{[
[[[1, 25]], 1/2293235712],
[[[2, 25]], 1/2293235712],
[[[1, 1], [2, 24]], 7/764411904],
[[[1, 2], [2, 23]], 11/127401984],
[[[1, 3], [2, 22]], 185/382205952],
[[[1, 4], [2, 21]], 17/9437184],
[[[1, 5], [2, 20]], 1199/254803968],
[[[1, 5], [3, 10]], 1/279936],
[[[1, 6], [2, 19]], 1699/191102976],
[[[1, 7], [2, 18]], 785/63700992],
[[[1, 7], [3, 9]], 55/139968],
[[[1, 8], [2, 17]], 3623/254803968],
[[[1, 9], [2, 16]], 56251/2293235712],
[[[1, 9], [3, 8]], 37/186624],
[[[1, 10], [2, 15]], 22025/382205952],
[[[1, 11], [2, 14]], 3785/42467328],
[[[1, 11], [3, 7]], 7/139968],
[[[1, 12], [2, 13]], 4505/42467328],
[[[1, 13], [2, 12]], 4505/42467328],
[[[1, 13], [3, 6]], 109/4478976],
[[[1, 14], [2, 11]], 3785/42467328],
[[[1, 15], [2, 10]], 22025/382205952],
[[[1, 16], [2, 9]], 56251/2293235712],
[[[1, 17], [2, 8]], 3623/254803968],
[[[1, 17], [3, 4]], 1/143327232],
[[[1, 18], [2, 7]], 785/63700992],
[[[1, 19], [2, 6]], 1699/191102976],
[[[1, 19], [3, 3]], 1/71663616],
[[[1, 20], [2, 5]], 1199/254803968],
[[[1, 21], [2, 4]], 17/9437184],
[[[1, 21], [3, 2]], 1/95551488],
[[[1, 22], [2, 3]], 185/382205952],
[[[1, 23], [2, 2]], 11/127401984],
[[[1, 23], [3, 1]], 1/286654464],
[[[1, 24], [2, 1]], 7/764411904],
[[[2, 5], [6, 10]], 1/279936],
[[[2, 7], [6, 9]], 55/139968],
[[[2, 9], [6, 8]], 37/186624],
[[[2, 11], [6, 7]], 7/139968],
[[[2, 13], [6, 6]], 109/4478976],
[[[2, 17], [6, 4]], 1/143327232],
[[[2, 19], [6, 3]], 1/71663616],
[[[2, 21], [6, 2]], 1/95551488],
[[[2, 23], [6, 1]], 1/286654464],
[[[1, 1], [2, 6], [6, 9]], 1/46656],
[[[1, 1], [2, 8], [6, 8]], 19/31104],
[[[1, 1], [2, 10], [6, 7]], 5/31104],
[[[1, 1], [2, 12], [6, 6]], 55/373248],
[[[1, 1], [2, 16], [6, 4]], 1/15925248],
[[[1, 1], [2, 18], [6, 3]], 1/5971968],
[[[1, 1], [2, 20], [6, 2]], 5/31850496],
[[[1, 1], [2, 22], [6, 1]], 1/15925248],
[[[1, 2], [2, 7], [6, 8]], 1/20736],
[[[1, 2], [2, 9], [6, 7]], 1/5184],
[[[1, 2], [2, 11], [6, 6]], 25/82944],
[[[1, 2], [2, 15], [6, 4]], 1/3981312],
[[[1, 2], [2, 17], [6, 3]], 7/7962624],
[[[1, 2], [2, 19], [6, 2]], 11/10616832],
[[[1, 2], [2, 21], [6, 1]], 1/1990656],
[[[1, 3], [2, 8], [4, 7]], 1/18432],
[[[1, 3], [2, 8], [6, 7]], 1/10368],
[[[1, 3], [2, 10], [6, 6]], 11/41472],
[[[1, 3], [2, 14], [6, 4]], 7/11943936],
[[[1, 3], [2, 16], [6, 3]], 1/373248],
[[[1, 3], [2, 18], [6, 2]], 127/31850496],
[[[1, 3], [2, 20], [6, 1]], 113/47775744],
[[[1, 4], [2, 5], [4, 8]], 1/4608],
[[[1, 4], [2, 7], [4, 7]], 1/6144],
[[[1, 4], [2, 9], [4, 6]], 1/6144],
[[[1, 4], [2, 9], [6, 6]], 5/55296],
[[[1, 4], [2, 13], [4, 4]], 73/15925248],
[[[1, 4], [2, 13], [6, 4]], 7/7962624],
[[[1, 4], [2, 15], [6, 3]], 7/1327104],
[[[1, 4], [2, 17], [6, 2]], 53/5308416],
[[[1, 4], [2, 19], [6, 1]], 233/31850496],
[[[1, 5], [2, 4], [4, 8]], 1/4608],
[[[1, 5], [2, 6], [4, 7]], 7/4608],
[[[1, 5], [2, 8], [4, 6]], 1/2048],
[[[1, 5], [2, 10], [4, 5]], 1/6144],
[[[1, 5], [2, 12], [4, 4]], 661/15925248],
[[[1, 5], [2, 12], [6, 4]], 7/7962624],
[[[1, 5], [2, 14], [4, 3]], 61/3981312],
[[[1, 5], [2, 14], [6, 3]], 7/995328],
[[[1, 5], [2, 16], [6, 2]], 91/5308416],
[[[1, 5], [2, 18], [6, 1]], 125/7962624],
[[[1, 5], [3, 6], [6, 4]], 1/10368],
[[[1, 5], [3, 7], [9, 1]], 1/1296],
[[[1, 6], [2, 1], [3, 9]], 1/46656],
[[[1, 6], [2, 5], [4, 7]], 7/4608],
[[[1, 6], [2, 7], [4, 6]], 91/24576],
[[[1, 6], [2, 9], [4, 5]], 1/2048],
[[[1, 6], [2, 11], [4, 4]], 587/2654208],
[[[1, 6], [2, 11], [6, 4]], 7/11943936],
[[[1, 6], [2, 13], [4, 3]], 553/3981312],
[[[1, 6], [2, 13], [6, 3]], 77/11943936],
[[[1, 6], [2, 15], [4, 2]], 205/10616832],
[[[1, 6], [2, 15], [6, 2]], 329/15925248],
[[[1, 6], [2, 17], [6, 1]], 287/11943936],
[[[1, 7], [2, 2], [3, 8]], 1/20736],
[[[1, 7], [2, 4], [4, 7]], 1/6144],
[[[1, 7], [2, 6], [4, 6]], 91/24576],
[[[1, 7], [2, 8], [4, 5]], 23/12288],
[[[1, 7], [2, 10], [4, 4]], 521/884736],
[[[1, 7], [2, 10], [6, 4]], 1/3981312],
[[[1, 7], [2, 12], [4, 3]], 311/663552],
[[[1, 7], [2, 12], [6, 3]], 1/248832],
[[[1, 7], [2, 14], [4, 2]], 1861/10616832],
[[[1, 7], [2, 14], [6, 2]], 31/1769472],
[[[1, 7], [2, 16], [4, 1]], 157/15925248],
[[[1, 7], [2, 16], [6, 1]], 211/7962624],
[[[1, 7], [3, 6], [9, 1]], 1/2592],
[[[1, 8], [2, 1], [3, 8]], 19/31104],
[[[1, 8], [2, 3], [3, 7]], 1/10368],
[[[1, 8], [2, 3], [4, 7]], 1/18432],
[[[1, 8], [2, 5], [4, 6]], 1/2048],
[[[1, 8], [2, 7], [4, 5]], 23/12288],
[[[1, 8], [2, 9], [3, 4]], 145/143327232],
[[[1, 8], [2, 9], [4, 4]], 5681/2654208],
[[[1, 8], [2, 9], [6, 4]], 17/15925248],
[[[1, 8], [2, 11], [4, 3]], 487/663552],
[[[1, 8], [2, 11], [6, 3]], 29/7962624],
[[[1, 8], [2, 13], [4, 2]], 529/884736],
[[[1, 8], [2, 13], [6, 2]], 7/393216],
[[[1, 8], [2, 15], [4, 1]], 1429/15925248],
[[[1, 8], [2, 15], [6, 1]], 875/31850496],
[[[1, 9], [2, 2], [3, 7]], 1/5184],
[[[1, 9], [2, 4], [3, 6]], 5/55296],
[[[1, 9], [2, 4], [4, 6]], 1/6144],
[[[1, 9], [2, 6], [4, 5]], 1/2048],
[[[1, 9], [2, 8], [3, 4]], 17/15925248],
[[[1, 9], [2, 8], [4, 4]], 5681/2654208],
[[[1, 9], [2, 8], [6, 4]], 145/143327232],
[[[1, 9], [2, 10], [3, 3]], 145/23887872],
[[[1, 9], [2, 10], [4, 3]], 383/221184],
[[[1, 9], [2, 10], [6, 3]], 151/17915904],
[[[1, 9], [2, 12], [4, 2]], 853/884736],
[[[1, 9], [2, 12], [6, 2]], 3115/95551488],
[[[1, 9], [2, 14], [4, 1]], 409/1327104],
[[[1, 9], [2, 14], [6, 1]], 7565/143327232],
[[[1, 9], [3, 5], [9, 1]], 1/10368],
[[[1, 10], [2, 1], [3, 7]], 5/31104],
[[[1, 10], [2, 3], [3, 6]], 11/41472],
[[[1, 10], [2, 5], [4, 5]], 1/6144],
[[[1, 10], [2, 7], [3, 4]], 1/3981312],
[[[1, 10], [2, 7], [4, 4]], 521/884736],
[[[1, 10], [2, 9], [3, 3]], 151/17915904],
[[[1, 10], [2, 9], [4, 3]], 383/221184],
[[[1, 10], [2, 9], [6, 3]], 145/23887872],
[[[1, 10], [2, 11], [3, 2]], 209/10616832],
[[[1, 10], [2, 11], [4, 2]], 883/589824],
[[[1, 10], [2, 11], [6, 2]], 1325/31850496],
[[[1, 10], [2, 13], [4, 1]], 223/442368],
[[[1, 10], [2, 13], [6, 1]], 377/3981312],
[[[1, 11], [2, 2], [3, 6]], 25/82944],
[[[1, 11], [2, 6], [3, 4]], 7/11943936],
[[[1, 11], [2, 6], [4, 4]], 587/2654208],
[[[1, 11], [2, 8], [3, 3]], 29/7962624],
[[[1, 11], [2, 8], [4, 3]], 487/663552],
[[[1, 11], [2, 10], [3, 2]], 1325/31850496],
[[[1, 11], [2, 10], [4, 2]], 883/589824],
[[[1, 11], [2, 10], [6, 2]], 209/10616832],
[[[1, 11], [2, 12], [3, 1]], 337/10616832],
[[[1, 11], [2, 12], [4, 1]], 193/294912],
[[[1, 11], [2, 12], [6, 1]], 469/5308416],
[[[1, 11], [3, 4], [9, 1]], 1/20736],
[[[1, 12], [2, 1], [3, 6]], 55/373248],
[[[1, 12], [2, 5], [3, 4]], 7/7962624],
[[[1, 12], [2, 5], [4, 4]], 661/15925248],
[[[1, 12], [2, 7], [3, 3]], 1/248832],
[[[1, 12], [2, 7], [4, 3]], 311/663552],
[[[1, 12], [2, 9], [3, 2]], 3115/95551488],
[[[1, 12], [2, 9], [4, 2]], 853/884736],
[[[1, 12], [2, 11], [3, 1]], 469/5308416],
[[[1, 12], [2, 11], [4, 1]], 193/294912],
[[[1, 12], [2, 11], [6, 1]], 337/10616832],
[[[1, 13], [2, 4], [3, 4]], 7/7962624],
[[[1, 13], [2, 4], [4, 4]], 73/15925248],
[[[1, 13], [2, 6], [3, 3]], 77/11943936],
[[[1, 13], [2, 6], [4, 3]], 553/3981312],
[[[1, 13], [2, 8], [3, 2]], 7/393216],
[[[1, 13], [2, 8], [4, 2]], 529/884736],
[[[1, 13], [2, 10], [3, 1]], 377/3981312],
[[[1, 13], [2, 10], [4, 1]], 223/442368],
[[[1, 14], [2, 3], [3, 4]], 7/11943936],
[[[1, 14], [2, 5], [3, 3]], 7/995328],
[[[1, 14], [2, 5], [4, 3]], 61/3981312],
[[[1, 14], [2, 7], [3, 2]], 31/1769472],
[[[1, 14], [2, 7], [4, 2]], 1861/10616832],
[[[1, 14], [2, 9], [3, 1]], 7565/143327232],
[[[1, 14], [2, 9], [4, 1]], 409/1327104],
[[[1, 15], [2, 2], [3, 4]], 1/3981312],
[[[1, 15], [2, 4], [3, 3]], 7/1327104],
[[[1, 15], [2, 6], [3, 2]], 329/15925248],
[[[1, 15], [2, 6], [4, 2]], 205/10616832],
[[[1, 15], [2, 8], [3, 1]], 875/31850496],
[[[1, 15], [2, 8], [4, 1]], 1429/15925248],
[[[1, 16], [2, 1], [3, 4]], 1/15925248],
[[[1, 16], [2, 3], [3, 3]], 1/373248],
[[[1, 16], [2, 5], [3, 2]], 91/5308416],
[[[1, 16], [2, 7], [3, 1]], 211/7962624],
[[[1, 16], [2, 7], [4, 1]], 157/15925248],
[[[1, 17], [2, 2], [3, 3]], 7/7962624],
[[[1, 17], [2, 4], [3, 2]], 53/5308416],
[[[1, 17], [2, 6], [3, 1]], 287/11943936],
[[[1, 18], [2, 1], [3, 3]], 1/5971968],
[[[1, 18], [2, 3], [3, 2]], 127/31850496],
[[[1, 18], [2, 5], [3, 1]], 125/7962624],
[[[1, 19], [2, 2], [3, 2]], 11/10616832],
[[[1, 19], [2, 4], [3, 1]], 233/31850496],
[[[1, 20], [2, 1], [3, 2]], 5/31850496],
[[[1, 20], [2, 3], [3, 1]], 113/47775744],
[[[1, 21], [2, 2], [3, 1]], 1/1990656],
[[[1, 22], [2, 1], [3, 1]], 1/15925248],
[[[2, 5], [3, 4], [6, 6]], 1/10368],
[[[2, 5], [6, 7], [18, 1]], 1/1296],
[[[2, 7], [6, 6], [18, 1]], 1/2592],
[[[2, 9], [6, 5], [18, 1]], 1/10368],
[[[2, 11], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 1], [6, 9]], 1/93312],
[[[1, 1], [2, 4], [3, 5], [6, 5]], 1/3456],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 109/46656],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 1/864],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 73/62208],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 1/3456],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 23/93312],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 1/3456],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 181/1492992],
[[[1, 2], [2, 3], [3, 2], [6, 8]], 1/93312],
[[[1, 2], [2, 3], [3, 3], [6, 7]], 5/10368],
[[[1, 2], [2, 3], [3, 6], [6, 4]], 7/10368],
[[[1, 2], [2, 3], [3, 7], [6, 3]], 1/279936],
[[[1, 2], [2, 3], [4, 6], [8, 2]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [6, 8]], 1/15552],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 217/46656],
[[[1, 2], [2, 5], [3, 3], [6, 6]], 1/2592],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 37/10368],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 145/62208],
[[[1, 2], [2, 7], [3, 3], [6, 5]], 1/5184],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 1/6144],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 1/3456],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 1/1296],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 1/2916],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 1/1728],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 91/124416],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 253/1492992],
[[[1, 3], [2, 2], [3, 3], [6, 7]], 1/279936],
[[[1, 3], [2, 2], [3, 4], [6, 6]], 7/10368],
[[[1, 3], [2, 2], [3, 7], [6, 3]], 5/10368],
[[[1, 3], [2, 2], [3, 8], [6, 2]], 1/93312],
[[[1, 3], [2, 2], [4, 6], [8, 2]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [6, 7]], 1/15552],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 703/139968],
[[[1, 3], [2, 4], [3, 4], [6, 5]], 1/2592],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 1/432],
[[[1, 3], [2, 4], [3, 6], [6, 3]], 1/46656],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 1/64],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 1/768],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 1/2304],
[[[1, 3], [2, 6], [3, 1], [6, 7]], 1/6912],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 73/10368],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 469/186624],
[[[1, 3], [2, 6], [3, 4], [6, 4]], 1/2592],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 1/2304],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 1/2048],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 1/10368],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 1/1152],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 11/10368],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 41/279936],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 1/2048],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 5/10368],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 41/27648],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 127/124416],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 325/4478976],
[[[1, 4], [2, 1], [3, 5], [6, 5]], 1/3456],
[[[1, 4], [2, 1], [3, 9], [6, 1]], 1/93312],
[[[1, 4], [2, 3], [3, 3], [6, 6]], 1/46656],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 1/432],
[[[1, 4], [2, 3], [3, 5], [6, 4]], 1/2592],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 703/139968],
[[[1, 4], [2, 3], [3, 7], [6, 2]], 1/15552],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 1/64],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 1/768],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 2], [6, 6]], 1/2304],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 13/1944],
[[[1, 4], [2, 5], [3, 4], [4, 4]], 1/995328],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 13/3456],
[[[1, 4], [2, 5], [3, 5], [6, 3]], 11/20736],
[[[1, 4], [2, 5], [4, 4], [6, 4]], 1/995328],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 277/27648],
[[[1, 4], [2, 5], [4, 4], [12, 2]], 1/1152],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 5/1536],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 1/1152],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 1/2592],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 5/2592],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 7/15552],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 1/768],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 1/497664],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 3/2048],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 1/6912],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 53/41472],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 1/82944],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 67/27648],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 163/373248],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 1/36864],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 13/663552],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1/2048],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 37/1990656],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 1/2654208],
[[[1, 5], [2, 2], [3, 6], [6, 3]], 1/2592],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 217/46656],
[[[1, 5], [2, 2], [3, 8], [6, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 3], [6, 5]], 11/20736],
[[[1, 5], [2, 4], [3, 4], [4, 4]], 1/995328],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 13/3456],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 13/1944],
[[[1, 5], [2, 4], [3, 6], [6, 2]], 1/2304],
[[[1, 5], [2, 4], [4, 4], [6, 4]], 1/995328],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 277/27648],
[[[1, 5], [2, 4], [4, 4], [12, 2]], 1/1152],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 5/1536],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 1/1152],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 17/10368],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 1/165888],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 25/10368],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/248832],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 13/5184],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 1/248832],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 29/4608],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 1/124416],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 1/128],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 1/384],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 23/55296],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 7/82944],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 133/41472],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 155/82944],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 23/110592],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 1/124416],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 43/663552],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 3/2048],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 1/27648],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 11/165888],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 1/4608],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 113/995328],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 1/294912],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 31/497664],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 1/864],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 109/46656],
[[[1, 6], [2, 3], [3, 4], [6, 4]], 1/2592],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 469/186624],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 73/10368],
[[[1, 6], [2, 3], [3, 7], [6, 1]], 1/6912],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 1/2304],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 1/2048],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 1/124416],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 13/5184],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 1/248832],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 25/10368],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 17/10368],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/248832],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 29/4608],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 1/165888],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 1/128],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 1/384],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 1/41472],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 47/221184],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 103/55296],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 1/41472],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 1291/165888],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 1/165888],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 1/13824],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 1/165888],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 107/165888],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 1/31104],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 41/221184],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 5/1536],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 11/41472],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 1/82944],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 37/165888],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 25/27648],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 19/55296],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 1/82944],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 1/73728],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 1/12288],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 95/248832],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 1/82944],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 25/331776],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 5], [6, 3]], 1/5184],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 145/62208],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 37/10368],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 1/6144],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 1/497664],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 7/15552],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 1/6912],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 5/2592],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 1/2592],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 1/768],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 3/2048],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 41/221184],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 1/13824],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 1/31104],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 1291/165888],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 1/165888],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 103/55296],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 1/41472],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 1/165888],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 107/165888],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 1/41472],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 47/221184],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 5/1536],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 461/663552],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 19/165888],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 1/27648],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 1/248832],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 1/248832],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 1/20736],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 5/18432],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 161/82944],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 79/110592],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 1/27648],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 7/221184],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 1/124416],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 31/110592],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 11/13824],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 1/13824],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 7/165888],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 77/165888],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 1/32768],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 19/497664],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 1/3456],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 73/62208],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 41/279936],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 5/10368],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 11/10368],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 1/1152],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 1/2048],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 43/663552],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 1/124416],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 155/82944],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 133/41472],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 23/55296],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 23/110592],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 7/82944],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 3/2048],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 79/110592],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 5/18432],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 1/20736],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 1/248832],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 1/248832],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 1/27648],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 19/165888],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 161/82944],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 461/663552],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 13/55296],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 1/27648],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 17/110592],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 5/49152],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 1/41472],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 1/82944],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 1/31104],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 13/36864],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 59/82944],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 1/6912],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 25/165888],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 1/1024],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 23/221184],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 59/248832],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 1/1728],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 1/2916],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 1/1296],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 13/663552],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 163/373248],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 67/27648],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 53/41472],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 1/36864],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 1/82944],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1/2048],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 19/55296],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 37/165888],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 1/82944],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 25/27648],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 11/41472],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 59/82944],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 1/82944],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 13/36864],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 5/49152],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 1/31104],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 1/27648],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 1/41472],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 17/110592],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 13/55296],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 11/36864],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 5/41472],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 5/55296],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 1/27648],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 11/55296],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 49/55296],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 113/663552],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 7/13824],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 1/3456],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 23/93312],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 325/4478976],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 127/124416],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 41/27648],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 113/995328],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 11/165888],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 1/4608],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 1/27648],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 11/13824],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 31/110592],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 7/221184],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 1/124416],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 1/27648],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 49/55296],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 1/27648],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 11/55296],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 5/41472],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 5/55296],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 11/36864],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 1/6144],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 101/442368],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 13/27648],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 253/1492992],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 91/124416],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 37/1990656],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 95/248832],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 1/12288],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 1/73728],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 1/82944],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 1/1024],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 25/165888],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 1/6912],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 13/27648],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 101/442368],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 1/6144],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 181/1492992],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 31/497664],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 1/294912],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 77/165888],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 7/165888],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 1/13824],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 7/13824],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 113/663552],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 1/2654208],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 25/331776],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 1/82944],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 59/248832],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 23/221184],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 19/497664],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 1/32768],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 1/294912],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 1/432],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 1/864],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 5]], 1/3456],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [6, 4], [12, 2]], 1/288],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1/432],
[[[1, 2], [2, 3], [3, 3], [6, 3], [12, 2]], 1/288],
[[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 1/1296],
[[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 1/1152],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 1/64],
[[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/1152],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 1/288],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 1/864],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 4]], 1/1152],
[[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1/1728],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/4608],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 1/82944],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 1/10368],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 1/1728],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 3], [6, 3], [12, 2]], 1/288],
[[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 1/1296],
[[[1, 3], [2, 2], [3, 4], [6, 2], [12, 2]], 1/288],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1/432],
[[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 1/1152],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 1/64],
[[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 1/864],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 6]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 1/288],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/864],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/2592],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 3]], 5/3456],
[[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 1/576],
[[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 1/576],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 49/6912],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/384],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 1/1152],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/576],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1/1152],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 1/1728],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/864],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 7/82944],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 1/1536],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1/27648],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 1/82944],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 1/864],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 1/1728],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 1/41472],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 1/3456],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 1/82944],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 1/331776],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 1/432],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 1/1152],
[[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 1/576],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 5]], 5/3456],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/2592],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/864],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 1/288],
[[[1, 4], [2, 3], [3, 6], [4, 1], [6, 2]], 1/1152],
[[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 1/576],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 49/6912],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/384],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 1/864],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/576],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/288],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/432],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 5/27648],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 89/165888],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 5/3456],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 1/432],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 13/10368],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/288],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/1536],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 13/2304],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 13/3456],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/384],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 1/192],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 11/41472],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 5/5184],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 7/3456],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 7/41472],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 1/20736],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 1/864],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 5/3456],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 1/27648],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 1/13824],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 1/13824],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 1/27648],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 1/36864],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 1/110592],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 4]], 1/1152],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 1/864],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 1/288],
[[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 1/2304],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 1/3456],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/384],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/1536],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 1/9216],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 89/165888],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 13/10368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/288],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 5/3456],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 1/432],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/432],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 5/27648],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 13/2304],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 13/3456],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/288],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 1/192],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/6912],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 13/20736],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 1/6912],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 3/2048],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 5/2304],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 1/4608],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 5/13824],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/5184],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 13/6912],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 29/10368],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 19/2304],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 1/82944],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 1/2304],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 7/13824],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1/4608],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 1/9216],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 1/6912],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 11/20736],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 1/6912],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 1/27648],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 1/4608],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 5/55296],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 1/27648],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 1/12288],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 1/98304],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 3]], 1/3456],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 1/864],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 1/1536],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/864],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 7/82944],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 1/1152],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1/1152],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 7/13824],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 1/82944],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/5184],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 3/2048],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 1/2304],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 1/4608],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 1/6912],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 29/10368],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 13/6912],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 19/2304],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 1/3456],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 5/2304],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/6912],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 13/20736],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 5/13824],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 1/9216],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 5/41472],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 13/10368],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 293/165888],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 1/3072],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 1/27648],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 1/27648],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 7/6912],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 1/9216],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 1/2304],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 23/165888],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 1/4608],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 5/18432],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 3/32768],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 1/10368],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/4608],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1/1728],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 1/82944],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1/9216],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 1/20736],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 1/864],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 5/3456],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 5/5184],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 7/3456],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 11/41472],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 7/41472],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 1/27648],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 1/27648],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 7/6912],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 293/165888],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 1/3072],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 5/41472],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 1/9216],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 13/10368],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 1/9216],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 5/13824],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 73/55296],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 1/4608],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 1/9216],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 1/27648],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 1/2304],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 23/55296],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 23/73728],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 1/3456],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 1/82944],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 1/864],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 1/1728],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1/27648],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 1/41472],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 1/4608],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 1/6912],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 1/6912],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 1/9216],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 11/20736],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 1/27648],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 1/9216],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 73/55296],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 1/4608],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 5/13824],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 1/9216],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 5/13824],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 25/18432],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1/9216],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 113/221184],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/20736],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 1/1728],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 1/13824],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 1/27648],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 23/165888],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 1/2304],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 1/9216],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1/9216],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 25/18432],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 5/13824],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 133/147456],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/10368],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 1/82944],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 5/55296],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 1/4608],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 1/27648],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 23/55296],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 1/2304],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 133/147456],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 1/36864],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 1/27648],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 5/18432],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 1/4608],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 113/221184],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 1/331776],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 1/12288],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 1/27648],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 23/73728],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 1/110592],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 3/32768],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 1/98304],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 3]], 1/288],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 3]], 1/288],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 6], [12, 1]], 1/2592],
[[[1, 1], [2, 2], [3, 5], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [12, 1]], 1/2592],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [12, 1]], 1/10368],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 3]], 1/288],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 3]], 1/288],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 5], [12, 1]], 1/2592],
[[[1, 2], [2, 1], [3, 6], [4, 1], [6, 2], [12, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [12, 1]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 1/1728],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 5/10368],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [12, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [12, 1]], 1/1728],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/192],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/864],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/20736],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/2304],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 1/1728],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 5/10368],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 1/1728],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/192],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [12, 1]], 1/1728],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 1/288],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 1/432],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 7/2304],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/576],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/864],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/5184],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/432],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 5/5184],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/864],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 5/3456],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/288],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 1/5184],
[[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 13/3456],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 1/384],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/576],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/1296],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/6912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 7/3456],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 1/1024],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 1/1728],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 7/6912],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1/10368],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 7/20736],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 1/2592],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/5184],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 1/384],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 1/576],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 7/2304],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/576],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/864],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/288],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 5/5184],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/864],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 5/3456],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 1/432],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 1/1152],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 1/432],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 13/3456],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1/288],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 1/432],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/864],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 11/10368],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/256],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/384],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1/768],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/576],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 1/432],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 5/2592],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 23/2304],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/2592],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/432],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 5/3456],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1/3456],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1024],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 19/20736],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/20736],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3072],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 1/1728],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/864],
[[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1152],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 11/10368],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/2592],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1/384],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1/768],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/432],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/576],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/432],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 23/2304],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 5/2592],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/256],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/864],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/768],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 11/5184],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1/768],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 47/6912],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1/3072],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/6912],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1/1024],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 7/6912],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 7/3456],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/1296],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 11/5184],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1/768],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 47/6912],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 1/768],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 1/3072],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1024],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 19/20736],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 5/3456],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1/3072],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 7/20736],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1/3072],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1728],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/432],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/192],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 5/432],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/576],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/1728],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/576],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/192],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/576],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 5/432],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/432],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/192],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/576],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/432],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/192],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/192],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/192],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/576],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/432],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/432],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/576],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1728],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 5/432],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 5/432]
]}