018880],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 2483/22394880],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 22469/139345920],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 53/6220800],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 17183/119439360],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 171251/261273600],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 23/552960],
[[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 7/1036800],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 169/552960],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 7979/19353600],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 3407/129024000],
[[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/967680],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 409/7225344],
[[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 1/268800],
[[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 1/10321920],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 67021/309657600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 2519/412876800],
[[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 1/53760],
[[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/123863040],
[[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/53084160],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/106168320],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/29491200],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 7/1228800],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 1/276480],
[[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 71/2419200],
[[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 11/464486400],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/1720320],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 1091/185794560],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 94349/185794560],
[[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 2231/26542080],
[[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 1/387072],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 307187/309657600],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 31763/557383680],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 99371/185794560],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 5741/154828800],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 642413/2972712960],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 14509/174182400],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 797/11059200],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 26857/258048000],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 409049/1950842880],
[[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 353/34836480],
[[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 23/13271040],
[[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 1/3981312],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 53/66355200],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 43679/49766400],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 372473/836075520],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 212137/743178240],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 17993/232243200],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 109759/123863040],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 597869/836075520],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 1723/23224320],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 181/3870720],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 2554631/2508226560],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 9019/696729600],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 18029/88473600],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 522833/6193152000],
[[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 53/774144],
[[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 1/2949120],
[[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 17/26542080],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 72409/33443020800],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/22118400],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 71989/9289728000],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 877/11059200],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 3029/92897280],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 7/17694720],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 53/18579456],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 121687/331776000],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 1644257/11147673600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 783637/5573836800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 20033/232243200],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 5955899/8918138880],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 89989/435456000],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 133/7077888],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 139271/4644864000],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 2585117/3344302080],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 144779/1393459200],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 216061/8360755200],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 613/132710400],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 7876213/35672555520],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 4519/21504000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 11/7741440],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 9629/289013760],
[[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 17/2752512],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 23/1843200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 23/5160960],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 1363/8128512],
[[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 1417/87091200],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 6511/86016000],
[[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 13/48771072],
[[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/104509440],
[[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 527/54190080],
[[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 13/13547520],
[[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 1/1548288],
[[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/29030400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 4649/40642560],
[[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 85/2322432],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 1523/19353600],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/1769472],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 6989/247726080],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 7/2949120],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 2053/130636800],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 25/1161216],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 521/66355200],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 6901/108380160],
[[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 583/139345920],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 20869/104509440],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 7/2488320],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 34189/836075520],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 1171/119439360],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 49769/261273600],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 7/1658880],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 671/14929920],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 967/9676800],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 19/4300800],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 2953/464486400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 14677/619315200],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 13/137625600],
[[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 1/645120],
[[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 13/4838400],
[[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 1/51609600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 41/111476736],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 93773/325140480],
[[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 4831/139345920],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 1004011/1990656000],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 19927/2229534720],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 128027/696729600],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 53/19353600],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 111697/2972712960],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 145559/7838208000],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 3281/77414400],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 1063019/34836480000],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 39049/487710720],
[[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 491/209018880],
[[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 1/20643840],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 1/44236800],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 23839/34836480],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 155381/1672151040],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 56969/371589120],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 1781/116121600],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 139019/557383680],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 224053/522547200],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 167/6193152],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 1/153600],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1197923/2508226560],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 703/348364800],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 26119/309657600],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 88507/6193152000],
[[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 2747/162570240],
[[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/123863040],
[[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/53084160],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 1783/9555148800],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 1783/2654208000],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 5171/232243200],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 24481/5573836800],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 1/88473600],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 71/309657600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 30007/66355200],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 2011/41803776],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 214801/1857945600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 1283/37158912],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 89567/265420800],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 778607/4478976000],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 97/7741440],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 54737/6967296000],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 56951/95551488],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 4717/87091200],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 273653/33443020800],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 41/132710400],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 12660307/66886041600],
[[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 13/21676032],
[[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/46448640],
[[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 1/580608],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 621/28672000],
[[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 37/27095040],
[[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 1/11612160],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1/921600],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 11/61931520],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 4939/162570240],
[[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 121/69672960],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 899/154828800],
[[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 13/21676032],
[[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/46448640],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 1361/130056192],
[[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 23/9289728],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 29/9289728],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 227/371589120],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 1/580608],
[[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 41/154828800],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1381/325140480],
[[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 1/9289728],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 4049/167215104],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 6151/1672151040],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 7/13271040],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 5947/348364800],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 19/44789760],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 131/15482880],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 113/387072000],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 47/203212800],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 73/309657600],
[[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/412876800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 3345563/39016857600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 2663/371589120],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 3343511/27869184000],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 11/20643840],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 11323/371589120],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 8549/2972712960],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 12613/7838208000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 41609/3483648000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 291251/69672960000],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 296881/19508428800],
[[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 1/4354560],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 711757/2612736000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 1861/238878720],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 915811/22295347200],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 227/232243200],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 63991/2229534720],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 778039/5971968000],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 1/245760],
[[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 19/58060800],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 56179/557383680],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 73/696729600],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 107827/6193152000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 2017/2064384000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 11/5443200],
[[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 23/4180377600],
[[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 23/1161216000],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 703/232243200],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 103/398131200],
[[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 1/154828800],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 953137/2985984000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 965141/100329062400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 153961/2786918400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 6427/870912000],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 8901811/89181388800],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 12233/139968000],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 3047/696729600],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 5629/4644864000],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 70069/265420800],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 23603/1393459200],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 25793/16721510400],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 1/132710400],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 19066661/160526499840],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 237803/19508428800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 361/557383680],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 33461/3096576000],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 599/309657600],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 11/110100480],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 209/7838208000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 5053/3483648000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 8249/34836480000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 1723/1393459200],
[[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 1/139345920],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 1033057/20901888000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 19/139345920],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 168773/33443020800],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 77/79626240],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 52609/2985984000],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 19/92897280],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 2537/334430208],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 43499/27869184000],
[[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 1/58982400],
[[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 271/2438553600],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 73/464486400],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 23/2786918400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 5258851/41803776000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 48407/50164531200],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 80849/5573836800],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 1273/1741824000],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 4039367/267544166400],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 616639/25082265600],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 1381/1857945600],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 53/580608000],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 6242533/100329062400],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 4957/1741824000],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 767/5573836800],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 2176067/45864714240],
[[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 209/3483648000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 24803/39016857600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/53084160],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 5471/27869184000],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 11/696729600],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 209/3483648000],
[[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 17/4644864000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 571/19508428800],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 32623/10450944000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 16103/66886041600],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 19/743178240],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 34963/41803776000],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 11/250822656],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 2717/55738368000],
[[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/304819200],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 14561/557383680],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 113/2508226560],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 491/247726080],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 11/435456000],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 13007/13377208320],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 2981/836075520],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 53/928972800],
[[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 17/6967296000],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 3937/557383680],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 10247/41803776000],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 23/5573836800],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 17790071/1605264998400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 107759/41803776000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 17/16721510400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 9517/73156608000],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 2413/133772083200],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 1111/4644864000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 17/11147673600],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1147/3715891200],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 23/2090188800],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 1137677/802632499200],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 3877/41803776000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 3929/1170505728000],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 17/89181388800],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 23/4180377600],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 13/10032906240],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 11/41803776000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 47123/520224768000],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 43951/18728091648000],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 11/877879296000],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000],
[[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 5/290304],
[[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040],
[[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/64512],
[[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/322560],
[[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/138240],
[[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 23/2304000],
[[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 17/1935360],
[[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 1/414720],
[[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 5/497664],
[[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 13/1612800],
[[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/129024],
[[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/276480],
[[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 13/21676032],
[[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/46448640],
[[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 1/580608],
[[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 209/3483648000],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/48000],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 1/9408],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 7/38400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 17/230400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/12096],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 19/290304],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 5/41472],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/60480],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [14, 1]], 1/71680],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/138240],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 1/73728],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2520],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/69120],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 5/435456],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 1/62208],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/466560],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/614400],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/86016],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 1/110592],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 19/60480],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 401/2304000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 107/967680],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 17/414720],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 5/32256],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 7/41472],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 53/622080],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 89/403200],
[[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 1/368640],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 1/28672],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 1/110592],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 29/645120],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 7/276480],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/16128],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 23/3456000],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 17/2903040],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 1/622080],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 7/1658880],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 5/746496],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 13/2419200],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/344064],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 11/2211840],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 71/1209600],
[[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11468800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 871/43352064],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 67/92897280],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 167/1612800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 13/414720],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 1801/29030400],
[[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3686400],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 13/32514048],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/69672960],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 19/92897280],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 1/870912],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/2764800],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 40121/6967296000],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 17/11147673600],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 209/5225472000],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/96000],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/44800],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 3/10240],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/14112],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [10, 1]], 1/153600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576],
[[[1, 2], [2, 5], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [9, 1]], 1/73728],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/1512],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 23/38400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 1/32000],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 19/230400],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 23/290304],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 7/41472],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/311040],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/71680],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 7/76800],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/10752],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 1/23040],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 7/81920],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 1/12288],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 2], [2, 5], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/7200],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 11/57600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 103/435456],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 11/124416],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 49/933120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 7/147456],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 7/204800],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/12288],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 31/331776],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 19/248832],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/51840],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/172032],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/147456],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 1/196608],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/8640],
[[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/172800],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 17/17280],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 13/17280],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/115200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/20736],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/27648],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/51840],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 7/46080],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 1/23040],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 1/460800],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 599/1152000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 361/967680],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 53/207360],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 17/40320],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 5/10368],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 233/1244160],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 629/806400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/40960],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 71/258048],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 5/36864],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 17/107520],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 1/9216],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 11/46080],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 11/122880],
[[[1, 2], [2, 7], [5, 1], [6, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600],
[[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 19/80640],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 743/4608000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 1223/5806080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 71/829440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 23/207360],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 223/746496],
[[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 1/30965760],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/13271040],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 29/604800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 25/516096],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 1/165888],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 113/3317760],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 23/368640],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 11/921600],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 7/1179648],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 7/345600],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1/43008],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 557/1209600],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 11/276480],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/221184],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 11/414720],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 23/921600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 97/34406400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 4003/21676032],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 799/46448640],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 1009/1612800],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 101/414720],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 5191/14515200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/153600],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 23/102400],
[[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 1/460800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1/77414400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 17089/650280960],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 1/2322432],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 2447/185794560],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 136361/1393459200],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1319/743178240],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 119/11059200],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 11/77414400],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/518400],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 23/10321920],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 77299/995328000],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 2743/22295347200],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 11999/2612736000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 1/96000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/44800],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 3/10240],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/144000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/76800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 1/64512],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/8192],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 1/12288],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/21600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/15120],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [7, 1]], 1/322560],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 1/10800],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/9072],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/45360],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/19440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 131/192000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 3/10240],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 19/64000],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 7/230400],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/12096],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/25600],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/17920],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 3/35840],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/15360],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 5/86016],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 5/36864],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/2520],
[[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 13/100800],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 11/57600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 7/230400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/48384],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 25/54432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/1728],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/7776],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 23/233280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/614400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 95/147456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/12288],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/193536],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 3/14336],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 43/165888],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 65/248832],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 19/414720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/53760],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 7/110592],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/122880],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/40960],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/172032],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 23/221184],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 7/196608],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 97/96000],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 17/43200],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 29/432000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/72576],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/960],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 5/5184],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/103680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 11/62208],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 209/746496],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 31/311040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/258048],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 17/82944],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 5/147456],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/362880],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 1/155520],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 19/51840],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 19/181440],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 1/15552],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 143/288000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/13440],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/103680],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 13/115200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 13/33600],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 13/23040],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 25/48384],
[[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 5/10752],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 19/48384],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 17/34560],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 11/69120],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 5/5376],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 19/184320],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 313/614400],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 163/258048],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 17/36864],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 73/322560],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 23/138240],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2560],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 29/50400],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 23/80640],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 7/34560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 7/147456],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 311/512000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 1/193536],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 5899/5806080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 47/92160],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 2671/4976640],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 3541/3732480],
[[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/967680],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1/414720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 373/2419200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/774144],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/331776],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 101/344064],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1441/3317760],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 943/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/12800],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 431/3538944],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 29/368640],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 187/691200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 467/403200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 7/103680],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 13/69120],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 1/414720],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 23/193536],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/248832],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 359/1990656],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 11/1382400],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 11/331776],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 7/2073600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 1/69120],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 7/276480],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 47/184320],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1763/28672000],
[[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 17/28672],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 61/552960],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 2993/2419200],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 121/207360],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 523/691200],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 311/3686400],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 17/18432],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1/22118400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 67/154828800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 1/30965760],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 40007/162570240],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 53/7741440],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 571/3440640],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 26017/34836480],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 11/1843200],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 50581/743178240],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 7/46080],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 3827/387072000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 47/1382400],
[[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/66355200],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 373/557383680],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 11/414720],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 11/4838400],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 799/16128000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 5723/15482880],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 94379/22295347200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 202163/2985984000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 1/9408],
[[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 1/9216],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/22400],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/67200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/144000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/5120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 1/25600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/8192],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 5/86016],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 5/36864],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/2520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 7/230400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/14400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/12096],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/21600],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/45360],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/19440],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 13/100800],
[[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 1/5400],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/38880],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/60480],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/138240],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/28800],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 19/64000],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 3/10240],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/67200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 131/192000],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/17920],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 3/35840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/64512],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/322560],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/138240],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 1/12288],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/10800],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 19/57600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/38400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 73/288000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 31/172800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 37/145152],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 11/31104],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 7/124416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 1/71680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 13/614400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 125/73728],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 7/102400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 29/129024],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 47/165888],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 73/248832],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 31/129024],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 19/55296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 11/122880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 13/258048],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 49/221184],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/61440],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 179/144000],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 19/43200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 29/134400],
[[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 247/432000],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 1/4536],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 71/181440],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 7/15552],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/51840],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 7/207360],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/115200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 7/115200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/6048],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 5/62208],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 19/48384],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 13/62208],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 337/746496],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 11/77760],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 5/73728],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 23/258048],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 13/110592],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 13/193536],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 17/27648],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 35/221184],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/45360],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/19440],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 19/17280],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/4032],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 23/181440],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 7/77760],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 19/311040],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/38400],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/48384],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 155/746496],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 7/43200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 109/192000],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/4320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/51840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 11/115200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 13/33600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/1920],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 173/268800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 11/51200],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/6048],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 3/14336],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 7/27648],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 17/120960],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 11/51840],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 13/276480],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 13/35840],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 3/20480],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 739/614400],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 13/21504],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 17/27648],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 11/92160],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 5/55296],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 11/46080],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/10240],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 61/100800],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 7/21600],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/8640],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 11/921600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 41/147456],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1139/1382400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 1/21504],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/82944],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 319/193536],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 259/248832],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 469/497664],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 671/622080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/120960],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1/51840],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 11/64512],
[[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 1/138240],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 7/184320],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 167/1228800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 143/3096576],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 1/41472],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 85/129024],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 35/331776],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 4613/3317760],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 457/552960],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 97/307200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1/122880],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 2437/3538944],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 41/184320],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/80640],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 209/230400],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 5/16128],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 227/181440],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 13/77760],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 1/3456],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/51840],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/61440],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 1/43008],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 25/497664],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 59/193536],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 2041/1990656],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 43/46080],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 13/153600],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 37/2211840],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 59/221184],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 13/69120],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 89/691200],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1244160],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 65/2985984],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/20736],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 41/276480],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 913/1382400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1963/4096000],
[[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 13/96768],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 803/1032192],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 11/49152],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 521/483840],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 127/207360],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 97/138240],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 21/51200],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1321/921600],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 13/345600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 11/7372800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 589/77414400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1/430080],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1/331776],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 2267/2580480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 53/1244160],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 1243/1720320],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 32353/16588800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 47/921600],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 1/552960],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 39551/74317824],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 7993/11059200],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 387/3584000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 43/345600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/2073600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 121/4354560],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 139/1036800],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1499/38707200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 124087/387072000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 8693/11059200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 41/30965760],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 208063/4459069440],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 86231/232243200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/33600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/14112],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/5120],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 7/76800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/10752],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/5040],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 19/230400],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/53760],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/7200],
[[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 23/290304],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/311040],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 1/32000],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 23/38400],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/17920],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/71680],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 7/81920],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [18, 1]], 1/73728],
[[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5120],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/6400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 7/115200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 11/51200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 109/192000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/18432],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/48384],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/48384],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 11/92160],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 5/55296],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 7/102400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 125/73728],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 13/614400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 13/193536],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 23/258048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 13/110592],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 13/21504],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/53760],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 17/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/10240],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 13/258048],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 35/221184],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1/12288],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 247/432000],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 23/181440],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 7/77760],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 7/43200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 61/100800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 7/21600],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/25600],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 179/144000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 1/4536],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 1/9072],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/45360],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/19440],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/103680],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 17/120960],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 11/51840],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 31/172800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 19/48384],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 13/62208],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 5/62208],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 155/746496],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 19/311040],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 3/14336],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 11/46080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 3/20480],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 29/129024],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 47/165888],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 17/27648],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/61440],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 49/221184],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 71/181440],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 7/15552],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 19/17280],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 11/77760],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 13/276480],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 11/115200],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 37/145152],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 11/31104],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 337/746496],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 73/248832],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 19/43200],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 7/124416],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 73/288000],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/13440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/103680],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/38400],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 13/35840],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 173/268800],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/1680],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 13/33600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 19/57600],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/69120],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 7/207360],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 5/73728],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 739/614400],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 31/129024],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 19/55296],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/71680],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/92160],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/12288],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 11/122880],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 29/134400],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/7200],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 29/103680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 83/921600],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 11/18432],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 23/51200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 37/193536],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 5/4608],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 233/248832],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 2147/2985984],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 589/1244160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 85/1032192],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 37/442368],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 17/48384],
[[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 5/32256],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1/6912],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 7/23040],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 19/36864],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 65/221184],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 11/165888],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 227/344064],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 301/165888],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1361/2211840],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 13/23040],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/10240],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 5303/3538944],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 11/46080],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 11/103680],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 5/62208],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/2016],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 25/20736],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/14336],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/2520],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 61/103680],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 7/38880],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 29/82944],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 713/2764800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 5/18432],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 185/497664],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 17/48384],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/15552],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 4391/1990656],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 49/51840],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 7/28800],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 193/1105920],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 13/12288],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 41/138240],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 233/345600],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 13/248832],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 341/1492992],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 11/51840],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2240],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 1/4320],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3456],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 929/1382400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7061/6144000],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 1/3024],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 439/1032192],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 29/147456],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 59/138240],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 121/414720],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 73/276480],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 9/20480],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 881/1228800],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 61/61440],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 149/518400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/76800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 353/3686400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 559/7741440],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 5/165888],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 83/57344],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 227/1990656],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 55693/39813120],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 263/115200],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1151/5529600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 191/2211840],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 94067/53084160],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 3923/2764800],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 19271/41472000],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 11/57600],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 499/16588800],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 26443/139345920],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 109/259200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1249/6451200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 44993/55296000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 889/1105920],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 1033/46448640],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 956999/4459069440],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 31927/33177600],
[[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/8064],
[[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/67200],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/144000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/15360],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/25600],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/153600],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 1/16128],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/2520],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/8064],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 17/230400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/12096],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/21504],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/60480],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/25920],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 19/290304],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 5/41472],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/138240],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/15120],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/155520],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/67200],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 7/38400],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/17920],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/71680],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 13/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 143/288000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 25/48384],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 73/322560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 23/138240],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/12288],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 95/147456],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/614400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/258048],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 1/110592],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 163/258048],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 17/36864],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 7/30720],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/20480],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/172032],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 5/147456],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7/196608],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 29/432000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 19/181440],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/15552],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/20160],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 23/80640],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 29/50400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 7/34560],
[[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/25600],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 97/96000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/72576],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/362880],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 1/155520],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 19/48384],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 17/34560],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 11/62208],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 5/10752],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2560],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 19/184320],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 3/14336],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 43/165888],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/193536],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 17/82944],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 23/221184],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/960],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 5/5184],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 19/51840],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/4608],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 31/311040],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 11/69120],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 13/115200],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 25/54432],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/48384],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 209/746496],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 19/414720],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 65/248832],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 17/43200],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 23/233280],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/7776],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 7/230400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 5/5376],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 13/33600],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/15360],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 11/57600],
[[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/23040],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 313/614400],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 1/4608],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/36864],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 7/110592],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/40960],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 11/51840],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 59/138240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 121/414720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 23/51200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 11/18432],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 83/921600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 17/48384],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 1/15552],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 5/18432],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 185/497664],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 341/1492992],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 13/248832],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 439/1032192],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 29/147456],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1/3024],
[[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 41/138240],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 61/61440],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 881/1228800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 227/344064],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 65/221184],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 11/165888],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 13/12288],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 193/1105920],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 9/20480],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 11/46080],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 5303/3538944],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1/10240],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 61/103680],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 7/38880],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/2520],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 233/345600],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/2016],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/14336],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 11/103680],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 5/62208],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/30720],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 49/51840],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 73/276480],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 929/1382400],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 5/4608],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 233/248832],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 37/193536],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 4391/1990656],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 29/82944],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/3456],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1361/2211840],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 301/165888],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 1/6912],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 25/20736],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 589/1244160],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 2147/2985984],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 29/103680],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 5/32256],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4480],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 7/28800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 713/2764800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7061/6144000],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 17/48384],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 85/1032192],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 37/442368],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/15360],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 7/138240],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 13/23040],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 19/36864],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1423/2073600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 887/11059200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 593/1228800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 239/516096],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 197/1990656],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 523/442368],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 149/995328],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 10873/7962624],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 307/245760],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 21/51200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 307/552960],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 5513/1769472],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 4823/3686400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 25493/27648000],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 491/1658880],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 27823/39813120],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 31/41472],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 149/368640],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 5167/5529600],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 59/153600],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 6953/46448640],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 114089/222953472],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 44657/33177600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 599/1152000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 7/46080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 17/107520],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 1/9216],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 7/204800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 7/147456],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 71/258048],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 5/36864],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 11/122880],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/122880],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/172032],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/196608],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/172800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/36288],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/77760],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 19/80640],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 1/21600],
[[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 1/24192],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 17/40320],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 5/10368],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 11/57600],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/16128],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 361/967680],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 53/207360],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 11/46080],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/40960],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/12288],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 31/331776],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/368640],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/147456],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 17/17280],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 13/17280],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/51840],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 233/1244160],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 103/435456],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/51840],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 19/248832],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 49/933120],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 11/124416],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 629/806400],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/20736],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 521/483840],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 127/207360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1139/1382400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 41/147456],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 11/921600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 59/193536],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 1/43008],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 25/497664],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 65/2985984],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1244160],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 803/1032192],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 11/49152],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 13/96768],
[[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 13/69120],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1321/921600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 21/51200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 85/129024],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 35/331776],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 143/3096576],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1/41472],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 59/221184],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 37/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 41/184320],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 2437/3538944],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1/122880],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 227/181440],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 13/77760],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8960],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 89/691200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 5/16128],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/4032],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 43/46080],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 97/138240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 913/1382400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 319/193536],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 259/248832],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 1/21504],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 2041/1990656],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/51840],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 41/276480],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 457/552960],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 4613/3317760],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 209/230400],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 671/622080],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 469/497664],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4480],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/53760],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/23040],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 13/153600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/61440],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1963/4096000],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 11/64512],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/120960],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/51840],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 97/307200],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 167/1228800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 7/184320],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 31/41472],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 59/153600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 5167/5529600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 523/442368],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 149/995328],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 239/516096],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 197/1990656],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 27823/39813120],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 491/1658880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 149/368640],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 4823/3686400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 5513/1769472],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 307/552960],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 25493/27648000],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 307/245760],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 10873/7962624],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1423/2073600],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 21/51200],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 593/1228800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 887/11059200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 17423/33177600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 335285/445906944],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 4513/4147200],
[[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 401/2304000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/13824],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 29/645120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 7/276480],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/614400],
[[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/28672],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/122880],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 5/32256],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 7/41472],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 107/967680],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 17/414720],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/23040],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/86016],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 19/60480],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 53/622080],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 5/435456],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/62208],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/466560],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/62208],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 89/403200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 2993/2419200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 121/207360],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 311/512000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 7/147456],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 23/193536],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/248832],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 17/28672],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/17920],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 61/552960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/34560],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 17/18432],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 311/3686400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 101/344064],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 1/20736],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/774144],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/331776],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 11/331776],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 29/368640],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 431/3538944],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 467/403200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 7/103680],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 7/2073600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2880],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 523/691200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 47/184320],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 5899/5806080],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 47/92160],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 1/193536],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 359/1990656],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/414720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 7/276480],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 943/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1441/3317760],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 13/69120],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 187/691200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 3541/3732480],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 2671/4976640],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 373/2419200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 11/1382400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1763/28672000],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/967680],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/414720],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/12800],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 109/259200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 889/1105920],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 44993/55296000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 83/57344],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 227/1990656],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 559/7741440],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 5/165888],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 26443/139345920],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 499/16588800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 1249/6451200],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 3923/2764800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 94067/53084160],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 191/2211840],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 11/57600],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 19271/41472000],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 263/115200],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 55693/39813120],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 149/518400],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1151/5529600],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 353/3686400],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 4513/4147200],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 335285/445906944],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 17423/33177600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 1009/1612800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 101/414720],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 743/4608000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/64512],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 4003/21676032],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 799/46448640],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 23/102400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/153600],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 25/516096],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/165888],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/184320],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 7/1179648],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 557/1209600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/460800],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/43008],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 11/414720],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 5191/14515200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 23/921600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1223/5806080],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 71/829440],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/221184],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 23/368640],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 113/3317760],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 11/276480],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 7/345600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 223/746496],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 23/207360],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 29/604800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 97/34406400],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/30965760],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13271040],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/921600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 139/1036800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 8693/11059200],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 124087/387072000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 2267/2580480],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 53/1244160],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 1/430080],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1/331776],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 121/4354560],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/2073600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1499/38707200],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 7993/11059200],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 39551/74317824],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 1/552960],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 43/345600],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 387/3584000],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 32353/16588800],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 1243/1720320],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 13/345600],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 47/921600],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 589/77414400],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 11/7372800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 44657/33177600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 114089/222953472],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 6953/46448640],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 167/1612800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 13/414720],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 23/3456000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 871/43352064],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 67/92897280],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 1/115200],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/3686400],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/344064],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 71/1209600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 1801/29030400],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 17/2903040],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 1/622080],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 11/2211840],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 5/746496],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 7/1658880],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 13/2419200],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11468800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 11/414720],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 5723/15482880],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 799/16128000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 40007/162570240],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 53/7741440],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/30965760],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 373/557383680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/66355200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 11/4838400],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 7/46080],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 50581/743178240],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 47/1382400],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 3827/387072000],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 26017/34836480],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 571/3440640],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 11/1843200],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 67/154828800],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/22118400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 31927/33177600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 956999/4459069440],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1033/46448640],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/518400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 77299/995328000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 23/10321920],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 17089/650280960],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 1/2322432],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 119/11059200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1319/743178240],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/345600],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 11/77414400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 136361/1393459200],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 2447/185794560],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/77414400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 86231/232243200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 208063/4459069440],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 41/30965760],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 40121/6967296000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 13/32514048],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/69672960],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/2764800],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 1/870912],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 19/92897280],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 202163/2985984000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 94379/22295347200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 11999/2612736000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 2743/22295347200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 209/5225472000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 17/11147673600],
[[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/16128],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 5/16128],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/34560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/43008],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 11/276480],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/76800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 11/32256],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 7/13824],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/30240],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5120],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/2304],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 19/34560],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/82944],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 13/32256],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/60480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 31/69120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/61440],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/153600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/691200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 109/691200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/76800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 13/32256],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 11/13824],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/64512],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/13824],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3072],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 23/69120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/51200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/24192],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/4032],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/17280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/51840],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 139/138240],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/36864],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/11520],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/57600],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/25600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 169/1382400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1309/1382400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/76800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/13824],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/60480],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 13/32256],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 11/13824],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2880],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 257/345600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/19200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 221/387072],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/3584],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 19/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2048],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/9216],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/12800],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 13/92160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1337/1382400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/480],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 19/34560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/76800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/64512],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 11/32256],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 7/13824],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/12800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/3584],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 221/387072],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/9216],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 19/23040],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 257/345600],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/19200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/7680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 53/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 143/69120],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 5/16128],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 11/34560],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/60480],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/17280],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/51840],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 13/25600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/4032],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/11520],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/36864],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 139/138240],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 23/69120],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/51200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 143/69120],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 53/23040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/60480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/10368],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 19/153600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 13/32256],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/82944],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/46080],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/61440],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 31/69120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/480],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1337/1382400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 13/92160],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/24192],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/51840],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/43008],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 11/276480],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1309/1382400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 169/1382400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 109/691200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/691200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/345600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/2560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/2560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560]
]}